%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL873^1 : TPTP v9.3.1. Bugfixed v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:04 AM UTC 2026 % Result : Theorem 151.42s 152.76s % Output : Proof 151.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL873^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n015.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 04:34:42 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.43 %----Proving TH0 % 151.42/152.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.42/152.76 --- 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... % 151.42/152.76 --- 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... % 151.42/152.76 --- Run --ho-elim --full-saturate-quant at 18s... % 151.42/152.76 % SZS status Theorem % 151.42/152.76 % SZS output start Proof % 151.42/152.76 ( % 151.42/152.76 (declare-sort $$unsorted 0) % 151.42/152.76 (declare-sort tptp.mu 0) % 151.42/152.76 (declare-const tptp.rb (-> $$unsorted $$unsorted Bool)) % 151.42/152.76 (declare-const tptp.ra (-> $$unsorted $$unsorted Bool)) % 151.42/152.76 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 151.42/152.76 (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" $$unsorted)) (= _let_2 _let_1))))) % 151.42/152.76 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 151.42/152.76 (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)))))) % 151.42/152.76 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 151.42/152.76 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.42/152.76 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 151.42/152.76 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.42/152.76 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 151.42/152.76 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 151.42/152.76 (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))))))) % 151.42/152.76 (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))))))) % 151.42/152.76 (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)))))) % 151.42/152.76 (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)))))) % 151.42/152.76 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 151.42/152.76 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 151.42/152.76 (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)))))) % 151.42/152.76 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 151.42/152.76 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.42/152.76 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.42/152.76 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 151.42/152.76 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 151.42/152.76 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 151.42/152.76 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 151.42/152.76 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 151.42/152.76 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 151.42/152.76 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 151.42/152.76 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 151.42/152.76 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.42/152.76 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 151.42/152.76 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.42/152.76 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 151.42/152.76 (define @t2 () (@var "B" (-> $$unsorted Bool))) % 151.42/152.76 (define @t3 () (_ tptp.mbox tptp.rb)) % 151.42/152.76 (define @t4 () (_ @t3 @t2)) % 151.42/152.76 (define @t5 () (@var "A" (-> $$unsorted Bool))) % 151.42/152.76 (define @t6 () (_ tptp.mbox tptp.ra)) % 151.42/152.76 (define @t7 () (_ tptp.mor (_ @t6 @t5))) % 151.42/152.76 (define @t8 () (_ @t7 @t4)) % 151.42/152.76 (define @t9 () (@list @t2 @t1)) % 151.42/152.76 (define @t10 () (lambda @t9 (_ (_ (_ tptp.mimplies (_ @t3 @t8)) (_ (_ tptp.mor (_ @t3 @t5)) @t4)) @t1))) % 151.42/152.76 (define @t11 () (@list @t5 @t1)) % 151.42/152.76 (define @t12 () (lambda @t11 (_ (_ tptp.mforall_prop @t10) @t1))) % 151.42/152.76 (define @t13 () (lambda @t9 (_ (_ (_ tptp.mimplies (_ @t6 @t8)) (_ @t7 (_ @t6 @t2))) @t1))) % 151.42/152.76 (define @t14 () (lambda @t11 (_ (_ tptp.mforall_prop @t13) @t1))) % 151.42/152.76 (define @t15 () (and (_ tptp.mvalid (_ tptp.mforall_prop @t14)) (_ tptp.mvalid (_ tptp.mforall_prop @t12)))) % 151.42/152.76 (define @t16 () (not @t15)) % 151.42/152.76 (define @t17 () (@var "Y" tptp.mu)) % 151.42/152.76 (define @t18 () (@var "X" tptp.mu)) % 151.42/152.76 (define @t19 () (@var "W" $$unsorted)) % 151.42/152.76 (define @t20 () (lambda (@list @t18 @t17 @t19) (= @t18 @t17))) % 151.42/152.76 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 151.42/152.76 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 151.42/152.76 (define @t23 () (lambda (@list @t22 @t21 @t19) (= (_ @t22 @t19) (_ @t21 @t19)))) % 151.42/152.76 (define @t24 () (@var "Phi" (-> $$unsorted Bool))) % 151.42/152.76 (define @t25 () (_ @t24 @t19)) % 151.42/152.76 (define @t26 () (not @t25)) % 151.42/152.76 (define @t27 () (@list @t24 @t19)) % 151.42/152.76 (define @t28 () (lambda @t27 @t26)) % 151.42/152.76 (define @t29 () (@var "Psi" (-> $$unsorted Bool))) % 151.42/152.76 (define @t30 () (_ @t29 @t19)) % 151.42/152.76 (define @t31 () (lambda (@list @t24 @t29 @t19) (or @t25 @t30))) % 151.42/152.76 (define @t32 () (_ tptp.mnot @t29)) % 151.42/152.76 (define @t33 () (_ tptp.mnot @t24)) % 151.42/152.76 (define @t34 () (_ tptp.mor @t33)) % 151.42/152.76 (define @t35 () (@list @t24 @t29 @t1)) % 151.42/152.76 (define @t36 () (lambda @t35 (_ (_ tptp.mnot (_ @t34 @t32)) @t1))) % 151.42/152.76 (define @t37 () (lambda @t35 (_ (_ @t34 @t29) @t1))) % 151.42/152.76 (define @t38 () (lambda @t35 (_ (_ (_ tptp.mor @t32) @t24) @t1))) % 151.42/152.76 (define @t39 () (lambda @t35 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t24) @t29)) (_ (_ tptp.mimplies @t29) @t24)) @t1))) % 151.42/152.76 (define @t40 () (lambda @t35 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t24) @t29)) @t1))) % 151.42/152.76 (define @t41 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 151.42/152.76 (define @t42 () (_ @t41 @t18)) % 151.42/152.76 (define @t43 () (lambda (@list @t41 @t19) (forall (@list @t18) (_ @t42 @t19)))) % 151.42/152.76 (define @t44 () (@var "P" (-> $$unsorted Bool))) % 151.42/152.76 (define @t45 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 151.42/152.76 (define @t46 () (_ @t45 @t44)) % 151.42/152.76 (define @t47 () (_ @t46 @t19)) % 151.42/152.76 (define @t48 () (@list @t44)) % 151.42/152.76 (define @t49 () (forall @t48 @t47)) % 151.42/152.76 (define @t50 () (@list @t45 @t19)) % 151.42/152.76 (define @t51 () (lambda @t50 @t49)) % 151.42/152.76 (define @t52 () (lambda (@list @t41 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t18 @t1) (_ (_ tptp.mnot @t42) @t1)))) @t1))) % 151.42/152.76 (define @t53 () (lambda (@list @t45 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t44 @t1) (_ (_ tptp.mnot @t46) @t1)))) @t1))) % 151.42/152.76 (define @t54 () (@list @t19)) % 151.42/152.76 (define @t55 () (lambda @t54 true)) % 151.42/152.76 (define @t56 () (@var "V" $$unsorted)) % 151.42/152.76 (define @t57 () (_ @t24 @t56)) % 151.42/152.76 (define @t58 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 151.42/152.76 (define @t59 () (_ (_ @t58 @t19) @t56)) % 151.42/152.76 (define @t60 () (not @t59)) % 151.42/152.76 (define @t61 () (or @t60 @t57)) % 151.42/152.76 (define @t62 () (@list @t56)) % 151.42/152.76 (define @t63 () (forall @t62 @t61)) % 151.42/152.76 (define @t64 () (@list @t58 @t24 @t19)) % 151.42/152.76 (define @t65 () (lambda @t64 @t63)) % 151.42/152.76 (define @t66 () (lambda (@list @t58 @t24 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t58) @t33)) @t1))) % 151.42/152.76 (define @t67 () (@var "S" $$unsorted)) % 151.42/152.76 (define @t68 () (_ @t58 @t67)) % 151.42/152.76 (define @t69 () (_ @t68 @t67)) % 151.42/152.76 (define @t70 () (@list @t67)) % 151.42/152.76 (define @t71 () (forall @t70 @t69)) % 151.42/152.76 (define @t72 () (@list @t58)) % 151.42/152.76 (define @t73 () (lambda @t72 @t71)) % 151.42/152.76 (define @t74 () (@var "T" $$unsorted)) % 151.42/152.76 (define @t75 () (_ @t58 @t74)) % 151.42/152.76 (define @t76 () (_ @t68 @t74)) % 151.42/152.76 (define @t77 () (lambda @t72 (forall (@list @t67 @t74) (=> @t76 (_ @t75 @t67))))) % 151.42/152.76 (define @t78 () (@list @t74)) % 151.42/152.76 (define @t79 () (lambda @t72 (forall @t70 (exists @t78 @t76)))) % 151.42/152.76 (define @t80 () (@var "U" $$unsorted)) % 151.42/152.76 (define @t81 () (_ @t68 @t80)) % 151.42/152.76 (define @t82 () (_ @t75 @t80)) % 151.42/152.76 (define @t83 () (@list @t67 @t74 @t80)) % 151.42/152.76 (define @t84 () (lambda @t72 (forall @t83 (=> (and @t76 @t82) @t81)))) % 151.42/152.76 (define @t85 () (and @t76 @t81)) % 151.42/152.76 (define @t86 () (forall @t83 (=> @t85 @t82))) % 151.42/152.76 (define @t87 () (lambda @t72 @t86)) % 151.42/152.76 (define @t88 () (= @t74 @t80)) % 151.42/152.76 (define @t89 () (lambda @t72 (forall @t83 (=> @t85 @t88)))) % 151.42/152.76 (define @t90 () (@list @t80)) % 151.42/152.76 (define @t91 () (lambda @t72 (forall @t70 (exists @t78 (and @t76 (forall @t90 (=> @t81 @t88))))))) % 151.42/152.76 (define @t92 () (_ @t58 @t80)) % 151.42/152.76 (define @t93 () (_ @t92 @t74)) % 151.42/152.76 (define @t94 () (lambda @t72 (forall @t83 (=> @t76 (exists @t90 (and @t81 @t93)))))) % 151.42/152.76 (define @t95 () (lambda @t72 (forall @t83 (=> @t85 (or @t82 @t88 @t93))))) % 151.42/152.76 (define @t96 () (lambda @t72 (forall @t83 (=> @t85 (exists @t62 (and (_ @t75 @t56) (_ @t92 @t56))))))) % 151.42/152.76 (define @t97 () (forall @t54 @t25)) % 151.42/152.76 (define @t98 () (@list @t24)) % 151.42/152.76 (define @t99 () (lambda @t98 @t97)) % 151.42/152.76 (define @t100 () (lambda @t98 (forall @t54 @t26))) % 151.42/152.76 (define @t101 () (lambda @t98 (exists @t54 @t25))) % 151.42/152.76 (define @t102 () (lambda @t98 (exists @t54 @t26))) % 151.42/152.76 (define @t103 () (@var "BOUND_VARIABLE_8629" $$unsorted)) % 151.42/152.76 (define @t104 () (@var "BOUND_VARIABLE_8915" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.42/152.76 (define @t105 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 151.42/152.76 (define @t106 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.42/152.76 (define @t107 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 151.42/152.76 (define @t108 () (_ @t107 @t106 @t19)) % 151.42/152.76 (define @t109 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 151.42/152.76 (define @t110 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.42/152.76 (define @t111 () (_ @t107 @t110 @t56)) % 151.42/152.76 (define @t112 () (not (_ @t105 @t111 @t109))) % 151.42/152.76 (define @t113 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 151.42/152.76 (define @t114 () (@var "BOUND_VARIABLE_8893" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.42/152.76 (define @t115 () (_ @t107 @t106 @t56)) % 151.42/152.76 (define @t116 () (not (_ @t105 @t115 @t113))) % 151.42/152.76 (define @t117 () (@list @t56 @t113 @t109)) % 151.42/152.76 (define @t118 () (@var "BOUND_VARIABLE_8621" $$unsorted)) % 151.42/152.76 (define @t119 () (forall (@list @t19 @t114 @t118 @t104 @t103) (or (not (_ @t105 @t108 @t118)) (_ @t105 @t114 @t118) (not (forall @t117 (or (not (_ @t105 @t108 @t56)) @t116 (_ @t105 @t114 @t113) @t112 (_ @t105 @t104 @t109)))) (not (_ @t105 @t108 @t103)) (_ @t105 @t104 @t103)))) % 151.42/152.76 (define @t120 () (@quantifiers_skolemize @t119 2)) % 151.42/152.76 (define @t121 () (@quantifiers_skolemize @t119 0)) % 151.42/152.76 (define @t122 () (_ @t107 @t106 @t121)) % 151.42/152.76 (define @t123 () (_ @t105 @t122 @t120)) % 151.42/152.76 (define @t124 () (@quantifiers_skolemize @t119 4)) % 151.42/152.76 (define @t125 () (@quantifiers_skolemize @t119 3)) % 151.42/152.76 (define @t126 () (_ @t105 @t125 @t124)) % 151.42/152.76 (define @t127 () (_ @t105 @t122 @t124)) % 151.42/152.76 (define @t128 () (not @t127)) % 151.42/152.76 (define @t129 () (@quantifiers_skolemize @t119 1)) % 151.42/152.76 (define @t130 () (forall @t117 (or (not (_ @t105 @t122 @t56)) @t116 (_ @t105 @t129 @t113) @t112 (_ @t105 @t125 @t109)))) % 151.42/152.76 (define @t131 () (not @t130)) % 151.42/152.76 (define @t132 () (_ @t105 @t129 @t120)) % 151.42/152.76 (define @t133 () (not @t123)) % 151.42/152.76 (define @t134 () (or @t133 @t132 @t131 @t128 @t126)) % 151.42/152.76 (define @t135 () (_ @t105 (_ @t107 @t110 @t124) @t124)) % 151.42/152.76 (define @t136 () (not @t135)) % 151.42/152.76 (define @t137 () (_ @t105 (_ @t107 @t106 @t124) @t120)) % 151.42/152.76 (define @t138 () (not @t137)) % 151.42/152.76 (define @t139 () (or @t128 @t138 @t132 @t136 @t126)) % 151.42/152.76 (define @t140 () (_ @t107 @t106 @t67)) % 151.42/152.76 (define @t141 () (forall @t83 (or (not (tptp.ra @t67 @t74)) (not (tptp.ra @t67 @t80)) (tptp.ra @t74 @t80)))) % 151.42/152.76 (define @t142 () (_ @t58 @t74 @t80)) % 151.42/152.76 (define @t143 () (_ @t58 @t67 @t80)) % 151.42/152.76 (define @t144 () (_ @t58 @t67 @t74)) % 151.42/152.76 (define @t145 () (lambda @t72 (forall @t83 (or (not @t144) (not @t143) @t142)))) % 151.42/152.76 (define @t146 () (not @t81)) % 151.42/152.76 (define @t147 () (not @t76)) % 151.42/152.76 (define @t148 () (or @t147 @t146 @t82)) % 151.42/152.76 (define @t149 () (or @t128 @t133 @t137)) % 151.42/152.76 (define @t150 () (_ @t107 @t110 @t67)) % 151.42/152.76 (define @t151 () (forall @t70 (tptp.rb @t67 @t67))) % 151.42/152.76 (define @t152 () (_ @t58 @t67 @t67)) % 151.42/152.76 (define @t153 () (lambda @t72 (forall @t70 @t152))) % 151.42/152.76 (define @t154 () (not @t134)) % 151.42/152.76 (define @t155 () (not @t119)) % 151.42/152.76 (define @t156 () (@list false)) % 151.42/152.76 (define @t157 () (@var "BOUND_VARIABLE_8790" $$unsorted)) % 151.42/152.76 (define @t158 () (@var "BOUND_VARIABLE_8878" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.42/152.76 (define @t159 () (_ @t107 @t110 @t19)) % 151.42/152.76 (define @t160 () (@var "BOUND_VARIABLE_8664" $$unsorted)) % 151.42/152.76 (define @t161 () (not (_ @t105 @t111 @t160))) % 151.42/152.76 (define @t162 () (@var "BOUND_VARIABLE_8658" $$unsorted)) % 151.42/152.76 (define @t163 () (not (_ @t105 @t115 @t162))) % 151.42/152.76 (define @t164 () (@list @t56 @t162 @t160)) % 151.42/152.76 (define @t165 () (@var "BOUND_VARIABLE_8782" $$unsorted)) % 151.42/152.76 (define @t166 () (forall (@list @t19 @t114 @t165 @t158 @t157) (or (not (_ @t105 @t159 @t165)) (_ @t105 @t114 @t165) (not (forall @t164 (or (not (_ @t105 @t159 @t56)) @t163 (_ @t105 @t114 @t162) @t161 (_ @t105 @t158 @t160)))) (not (_ @t105 @t159 @t157)) (_ @t105 @t158 @t157)))) % 151.42/152.76 (define @t167 () (@var "BOUND_VARIABLE_8788" (-> $$unsorted Bool))) % 151.42/152.76 (define @t168 () (_ @t167 @t157)) % 151.42/152.76 (define @t169 () (not (tptp.rb @t19 @t157))) % 151.42/152.76 (define @t170 () (not (tptp.rb @t56 @t160))) % 151.42/152.76 (define @t171 () (_ @t44 @t162)) % 151.42/152.76 (define @t172 () (not (tptp.ra @t56 @t162))) % 151.42/152.76 (define @t173 () (not (tptp.rb @t19 @t56))) % 151.42/152.76 (define @t174 () (not (forall @t164 (or @t173 @t172 @t171 @t170 (_ @t167 @t160))))) % 151.42/152.76 (define @t175 () (_ @t44 @t165)) % 151.42/152.76 (define @t176 () (not (tptp.rb @t19 @t165))) % 151.42/152.76 (define @t177 () (or @t176 @t175 @t174 @t169 @t168)) % 151.42/152.76 (define @t178 () (forall (@list @t19 @t44 @t165 @t167 @t157) @t177)) % 151.42/152.76 (define @t179 () (@var "BOUND_VARIABLE_8627" (-> $$unsorted Bool))) % 151.42/152.76 (define @t180 () (_ @t179 @t103)) % 151.42/152.76 (define @t181 () (not (tptp.ra @t19 @t103))) % 151.42/152.76 (define @t182 () (not (tptp.rb @t56 @t109))) % 151.42/152.76 (define @t183 () (_ @t44 @t113)) % 151.42/152.76 (define @t184 () (not (tptp.ra @t56 @t113))) % 151.42/152.76 (define @t185 () (not (tptp.ra @t19 @t56))) % 151.42/152.76 (define @t186 () (not (forall @t117 (or @t185 @t184 @t183 @t182 (_ @t179 @t109))))) % 151.42/152.76 (define @t187 () (_ @t44 @t118)) % 151.42/152.76 (define @t188 () (not (tptp.ra @t19 @t118))) % 151.42/152.76 (define @t189 () (or @t188 @t187 @t186 @t181 @t180)) % 151.42/152.76 (define @t190 () (forall (@list @t19 @t44 @t118 @t179 @t103) @t189)) % 151.42/152.76 (define @t191 () (@list @t44 @t165 @t167 @t157)) % 151.42/152.76 (define @t192 () (forall @t191 @t177)) % 151.42/152.76 (define @t193 () (lambda @t54 @t192)) % 151.42/152.76 (define @t194 () (_ @t193 @t19)) % 151.42/152.76 (define @t195 () (forall @t54 @t194)) % 151.42/152.76 (define @t196 () (_ @t24 @t19)) % 151.42/152.76 (define @t197 () (lambda @t98 (forall @t54 @t196))) % 151.42/152.76 (define @t198 () (or @t174 @t169 @t168)) % 151.42/152.76 (define @t199 () (or @t176 @t175)) % 151.42/152.76 (define @t200 () (or @t199 @t198)) % 151.42/152.76 (define @t201 () (forall @t191 @t200)) % 151.42/152.76 (define @t202 () (forall (@list @t165 @t167 @t157) @t200)) % 151.42/152.76 (define @t203 () (forall (@list @t167 @t157) @t198)) % 151.42/152.76 (define @t204 () (@var "BOUND_VARIABLE_8734" $$unsorted)) % 151.42/152.76 (define @t205 () (@var "BOUND_VARIABLE_8761" (-> $$unsorted Bool))) % 151.42/152.76 (define @t206 () (forall (@list @t165) @t199)) % 151.42/152.76 (define @t207 () (@list @t56)) % 151.42/152.76 (define @t208 () (or @t206 @t203)) % 151.42/152.76 (define @t209 () (_ @t205 @t204)) % 151.42/152.76 (define @t210 () (not (tptp.rb @t19 @t204))) % 151.42/152.76 (define @t211 () (_ @t205 @t160)) % 151.42/152.76 (define @t212 () (@list @t205 @t204)) % 151.42/152.76 (define @t213 () (_ @t44 @t56)) % 151.42/152.76 (define @t214 () (forall @t62 (or @t173 @t213))) % 151.42/152.76 (define @t215 () (or @t214 (forall @t212 (or (not (forall @t164 (or @t173 @t172 @t171 @t170 @t211))) @t210 @t209)))) % 151.42/152.76 (define @t216 () (not (tptp.rb @t1 @t204))) % 151.42/152.76 (define @t217 () (_ @t5 @t162)) % 151.42/152.76 (define @t218 () (not (tptp.rb @t1 @t56))) % 151.42/152.76 (define @t219 () (_ @t5 @t56)) % 151.42/152.76 (define @t220 () (forall @t62 (or @t218 @t219))) % 151.42/152.76 (define @t221 () (_ @t44 @t204)) % 151.42/152.76 (define @t222 () (_ @t44 @t160)) % 151.42/152.76 (define @t223 () (@list @t44 @t204)) % 151.42/152.76 (define @t224 () (forall @t223 (or (not (forall @t164 (or @t218 @t172 @t217 @t170 @t222))) @t216 @t221))) % 151.42/152.76 (define @t225 () (@list @t44)) % 151.42/152.76 (define @t226 () (or @t220 @t224)) % 151.42/152.76 (define @t227 () (lambda @t11 @t226)) % 151.42/152.76 (define @t228 () (forall @t48 (_ @t227 @t44 @t19))) % 151.42/152.76 (define @t229 () (lambda @t54 @t228)) % 151.42/152.76 (define @t230 () (_ @t45 @t44 @t19)) % 151.42/152.76 (define @t231 () (lambda @t50 (forall @t48 @t230))) % 151.42/152.76 (define @t232 () (not (forall @t164 (or @t173 @t172 @t217 @t170 @t222)))) % 151.42/152.76 (define @t233 () (or @t232 @t210 @t221)) % 151.42/152.76 (define @t234 () (forall @t62 (or @t173 @t219))) % 151.42/152.76 (define @t235 () (or @t210 @t221)) % 151.42/152.76 (define @t236 () (or @t232 @t235)) % 151.42/152.76 (define @t237 () (forall @t223 @t236)) % 151.42/152.76 (define @t238 () (@list @t204)) % 151.42/152.76 (define @t239 () (forall @t238 @t236)) % 151.42/152.76 (define @t240 () (forall @t238 @t235)) % 151.42/152.76 (define @t241 () (or @t232 @t240)) % 151.42/152.76 (define @t242 () (or @t232 @t214)) % 151.42/152.76 (define @t243 () (forall @t48 @t242)) % 151.42/152.76 (define @t244 () (or @t234 @t243)) % 151.42/152.76 (define @t245 () (or @t234 @t242)) % 151.42/152.76 (define @t246 () (or @t232 @t234 @t214)) % 151.42/152.76 (define @t247 () (_ @t2 @t56)) % 151.42/152.76 (define @t248 () (forall @t62 (or @t218 @t247))) % 151.42/152.76 (define @t249 () (_ @t2 @t160)) % 151.42/152.76 (define @t250 () (forall @t164 (or @t218 @t172 @t217 @t170 @t249))) % 151.42/152.76 (define @t251 () (not @t250)) % 151.42/152.76 (define @t252 () (or @t251 @t220 @t248)) % 151.42/152.76 (define @t253 () (lambda @t9 @t252)) % 151.42/152.76 (define @t254 () (_ @t253 @t44 @t19)) % 151.42/152.76 (define @t255 () (forall @t48 @t254)) % 151.42/152.76 (define @t256 () (lambda @t54 @t255)) % 151.42/152.76 (define @t257 () (@list @t1)) % 151.42/152.76 (define @t258 () (or @t220 @t248)) % 151.42/152.76 (define @t259 () (forall @t62 (or @t173 @t247))) % 151.42/152.76 (define @t260 () (lambda @t54 (or @t234 @t259))) % 151.42/152.76 (define @t261 () (_ @t260 @t1)) % 151.42/152.76 (define @t262 () (or @t251 @t261)) % 151.42/152.76 (define @t263 () (lambda @t257 @t262)) % 151.42/152.76 (define @t264 () (_ @t29 @t1)) % 151.42/152.76 (define @t265 () (@list @t29 @t1)) % 151.42/152.76 (define @t266 () (lambda @t54 @t259)) % 151.42/152.76 (define @t267 () (_ @t266 @t19)) % 151.42/152.76 (define @t268 () (or @t234 @t267)) % 151.42/152.76 (define @t269 () (lambda @t54 @t268)) % 151.42/152.76 (define @t270 () (@list @t29 @t19)) % 151.42/152.76 (define @t271 () (_ @t24 @t56)) % 151.42/152.76 (define @t272 () (lambda @t27 (forall @t62 (or @t173 @t271)))) % 151.42/152.76 (define @t273 () (_ @t58 @t19 @t56)) % 151.42/152.76 (define @t274 () (lambda @t64 (forall @t62 (or (not @t273) @t271)))) % 151.42/152.76 (define @t275 () (_ @t274 tptp.rb)) % 151.42/152.76 (define @t276 () (lambda @t54 @t234)) % 151.42/152.76 (define @t277 () (_ @t276 @t19)) % 151.42/152.76 (define @t278 () (or @t277 @t30)) % 151.42/152.76 (define @t279 () (lambda @t270 @t278)) % 151.42/152.76 (define @t280 () (or @t173 @t172 @t217 @t170 @t249)) % 151.42/152.76 (define @t281 () (lambda @t54 (forall @t164 @t280))) % 151.42/152.76 (define @t282 () (_ @t281 @t1)) % 151.42/152.76 (define @t283 () (not @t282)) % 151.42/152.76 (define @t284 () (or @t283 @t264)) % 151.42/152.76 (define @t285 () (lambda @t265 @t284)) % 151.42/152.76 (define @t286 () (or (not (_ @t24 @t1)) @t264)) % 151.42/152.76 (define @t287 () (lambda @t35 @t286)) % 151.42/152.76 (define @t288 () (or @t170 @t249)) % 151.42/152.76 (define @t289 () (or @t172 @t217)) % 151.42/152.76 (define @t290 () (or @t173 @t289 @t288)) % 151.42/152.76 (define @t291 () (forall @t164 @t290)) % 151.42/152.76 (define @t292 () (forall (@list @t162 @t160) @t290)) % 151.42/152.76 (define @t293 () (forall (@list @t160) @t288)) % 151.42/152.76 (define @t294 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 151.42/152.76 (define @t295 () (@list @t294)) % 151.42/152.76 (define @t296 () (forall (@list @t162) @t289)) % 151.42/152.76 (define @t297 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 151.42/152.76 (define @t298 () (@list @t297)) % 151.42/152.76 (define @t299 () (or @t173 @t296 @t293)) % 151.42/152.76 (define @t300 () (_ @t2 @t294)) % 151.42/152.76 (define @t301 () (@list @t294)) % 151.42/152.76 (define @t302 () (forall @t301 (or (not (tptp.rb @t56 @t294)) @t300))) % 151.42/152.76 (define @t303 () (_ @t5 @t297)) % 151.42/152.76 (define @t304 () (@list @t297)) % 151.42/152.76 (define @t305 () (forall @t304 (or (not (tptp.ra @t56 @t297)) @t303))) % 151.42/152.76 (define @t306 () (or @t173 @t305 @t302)) % 151.42/152.76 (define @t307 () (or @t305 @t302)) % 151.42/152.76 (define @t308 () (forall @t62 (or @t185 @t219))) % 151.42/152.76 (define @t309 () (or @t308 @t259)) % 151.42/152.76 (define @t310 () (lambda @t54 @t309)) % 151.42/152.76 (define @t311 () (_ @t310 @t56)) % 151.42/152.76 (define @t312 () (or @t173 @t311)) % 151.42/152.76 (define @t313 () (forall @t62 @t312)) % 151.42/152.76 (define @t314 () (lambda @t54 @t313)) % 151.42/152.76 (define @t315 () (or @t308 @t267)) % 151.42/152.76 (define @t316 () (lambda @t54 @t315)) % 151.42/152.76 (define @t317 () (lambda @t270 (or @t308 @t30))) % 151.42/152.76 (define @t318 () (lambda @t54 @t308)) % 151.42/152.76 (define @t319 () (_ @t318 @t19)) % 151.42/152.76 (define @t320 () (or @t319 @t30)) % 151.42/152.76 (define @t321 () (lambda @t270 @t320)) % 151.42/152.76 (define @t322 () (lambda @t27 (forall @t62 (or @t185 @t271)))) % 151.42/152.76 (define @t323 () (_ @t274 tptp.ra)) % 151.42/152.76 (define @t324 () (_ @t275 @t2)) % 151.42/152.76 (define @t325 () (_ @t31 (_ @t323 @t5))) % 151.42/152.76 (define @t326 () (_ @t325 @t324)) % 151.42/152.76 (define @t327 () (lambda @t9 (_ (_ (_ @t287 (_ @t275 @t326)) (_ (_ @t31 (_ @t275 @t5)) @t324)) @t1))) % 151.42/152.76 (define @t328 () (lambda @t11 (_ (_ @t231 @t327) @t1))) % 151.42/152.76 (define @t329 () (@list @t44 @t118 @t179 @t103)) % 151.42/152.76 (define @t330 () (forall @t329 @t189)) % 151.42/152.76 (define @t331 () (lambda @t54 @t330)) % 151.42/152.76 (define @t332 () (_ @t331 @t19)) % 151.42/152.76 (define @t333 () (forall @t54 @t332)) % 151.42/152.76 (define @t334 () (or @t186 @t181 @t180)) % 151.42/152.76 (define @t335 () (or @t188 @t187)) % 151.42/152.76 (define @t336 () (or @t335 @t334)) % 151.42/152.76 (define @t337 () (forall @t329 @t336)) % 151.42/152.76 (define @t338 () (forall (@list @t118 @t179 @t103) @t336)) % 151.42/152.76 (define @t339 () (forall (@list @t179 @t103) @t334)) % 151.42/152.76 (define @t340 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 151.42/152.76 (define @t341 () (@var "BOUND_VARIABLE_8600" (-> $$unsorted Bool))) % 151.42/152.76 (define @t342 () (forall (@list @t118) @t335)) % 151.42/152.76 (define @t343 () (or @t342 @t339)) % 151.42/152.76 (define @t344 () (_ @t341 @t340)) % 151.42/152.76 (define @t345 () (not (tptp.ra @t19 @t340))) % 151.42/152.76 (define @t346 () (_ @t341 @t109)) % 151.42/152.76 (define @t347 () (@list @t341 @t340)) % 151.42/152.76 (define @t348 () (forall @t62 (or @t185 @t213))) % 151.42/152.76 (define @t349 () (or @t348 (forall @t347 (or (not (forall @t117 (or @t185 @t184 @t183 @t182 @t346))) @t345 @t344)))) % 151.42/152.76 (define @t350 () (not (tptp.ra @t1 @t340))) % 151.42/152.76 (define @t351 () (_ @t5 @t113)) % 151.42/152.76 (define @t352 () (not (tptp.ra @t1 @t56))) % 151.42/152.76 (define @t353 () (forall @t62 (or @t352 @t219))) % 151.42/152.76 (define @t354 () (_ @t44 @t340)) % 151.42/152.76 (define @t355 () (_ @t44 @t109)) % 151.42/152.76 (define @t356 () (@list @t44 @t340)) % 151.42/152.76 (define @t357 () (forall @t356 (or (not (forall @t117 (or @t352 @t184 @t351 @t182 @t355))) @t350 @t354))) % 151.42/152.76 (define @t358 () (or @t353 @t357)) % 151.42/152.76 (define @t359 () (lambda @t11 @t358)) % 151.42/152.76 (define @t360 () (forall @t48 (_ @t359 @t44 @t19))) % 151.42/152.76 (define @t361 () (lambda @t54 @t360)) % 151.42/152.76 (define @t362 () (not (forall @t117 (or @t185 @t184 @t351 @t182 @t355)))) % 151.42/152.76 (define @t363 () (or @t362 @t345 @t354)) % 151.42/152.76 (define @t364 () (or @t345 @t354)) % 151.42/152.76 (define @t365 () (or @t362 @t364)) % 151.42/152.76 (define @t366 () (forall @t356 @t365)) % 151.42/152.76 (define @t367 () (@list @t340)) % 151.42/152.76 (define @t368 () (forall @t367 @t365)) % 151.42/152.76 (define @t369 () (forall @t367 @t364)) % 151.42/152.76 (define @t370 () (or @t362 @t369)) % 151.42/152.76 (define @t371 () (or @t362 @t348)) % 151.42/152.76 (define @t372 () (forall @t48 @t371)) % 151.42/152.76 (define @t373 () (or @t308 @t372)) % 151.42/152.76 (define @t374 () (or @t308 @t371)) % 151.42/152.76 (define @t375 () (or @t362 @t308 @t348)) % 151.42/152.76 (define @t376 () (forall @t62 (or @t352 @t247))) % 151.42/152.76 (define @t377 () (_ @t2 @t109)) % 151.42/152.76 (define @t378 () (forall @t117 (or @t352 @t184 @t351 @t182 @t377))) % 151.42/152.76 (define @t379 () (not @t378)) % 151.42/152.76 (define @t380 () (or @t379 @t353 @t376)) % 151.42/152.76 (define @t381 () (lambda @t9 @t380)) % 151.42/152.76 (define @t382 () (_ @t381 @t44 @t19)) % 151.42/152.76 (define @t383 () (forall @t48 @t382)) % 151.42/152.76 (define @t384 () (lambda @t54 @t383)) % 151.42/152.76 (define @t385 () (or @t353 @t376)) % 151.42/152.76 (define @t386 () (forall @t62 (or @t185 @t247))) % 151.42/152.76 (define @t387 () (lambda @t54 (or @t308 @t386))) % 151.42/152.76 (define @t388 () (_ @t387 @t1)) % 151.42/152.76 (define @t389 () (or @t379 @t388)) % 151.42/152.76 (define @t390 () (lambda @t257 @t389)) % 151.42/152.76 (define @t391 () (lambda @t54 @t386)) % 151.42/152.76 (define @t392 () (_ @t391 @t19)) % 151.42/152.76 (define @t393 () (or @t308 @t392)) % 151.42/152.76 (define @t394 () (lambda @t54 @t393)) % 151.42/152.76 (define @t395 () (or @t185 @t184 @t351 @t182 @t377)) % 151.42/152.76 (define @t396 () (lambda @t54 (forall @t117 @t395))) % 151.42/152.76 (define @t397 () (_ @t396 @t1)) % 151.42/152.76 (define @t398 () (not @t397)) % 151.42/152.76 (define @t399 () (or @t398 @t264)) % 151.42/152.76 (define @t400 () (lambda @t265 @t399)) % 151.42/152.76 (define @t401 () (or @t182 @t377)) % 151.42/152.76 (define @t402 () (or @t184 @t351)) % 151.42/152.76 (define @t403 () (or @t185 @t402 @t401)) % 151.42/152.76 (define @t404 () (forall @t117 @t403)) % 151.42/152.76 (define @t405 () (forall (@list @t113 @t109) @t403)) % 151.42/152.76 (define @t406 () (forall (@list @t109) @t401)) % 151.42/152.76 (define @t407 () (forall (@list @t113) @t402)) % 151.42/152.76 (define @t408 () (or @t185 @t407 @t406)) % 151.42/152.76 (define @t409 () (or @t185 @t305 @t302)) % 151.42/152.76 (define @t410 () (or @t185 @t311)) % 151.42/152.76 (define @t411 () (forall @t62 @t410)) % 151.42/152.76 (define @t412 () (lambda @t54 @t411)) % 151.42/152.76 (define @t413 () (lambda @t9 (_ (_ (_ @t287 (_ @t323 @t326)) (_ @t325 (_ @t323 @t2))) @t1))) % 151.42/152.76 (define @t414 () (lambda @t11 (_ (_ @t231 @t413) @t1))) % 151.42/152.76 (define @t415 () (and (_ @t197 (_ @t231 @t414)) (_ @t197 (_ @t231 @t328)))) % 151.42/152.76 (define @t416 () (or @t26 @t30)) % 151.42/152.76 (define @t417 () (lambda @t54 @t416)) % 151.42/152.76 (define @t418 () (lambda @t54 @t26)) % 151.42/152.76 (define @t419 () (_ @t418 @t19)) % 151.42/152.76 (define @t420 () (or @t419 @t30)) % 151.42/152.76 (define @t421 () (lambda @t270 @t420)) % 151.42/152.76 (define @t422 () (not @t166)) % 151.42/152.76 (define @t423 () (@quantifiers_skolemize @t166 4)) % 151.42/152.76 (define @t424 () (@quantifiers_skolemize @t166 3)) % 151.42/152.76 (define @t425 () (_ @t105 @t424 @t423)) % 151.42/152.76 (define @t426 () (@quantifiers_skolemize @t166 0)) % 151.42/152.76 (define @t427 () (_ @t107 @t110 @t426)) % 151.42/152.76 (define @t428 () (_ @t105 @t427 @t423)) % 151.42/152.76 (define @t429 () (not @t428)) % 151.42/152.76 (define @t430 () (@quantifiers_skolemize @t166 1)) % 151.42/152.76 (define @t431 () (forall @t164 (or (not (_ @t105 @t427 @t56)) @t163 (_ @t105 @t430 @t162) @t161 (_ @t105 @t424 @t160)))) % 151.42/152.76 (define @t432 () (not @t431)) % 151.42/152.76 (define @t433 () (@quantifiers_skolemize @t166 2)) % 151.42/152.76 (define @t434 () (_ @t105 @t430 @t433)) % 151.42/152.76 (define @t435 () (_ @t105 @t427 @t433)) % 151.42/152.76 (define @t436 () (not @t435)) % 151.42/152.76 (define @t437 () (or @t436 @t434 @t432 @t429 @t425)) % 151.42/152.76 (define @t438 () (not @t437)) % 151.42/152.76 (define @t439 () (@list true)) % 151.42/152.76 (define @t440 () (@list @t437)) % 151.42/152.76 (define @t441 () (forall @t70 (tptp.ra @t67 @t67))) % 151.42/152.76 (define @t442 () (forall @t83 (or (not (tptp.rb @t67 @t74)) (not (tptp.rb @t67 @t80)) (tptp.rb @t74 @t80)))) % 151.42/152.76 (define @t443 () (_ @t105 (_ @t107 @t110 @t433) @t423)) % 151.42/152.76 (define @t444 () (or @t436 @t429 @t443)) % 151.42/152.76 (define @t445 () (not @t443)) % 151.42/152.76 (define @t446 () (_ @t105 (_ @t107 @t106 @t433) @t433)) % 151.42/152.76 (define @t447 () (not @t446)) % 151.42/152.76 (define @t448 () (or @t436 @t447 @t434 @t445 @t425)) % 151.42/152.76 (define @t449 () (not @t448)) % 151.42/152.76 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 151.42/152.76 (assume @p2 (_ tptp.mreflexive tptp.ra)) % 151.42/152.76 (assume @p3 (_ tptp.mreflexive tptp.rb)) % 151.42/152.76 (assume @p4 (_ tptp.mtransitive tptp.ra)) % 151.42/152.76 (assume @p5 (_ tptp.mtransitive tptp.rb)) % 151.42/152.76 (assume @p6 (_ tptp.meuclidean tptp.ra)) % 151.42/152.76 (assume @p7 (_ tptp.meuclidean tptp.rb)) % 151.42/152.76 (assume @p8 @t16) % 151.42/152.76 (assume @p9 true) % 151.42/152.76 (step @p10 (= tptp.meq_ind @t20) :rule refl :args (@t20)) % 151.42/152.76 (step @p11 (= tptp.meq_prop @t23) :rule refl :args (@t23)) % 151.42/152.76 (step @p12 (= tptp.mnot @t28) :rule refl :args (@t28)) % 151.42/152.76 (step @p13 (= tptp.mor @t31) :rule refl :args (@t31)) % 151.42/152.76 (step @p14 (= tptp.mand @t36) :rule refl :args (@t36)) % 151.42/152.76 (step @p15 (= tptp.mimplies @t37) :rule refl :args (@t37)) % 151.42/152.76 (step @p16 (= tptp.mimplied @t38) :rule refl :args (@t38)) % 151.42/152.76 (step @p17 (= tptp.mequiv @t39) :rule refl :args (@t39)) % 151.42/152.76 (step @p18 (= tptp.mxor @t40) :rule refl :args (@t40)) % 151.42/152.76 (step @p19 (= tptp.mforall_ind @t43) :rule refl :args (@t43)) % 151.42/152.76 (step @p20 (= tptp.mforall_prop @t51) :rule refl :args (@t51)) % 151.42/152.76 (step @p21 (= tptp.mexists_ind @t52) :rule refl :args (@t52)) % 151.42/152.76 (step @p22 (= tptp.mexists_prop @t53) :rule refl :args (@t53)) % 151.42/152.76 (step @p23 (= tptp.mtrue @t55) :rule refl :args (@t55)) % 151.42/152.76 (step @p24 (= tptp.mbox @t65) :rule refl :args (@t65)) % 151.42/152.76 (step @p25 (= tptp.mdia @t66) :rule refl :args (@t66)) % 151.42/152.76 (step @p26 (= tptp.mreflexive @t73) :rule refl :args (@t73)) % 151.42/152.76 (step @p27 (= tptp.msymmetric @t77) :rule refl :args (@t77)) % 151.42/152.76 (step @p28 (= tptp.mserial @t79) :rule refl :args (@t79)) % 151.42/152.76 (step @p29 (= tptp.mtransitive @t84) :rule refl :args (@t84)) % 151.42/152.76 (step @p30 (= tptp.meuclidean @t87) :rule refl :args (@t87)) % 151.42/152.76 (step @p31 (= tptp.mpartially_functional @t89) :rule refl :args (@t89)) % 151.42/152.76 (step @p32 (= tptp.mfunctional @t91) :rule refl :args (@t91)) % 151.42/152.76 (step @p33 (= tptp.mweakly_dense @t94) :rule refl :args (@t94)) % 151.42/152.76 (step @p34 (= tptp.mweakly_connected @t95) :rule refl :args (@t95)) % 151.42/152.76 (step @p35 (= tptp.mweakly_directed @t96) :rule refl :args (@t96)) % 151.42/152.76 (step @p36 (= tptp.mvalid @t99) :rule refl :args (@t99)) % 151.42/152.76 (step @p37 (= tptp.minvalid @t100) :rule refl :args (@t100)) % 151.42/152.76 (step @p38 (= tptp.msatisfiable @t101) :rule refl :args (@t101)) % 151.42/152.76 (step @p39 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102)) % 151.42/152.76 (step @p40 :rule bool-double-not-elim :args (@t123)) % 151.42/152.76 (step @p41 :rule refl :args (@t134)) % 151.42/152.76 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t134 (not @t133)))) % 151.42/152.76 (step @p43 :rule cnf_or_neg :args (@t134 0)) % 151.42/152.76 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 151.42/152.76 (step @p45 :rule reordering :premises (@p44) :args ((or @t123 @t134))) % 151.42/152.76 (step @p46 :rule cnf_or_neg :args (@t134 1)) % 151.42/152.76 (step @p47 :rule bool-double-not-elim :args (@t130)) % 151.42/152.76 (step @p48 :rule nary_cong :premises (@p41 @p47) :args ((or @t134 (not @t131)))) % 151.42/152.76 (step @p49 :rule cnf_or_neg :args (@t134 2)) % 151.42/152.76 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 151.42/152.76 (step @p51 :rule reordering :premises (@p50) :args ((or @t130 @t134))) % 151.42/152.76 (step @p52 :rule bool-double-not-elim :args (@t127)) % 151.42/152.76 (step @p53 :rule nary_cong :premises (@p41 @p52) :args ((or @t134 (not @t128)))) % 151.42/152.76 (step @p54 :rule cnf_or_neg :args (@t134 3)) % 151.42/152.76 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 151.42/152.76 (step @p56 :rule reordering :premises (@p55) :args ((or @t127 @t134))) % 151.42/152.76 (step @p57 :rule cnf_or_neg :args (@t134 4)) % 151.42/152.76 (assume-push @p574 @t130) % 151.42/152.76 (step @p59 :rule instantiate :premises (@p574) :args ((@list @t124 @t120 @t124))) % 151.42/152.76 (step-pop @p575 :rule scope :premises (@p59)) % 151.42/152.76 (step @p60 :rule process_scope :premises (@p575) :args (@t139)) % 151.42/152.76 (step @p62 :rule implies_elim :premises (@p60)) % 151.42/152.76 ; WARNING: add trust step for TRUST % 151.42/152.76 ; trust TRUST PREPROCESS_HO_ELIM % 151.42/152.76 (step @p63 :rule trust :premises () :args ((= @t141 (forall @t83 (or (not (_ @t105 @t140 @t74)) (not (_ @t105 @t140 @t80)) (_ @t105 (_ @t107 @t106 @t74) @t80)))))) % 151.42/152.76 (step @p64 :rule beta-reduce :args ((= (_ @t145 tptp.ra) @t141))) % 151.42/152.76 (step @p65 :rule refl :args (tptp.ra)) % 151.42/152.76 (step @p66 :rule refl :args (@t142)) % 151.42/152.76 (step @p67 :rule refl :args (@t82)) % 151.42/152.76 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t82 @t142))) % 151.42/152.76 (step @p69 :rule symm :premises (@p68)) % 151.42/152.76 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 151.42/152.76 (step @p71 :rule refl :args (@t143)) % 151.42/152.76 (step @p72 :rule refl :args (@t81)) % 151.42/152.76 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t81 @t143))) % 151.42/152.76 (step @p74 :rule symm :premises (@p73)) % 151.42/152.76 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 151.42/152.76 (step @p76 :rule cong :premises (@p75) :args (@t146)) % 151.42/152.76 (step @p77 :rule refl :args (@t144)) % 151.42/152.76 (step @p78 :rule refl :args (@t76)) % 151.42/152.76 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t76 @t144))) % 151.42/152.76 (step @p80 :rule symm :premises (@p79)) % 151.42/152.76 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 151.42/152.76 (step @p82 :rule cong :premises (@p81) :args (@t147)) % 151.42/152.76 (step @p83 :rule nary_cong :premises (@p82 @p76 @p70) :args (@t148)) % 151.42/152.76 (step @p84 :rule cong :premises (@p83) :args ((forall @t83 @t148))) % 151.42/152.76 (step @p85 :rule aci_norm :args ((= (or (or @t147 @t146) @t82) @t148))) % 151.42/152.76 (step @p86 :rule bool-and-de-morgan :args (@t76 @t81 true)) % 151.42/152.76 (step @p87 :rule nary_cong :premises (@p86 @p67) :args ((or (not @t85) @t82))) % 151.42/152.76 (step @p88 :rule trans :premises (@p87 @p85)) % 151.42/152.76 (step @p89 :rule bool-impl-elim :args (@t85 @t82)) % 151.42/152.76 (step @p90 :rule trans :premises (@p89 @p88)) % 151.42/152.76 (step @p91 :rule cong :premises (@p90) :args (@t86)) % 151.42/152.76 (step @p92 :rule trans :premises (@p91 @p84)) % 151.42/152.76 (step @p93 :rule cong :premises (@p92) :args (@t87)) % 151.42/152.76 (step @p94 :rule trans :premises (@p30 @p93)) % 151.42/152.76 (step @p95 :rule ho_cong :premises (@p94 @p65)) % 151.42/152.76 (step @p96 :rule trans :premises (@p95 @p64)) % 151.42/152.76 (step @p97 :rule trans :premises (@p96 @p63)) % 151.42/152.76 (step @p98 :rule eq_resolve :premises (@p6 @p97)) % 151.42/152.76 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t121 @t124 @t120))) % 151.42/152.76 (step @p100 :rule cnf_or_pos :args (@t149)) % 151.42/152.76 (step @p101 :rule reordering :premises (@p100) :args ((or @t133 @t128 @t137 (not @t149)))) % 151.42/152.76 ; trust TRUST PREPROCESS_HO_ELIM % 151.42/152.76 (step @p102 :rule trust :premises () :args ((= @t151 (forall @t70 (_ @t105 @t150 @t67))))) % 151.42/152.76 (step @p103 :rule beta-reduce :args ((= (_ @t153 tptp.rb) @t151))) % 151.42/152.76 (step @p104 :rule refl :args (tptp.rb)) % 151.42/152.76 (step @p105 :rule refl :args (@t152)) % 151.42/152.76 (step @p106 :rule refl :args (@t69)) % 151.42/152.76 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t69 @t152))) % 151.42/152.76 (step @p108 :rule symm :premises (@p107)) % 151.42/152.76 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 151.42/152.76 (step @p110 :rule cong :premises (@p109) :args (@t71)) % 151.42/152.76 (step @p111 :rule cong :premises (@p110) :args (@t73)) % 151.42/152.76 (step @p112 :rule trans :premises (@p26 @p111)) % 151.42/152.76 (step @p113 :rule ho_cong :premises (@p112 @p104)) % 151.42/152.76 (step @p114 :rule trans :premises (@p113 @p103)) % 151.42/152.76 (step @p115 :rule trans :premises (@p114 @p102)) % 151.42/152.76 (step @p116 :rule eq_resolve :premises (@p3 @p115)) % 151.42/152.76 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t124))) % 151.42/152.76 (step @p118 :rule cnf_or_pos :args (@t139)) % 151.42/152.76 (step @p119 :rule reordering :premises (@p118) :args ((or @t132 @t128 @t126 @t138 @t136 (not @t139)))) % 151.42/152.76 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p101 @p99 @p62 @p57 @p56 @p51 @p46 @p45) :args (@t134 (@list false false false false true false false true false) (@list @t135 @t137 @t149 @t139 @t126 @t127 @t130 @t132 @t123))) % 151.42/152.76 (step @p121 :rule refl :args (@t154)) % 151.42/152.76 (step @p122 :rule bool-double-not-elim :args (@t119)) % 151.42/152.76 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t155) @t154))) % 151.42/152.76 (assume-push @p576 @t155) % 151.42/152.76 (step @p125 :rule skolemize :premises (@p576)) % 151.42/152.76 (step-pop @p577 :rule scope :premises (@p125)) % 151.42/152.76 (step @p126 :rule process_scope :premises (@p577) :args (@t154)) % 151.42/152.76 (step @p128 :rule implies_elim :premises (@p126)) % 151.42/152.76 (step @p129 :rule eq_resolve :premises (@p128 @p123)) % 151.42/152.76 (step @p130 :rule chain_m_resolution :premises (@p129 @p120) :args (@t119 @t156 (@list @t134))) % 151.42/152.76 ; trust TRUST PREPROCESS_HO_ELIM % 151.42/152.76 (step @p131 :rule trust :premises () :args ((= (not (and @t190 @t178)) (not (and @t119 @t166))))) % 151.42/152.76 (step @p132 :rule quant-merge-prenex :args ((= (forall @t54 @t192) @t178))) % 151.42/152.76 (step @p133 :rule beta-reduce :args ((= @t194 @t192))) % 151.42/152.76 (step @p134 :rule cong :premises (@p133) :args (@t195)) % 151.42/152.76 (step @p135 :rule trans :premises (@p134 @p132)) % 151.42/152.76 (step @p136 :rule beta-reduce :args ((= (_ @t197 @t193) @t195))) % 151.42/152.76 (step @p137 :rule trans :premises (@p136 @p135)) % 151.42/152.76 (step @p138 :rule aci_norm :args ((= @t200 @t177))) % 151.42/152.76 (step @p139 :rule cong :premises (@p138) :args (@t201)) % 151.42/152.76 (step @p140 :rule quant-merge-prenex :args ((= (forall @t48 @t202) @t201))) % 151.42/152.76 (step @p141 :rule alpha_equiv :args (@t203 (@list @t167 @t157) (@list @t205 @t204))) % 151.42/152.76 (step @p142 :rule alpha_equiv :args (@t206 (@list @t165) @t207)) % 151.42/152.76 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t208)) % 151.42/152.76 (step @p144 :rule quant-miniscope-or :args ((= @t202 @t208))) % 151.42/152.76 (step @p145 :rule trans :premises (@p144 @p143)) % 151.42/152.76 (step @p146 :rule symm :premises (@p145)) % 151.42/152.76 (step @p147 :rule cong :premises (@p146) :args ((forall @t48 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beta-reduce :args ((= (_ @t287 @t396) @t400))) % 151.42/152.76 (step @p380 :rule trans :premises (@p379 @p378)) % 151.42/152.76 (step @p381 :rule aci_norm :args ((= @t403 @t395))) % 151.42/152.76 (step @p382 :rule cong :premises (@p381) :args (@t404)) % 151.42/152.76 (step @p383 :rule quant-merge-prenex :args ((= (forall @t62 @t405) @t404))) % 151.42/152.76 (step @p384 :rule alpha_equiv :args (@t406 (@list @t109) @t295)) % 151.42/152.76 (step @p385 :rule alpha_equiv :args (@t407 (@list @t113) @t298)) % 151.42/152.76 (step @p386 :rule refl :args (@t185)) % 151.42/152.76 (step @p387 :rule nary_cong :premises (@p386 @p385 @p384) :args (@t408)) % 151.42/152.76 (step @p388 :rule quant-miniscope-or :args ((= @t405 @t408))) % 151.42/152.76 (step @p389 :rule trans :premises (@p388 @p387)) % 151.42/152.76 (step @p390 :rule symm :premises (@p389)) % 151.42/152.76 (step @p391 :rule cong :premises (@p390) :args ((forall @t62 @t409))) % 151.42/152.76 (step @p392 :rule trans :premises (@p391 @p383)) % 151.42/152.76 (step @p393 :rule trans :premises (@p392 @p382)) % 151.42/152.76 (step @p394 :rule aci_norm :args ((= (or @t185 @t307) @t409))) % 151.42/152.76 (step @p395 :rule refl :args (@t185)) % 151.42/152.76 (step @p396 :rule nary_cong :premises (@p395 @p253) :args (@t410)) % 151.42/152.76 (step @p397 :rule trans :premises (@p396 @p394)) % 151.42/152.76 (step @p398 :rule cong :premises (@p397) :args (@t411)) % 151.42/152.76 (step @p399 :rule trans :premises (@p398 @p393)) % 151.42/152.76 (step @p400 :rule cong :premises (@p399) :args (@t412)) % 151.42/152.76 (step @p401 :rule beta-reduce :args ((= (_ @t322 @t310) @t412))) % 151.42/152.76 (step @p402 :rule trans :premises (@p401 @p400)) % 151.42/152.76 (step @p403 :rule ho_cong :premises (@p273 @p279)) % 151.42/152.76 (step @p404 :rule trans :premises (@p403 @p402)) % 151.42/152.76 (step @p405 :rule ho_cong :premises (@p282 @p404)) % 151.42/152.76 (step @p406 :rule trans :premises (@p405 @p380)) % 151.42/152.76 (step @p407 :rule ho_cong :premises (@p406 @p374)) % 151.42/152.76 (step @p408 :rule trans :premises (@p407 @p364)) % 151.42/152.76 (step @p409 :rule ho_cong :premises (@p408 @p165)) % 151.42/152.76 (step @p410 :rule trans :premises (@p409 @p356)) % 151.42/152.76 (step @p411 :rule cong :premises (@p410) :args (@t413)) % 151.42/152.76 (step @p412 :rule ho_cong :premises (@p290 @p411)) % 151.42/152.76 (step @p413 :rule trans :premises (@p412 @p355)) % 151.42/152.76 (step @p414 :rule ho_cong :premises (@p413 @p165)) % 151.42/152.76 (step @p415 :rule trans :premises (@p414 @p331)) % 151.42/152.76 (step @p416 :rule cong :premises (@p415) :args (@t414)) % 151.42/152.76 (step @p417 :rule ho_cong :premises (@p290 @p416)) % 151.42/152.76 (step @p418 :rule trans :premises (@p417 @p330)) % 151.42/152.76 (step @p419 :rule ho_cong :premises (@p298 @p418)) % 151.42/152.76 (step @p420 :rule trans :premises (@p419 @p306)) % 151.42/152.76 (step @p421 :rule nary_cong :premises (@p420 @p300) :args (@t415)) % 151.42/152.76 (step @p422 :rule cong :premises (@p421) :args ((not @t415))) % 151.42/152.76 (step @p423 :rule refl :args (@t271)) % 151.42/152.76 (step @p424 :rule refl :args (@t57)) % 151.42/152.76 (step @p425 :rule cong :premises (@p424 @p423) :args ((= @t57 @t271))) % 151.42/152.76 (step @p426 :rule symm :premises (@p425)) % 151.42/152.76 (step @p427 :rule eq_resolve :premises (@p424 @p426)) % 151.42/152.76 (step @p428 :rule refl :args (@t273)) % 151.42/152.76 (step @p429 :rule refl :args (@t59)) % 151.42/152.76 (step @p430 :rule cong :premises (@p429 @p428) :args ((= @t59 @t273))) % 151.42/152.76 (step @p431 :rule symm :premises (@p430)) % 151.42/152.76 (step @p432 :rule eq_resolve :premises (@p429 @p431)) % 151.42/152.76 (step @p433 :rule cong :premises (@p432) :args (@t60)) % 151.42/152.76 (step @p434 :rule nary_cong :premises (@p433 @p427) :args (@t61)) % 151.42/152.76 (step @p435 :rule cong :premises (@p434) :args (@t63)) % 151.42/152.76 (step @p436 :rule cong :premises (@p435) :args (@t65)) % 151.42/152.76 (step @p437 :rule trans :premises (@p24 @p436)) % 151.42/152.76 (step @p438 :rule ho_cong :premises (@p437 @p104)) % 151.42/152.76 (step @p439 :rule ho_cong :premises (@p438 @p206)) % 151.42/152.76 (step @p440 :rule ho_cong :premises (@p438 @p217)) % 151.42/152.76 (step @p441 :rule ho_cong :premises (@p13 @p440)) % 151.42/152.76 (step @p442 :rule ho_cong :premises (@p441 @p439)) % 151.42/152.76 (step @p443 :rule ho_cong :premises (@p437 @p65)) % 151.42/152.76 (step @p444 :rule ho_cong :premises (@p443 @p217)) % 151.42/152.76 (step @p445 :rule ho_cong :premises (@p13 @p444)) % 151.42/152.76 (step @p446 :rule ho_cong :premises (@p445 @p439)) % 151.42/152.76 (step @p447 :rule ho_cong :premises (@p438 @p446)) % 151.42/152.76 (step @p448 :rule beta-reduce :args ((= (_ @t417 @t1) @t286))) % 151.42/152.76 (step @p449 :rule beta-reduce :args ((= (_ (lambda @t270 @t416) @t29) @t417))) % 151.42/152.76 (step @p450 :rule refl :args (@t29)) % 151.42/152.76 (step @p451 :rule beta-reduce :args ((= @t419 @t26))) % 151.42/152.76 (step @p452 :rule nary_cong :premises (@p451 @p210) :args (@t420)) % 151.42/152.76 (step @p453 :rule cong :premises (@p452) :args (@t421)) % 151.42/152.76 (step @p454 :rule beta-reduce :args ((= (_ @t31 @t418) @t421))) % 151.42/152.76 (step @p455 :rule trans :premises (@p454 @p453)) % 151.42/152.76 (step @p456 :rule beta-reduce :args ((= (_ @t28 @t24) @t418))) % 151.42/152.76 (step @p457 :rule ho_cong :premises (@p220 @p456)) % 151.42/152.76 (step @p458 :rule trans :premises (@p457 @p455)) % 151.42/152.76 (step @p459 :rule ho_cong :premises (@p458 @p450)) % 151.42/152.76 (step @p460 :rule trans :premises (@p459 @p449)) % 151.42/152.76 (step @p461 :rule ho_cong :premises (@p460 @p165)) % 151.42/152.76 (step @p462 :rule trans :premises (@p461 @p448)) % 151.42/152.76 (step @p463 :rule refl :args (@t24)) % 151.42/152.76 (step @p464 :rule ho_cong :premises (@p12 @p463)) % 151.42/152.76 (step @p465 :rule ho_cong :premises (@p13 @p464)) % 151.42/152.76 (step @p466 :rule ho_cong :premises (@p465 @p450)) % 151.42/152.76 (step @p467 :rule ho_cong :premises (@p466 @p165)) % 151.42/152.76 (step @p468 :rule trans :premises (@p467 @p462)) % 151.42/152.76 (step @p469 :rule cong :premises (@p468) :args (@t37)) % 151.42/152.76 (step @p470 :rule trans :premises (@p15 @p469)) % 151.42/152.76 (step @p471 :rule ho_cong :premises (@p470 @p447)) % 151.42/152.76 (step @p472 :rule ho_cong :premises (@p471 @p442)) % 151.42/152.76 (step @p473 :rule ho_cong :premises (@p472 @p165)) % 151.42/152.76 (step @p474 :rule cong :premises (@p473) :args (@t10)) % 151.42/152.76 (step @p475 :rule refl :args (@t230)) % 151.42/152.76 (step @p476 :rule refl :args (@t47)) % 151.42/152.76 (step @p477 :rule cong :premises (@p476 @p475) :args ((= @t47 @t230))) % 151.42/152.76 (step @p478 :rule symm :premises (@p477)) % 151.42/152.76 (step @p479 :rule eq_resolve :premises (@p476 @p478)) % 151.42/152.76 (step @p480 :rule cong :premises (@p479) :args (@t49)) % 151.42/152.76 (step @p481 :rule cong :premises (@p480) :args (@t51)) % 151.42/152.76 (step @p482 :rule trans :premises (@p20 @p481)) % 151.42/152.76 (step @p483 :rule ho_cong :premises (@p482 @p474)) % 151.42/152.76 (step @p484 :rule ho_cong :premises (@p483 @p165)) % 151.42/152.76 (step @p485 :rule cong :premises (@p484) :args (@t12)) % 151.42/152.76 (step @p486 :rule ho_cong :premises (@p482 @p485)) % 151.42/152.76 (step @p487 :rule refl :args (@t196)) % 151.42/152.76 (step @p488 :rule refl :args (@t25)) % 151.42/152.76 (step @p489 :rule cong :premises (@p488 @p487) :args ((= @t25 @t196))) % 151.42/152.76 (step @p490 :rule symm :premises (@p489)) % 151.42/152.76 (step @p491 :rule eq_resolve :premises (@p488 @p490)) % 151.42/152.76 (step @p492 :rule cong :premises (@p491) :args (@t97)) % 151.42/152.76 (step @p493 :rule cong :premises (@p492) :args (@t99)) % 151.42/152.76 (step @p494 :rule trans :premises (@p36 @p493)) % 151.42/152.76 (step @p495 :rule ho_cong :premises (@p494 @p486)) % 151.42/152.76 (step @p496 :rule ho_cong :premises (@p443 @p206)) % 151.42/152.76 (step @p497 :rule ho_cong :premises (@p445 @p496)) % 151.42/152.76 (step @p498 :rule ho_cong :premises (@p443 @p446)) % 151.42/152.76 (step @p499 :rule ho_cong :premises (@p470 @p498)) % 151.42/152.76 (step @p500 :rule ho_cong :premises (@p499 @p497)) % 151.42/152.76 (step @p501 :rule ho_cong :premises (@p500 @p165)) % 151.42/152.76 (step @p502 :rule cong :premises (@p501) :args (@t13)) % 151.42/152.76 (step @p503 :rule ho_cong :premises (@p482 @p502)) % 151.42/152.76 (step @p504 :rule ho_cong :premises (@p503 @p165)) % 151.42/152.76 (step @p505 :rule cong :premises (@p504) :args (@t14)) % 151.42/152.76 (step @p506 :rule ho_cong :premises (@p482 @p505)) % 151.42/152.76 (step @p507 :rule ho_cong :premises (@p494 @p506)) % 151.42/152.76 (step @p508 :rule nary_cong :premises (@p507 @p495) :args (@t15)) % 151.42/152.76 (step @p509 :rule cong :premises (@p508) :args (@t16)) % 151.42/152.76 (step @p510 :rule trans :premises (@p509 @p422)) % 151.42/152.76 (step @p511 :rule trans :premises (@p510 @p131)) % 151.42/152.76 (step @p512 :rule eq_resolve :premises (@p8 @p511)) % 151.42/152.76 (step @p513 :rule not_and :premises (@p512)) % 151.42/152.76 (step @p514 :rule chain_m_resolution :premises (@p513 @p130) :args (@t422 @t156 (@list @t119))) % 151.42/152.76 (step @p515 :rule refl :args (@t438)) % 151.42/152.76 (step @p516 :rule bool-double-not-elim :args (@t166)) % 151.42/152.76 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or (not @t422) @t438))) % 151.42/152.76 (assume-push @p578 @t422) % 151.42/152.76 (step @p519 :rule skolemize :premises (@p578)) % 151.42/152.76 (step-pop @p579 :rule scope :premises (@p519)) % 151.42/152.76 (step @p520 :rule process_scope :premises (@p579) :args (@t438)) % 151.42/152.76 (step @p522 :rule implies_elim :premises (@p520)) % 151.42/152.76 (step @p523 :rule eq_resolve :premises (@p522 @p517)) % 151.42/152.76 (step @p524 :rule chain_m_resolution :premises (@p523 @p514) :args (@t438 @t439 (@list @t166))) % 151.42/152.76 (step @p525 :rule bool-double-not-elim :args (@t431)) % 151.42/152.76 (step @p526 :rule refl :args (@t437)) % 151.42/152.76 (step @p527 :rule nary_cong :premises (@p526 @p525) :args ((or @t437 (not @t432)))) % 151.42/152.76 (step @p528 :rule cnf_or_neg :args (@t437 2)) % 151.42/152.76 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 151.42/152.76 (step @p530 :rule reordering :premises (@p529) :args ((or @t431 @t437))) % 151.42/152.76 (step @p531 :rule chain_m_resolution :premises (@p530 @p524) :args (@t431 @t439 @t440)) % 151.42/152.76 ; trust TRUST PREPROCESS_HO_ELIM % 151.42/152.76 (step @p532 :rule trust :premises () :args ((= @t441 (forall @t70 (_ @t105 @t140 @t67))))) % 151.42/152.76 (step @p533 :rule beta-reduce :args ((= (_ @t153 tptp.ra) @t441))) % 151.42/152.76 (step @p534 :rule ho_cong :premises (@p112 @p65)) % 151.42/152.76 (step @p535 :rule trans :premises (@p534 @p533)) % 151.42/152.76 (step @p536 :rule trans :premises (@p535 @p532)) % 151.42/152.76 (step @p537 :rule eq_resolve :premises (@p2 @p536)) % 151.42/152.76 (step @p538 :rule instantiate :premises (@p537) :args ((@list @t433))) % 151.42/152.76 ; trust TRUST PREPROCESS_HO_ELIM % 151.42/152.76 (step @p539 :rule trust :premises () :args ((= @t442 (forall @t83 (or (not (_ @t105 @t150 @t74)) (not (_ @t105 @t150 @t80)) (_ @t105 (_ @t107 @t110 @t74) @t80)))))) % 151.42/152.76 (step @p540 :rule beta-reduce :args ((= (_ @t145 tptp.rb) @t442))) % 151.42/152.76 (step @p541 :rule ho_cong :premises (@p94 @p104)) % 151.42/152.76 (step @p542 :rule trans :premises (@p541 @p540)) % 151.42/152.76 (step @p543 :rule trans :premises (@p542 @p539)) % 151.42/152.76 (step @p544 :rule eq_resolve :premises (@p7 @p543)) % 151.42/152.76 (step @p545 :rule instantiate :premises (@p544) :args ((@list @t426 @t433 @t423))) % 151.42/152.77 (step @p546 :rule bool-double-not-elim :args (@t428)) % 151.42/152.77 (step @p547 :rule nary_cong :premises (@p526 @p546) :args ((or @t437 (not @t429)))) % 151.42/152.77 (step @p548 :rule cnf_or_neg :args (@t437 3)) % 151.42/152.77 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 151.42/152.77 (step @p550 :rule reordering :premises (@p549) :args ((or @t428 @t437))) % 151.42/152.77 (step @p551 :rule chain_m_resolution :premises (@p550 @p524) :args (@t428 @t439 @t440)) % 151.42/152.77 (step @p552 :rule bool-double-not-elim :args (@t435)) % 151.42/152.77 (step @p553 :rule nary_cong :premises (@p526 @p552) :args ((or @t437 (not @t436)))) % 151.42/152.77 (step @p554 :rule cnf_or_neg :args (@t437 0)) % 151.42/152.77 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 151.42/152.77 (step @p556 :rule reordering :premises (@p555) :args ((or @t435 @t437))) % 151.42/152.77 (step @p557 :rule chain_m_resolution :premises (@p556 @p524) :args (@t435 @t439 @t440)) % 151.42/152.77 (step @p558 :rule cnf_or_pos :args (@t444)) % 151.42/152.77 (step @p559 :rule reordering :premises (@p558) :args ((or @t436 @t429 @t443 (not @t444)))) % 151.42/152.77 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p551 @p545) :args (@t443 (@list false false false) (@list @t435 @t428 @t444))) % 151.42/152.77 (step @p561 :rule cnf_or_neg :args (@t437 4)) % 151.42/152.77 (step @p562 :rule chain_m_resolution :premises (@p561 @p524) :args ((not @t425) @t439 @t440)) % 151.42/152.77 (step @p563 :rule cnf_or_neg :args (@t437 1)) % 151.42/152.77 (step @p564 :rule chain_m_resolution :premises (@p563 @p524) :args ((not @t434) @t439 @t440)) % 151.42/152.77 (step @p565 :rule cnf_or_pos :args (@t448)) % 151.42/152.77 (step @p566 :rule reordering :premises (@p565) :args ((or @t436 @t434 @t425 @t445 @t447 @t449))) % 151.42/152.77 (step @p567 :rule chain_m_resolution :premises (@p566 @p557 @p564 @p562 @p560 @p538) :args (@t449 (@list false true true false false) (@list @t435 @t434 @t425 @t443 @t446))) % 151.42/152.77 (assume-push @p580 @t431) % 151.42/152.77 (step @p569 :rule instantiate :premises (@p580) :args ((@list @t433 @t433 @t423))) % 151.42/152.77 (step-pop @p581 :rule scope :premises (@p569)) % 151.42/152.77 (step @p570 :rule process_scope :premises (@p581) :args (@t448)) % 151.42/152.77 (step @p572 :rule implies_elim :premises (@p570)) % 151.42/152.77 (step @p573 false :rule chain_m_resolution :premises (@p572 @p567 @p531) :args (false (@list true false) (@list @t448 @t431))) % 151.42/152.77 ) % 151.42/152.77 % SZS output end Proof % 151.42/152.77 % cvc5 exiting %------------------------------------------------------------------------------