%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT031^2 : 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 : n021.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 08:04:47 AM UTC 2026 % Result : Theorem 150.63s 151.00s % Output : Proof 150.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT031^2 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:34:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TH0 % 150.63/151.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.63/151.00 --- 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... % 150.63/151.00 --- 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... % 150.63/151.00 --- Run --ho-elim --full-saturate-quant at 18s... % 150.63/151.00 % SZS status Theorem % 150.63/151.00 % SZS output start Proof % 150.63/151.00 ( % 150.63/151.00 (declare-sort $$unsorted 0) % 150.63/151.00 (declare-sort tptp.mu 0) % 150.63/151.00 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.beer tptp.mu) % 150.63/151.00 (declare-const tptp.cola tptp.mu) % 150.63/151.00 (declare-const tptp.jan tptp.mu) % 150.63/151.00 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.pepsi tptp.mu) % 150.63/151.00 (declare-const tptp.piotr tptp.mu) % 150.63/151.00 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 150.63/151.00 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 150.63/151.00 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 150.63/151.00 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.63/151.00 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.63/151.00 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 150.63/151.00 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 150.63/151.00 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.63/151.00 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.63/151.00 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.63/151.00 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 150.63/151.00 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.63/151.00 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.63/151.00 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.63/151.00 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.63/151.00 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.63/151.00 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 150.63/151.00 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 150.63/151.00 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.63/151.00 (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)))))))) % 150.63/151.00 (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)))))))) % 150.63/151.00 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 150.63/151.00 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 150.63/151.00 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 150.63/151.00 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 150.63/151.00 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 150.63/151.00 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 150.63/151.00 (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))))))))))))) % 150.63/151.00 (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)))))) % 150.63/151.00 (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))))))) % 150.63/151.00 (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)))))) % 150.63/151.00 (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))))))) % 150.63/151.00 (define @t1 () (_ tptp.likes tptp.jan)) % 150.63/151.00 (define @t2 () (_ @t1 tptp.cola)) % 150.63/151.00 (define @t3 () (_ tptp.mbox tptp.a1)) % 150.63/151.00 (define @t4 () (_ tptp.likes tptp.piotr)) % 150.63/151.00 (define @t5 () (_ @t4 tptp.pepsi)) % 150.63/151.00 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 150.63/151.00 (define @t7 () (@var "X" tptp.mu)) % 150.63/151.00 (define @t8 () (_ tptp.likes @t7)) % 150.63/151.00 (define @t9 () (_ @t8 tptp.cola)) % 150.63/151.00 (define @t10 () (_ @t8 tptp.pepsi)) % 150.63/151.00 (define @t11 () (_ tptp.mdia tptp.a1)) % 150.63/151.00 (define @t12 () (@list @t7 @t6)) % 150.63/151.00 (define @t13 () (_ @t1 tptp.pepsi)) % 150.63/151.00 (define @t14 () (_ tptp.mbox tptp.a2)) % 150.63/151.00 (define @t15 () (_ @t4 tptp.beer)) % 150.63/151.00 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 150.63/151.00 (define @t17 () (_ tptp.mbox tptp.a3)) % 150.63/151.00 (define @t18 () (_ tptp.mdia tptp.a3)) % 150.63/151.00 (define @t19 () (@var "Y" tptp.mu)) % 150.63/151.00 (define @t20 () (_ tptp.very_much_likes @t7)) % 150.63/151.00 (define @t21 () (_ @t20 @t19)) % 150.63/151.00 (define @t22 () (_ @t8 @t19)) % 150.63/151.00 (define @t23 () (@list @t19 @t6)) % 150.63/151.00 (define @t24 () (lambda @t23 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t22) (_ (_ tptp.mand (_ @t3 @t22)) (_ @t14 @t22)))) @t21)) @t6))) % 150.63/151.00 (define @t25 () (lambda @t12 (_ (_ tptp.mforall_ind @t24) @t6))) % 150.63/151.00 (define @t26 () (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t17 @t21)) @t21) @t6))) % 150.63/151.00 (define @t27 () (lambda @t12 (_ (_ tptp.mforall_ind @t26) @t6))) % 150.63/151.00 (define @t28 () (_ (_ tptp.possibly_likes @t7) @t19)) % 150.63/151.00 (define @t29 () (_ @t21 @t6)) % 150.63/151.00 (define @t30 () (lambda @t23 @t29)) % 150.63/151.00 (define @t31 () (lambda @t12 (_ (_ tptp.mexists_ind @t30) @t6))) % 150.63/151.00 (define @t32 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t31)))) % 150.63/151.00 (define @t33 () (@var "W" $$unsorted)) % 150.63/151.00 (define @t34 () (lambda (@list @t7 @t19 @t33) (= @t7 @t19))) % 150.63/151.00 (define @t35 () (@var "Y" (-> $$unsorted Bool))) % 150.63/151.00 (define @t36 () (@var "X" (-> $$unsorted Bool))) % 150.63/151.00 (define @t37 () (lambda (@list @t36 @t35 @t33) (= (_ @t36 @t33) (_ @t35 @t33)))) % 150.63/151.00 (define @t38 () (@var "Phi" (-> $$unsorted Bool))) % 150.63/151.00 (define @t39 () (_ @t38 @t33)) % 150.63/151.00 (define @t40 () (not @t39)) % 150.63/151.00 (define @t41 () (@list @t38 @t33)) % 150.63/151.00 (define @t42 () (lambda @t41 @t40)) % 150.63/151.00 (define @t43 () (@var "Psi" (-> $$unsorted Bool))) % 150.63/151.00 (define @t44 () (_ @t43 @t33)) % 150.63/151.00 (define @t45 () (lambda (@list @t38 @t43 @t33) (or @t39 @t44))) % 150.63/151.00 (define @t46 () (_ tptp.mnot @t43)) % 150.63/151.00 (define @t47 () (_ tptp.mnot @t38)) % 150.63/151.00 (define @t48 () (_ tptp.mor @t47)) % 150.63/151.00 (define @t49 () (@list @t38 @t43 @t6)) % 150.63/151.00 (define @t50 () (lambda @t49 (_ (_ tptp.mnot (_ @t48 @t46)) @t6))) % 150.63/151.00 (define @t51 () (lambda @t49 (_ (_ @t48 @t43) @t6))) % 150.63/151.00 (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t46) @t38) @t6))) % 150.63/151.00 (define @t53 () (lambda @t49 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t38) @t43)) (_ (_ tptp.mimplies @t43) @t38)) @t6))) % 150.63/151.00 (define @t54 () (lambda @t49 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t38) @t43)) @t6))) % 150.63/151.00 (define @t55 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.63/151.00 (define @t56 () (_ @t55 @t7)) % 150.63/151.00 (define @t57 () (_ @t56 @t33)) % 150.63/151.00 (define @t58 () (@list @t7)) % 150.63/151.00 (define @t59 () (forall @t58 @t57)) % 150.63/151.00 (define @t60 () (@list @t55 @t33)) % 150.63/151.00 (define @t61 () (lambda @t60 @t59)) % 150.63/151.00 (define @t62 () (@var "P" (-> $$unsorted Bool))) % 150.63/151.00 (define @t63 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.63/151.00 (define @t64 () (_ @t63 @t62)) % 150.63/151.00 (define @t65 () (lambda (@list @t63 @t33) (forall (@list @t62) (_ @t64 @t33)))) % 150.63/151.00 (define @t66 () (lambda @t12 (_ (_ tptp.mnot @t56) @t6))) % 150.63/151.00 (define @t67 () (@list @t55 @t6)) % 150.63/151.00 (define @t68 () (lambda @t67 (_ (_ tptp.mnot (_ tptp.mforall_ind @t66)) @t6))) % 150.63/151.00 (define @t69 () (lambda (@list @t63 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t62 @t6) (_ (_ tptp.mnot @t64) @t6)))) @t6))) % 150.63/151.00 (define @t70 () (@list @t33)) % 150.63/151.00 (define @t71 () (lambda @t70 true)) % 150.63/151.00 (define @t72 () (@var "V" $$unsorted)) % 150.63/151.00 (define @t73 () (_ @t38 @t72)) % 150.63/151.00 (define @t74 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.63/151.00 (define @t75 () (_ (_ @t74 @t33) @t72)) % 150.63/151.00 (define @t76 () (not @t75)) % 150.63/151.00 (define @t77 () (or @t76 @t73)) % 150.63/151.00 (define @t78 () (@list @t72)) % 150.63/151.00 (define @t79 () (forall @t78 @t77)) % 150.63/151.00 (define @t80 () (@list @t74 @t38 @t33)) % 150.63/151.00 (define @t81 () (lambda @t80 @t79)) % 150.63/151.00 (define @t82 () (lambda (@list @t74 @t38 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t74) @t47)) @t6))) % 150.63/151.00 (define @t83 () (@var "S" $$unsorted)) % 150.63/151.00 (define @t84 () (_ @t74 @t83)) % 150.63/151.00 (define @t85 () (@list @t83)) % 150.63/151.00 (define @t86 () (@list @t74)) % 150.63/151.00 (define @t87 () (lambda @t86 (forall @t85 (_ @t84 @t83)))) % 150.63/151.00 (define @t88 () (@var "T" $$unsorted)) % 150.63/151.00 (define @t89 () (_ @t74 @t88)) % 150.63/151.00 (define @t90 () (_ @t84 @t88)) % 150.63/151.00 (define @t91 () (lambda @t86 (forall (@list @t83 @t88) (=> @t90 (_ @t89 @t83))))) % 150.63/151.00 (define @t92 () (@list @t88)) % 150.63/151.00 (define @t93 () (lambda @t86 (forall @t85 (exists @t92 @t90)))) % 150.63/151.00 (define @t94 () (@var "U" $$unsorted)) % 150.63/151.00 (define @t95 () (_ @t84 @t94)) % 150.63/151.00 (define @t96 () (_ @t89 @t94)) % 150.63/151.00 (define @t97 () (@list @t83 @t88 @t94)) % 150.63/151.00 (define @t98 () (lambda @t86 (forall @t97 (=> (and @t90 @t96) @t95)))) % 150.63/151.00 (define @t99 () (and @t90 @t95)) % 150.63/151.00 (define @t100 () (lambda @t86 (forall @t97 (=> @t99 @t96)))) % 150.63/151.00 (define @t101 () (= @t88 @t94)) % 150.63/151.00 (define @t102 () (lambda @t86 (forall @t97 (=> @t99 @t101)))) % 150.63/151.00 (define @t103 () (@list @t94)) % 150.63/151.00 (define @t104 () (lambda @t86 (forall @t85 (exists @t92 (and @t90 (forall @t103 (=> @t95 @t101))))))) % 150.63/151.00 (define @t105 () (_ @t74 @t94)) % 150.63/151.00 (define @t106 () (_ @t105 @t88)) % 150.63/151.00 (define @t107 () (lambda @t86 (forall @t97 (=> @t90 (exists @t103 (and @t95 @t106)))))) % 150.63/151.00 (define @t108 () (lambda @t86 (forall @t97 (=> @t99 (or @t96 @t101 @t106))))) % 150.63/151.00 (define @t109 () (lambda @t86 (forall @t97 (=> @t99 (exists @t78 (and (_ @t89 @t72) (_ @t105 @t72))))))) % 150.63/151.00 (define @t110 () (forall @t70 @t39)) % 150.63/151.00 (define @t111 () (@list @t38)) % 150.63/151.00 (define @t112 () (lambda @t111 @t110)) % 150.63/151.00 (define @t113 () (lambda @t111 (forall @t70 @t40))) % 150.63/151.00 (define @t114 () (lambda @t111 (exists @t70 @t39))) % 150.63/151.00 (define @t115 () (lambda @t111 (exists @t70 @t40))) % 150.63/151.00 (define @t116 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 150.63/151.00 (define @t117 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 150.63/151.00 (define @t118 () (_ @t117 @t116 @t7)) % 150.63/151.00 (define @t119 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 150.63/151.00 (define @t120 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.63/151.00 (define @t121 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.63/151.00 (define @t122 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.63/151.00 (define @t123 () (not (_ @t120 (_ @t122 @t121 @t33) @t72))) % 150.63/151.00 (define @t124 () (@list @t33 @t7 @t72)) % 150.63/151.00 (define @t125 () (forall @t124 (or @t123 (not (_ @t120 (_ @t119 @t118 tptp.pepsi) @t72)) (_ @t120 (_ @t119 @t118 tptp.cola) @t72)))) % 150.63/151.00 (define @t126 () (tptp.likes @t7 tptp.cola @t72)) % 150.63/151.00 (define @t127 () (tptp.likes @t7 tptp.pepsi @t72)) % 150.63/151.00 (define @t128 () (not @t127)) % 150.63/151.00 (define @t129 () (not (tptp.a2 @t33 @t72))) % 150.63/151.00 (define @t130 () (or @t129 @t128 @t126)) % 150.63/151.00 (define @t131 () (forall @t124 @t130)) % 150.63/151.00 (define @t132 () (forall (@list @t7 @t72) @t130)) % 150.63/151.00 (define @t133 () (lambda @t70 @t132)) % 150.63/151.00 (define @t134 () (_ @t133 @t33)) % 150.63/151.00 (define @t135 () (forall @t70 @t134)) % 150.63/151.00 (define @t136 () (_ @t38 @t33)) % 150.63/151.00 (define @t137 () (lambda @t111 (forall @t70 @t136))) % 150.63/151.00 (define @t138 () (forall @t78 @t130)) % 150.63/151.00 (define @t139 () (not (tptp.a2 @t6 @t72))) % 150.63/151.00 (define @t140 () (forall @t78 (or @t139 @t128 @t126))) % 150.63/151.00 (define @t141 () (lambda @t12 @t140)) % 150.63/151.00 (define @t142 () (_ @t141 @t7 @t33)) % 150.63/151.00 (define @t143 () (forall @t58 @t142)) % 150.63/151.00 (define @t144 () (lambda @t70 @t143)) % 150.63/151.00 (define @t145 () (_ @t55 @t7 @t33)) % 150.63/151.00 (define @t146 () (forall @t58 @t145)) % 150.63/151.00 (define @t147 () (lambda @t60 @t146)) % 150.63/151.00 (define @t148 () (_ @t9 @t72)) % 150.63/151.00 (define @t149 () (_ @t10 @t72)) % 150.63/151.00 (define @t150 () (not @t149)) % 150.63/151.00 (define @t151 () (or @t129 @t150 @t148)) % 150.63/151.00 (define @t152 () (or @t150 @t148)) % 150.63/151.00 (define @t153 () (not (_ @t10 @t6))) % 150.63/151.00 (define @t154 () (@list @t6)) % 150.63/151.00 (define @t155 () (lambda @t154 (or @t153 (_ @t9 @t6)))) % 150.63/151.00 (define @t156 () (_ @t155 @t72)) % 150.63/151.00 (define @t157 () (or @t129 @t156)) % 150.63/151.00 (define @t158 () (forall @t78 @t157)) % 150.63/151.00 (define @t159 () (lambda @t70 @t158)) % 150.63/151.00 (define @t160 () (_ @t38 @t72)) % 150.63/151.00 (define @t161 () (lambda @t41 (forall @t78 (or @t129 @t160)))) % 150.63/151.00 (define @t162 () (_ @t43 @t6)) % 150.63/151.00 (define @t163 () (@list @t43 @t6)) % 150.63/151.00 (define @t164 () (lambda @t163 (or @t153 @t162))) % 150.63/151.00 (define @t165 () (not (_ @t38 @t6))) % 150.63/151.00 (define @t166 () (or @t165 @t162)) % 150.63/151.00 (define @t167 () (lambda @t49 @t166)) % 150.63/151.00 (define @t168 () (_ @t167 @t10)) % 150.63/151.00 (define @t169 () (_ @t74 @t33 @t72)) % 150.63/151.00 (define @t170 () (lambda @t80 (forall @t78 (or (not @t169) @t160)))) % 150.63/151.00 (define @t171 () (_ @t170 tptp.a2)) % 150.63/151.00 (define @t172 () (or @t40 @t44)) % 150.63/151.00 (define @t173 () (lambda @t70 @t172)) % 150.63/151.00 (define @t174 () (@list @t43 @t33)) % 150.63/151.00 (define @t175 () (lambda @t174 @t172)) % 150.63/151.00 (define @t176 () (lambda @t70 @t40)) % 150.63/151.00 (define @t177 () (_ @t176 @t33)) % 150.63/151.00 (define @t178 () (or @t177 @t44)) % 150.63/151.00 (define @t179 () (lambda @t174 @t178)) % 150.63/151.00 (define @t180 () (_ @t117 @t116 tptp.jan)) % 150.63/151.00 (define @t181 () (_ @t119 @t180 tptp.pepsi)) % 150.63/151.00 (define @t182 () (@list @t33 @t72)) % 150.63/151.00 (define @t183 () (tptp.likes tptp.jan tptp.pepsi @t72)) % 150.63/151.00 (define @t184 () (or @t129 @t183)) % 150.63/151.00 (define @t185 () (forall @t182 @t184)) % 150.63/151.00 (define @t186 () (forall @t78 @t184)) % 150.63/151.00 (define @t187 () (lambda @t70 @t186)) % 150.63/151.00 (define @t188 () (_ @t187 @t33)) % 150.63/151.00 (define @t189 () (forall @t70 @t188)) % 150.63/151.00 (define @t190 () (_ @t13 @t72)) % 150.63/151.00 (define @t191 () (or @t129 @t190)) % 150.63/151.00 (define @t192 () (_ @t13 @t72)) % 150.63/151.00 (define @t193 () (or @t129 @t192)) % 150.63/151.00 (define @t194 () (forall @t78 @t193)) % 150.63/151.00 (define @t195 () (lambda @t70 @t194)) % 150.63/151.00 (define @t196 () (@var "BOUND_VARIABLE_9059" $$unsorted)) % 150.63/151.00 (define @t197 () (_ @t119 @t180 tptp.cola)) % 150.63/151.00 (define @t198 () (@const 6 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)))) % 150.63/151.00 (define @t199 () (_ @t119 (_ @t117 @t198 tptp.jan) tptp.cola)) % 150.63/151.00 (define @t200 () (@var "BOUND_VARIABLE_9634" tptp.mu)) % 150.63/151.00 (define @t201 () (_ @t117 @t198 @t7)) % 150.63/151.00 (define @t202 () (_ @t119 @t201 @t200)) % 150.63/151.00 (define @t203 () (@list @t7 @t200)) % 150.63/151.00 (define @t204 () (forall @t70 (not (forall @t203 (not (_ @t120 @t202 @t33)))))) % 150.63/151.00 (define @t205 () (@quantifiers_skolemize @t204 0)) % 150.63/151.00 (define @t206 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.63/151.00 (define @t207 () (_ @t122 @t206 @t205)) % 150.63/151.00 (define @t208 () (forall @t78 (or (not (_ @t120 @t207 @t72)) (_ @t120 @t199 @t72)))) % 150.63/151.00 (define @t209 () (@quantifiers_skolemize @t208 0)) % 150.63/151.00 (define @t210 () (_ @t122 @t121 @t209)) % 150.63/151.00 (define @t211 () (@list @t196)) % 150.63/151.00 (define @t212 () (forall @t211 (or (not (_ @t120 @t210 @t196)) (_ @t120 @t197 @t196)))) % 150.63/151.00 (define @t213 () (@quantifiers_skolemize @t212 0)) % 150.63/151.00 (define @t214 () (@var "BOUND_VARIABLE_9107" tptp.mu)) % 150.63/151.00 (define @t215 () (_ @t119 @t118 @t214)) % 150.63/151.00 (define @t216 () (@var "BOUND_VARIABLE_9068" $$unsorted)) % 150.63/151.00 (define @t217 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.63/151.00 (define @t218 () (@list @t216)) % 150.63/151.00 (define @t219 () (not (_ @t120 (_ @t122 @t206 @t33) @t72))) % 150.63/151.00 (define @t220 () (@list @t33 @t7 @t214 @t72)) % 150.63/151.00 (define @t221 () (not (tptp.a2 @t72 @t196))) % 150.63/151.00 (define @t222 () (not (forall @t211 (or @t221 (tptp.likes @t7 @t214 @t196))))) % 150.63/151.00 (define @t223 () (not (tptp.a1 @t72 @t216))) % 150.63/151.00 (define @t224 () (not (forall @t218 (or @t223 (tptp.likes @t7 @t214 @t216))))) % 150.63/151.00 (define @t225 () (not (tptp.likes @t7 @t214 @t72))) % 150.63/151.00 (define @t226 () (tptp.very_much_likes @t7 @t214 @t72)) % 150.63/151.00 (define @t227 () (not (tptp.a3 @t33 @t72))) % 150.63/151.00 (define @t228 () (or @t227 @t226 @t225 @t224 @t222)) % 150.63/151.00 (define @t229 () (forall @t220 @t228)) % 150.63/151.00 (define @t230 () (forall (@list @t7 @t214 @t72) @t228)) % 150.63/151.00 (define @t231 () (lambda @t70 @t230)) % 150.63/151.00 (define @t232 () (_ @t231 @t33)) % 150.63/151.00 (define @t233 () (forall @t70 @t232)) % 150.63/151.00 (define @t234 () (@list @t214 @t72)) % 150.63/151.00 (define @t235 () (forall @t234 @t228)) % 150.63/151.00 (define @t236 () (not (tptp.a3 @t6 @t72))) % 150.63/151.00 (define @t237 () (forall @t234 (or @t236 @t226 @t225 @t224 @t222))) % 150.63/151.00 (define @t238 () (lambda @t12 @t237)) % 150.63/151.00 (define @t239 () (_ @t238 @t7 @t33)) % 150.63/151.00 (define @t240 () (forall @t58 @t239)) % 150.63/151.00 (define @t241 () (lambda @t70 @t240)) % 150.63/151.00 (define @t242 () (forall @t78 @t228)) % 150.63/151.00 (define @t243 () (@list @t214)) % 150.63/151.00 (define @t244 () (tptp.likes @t7 @t19 @t196)) % 150.63/151.00 (define @t245 () (not (forall @t211 (or @t221 @t244)))) % 150.63/151.01 (define @t246 () (tptp.likes @t7 @t19 @t216)) % 150.63/151.01 (define @t247 () (not (forall @t218 (or @t223 @t246)))) % 150.63/151.01 (define @t248 () (tptp.likes @t7 @t19 @t72)) % 150.63/151.01 (define @t249 () (not @t248)) % 150.63/151.01 (define @t250 () (tptp.very_much_likes @t7 @t19 @t72)) % 150.63/151.01 (define @t251 () (forall @t78 (or @t236 @t250 @t249 @t247 @t245))) % 150.63/151.01 (define @t252 () (lambda @t23 @t251)) % 150.63/151.01 (define @t253 () (_ @t252 @t214 @t33)) % 150.63/151.01 (define @t254 () (forall @t243 @t253)) % 150.63/151.01 (define @t255 () (lambda @t70 @t254)) % 150.63/151.01 (define @t256 () (@list @t7)) % 150.63/151.01 (define @t257 () (_ @t22 @t72)) % 150.63/151.01 (define @t258 () (not @t257)) % 150.63/151.01 (define @t259 () (_ @t21 @t72)) % 150.63/151.01 (define @t260 () (or @t227 @t259 @t258 @t247 @t245)) % 150.63/151.01 (define @t261 () (or @t259 @t258 @t247 @t245)) % 150.63/151.01 (define @t262 () (not (_ @t22 @t6))) % 150.63/151.01 (define @t263 () (forall @t78 (or @t139 @t248))) % 150.63/151.01 (define @t264 () (@list @t72)) % 150.63/151.01 (define @t265 () (not @t263)) % 150.63/151.01 (define @t266 () (forall @t78 (or (not (tptp.a1 @t6 @t72)) @t248))) % 150.63/151.01 (define @t267 () (not @t266)) % 150.63/151.01 (define @t268 () (or @t29 @t262 @t267 @t265)) % 150.63/151.01 (define @t269 () (lambda @t154 @t268)) % 150.63/151.01 (define @t270 () (or @t227 (_ @t269 @t72))) % 150.63/151.01 (define @t271 () (forall @t78 @t270)) % 150.63/151.01 (define @t272 () (lambda @t70 @t271)) % 150.63/151.01 (define @t273 () (lambda @t41 (forall @t78 (or @t227 @t160)))) % 150.63/151.01 (define @t274 () (or @t162 @t262 @t267 @t265)) % 150.63/151.01 (define @t275 () (or @t262 @t267 @t265)) % 150.63/151.01 (define @t276 () (not @t275)) % 150.63/151.01 (define @t277 () (lambda @t154 @t276)) % 150.63/151.01 (define @t278 () (_ @t277 @t6)) % 150.63/151.01 (define @t279 () (not @t278)) % 150.63/151.01 (define @t280 () (or @t279 @t162)) % 150.63/151.01 (define @t281 () (lambda @t163 @t280)) % 150.63/151.01 (define @t282 () (or @t267 @t265)) % 150.63/151.01 (define @t283 () (not @t282)) % 150.63/151.01 (define @t284 () (lambda @t154 @t283)) % 150.63/151.01 (define @t285 () (_ @t284 @t6)) % 150.63/151.01 (define @t286 () (not @t285)) % 150.63/151.01 (define @t287 () (or @t262 @t286)) % 150.63/151.01 (define @t288 () (not @t287)) % 150.63/151.01 (define @t289 () (lambda @t154 @t288)) % 150.63/151.01 (define @t290 () (not @t162)) % 150.63/151.01 (define @t291 () (lambda @t163 (not (or @t262 @t290)))) % 150.63/151.01 (define @t292 () (lambda @t70 (forall @t78 (or @t129 @t248)))) % 150.63/151.01 (define @t293 () (_ @t292 @t6)) % 150.63/151.01 (define @t294 () (not @t293)) % 150.63/151.01 (define @t295 () (or @t267 @t294)) % 150.63/151.01 (define @t296 () (not @t295)) % 150.63/151.01 (define @t297 () (lambda @t154 @t296)) % 150.63/151.01 (define @t298 () (or @t129 @t257)) % 150.63/151.01 (define @t299 () (_ @t22 @t72)) % 150.63/151.01 (define @t300 () (or @t129 @t299)) % 150.63/151.01 (define @t301 () (forall @t78 @t300)) % 150.63/151.01 (define @t302 () (lambda @t70 @t301)) % 150.63/151.01 (define @t303 () (not (tptp.a1 @t33 @t72))) % 150.63/151.01 (define @t304 () (lambda @t70 (forall @t78 (or @t303 @t248)))) % 150.63/151.01 (define @t305 () (_ @t304 @t6)) % 150.63/151.01 (define @t306 () (not @t305)) % 150.63/151.01 (define @t307 () (or @t306 @t290)) % 150.63/151.01 (define @t308 () (not @t307)) % 150.63/151.01 (define @t309 () (lambda @t163 @t308)) % 150.63/151.01 (define @t310 () (not (or @t165 @t290))) % 150.63/151.01 (define @t311 () (lambda @t49 @t310)) % 150.63/151.01 (define @t312 () (or @t303 @t257)) % 150.63/151.01 (define @t313 () (or @t303 @t299)) % 150.63/151.01 (define @t314 () (forall @t78 @t313)) % 150.63/151.01 (define @t315 () (lambda @t70 @t314)) % 150.63/151.01 (define @t316 () (lambda @t41 (forall @t78 (or @t303 @t160)))) % 150.63/151.01 (define @t317 () (_ @t170 tptp.a1)) % 150.63/151.01 (define @t318 () (_ @t311 @t22)) % 150.63/151.01 (define @t319 () (_ @t170 tptp.a3)) % 150.63/151.01 (define @t320 () (lambda @t23 (_ (_ @t319 (_ (_ @t167 (_ @t318 (_ (_ @t311 (_ @t317 @t22)) (_ @t171 @t22)))) @t21)) @t6))) % 150.63/151.01 (define @t321 () (not @t44)) % 150.63/151.01 (define @t322 () (or @t40 @t321)) % 150.63/151.01 (define @t323 () (lambda @t70 @t322)) % 150.63/151.01 (define @t324 () (_ @t323 @t33)) % 150.63/151.01 (define @t325 () (not @t324)) % 150.63/151.01 (define @t326 () (lambda @t70 @t325)) % 150.63/151.01 (define @t327 () (lambda @t70 @t321)) % 150.63/151.01 (define @t328 () (_ @t327 @t33)) % 150.63/151.01 (define @t329 () (or @t40 @t328)) % 150.63/151.01 (define @t330 () (lambda @t70 @t329)) % 150.63/151.01 (define @t331 () (_ @t120 @t197 @t72)) % 150.63/151.01 (define @t332 () (tptp.likes tptp.jan tptp.cola @t72)) % 150.63/151.01 (define @t333 () (or @t303 @t332)) % 150.63/151.01 (define @t334 () (forall @t182 @t333)) % 150.63/151.01 (define @t335 () (forall @t78 @t333)) % 150.63/151.01 (define @t336 () (lambda @t70 @t335)) % 150.63/151.01 (define @t337 () (_ @t336 @t33)) % 150.63/151.01 (define @t338 () (forall @t70 @t337)) % 150.63/151.01 (define @t339 () (_ @t2 @t72)) % 150.63/151.01 (define @t340 () (or @t303 @t339)) % 150.63/151.01 (define @t341 () (_ @t2 @t72)) % 150.63/151.01 (define @t342 () (or @t303 @t341)) % 150.63/151.01 (define @t343 () (forall @t78 @t342)) % 150.63/151.01 (define @t344 () (lambda @t70 @t343)) % 150.63/151.01 (define @t345 () (_ @t122 @t217 @t209)) % 150.63/151.01 (define @t346 () (forall @t218 (or (not (_ @t120 @t345 @t216)) (_ @t120 @t197 @t216)))) % 150.63/151.01 (define @t347 () (@quantifiers_skolemize @t346 0)) % 150.63/151.01 (define @t348 () (or (not (_ @t120 @t345 @t347)) (_ @t120 @t197 @t347))) % 150.63/151.01 (define @t349 () (not @t348)) % 150.63/151.01 (define @t350 () (not @t346)) % 150.63/151.01 (define @t351 () (or @t227 @t332)) % 150.63/151.01 (define @t352 () (forall @t182 @t351)) % 150.63/151.01 (define @t353 () (forall @t78 @t351)) % 150.63/151.01 (define @t354 () (lambda @t70 @t353)) % 150.63/151.01 (define @t355 () (_ @t354 @t33)) % 150.63/151.01 (define @t356 () (forall @t70 @t355)) % 150.63/151.01 (define @t357 () (or @t227 @t339)) % 150.63/151.01 (define @t358 () (or @t227 @t341)) % 150.63/151.01 (define @t359 () (forall @t78 @t358)) % 150.63/151.01 (define @t360 () (lambda @t70 @t359)) % 150.63/151.01 (define @t361 () (@var "BOUND_VARIABLE_9192" tptp.mu)) % 150.63/151.01 (define @t362 () (_ @t119 @t201 @t361)) % 150.63/151.01 (define @t363 () (@list @t33 @t7 @t361)) % 150.63/151.01 (define @t364 () (tptp.very_much_likes @t7 @t361 @t33)) % 150.63/151.01 (define @t365 () (tptp.very_much_likes @t7 @t361 @t72)) % 150.63/151.01 (define @t366 () (not (forall @t78 (or @t227 @t365)))) % 150.63/151.01 (define @t367 () (or @t366 @t364)) % 150.63/151.01 (define @t368 () (forall @t363 @t367)) % 150.63/151.01 (define @t369 () (forall (@list @t7 @t361) @t367)) % 150.63/151.01 (define @t370 () (lambda @t70 @t369)) % 150.63/151.01 (define @t371 () (_ @t370 @t33)) % 150.63/151.01 (define @t372 () (forall @t70 @t371)) % 150.63/151.01 (define @t373 () (@list @t361)) % 150.63/151.01 (define @t374 () (forall @t373 @t367)) % 150.63/151.01 (define @t375 () (forall @t373 (or (not (forall @t78 (or @t236 @t365))) (tptp.very_much_likes @t7 @t361 @t6)))) % 150.63/151.01 (define @t376 () (lambda @t12 @t375)) % 150.63/151.01 (define @t377 () (_ @t376 @t7 @t33)) % 150.63/151.01 (define @t378 () (forall @t58 @t377)) % 150.63/151.01 (define @t379 () (lambda @t70 @t378)) % 150.63/151.01 (define @t380 () (_ (_ @t20 @t361) @t33)) % 150.63/151.01 (define @t381 () (or @t366 @t380)) % 150.63/151.01 (define @t382 () (forall @t78 (or @t236 @t250))) % 150.63/151.01 (define @t383 () (not @t382)) % 150.63/151.01 (define @t384 () (or @t383 @t29)) % 150.63/151.01 (define @t385 () (lambda @t23 @t384)) % 150.63/151.01 (define @t386 () (_ @t385 @t361 @t33)) % 150.63/151.01 (define @t387 () (forall @t373 @t386)) % 150.63/151.01 (define @t388 () (lambda @t70 @t387)) % 150.63/151.01 (define @t389 () (lambda @t154 @t384)) % 150.63/151.01 (define @t390 () (lambda @t70 (forall @t78 (or @t227 @t250)))) % 150.63/151.01 (define @t391 () (_ @t390 @t6)) % 150.63/151.01 (define @t392 () (not @t391)) % 150.63/151.01 (define @t393 () (or @t392 @t162)) % 150.63/151.01 (define @t394 () (lambda @t163 @t393)) % 150.63/151.01 (define @t395 () (or @t227 @t259)) % 150.63/151.01 (define @t396 () (_ @t21 @t72)) % 150.63/151.01 (define @t397 () (or @t227 @t396)) % 150.63/151.01 (define @t398 () (forall @t78 @t397)) % 150.63/151.01 (define @t399 () (lambda @t70 @t398)) % 150.63/151.01 (define @t400 () (lambda @t23 (_ (_ (_ @t167 (_ @t319 @t21)) @t21) @t6))) % 150.63/151.01 (define @t401 () (not @t204)) % 150.63/151.01 (define @t402 () (not (forall @t203 (not (tptp.very_much_likes @t7 @t200 @t33))))) % 150.63/151.01 (define @t403 () (tptp.very_much_likes @t7 @t200 @t6)) % 150.63/151.01 (define @t404 () (not @t403)) % 150.63/151.01 (define @t405 () (forall @t203 @t404)) % 150.63/151.01 (define @t406 () (lambda @t154 (not @t405))) % 150.63/151.01 (define @t407 () (_ @t406 @t33)) % 150.63/151.01 (define @t408 () (forall @t70 @t407)) % 150.63/151.01 (define @t409 () (@list @t200)) % 150.63/151.01 (define @t410 () (forall @t409 @t404)) % 150.63/151.01 (define @t411 () (not @t410)) % 150.63/151.01 (define @t412 () (lambda @t12 @t411)) % 150.63/151.01 (define @t413 () (_ @t412 @t7 @t6)) % 150.63/151.01 (define @t414 () (not @t413)) % 150.63/151.01 (define @t415 () (forall @t58 @t414)) % 150.63/151.01 (define @t416 () (not @t415)) % 150.63/151.01 (define @t417 () (lambda @t154 @t416)) % 150.63/151.01 (define @t418 () (forall @t58 (not (_ @t55 @t7 @t6)))) % 150.63/151.01 (define @t419 () (not @t418)) % 150.63/151.01 (define @t420 () (lambda @t67 @t419)) % 150.63/151.01 (define @t421 () (_ (_ @t20 @t200) @t6)) % 150.63/151.01 (define @t422 () (not @t421)) % 150.63/151.01 (define @t423 () (_ @t30 @t200 @t6)) % 150.63/151.01 (define @t424 () (not @t423)) % 150.63/151.01 (define @t425 () (forall @t409 @t424)) % 150.63/151.01 (define @t426 () (not @t425)) % 150.63/151.01 (define @t427 () (lambda @t154 @t426)) % 150.63/151.01 (define @t428 () (lambda @t12 (_ (_ @t420 @t30) @t6))) % 150.63/151.01 (define @t429 () (forall @t58 (not @t145))) % 150.63/151.01 (define @t430 () (lambda @t70 @t429)) % 150.63/151.01 (define @t431 () (_ @t430 @t33)) % 150.63/151.01 (define @t432 () (not @t431)) % 150.63/151.01 (define @t433 () (lambda @t70 @t432)) % 150.63/151.01 (define @t434 () (not @t57)) % 150.63/151.01 (define @t435 () (not (_ @t56 @t6))) % 150.63/151.01 (define @t436 () (lambda @t12 @t435)) % 150.63/151.01 (define @t437 () (_ @t436 @t7 @t33)) % 150.63/151.01 (define @t438 () (forall @t58 @t437)) % 150.63/151.01 (define @t439 () (lambda @t70 @t438)) % 150.63/151.01 (define @t440 () (lambda @t70 @t434)) % 150.63/151.01 (define @t441 () (_ @t42 @t56)) % 150.63/151.01 (define @t442 () (forall @t203 (not (_ @t120 @t202 @t205)))) % 150.63/151.01 (define @t443 () (not (not @t442))) % 150.63/151.01 (define @t444 () (@list true)) % 150.63/151.01 (define @t445 () (_ @t120 @t199 @t205)) % 150.63/151.01 (define @t446 () (not @t208)) % 150.63/151.01 (define @t447 () (or @t446 @t445)) % 150.63/151.01 (define @t448 () (@list true false)) % 150.63/151.01 (define @t449 () (_ @t120 @t207 @t209)) % 150.63/151.01 (define @t450 () (_ @t120 @t199 @t209)) % 150.63/151.01 (define @t451 () (not @t449)) % 150.63/151.01 (define @t452 () (or @t451 @t450)) % 150.63/151.01 (define @t453 () (@list @t452)) % 150.63/151.01 (define @t454 () (_ @t120 @t197 @t209)) % 150.63/151.01 (define @t455 () (or @t451 @t454)) % 150.63/151.01 (define @t456 () (@list false false)) % 150.63/151.01 (define @t457 () (not @t212)) % 150.63/151.01 (define @t458 () (not @t454)) % 150.63/151.01 (define @t459 () (or @t451 @t450 @t458 @t350 @t457)) % 150.63/151.01 (define @t460 () (_ @t120 @t197 @t213)) % 150.63/151.01 (define @t461 () (_ @t120 @t210 @t213)) % 150.63/151.01 (define @t462 () (not @t461)) % 150.63/151.01 (define @t463 () (or @t462 @t460)) % 150.63/151.01 (define @t464 () (not @t463)) % 150.63/151.01 (define @t465 () (@list @t463)) % 150.63/151.01 (define @t466 () (_ @t120 @t181 @t213)) % 150.63/151.01 (define @t467 () (or @t462 @t466)) % 150.63/151.01 (define @t468 () (not @t466)) % 150.63/151.01 (define @t469 () (or @t462 @t468 @t460)) % 150.63/151.01 (define @t470 () (not @t469)) % 150.63/151.01 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.63/151.01 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 150.63/151.01 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 150.63/151.01 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 150.63/151.01 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 150.63/151.01 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 150.63/151.01 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 150.63/151.01 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 150.63/151.01 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 150.63/151.01 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 150.63/151.01 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 150.63/151.01 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 150.63/151.01 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 150.63/151.01 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t25))) % 150.63/151.01 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind @t27))) % 150.63/151.01 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t22) @t6))) @t6))))) % 150.63/151.01 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t11 @t22)) @t28) @t6))) @t6))))) % 150.63/151.01 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t22)) @t28) @t6))) @t6))))) % 150.63/151.01 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t23 (_ (_ (_ tptp.mimplies (_ @t18 @t22)) @t28) @t6))) @t6))))) % 150.63/151.01 (assume @p20 @t32) % 150.63/151.01 (assume @p21 true) % 150.63/151.01 (step @p22 (= tptp.meq_ind @t34) :rule refl :args (@t34)) % 150.63/151.01 (step @p23 (= tptp.meq_prop @t37) :rule refl :args (@t37)) % 150.63/151.01 (step @p24 (= tptp.mnot @t42) :rule refl :args (@t42)) % 150.63/151.01 (step @p25 (= tptp.mor @t45) :rule refl :args (@t45)) % 150.63/151.01 (step @p26 (= tptp.mand @t50) :rule refl :args (@t50)) % 150.63/151.01 (step @p27 (= tptp.mimplies @t51) :rule refl :args (@t51)) % 150.63/151.01 (step @p28 (= tptp.mimplied @t52) :rule refl :args (@t52)) % 150.63/151.01 (step @p29 (= tptp.mequiv @t53) :rule refl :args (@t53)) % 150.63/151.01 (step @p30 (= tptp.mxor @t54) :rule refl :args (@t54)) % 150.63/151.01 (step @p31 (= tptp.mforall_ind @t61) :rule refl :args (@t61)) % 150.63/151.01 (step @p32 (= tptp.mforall_prop @t65) :rule refl :args (@t65)) % 150.63/151.01 (step @p33 (= tptp.mexists_ind @t68) :rule refl :args (@t68)) % 150.63/151.01 (step @p34 (= tptp.mexists_prop @t69) :rule refl :args (@t69)) % 150.63/151.01 (step @p35 (= tptp.mtrue @t71) :rule refl :args (@t71)) % 150.63/151.01 (step @p36 (= tptp.mbox @t81) :rule refl :args (@t81)) % 150.63/151.01 (step @p37 (= tptp.mdia @t82) :rule refl :args (@t82)) % 150.63/151.01 (step @p38 (= tptp.mreflexive @t87) :rule refl :args (@t87)) % 150.63/151.01 (step @p39 (= tptp.msymmetric @t91) :rule refl :args (@t91)) % 150.63/151.01 (step @p40 (= tptp.mserial @t93) :rule refl :args (@t93)) % 150.63/151.01 (step @p41 (= tptp.mtransitive @t98) :rule refl :args (@t98)) % 150.63/151.01 (step @p42 (= tptp.meuclidean @t100) :rule refl :args (@t100)) % 150.63/151.01 (step @p43 (= tptp.mpartially_functional @t102) :rule refl :args (@t102)) % 150.63/151.01 (step @p44 (= tptp.mfunctional @t104) :rule refl :args (@t104)) % 150.63/151.01 (step @p45 (= tptp.mweakly_dense @t107) :rule refl :args (@t107)) % 150.63/151.01 (step @p46 (= tptp.mweakly_connected @t108) :rule refl :args (@t108)) % 150.63/151.01 (step @p47 (= tptp.mweakly_directed @t109) :rule refl :args (@t109)) % 150.63/151.01 (step @p48 (= tptp.mvalid @t112) :rule refl :args (@t112)) % 150.63/151.01 (step @p49 (= tptp.minvalid @t113) :rule refl :args (@t113)) % 150.63/151.01 (step @p50 (= tptp.msatisfiable @t114) :rule refl :args (@t114)) % 150.63/151.01 (step @p51 (= tptp.mcountersatisfiable @t115) :rule refl :args (@t115)) % 150.63/151.01 ; WARNING: add trust step for TRUST % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p52 :rule trust :premises () :args ((= @t131 @t125))) % 150.63/151.01 (step @p53 :rule quant-merge-prenex :args ((= (forall @t70 @t132) @t131))) % 150.63/151.01 (step @p54 :rule beta-reduce :args ((= @t134 @t132))) % 150.63/151.01 (step @p55 :rule cong :premises (@p54) :args (@t135)) % 150.63/151.01 (step @p56 :rule trans :premises (@p55 @p53)) % 150.63/151.01 (step @p57 :rule beta-reduce :args ((= (_ @t137 @t133) @t135))) % 150.63/151.01 (step @p58 :rule trans :premises (@p57 @p56)) % 150.63/151.01 (step @p59 :rule quant-merge-prenex :args ((= (forall @t58 @t138) @t132))) % 150.63/151.01 (step @p60 :rule beta-reduce :args ((= @t142 @t138))) % 150.63/151.01 (step @p61 :rule cong :premises (@p60) :args (@t143)) % 150.63/151.01 (step @p62 :rule trans :premises (@p61 @p59)) % 150.63/151.01 (step @p63 :rule cong :premises (@p62) :args (@t144)) % 150.63/151.01 (step @p64 :rule beta-reduce :args ((= (_ @t147 @t141) @t144))) % 150.63/151.01 (step @p65 :rule trans :premises (@p64 @p63)) % 150.63/151.01 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t70 @t138) @t6) @t140))) % 150.63/151.01 (step @p67 :rule refl :args (@t6)) % 150.63/151.01 (step @p68 :rule refl :args (@t126)) % 150.63/151.01 (step @p69 :rule refl :args (@t148)) % 150.63/151.01 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t148 @t126))) % 150.63/151.01 (step @p71 :rule symm :premises (@p70)) % 150.63/151.01 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 150.63/151.01 (step @p73 :rule refl :args (@t127)) % 150.63/151.01 (step @p74 :rule refl :args (@t149)) % 150.63/151.01 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t149 @t127))) % 150.63/151.01 (step @p76 :rule symm :premises (@p75)) % 150.63/151.01 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 150.63/151.01 (step @p78 :rule cong :premises (@p77) :args (@t150)) % 150.63/151.01 (step @p79 :rule refl :args (@t129)) % 150.63/151.01 (step @p80 :rule nary_cong :premises (@p79 @p78 @p72) :args (@t151)) % 150.63/151.01 (step @p81 :rule cong :premises (@p80) :args ((forall @t78 @t151))) % 150.63/151.01 (step @p82 :rule aci_norm :args ((= (or @t129 @t152) @t151))) % 150.63/151.01 (step @p83 :rule beta-reduce :args ((= @t156 @t152))) % 150.63/151.01 (step @p84 :rule refl :args (@t129)) % 150.63/151.01 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t157)) % 150.63/151.01 (step @p86 :rule trans :premises (@p85 @p82)) % 150.63/151.01 (step @p87 :rule cong :premises (@p86) :args (@t158)) % 150.63/151.01 (step @p88 :rule trans :premises (@p87 @p81)) % 150.63/151.01 (step @p89 :rule cong :premises (@p88) :args (@t159)) % 150.63/151.01 (step @p90 :rule beta-reduce :args ((= (_ @t161 @t155) @t159))) % 150.63/151.01 (step @p91 :rule trans :premises (@p90 @p89)) % 150.63/151.01 (step @p92 :rule beta-reduce :args ((= (_ @t164 @t9) @t155))) % 150.63/151.01 (step @p93 :rule refl :args (@t9)) % 150.63/151.01 (step @p94 :rule beta-reduce :args ((= @t168 @t164))) % 150.63/151.01 (step @p95 :rule ho_cong :premises (@p94 @p93)) % 150.63/151.01 (step @p96 :rule trans :premises (@p95 @p92)) % 150.63/151.01 (step @p97 :rule beta-reduce :args ((= @t171 @t161))) % 150.63/151.01 (step @p98 :rule ho_cong :premises (@p97 @p96)) % 150.63/151.01 (step @p99 :rule trans :premises (@p98 @p91)) % 150.63/151.01 (step @p100 :rule ho_cong :premises (@p99 @p67)) % 150.63/151.01 (step @p101 :rule trans :premises (@p100 @p66)) % 150.63/151.01 (step @p102 :rule cong :premises (@p101) :args ((lambda @t12 (_ (_ @t171 (_ @t168 @t9)) @t6)))) % 150.63/151.01 (step @p103 :rule refl :args (@t147)) % 150.63/151.01 (step @p104 :rule ho_cong :premises (@p103 @p102)) % 150.63/151.01 (step @p105 :rule trans :premises (@p104 @p65)) % 150.63/151.01 (step @p106 :rule refl :args (@t137)) % 150.63/151.01 (step @p107 :rule ho_cong :premises (@p106 @p105)) % 150.63/151.01 (step @p108 :rule trans :premises (@p107 @p58)) % 150.63/151.01 (step @p109 :rule refl :args (@t10)) % 150.63/151.01 (step @p110 :rule beta-reduce :args ((= (_ @t173 @t6) @t166))) % 150.63/151.01 (step @p111 :rule beta-reduce :args ((= (_ @t175 @t43) @t173))) % 150.63/151.01 (step @p112 :rule refl :args (@t43)) % 150.63/151.01 (step @p113 :rule refl :args (@t44)) % 150.63/151.01 (step @p114 :rule beta-reduce :args ((= @t177 @t40))) % 150.63/151.01 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t178)) % 150.63/151.01 (step @p116 :rule cong :premises (@p115) :args (@t179)) % 150.63/151.01 (step @p117 :rule beta-reduce :args ((= (_ @t45 @t176) @t179))) % 150.63/151.01 (step @p118 :rule trans :premises (@p117 @p116)) % 150.63/151.01 (step @p119 :rule beta-reduce :args ((= (_ @t42 @t38) @t176))) % 150.63/151.01 (step @p120 :rule refl :args (@t45)) % 150.63/151.01 (step @p121 :rule ho_cong :premises (@p120 @p119)) % 150.63/151.01 (step @p122 :rule trans :premises (@p121 @p118)) % 150.63/151.01 (step @p123 :rule ho_cong :premises (@p122 @p112)) % 150.63/151.01 (step @p124 :rule trans :premises (@p123 @p111)) % 150.63/151.01 (step @p125 :rule ho_cong :premises (@p124 @p67)) % 150.63/151.01 (step @p126 :rule trans :premises (@p125 @p110)) % 150.63/151.01 (step @p127 :rule refl :args (@t38)) % 150.63/151.01 (step @p128 :rule ho_cong :premises (@p24 @p127)) % 150.63/151.01 (step @p129 :rule ho_cong :premises (@p25 @p128)) % 150.63/151.01 (step @p130 :rule ho_cong :premises (@p129 @p112)) % 150.63/151.01 (step @p131 :rule ho_cong :premises (@p130 @p67)) % 150.63/151.01 (step @p132 :rule trans :premises (@p131 @p126)) % 150.63/151.01 (step @p133 :rule cong :premises (@p132) :args (@t51)) % 150.63/151.01 (step @p134 :rule trans :premises (@p27 @p133)) % 150.63/151.01 (step @p135 :rule ho_cong :premises (@p134 @p109)) % 150.63/151.01 (step @p136 :rule ho_cong :premises (@p135 @p93)) % 150.63/151.01 (step @p137 :rule refl :args (tptp.a2)) % 150.63/151.01 (step @p138 :rule refl :args (@t160)) % 150.63/151.01 (step @p139 :rule refl :args (@t73)) % 150.63/151.01 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t73 @t160))) % 150.63/151.01 (step @p141 :rule symm :premises (@p140)) % 150.63/151.01 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 150.63/151.01 (step @p143 :rule refl :args (@t169)) % 150.63/151.01 (step @p144 :rule refl :args (@t75)) % 150.63/151.01 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t75 @t169))) % 150.63/151.01 (step @p146 :rule symm :premises (@p145)) % 150.63/151.01 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 150.63/151.01 (step @p148 :rule cong :premises (@p147) :args (@t76)) % 150.63/151.01 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t77)) % 150.63/151.01 (step @p150 :rule cong :premises (@p149) :args (@t79)) % 150.63/151.01 (step @p151 :rule cong :premises (@p150) :args (@t81)) % 150.63/151.01 (step @p152 :rule trans :premises (@p36 @p151)) % 150.63/151.01 (step @p153 :rule ho_cong :premises (@p152 @p137)) % 150.63/151.01 (step @p154 :rule ho_cong :premises (@p153 @p136)) % 150.63/151.01 (step @p155 :rule ho_cong :premises (@p154 @p67)) % 150.63/151.01 (step @p156 :rule cong :premises (@p155) :args (@t16)) % 150.63/151.01 (step @p157 :rule refl :args (@t145)) % 150.63/151.01 (step @p158 :rule refl :args (@t57)) % 150.63/151.01 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t57 @t145))) % 150.63/151.01 (step @p160 :rule symm :premises (@p159)) % 150.63/151.01 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 150.63/151.01 (step @p162 :rule cong :premises (@p161) :args (@t59)) % 150.63/151.01 (step @p163 :rule cong :premises (@p162) :args (@t61)) % 150.63/151.01 (step @p164 :rule trans :premises (@p31 @p163)) % 150.63/151.01 (step @p165 :rule ho_cong :premises (@p164 @p156)) % 150.63/151.01 (step @p166 :rule refl :args (@t136)) % 150.63/151.01 (step @p167 :rule refl :args (@t39)) % 150.63/151.01 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t39 @t136))) % 150.63/151.01 (step @p169 :rule symm :premises (@p168)) % 150.63/151.01 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 150.63/151.01 (step @p171 :rule cong :premises (@p170) :args (@t110)) % 150.63/151.01 (step @p172 :rule cong :premises (@p171) :args (@t112)) % 150.63/151.01 (step @p173 :rule trans :premises (@p48 @p172)) % 150.63/151.01 (step @p174 :rule ho_cong :premises (@p173 @p165)) % 150.63/151.01 (step @p175 :rule trans :premises (@p174 @p108)) % 150.63/151.01 (step @p176 :rule trans :premises (@p175 @p52)) % 150.63/151.01 (step @p177 :rule eq_resolve :premises (@p9 @p176)) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p178 :rule trust :premises () :args ((= @t185 (forall @t182 (or @t123 (_ @t120 @t181 @t72)))))) % 150.63/151.01 (step @p179 :rule quant-merge-prenex :args ((= (forall @t70 @t186) @t185))) % 150.63/151.01 (step @p180 :rule beta-reduce :args ((= @t188 @t186))) % 150.63/151.01 (step @p181 :rule cong :premises (@p180) :args (@t189)) % 150.63/151.01 (step @p182 :rule trans :premises (@p181 @p179)) % 150.63/151.01 (step @p183 :rule beta-reduce :args ((= (_ @t137 @t187) @t189))) % 150.63/151.01 (step @p184 :rule trans :premises (@p183 @p182)) % 150.63/151.01 (step @p185 :rule refl :args (@t183)) % 150.63/151.01 (step @p186 :rule refl :args (@t190)) % 150.63/151.01 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t190 @t183))) % 150.63/151.01 (step @p188 :rule symm :premises (@p187)) % 150.63/151.01 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 150.63/151.01 (step @p190 :rule nary_cong :premises (@p79 @p189) :args (@t191)) % 150.63/151.01 (step @p191 :rule cong :premises (@p190) :args ((forall @t78 @t191))) % 150.63/151.01 (step @p192 :rule refl :args (@t192)) % 150.63/151.01 (step @p193 :rule nary_cong :premises (@p84 @p192) :args (@t193)) % 150.63/151.01 (step @p194 :rule cong :premises (@p193) :args (@t194)) % 150.63/151.01 (step @p195 :rule trans :premises (@p194 @p191)) % 150.63/151.01 (step @p196 :rule cong :premises (@p195) :args (@t195)) % 150.63/151.01 (step @p197 :rule beta-reduce :args ((= (_ @t161 @t13) @t195))) % 150.63/151.01 (step @p198 :rule trans :premises (@p197 @p196)) % 150.63/151.01 (step @p199 :rule refl :args (@t13)) % 150.63/151.01 (step @p200 :rule ho_cong :premises (@p97 @p199)) % 150.63/151.01 (step @p201 :rule trans :premises (@p200 @p198)) % 150.63/151.01 (step @p202 :rule ho_cong :premises (@p106 @p201)) % 150.63/151.01 (step @p203 :rule trans :premises (@p202 @p184)) % 150.63/151.01 (step @p204 :rule ho_cong :premises (@p153 @p199)) % 150.63/151.01 (step @p205 :rule ho_cong :premises (@p173 @p204)) % 150.63/151.01 (step @p206 :rule trans :premises (@p205 @p203)) % 150.63/151.01 (step @p207 :rule trans :premises (@p206 @p178)) % 150.63/151.01 (step @p208 :rule eq_resolve :premises (@p6 @p207)) % 150.63/151.01 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t209 @t213))) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p210 :rule trust :premises () :args ((= @t229 (forall @t220 (or @t219 (_ @t120 (_ @t119 @t201 @t214) @t72) (not (_ @t120 @t215 @t72)) (not (forall @t218 (or (not (_ @t120 (_ @t122 @t217 @t72) @t216)) (_ @t120 @t215 @t216)))) (not (forall @t211 (or (not (_ @t120 (_ @t122 @t121 @t72) @t196)) (_ @t120 @t215 @t196))))))))) % 150.63/151.01 (step @p211 :rule quant-merge-prenex :args ((= (forall @t70 @t230) @t229))) % 150.63/151.01 (step @p212 :rule beta-reduce :args ((= @t232 @t230))) % 150.63/151.01 (step @p213 :rule cong :premises (@p212) :args (@t233)) % 150.63/151.01 (step @p214 :rule trans :premises (@p213 @p211)) % 150.63/151.01 (step @p215 :rule beta-reduce :args ((= (_ @t137 @t231) @t233))) % 150.63/151.01 (step @p216 :rule trans :premises (@p215 @p214)) % 150.63/151.01 (step @p217 :rule quant-merge-prenex :args ((= (forall @t58 @t235) @t230))) % 150.63/151.01 (step @p218 :rule beta-reduce :args ((= @t239 @t235))) % 150.63/151.01 (step @p219 :rule cong :premises (@p218) :args (@t240)) % 150.63/151.01 (step @p220 :rule trans :premises (@p219 @p217)) % 150.63/151.01 (step @p221 :rule cong :premises (@p220) :args (@t241)) % 150.63/151.01 (step @p222 :rule beta-reduce :args ((= (_ @t147 @t238) @t241))) % 150.63/151.01 (step @p223 :rule trans :premises (@p222 @p221)) % 150.63/151.01 (step @p224 :rule beta-reduce :args ((= (_ (lambda @t70 @t235) @t6) @t237))) % 150.63/151.01 (step @p225 :rule quant-merge-prenex :args ((= (forall @t243 @t242) @t235))) % 150.63/151.01 (step @p226 :rule beta-reduce :args ((= @t253 @t242))) % 150.63/151.01 (step @p227 :rule cong :premises (@p226) :args (@t254)) % 150.63/151.01 (step @p228 :rule trans :premises (@p227 @p225)) % 150.63/151.01 (step @p229 :rule cong :premises (@p228) :args (@t255)) % 150.63/151.01 (step @p230 :rule beta-reduce :args ((= (_ (lambda @t60 (forall @t243 (_ @t55 @t214 @t33))) @t252) @t255))) % 150.63/151.01 (step @p231 :rule trans :premises (@p230 @p229)) % 150.63/151.01 (step @p232 :rule refl :args (@t252)) % 150.63/151.01 (step @p233 :rule alpha_equiv :args (@t146 @t256 (@list @t214))) % 150.63/151.01 (step @p234 :rule cong :premises (@p233) :args (@t147)) % 150.63/151.01 (step @p235 :rule ho_cong :premises (@p234 @p232)) % 150.63/151.01 (step @p236 :rule trans :premises (@p235 @p231)) % 150.63/151.01 (step @p237 :rule beta-reduce :args ((= (_ (lambda @t70 (forall @t78 (or @t227 @t250 @t249 @t247 @t245))) @t6) @t251))) % 150.63/151.01 (step @p238 :rule refl :args (@t245)) % 150.63/151.01 (step @p239 :rule refl :args (@t247)) % 150.63/151.01 (step @p240 :rule refl :args (@t248)) % 150.63/151.01 (step @p241 :rule refl :args (@t257)) % 150.63/151.01 (step @p242 :rule cong :premises (@p241 @p240) :args ((= @t257 @t248))) % 150.63/151.01 (step @p243 :rule symm :premises (@p242)) % 150.63/151.01 (step @p244 :rule eq_resolve :premises (@p241 @p243)) % 150.63/151.01 (step @p245 :rule cong :premises (@p244) :args (@t258)) % 150.63/151.01 (step @p246 :rule refl :args (@t250)) % 150.63/151.01 (step @p247 :rule refl :args (@t259)) % 150.63/151.01 (step @p248 :rule cong :premises (@p247 @p246) :args ((= @t259 @t250))) % 150.63/151.01 (step @p249 :rule symm :premises (@p248)) % 150.63/151.01 (step @p250 :rule eq_resolve :premises (@p247 @p249)) % 150.63/151.01 (step @p251 :rule refl :args (@t227)) % 150.63/151.01 (step @p252 :rule nary_cong :premises (@p251 @p250 @p245 @p239 @p238) :args (@t260)) % 150.63/151.01 (step @p253 :rule cong :premises (@p252) :args ((forall @t78 @t260))) % 150.63/151.01 (step @p254 :rule aci_norm :args ((= (or @t227 @t261) @t260))) % 150.63/151.01 (step @p255 :rule beta-reduce :args ((= (_ (lambda @t154 (or @t29 @t262 (not (forall @t218 (or (not (tptp.a1 @t6 @t216)) @t246))) (not (forall @t211 (or (not (tptp.a2 @t6 @t196)) @t244))))) @t72) @t261))) % 150.63/151.01 (step @p256 :rule refl :args (@t72)) % 150.63/151.01 (step @p257 :rule alpha_equiv :args (@t263 @t264 (@list @t196))) % 150.63/151.01 (step @p258 :rule cong :premises (@p257) :args (@t265)) % 150.63/151.01 (step @p259 :rule alpha_equiv :args (@t266 @t264 (@list @t216))) % 150.63/151.01 (step @p260 :rule cong :premises (@p259) :args (@t267)) % 150.63/151.01 (step @p261 :rule refl :args (@t262)) % 150.63/151.01 (step @p262 :rule refl :args (@t29)) % 150.63/151.01 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p258) :args (@t268)) % 150.63/151.01 (step @p264 :rule cong :premises (@p263) :args (@t269)) % 150.63/151.01 (step @p265 :rule ho_cong :premises (@p264 @p256)) % 150.63/151.01 (step @p266 :rule trans :premises (@p265 @p255)) % 150.63/151.01 (step @p267 :rule refl :args (@t227)) % 150.63/151.01 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t270)) % 150.63/151.01 (step @p269 :rule trans :premises (@p268 @p254)) % 150.63/151.01 (step @p270 :rule cong :premises (@p269) :args (@t271)) % 150.63/151.01 (step @p271 :rule trans :premises (@p270 @p253)) % 150.63/151.01 (step @p272 :rule cong :premises (@p271) :args (@t272)) % 150.63/151.01 (step @p273 :rule beta-reduce :args ((= (_ @t273 @t269) @t272))) % 150.63/151.01 (step @p274 :rule trans :premises (@p273 @p272)) % 150.63/151.01 (step @p275 :rule beta-reduce :args ((= (_ (lambda @t163 @t274) @t21) @t269))) % 150.63/151.01 (step @p276 :rule refl :args (@t21)) % 150.63/151.01 (step @p277 :rule aci_norm :args ((= (or @t275 @t162) @t274))) % 150.63/151.01 (step @p278 :rule refl :args (@t162)) % 150.63/151.01 (step @p279 :rule bool-double-not-elim :args (@t275)) % 150.63/151.01 (step @p280 :rule beta-reduce :args ((= @t278 @t276))) % 150.63/151.01 (step @p281 :rule cong :premises (@p280) :args (@t279)) % 150.63/151.01 (step @p282 :rule trans :premises (@p281 @p279)) % 150.63/151.01 (step @p283 :rule nary_cong :premises (@p282 @p278) :args (@t280)) % 150.63/151.01 (step @p284 :rule trans :premises (@p283 @p277)) % 150.63/151.01 (step @p285 :rule cong :premises (@p284) :args (@t281)) % 150.63/151.01 (step @p286 :rule beta-reduce :args ((= (_ @t167 @t277) @t281))) % 150.63/151.01 (step @p287 :rule trans :premises (@p286 @p285)) % 150.63/151.01 (step @p288 :rule aci_norm :args ((= (or @t262 @t282) @t275))) % 150.63/151.01 (step @p289 :rule bool-double-not-elim :args (@t282)) % 150.63/151.01 (step @p290 :rule beta-reduce :args ((= @t285 @t283))) % 150.63/151.01 (step @p291 :rule cong :premises (@p290) :args (@t286)) % 150.63/151.01 (step @p292 :rule trans :premises (@p291 @p289)) % 150.63/151.01 (step @p293 :rule refl :args (@t262)) % 150.63/151.01 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t287)) % 150.63/151.01 (step @p295 :rule trans :premises (@p294 @p288)) % 150.63/151.01 (step @p296 :rule cong :premises (@p295) :args (@t288)) % 150.63/151.01 (step @p297 :rule cong :premises (@p296) :args (@t289)) % 150.63/151.01 (step @p298 :rule beta-reduce :args ((= (_ @t291 @t284) @t289))) % 150.63/151.01 (step @p299 :rule trans :premises (@p298 @p297)) % 150.63/151.01 (step @p300 :rule beta-reduce :args ((= @t293 @t263))) % 150.63/151.01 (step @p301 :rule cong :premises (@p300) :args (@t294)) % 150.63/151.01 (step @p302 :rule refl :args (@t267)) % 150.63/151.01 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t295)) % 150.63/151.01 (step @p304 :rule cong :premises (@p303) :args (@t296)) % 150.63/151.01 (step @p305 :rule cong :premises (@p304) :args (@t297)) % 150.63/151.01 (step @p306 :rule beta-reduce :args ((= (_ (lambda @t163 (not (or @t267 @t290))) @t292) @t297))) % 150.63/151.01 (step @p307 :rule trans :premises (@p306 @p305)) % 150.63/151.01 (step @p308 :rule nary_cong :premises (@p79 @p244) :args (@t298)) % 150.63/151.01 (step @p309 :rule cong :premises (@p308) :args ((forall @t78 @t298))) % 150.63/151.01 (step @p310 :rule refl :args (@t299)) % 150.63/151.01 (step @p311 :rule nary_cong :premises (@p84 @p310) :args (@t300)) % 150.63/151.01 (step @p312 :rule cong :premises (@p311) :args (@t301)) % 150.63/151.01 (step @p313 :rule trans :premises (@p312 @p309)) % 150.63/151.01 (step @p314 :rule cong :premises (@p313) :args (@t302)) % 150.63/151.01 (step @p315 :rule beta-reduce :args ((= (_ @t161 @t22) @t302))) % 150.63/151.01 (step @p316 :rule trans :premises (@p315 @p314)) % 150.63/151.01 (step @p317 :rule refl :args (@t22)) % 150.63/151.01 (step @p318 :rule ho_cong :premises (@p97 @p317)) % 150.63/151.01 (step @p319 :rule trans :premises (@p318 @p316)) % 150.63/151.01 (step @p320 :rule refl :args (@t290)) % 150.63/151.01 (step @p321 :rule beta-reduce :args ((= @t305 @t266))) % 150.63/151.01 (step @p322 :rule cong :premises (@p321) :args (@t306)) % 150.63/151.01 (step @p323 :rule nary_cong :premises (@p322 @p320) :args (@t307)) % 150.63/151.01 (step @p324 :rule cong :premises (@p323) :args (@t308)) % 150.63/151.01 (step @p325 :rule cong :premises (@p324) :args (@t309)) % 150.63/151.01 (step @p326 :rule beta-reduce :args ((= (_ @t311 @t304) @t309))) % 150.63/151.01 (step @p327 :rule trans :premises (@p326 @p325)) % 150.63/151.01 (step @p328 :rule refl :args (@t303)) % 150.63/151.01 (step @p329 :rule nary_cong :premises (@p328 @p244) :args (@t312)) % 150.63/151.01 (step @p330 :rule cong :premises (@p329) :args ((forall @t78 @t312))) % 150.63/151.01 (step @p331 :rule refl :args (@t303)) % 150.63/151.01 (step @p332 :rule nary_cong :premises (@p331 @p310) :args (@t313)) % 150.63/151.01 (step @p333 :rule cong :premises (@p332) :args (@t314)) % 150.63/151.01 (step @p334 :rule trans :premises (@p333 @p330)) % 150.63/151.01 (step @p335 :rule cong :premises (@p334) :args (@t315)) % 150.63/151.01 (step @p336 :rule beta-reduce :args ((= (_ @t316 @t22) @t315))) % 150.63/151.01 (step @p337 :rule trans :premises (@p336 @p335)) % 150.63/151.01 (step @p338 :rule beta-reduce :args ((= @t317 @t316))) % 150.63/151.01 (step @p339 :rule ho_cong :premises (@p338 @p317)) % 150.63/151.01 (step @p340 :rule trans :premises (@p339 @p337)) % 150.63/151.01 (step @p341 :rule refl :args (@t311)) % 150.63/151.01 (step @p342 :rule ho_cong :premises (@p341 @p340)) % 150.63/151.01 (step @p343 :rule trans :premises (@p342 @p327)) % 150.63/151.01 (step @p344 :rule ho_cong :premises (@p343 @p319)) % 150.63/151.01 (step @p345 :rule trans :premises (@p344 @p307)) % 150.63/151.01 (step @p346 :rule beta-reduce :args ((= @t318 @t291))) % 150.63/151.01 (step @p347 :rule ho_cong :premises (@p346 @p345)) % 150.63/151.01 (step @p348 :rule trans :premises (@p347 @p299)) % 150.63/151.01 (step @p349 :rule refl :args (@t167)) % 150.63/151.01 (step @p350 :rule ho_cong :premises (@p349 @p348)) % 150.63/151.01 (step @p351 :rule trans :premises (@p350 @p287)) % 150.63/151.01 (step @p352 :rule ho_cong :premises (@p351 @p276)) % 150.63/151.01 (step @p353 :rule trans :premises (@p352 @p275)) % 150.63/151.01 (step @p354 :rule beta-reduce :args ((= @t319 @t273))) % 150.63/151.01 (step @p355 :rule ho_cong :premises (@p354 @p353)) % 150.63/151.01 (step @p356 :rule trans :premises (@p355 @p274)) % 150.63/151.01 (step @p357 :rule ho_cong :premises (@p356 @p67)) % 150.63/151.01 (step @p358 :rule trans :premises (@p357 @p237)) % 150.63/151.01 (step @p359 :rule cong :premises (@p358) :args (@t320)) % 150.63/151.01 (step @p360 :rule ho_cong :premises (@p103 @p359)) % 150.63/151.01 (step @p361 :rule trans :premises (@p360 @p236)) % 150.63/151.01 (step @p362 :rule ho_cong :premises (@p361 @p67)) % 150.63/151.01 (step @p363 :rule trans :premises (@p362 @p224)) % 150.63/151.01 (step @p364 :rule cong :premises (@p363) :args ((lambda @t12 (_ (_ @t147 @t320) @t6)))) % 150.63/151.01 (step @p365 :rule ho_cong :premises (@p103 @p364)) % 150.63/151.01 (step @p366 :rule trans :premises (@p365 @p223)) % 150.63/151.01 (step @p367 :rule ho_cong :premises (@p106 @p366)) % 150.63/151.01 (step @p368 :rule trans :premises (@p367 @p216)) % 150.63/151.01 (step @p369 :rule ho_cong :premises (@p153 @p317)) % 150.63/151.01 (step @p370 :rule refl :args (tptp.a1)) % 150.63/151.01 (step @p371 :rule ho_cong :premises (@p152 @p370)) % 150.63/151.01 (step @p372 :rule ho_cong :premises (@p371 @p317)) % 150.63/151.01 (step @p373 :rule beta-reduce :args ((= (_ (lambda @t70 (not @t322)) @t6) @t310))) % 150.63/151.01 (step @p374 :rule beta-reduce :args ((= @t324 @t322))) % 150.63/151.01 (step @p375 :rule cong :premises (@p374) :args (@t325)) % 150.63/151.01 (step @p376 :rule cong :premises (@p375) :args (@t326)) % 150.63/151.01 (step @p377 :rule beta-reduce :args ((= (_ @t42 @t323) @t326))) % 150.63/151.01 (step @p378 :rule trans :premises (@p377 @p376)) % 150.63/151.01 (step @p379 :rule beta-reduce :args ((= @t328 @t321))) % 150.63/151.01 (step @p380 :rule refl :args (@t40)) % 150.63/151.01 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t329)) % 150.63/151.01 (step @p382 :rule cong :premises (@p381) :args (@t330)) % 150.63/151.01 (step @p383 :rule beta-reduce :args ((= (_ @t175 @t327) @t330))) % 150.63/151.01 (step @p384 :rule trans :premises (@p383 @p382)) % 150.63/151.01 (step @p385 :rule beta-reduce :args ((= (_ @t42 @t43) @t327))) % 150.63/151.01 (step @p386 :rule ho_cong :premises (@p122 @p385)) % 150.63/151.01 (step @p387 :rule trans :premises (@p386 @p384)) % 150.63/151.01 (step @p388 :rule refl :args (@t42)) % 150.63/151.01 (step @p389 :rule ho_cong :premises (@p388 @p387)) % 150.63/151.01 (step @p390 :rule trans :premises (@p389 @p378)) % 150.63/151.01 (step @p391 :rule ho_cong :premises (@p390 @p67)) % 150.63/151.01 (step @p392 :rule trans :premises (@p391 @p373)) % 150.63/151.01 (step @p393 :rule ho_cong :premises (@p24 @p112)) % 150.63/151.01 (step @p394 :rule ho_cong :premises (@p129 @p393)) % 150.63/151.01 (step @p395 :rule ho_cong :premises (@p24 @p394)) % 150.63/151.01 (step @p396 :rule ho_cong :premises (@p395 @p67)) % 150.63/151.01 (step @p397 :rule trans :premises (@p396 @p392)) % 150.63/151.01 (step @p398 :rule cong :premises (@p397) :args (@t50)) % 150.63/151.01 (step @p399 :rule trans :premises (@p26 @p398)) % 150.63/151.01 (step @p400 :rule ho_cong :premises (@p399 @p372)) % 150.63/151.01 (step @p401 :rule ho_cong :premises (@p400 @p369)) % 150.63/151.01 (step @p402 :rule ho_cong :premises (@p399 @p317)) % 150.63/151.01 (step @p403 :rule ho_cong :premises (@p402 @p401)) % 150.63/151.01 (step @p404 :rule ho_cong :premises (@p134 @p403)) % 150.63/151.01 (step @p405 :rule ho_cong :premises (@p404 @p276)) % 150.63/151.01 (step @p406 :rule refl :args (tptp.a3)) % 150.63/151.01 (step @p407 :rule ho_cong :premises (@p152 @p406)) % 150.63/151.01 (step @p408 :rule ho_cong :premises (@p407 @p405)) % 150.63/151.01 (step @p409 :rule ho_cong :premises (@p408 @p67)) % 150.63/151.01 (step @p410 :rule cong :premises (@p409) :args (@t24)) % 150.63/151.01 (step @p411 :rule ho_cong :premises (@p164 @p410)) % 150.63/151.01 (step @p412 :rule ho_cong :premises (@p411 @p67)) % 150.63/151.01 (step @p413 :rule cong :premises (@p412) :args (@t25)) % 150.63/151.01 (step @p414 :rule ho_cong :premises (@p164 @p413)) % 150.63/151.01 (step @p415 :rule ho_cong :premises (@p173 @p414)) % 150.63/151.01 (step @p416 :rule trans :premises (@p415 @p368)) % 150.63/151.01 (step @p417 :rule trans :premises (@p416 @p210)) % 150.63/151.01 (step @p418 :rule eq_resolve :premises (@p14 @p417)) % 150.63/151.01 (step @p419 :rule instantiate :premises (@p418) :args ((@list @t205 tptp.jan tptp.cola @t209))) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p420 :rule trust :premises () :args ((= @t334 (forall @t182 (or (not (_ @t120 (_ @t122 @t217 @t33) @t72)) @t331))))) % 150.63/151.01 (step @p421 :rule quant-merge-prenex :args ((= (forall @t70 @t335) @t334))) % 150.63/151.01 (step @p422 :rule beta-reduce :args ((= @t337 @t335))) % 150.63/151.01 (step @p423 :rule cong :premises (@p422) :args (@t338)) % 150.63/151.01 (step @p424 :rule trans :premises (@p423 @p421)) % 150.63/151.01 (step @p425 :rule beta-reduce :args ((= (_ @t137 @t336) @t338))) % 150.63/151.01 (step @p426 :rule trans :premises (@p425 @p424)) % 150.63/151.01 (step @p427 :rule refl :args (@t332)) % 150.63/151.01 (step @p428 :rule refl :args (@t339)) % 150.63/151.01 (step @p429 :rule cong :premises (@p428 @p427) :args ((= @t339 @t332))) % 150.63/151.01 (step @p430 :rule symm :premises (@p429)) % 150.63/151.01 (step @p431 :rule eq_resolve :premises (@p428 @p430)) % 150.63/151.01 (step @p432 :rule nary_cong :premises (@p328 @p431) :args (@t340)) % 150.63/151.01 (step @p433 :rule cong :premises (@p432) :args ((forall @t78 @t340))) % 150.63/151.01 (step @p434 :rule refl :args (@t341)) % 150.63/151.01 (step @p435 :rule nary_cong :premises (@p331 @p434) :args (@t342)) % 150.63/151.01 (step @p436 :rule cong :premises (@p435) :args (@t343)) % 150.63/151.01 (step @p437 :rule trans :premises (@p436 @p433)) % 150.63/151.01 (step @p438 :rule cong :premises (@p437) :args (@t344)) % 150.63/151.01 (step @p439 :rule beta-reduce :args ((= (_ @t316 @t2) @t344))) % 150.63/151.01 (step @p440 :rule trans :premises (@p439 @p438)) % 150.63/151.01 (step @p441 :rule refl :args (@t2)) % 150.63/151.01 (step @p442 :rule ho_cong :premises (@p338 @p441)) % 150.63/151.01 (step @p443 :rule trans :premises (@p442 @p440)) % 150.63/151.01 (step @p444 :rule ho_cong :premises (@p106 @p443)) % 150.63/151.01 (step @p445 :rule trans :premises (@p444 @p426)) % 150.63/151.01 (step @p446 :rule ho_cong :premises (@p371 @p441)) % 150.63/151.01 (step @p447 :rule ho_cong :premises (@p173 @p446)) % 150.63/151.01 (step @p448 :rule trans :premises (@p447 @p445)) % 150.63/151.01 (step @p449 :rule trans :premises (@p448 @p420)) % 150.63/151.01 (step @p450 :rule eq_resolve :premises (@p2 @p449)) % 150.63/151.01 (step @p451 :rule instantiate :premises (@p450) :args ((@list @t209 @t347))) % 150.63/151.01 (step @p452 :rule refl :args (@t349)) % 150.63/151.01 (step @p453 :rule bool-double-not-elim :args (@t346)) % 150.63/151.01 (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or (not @t350) @t349))) % 150.63/151.01 (assume-push @p727 @t350) % 150.63/151.01 (step @p456 :rule skolemize :premises (@p727)) % 150.63/151.01 (step-pop @p728 :rule scope :premises (@p456)) % 150.63/151.01 (step @p457 :rule process_scope :premises (@p728) :args (@t349)) % 150.63/151.01 (step @p459 :rule implies_elim :premises (@p457)) % 150.63/151.01 (step @p460 :rule eq_resolve :premises (@p459 @p454)) % 150.63/151.01 (step @p461 :rule chain_m_resolution :premises (@p460 @p451) :args (@t346 (@list false) (@list @t348))) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p462 :rule trust :premises () :args ((= @t352 (forall @t182 (or @t219 @t331))))) % 150.63/151.01 (step @p463 :rule quant-merge-prenex :args ((= (forall @t70 @t353) @t352))) % 150.63/151.01 (step @p464 :rule beta-reduce :args ((= @t355 @t353))) % 150.63/151.01 (step @p465 :rule cong :premises (@p464) :args (@t356)) % 150.63/151.01 (step @p466 :rule trans :premises (@p465 @p463)) % 150.63/151.01 (step @p467 :rule beta-reduce :args ((= (_ @t137 @t354) @t356))) % 150.63/151.01 (step @p468 :rule trans :premises (@p467 @p466)) % 150.63/151.01 (step @p469 :rule nary_cong :premises (@p251 @p431) :args (@t357)) % 150.63/151.01 (step @p470 :rule cong :premises (@p469) :args ((forall @t78 @t357))) % 150.63/151.01 (step @p471 :rule nary_cong :premises (@p267 @p434) :args (@t358)) % 150.63/151.01 (step @p472 :rule cong :premises (@p471) :args (@t359)) % 150.63/151.01 (step @p473 :rule trans :premises (@p472 @p470)) % 150.63/151.01 (step @p474 :rule cong :premises (@p473) :args (@t360)) % 150.63/151.01 (step @p475 :rule beta-reduce :args ((= (_ @t273 @t2) @t360))) % 150.63/151.01 (step @p476 :rule trans :premises (@p475 @p474)) % 150.63/151.01 (step @p477 :rule ho_cong :premises (@p354 @p441)) % 150.63/151.01 (step @p478 :rule trans :premises (@p477 @p476)) % 150.63/151.01 (step @p479 :rule ho_cong :premises (@p106 @p478)) % 150.63/151.01 (step @p480 :rule trans :premises (@p479 @p468)) % 150.63/151.01 (step @p481 :rule ho_cong :premises (@p407 @p441)) % 150.63/151.01 (step @p482 :rule ho_cong :premises (@p173 @p481)) % 150.63/151.01 (step @p483 :rule trans :premises (@p482 @p480)) % 150.63/151.01 (step @p484 :rule trans :premises (@p483 @p462)) % 150.63/151.01 (step @p485 :rule eq_resolve :premises (@p11 @p484)) % 150.63/151.01 (step @p486 :rule instantiate :premises (@p485) :args ((@list @t205 @t209))) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p487 :rule trust :premises () :args ((= @t368 (forall @t363 (or (not (forall @t78 (or @t219 (_ @t120 @t362 @t72)))) (_ @t120 @t362 @t33)))))) % 150.63/151.01 (step @p488 :rule quant-merge-prenex :args ((= (forall @t70 @t369) @t368))) % 150.63/151.01 (step @p489 :rule beta-reduce :args ((= @t371 @t369))) % 150.63/151.01 (step @p490 :rule cong :premises (@p489) :args (@t372)) % 150.63/151.01 (step @p491 :rule trans :premises (@p490 @p488)) % 150.63/151.01 (step @p492 :rule beta-reduce :args ((= (_ @t137 @t370) @t372))) % 150.63/151.01 (step @p493 :rule trans :premises (@p492 @p491)) % 150.63/151.01 (step @p494 :rule quant-merge-prenex :args ((= (forall @t58 @t374) @t369))) % 150.63/151.01 (step @p495 :rule beta-reduce :args ((= @t377 @t374))) % 150.63/151.01 (step @p496 :rule cong :premises (@p495) :args (@t378)) % 150.63/151.01 (step @p497 :rule trans :premises (@p496 @p494)) % 150.63/151.01 (step @p498 :rule cong :premises (@p497) :args (@t379)) % 150.63/151.01 (step @p499 :rule beta-reduce :args ((= (_ @t147 @t376) @t379))) % 150.63/151.01 (step @p500 :rule trans :premises (@p499 @p498)) % 150.63/151.01 (step @p501 :rule beta-reduce :args ((= (_ (lambda @t70 @t374) @t6) @t375))) % 150.63/151.01 (step @p502 :rule refl :args (@t364)) % 150.63/151.01 (step @p503 :rule refl :args (@t380)) % 150.63/151.01 (step @p504 :rule cong :premises (@p503 @p502) :args ((= @t380 @t364))) % 150.63/151.01 (step @p505 :rule symm :premises (@p504)) % 150.63/151.01 (step @p506 :rule eq_resolve :premises (@p503 @p505)) % 150.63/151.01 (step @p507 :rule refl :args (@t366)) % 150.63/151.01 (step @p508 :rule nary_cong :premises (@p507 @p506) :args (@t381)) % 150.63/151.01 (step @p509 :rule cong :premises (@p508) :args ((forall @t373 @t381))) % 150.63/151.01 (step @p510 :rule beta-reduce :args ((= @t386 @t381))) % 150.63/151.01 (step @p511 :rule cong :premises (@p510) :args (@t387)) % 150.63/151.01 (step @p512 :rule trans :premises (@p511 @p509)) % 150.63/151.01 (step @p513 :rule cong :premises (@p512) :args (@t388)) % 150.63/151.01 (step @p514 :rule beta-reduce :args ((= (_ (lambda @t60 (forall @t373 (_ @t55 @t361 @t33))) @t385) @t388))) % 150.63/151.01 (step @p515 :rule trans :premises (@p514 @p513)) % 150.63/151.01 (step @p516 :rule refl :args (@t385)) % 150.63/151.01 (step @p517 :rule alpha_equiv :args (@t146 @t256 (@list @t361))) % 150.63/151.01 (step @p518 :rule cong :premises (@p517) :args (@t147)) % 150.63/151.01 (step @p519 :rule ho_cong :premises (@p518 @p516)) % 150.63/151.01 (step @p520 :rule trans :premises (@p519 @p515)) % 150.63/151.01 (step @p521 :rule beta-reduce :args ((= (_ @t389 @t6) @t384))) % 150.63/151.01 (step @p522 :rule beta-reduce :args ((= (_ (lambda @t163 (or @t383 @t162)) @t21) @t389))) % 150.63/151.01 (step @p523 :rule beta-reduce :args ((= @t391 @t382))) % 150.63/151.01 (step @p524 :rule cong :premises (@p523) :args (@t392)) % 150.63/151.01 (step @p525 :rule nary_cong :premises (@p524 @p278) :args (@t393)) % 150.63/151.01 (step @p526 :rule cong :premises (@p525) :args (@t394)) % 150.63/151.01 (step @p527 :rule beta-reduce :args ((= (_ @t167 @t390) @t394))) % 150.63/151.01 (step @p528 :rule trans :premises (@p527 @p526)) % 150.63/151.01 (step @p529 :rule nary_cong :premises (@p251 @p250) :args (@t395)) % 150.63/151.01 (step @p530 :rule cong :premises (@p529) :args ((forall @t78 @t395))) % 150.63/151.01 (step @p531 :rule refl :args (@t396)) % 150.63/151.01 (step @p532 :rule nary_cong :premises (@p267 @p531) :args (@t397)) % 150.63/151.01 (step @p533 :rule cong :premises (@p532) :args (@t398)) % 150.63/151.01 (step @p534 :rule trans :premises (@p533 @p530)) % 150.63/151.01 (step @p535 :rule cong :premises (@p534) :args (@t399)) % 150.63/151.01 (step @p536 :rule beta-reduce :args ((= (_ @t273 @t21) @t399))) % 150.63/151.01 (step @p537 :rule trans :premises (@p536 @p535)) % 150.63/151.01 (step @p538 :rule ho_cong :premises (@p354 @p276)) % 150.63/151.01 (step @p539 :rule trans :premises (@p538 @p537)) % 150.63/151.01 (step @p540 :rule ho_cong :premises (@p349 @p539)) % 150.63/151.01 (step @p541 :rule trans :premises (@p540 @p528)) % 150.63/151.01 (step @p542 :rule ho_cong :premises (@p541 @p276)) % 150.63/151.01 (step @p543 :rule trans :premises (@p542 @p522)) % 150.63/151.01 (step @p544 :rule ho_cong :premises (@p543 @p67)) % 150.63/151.01 (step @p545 :rule trans :premises (@p544 @p521)) % 150.63/151.01 (step @p546 :rule cong :premises (@p545) :args (@t400)) % 150.63/151.01 (step @p547 :rule ho_cong :premises (@p103 @p546)) % 150.63/151.01 (step @p548 :rule trans :premises (@p547 @p520)) % 150.63/151.01 (step @p549 :rule ho_cong :premises (@p548 @p67)) % 150.63/151.01 (step @p550 :rule trans :premises (@p549 @p501)) % 150.63/151.01 (step @p551 :rule cong :premises (@p550) :args ((lambda @t12 (_ (_ @t147 @t400) @t6)))) % 150.63/151.01 (step @p552 :rule ho_cong :premises (@p103 @p551)) % 150.63/151.01 (step @p553 :rule trans :premises (@p552 @p500)) % 150.63/151.01 (step @p554 :rule ho_cong :premises (@p106 @p553)) % 150.63/151.01 (step @p555 :rule trans :premises (@p554 @p493)) % 150.63/151.01 (step @p556 :rule ho_cong :premises (@p407 @p276)) % 150.63/151.01 (step @p557 :rule ho_cong :premises (@p134 @p556)) % 150.63/151.01 (step @p558 :rule ho_cong :premises (@p557 @p276)) % 150.63/151.01 (step @p559 :rule ho_cong :premises (@p558 @p67)) % 150.63/151.01 (step @p560 :rule cong :premises (@p559) :args (@t26)) % 150.63/151.01 (step @p561 :rule ho_cong :premises (@p164 @p560)) % 150.63/151.01 (step @p562 :rule ho_cong :premises (@p561 @p67)) % 150.63/151.01 (step @p563 :rule cong :premises (@p562) :args (@t27)) % 150.63/151.01 (step @p564 :rule ho_cong :premises (@p164 @p563)) % 150.63/151.01 (step @p565 :rule ho_cong :premises (@p173 @p564)) % 150.63/151.01 (step @p566 :rule trans :premises (@p565 @p555)) % 150.63/151.01 (step @p567 :rule trans :premises (@p566 @p487)) % 150.63/151.01 (step @p568 :rule eq_resolve :premises (@p15 @p567)) % 150.63/151.01 (step @p569 :rule instantiate :premises (@p568) :args ((@list @t205 tptp.jan tptp.cola))) % 150.63/151.01 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/151.01 (step @p570 :rule trust :premises () :args ((= (not (forall @t70 @t402)) @t401))) % 150.63/151.01 (step @p571 :rule beta-reduce :args ((= @t407 @t402))) % 150.63/151.01 (step @p572 :rule cong :premises (@p571) :args (@t408)) % 150.63/151.01 (step @p573 :rule beta-reduce :args ((= (_ @t137 @t406) @t408))) % 150.63/151.01 (step @p574 :rule trans :premises (@p573 @p572)) % 150.63/151.01 (step @p575 :rule quant-merge-prenex :args ((= (forall @t58 @t410) @t405))) % 150.63/151.01 (step @p576 :rule bool-double-not-elim :args (@t410)) % 150.63/151.01 (step @p577 :rule beta-reduce :args ((= @t413 @t411))) % 150.63/151.01 (step @p578 :rule cong :premises (@p577) :args (@t414)) % 150.63/151.01 (step @p579 :rule trans :premises (@p578 @p576)) % 150.63/151.01 (step @p580 :rule cong :premises (@p579) :args (@t415)) % 150.63/151.01 (step @p581 :rule trans :premises (@p580 @p575)) % 150.63/151.01 (step @p582 :rule cong :premises (@p581) :args (@t416)) % 150.63/151.01 (step @p583 :rule cong :premises (@p582) :args (@t417)) % 150.63/151.01 (step @p584 :rule beta-reduce :args ((= (_ @t420 @t412) @t417))) % 150.63/151.01 (step @p585 :rule trans :premises (@p584 @p583)) % 150.63/151.01 (step @p586 :rule beta-reduce :args ((= (_ (lambda @t154 @t411) @t6) @t411))) % 150.63/151.01 (step @p587 :rule refl :args (@t403)) % 150.63/151.01 (step @p588 :rule refl :args (@t421)) % 150.63/151.01 (step @p589 :rule cong :premises (@p588 @p587) :args ((= @t421 @t403))) % 150.63/151.01 (step @p590 :rule symm :premises (@p589)) % 150.63/151.01 (step @p591 :rule eq_resolve :premises (@p588 @p590)) % 150.63/151.01 (step @p592 :rule cong :premises (@p591) :args (@t422)) % 150.63/151.01 (step @p593 :rule cong :premises (@p592) :args ((forall @t409 @t422))) % 150.63/151.01 (step @p594 :rule beta-reduce :args ((= @t423 @t421))) % 150.63/151.01 (step @p595 :rule cong :premises (@p594) :args (@t424)) % 150.63/151.01 (step @p596 :rule cong :premises (@p595) :args (@t425)) % 150.63/151.01 (step @p597 :rule trans :premises (@p596 @p593)) % 150.63/151.01 (step @p598 :rule cong :premises (@p597) :args (@t426)) % 150.63/151.01 (step @p599 :rule cong :premises (@p598) :args (@t427)) % 150.63/151.01 (step @p600 :rule beta-reduce :args ((= (_ (lambda @t67 (not (forall @t409 (not (_ @t55 @t200 @t6))))) @t30) @t427))) % 150.63/151.01 (step @p601 :rule trans :premises (@p600 @p599)) % 150.63/151.01 (step @p602 :rule refl :args (@t30)) % 150.63/151.01 (step @p603 :rule alpha_equiv :args (@t418 @t256 (@list @t200))) % 150.63/151.01 (step @p604 :rule cong :premises (@p603) :args (@t419)) % 150.63/151.01 (step @p605 :rule cong :premises (@p604) :args (@t420)) % 150.63/151.01 (step @p606 :rule ho_cong :premises (@p605 @p602)) % 150.63/151.01 (step @p607 :rule trans :premises (@p606 @p601)) % 150.63/151.01 (step @p608 :rule ho_cong :premises (@p607 @p67)) % 150.63/151.01 (step @p609 :rule trans :premises (@p608 @p586)) % 150.63/151.01 (step @p610 :rule cong :premises (@p609) :args (@t428)) % 150.63/151.01 (step @p611 :rule refl :args (@t420)) % 150.63/151.01 (step @p612 :rule ho_cong :premises (@p611 @p610)) % 150.63/151.01 (step @p613 :rule trans :premises (@p612 @p585)) % 150.63/151.01 (step @p614 :rule ho_cong :premises (@p106 @p613)) % 150.63/151.01 (step @p615 :rule trans :premises (@p614 @p574)) % 150.63/151.01 (step @p616 :rule cong :premises (@p615) :args ((not (_ @t137 (_ @t420 @t428))))) % 150.63/151.01 (step @p617 :rule refl :args (@t30)) % 150.63/151.01 (step @p618 :rule beta-reduce :args ((= (_ (lambda @t70 (not @t429)) @t6) @t419))) % 150.63/151.01 (step @p619 :rule beta-reduce :args ((= @t431 @t429))) % 150.63/151.01 (step @p620 :rule cong :premises (@p619) :args (@t432)) % 150.63/151.01 (step @p621 :rule cong :premises (@p620) :args (@t433)) % 150.63/151.01 (step @p622 :rule beta-reduce :args ((= (_ @t42 @t430) @t433))) % 150.63/151.01 (step @p623 :rule trans :premises (@p622 @p621)) % 150.63/151.01 (step @p624 :rule cong :premises (@p161) :args (@t434)) % 150.63/151.01 (step @p625 :rule cong :premises (@p624) :args ((forall @t58 @t434))) % 150.63/151.01 (step @p626 :rule beta-reduce :args ((= @t437 @t434))) % 150.63/151.01 (step @p627 :rule cong :premises (@p626) :args (@t438)) % 150.63/151.01 (step @p628 :rule trans :premises (@p627 @p625)) % 150.63/151.01 (step @p629 :rule cong :premises (@p628) :args (@t439)) % 150.63/151.01 (step @p630 :rule beta-reduce :args ((= (_ @t147 @t436) @t439))) % 150.63/151.01 (step @p631 :rule trans :premises (@p630 @p629)) % 150.63/151.01 (step @p632 :rule beta-reduce :args ((= (_ @t440 @t6) @t435))) % 150.63/151.01 (step @p633 :rule beta-reduce :args ((= @t441 @t440))) % 150.63/151.01 (step @p634 :rule ho_cong :premises (@p633 @p67)) % 150.63/151.01 (step @p635 :rule trans :premises (@p634 @p632)) % 150.63/151.01 (step @p636 :rule cong :premises (@p635) :args ((lambda @t12 (_ @t441 @t6)))) % 150.63/151.01 (step @p637 :rule ho_cong :premises (@p103 @p636)) % 150.63/151.01 (step @p638 :rule trans :premises (@p637 @p631)) % 150.63/151.01 (step @p639 :rule ho_cong :premises (@p388 @p638)) % 150.63/151.01 (step @p640 :rule trans :premises (@p639 @p623)) % 150.63/151.01 (step @p641 :rule ho_cong :premises (@p640 @p67)) % 150.63/151.01 (step @p642 :rule trans :premises (@p641 @p618)) % 150.63/151.01 (step @p643 :rule refl :args (@t56)) % 150.63/151.01 (step @p644 :rule ho_cong :premises (@p24 @p643)) % 150.63/151.01 (step @p645 :rule ho_cong :premises (@p644 @p67)) % 150.63/151.01 (step @p646 :rule cong :premises (@p645) :args (@t66)) % 150.63/151.01 (step @p647 :rule ho_cong :premises (@p164 @p646)) % 150.63/151.01 (step @p648 :rule ho_cong :premises (@p24 @p647)) % 150.63/151.01 (step @p649 :rule ho_cong :premises (@p648 @p67)) % 150.63/151.01 (step @p650 :rule trans :premises (@p649 @p642)) % 150.63/151.01 (step @p651 :rule cong :premises (@p650) :args (@t68)) % 150.63/151.01 (step @p652 :rule trans :premises (@p33 @p651)) % 150.63/151.01 (step @p653 :rule ho_cong :premises (@p652 @p617)) % 150.63/151.01 (step @p654 :rule ho_cong :premises (@p653 @p67)) % 150.63/151.01 (step @p655 :rule cong :premises (@p654) :args (@t31)) % 150.63/151.01 (step @p656 :rule ho_cong :premises (@p652 @p655)) % 150.63/151.01 (step @p657 :rule ho_cong :premises (@p173 @p656)) % 150.63/151.01 (step @p658 :rule cong :premises (@p657) :args (@t32)) % 150.63/151.01 (step @p659 :rule trans :premises (@p658 @p616)) % 150.63/151.01 (step @p660 :rule trans :premises (@p659 @p570)) % 150.63/151.01 (step @p661 :rule eq_resolve :premises (@p20 @p660)) % 150.63/151.01 (step @p662 :rule refl :args (@t442)) % 150.63/151.01 (step @p663 :rule bool-double-not-elim :args (@t204)) % 150.63/151.01 (step @p664 :rule nary_cong :premises (@p663 @p662) :args ((or (not @t401) @t442))) % 150.63/151.01 (step @p665 :rule bool-double-not-elim :args (@t442)) % 150.63/151.01 (step @p666 :rule refl :args (@t401)) % 150.63/151.01 (step @p667 :rule cong :premises (@p666 @p665) :args ((=> @t401 @t443))) % 150.63/151.01 (assume-push @p729 @t401) % 150.63/151.01 (step @p669 :rule skolemize :premises (@p661)) % 150.63/151.01 (step-pop @p730 :rule scope :premises (@p669)) % 150.63/151.01 (step @p670 :rule process_scope :premises (@p730) :args (@t443)) % 150.63/151.01 (step @p672 :rule eq_resolve :premises (@p670 @p667)) % 150.63/151.01 (step @p673 :rule implies_elim :premises (@p672)) % 150.63/151.01 (step @p674 :rule eq_resolve :premises (@p673 @p664)) % 150.63/151.01 (step @p675 :rule chain_m_resolution :premises (@p674 @p661) :args (@t442 @t444 (@list @t204))) % 150.63/151.01 (step @p676 :rule instantiate :premises (@p675) :args ((@list tptp.jan tptp.cola))) % 150.63/151.01 (step @p677 :rule cnf_or_pos :args (@t447)) % 150.63/151.01 (step @p678 :rule reordering :premises (@p677) :args ((or @t445 @t446 (not @t447)))) % 150.63/151.01 (step @p679 :rule chain_m_resolution :premises (@p678 @p676 @p569) :args (@t446 @t448 (@list @t445 @t447))) % 150.63/151.01 (step @p680 :rule skolemize :premises (@p679)) % 150.63/151.01 (step @p681 :rule bool-double-not-elim :args (@t449)) % 150.63/151.01 (step @p682 :rule refl :args (@t452)) % 150.63/151.01 (step @p683 :rule nary_cong :premises (@p682 @p681) :args ((or @t452 (not @t451)))) % 150.63/151.01 (step @p684 :rule cnf_or_neg :args (@t452 0)) % 150.63/151.01 (step @p685 :rule eq_resolve :premises (@p684 @p683)) % 150.63/151.01 (step @p686 :rule reordering :premises (@p685) :args ((or @t449 @t452))) % 150.63/151.01 (step @p687 :rule chain_m_resolution :premises (@p686 @p680) :args (@t449 @t444 @t453)) % 150.63/151.01 (step @p688 :rule cnf_or_pos :args (@t455)) % 150.63/151.01 (step @p689 :rule reordering :premises (@p688) :args ((or @t451 @t454 (not @t455)))) % 150.63/151.01 (step @p690 :rule chain_m_resolution :premises (@p689 @p687 @p486) :args (@t454 @t456 (@list @t449 @t455))) % 150.63/151.01 (step @p691 :rule cnf_or_neg :args (@t452 1)) % 150.63/151.01 (step @p692 :rule chain_m_resolution :premises (@p691 @p680) :args ((not @t450) @t444 @t453)) % 150.63/151.01 (step @p693 :rule cnf_or_pos :args (@t459)) % 150.63/151.01 (step @p694 :rule reordering :premises (@p693) :args ((or @t451 @t450 @t458 @t350 @t457 (not @t459)))) % 150.63/151.01 (step @p695 :rule chain_m_resolution :premises (@p694 @p687 @p692 @p690 @p461 @p419) :args (@t457 (@list false true false false false) (@list @t449 @t450 @t454 @t346 @t459))) % 150.63/151.01 (step @p696 :rule refl :args (@t464)) % 150.63/151.01 (step @p697 :rule bool-double-not-elim :args (@t212)) % 150.63/151.01 (step @p698 :rule nary_cong :premises (@p697 @p696) :args ((or (not @t457) @t464))) % 150.63/151.01 (assume-push @p731 @t457) % 150.63/151.01 (step @p700 :rule skolemize :premises (@p731)) % 150.63/151.01 (step-pop @p732 :rule scope :premises (@p700)) % 150.63/151.01 (step @p701 :rule process_scope :premises (@p732) :args (@t464)) % 150.63/151.01 (step @p703 :rule implies_elim :premises (@p701)) % 150.63/151.01 (step @p704 :rule eq_resolve :premises (@p703 @p698)) % 150.63/151.01 (step @p705 :rule chain_m_resolution :premises (@p704 @p695) :args (@t464 @t444 (@list @t212))) % 150.63/151.01 (step @p706 :rule bool-double-not-elim :args (@t461)) % 150.63/151.01 (step @p707 :rule refl :args (@t463)) % 150.63/151.01 (step @p708 :rule nary_cong :premises (@p707 @p706) :args ((or @t463 (not @t462)))) % 150.63/151.01 (step @p709 :rule cnf_or_neg :args (@t463 0)) % 150.63/151.01 (step @p710 :rule eq_resolve :premises (@p709 @p708)) % 150.63/151.01 (step @p711 :rule reordering :premises (@p710) :args ((or @t461 @t463))) % 150.63/151.01 (step @p712 :rule chain_m_resolution :premises (@p711 @p705) :args (@t461 @t444 @t465)) % 150.63/151.01 (step @p713 :rule cnf_or_pos :args (@t467)) % 150.63/151.01 (step @p714 :rule reordering :premises (@p713) :args ((or @t462 @t466 (not @t467)))) % 150.63/151.01 (step @p715 :rule chain_m_resolution :premises (@p714 @p712 @p209) :args (@t466 @t456 (@list @t461 @t467))) % 150.63/151.01 (step @p716 :rule cnf_or_neg :args (@t463 1)) % 150.63/151.01 (step @p717 :rule chain_m_resolution :premises (@p716 @p705) :args ((not @t460) @t444 @t465)) % 150.63/151.01 (step @p718 :rule cnf_or_pos :args (@t469)) % 150.63/151.01 (step @p719 :rule reordering :premises (@p718) :args ((or @t462 @t460 @t468 @t470))) % 150.63/151.01 (step @p720 :rule chain_m_resolution :premises (@p719 @p712 @p717 @p715) :args (@t470 (@list false true false) (@list @t461 @t460 @t466))) % 150.63/151.01 (assume-push @p733 @t125) % 150.63/151.01 (step @p722 :rule instantiate :premises (@p177) :args ((@list @t209 tptp.jan @t213))) % 150.63/151.01 (step-pop @p734 :rule scope :premises (@p722)) % 150.63/151.01 (step @p723 :rule process_scope :premises (@p734) :args (@t469)) % 150.63/151.01 (step @p725 :rule implies_elim :premises (@p723)) % 150.63/151.01 (step @p726 false :rule chain_m_resolution :premises (@p725 @p720 @p177) :args (false @t448 (@list @t469 @t125))) % 150.63/151.01 ) % 150.63/151.01 % SZS output end Proof % 150.63/151.01 % cvc5 exiting %------------------------------------------------------------------------------