%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT032^2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:04:48 AM UTC 2026 % Result : Theorem 180.93s 181.49s % Output : Proof 180.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : AGT032^2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n011.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Wed Jun 3 01:33:05 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.53 %----Proving TH0 % 180.93/181.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 180.93/181.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 180.93/181.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 180.93/181.49 --- Run --ho-elim --full-saturate-quant at 18s... % 180.93/181.49 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 180.93/181.49 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 180.93/181.49 % SZS status Theorem % 180.93/181.49 % SZS output start Proof % 180.93/181.49 ( % 180.93/181.49 (declare-sort $$unsorted 0) % 180.93/181.49 (declare-sort tptp.mu 0) % 180.93/181.49 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.beer tptp.mu) % 180.93/181.49 (declare-const tptp.cola tptp.mu) % 180.93/181.49 (declare-const tptp.jan tptp.mu) % 180.93/181.49 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.pepsi tptp.mu) % 180.93/181.49 (declare-const tptp.piotr tptp.mu) % 180.93/181.49 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 180.93/181.49 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 180.93/181.49 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 180.93/181.49 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 180.93/181.49 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 180.93/181.49 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 180.93/181.49 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 180.93/181.49 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 180.93/181.49 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 180.93/181.49 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 180.93/181.49 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 180.93/181.49 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 180.93/181.49 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 180.93/181.49 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 180.93/181.49 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 180.93/181.49 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 180.93/181.49 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 180.93/181.49 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 180.93/181.49 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 180.93/181.49 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 180.93/181.49 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 180.93/181.49 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 180.93/181.49 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 180.93/181.49 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 180.93/181.49 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 180.93/181.49 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 180.93/181.49 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 180.93/181.49 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 180.93/181.49 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 180.93/181.49 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 180.93/181.49 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 180.93/181.49 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 180.93/181.49 (define @t1 () (_ tptp.likes tptp.jan)) % 180.93/181.49 (define @t2 () (_ @t1 tptp.cola)) % 180.93/181.49 (define @t3 () (_ tptp.mbox tptp.a1)) % 180.93/181.49 (define @t4 () (_ tptp.likes tptp.piotr)) % 180.93/181.49 (define @t5 () (_ @t4 tptp.pepsi)) % 180.93/181.49 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 180.93/181.49 (define @t7 () (@var "X" tptp.mu)) % 180.93/181.49 (define @t8 () (_ tptp.likes @t7)) % 180.93/181.49 (define @t9 () (_ @t8 tptp.cola)) % 180.93/181.49 (define @t10 () (_ @t8 tptp.pepsi)) % 180.93/181.49 (define @t11 () (_ tptp.mdia tptp.a1)) % 180.93/181.49 (define @t12 () (@list @t7 @t6)) % 180.93/181.49 (define @t13 () (_ @t1 tptp.pepsi)) % 180.93/181.49 (define @t14 () (_ tptp.mbox tptp.a2)) % 180.93/181.49 (define @t15 () (_ @t4 tptp.beer)) % 180.93/181.49 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 180.93/181.49 (define @t17 () (_ tptp.mbox tptp.a3)) % 180.93/181.49 (define @t18 () (_ tptp.mdia tptp.a3)) % 180.93/181.49 (define @t19 () (@var "Y" tptp.mu)) % 180.93/181.49 (define @t20 () (_ (_ tptp.very_much_likes @t7) @t19)) % 180.93/181.49 (define @t21 () (_ @t8 @t19)) % 180.93/181.49 (define @t22 () (@list @t19 @t6)) % 180.93/181.49 (define @t23 () (lambda @t22 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t21) (_ (_ tptp.mand (_ @t3 @t21)) (_ @t14 @t21)))) @t20)) @t6))) % 180.93/181.49 (define @t24 () (lambda @t12 (_ (_ tptp.mforall_ind @t23) @t6))) % 180.93/181.49 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t18 @t20)) @t21) @t6))) % 180.93/181.49 (define @t26 () (lambda @t12 (_ (_ tptp.mforall_ind @t25) @t6))) % 180.93/181.49 (define @t27 () (_ (_ tptp.possibly_likes @t7) @t19)) % 180.93/181.49 (define @t28 () (_ @t21 @t6)) % 180.93/181.49 (define @t29 () (lambda @t22 @t28)) % 180.93/181.49 (define @t30 () (lambda @t12 (_ (_ tptp.mexists_ind @t29) @t6))) % 180.93/181.49 (define @t31 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t30)))) % 180.93/181.49 (define @t32 () (@var "W" $$unsorted)) % 180.93/181.49 (define @t33 () (lambda (@list @t7 @t19 @t32) (= @t7 @t19))) % 180.93/181.49 (define @t34 () (@var "Y" (-> $$unsorted Bool))) % 180.93/181.49 (define @t35 () (@var "X" (-> $$unsorted Bool))) % 180.93/181.49 (define @t36 () (lambda (@list @t35 @t34 @t32) (= (_ @t35 @t32) (_ @t34 @t32)))) % 180.93/181.49 (define @t37 () (@var "Phi" (-> $$unsorted Bool))) % 180.93/181.49 (define @t38 () (_ @t37 @t32)) % 180.93/181.49 (define @t39 () (not @t38)) % 180.93/181.49 (define @t40 () (@list @t37 @t32)) % 180.93/181.49 (define @t41 () (lambda @t40 @t39)) % 180.93/181.49 (define @t42 () (@var "Psi" (-> $$unsorted Bool))) % 180.93/181.49 (define @t43 () (_ @t42 @t32)) % 180.93/181.49 (define @t44 () (lambda (@list @t37 @t42 @t32) (or @t38 @t43))) % 180.93/181.49 (define @t45 () (_ tptp.mnot @t42)) % 180.93/181.49 (define @t46 () (_ tptp.mnot @t37)) % 180.93/181.49 (define @t47 () (_ tptp.mor @t46)) % 180.93/181.49 (define @t48 () (@list @t37 @t42 @t6)) % 180.93/181.49 (define @t49 () (lambda @t48 (_ (_ tptp.mnot (_ @t47 @t45)) @t6))) % 180.93/181.49 (define @t50 () (lambda @t48 (_ (_ @t47 @t42) @t6))) % 180.93/181.49 (define @t51 () (lambda @t48 (_ (_ (_ tptp.mor @t45) @t37) @t6))) % 180.93/181.49 (define @t52 () (lambda @t48 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t37) @t42)) (_ (_ tptp.mimplies @t42) @t37)) @t6))) % 180.93/181.49 (define @t53 () (lambda @t48 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t37) @t42)) @t6))) % 180.93/181.49 (define @t54 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 180.93/181.49 (define @t55 () (_ @t54 @t7)) % 180.93/181.49 (define @t56 () (_ @t55 @t32)) % 180.93/181.49 (define @t57 () (@list @t7)) % 180.93/181.49 (define @t58 () (forall @t57 @t56)) % 180.93/181.49 (define @t59 () (@list @t54 @t32)) % 180.93/181.49 (define @t60 () (lambda @t59 @t58)) % 180.93/181.49 (define @t61 () (@var "P" (-> $$unsorted Bool))) % 180.93/181.49 (define @t62 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 180.93/181.49 (define @t63 () (_ @t62 @t61)) % 180.93/181.49 (define @t64 () (lambda (@list @t62 @t32) (forall (@list @t61) (_ @t63 @t32)))) % 180.93/181.49 (define @t65 () (lambda @t12 (_ (_ tptp.mnot @t55) @t6))) % 180.93/181.49 (define @t66 () (@list @t54 @t6)) % 180.93/181.49 (define @t67 () (lambda @t66 (_ (_ tptp.mnot (_ tptp.mforall_ind @t65)) @t6))) % 180.93/181.49 (define @t68 () (lambda (@list @t62 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t61 @t6) (_ (_ tptp.mnot @t63) @t6)))) @t6))) % 180.93/181.49 (define @t69 () (@list @t32)) % 180.93/181.49 (define @t70 () (lambda @t69 true)) % 180.93/181.49 (define @t71 () (@var "V" $$unsorted)) % 180.93/181.49 (define @t72 () (_ @t37 @t71)) % 180.93/181.49 (define @t73 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 180.93/181.49 (define @t74 () (_ (_ @t73 @t32) @t71)) % 180.93/181.49 (define @t75 () (not @t74)) % 180.93/181.49 (define @t76 () (or @t75 @t72)) % 180.93/181.49 (define @t77 () (@list @t71)) % 180.93/181.49 (define @t78 () (forall @t77 @t76)) % 180.93/181.49 (define @t79 () (@list @t73 @t37 @t32)) % 180.93/181.49 (define @t80 () (lambda @t79 @t78)) % 180.93/181.49 (define @t81 () (@list @t73 @t37 @t6)) % 180.93/181.49 (define @t82 () (lambda @t81 (_ (_ tptp.mnot (_ (_ tptp.mbox @t73) @t46)) @t6))) % 180.93/181.49 (define @t83 () (@var "S" $$unsorted)) % 180.93/181.49 (define @t84 () (_ @t73 @t83)) % 180.93/181.49 (define @t85 () (@list @t83)) % 180.93/181.49 (define @t86 () (@list @t73)) % 180.93/181.49 (define @t87 () (lambda @t86 (forall @t85 (_ @t84 @t83)))) % 180.93/181.49 (define @t88 () (@var "T" $$unsorted)) % 180.93/181.49 (define @t89 () (_ @t73 @t88)) % 180.93/181.49 (define @t90 () (_ @t84 @t88)) % 180.93/181.49 (define @t91 () (lambda @t86 (forall (@list @t83 @t88) (=> @t90 (_ @t89 @t83))))) % 180.93/181.49 (define @t92 () (@list @t88)) % 180.93/181.49 (define @t93 () (lambda @t86 (forall @t85 (exists @t92 @t90)))) % 180.93/181.49 (define @t94 () (@var "U" $$unsorted)) % 180.93/181.49 (define @t95 () (_ @t84 @t94)) % 180.93/181.49 (define @t96 () (_ @t89 @t94)) % 180.93/181.49 (define @t97 () (@list @t83 @t88 @t94)) % 180.93/181.49 (define @t98 () (lambda @t86 (forall @t97 (=> (and @t90 @t96) @t95)))) % 180.93/181.49 (define @t99 () (and @t90 @t95)) % 180.93/181.49 (define @t100 () (lambda @t86 (forall @t97 (=> @t99 @t96)))) % 180.93/181.49 (define @t101 () (= @t88 @t94)) % 180.93/181.49 (define @t102 () (lambda @t86 (forall @t97 (=> @t99 @t101)))) % 180.93/181.49 (define @t103 () (@list @t94)) % 180.93/181.49 (define @t104 () (lambda @t86 (forall @t85 (exists @t92 (and @t90 (forall @t103 (=> @t95 @t101))))))) % 180.93/181.49 (define @t105 () (_ @t73 @t94)) % 180.93/181.49 (define @t106 () (_ @t105 @t88)) % 180.93/181.49 (define @t107 () (lambda @t86 (forall @t97 (=> @t90 (exists @t103 (and @t95 @t106)))))) % 180.93/181.49 (define @t108 () (lambda @t86 (forall @t97 (=> @t99 (or @t96 @t101 @t106))))) % 180.93/181.49 (define @t109 () (lambda @t86 (forall @t97 (=> @t99 (exists @t77 (and (_ @t89 @t71) (_ @t105 @t71))))))) % 180.93/181.49 (define @t110 () (forall @t69 @t38)) % 180.93/181.49 (define @t111 () (@list @t37)) % 180.93/181.49 (define @t112 () (lambda @t111 @t110)) % 180.93/181.49 (define @t113 () (lambda @t111 (forall @t69 @t39))) % 180.93/181.49 (define @t114 () (lambda @t111 (exists @t69 @t38))) % 180.93/181.49 (define @t115 () (lambda @t111 (exists @t69 @t39))) % 180.93/181.49 (define @t116 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 180.93/181.49 (define @t117 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 180.93/181.49 (define @t118 () (_ @t117 @t116 @t7)) % 180.93/181.49 (define @t119 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 180.93/181.49 (define @t120 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 180.93/181.49 (define @t121 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 180.93/181.49 (define @t122 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 180.93/181.49 (define @t123 () (not (_ @t120 (_ @t122 @t121 @t32) @t71))) % 180.93/181.49 (define @t124 () (@list @t32 @t7 @t71)) % 180.93/181.49 (define @t125 () (forall @t124 (or @t123 (not (_ @t120 (_ @t119 @t118 tptp.pepsi) @t71)) (_ @t120 (_ @t119 @t118 tptp.cola) @t71)))) % 180.93/181.49 (define @t126 () (tptp.likes @t7 tptp.cola @t71)) % 180.93/181.49 (define @t127 () (tptp.likes @t7 tptp.pepsi @t71)) % 180.93/181.49 (define @t128 () (not @t127)) % 180.93/181.49 (define @t129 () (not (tptp.a2 @t32 @t71))) % 180.93/181.49 (define @t130 () (or @t129 @t128 @t126)) % 180.93/181.49 (define @t131 () (forall @t124 @t130)) % 180.93/181.49 (define @t132 () (forall (@list @t7 @t71) @t130)) % 180.93/181.49 (define @t133 () (lambda @t69 @t132)) % 180.93/181.49 (define @t134 () (_ @t133 @t32)) % 180.93/181.49 (define @t135 () (forall @t69 @t134)) % 180.93/181.49 (define @t136 () (_ @t37 @t32)) % 180.93/181.49 (define @t137 () (lambda @t111 (forall @t69 @t136))) % 180.93/181.49 (define @t138 () (forall @t77 @t130)) % 180.93/181.49 (define @t139 () (not (tptp.a2 @t6 @t71))) % 180.93/181.49 (define @t140 () (forall @t77 (or @t139 @t128 @t126))) % 180.93/181.49 (define @t141 () (lambda @t12 @t140)) % 180.93/181.49 (define @t142 () (_ @t141 @t7 @t32)) % 180.93/181.49 (define @t143 () (forall @t57 @t142)) % 180.93/181.49 (define @t144 () (lambda @t69 @t143)) % 180.93/181.49 (define @t145 () (_ @t54 @t7 @t32)) % 180.93/181.49 (define @t146 () (forall @t57 @t145)) % 180.93/181.49 (define @t147 () (lambda @t59 @t146)) % 180.93/181.49 (define @t148 () (_ @t9 @t71)) % 180.93/181.49 (define @t149 () (_ @t10 @t71)) % 180.93/181.49 (define @t150 () (not @t149)) % 180.93/181.49 (define @t151 () (or @t129 @t150 @t148)) % 180.93/181.49 (define @t152 () (or @t150 @t148)) % 180.93/181.49 (define @t153 () (not (_ @t10 @t6))) % 180.93/181.49 (define @t154 () (@list @t6)) % 180.93/181.49 (define @t155 () (lambda @t154 (or @t153 (_ @t9 @t6)))) % 180.93/181.49 (define @t156 () (_ @t155 @t71)) % 180.93/181.49 (define @t157 () (or @t129 @t156)) % 180.93/181.49 (define @t158 () (forall @t77 @t157)) % 180.93/181.49 (define @t159 () (lambda @t69 @t158)) % 180.93/181.49 (define @t160 () (_ @t37 @t71)) % 180.93/181.49 (define @t161 () (lambda @t40 (forall @t77 (or @t129 @t160)))) % 180.93/181.49 (define @t162 () (_ @t42 @t6)) % 180.93/181.49 (define @t163 () (@list @t42 @t6)) % 180.93/181.49 (define @t164 () (lambda @t163 (or @t153 @t162))) % 180.93/181.49 (define @t165 () (not (_ @t37 @t6))) % 180.93/181.49 (define @t166 () (or @t165 @t162)) % 180.93/181.49 (define @t167 () (lambda @t48 @t166)) % 180.93/181.49 (define @t168 () (_ @t167 @t10)) % 180.93/181.49 (define @t169 () (_ @t73 @t32 @t71)) % 180.93/181.49 (define @t170 () (not @t169)) % 180.93/181.49 (define @t171 () (forall @t77 (or @t170 @t160))) % 180.93/181.49 (define @t172 () (lambda @t79 @t171)) % 180.93/181.49 (define @t173 () (_ @t172 tptp.a2)) % 180.93/181.49 (define @t174 () (or @t39 @t43)) % 180.93/181.49 (define @t175 () (lambda @t69 @t174)) % 180.93/181.49 (define @t176 () (@list @t42 @t32)) % 180.93/181.49 (define @t177 () (lambda @t176 @t174)) % 180.93/181.49 (define @t178 () (lambda @t69 @t39)) % 180.93/181.49 (define @t179 () (_ @t178 @t32)) % 180.93/181.49 (define @t180 () (or @t179 @t43)) % 180.93/181.49 (define @t181 () (lambda @t176 @t180)) % 180.93/181.49 (define @t182 () (_ @t117 @t116 tptp.jan)) % 180.93/181.49 (define @t183 () (_ @t119 @t182 tptp.pepsi)) % 180.93/181.49 (define @t184 () (@list @t32 @t71)) % 180.93/181.49 (define @t185 () (tptp.likes tptp.jan tptp.pepsi @t71)) % 180.93/181.49 (define @t186 () (or @t129 @t185)) % 180.93/181.49 (define @t187 () (forall @t184 @t186)) % 180.93/181.49 (define @t188 () (forall @t77 @t186)) % 180.93/181.49 (define @t189 () (lambda @t69 @t188)) % 180.93/181.49 (define @t190 () (_ @t189 @t32)) % 180.93/181.49 (define @t191 () (forall @t69 @t190)) % 180.93/181.49 (define @t192 () (_ @t13 @t71)) % 180.93/181.49 (define @t193 () (or @t129 @t192)) % 180.93/181.49 (define @t194 () (_ @t13 @t71)) % 180.93/181.49 (define @t195 () (or @t129 @t194)) % 180.93/181.49 (define @t196 () (forall @t77 @t195)) % 180.93/181.49 (define @t197 () (lambda @t69 @t196)) % 180.93/181.49 (define @t198 () (@var "BOUND_VARIABLE_9059" $$unsorted)) % 180.93/181.49 (define @t199 () (_ @t119 @t182 tptp.cola)) % 180.93/181.49 (define @t200 () (@const 6 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 180.93/181.49 (define @t201 () (_ @t119 (_ @t117 @t200 tptp.jan) tptp.cola)) % 180.93/181.49 (define @t202 () (@var "BOUND_VARIABLE_9634" tptp.mu)) % 180.93/181.49 (define @t203 () (_ @t119 @t118 @t202)) % 180.93/181.49 (define @t204 () (@list @t7 @t202)) % 180.93/181.49 (define @t205 () (forall @t69 (not (forall @t204 (not (_ @t120 @t203 @t32)))))) % 180.93/181.49 (define @t206 () (@quantifiers_skolemize @t205 0)) % 180.93/181.49 (define @t207 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 180.93/181.49 (define @t208 () (_ @t122 @t207 @t206)) % 180.93/181.49 (define @t209 () (not (_ @t120 @t208 @t71))) % 180.93/181.49 (define @t210 () (forall @t77 (or @t209 (_ @t120 @t201 @t71)))) % 180.93/181.49 (define @t211 () (@quantifiers_skolemize @t210 0)) % 180.93/181.49 (define @t212 () (_ @t122 @t121 @t211)) % 180.93/181.49 (define @t213 () (@list @t198)) % 180.93/181.49 (define @t214 () (forall @t213 (or (not (_ @t120 @t212 @t198)) (_ @t120 @t199 @t198)))) % 180.93/181.49 (define @t215 () (@quantifiers_skolemize @t214 0)) % 180.93/181.49 (define @t216 () (@var "BOUND_VARIABLE_9107" tptp.mu)) % 180.93/181.49 (define @t217 () (_ @t119 @t118 @t216)) % 180.93/181.49 (define @t218 () (@var "BOUND_VARIABLE_9068" $$unsorted)) % 180.93/181.49 (define @t219 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 180.93/181.49 (define @t220 () (@list @t218)) % 180.93/181.49 (define @t221 () (_ @t117 @t200 @t7)) % 180.93/181.49 (define @t222 () (_ @t122 @t207 @t32)) % 180.93/181.49 (define @t223 () (not (_ @t120 @t222 @t71))) % 180.93/181.49 (define @t224 () (@list @t32 @t7 @t216 @t71)) % 180.93/181.49 (define @t225 () (not (tptp.a2 @t71 @t198))) % 180.93/181.49 (define @t226 () (not (forall @t213 (or @t225 (tptp.likes @t7 @t216 @t198))))) % 180.93/181.49 (define @t227 () (not (tptp.a1 @t71 @t218))) % 180.93/181.49 (define @t228 () (not (forall @t220 (or @t227 (tptp.likes @t7 @t216 @t218))))) % 180.93/181.49 (define @t229 () (not (tptp.likes @t7 @t216 @t71))) % 180.93/181.49 (define @t230 () (tptp.very_much_likes @t7 @t216 @t71)) % 180.93/181.49 (define @t231 () (not (tptp.a3 @t32 @t71))) % 180.93/181.49 (define @t232 () (or @t231 @t230 @t229 @t228 @t226)) % 180.93/181.49 (define @t233 () (forall @t224 @t232)) % 180.93/181.49 (define @t234 () (forall (@list @t7 @t216 @t71) @t232)) % 180.93/181.49 (define @t235 () (lambda @t69 @t234)) % 180.93/181.49 (define @t236 () (_ @t235 @t32)) % 180.93/181.49 (define @t237 () (forall @t69 @t236)) % 180.93/181.49 (define @t238 () (@list @t216 @t71)) % 180.93/181.49 (define @t239 () (forall @t238 @t232)) % 180.93/181.49 (define @t240 () (not (tptp.a3 @t6 @t71))) % 180.93/181.49 (define @t241 () (forall @t238 (or @t240 @t230 @t229 @t228 @t226))) % 180.93/181.49 (define @t242 () (lambda @t12 @t241)) % 180.93/181.49 (define @t243 () (_ @t242 @t7 @t32)) % 180.93/181.49 (define @t244 () (forall @t57 @t243)) % 180.93/181.49 (define @t245 () (lambda @t69 @t244)) % 180.93/181.49 (define @t246 () (forall @t77 @t232)) % 180.93/181.49 (define @t247 () (@list @t216)) % 180.93/181.49 (define @t248 () (tptp.likes @t7 @t19 @t198)) % 180.93/181.49 (define @t249 () (not (forall @t213 (or @t225 @t248)))) % 180.93/181.49 (define @t250 () (tptp.likes @t7 @t19 @t218)) % 180.93/181.49 (define @t251 () (not (forall @t220 (or @t227 @t250)))) % 180.93/181.49 (define @t252 () (tptp.likes @t7 @t19 @t71)) % 180.93/181.49 (define @t253 () (not @t252)) % 180.93/181.49 (define @t254 () (tptp.very_much_likes @t7 @t19 @t71)) % 180.93/181.49 (define @t255 () (forall @t77 (or @t240 @t254 @t253 @t251 @t249))) % 180.93/181.49 (define @t256 () (lambda @t22 @t255)) % 180.93/181.49 (define @t257 () (_ @t256 @t216 @t32)) % 180.93/181.49 (define @t258 () (forall @t247 @t257)) % 180.93/181.49 (define @t259 () (lambda @t69 @t258)) % 180.93/181.49 (define @t260 () (@list @t7)) % 180.93/181.49 (define @t261 () (_ @t21 @t71)) % 180.93/181.49 (define @t262 () (not @t261)) % 180.93/181.49 (define @t263 () (_ @t20 @t71)) % 180.93/181.49 (define @t264 () (or @t231 @t263 @t262 @t251 @t249)) % 180.93/181.49 (define @t265 () (or @t263 @t262 @t251 @t249)) % 180.93/181.49 (define @t266 () (not @t28)) % 180.93/181.49 (define @t267 () (_ @t20 @t6)) % 180.93/181.49 (define @t268 () (forall @t77 (or @t139 @t252))) % 180.93/181.49 (define @t269 () (@list @t71)) % 180.93/181.49 (define @t270 () (not @t268)) % 180.93/181.49 (define @t271 () (forall @t77 (or (not (tptp.a1 @t6 @t71)) @t252))) % 180.93/181.49 (define @t272 () (not @t271)) % 180.93/181.49 (define @t273 () (or @t267 @t266 @t272 @t270)) % 180.93/181.49 (define @t274 () (lambda @t154 @t273)) % 180.93/181.49 (define @t275 () (or @t231 (_ @t274 @t71))) % 180.93/181.49 (define @t276 () (forall @t77 @t275)) % 180.93/181.49 (define @t277 () (lambda @t69 @t276)) % 180.93/181.49 (define @t278 () (lambda @t40 (forall @t77 (or @t231 @t160)))) % 180.93/181.49 (define @t279 () (or @t162 @t266 @t272 @t270)) % 180.93/181.49 (define @t280 () (or @t266 @t272 @t270)) % 180.93/181.49 (define @t281 () (not @t280)) % 180.93/181.49 (define @t282 () (lambda @t154 @t281)) % 180.93/181.49 (define @t283 () (_ @t282 @t6)) % 180.93/181.49 (define @t284 () (not @t283)) % 180.93/181.49 (define @t285 () (or @t284 @t162)) % 180.93/181.49 (define @t286 () (lambda @t163 @t285)) % 180.93/181.49 (define @t287 () (or @t272 @t270)) % 180.93/181.49 (define @t288 () (not @t287)) % 180.93/181.49 (define @t289 () (lambda @t154 @t288)) % 180.93/181.49 (define @t290 () (_ @t289 @t6)) % 180.93/181.49 (define @t291 () (not @t290)) % 180.93/181.49 (define @t292 () (or @t266 @t291)) % 180.93/181.49 (define @t293 () (not @t292)) % 180.93/181.49 (define @t294 () (lambda @t154 @t293)) % 180.93/181.49 (define @t295 () (not @t162)) % 180.93/181.49 (define @t296 () (lambda @t163 (not (or @t266 @t295)))) % 180.93/181.49 (define @t297 () (lambda @t69 (forall @t77 (or @t129 @t252)))) % 180.93/181.49 (define @t298 () (_ @t297 @t6)) % 180.93/181.49 (define @t299 () (not @t298)) % 180.93/181.49 (define @t300 () (or @t272 @t299)) % 180.93/181.49 (define @t301 () (not @t300)) % 180.93/181.49 (define @t302 () (lambda @t154 @t301)) % 180.93/181.49 (define @t303 () (or @t129 @t261)) % 180.93/181.49 (define @t304 () (_ @t21 @t71)) % 180.93/181.49 (define @t305 () (or @t129 @t304)) % 180.93/181.49 (define @t306 () (forall @t77 @t305)) % 180.93/181.49 (define @t307 () (lambda @t69 @t306)) % 180.93/181.49 (define @t308 () (not (tptp.a1 @t32 @t71))) % 180.93/181.49 (define @t309 () (lambda @t69 (forall @t77 (or @t308 @t252)))) % 180.93/181.49 (define @t310 () (_ @t309 @t6)) % 180.93/181.49 (define @t311 () (not @t310)) % 180.93/181.49 (define @t312 () (or @t311 @t295)) % 180.93/181.49 (define @t313 () (not @t312)) % 180.93/181.49 (define @t314 () (lambda @t163 @t313)) % 180.93/181.49 (define @t315 () (not (or @t165 @t295))) % 180.93/181.49 (define @t316 () (lambda @t48 @t315)) % 180.93/181.49 (define @t317 () (or @t308 @t261)) % 180.93/181.49 (define @t318 () (or @t308 @t304)) % 180.93/181.49 (define @t319 () (forall @t77 @t318)) % 180.93/181.49 (define @t320 () (lambda @t69 @t319)) % 180.93/181.49 (define @t321 () (lambda @t40 (forall @t77 (or @t308 @t160)))) % 180.93/181.49 (define @t322 () (_ @t172 tptp.a1)) % 180.93/181.49 (define @t323 () (_ @t316 @t21)) % 180.93/181.49 (define @t324 () (_ @t172 tptp.a3)) % 180.93/181.49 (define @t325 () (lambda @t22 (_ (_ @t324 (_ (_ @t167 (_ @t323 (_ (_ @t316 (_ @t322 @t21)) (_ @t173 @t21)))) @t20)) @t6))) % 180.93/181.49 (define @t326 () (not @t43)) % 180.93/181.49 (define @t327 () (or @t39 @t326)) % 180.93/181.49 (define @t328 () (lambda @t69 @t327)) % 180.93/181.49 (define @t329 () (_ @t328 @t32)) % 180.93/181.49 (define @t330 () (not @t329)) % 180.93/181.49 (define @t331 () (lambda @t69 @t330)) % 180.93/181.49 (define @t332 () (lambda @t69 @t326)) % 180.93/181.49 (define @t333 () (_ @t332 @t32)) % 180.93/181.49 (define @t334 () (or @t39 @t333)) % 180.93/181.49 (define @t335 () (lambda @t69 @t334)) % 180.93/181.49 (define @t336 () (_ @t120 @t199 @t71)) % 180.93/181.49 (define @t337 () (tptp.likes tptp.jan tptp.cola @t71)) % 180.93/181.49 (define @t338 () (or @t308 @t337)) % 180.93/181.49 (define @t339 () (forall @t184 @t338)) % 180.93/181.49 (define @t340 () (forall @t77 @t338)) % 180.93/181.49 (define @t341 () (lambda @t69 @t340)) % 180.93/181.49 (define @t342 () (_ @t341 @t32)) % 180.93/181.49 (define @t343 () (forall @t69 @t342)) % 180.93/181.49 (define @t344 () (_ @t2 @t71)) % 180.93/181.49 (define @t345 () (or @t308 @t344)) % 180.93/181.49 (define @t346 () (_ @t2 @t71)) % 180.93/181.49 (define @t347 () (or @t308 @t346)) % 180.93/181.49 (define @t348 () (forall @t77 @t347)) % 180.93/181.49 (define @t349 () (lambda @t69 @t348)) % 180.93/181.49 (define @t350 () (_ @t122 @t219 @t211)) % 180.93/181.49 (define @t351 () (forall @t220 (or (not (_ @t120 @t350 @t218)) (_ @t120 @t199 @t218)))) % 180.93/181.49 (define @t352 () (@quantifiers_skolemize @t351 0)) % 180.93/181.49 (define @t353 () (or (not (_ @t120 @t350 @t352)) (_ @t120 @t199 @t352))) % 180.93/181.49 (define @t354 () (not @t353)) % 180.93/181.49 (define @t355 () (not @t351)) % 180.93/181.49 (define @t356 () (or @t231 @t337)) % 180.93/181.49 (define @t357 () (forall @t184 @t356)) % 180.93/181.49 (define @t358 () (forall @t77 @t356)) % 180.93/181.49 (define @t359 () (lambda @t69 @t358)) % 180.93/181.49 (define @t360 () (_ @t359 @t32)) % 180.93/181.49 (define @t361 () (forall @t69 @t360)) % 180.93/181.49 (define @t362 () (or @t231 @t344)) % 180.93/181.49 (define @t363 () (or @t231 @t346)) % 180.93/181.49 (define @t364 () (forall @t77 @t363)) % 180.93/181.49 (define @t365 () (lambda @t69 @t364)) % 180.93/181.49 (define @t366 () (@var "BOUND_VARIABLE_9300" $$unsorted)) % 180.93/181.49 (define @t367 () (@var "BOUND_VARIABLE_9278" tptp.mu)) % 180.93/181.49 (define @t368 () (@list @t32 @t7 @t367 @t366)) % 180.93/181.49 (define @t369 () (not (tptp.very_much_likes @t7 @t367 @t366))) % 180.93/181.49 (define @t370 () (not (tptp.a3 @t32 @t366))) % 180.93/181.49 (define @t371 () (tptp.likes @t7 @t367 @t32)) % 180.93/181.49 (define @t372 () (or @t371 @t370 @t369)) % 180.93/181.49 (define @t373 () (forall @t368 @t372)) % 180.93/181.49 (define @t374 () (forall (@list @t7 @t367 @t366) @t372)) % 180.93/181.49 (define @t375 () (lambda @t69 @t374)) % 180.93/181.49 (define @t376 () (_ @t375 @t32)) % 180.93/181.49 (define @t377 () (forall @t69 @t376)) % 180.93/181.49 (define @t378 () (@list @t367 @t366)) % 180.93/181.49 (define @t379 () (forall @t378 @t372)) % 180.93/181.49 (define @t380 () (forall @t378 (or (tptp.likes @t7 @t367 @t6) (not (tptp.a3 @t6 @t366)) @t369))) % 180.93/181.49 (define @t381 () (lambda @t12 @t380)) % 180.93/181.49 (define @t382 () (_ @t381 @t7 @t32)) % 180.93/181.49 (define @t383 () (forall @t57 @t382)) % 180.93/181.49 (define @t384 () (lambda @t69 @t383)) % 180.93/181.49 (define @t385 () (or @t370 @t369)) % 180.93/181.49 (define @t386 () (or @t385 @t371)) % 180.93/181.49 (define @t387 () (forall @t378 @t386)) % 180.93/181.49 (define @t388 () (@list @t366)) % 180.93/181.49 (define @t389 () (forall @t388 @t386)) % 180.93/181.49 (define @t390 () (@list @t367)) % 180.93/181.49 (define @t391 () (forall @t388 @t385)) % 180.93/181.49 (define @t392 () (or @t391 @t371)) % 180.93/181.49 (define @t393 () (forall @t77 (or @t231 (not (tptp.very_much_likes @t7 @t367 @t71))))) % 180.93/181.49 (define @t394 () (_ (_ @t8 @t367) @t32)) % 180.93/181.49 (define @t395 () (or @t393 @t394)) % 180.93/181.49 (define @t396 () (forall @t77 (or @t240 (not @t254)))) % 180.93/181.49 (define @t397 () (or @t396 @t28)) % 180.93/181.49 (define @t398 () (lambda @t22 @t397)) % 180.93/181.49 (define @t399 () (_ @t398 @t367 @t32)) % 180.93/181.49 (define @t400 () (forall @t390 @t399)) % 180.93/181.49 (define @t401 () (lambda @t69 @t400)) % 180.93/181.49 (define @t402 () (lambda @t154 @t397)) % 180.93/181.49 (define @t403 () (not @t396)) % 180.93/181.49 (define @t404 () (lambda @t154 @t403)) % 180.93/181.49 (define @t405 () (_ @t404 @t6)) % 180.93/181.49 (define @t406 () (not @t405)) % 180.93/181.49 (define @t407 () (or @t406 @t162)) % 180.93/181.49 (define @t408 () (lambda @t163 @t407)) % 180.93/181.49 (define @t409 () (not @t263)) % 180.93/181.49 (define @t410 () (or @t240 @t409)) % 180.93/181.49 (define @t411 () (_ @t20 @t71)) % 180.93/181.49 (define @t412 () (not @t411)) % 180.93/181.49 (define @t413 () (or @t240 @t412)) % 180.93/181.49 (define @t414 () (forall @t77 @t413)) % 180.93/181.49 (define @t415 () (not @t414)) % 180.93/181.49 (define @t416 () (lambda @t154 @t415)) % 180.93/181.49 (define @t417 () (not @t160)) % 180.93/181.49 (define @t418 () (lambda (@list @t37 @t6) (not (forall @t77 (or @t240 @t417))))) % 180.93/181.49 (define @t419 () (not (forall @t77 (or (not (_ @t73 @t6 @t71)) @t417)))) % 180.93/181.49 (define @t420 () (_ (lambda @t81 @t419) tptp.a3)) % 180.93/181.49 (define @t421 () (lambda @t22 (_ (_ (_ @t167 (_ @t420 @t20)) @t21) @t6))) % 180.93/181.49 (define @t422 () (forall @t77 (or @t170 @t417))) % 180.93/181.49 (define @t423 () (lambda @t69 @t422)) % 180.93/181.49 (define @t424 () (_ @t423 @t32)) % 180.93/181.49 (define @t425 () (not @t424)) % 180.93/181.49 (define @t426 () (lambda @t69 @t425)) % 180.93/181.49 (define @t427 () (not @t72)) % 180.93/181.49 (define @t428 () (or @t170 @t427)) % 180.93/181.49 (define @t429 () (_ @t178 @t71)) % 180.93/181.49 (define @t430 () (or @t170 @t429)) % 180.93/181.49 (define @t431 () (forall @t77 @t430)) % 180.93/181.49 (define @t432 () (lambda @t69 @t431)) % 180.93/181.49 (define @t433 () (lambda @t40 @t171)) % 180.93/181.49 (define @t434 () (_ @t119 (_ @t117 @t116 tptp.piotr) tptp.pepsi)) % 180.93/181.49 (define @t435 () (not (_ @t120 @t434 @t71))) % 180.93/181.49 (define @t436 () (@quantifiers_skolemize (forall @t77 (or @t209 @t435)) 0)) % 180.93/181.49 (define @t437 () (tptp.likes tptp.piotr tptp.pepsi @t71)) % 180.93/181.49 (define @t438 () (not @t437)) % 180.93/181.49 (define @t439 () (not (forall @t77 (or @t231 @t438)))) % 180.93/181.49 (define @t440 () (lambda @t154 (not (forall @t77 (or @t240 @t438))))) % 180.93/181.49 (define @t441 () (_ @t440 @t32)) % 180.93/181.49 (define @t442 () (forall @t69 @t441)) % 180.93/181.49 (define @t443 () (_ @t5 @t71)) % 180.93/181.49 (define @t444 () (not @t443)) % 180.93/181.49 (define @t445 () (or @t240 @t444)) % 180.93/181.49 (define @t446 () (_ @t5 @t71)) % 180.93/181.49 (define @t447 () (not @t446)) % 180.93/181.49 (define @t448 () (or @t240 @t447)) % 180.93/181.49 (define @t449 () (forall @t77 @t448)) % 180.93/181.49 (define @t450 () (not @t449)) % 180.93/181.49 (define @t451 () (lambda @t154 @t450)) % 180.93/181.49 (define @t452 () (_ @t120 @t208 @t436)) % 180.93/181.49 (define @t453 () (not @t452)) % 180.93/181.49 (define @t454 () (or @t453 (not (_ @t120 @t434 @t436)))) % 180.93/181.49 (define @t455 () (@list true)) % 180.93/181.49 (define @t456 () (not @t205)) % 180.93/181.49 (define @t457 () (not (forall @t204 (not (tptp.likes @t7 @t202 @t32))))) % 180.93/181.49 (define @t458 () (tptp.likes @t7 @t202 @t6)) % 180.93/181.49 (define @t459 () (not @t458)) % 180.93/181.49 (define @t460 () (forall @t204 @t459)) % 180.93/181.49 (define @t461 () (lambda @t154 (not @t460))) % 180.93/181.49 (define @t462 () (_ @t461 @t32)) % 180.93/181.49 (define @t463 () (forall @t69 @t462)) % 180.93/181.49 (define @t464 () (@list @t202)) % 180.93/181.49 (define @t465 () (forall @t464 @t459)) % 180.93/181.49 (define @t466 () (not @t465)) % 180.93/181.49 (define @t467 () (lambda @t12 @t466)) % 180.93/181.49 (define @t468 () (_ @t467 @t7 @t6)) % 180.93/181.49 (define @t469 () (not @t468)) % 180.93/181.49 (define @t470 () (forall @t57 @t469)) % 180.93/181.49 (define @t471 () (not @t470)) % 180.93/181.49 (define @t472 () (lambda @t154 @t471)) % 180.93/181.49 (define @t473 () (forall @t57 (not (_ @t54 @t7 @t6)))) % 180.93/181.49 (define @t474 () (not @t473)) % 180.93/181.49 (define @t475 () (lambda @t66 @t474)) % 180.93/181.49 (define @t476 () (_ (_ @t8 @t202) @t6)) % 180.93/181.49 (define @t477 () (not @t476)) % 180.93/181.49 (define @t478 () (_ @t29 @t202 @t6)) % 180.93/181.49 (define @t479 () (not @t478)) % 180.93/181.49 (define @t480 () (forall @t464 @t479)) % 180.93/181.49 (define @t481 () (not @t480)) % 180.93/181.49 (define @t482 () (lambda @t154 @t481)) % 180.93/181.49 (define @t483 () (lambda @t12 (_ (_ @t475 @t29) @t6))) % 180.93/181.49 (define @t484 () (forall @t57 (not @t145))) % 180.93/181.49 (define @t485 () (lambda @t69 @t484)) % 180.93/181.49 (define @t486 () (_ @t485 @t32)) % 180.93/181.49 (define @t487 () (not @t486)) % 180.93/181.49 (define @t488 () (lambda @t69 @t487)) % 180.93/181.49 (define @t489 () (not @t56)) % 180.93/181.49 (define @t490 () (not (_ @t55 @t6))) % 180.93/181.49 (define @t491 () (lambda @t12 @t490)) % 180.93/181.49 (define @t492 () (_ @t491 @t7 @t32)) % 180.93/181.49 (define @t493 () (forall @t57 @t492)) % 180.93/181.49 (define @t494 () (lambda @t69 @t493)) % 180.93/181.49 (define @t495 () (lambda @t69 @t489)) % 180.93/181.49 (define @t496 () (_ @t41 @t55)) % 180.93/181.49 (define @t497 () (forall @t204 (not (_ @t120 @t203 @t206)))) % 180.93/181.49 (define @t498 () (not (not @t497))) % 180.93/181.49 (define @t499 () (_ @t120 @t201 @t436)) % 180.93/181.49 (define @t500 () (not @t499)) % 180.93/181.49 (define @t501 () (_ @t120 @t199 @t206)) % 180.93/181.49 (define @t502 () (or @t501 @t453 @t500)) % 180.93/181.49 (define @t503 () (or @t453 @t499)) % 180.93/181.49 (define @t504 () (not @t503)) % 180.93/181.49 (define @t505 () (not @t210)) % 180.93/181.49 (define @t506 () (_ @t120 @t201 @t211)) % 180.93/181.49 (define @t507 () (_ @t120 @t208 @t211)) % 180.93/181.49 (define @t508 () (not @t507)) % 180.93/181.49 (define @t509 () (or @t508 @t506)) % 180.93/181.49 (define @t510 () (not @t509)) % 180.93/181.49 (define @t511 () (@list @t509)) % 180.93/181.49 (define @t512 () (_ @t120 @t199 @t211)) % 180.93/181.49 (define @t513 () (or @t508 @t512)) % 180.93/181.49 (define @t514 () (@list false false)) % 180.93/181.49 (define @t515 () (not @t214)) % 180.93/181.49 (define @t516 () (not @t512)) % 180.93/181.49 (define @t517 () (or @t508 @t506 @t516 @t355 @t515)) % 180.93/181.49 (define @t518 () (_ @t120 @t199 @t215)) % 180.93/181.49 (define @t519 () (_ @t120 @t212 @t215)) % 180.93/181.49 (define @t520 () (not @t519)) % 180.93/181.49 (define @t521 () (or @t520 @t518)) % 180.93/181.49 (define @t522 () (not @t521)) % 180.93/181.49 (define @t523 () (@list @t521)) % 180.93/181.49 (define @t524 () (_ @t120 @t183 @t215)) % 180.93/181.49 (define @t525 () (or @t520 @t524)) % 180.93/181.49 (define @t526 () (not @t524)) % 180.93/181.49 (define @t527 () (or @t520 @t526 @t518)) % 180.93/181.49 (define @t528 () (not @t527)) % 180.93/181.49 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 180.93/181.49 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 180.93/181.49 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 180.93/181.49 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 180.93/181.49 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 180.93/181.49 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 180.93/181.49 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 180.93/181.49 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 180.93/181.49 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 180.93/181.49 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 180.93/181.49 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 180.93/181.49 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 180.93/181.49 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 180.93/181.49 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) % 180.93/181.49 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t17 @t20)) @t20) @t6))) @t6))))) % 180.93/181.49 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind @t26))) % 180.93/181.49 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t11 @t21)) @t27) @t6))) @t6))))) % 180.93/181.49 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t21)) @t27) @t6))) @t6))))) % 180.93/181.49 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t27) @t6))) @t6))))) % 180.93/181.49 (assume @p20 @t31) % 180.93/181.49 (assume @p21 true) % 180.93/181.49 (step @p22 (= tptp.meq_ind @t33) :rule refl :args (@t33)) % 180.93/181.49 (step @p23 (= tptp.meq_prop @t36) :rule refl :args (@t36)) % 180.93/181.49 (step @p24 (= tptp.mnot @t41) :rule refl :args (@t41)) % 180.93/181.49 (step @p25 (= tptp.mor @t44) :rule refl :args (@t44)) % 180.93/181.49 (step @p26 (= tptp.mand @t49) :rule refl :args (@t49)) % 180.93/181.49 (step @p27 (= tptp.mimplies @t50) :rule refl :args (@t50)) % 180.93/181.49 (step @p28 (= tptp.mimplied @t51) :rule refl :args (@t51)) % 180.93/181.49 (step @p29 (= tptp.mequiv @t52) :rule refl :args (@t52)) % 180.93/181.49 (step @p30 (= tptp.mxor @t53) :rule refl :args (@t53)) % 180.93/181.49 (step @p31 (= tptp.mforall_ind @t60) :rule refl :args (@t60)) % 180.93/181.49 (step @p32 (= tptp.mforall_prop @t64) :rule refl :args (@t64)) % 180.93/181.49 (step @p33 (= tptp.mexists_ind @t67) :rule refl :args (@t67)) % 180.93/181.49 (step @p34 (= tptp.mexists_prop @t68) :rule refl :args (@t68)) % 180.93/181.49 (step @p35 (= tptp.mtrue @t70) :rule refl :args (@t70)) % 180.93/181.49 (step @p36 (= tptp.mbox @t80) :rule refl :args (@t80)) % 180.93/181.49 (step @p37 (= tptp.mdia @t82) :rule refl :args (@t82)) % 180.93/181.49 (step @p38 (= tptp.mreflexive @t87) :rule refl :args (@t87)) % 180.93/181.49 (step @p39 (= tptp.msymmetric @t91) :rule refl :args (@t91)) % 180.93/181.49 (step @p40 (= tptp.mserial @t93) :rule refl :args (@t93)) % 180.93/181.49 (step @p41 (= tptp.mtransitive @t98) :rule refl :args (@t98)) % 180.93/181.49 (step @p42 (= tptp.meuclidean @t100) :rule refl :args (@t100)) % 180.93/181.49 (step @p43 (= tptp.mpartially_functional @t102) :rule refl :args (@t102)) % 180.93/181.49 (step @p44 (= tptp.mfunctional @t104) :rule refl :args (@t104)) % 180.93/181.49 (step @p45 (= tptp.mweakly_dense @t107) :rule refl :args (@t107)) % 180.93/181.49 (step @p46 (= tptp.mweakly_connected @t108) :rule refl :args (@t108)) % 180.93/181.49 (step @p47 (= tptp.mweakly_directed @t109) :rule refl :args (@t109)) % 180.93/181.49 (step @p48 (= tptp.mvalid @t112) :rule refl :args (@t112)) % 180.93/181.49 (step @p49 (= tptp.minvalid @t113) :rule refl :args (@t113)) % 180.93/181.49 (step @p50 (= tptp.msatisfiable @t114) :rule refl :args (@t114)) % 180.93/181.49 (step @p51 (= tptp.mcountersatisfiable @t115) :rule refl :args (@t115)) % 180.93/181.49 ; WARNING: add trust step for TRUST % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p52 :rule trust :premises () :args ((= @t131 @t125))) % 180.93/181.49 (step @p53 :rule quant-merge-prenex :args ((= (forall @t69 @t132) @t131))) % 180.93/181.49 (step @p54 :rule beta-reduce :args ((= @t134 @t132))) % 180.93/181.49 (step @p55 :rule cong :premises (@p54) :args (@t135)) % 180.93/181.49 (step @p56 :rule trans :premises (@p55 @p53)) % 180.93/181.49 (step @p57 :rule beta-reduce :args ((= (_ @t137 @t133) @t135))) % 180.93/181.49 (step @p58 :rule trans :premises (@p57 @p56)) % 180.93/181.49 (step @p59 :rule quant-merge-prenex :args ((= (forall @t57 @t138) @t132))) % 180.93/181.49 (step @p60 :rule beta-reduce :args ((= @t142 @t138))) % 180.93/181.49 (step @p61 :rule cong :premises (@p60) :args (@t143)) % 180.93/181.49 (step @p62 :rule trans :premises (@p61 @p59)) % 180.93/181.49 (step @p63 :rule cong :premises (@p62) :args (@t144)) % 180.93/181.49 (step @p64 :rule beta-reduce :args ((= (_ @t147 @t141) @t144))) % 180.93/181.49 (step @p65 :rule trans :premises (@p64 @p63)) % 180.93/181.49 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t69 @t138) @t6) @t140))) % 180.93/181.49 (step @p67 :rule refl :args (@t6)) % 180.93/181.49 (step @p68 :rule refl :args (@t126)) % 180.93/181.49 (step @p69 :rule refl :args (@t148)) % 180.93/181.49 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t148 @t126))) % 180.93/181.49 (step @p71 :rule symm :premises (@p70)) % 180.93/181.49 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 180.93/181.49 (step @p73 :rule refl :args (@t127)) % 180.93/181.49 (step @p74 :rule refl :args (@t149)) % 180.93/181.49 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t149 @t127))) % 180.93/181.49 (step @p76 :rule symm :premises (@p75)) % 180.93/181.49 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 180.93/181.49 (step @p78 :rule cong :premises (@p77) :args (@t150)) % 180.93/181.49 (step @p79 :rule refl :args (@t129)) % 180.93/181.49 (step @p80 :rule nary_cong :premises (@p79 @p78 @p72) :args (@t151)) % 180.93/181.49 (step @p81 :rule cong :premises (@p80) :args ((forall @t77 @t151))) % 180.93/181.49 (step @p82 :rule aci_norm :args ((= (or @t129 @t152) @t151))) % 180.93/181.49 (step @p83 :rule beta-reduce :args ((= @t156 @t152))) % 180.93/181.49 (step @p84 :rule refl :args (@t129)) % 180.93/181.49 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t157)) % 180.93/181.49 (step @p86 :rule trans :premises (@p85 @p82)) % 180.93/181.49 (step @p87 :rule cong :premises (@p86) :args (@t158)) % 180.93/181.49 (step @p88 :rule trans :premises (@p87 @p81)) % 180.93/181.49 (step @p89 :rule cong :premises (@p88) :args (@t159)) % 180.93/181.49 (step @p90 :rule beta-reduce :args ((= (_ @t161 @t155) @t159))) % 180.93/181.49 (step @p91 :rule trans :premises (@p90 @p89)) % 180.93/181.49 (step @p92 :rule beta-reduce :args ((= (_ @t164 @t9) @t155))) % 180.93/181.49 (step @p93 :rule refl :args (@t9)) % 180.93/181.49 (step @p94 :rule beta-reduce :args ((= @t168 @t164))) % 180.93/181.49 (step @p95 :rule ho_cong :premises (@p94 @p93)) % 180.93/181.49 (step @p96 :rule trans :premises (@p95 @p92)) % 180.93/181.49 (step @p97 :rule beta-reduce :args ((= @t173 @t161))) % 180.93/181.49 (step @p98 :rule ho_cong :premises (@p97 @p96)) % 180.93/181.49 (step @p99 :rule trans :premises (@p98 @p91)) % 180.93/181.49 (step @p100 :rule ho_cong :premises (@p99 @p67)) % 180.93/181.49 (step @p101 :rule trans :premises (@p100 @p66)) % 180.93/181.49 (step @p102 :rule cong :premises (@p101) :args ((lambda @t12 (_ (_ @t173 (_ @t168 @t9)) @t6)))) % 180.93/181.49 (step @p103 :rule refl :args (@t147)) % 180.93/181.49 (step @p104 :rule ho_cong :premises (@p103 @p102)) % 180.93/181.49 (step @p105 :rule trans :premises (@p104 @p65)) % 180.93/181.49 (step @p106 :rule refl :args (@t137)) % 180.93/181.49 (step @p107 :rule ho_cong :premises (@p106 @p105)) % 180.93/181.49 (step @p108 :rule trans :premises (@p107 @p58)) % 180.93/181.49 (step @p109 :rule refl :args (@t10)) % 180.93/181.49 (step @p110 :rule beta-reduce :args ((= (_ @t175 @t6) @t166))) % 180.93/181.49 (step @p111 :rule beta-reduce :args ((= (_ @t177 @t42) @t175))) % 180.93/181.49 (step @p112 :rule refl :args (@t42)) % 180.93/181.49 (step @p113 :rule refl :args (@t43)) % 180.93/181.49 (step @p114 :rule beta-reduce :args ((= @t179 @t39))) % 180.93/181.49 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t180)) % 180.93/181.49 (step @p116 :rule cong :premises (@p115) :args (@t181)) % 180.93/181.49 (step @p117 :rule beta-reduce :args ((= (_ @t44 @t178) @t181))) % 180.93/181.49 (step @p118 :rule trans :premises (@p117 @p116)) % 180.93/181.49 (step @p119 :rule beta-reduce :args ((= (_ @t41 @t37) @t178))) % 180.93/181.49 (step @p120 :rule refl :args (@t44)) % 180.93/181.49 (step @p121 :rule ho_cong :premises (@p120 @p119)) % 180.93/181.49 (step @p122 :rule trans :premises (@p121 @p118)) % 180.93/181.49 (step @p123 :rule ho_cong :premises (@p122 @p112)) % 180.93/181.49 (step @p124 :rule trans :premises (@p123 @p111)) % 180.93/181.49 (step @p125 :rule ho_cong :premises (@p124 @p67)) % 180.93/181.49 (step @p126 :rule trans :premises (@p125 @p110)) % 180.93/181.49 (step @p127 :rule refl :args (@t37)) % 180.93/181.49 (step @p128 :rule ho_cong :premises (@p24 @p127)) % 180.93/181.49 (step @p129 :rule ho_cong :premises (@p25 @p128)) % 180.93/181.49 (step @p130 :rule ho_cong :premises (@p129 @p112)) % 180.93/181.49 (step @p131 :rule ho_cong :premises (@p130 @p67)) % 180.93/181.49 (step @p132 :rule trans :premises (@p131 @p126)) % 180.93/181.49 (step @p133 :rule cong :premises (@p132) :args (@t50)) % 180.93/181.49 (step @p134 :rule trans :premises (@p27 @p133)) % 180.93/181.49 (step @p135 :rule ho_cong :premises (@p134 @p109)) % 180.93/181.49 (step @p136 :rule ho_cong :premises (@p135 @p93)) % 180.93/181.49 (step @p137 :rule refl :args (tptp.a2)) % 180.93/181.49 (step @p138 :rule refl :args (@t160)) % 180.93/181.49 (step @p139 :rule refl :args (@t72)) % 180.93/181.49 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t72 @t160))) % 180.93/181.49 (step @p141 :rule symm :premises (@p140)) % 180.93/181.49 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 180.93/181.49 (step @p143 :rule refl :args (@t169)) % 180.93/181.49 (step @p144 :rule refl :args (@t74)) % 180.93/181.49 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t74 @t169))) % 180.93/181.49 (step @p146 :rule symm :premises (@p145)) % 180.93/181.49 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 180.93/181.49 (step @p148 :rule cong :premises (@p147) :args (@t75)) % 180.93/181.49 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t76)) % 180.93/181.49 (step @p150 :rule cong :premises (@p149) :args (@t78)) % 180.93/181.49 (step @p151 :rule cong :premises (@p150) :args (@t80)) % 180.93/181.49 (step @p152 :rule trans :premises (@p36 @p151)) % 180.93/181.49 (step @p153 :rule ho_cong :premises (@p152 @p137)) % 180.93/181.49 (step @p154 :rule ho_cong :premises (@p153 @p136)) % 180.93/181.49 (step @p155 :rule ho_cong :premises (@p154 @p67)) % 180.93/181.49 (step @p156 :rule cong :premises (@p155) :args (@t16)) % 180.93/181.49 (step @p157 :rule refl :args (@t145)) % 180.93/181.49 (step @p158 :rule refl :args (@t56)) % 180.93/181.49 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t56 @t145))) % 180.93/181.49 (step @p160 :rule symm :premises (@p159)) % 180.93/181.49 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 180.93/181.49 (step @p162 :rule cong :premises (@p161) :args (@t58)) % 180.93/181.49 (step @p163 :rule cong :premises (@p162) :args (@t60)) % 180.93/181.49 (step @p164 :rule trans :premises (@p31 @p163)) % 180.93/181.49 (step @p165 :rule ho_cong :premises (@p164 @p156)) % 180.93/181.49 (step @p166 :rule refl :args (@t136)) % 180.93/181.49 (step @p167 :rule refl :args (@t38)) % 180.93/181.49 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t38 @t136))) % 180.93/181.49 (step @p169 :rule symm :premises (@p168)) % 180.93/181.49 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 180.93/181.49 (step @p171 :rule cong :premises (@p170) :args (@t110)) % 180.93/181.49 (step @p172 :rule cong :premises (@p171) :args (@t112)) % 180.93/181.49 (step @p173 :rule trans :premises (@p48 @p172)) % 180.93/181.49 (step @p174 :rule ho_cong :premises (@p173 @p165)) % 180.93/181.49 (step @p175 :rule trans :premises (@p174 @p108)) % 180.93/181.49 (step @p176 :rule trans :premises (@p175 @p52)) % 180.93/181.49 (step @p177 :rule eq_resolve :premises (@p9 @p176)) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p178 :rule trust :premises () :args ((= @t187 (forall @t184 (or @t123 (_ @t120 @t183 @t71)))))) % 180.93/181.49 (step @p179 :rule quant-merge-prenex :args ((= (forall @t69 @t188) @t187))) % 180.93/181.49 (step @p180 :rule beta-reduce :args ((= @t190 @t188))) % 180.93/181.49 (step @p181 :rule cong :premises (@p180) :args (@t191)) % 180.93/181.49 (step @p182 :rule trans :premises (@p181 @p179)) % 180.93/181.49 (step @p183 :rule beta-reduce :args ((= (_ @t137 @t189) @t191))) % 180.93/181.49 (step @p184 :rule trans :premises (@p183 @p182)) % 180.93/181.49 (step @p185 :rule refl :args (@t185)) % 180.93/181.49 (step @p186 :rule refl :args (@t192)) % 180.93/181.49 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t192 @t185))) % 180.93/181.49 (step @p188 :rule symm :premises (@p187)) % 180.93/181.49 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 180.93/181.49 (step @p190 :rule nary_cong :premises (@p79 @p189) :args (@t193)) % 180.93/181.49 (step @p191 :rule cong :premises (@p190) :args ((forall @t77 @t193))) % 180.93/181.49 (step @p192 :rule refl :args (@t194)) % 180.93/181.49 (step @p193 :rule nary_cong :premises (@p84 @p192) :args (@t195)) % 180.93/181.49 (step @p194 :rule cong :premises (@p193) :args (@t196)) % 180.93/181.49 (step @p195 :rule trans :premises (@p194 @p191)) % 180.93/181.49 (step @p196 :rule cong :premises (@p195) :args (@t197)) % 180.93/181.49 (step @p197 :rule beta-reduce :args ((= (_ @t161 @t13) @t197))) % 180.93/181.49 (step @p198 :rule trans :premises (@p197 @p196)) % 180.93/181.49 (step @p199 :rule refl :args (@t13)) % 180.93/181.49 (step @p200 :rule ho_cong :premises (@p97 @p199)) % 180.93/181.49 (step @p201 :rule trans :premises (@p200 @p198)) % 180.93/181.49 (step @p202 :rule ho_cong :premises (@p106 @p201)) % 180.93/181.49 (step @p203 :rule trans :premises (@p202 @p184)) % 180.93/181.49 (step @p204 :rule ho_cong :premises (@p153 @p199)) % 180.93/181.49 (step @p205 :rule ho_cong :premises (@p173 @p204)) % 180.93/181.49 (step @p206 :rule trans :premises (@p205 @p203)) % 180.93/181.49 (step @p207 :rule trans :premises (@p206 @p178)) % 180.93/181.49 (step @p208 :rule eq_resolve :premises (@p6 @p207)) % 180.93/181.49 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t211 @t215))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p210 :rule trust :premises () :args ((= @t233 (forall @t224 (or @t223 (_ @t120 (_ @t119 @t221 @t216) @t71) (not (_ @t120 @t217 @t71)) (not (forall @t220 (or (not (_ @t120 (_ @t122 @t219 @t71) @t218)) (_ @t120 @t217 @t218)))) (not (forall @t213 (or (not (_ @t120 (_ @t122 @t121 @t71) @t198)) (_ @t120 @t217 @t198))))))))) % 180.93/181.49 (step @p211 :rule quant-merge-prenex :args ((= (forall @t69 @t234) @t233))) % 180.93/181.49 (step @p212 :rule beta-reduce :args ((= @t236 @t234))) % 180.93/181.49 (step @p213 :rule cong :premises (@p212) :args (@t237)) % 180.93/181.49 (step @p214 :rule trans :premises (@p213 @p211)) % 180.93/181.49 (step @p215 :rule beta-reduce :args ((= (_ @t137 @t235) @t237))) % 180.93/181.49 (step @p216 :rule trans :premises (@p215 @p214)) % 180.93/181.49 (step @p217 :rule quant-merge-prenex :args ((= (forall @t57 @t239) @t234))) % 180.93/181.49 (step @p218 :rule beta-reduce :args ((= @t243 @t239))) % 180.93/181.49 (step @p219 :rule cong :premises (@p218) :args (@t244)) % 180.93/181.49 (step @p220 :rule trans :premises (@p219 @p217)) % 180.93/181.49 (step @p221 :rule cong :premises (@p220) :args (@t245)) % 180.93/181.49 (step @p222 :rule beta-reduce :args ((= (_ @t147 @t242) @t245))) % 180.93/181.49 (step @p223 :rule trans :premises (@p222 @p221)) % 180.93/181.49 (step @p224 :rule beta-reduce :args ((= (_ (lambda @t69 @t239) @t6) @t241))) % 180.93/181.49 (step @p225 :rule quant-merge-prenex :args ((= (forall @t247 @t246) @t239))) % 180.93/181.49 (step @p226 :rule beta-reduce :args ((= @t257 @t246))) % 180.93/181.49 (step @p227 :rule cong :premises (@p226) :args (@t258)) % 180.93/181.49 (step @p228 :rule trans :premises (@p227 @p225)) % 180.93/181.49 (step @p229 :rule cong :premises (@p228) :args (@t259)) % 180.93/181.49 (step @p230 :rule beta-reduce :args ((= (_ (lambda @t59 (forall @t247 (_ @t54 @t216 @t32))) @t256) @t259))) % 180.93/181.49 (step @p231 :rule trans :premises (@p230 @p229)) % 180.93/181.49 (step @p232 :rule refl :args (@t256)) % 180.93/181.49 (step @p233 :rule alpha_equiv :args (@t146 @t260 (@list @t216))) % 180.93/181.49 (step @p234 :rule cong :premises (@p233) :args (@t147)) % 180.93/181.49 (step @p235 :rule ho_cong :premises (@p234 @p232)) % 180.93/181.49 (step @p236 :rule trans :premises (@p235 @p231)) % 180.93/181.49 (step @p237 :rule beta-reduce :args ((= (_ (lambda @t69 (forall @t77 (or @t231 @t254 @t253 @t251 @t249))) @t6) @t255))) % 180.93/181.49 (step @p238 :rule refl :args (@t249)) % 180.93/181.49 (step @p239 :rule refl :args (@t251)) % 180.93/181.49 (step @p240 :rule refl :args (@t252)) % 180.93/181.49 (step @p241 :rule refl :args (@t261)) % 180.93/181.49 (step @p242 :rule cong :premises (@p241 @p240) :args ((= @t261 @t252))) % 180.93/181.49 (step @p243 :rule symm :premises (@p242)) % 180.93/181.49 (step @p244 :rule eq_resolve :premises (@p241 @p243)) % 180.93/181.49 (step @p245 :rule cong :premises (@p244) :args (@t262)) % 180.93/181.49 (step @p246 :rule refl :args (@t254)) % 180.93/181.49 (step @p247 :rule refl :args (@t263)) % 180.93/181.49 (step @p248 :rule cong :premises (@p247 @p246) :args ((= @t263 @t254))) % 180.93/181.49 (step @p249 :rule symm :premises (@p248)) % 180.93/181.49 (step @p250 :rule eq_resolve :premises (@p247 @p249)) % 180.93/181.49 (step @p251 :rule refl :args (@t231)) % 180.93/181.49 (step @p252 :rule nary_cong :premises (@p251 @p250 @p245 @p239 @p238) :args (@t264)) % 180.93/181.49 (step @p253 :rule cong :premises (@p252) :args ((forall @t77 @t264))) % 180.93/181.49 (step @p254 :rule aci_norm :args ((= (or @t231 @t265) @t264))) % 180.93/181.49 (step @p255 :rule beta-reduce :args ((= (_ (lambda @t154 (or @t267 @t266 (not (forall @t220 (or (not (tptp.a1 @t6 @t218)) @t250))) (not (forall @t213 (or (not (tptp.a2 @t6 @t198)) @t248))))) @t71) @t265))) % 180.93/181.49 (step @p256 :rule refl :args (@t71)) % 180.93/181.49 (step @p257 :rule alpha_equiv :args (@t268 @t269 (@list @t198))) % 180.93/181.49 (step @p258 :rule cong :premises (@p257) :args (@t270)) % 180.93/181.49 (step @p259 :rule alpha_equiv :args (@t271 @t269 (@list @t218))) % 180.93/181.49 (step @p260 :rule cong :premises (@p259) :args (@t272)) % 180.93/181.49 (step @p261 :rule refl :args (@t266)) % 180.93/181.49 (step @p262 :rule refl :args (@t267)) % 180.93/181.49 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p258) :args (@t273)) % 180.93/181.49 (step @p264 :rule cong :premises (@p263) :args (@t274)) % 180.93/181.49 (step @p265 :rule ho_cong :premises (@p264 @p256)) % 180.93/181.49 (step @p266 :rule trans :premises (@p265 @p255)) % 180.93/181.49 (step @p267 :rule refl :args (@t231)) % 180.93/181.49 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t275)) % 180.93/181.49 (step @p269 :rule trans :premises (@p268 @p254)) % 180.93/181.49 (step @p270 :rule cong :premises (@p269) :args (@t276)) % 180.93/181.49 (step @p271 :rule trans :premises (@p270 @p253)) % 180.93/181.49 (step @p272 :rule cong :premises (@p271) :args (@t277)) % 180.93/181.49 (step @p273 :rule beta-reduce :args ((= (_ @t278 @t274) @t277))) % 180.93/181.49 (step @p274 :rule trans :premises (@p273 @p272)) % 180.93/181.49 (step @p275 :rule beta-reduce :args ((= (_ (lambda @t163 @t279) @t20) @t274))) % 180.93/181.49 (step @p276 :rule refl :args (@t20)) % 180.93/181.49 (step @p277 :rule aci_norm :args ((= (or @t280 @t162) @t279))) % 180.93/181.49 (step @p278 :rule refl :args (@t162)) % 180.93/181.49 (step @p279 :rule bool-double-not-elim :args (@t280)) % 180.93/181.49 (step @p280 :rule beta-reduce :args ((= @t283 @t281))) % 180.93/181.49 (step @p281 :rule cong :premises (@p280) :args (@t284)) % 180.93/181.49 (step @p282 :rule trans :premises (@p281 @p279)) % 180.93/181.49 (step @p283 :rule nary_cong :premises (@p282 @p278) :args (@t285)) % 180.93/181.49 (step @p284 :rule trans :premises (@p283 @p277)) % 180.93/181.49 (step @p285 :rule cong :premises (@p284) :args (@t286)) % 180.93/181.49 (step @p286 :rule beta-reduce :args ((= (_ @t167 @t282) @t286))) % 180.93/181.49 (step @p287 :rule trans :premises (@p286 @p285)) % 180.93/181.49 (step @p288 :rule aci_norm :args ((= (or @t266 @t287) @t280))) % 180.93/181.49 (step @p289 :rule bool-double-not-elim :args (@t287)) % 180.93/181.49 (step @p290 :rule beta-reduce :args ((= @t290 @t288))) % 180.93/181.49 (step @p291 :rule cong :premises (@p290) :args (@t291)) % 180.93/181.49 (step @p292 :rule trans :premises (@p291 @p289)) % 180.93/181.49 (step @p293 :rule refl :args (@t266)) % 180.93/181.49 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t292)) % 180.93/181.49 (step @p295 :rule trans :premises (@p294 @p288)) % 180.93/181.49 (step @p296 :rule cong :premises (@p295) :args (@t293)) % 180.93/181.49 (step @p297 :rule cong :premises (@p296) :args (@t294)) % 180.93/181.49 (step @p298 :rule beta-reduce :args ((= (_ @t296 @t289) @t294))) % 180.93/181.49 (step @p299 :rule trans :premises (@p298 @p297)) % 180.93/181.49 (step @p300 :rule beta-reduce :args ((= @t298 @t268))) % 180.93/181.49 (step @p301 :rule cong :premises (@p300) :args (@t299)) % 180.93/181.49 (step @p302 :rule refl :args (@t272)) % 180.93/181.49 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t300)) % 180.93/181.49 (step @p304 :rule cong :premises (@p303) :args (@t301)) % 180.93/181.49 (step @p305 :rule cong :premises (@p304) :args (@t302)) % 180.93/181.49 (step @p306 :rule beta-reduce :args ((= (_ (lambda @t163 (not (or @t272 @t295))) @t297) @t302))) % 180.93/181.49 (step @p307 :rule trans :premises (@p306 @p305)) % 180.93/181.49 (step @p308 :rule nary_cong :premises (@p79 @p244) :args (@t303)) % 180.93/181.49 (step @p309 :rule cong :premises (@p308) :args ((forall @t77 @t303))) % 180.93/181.49 (step @p310 :rule refl :args (@t304)) % 180.93/181.49 (step @p311 :rule nary_cong :premises (@p84 @p310) :args (@t305)) % 180.93/181.49 (step @p312 :rule cong :premises (@p311) :args (@t306)) % 180.93/181.49 (step @p313 :rule trans :premises (@p312 @p309)) % 180.93/181.49 (step @p314 :rule cong :premises (@p313) :args (@t307)) % 180.93/181.49 (step @p315 :rule beta-reduce :args ((= (_ @t161 @t21) @t307))) % 180.93/181.49 (step @p316 :rule trans :premises (@p315 @p314)) % 180.93/181.49 (step @p317 :rule refl :args (@t21)) % 180.93/181.49 (step @p318 :rule ho_cong :premises (@p97 @p317)) % 180.93/181.49 (step @p319 :rule trans :premises (@p318 @p316)) % 180.93/181.49 (step @p320 :rule refl :args (@t295)) % 180.93/181.49 (step @p321 :rule beta-reduce :args ((= @t310 @t271))) % 180.93/181.49 (step @p322 :rule cong :premises (@p321) :args (@t311)) % 180.93/181.49 (step @p323 :rule nary_cong :premises (@p322 @p320) :args (@t312)) % 180.93/181.49 (step @p324 :rule cong :premises (@p323) :args (@t313)) % 180.93/181.49 (step @p325 :rule cong :premises (@p324) :args (@t314)) % 180.93/181.49 (step @p326 :rule beta-reduce :args ((= (_ @t316 @t309) @t314))) % 180.93/181.49 (step @p327 :rule trans :premises (@p326 @p325)) % 180.93/181.49 (step @p328 :rule refl :args (@t308)) % 180.93/181.49 (step @p329 :rule nary_cong :premises (@p328 @p244) :args (@t317)) % 180.93/181.49 (step @p330 :rule cong :premises (@p329) :args ((forall @t77 @t317))) % 180.93/181.49 (step @p331 :rule refl :args (@t308)) % 180.93/181.49 (step @p332 :rule nary_cong :premises (@p331 @p310) :args (@t318)) % 180.93/181.49 (step @p333 :rule cong :premises (@p332) :args (@t319)) % 180.93/181.49 (step @p334 :rule trans :premises (@p333 @p330)) % 180.93/181.49 (step @p335 :rule cong :premises (@p334) :args (@t320)) % 180.93/181.49 (step @p336 :rule beta-reduce :args ((= (_ @t321 @t21) @t320))) % 180.93/181.49 (step @p337 :rule trans :premises (@p336 @p335)) % 180.93/181.49 (step @p338 :rule beta-reduce :args ((= @t322 @t321))) % 180.93/181.49 (step @p339 :rule ho_cong :premises (@p338 @p317)) % 180.93/181.49 (step @p340 :rule trans :premises (@p339 @p337)) % 180.93/181.49 (step @p341 :rule refl :args (@t316)) % 180.93/181.49 (step @p342 :rule ho_cong :premises (@p341 @p340)) % 180.93/181.49 (step @p343 :rule trans :premises (@p342 @p327)) % 180.93/181.49 (step @p344 :rule ho_cong :premises (@p343 @p319)) % 180.93/181.49 (step @p345 :rule trans :premises (@p344 @p307)) % 180.93/181.49 (step @p346 :rule beta-reduce :args ((= @t323 @t296))) % 180.93/181.49 (step @p347 :rule ho_cong :premises (@p346 @p345)) % 180.93/181.49 (step @p348 :rule trans :premises (@p347 @p299)) % 180.93/181.49 (step @p349 :rule refl :args (@t167)) % 180.93/181.49 (step @p350 :rule ho_cong :premises (@p349 @p348)) % 180.93/181.49 (step @p351 :rule trans :premises (@p350 @p287)) % 180.93/181.49 (step @p352 :rule ho_cong :premises (@p351 @p276)) % 180.93/181.49 (step @p353 :rule trans :premises (@p352 @p275)) % 180.93/181.49 (step @p354 :rule beta-reduce :args ((= @t324 @t278))) % 180.93/181.49 (step @p355 :rule ho_cong :premises (@p354 @p353)) % 180.93/181.49 (step @p356 :rule trans :premises (@p355 @p274)) % 180.93/181.49 (step @p357 :rule ho_cong :premises (@p356 @p67)) % 180.93/181.49 (step @p358 :rule trans :premises (@p357 @p237)) % 180.93/181.49 (step @p359 :rule cong :premises (@p358) :args (@t325)) % 180.93/181.49 (step @p360 :rule ho_cong :premises (@p103 @p359)) % 180.93/181.49 (step @p361 :rule trans :premises (@p360 @p236)) % 180.93/181.49 (step @p362 :rule ho_cong :premises (@p361 @p67)) % 180.93/181.49 (step @p363 :rule trans :premises (@p362 @p224)) % 180.93/181.49 (step @p364 :rule cong :premises (@p363) :args ((lambda @t12 (_ (_ @t147 @t325) @t6)))) % 180.93/181.49 (step @p365 :rule ho_cong :premises (@p103 @p364)) % 180.93/181.49 (step @p366 :rule trans :premises (@p365 @p223)) % 180.93/181.49 (step @p367 :rule ho_cong :premises (@p106 @p366)) % 180.93/181.49 (step @p368 :rule trans :premises (@p367 @p216)) % 180.93/181.49 (step @p369 :rule ho_cong :premises (@p153 @p317)) % 180.93/181.49 (step @p370 :rule refl :args (tptp.a1)) % 180.93/181.49 (step @p371 :rule ho_cong :premises (@p152 @p370)) % 180.93/181.49 (step @p372 :rule ho_cong :premises (@p371 @p317)) % 180.93/181.49 (step @p373 :rule beta-reduce :args ((= (_ (lambda @t69 (not @t327)) @t6) @t315))) % 180.93/181.49 (step @p374 :rule beta-reduce :args ((= @t329 @t327))) % 180.93/181.49 (step @p375 :rule cong :premises (@p374) :args (@t330)) % 180.93/181.49 (step @p376 :rule cong :premises (@p375) :args (@t331)) % 180.93/181.49 (step @p377 :rule beta-reduce :args ((= (_ @t41 @t328) @t331))) % 180.93/181.49 (step @p378 :rule trans :premises (@p377 @p376)) % 180.93/181.49 (step @p379 :rule beta-reduce :args ((= @t333 @t326))) % 180.93/181.49 (step @p380 :rule refl :args (@t39)) % 180.93/181.49 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t334)) % 180.93/181.49 (step @p382 :rule cong :premises (@p381) :args (@t335)) % 180.93/181.49 (step @p383 :rule beta-reduce :args ((= (_ @t177 @t332) @t335))) % 180.93/181.49 (step @p384 :rule trans :premises (@p383 @p382)) % 180.93/181.49 (step @p385 :rule beta-reduce :args ((= (_ @t41 @t42) @t332))) % 180.93/181.49 (step @p386 :rule ho_cong :premises (@p122 @p385)) % 180.93/181.49 (step @p387 :rule trans :premises (@p386 @p384)) % 180.93/181.49 (step @p388 :rule refl :args (@t41)) % 180.93/181.49 (step @p389 :rule ho_cong :premises (@p388 @p387)) % 180.93/181.49 (step @p390 :rule trans :premises (@p389 @p378)) % 180.93/181.49 (step @p391 :rule ho_cong :premises (@p390 @p67)) % 180.93/181.49 (step @p392 :rule trans :premises (@p391 @p373)) % 180.93/181.49 (step @p393 :rule ho_cong :premises (@p24 @p112)) % 180.93/181.49 (step @p394 :rule ho_cong :premises (@p129 @p393)) % 180.93/181.49 (step @p395 :rule ho_cong :premises (@p24 @p394)) % 180.93/181.49 (step @p396 :rule ho_cong :premises (@p395 @p67)) % 180.93/181.49 (step @p397 :rule trans :premises (@p396 @p392)) % 180.93/181.49 (step @p398 :rule cong :premises (@p397) :args (@t49)) % 180.93/181.49 (step @p399 :rule trans :premises (@p26 @p398)) % 180.93/181.49 (step @p400 :rule ho_cong :premises (@p399 @p372)) % 180.93/181.49 (step @p401 :rule ho_cong :premises (@p400 @p369)) % 180.93/181.49 (step @p402 :rule ho_cong :premises (@p399 @p317)) % 180.93/181.49 (step @p403 :rule ho_cong :premises (@p402 @p401)) % 180.93/181.49 (step @p404 :rule ho_cong :premises (@p134 @p403)) % 180.93/181.49 (step @p405 :rule ho_cong :premises (@p404 @p276)) % 180.93/181.49 (step @p406 :rule refl :args (tptp.a3)) % 180.93/181.49 (step @p407 :rule ho_cong :premises (@p152 @p406)) % 180.93/181.49 (step @p408 :rule ho_cong :premises (@p407 @p405)) % 180.93/181.49 (step @p409 :rule ho_cong :premises (@p408 @p67)) % 180.93/181.49 (step @p410 :rule cong :premises (@p409) :args (@t23)) % 180.93/181.49 (step @p411 :rule ho_cong :premises (@p164 @p410)) % 180.93/181.49 (step @p412 :rule ho_cong :premises (@p411 @p67)) % 180.93/181.49 (step @p413 :rule cong :premises (@p412) :args (@t24)) % 180.93/181.49 (step @p414 :rule ho_cong :premises (@p164 @p413)) % 180.93/181.49 (step @p415 :rule ho_cong :premises (@p173 @p414)) % 180.93/181.49 (step @p416 :rule trans :premises (@p415 @p368)) % 180.93/181.49 (step @p417 :rule trans :premises (@p416 @p210)) % 180.93/181.49 (step @p418 :rule eq_resolve :premises (@p14 @p417)) % 180.93/181.49 (step @p419 :rule instantiate :premises (@p418) :args ((@list @t206 tptp.jan tptp.cola @t211))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p420 :rule trust :premises () :args ((= @t339 (forall @t184 (or (not (_ @t120 (_ @t122 @t219 @t32) @t71)) @t336))))) % 180.93/181.49 (step @p421 :rule quant-merge-prenex :args ((= (forall @t69 @t340) @t339))) % 180.93/181.49 (step @p422 :rule beta-reduce :args ((= @t342 @t340))) % 180.93/181.49 (step @p423 :rule cong :premises (@p422) :args (@t343)) % 180.93/181.49 (step @p424 :rule trans :premises (@p423 @p421)) % 180.93/181.49 (step @p425 :rule beta-reduce :args ((= (_ @t137 @t341) @t343))) % 180.93/181.49 (step @p426 :rule trans :premises (@p425 @p424)) % 180.93/181.49 (step @p427 :rule refl :args (@t337)) % 180.93/181.49 (step @p428 :rule refl :args (@t344)) % 180.93/181.49 (step @p429 :rule cong :premises (@p428 @p427) :args ((= @t344 @t337))) % 180.93/181.49 (step @p430 :rule symm :premises (@p429)) % 180.93/181.49 (step @p431 :rule eq_resolve :premises (@p428 @p430)) % 180.93/181.49 (step @p432 :rule nary_cong :premises (@p328 @p431) :args (@t345)) % 180.93/181.49 (step @p433 :rule cong :premises (@p432) :args ((forall @t77 @t345))) % 180.93/181.49 (step @p434 :rule refl :args (@t346)) % 180.93/181.49 (step @p435 :rule nary_cong :premises (@p331 @p434) :args (@t347)) % 180.93/181.49 (step @p436 :rule cong :premises (@p435) :args (@t348)) % 180.93/181.49 (step @p437 :rule trans :premises (@p436 @p433)) % 180.93/181.49 (step @p438 :rule cong :premises (@p437) :args (@t349)) % 180.93/181.49 (step @p439 :rule beta-reduce :args ((= (_ @t321 @t2) @t349))) % 180.93/181.49 (step @p440 :rule trans :premises (@p439 @p438)) % 180.93/181.49 (step @p441 :rule refl :args (@t2)) % 180.93/181.49 (step @p442 :rule ho_cong :premises (@p338 @p441)) % 180.93/181.49 (step @p443 :rule trans :premises (@p442 @p440)) % 180.93/181.49 (step @p444 :rule ho_cong :premises (@p106 @p443)) % 180.93/181.49 (step @p445 :rule trans :premises (@p444 @p426)) % 180.93/181.49 (step @p446 :rule ho_cong :premises (@p371 @p441)) % 180.93/181.49 (step @p447 :rule ho_cong :premises (@p173 @p446)) % 180.93/181.49 (step @p448 :rule trans :premises (@p447 @p445)) % 180.93/181.49 (step @p449 :rule trans :premises (@p448 @p420)) % 180.93/181.49 (step @p450 :rule eq_resolve :premises (@p2 @p449)) % 180.93/181.49 (step @p451 :rule instantiate :premises (@p450) :args ((@list @t211 @t352))) % 180.93/181.49 (step @p452 :rule refl :args (@t354)) % 180.93/181.49 (step @p453 :rule bool-double-not-elim :args (@t351)) % 180.93/181.49 (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or (not @t355) @t354))) % 180.93/181.49 (assume-push @p841 @t355) % 180.93/181.49 (step @p456 :rule skolemize :premises (@p841)) % 180.93/181.49 (step-pop @p842 :rule scope :premises (@p456)) % 180.93/181.49 (step @p457 :rule process_scope :premises (@p842) :args (@t354)) % 180.93/181.49 (step @p459 :rule implies_elim :premises (@p457)) % 180.93/181.49 (step @p460 :rule eq_resolve :premises (@p459 @p454)) % 180.93/181.49 (step @p461 :rule chain_m_resolution :premises (@p460 @p451) :args (@t351 (@list false) (@list @t353))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p462 :rule trust :premises () :args ((= @t357 (forall @t184 (or @t223 @t336))))) % 180.93/181.49 (step @p463 :rule quant-merge-prenex :args ((= (forall @t69 @t358) @t357))) % 180.93/181.49 (step @p464 :rule beta-reduce :args ((= @t360 @t358))) % 180.93/181.49 (step @p465 :rule cong :premises (@p464) :args (@t361)) % 180.93/181.49 (step @p466 :rule trans :premises (@p465 @p463)) % 180.93/181.49 (step @p467 :rule beta-reduce :args ((= (_ @t137 @t359) @t361))) % 180.93/181.49 (step @p468 :rule trans :premises (@p467 @p466)) % 180.93/181.49 (step @p469 :rule nary_cong :premises (@p251 @p431) :args (@t362)) % 180.93/181.49 (step @p470 :rule cong :premises (@p469) :args ((forall @t77 @t362))) % 180.93/181.49 (step @p471 :rule nary_cong :premises (@p267 @p434) :args (@t363)) % 180.93/181.49 (step @p472 :rule cong :premises (@p471) :args (@t364)) % 180.93/181.49 (step @p473 :rule trans :premises (@p472 @p470)) % 180.93/181.49 (step @p474 :rule cong :premises (@p473) :args (@t365)) % 180.93/181.49 (step @p475 :rule beta-reduce :args ((= (_ @t278 @t2) @t365))) % 180.93/181.49 (step @p476 :rule trans :premises (@p475 @p474)) % 180.93/181.49 (step @p477 :rule ho_cong :premises (@p354 @p441)) % 180.93/181.49 (step @p478 :rule trans :premises (@p477 @p476)) % 180.93/181.49 (step @p479 :rule ho_cong :premises (@p106 @p478)) % 180.93/181.49 (step @p480 :rule trans :premises (@p479 @p468)) % 180.93/181.49 (step @p481 :rule ho_cong :premises (@p407 @p441)) % 180.93/181.49 (step @p482 :rule ho_cong :premises (@p173 @p481)) % 180.93/181.49 (step @p483 :rule trans :premises (@p482 @p480)) % 180.93/181.49 (step @p484 :rule trans :premises (@p483 @p462)) % 180.93/181.49 (step @p485 :rule eq_resolve :premises (@p11 @p484)) % 180.93/181.49 (step @p486 :rule instantiate :premises (@p485) :args ((@list @t206 @t211))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p487 :rule trust :premises () :args ((= @t373 (forall @t368 (or (_ @t120 (_ @t119 @t118 @t367) @t32) (not (_ @t120 @t222 @t366)) (not (_ @t120 (_ @t119 @t221 @t367) @t366))))))) % 180.93/181.49 (step @p488 :rule quant-merge-prenex :args ((= (forall @t69 @t374) @t373))) % 180.93/181.49 (step @p489 :rule beta-reduce :args ((= @t376 @t374))) % 180.93/181.49 (step @p490 :rule cong :premises (@p489) :args (@t377)) % 180.93/181.49 (step @p491 :rule trans :premises (@p490 @p488)) % 180.93/181.49 (step @p492 :rule beta-reduce :args ((= (_ @t137 @t375) @t377))) % 180.93/181.49 (step @p493 :rule trans :premises (@p492 @p491)) % 180.93/181.49 (step @p494 :rule quant-merge-prenex :args ((= (forall @t57 @t379) @t374))) % 180.93/181.49 (step @p495 :rule beta-reduce :args ((= @t382 @t379))) % 180.93/181.49 (step @p496 :rule cong :premises (@p495) :args (@t383)) % 180.93/181.49 (step @p497 :rule trans :premises (@p496 @p494)) % 180.93/181.49 (step @p498 :rule cong :premises (@p497) :args (@t384)) % 180.93/181.49 (step @p499 :rule beta-reduce :args ((= (_ @t147 @t381) @t384))) % 180.93/181.49 (step @p500 :rule trans :premises (@p499 @p498)) % 180.93/181.49 (step @p501 :rule beta-reduce :args ((= (_ (lambda @t69 @t379) @t6) @t380))) % 180.93/181.49 (step @p502 :rule aci_norm :args ((= @t386 @t372))) % 180.93/181.49 (step @p503 :rule cong :premises (@p502) :args (@t387)) % 180.93/181.49 (step @p504 :rule quant-merge-prenex :args ((= (forall @t390 @t389) @t387))) % 180.93/181.49 (step @p505 :rule refl :args (@t371)) % 180.93/181.49 (step @p506 :rule alpha_equiv :args (@t391 (@list @t366) @t269)) % 180.93/181.49 (step @p507 :rule nary_cong :premises (@p506 @p505) :args (@t392)) % 180.93/181.49 (step @p508 :rule quant-miniscope-or :args ((= @t389 @t392))) % 180.93/181.49 (step @p509 :rule trans :premises (@p508 @p507)) % 180.93/181.49 (step @p510 :rule symm :premises (@p509)) % 180.93/181.49 (step @p511 :rule cong :premises (@p510) :args ((forall @t390 (or @t393 @t371)))) % 180.93/181.49 (step @p512 :rule trans :premises (@p511 @p504)) % 180.93/181.49 (step @p513 :rule trans :premises (@p512 @p503)) % 180.93/181.49 (step @p514 :rule refl :args (@t371)) % 180.93/181.49 (step @p515 :rule refl :args (@t394)) % 180.93/181.49 (step @p516 :rule cong :premises (@p515 @p514) :args ((= @t394 @t371))) % 180.93/181.49 (step @p517 :rule symm :premises (@p516)) % 180.93/181.49 (step @p518 :rule eq_resolve :premises (@p515 @p517)) % 180.93/181.49 (step @p519 :rule refl :args (@t393)) % 180.93/181.49 (step @p520 :rule nary_cong :premises (@p519 @p518) :args (@t395)) % 180.93/181.49 (step @p521 :rule cong :premises (@p520) :args ((forall @t390 @t395))) % 180.93/181.49 (step @p522 :rule trans :premises (@p521 @p513)) % 180.93/181.49 (step @p523 :rule beta-reduce :args ((= @t399 @t395))) % 180.93/181.49 (step @p524 :rule cong :premises (@p523) :args (@t400)) % 180.93/181.49 (step @p525 :rule trans :premises (@p524 @p522)) % 180.93/181.49 (step @p526 :rule cong :premises (@p525) :args (@t401)) % 180.93/181.49 (step @p527 :rule beta-reduce :args ((= (_ (lambda @t59 (forall @t390 (_ @t54 @t367 @t32))) @t398) @t401))) % 180.93/181.49 (step @p528 :rule trans :premises (@p527 @p526)) % 180.93/181.49 (step @p529 :rule refl :args (@t398)) % 180.93/181.49 (step @p530 :rule alpha_equiv :args (@t146 @t260 (@list @t367))) % 180.93/181.49 (step @p531 :rule cong :premises (@p530) :args (@t147)) % 180.93/181.49 (step @p532 :rule ho_cong :premises (@p531 @p529)) % 180.93/181.49 (step @p533 :rule trans :premises (@p532 @p528)) % 180.93/181.49 (step @p534 :rule beta-reduce :args ((= (_ @t402 @t6) @t397))) % 180.93/181.49 (step @p535 :rule beta-reduce :args ((= (_ (lambda @t163 (or @t396 @t162)) @t21) @t402))) % 180.93/181.49 (step @p536 :rule bool-double-not-elim :args (@t396)) % 180.93/181.49 (step @p537 :rule beta-reduce :args ((= @t405 @t403))) % 180.93/181.49 (step @p538 :rule cong :premises (@p537) :args (@t406)) % 180.93/181.49 (step @p539 :rule trans :premises (@p538 @p536)) % 180.93/181.49 (step @p540 :rule nary_cong :premises (@p539 @p278) :args (@t407)) % 180.93/181.49 (step @p541 :rule cong :premises (@p540) :args (@t408)) % 180.93/181.49 (step @p542 :rule beta-reduce :args ((= (_ @t167 @t404) @t408))) % 180.93/181.49 (step @p543 :rule trans :premises (@p542 @p541)) % 180.93/181.49 (step @p544 :rule cong :premises (@p250) :args (@t409)) % 180.93/181.49 (step @p545 :rule refl :args (@t240)) % 180.93/181.49 (step @p546 :rule nary_cong :premises (@p545 @p544) :args (@t410)) % 180.93/181.49 (step @p547 :rule cong :premises (@p546) :args ((forall @t77 @t410))) % 180.93/181.49 (step @p548 :rule refl :args (@t411)) % 180.93/181.49 (step @p549 :rule cong :premises (@p548) :args (@t412)) % 180.93/181.49 (step @p550 :rule refl :args (@t240)) % 180.93/181.49 (step @p551 :rule nary_cong :premises (@p550 @p549) :args (@t413)) % 180.93/181.49 (step @p552 :rule cong :premises (@p551) :args (@t414)) % 180.93/181.49 (step @p553 :rule trans :premises (@p552 @p547)) % 180.93/181.49 (step @p554 :rule cong :premises (@p553) :args (@t415)) % 180.93/181.49 (step @p555 :rule cong :premises (@p554) :args (@t416)) % 180.93/181.49 (step @p556 :rule beta-reduce :args ((= (_ @t418 @t20) @t416))) % 180.93/181.49 (step @p557 :rule trans :premises (@p556 @p555)) % 180.93/181.49 (step @p558 :rule beta-reduce :args ((= @t420 @t418))) % 180.93/181.49 (step @p559 :rule ho_cong :premises (@p558 @p276)) % 180.93/181.49 (step @p560 :rule trans :premises (@p559 @p557)) % 180.93/181.49 (step @p561 :rule ho_cong :premises (@p349 @p560)) % 180.93/181.49 (step @p562 :rule trans :premises (@p561 @p543)) % 180.93/181.49 (step @p563 :rule ho_cong :premises (@p562 @p317)) % 180.93/181.49 (step @p564 :rule trans :premises (@p563 @p535)) % 180.93/181.49 (step @p565 :rule ho_cong :premises (@p564 @p67)) % 180.93/181.49 (step @p566 :rule trans :premises (@p565 @p534)) % 180.93/181.49 (step @p567 :rule cong :premises (@p566) :args (@t421)) % 180.93/181.49 (step @p568 :rule ho_cong :premises (@p103 @p567)) % 180.93/181.49 (step @p569 :rule trans :premises (@p568 @p533)) % 180.93/181.49 (step @p570 :rule ho_cong :premises (@p569 @p67)) % 180.93/181.49 (step @p571 :rule trans :premises (@p570 @p501)) % 180.93/181.49 (step @p572 :rule cong :premises (@p571) :args ((lambda @t12 (_ (_ @t147 @t421) @t6)))) % 180.93/181.49 (step @p573 :rule ho_cong :premises (@p103 @p572)) % 180.93/181.49 (step @p574 :rule trans :premises (@p573 @p500)) % 180.93/181.49 (step @p575 :rule ho_cong :premises (@p106 @p574)) % 180.93/181.49 (step @p576 :rule trans :premises (@p575 @p493)) % 180.93/181.49 (step @p577 :rule beta-reduce :args ((= (_ (lambda @t69 (not @t422)) @t6) @t419))) % 180.93/181.49 (step @p578 :rule beta-reduce :args ((= @t424 @t422))) % 180.93/181.49 (step @p579 :rule cong :premises (@p578) :args (@t425)) % 180.93/181.49 (step @p580 :rule cong :premises (@p579) :args (@t426)) % 180.93/181.49 (step @p581 :rule beta-reduce :args ((= (_ @t41 @t423) @t426))) % 180.93/181.49 (step @p582 :rule trans :premises (@p581 @p580)) % 180.93/181.49 (step @p583 :rule cong :premises (@p142) :args (@t427)) % 180.93/181.49 (step @p584 :rule refl :args (@t170)) % 180.93/181.49 (step @p585 :rule nary_cong :premises (@p584 @p583) :args (@t428)) % 180.93/181.49 (step @p586 :rule cong :premises (@p585) :args ((forall @t77 @t428))) % 180.93/181.49 (step @p587 :rule beta-reduce :args ((= @t429 @t427))) % 180.93/181.49 (step @p588 :rule refl :args (@t170)) % 180.93/181.49 (step @p589 :rule nary_cong :premises (@p588 @p587) :args (@t430)) % 180.93/181.49 (step @p590 :rule cong :premises (@p589) :args (@t431)) % 180.93/181.49 (step @p591 :rule trans :premises (@p590 @p586)) % 180.93/181.49 (step @p592 :rule cong :premises (@p591) :args (@t432)) % 180.93/181.49 (step @p593 :rule beta-reduce :args ((= (_ @t433 @t178) @t432))) % 180.93/181.49 (step @p594 :rule trans :premises (@p593 @p592)) % 180.93/181.49 (step @p595 :rule beta-reduce :args ((= (_ @t172 @t73) @t433))) % 180.93/181.49 (step @p596 :rule ho_cong :premises (@p595 @p119)) % 180.93/181.49 (step @p597 :rule trans :premises (@p596 @p594)) % 180.93/181.49 (step @p598 :rule ho_cong :premises (@p388 @p597)) % 180.93/181.49 (step @p599 :rule trans :premises (@p598 @p582)) % 180.93/181.49 (step @p600 :rule ho_cong :premises (@p599 @p67)) % 180.93/181.49 (step @p601 :rule trans :premises (@p600 @p577)) % 180.93/181.49 (step @p602 :rule refl :args (@t73)) % 180.93/181.49 (step @p603 :rule ho_cong :premises (@p152 @p602)) % 180.93/181.49 (step @p604 :rule ho_cong :premises (@p603 @p128)) % 180.93/181.49 (step @p605 :rule ho_cong :premises (@p24 @p604)) % 180.93/181.49 (step @p606 :rule ho_cong :premises (@p605 @p67)) % 180.93/181.49 (step @p607 :rule trans :premises (@p606 @p601)) % 180.93/181.49 (step @p608 :rule cong :premises (@p607) :args (@t82)) % 180.93/181.49 (step @p609 :rule trans :premises (@p37 @p608)) % 180.93/181.49 (step @p610 :rule ho_cong :premises (@p609 @p406)) % 180.93/181.49 (step @p611 :rule ho_cong :premises (@p610 @p276)) % 180.93/181.49 (step @p612 :rule ho_cong :premises (@p134 @p611)) % 180.93/181.49 (step @p613 :rule ho_cong :premises (@p612 @p317)) % 180.93/181.49 (step @p614 :rule ho_cong :premises (@p613 @p67)) % 180.93/181.49 (step @p615 :rule cong :premises (@p614) :args (@t25)) % 180.93/181.49 (step @p616 :rule ho_cong :premises (@p164 @p615)) % 180.93/181.49 (step @p617 :rule ho_cong :premises (@p616 @p67)) % 180.93/181.49 (step @p618 :rule cong :premises (@p617) :args (@t26)) % 180.93/181.49 (step @p619 :rule ho_cong :premises (@p164 @p618)) % 180.93/181.49 (step @p620 :rule ho_cong :premises (@p173 @p619)) % 180.93/181.49 (step @p621 :rule trans :premises (@p620 @p576)) % 180.93/181.49 (step @p622 :rule trans :premises (@p621 @p487)) % 180.93/181.49 (step @p623 :rule eq_resolve :premises (@p16 @p622)) % 180.93/181.49 (step @p624 :rule instantiate :premises (@p623) :args ((@list @t206 tptp.jan tptp.cola @t436))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p625 :rule trust :premises () :args ((= (forall @t69 @t439) (forall @t69 (not (forall @t77 (or @t223 @t435))))))) % 180.93/181.49 (step @p626 :rule beta-reduce :args ((= @t441 @t439))) % 180.93/181.49 (step @p627 :rule cong :premises (@p626) :args (@t442)) % 180.93/181.49 (step @p628 :rule beta-reduce :args ((= (_ @t137 @t440) @t442))) % 180.93/181.49 (step @p629 :rule trans :premises (@p628 @p627)) % 180.93/181.49 (step @p630 :rule refl :args (@t437)) % 180.93/181.49 (step @p631 :rule refl :args (@t443)) % 180.93/181.49 (step @p632 :rule cong :premises (@p631 @p630) :args ((= @t443 @t437))) % 180.93/181.49 (step @p633 :rule symm :premises (@p632)) % 180.93/181.49 (step @p634 :rule eq_resolve :premises (@p631 @p633)) % 180.93/181.49 (step @p635 :rule cong :premises (@p634) :args (@t444)) % 180.93/181.49 (step @p636 :rule nary_cong :premises (@p545 @p635) :args (@t445)) % 180.93/181.49 (step @p637 :rule cong :premises (@p636) :args ((forall @t77 @t445))) % 180.93/181.49 (step @p638 :rule refl :args (@t446)) % 180.93/181.49 (step @p639 :rule cong :premises (@p638) :args (@t447)) % 180.93/181.49 (step @p640 :rule nary_cong :premises (@p550 @p639) :args (@t448)) % 180.93/181.49 (step @p641 :rule cong :premises (@p640) :args (@t449)) % 180.93/181.49 (step @p642 :rule trans :premises (@p641 @p637)) % 180.93/181.49 (step @p643 :rule cong :premises (@p642) :args (@t450)) % 180.93/181.49 (step @p644 :rule cong :premises (@p643) :args (@t451)) % 180.93/181.49 (step @p645 :rule beta-reduce :args ((= (_ @t418 @t5) @t451))) % 180.93/181.49 (step @p646 :rule trans :premises (@p645 @p644)) % 180.93/181.49 (step @p647 :rule refl :args (@t5)) % 180.93/181.49 (step @p648 :rule ho_cong :premises (@p558 @p647)) % 180.93/181.49 (step @p649 :rule trans :premises (@p648 @p646)) % 180.93/181.49 (step @p650 :rule ho_cong :premises (@p106 @p649)) % 180.93/181.49 (step @p651 :rule trans :premises (@p650 @p629)) % 180.93/181.49 (step @p652 :rule ho_cong :premises (@p610 @p647)) % 180.93/181.49 (step @p653 :rule ho_cong :premises (@p173 @p652)) % 180.93/181.49 (step @p654 :rule trans :premises (@p653 @p651)) % 180.93/181.49 (step @p655 :rule trans :premises (@p654 @p625)) % 180.93/181.49 (step @p656 :rule eq_resolve :premises (@p12 @p655)) % 180.93/181.49 (step @p657 :rule instantiate :premises (@p656) :args ((@list @t206))) % 180.93/181.49 (step @p658 :rule skolemize :premises (@p657)) % 180.93/181.49 (step @p659 :rule bool-double-not-elim :args (@t452)) % 180.93/181.49 (step @p660 :rule refl :args (@t454)) % 180.93/181.49 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or @t454 (not @t453)))) % 180.93/181.49 (step @p662 :rule cnf_or_neg :args (@t454 0)) % 180.93/181.49 (step @p663 :rule eq_resolve :premises (@p662 @p661)) % 180.93/181.49 (step @p664 :rule reordering :premises (@p663) :args ((or @t452 @t454))) % 180.93/181.49 (step @p665 :rule chain_m_resolution :premises (@p664 @p658) :args (@t452 @t455 (@list @t454))) % 180.93/181.49 ; trust TRUST PREPROCESS_HO_ELIM % 180.93/181.49 (step @p666 :rule trust :premises () :args ((= (not (forall @t69 @t457)) @t456))) % 180.93/181.49 (step @p667 :rule beta-reduce :args ((= @t462 @t457))) % 180.93/181.49 (step @p668 :rule cong :premises (@p667) :args (@t463)) % 180.93/181.49 (step @p669 :rule beta-reduce :args ((= (_ @t137 @t461) @t463))) % 180.93/181.49 (step @p670 :rule trans :premises (@p669 @p668)) % 180.93/181.49 (step @p671 :rule quant-merge-prenex :args ((= (forall @t57 @t465) @t460))) % 180.93/181.49 (step @p672 :rule bool-double-not-elim :args (@t465)) % 180.93/181.49 (step @p673 :rule beta-reduce :args ((= @t468 @t466))) % 180.93/181.49 (step @p674 :rule cong :premises (@p673) :args (@t469)) % 180.93/181.49 (step @p675 :rule trans :premises (@p674 @p672)) % 180.93/181.49 (step @p676 :rule cong :premises (@p675) :args (@t470)) % 180.93/181.49 (step @p677 :rule trans :premises (@p676 @p671)) % 180.93/181.49 (step @p678 :rule cong :premises (@p677) :args (@t471)) % 180.93/181.49 (step @p679 :rule cong :premises (@p678) :args (@t472)) % 180.93/181.49 (step @p680 :rule beta-reduce :args ((= (_ @t475 @t467) @t472))) % 180.93/181.49 (step @p681 :rule trans :premises (@p680 @p679)) % 180.93/181.49 (step @p682 :rule beta-reduce :args ((= (_ (lambda @t154 @t466) @t6) @t466))) % 180.93/181.49 (step @p683 :rule refl :args (@t458)) % 180.93/181.49 (step @p684 :rule refl :args (@t476)) % 180.93/181.49 (step @p685 :rule cong :premises (@p684 @p683) :args ((= @t476 @t458))) % 180.93/181.49 (step @p686 :rule symm :premises (@p685)) % 180.93/181.49 (step @p687 :rule eq_resolve :premises (@p684 @p686)) % 180.93/181.49 (step @p688 :rule cong :premises (@p687) :args (@t477)) % 180.93/181.49 (step @p689 :rule cong :premises (@p688) :args ((forall @t464 @t477))) % 180.93/181.49 (step @p690 :rule beta-reduce :args ((= @t478 @t476))) % 180.93/181.49 (step @p691 :rule cong :premises (@p690) :args (@t479)) % 180.93/181.49 (step @p692 :rule cong :premises (@p691) :args (@t480)) % 180.93/181.49 (step @p693 :rule trans :premises (@p692 @p689)) % 180.93/181.49 (step @p694 :rule cong :premises (@p693) :args (@t481)) % 180.93/181.49 (step @p695 :rule cong :premises (@p694) :args (@t482)) % 180.93/181.49 (step @p696 :rule beta-reduce :args ((= (_ (lambda @t66 (not (forall @t464 (not (_ @t54 @t202 @t6))))) @t29) @t482))) % 180.93/181.49 (step @p697 :rule trans :premises (@p696 @p695)) % 180.93/181.49 (step @p698 :rule refl :args (@t29)) % 180.93/181.49 (step @p699 :rule alpha_equiv :args (@t473 @t260 (@list @t202))) % 180.93/181.49 (step @p700 :rule cong :premises (@p699) :args (@t474)) % 180.93/181.49 (step @p701 :rule cong :premises (@p700) :args (@t475)) % 180.93/181.49 (step @p702 :rule ho_cong :premises (@p701 @p698)) % 180.93/181.49 (step @p703 :rule trans :premises (@p702 @p697)) % 180.93/181.49 (step @p704 :rule ho_cong :premises (@p703 @p67)) % 180.93/181.49 (step @p705 :rule trans :premises (@p704 @p682)) % 180.93/181.49 (step @p706 :rule cong :premises (@p705) :args (@t483)) % 180.93/181.49 (step @p707 :rule refl :args (@t475)) % 180.93/181.49 (step @p708 :rule ho_cong :premises (@p707 @p706)) % 180.93/181.49 (step @p709 :rule trans :premises (@p708 @p681)) % 180.93/181.49 (step @p710 :rule ho_cong :premises (@p106 @p709)) % 180.93/181.49 (step @p711 :rule trans :premises (@p710 @p670)) % 180.93/181.49 (step @p712 :rule cong :premises (@p711) :args ((not (_ @t137 (_ @t475 @t483))))) % 180.93/181.49 (step @p713 :rule refl :args (@t29)) % 180.93/181.49 (step @p714 :rule beta-reduce :args ((= (_ (lambda @t69 (not @t484)) @t6) @t474))) % 180.93/181.49 (step @p715 :rule beta-reduce :args ((= @t486 @t484))) % 180.93/181.49 (step @p716 :rule cong :premises (@p715) :args (@t487)) % 180.93/181.49 (step @p717 :rule cong :premises (@p716) :args (@t488)) % 180.93/181.49 (step @p718 :rule beta-reduce :args ((= (_ @t41 @t485) @t488))) % 180.93/181.49 (step @p719 :rule trans :premises (@p718 @p717)) % 180.93/181.49 (step @p720 :rule cong :premises (@p161) :args (@t489)) % 180.93/181.49 (step @p721 :rule cong :premises (@p720) :args ((forall @t57 @t489))) % 180.93/181.49 (step @p722 :rule beta-reduce :args ((= @t492 @t489))) % 180.93/181.49 (step @p723 :rule cong :premises (@p722) :args (@t493)) % 180.93/181.49 (step @p724 :rule trans :premises (@p723 @p721)) % 180.93/181.49 (step @p725 :rule cong :premises (@p724) :args (@t494)) % 180.93/181.49 (step @p726 :rule beta-reduce :args ((= (_ @t147 @t491) @t494))) % 180.93/181.49 (step @p727 :rule trans :premises (@p726 @p725)) % 180.93/181.49 (step @p728 :rule beta-reduce :args ((= (_ @t495 @t6) @t490))) % 180.93/181.49 (step @p729 :rule beta-reduce :args ((= @t496 @t495))) % 180.93/181.49 (step @p730 :rule ho_cong :premises (@p729 @p67)) % 180.93/181.49 (step @p731 :rule trans :premises (@p730 @p728)) % 180.93/181.49 (step @p732 :rule cong :premises (@p731) :args ((lambda @t12 (_ @t496 @t6)))) % 180.93/181.49 (step @p733 :rule ho_cong :premises (@p103 @p732)) % 180.93/181.49 (step @p734 :rule trans :premises (@p733 @p727)) % 180.93/181.49 (step @p735 :rule ho_cong :premises (@p388 @p734)) % 180.93/181.49 (step @p736 :rule trans :premises (@p735 @p719)) % 180.93/181.49 (step @p737 :rule ho_cong :premises (@p736 @p67)) % 180.93/181.49 (step @p738 :rule trans :premises (@p737 @p714)) % 180.93/181.49 (step @p739 :rule refl :args (@t55)) % 180.93/181.49 (step @p740 :rule ho_cong :premises (@p24 @p739)) % 180.93/181.49 (step @p741 :rule ho_cong :premises (@p740 @p67)) % 180.93/181.49 (step @p742 :rule cong :premises (@p741) :args (@t65)) % 180.93/181.49 (step @p743 :rule ho_cong :premises (@p164 @p742)) % 180.93/181.49 (step @p744 :rule ho_cong :premises (@p24 @p743)) % 180.93/181.49 (step @p745 :rule ho_cong :premises (@p744 @p67)) % 180.93/181.49 (step @p746 :rule trans :premises (@p745 @p738)) % 180.93/181.49 (step @p747 :rule cong :premises (@p746) :args (@t67)) % 180.93/181.49 (step @p748 :rule trans :premises (@p33 @p747)) % 180.93/181.49 (step @p749 :rule ho_cong :premises (@p748 @p713)) % 180.93/181.49 (step @p750 :rule ho_cong :premises (@p749 @p67)) % 180.93/181.49 (step @p751 :rule cong :premises (@p750) :args (@t30)) % 180.93/181.49 (step @p752 :rule ho_cong :premises (@p748 @p751)) % 180.93/181.49 (step @p753 :rule ho_cong :premises (@p173 @p752)) % 180.93/181.49 (step @p754 :rule cong :premises (@p753) :args (@t31)) % 180.93/181.49 (step @p755 :rule trans :premises (@p754 @p712)) % 180.93/181.49 (step @p756 :rule trans :premises (@p755 @p666)) % 180.93/181.49 (step @p757 :rule eq_resolve :premises (@p20 @p756)) % 180.93/181.49 (step @p758 :rule refl :args (@t497)) % 180.93/181.49 (step @p759 :rule bool-double-not-elim :args (@t205)) % 180.93/181.49 (step @p760 :rule nary_cong :premises (@p759 @p758) :args ((or (not @t456) @t497))) % 180.93/181.49 (step @p761 :rule bool-double-not-elim :args (@t497)) % 180.93/181.49 (step @p762 :rule refl :args (@t456)) % 180.93/181.49 (step @p763 :rule cong :premises (@p762 @p761) :args ((=> @t456 @t498))) % 180.93/181.49 (assume-push @p843 @t456) % 180.93/181.49 (step @p765 :rule skolemize :premises (@p757)) % 180.93/181.49 (step-pop @p844 :rule scope :premises (@p765)) % 180.93/181.49 (step @p766 :rule process_scope :premises (@p844) :args (@t498)) % 180.93/181.49 (step @p768 :rule eq_resolve :premises (@p766 @p763)) % 180.93/181.49 (step @p769 :rule implies_elim :premises (@p768)) % 180.93/181.49 (step @p770 :rule eq_resolve :premises (@p769 @p760)) % 180.93/181.49 (step @p771 :rule chain_m_resolution :premises (@p770 @p757) :args (@t497 @t455 (@list @t205))) % 180.93/181.49 (step @p772 :rule instantiate :premises (@p771) :args ((@list tptp.jan tptp.cola))) % 180.93/181.49 (step @p773 :rule cnf_or_pos :args (@t502)) % 180.93/181.49 (step @p774 :rule reordering :premises (@p773) :args ((or @t501 @t453 @t500 (not @t502)))) % 180.93/181.49 (step @p775 :rule chain_m_resolution :premises (@p774 @p772 @p665 @p624) :args (@t500 (@list true false false) (@list @t501 @t452 @t502))) % 180.93/181.49 (step @p776 :rule cnf_or_pos :args (@t503)) % 180.93/181.49 (step @p777 :rule reordering :premises (@p776) :args ((or @t453 @t499 @t504))) % 180.93/181.49 (step @p778 :rule chain_m_resolution :premises (@p777 @p665 @p775) :args (@t504 (@list false true) (@list @t452 @t499))) % 180.93/181.49 (assume-push @p845 @t210) % 180.93/181.49 (step @p780 :rule instantiate :premises (@p845) :args ((@list @t436))) % 180.93/181.49 (step-pop @p846 :rule scope :premises (@p780)) % 180.93/181.49 (step @p781 :rule process_scope :premises (@p846) :args (@t503)) % 180.93/181.49 (step @p783 :rule implies_elim :premises (@p781)) % 180.93/181.49 (step @p784 :rule chain_m_resolution :premises (@p783 @p778) :args (@t505 @t455 (@list @t503))) % 180.93/181.49 (step @p785 :rule refl :args (@t510)) % 180.93/181.49 (step @p786 :rule bool-double-not-elim :args (@t210)) % 180.93/181.49 (step @p787 :rule nary_cong :premises (@p786 @p785) :args ((or (not @t505) @t510))) % 180.93/181.49 (assume-push @p847 @t505) % 180.93/181.49 (step @p789 :rule skolemize :premises (@p847)) % 180.93/181.49 (step-pop @p848 :rule scope :premises (@p789)) % 180.93/181.49 (step @p790 :rule process_scope :premises (@p848) :args (@t510)) % 180.93/181.49 (step @p792 :rule implies_elim :premises (@p790)) % 180.93/181.49 (step @p793 :rule eq_resolve :premises (@p792 @p787)) % 180.93/181.49 (step @p794 :rule chain_m_resolution :premises (@p793 @p784) :args (@t510 @t455 (@list @t210))) % 180.93/181.49 (step @p795 :rule bool-double-not-elim :args (@t507)) % 180.93/181.49 (step @p796 :rule refl :args (@t509)) % 180.93/181.49 (step @p797 :rule nary_cong :premises (@p796 @p795) :args ((or @t509 (not @t508)))) % 180.93/181.49 (step @p798 :rule cnf_or_neg :args (@t509 0)) % 180.93/181.49 (step @p799 :rule eq_resolve :premises (@p798 @p797)) % 180.93/181.49 (step @p800 :rule reordering :premises (@p799) :args ((or @t507 @t509))) % 180.93/181.49 (step @p801 :rule chain_m_resolution :premises (@p800 @p794) :args (@t507 @t455 @t511)) % 180.93/181.49 (step @p802 :rule cnf_or_pos :args (@t513)) % 180.93/181.49 (step @p803 :rule reordering :premises (@p802) :args ((or @t508 @t512 (not @t513)))) % 180.93/181.49 (step @p804 :rule chain_m_resolution :premises (@p803 @p801 @p486) :args (@t512 @t514 (@list @t507 @t513))) % 180.93/181.49 (step @p805 :rule cnf_or_neg :args (@t509 1)) % 180.93/181.49 (step @p806 :rule chain_m_resolution :premises (@p805 @p794) :args ((not @t506) @t455 @t511)) % 180.93/181.49 (step @p807 :rule cnf_or_pos :args (@t517)) % 180.93/181.49 (step @p808 :rule reordering :premises (@p807) :args ((or @t508 @t506 @t516 @t355 @t515 (not @t517)))) % 180.93/181.49 (step @p809 :rule chain_m_resolution :premises (@p808 @p801 @p806 @p804 @p461 @p419) :args (@t515 (@list false true false false false) (@list @t507 @t506 @t512 @t351 @t517))) % 180.93/181.49 (step @p810 :rule refl :args (@t522)) % 180.93/181.49 (step @p811 :rule bool-double-not-elim :args (@t214)) % 180.93/181.49 (step @p812 :rule nary_cong :premises (@p811 @p810) :args ((or (not @t515) @t522))) % 180.93/181.49 (assume-push @p849 @t515) % 180.93/181.49 (step @p814 :rule skolemize :premises (@p849)) % 180.93/181.49 (step-pop @p850 :rule scope :premises (@p814)) % 180.93/181.49 (step @p815 :rule process_scope :premises (@p850) :args (@t522)) % 180.93/181.49 (step @p817 :rule implies_elim :premises (@p815)) % 180.93/181.49 (step @p818 :rule eq_resolve :premises (@p817 @p812)) % 180.93/181.49 (step @p819 :rule chain_m_resolution :premises (@p818 @p809) :args (@t522 @t455 (@list @t214))) % 180.93/181.49 (step @p820 :rule bool-double-not-elim :args (@t519)) % 180.93/181.49 (step @p821 :rule refl :args (@t521)) % 180.93/181.49 (step @p822 :rule nary_cong :premises (@p821 @p820) :args ((or @t521 (not @t520)))) % 180.93/181.49 (step @p823 :rule cnf_or_neg :args (@t521 0)) % 180.93/181.49 (step @p824 :rule eq_resolve :premises (@p823 @p822)) % 180.93/181.49 (step @p825 :rule reordering :premises (@p824) :args ((or @t519 @t521))) % 180.93/181.49 (step @p826 :rule chain_m_resolution :premises (@p825 @p819) :args (@t519 @t455 @t523)) % 180.93/181.49 (step @p827 :rule cnf_or_pos :args (@t525)) % 180.93/181.49 (step @p828 :rule reordering :premises (@p827) :args ((or @t520 @t524 (not @t525)))) % 180.93/181.49 (step @p829 :rule chain_m_resolution :premises (@p828 @p826 @p209) :args (@t524 @t514 (@list @t519 @t525))) % 180.93/181.49 (step @p830 :rule cnf_or_neg :args (@t521 1)) % 180.93/181.49 (step @p831 :rule chain_m_resolution :premises (@p830 @p819) :args ((not @t518) @t455 @t523)) % 180.93/181.49 (step @p832 :rule cnf_or_pos :args (@t527)) % 180.93/181.49 (step @p833 :rule reordering :premises (@p832) :args ((or @t520 @t518 @t526 @t528))) % 180.93/181.49 (step @p834 :rule chain_m_resolution :premises (@p833 @p826 @p831 @p829) :args (@t528 (@list false true false) (@list @t519 @t518 @t524))) % 180.93/181.49 (assume-push @p851 @t125) % 180.93/181.49 (step @p836 :rule instantiate :premises (@p177) :args ((@list @t211 tptp.jan @t215))) % 180.93/181.49 (step-pop @p852 :rule scope :premises (@p836)) % 180.93/181.49 (step @p837 :rule process_scope :premises (@p852) :args (@t527)) % 180.93/181.49 (step @p839 :rule implies_elim :premises (@p837)) % 180.93/181.49 (step @p840 false :rule chain_m_resolution :premises (@p839 @p834 @p177) :args (false (@list true false) (@list @t527 @t125))) % 180.93/181.49 ) % 180.93/181.49 % SZS output end Proof % 180.93/181.49 % cvc5 exiting %------------------------------------------------------------------------------