%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO470^6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:12:54 AM UTC 2026 % Result : Theorem 150.97s 151.45s % Output : Proof 150.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO470^6 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:14:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 150.97/151.45 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.97/151.45 --- 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... % 150.97/151.45 --- 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... % 150.97/151.45 --- Run --ho-elim --full-saturate-quant at 18s... % 150.97/151.45 % SZS status Theorem % 150.97/151.45 % SZS output start Proof % 150.97/151.45 ( % 150.97/151.45 (declare-sort $$unsorted 0) % 150.97/151.45 (declare-sort tptp.mu 0) % 150.97/151.45 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 150.97/151.45 (declare-const tptp.p (-> $$unsorted Bool)) % 150.97/151.45 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.97/151.45 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 150.97/151.45 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.97/151.45 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.97/151.45 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 150.97/151.45 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 150.97/151.45 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.97/151.45 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.97/151.45 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.97/151.45 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 150.97/151.45 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.97/151.45 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.97/151.45 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.97/151.45 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 150.97/151.45 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.97/151.45 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 150.97/151.45 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 150.97/151.45 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.97/151.45 (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)))))))) % 150.97/151.45 (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)))))))) % 150.97/151.45 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 150.97/151.45 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 150.97/151.45 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 150.97/151.45 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 150.97/151.45 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 150.97/151.45 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 150.97/151.45 (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))))))))))))) % 150.97/151.45 (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)))))) % 150.97/151.45 (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))))))) % 150.97/151.45 (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)))))) % 150.97/151.45 (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))))))) % 150.97/151.45 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 150.97/151.45 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 150.97/151.45 (define @t1 () (_ tptp.mbox_s5 tptp.p)) % 150.97/151.45 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ tptp.mdia_s5 (_ tptp.mdia_s5 @t1))) @t1)))) % 150.97/151.45 (define @t3 () (@var "Y" tptp.mu)) % 150.97/151.45 (define @t4 () (@var "X" tptp.mu)) % 150.97/151.45 (define @t5 () (@var "W" $$unsorted)) % 150.97/151.45 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 150.97/151.45 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 150.97/151.45 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 150.97/151.45 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 150.97/151.45 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 150.97/151.45 (define @t11 () (_ @t10 @t5)) % 150.97/151.45 (define @t12 () (not @t11)) % 150.97/151.45 (define @t13 () (@list @t10 @t5)) % 150.97/151.45 (define @t14 () (lambda @t13 @t12)) % 150.97/151.45 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 150.97/151.45 (define @t16 () (_ @t15 @t5)) % 150.97/151.45 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 150.97/151.45 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 150.97/151.45 (define @t19 () (_ tptp.mnot @t15)) % 150.97/151.45 (define @t20 () (_ tptp.mnot @t10)) % 150.97/151.45 (define @t21 () (_ tptp.mor @t20)) % 150.97/151.45 (define @t22 () (@list @t10 @t15 @t18)) % 150.97/151.45 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 150.97/151.45 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 150.97/151.45 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 150.97/151.45 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 150.97/151.45 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 150.97/151.45 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.97/151.45 (define @t29 () (_ @t28 @t4)) % 150.97/151.45 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 150.97/151.45 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 150.97/151.45 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.97/151.45 (define @t33 () (_ @t32 @t31)) % 150.97/151.45 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 150.97/151.45 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 150.97/151.45 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 150.97/151.45 (define @t37 () (@list @t5)) % 150.97/151.45 (define @t38 () (lambda @t37 true)) % 150.97/151.45 (define @t39 () (@var "V" $$unsorted)) % 150.97/151.45 (define @t40 () (_ @t10 @t39)) % 150.97/151.45 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.97/151.45 (define @t42 () (@list @t39)) % 150.97/151.45 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 150.97/151.45 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 150.97/151.45 (define @t45 () (@var "S" $$unsorted)) % 150.97/151.45 (define @t46 () (_ @t41 @t45)) % 150.97/151.45 (define @t47 () (_ @t46 @t45)) % 150.97/151.45 (define @t48 () (@list @t45)) % 150.97/151.45 (define @t49 () (forall @t48 @t47)) % 150.97/151.45 (define @t50 () (@list @t41)) % 150.97/151.45 (define @t51 () (lambda @t50 @t49)) % 150.97/151.45 (define @t52 () (@var "T" $$unsorted)) % 150.97/151.45 (define @t53 () (_ @t41 @t52)) % 150.97/151.45 (define @t54 () (_ @t53 @t45)) % 150.97/151.45 (define @t55 () (_ @t46 @t52)) % 150.97/151.45 (define @t56 () (@list @t45 @t52)) % 150.97/151.45 (define @t57 () (forall @t56 (=> @t55 @t54))) % 150.97/151.45 (define @t58 () (lambda @t50 @t57)) % 150.97/151.45 (define @t59 () (@list @t52)) % 150.97/151.45 (define @t60 () (lambda @t50 (forall @t48 (exists @t59 @t55)))) % 150.97/151.45 (define @t61 () (@var "U" $$unsorted)) % 150.97/151.45 (define @t62 () (_ @t46 @t61)) % 150.97/151.45 (define @t63 () (_ @t53 @t61)) % 150.97/151.45 (define @t64 () (and @t55 @t63)) % 150.97/151.45 (define @t65 () (@list @t45 @t52 @t61)) % 150.97/151.45 (define @t66 () (forall @t65 (=> @t64 @t62))) % 150.97/151.45 (define @t67 () (lambda @t50 @t66)) % 150.97/151.45 (define @t68 () (and @t55 @t62)) % 150.97/151.45 (define @t69 () (lambda @t50 (forall @t65 (=> @t68 @t63)))) % 150.97/151.45 (define @t70 () (= @t52 @t61)) % 150.97/151.45 (define @t71 () (lambda @t50 (forall @t65 (=> @t68 @t70)))) % 150.97/151.45 (define @t72 () (@list @t61)) % 150.97/151.45 (define @t73 () (lambda @t50 (forall @t48 (exists @t59 (and @t55 (forall @t72 (=> @t62 @t70))))))) % 150.97/151.45 (define @t74 () (_ @t41 @t61)) % 150.97/151.45 (define @t75 () (_ @t74 @t52)) % 150.97/151.45 (define @t76 () (lambda @t50 (forall @t65 (=> @t55 (exists @t72 (and @t62 @t75)))))) % 150.97/151.45 (define @t77 () (lambda @t50 (forall @t65 (=> @t68 (or @t63 @t70 @t75))))) % 150.97/151.45 (define @t78 () (lambda @t50 (forall @t65 (=> @t68 (exists @t42 (and (_ @t53 @t39) (_ @t74 @t39))))))) % 150.97/151.45 (define @t79 () (forall @t37 @t11)) % 150.97/151.45 (define @t80 () (@list @t10)) % 150.97/151.45 (define @t81 () (lambda @t80 @t79)) % 150.97/151.45 (define @t82 () (lambda @t80 (forall @t37 @t12))) % 150.97/151.45 (define @t83 () (lambda @t80 (exists @t37 @t11))) % 150.97/151.45 (define @t84 () (lambda @t80 (exists @t37 @t12))) % 150.97/151.45 (define @t85 () (_ (_ tptp.rel_s5 @t5) @t39)) % 150.97/151.45 (define @t86 () (not @t85)) % 150.97/151.45 (define @t87 () (or @t86 @t40)) % 150.97/151.45 (define @t88 () (forall @t42 @t87)) % 150.97/151.45 (define @t89 () (lambda @t13 @t88)) % 150.97/151.45 (define @t90 () (@list @t10 @t18)) % 150.97/151.45 (define @t91 () (lambda @t90 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 150.97/151.45 (define @t92 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.97/151.45 (define @t93 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.97/151.45 (define @t94 () (_ @t93 @t92 @t45)) % 150.97/151.45 (define @t95 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.97/151.45 (define @t96 () (forall @t48 (tptp.rel_s5 @t45 @t45))) % 150.97/151.45 (define @t97 () (_ @t41 @t45 @t45)) % 150.97/151.45 (define @t98 () (@var "BOUND_VARIABLE_8431" $$unsorted)) % 150.97/151.45 (define @t99 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.97/151.45 (define @t100 () (_ @t95 @t99 @t98)) % 150.97/151.45 (define @t101 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 150.97/151.45 (define @t102 () (@list @t98)) % 150.97/151.45 (define @t103 () (not (forall @t102 (or (not (_ @t95 (_ @t93 @t92 @t101) @t98)) @t100)))) % 150.97/151.45 (define @t104 () (not (_ @t95 (_ @t93 @t92 @t39) @t101))) % 150.97/151.45 (define @t105 () (@var "BOUND_VARIABLE_8563" $$unsorted)) % 150.97/151.45 (define @t106 () (not (_ @t95 (_ @t93 @t92 @t105) @t39))) % 150.97/151.45 (define @t107 () (@list @t39 @t101)) % 150.97/151.45 (define @t108 () (_ @t95 @t99 @t39)) % 150.97/151.45 (define @t109 () (@list @t105)) % 150.97/151.45 (define @t110 () (forall @t109 (or (not (forall @t42 (or @t106 @t108))) (not (forall @t107 (or @t106 @t104 @t103)))))) % 150.97/151.45 (define @t111 () (@quantifiers_skolemize @t110 0)) % 150.97/151.45 (define @t112 () (@var "BOUND_VARIABLE_8591" $$unsorted)) % 150.97/151.45 (define @t113 () (@var "BOUND_VARIABLE_8552" $$unsorted)) % 150.97/151.45 (define @t114 () (_ @t93 @t92 @t113)) % 150.97/151.45 (define @t115 () (@var "BOUND_VARIABLE_8579" $$unsorted)) % 150.97/151.45 (define @t116 () (@var "BOUND_VARIABLE_8577" $$unsorted)) % 150.97/151.45 (define @t117 () (@list @t113 @t116 @t115 @t112)) % 150.97/151.45 (define @t118 () (forall @t117 (or (not (_ @t95 @t114 @t116)) (not (_ @t95 (_ @t93 @t92 @t116) @t115)) (not (forall @t102 (or (not (_ @t95 (_ @t93 @t92 @t115) @t98)) @t100))) (not (_ @t95 @t114 @t112)) (_ @t95 @t99 @t112)))) % 150.97/151.45 (define @t119 () (@quantifiers_skolemize @t118 1)) % 150.97/151.45 (define @t120 () (@quantifiers_skolemize @t118 0)) % 150.97/151.45 (define @t121 () (_ @t93 @t92 @t120)) % 150.97/151.45 (define @t122 () (_ @t95 @t121 @t119)) % 150.97/151.45 (define @t123 () (@quantifiers_skolemize @t118 3)) % 150.97/151.45 (define @t124 () (_ @t95 @t99 @t123)) % 150.97/151.45 (define @t125 () (_ @t95 @t121 @t123)) % 150.97/151.45 (define @t126 () (not @t125)) % 150.97/151.45 (define @t127 () (@quantifiers_skolemize @t118 2)) % 150.97/151.45 (define @t128 () (_ @t93 @t92 @t127)) % 150.97/151.45 (define @t129 () (forall @t102 (or (not (_ @t95 @t128 @t98)) @t100))) % 150.97/151.45 (define @t130 () (not @t129)) % 150.97/151.45 (define @t131 () (_ @t95 (_ @t93 @t92 @t119) @t127)) % 150.97/151.45 (define @t132 () (not @t131)) % 150.97/151.45 (define @t133 () (not @t122)) % 150.97/151.45 (define @t134 () (or @t133 @t132 @t130 @t126 @t124)) % 150.97/151.45 (define @t135 () (_ @t93 @t92 @t52)) % 150.97/151.45 (define @t136 () (not (_ @t95 @t94 @t52))) % 150.97/151.45 (define @t137 () (not (tptp.rel_s5 @t45 @t52))) % 150.97/151.45 (define @t138 () (forall @t65 (or @t137 (not (tptp.rel_s5 @t52 @t61)) (tptp.rel_s5 @t45 @t61)))) % 150.97/151.45 (define @t139 () (_ @t41 @t45 @t61)) % 150.97/151.45 (define @t140 () (_ @t41 @t52 @t61)) % 150.97/151.45 (define @t141 () (_ @t41 @t45 @t52)) % 150.97/151.45 (define @t142 () (not @t141)) % 150.97/151.45 (define @t143 () (not @t63)) % 150.97/151.45 (define @t144 () (not @t55)) % 150.97/151.45 (define @t145 () (or @t144 @t143 @t62)) % 150.97/151.45 (define @t146 () (_ @t95 @t121 @t127)) % 150.97/151.45 (define @t147 () (or @t133 @t132 @t146)) % 150.97/151.45 (define @t148 () (_ @t95 @t128 @t123)) % 150.97/151.45 (define @t149 () (not @t148)) % 150.97/151.45 (define @t150 () (or @t149 @t124)) % 150.97/151.45 (define @t151 () (forall @t56 (or @t137 (tptp.rel_s5 @t52 @t45)))) % 150.97/151.45 (define @t152 () (_ @t41 @t52 @t45)) % 150.97/151.45 (define @t153 () (or @t144 @t54)) % 150.97/151.45 (define @t154 () (_ @t93 @t92 @t123)) % 150.97/151.45 (define @t155 () (_ @t95 @t154 @t120)) % 150.97/151.45 (define @t156 () (or @t126 @t155)) % 150.97/151.45 (define @t157 () (_ @t95 @t154 @t127)) % 150.97/151.45 (define @t158 () (not @t146)) % 150.97/151.45 (define @t159 () (not @t155)) % 150.97/151.45 (define @t160 () (or @t159 @t158 @t157)) % 150.97/151.45 (define @t161 () (not @t157)) % 150.97/151.45 (define @t162 () (or @t161 @t148)) % 150.97/151.45 (define @t163 () (not @t134)) % 150.97/151.45 (define @t164 () (not @t118)) % 150.97/151.45 (define @t165 () (@list false)) % 150.97/151.45 (define @t166 () (tptp.p @t98)) % 150.97/151.45 (define @t167 () (not (forall @t102 (or (not (tptp.rel_s5 @t101 @t98)) @t166)))) % 150.97/151.45 (define @t168 () (not (tptp.rel_s5 @t39 @t101))) % 150.97/151.45 (define @t169 () (not (tptp.rel_s5 @t105 @t39))) % 150.97/151.45 (define @t170 () (tptp.p @t39)) % 150.97/151.45 (define @t171 () (forall @t109 (or (not (forall @t42 (or @t169 @t170))) (not (forall @t107 (or @t169 @t168 @t167)))))) % 150.97/151.45 (define @t172 () (tptp.p @t112)) % 150.97/151.45 (define @t173 () (not (tptp.rel_s5 @t113 @t112))) % 150.97/151.45 (define @t174 () (not (forall @t102 (or (not (tptp.rel_s5 @t115 @t98)) @t166)))) % 150.97/151.45 (define @t175 () (not (tptp.rel_s5 @t116 @t115))) % 150.97/151.45 (define @t176 () (not (tptp.rel_s5 @t113 @t116))) % 150.97/151.45 (define @t177 () (or @t176 @t175 @t174 @t173 @t172)) % 150.97/151.45 (define @t178 () (or @t173 @t172)) % 150.97/151.45 (define @t179 () (or @t176 @t175 @t174)) % 150.97/151.45 (define @t180 () (or @t179 @t178)) % 150.97/151.45 (define @t181 () (forall @t117 @t180)) % 150.97/151.45 (define @t182 () (forall (@list @t116 @t115 @t112) @t180)) % 150.97/151.45 (define @t183 () (@list @t113)) % 150.97/151.45 (define @t184 () (forall (@list @t112) @t178)) % 150.97/151.45 (define @t185 () (@list @t39)) % 150.97/151.45 (define @t186 () (forall (@list @t116 @t115) @t179)) % 150.97/151.45 (define @t187 () (or @t186 @t184)) % 150.97/151.45 (define @t188 () (not (tptp.rel_s5 @t113 @t39))) % 150.97/151.45 (define @t189 () (forall @t183 (or (forall @t107 (or @t188 @t168 @t167)) (forall @t42 (or @t188 @t170))))) % 150.97/151.45 (define @t190 () (tptp.rel_s5 @t5 @t39)) % 150.97/151.45 (define @t191 () (not @t190)) % 150.97/151.45 (define @t192 () (forall @t107 (or @t191 @t168 @t167))) % 150.97/151.45 (define @t193 () (forall @t42 (or @t191 @t170))) % 150.97/151.45 (define @t194 () (or (not @t193) (not @t192))) % 150.97/151.45 (define @t195 () (forall @t37 @t194)) % 150.97/151.45 (define @t196 () (@list @t5)) % 150.97/151.45 (define @t197 () (or @t192 @t193)) % 150.97/151.45 (define @t198 () (forall @t37 @t197)) % 150.97/151.45 (define @t199 () (and @t198 @t195)) % 150.97/151.45 (define @t200 () (not @t194)) % 150.97/151.45 (define @t201 () (not @t197)) % 150.97/151.45 (define @t202 () (not (or @t201 @t200))) % 150.97/151.45 (define @t203 () (not (tptp.rel_s5 @t18 @t39))) % 150.97/151.45 (define @t204 () (or @t203 @t168 @t167)) % 150.97/151.45 (define @t205 () (forall @t107 @t204)) % 150.97/151.45 (define @t206 () (not @t205)) % 150.97/151.45 (define @t207 () (forall @t42 (or @t203 @t170))) % 150.97/151.45 (define @t208 () (@list @t18)) % 150.97/151.45 (define @t209 () (lambda @t208 (not (or (not (or @t205 @t207)) (not (or (not @t207) @t206)))))) % 150.97/151.45 (define @t210 () (_ @t209 @t5)) % 150.97/151.45 (define @t211 () (forall @t37 @t210)) % 150.97/151.45 (define @t212 () (_ @t10 @t5)) % 150.97/151.45 (define @t213 () (lambda @t80 (forall @t37 @t212))) % 150.97/151.45 (define @t214 () (lambda @t37 @t193)) % 150.97/151.45 (define @t215 () (_ @t214 @t18)) % 150.97/151.45 (define @t216 () (not @t215)) % 150.97/151.45 (define @t217 () (or @t216 @t206)) % 150.97/151.45 (define @t218 () (not @t217)) % 150.97/151.45 (define @t219 () (or @t205 @t215)) % 150.97/151.45 (define @t220 () (not @t219)) % 150.97/151.45 (define @t221 () (or @t220 @t218)) % 150.97/151.45 (define @t222 () (not @t221)) % 150.97/151.45 (define @t223 () (lambda @t208 @t222)) % 150.97/151.45 (define @t224 () (_ @t15 @t18)) % 150.97/151.45 (define @t225 () (not @t224)) % 150.97/151.45 (define @t226 () (@list @t15 @t18)) % 150.97/151.45 (define @t227 () (_ @t10 @t39)) % 150.97/151.45 (define @t228 () (lambda @t13 (forall @t42 (or @t191 @t227)))) % 150.97/151.45 (define @t229 () (_ @t228 tptp.p)) % 150.97/151.45 (define @t230 () (lambda @t208 @t206)) % 150.97/151.45 (define @t231 () (_ @t230 @t18)) % 150.97/151.45 (define @t232 () (or @t225 @t231)) % 150.97/151.45 (define @t233 () (not @t232)) % 150.97/151.45 (define @t234 () (not @t231)) % 150.97/151.45 (define @t235 () (or @t234 @t224)) % 150.97/151.45 (define @t236 () (not @t235)) % 150.97/151.45 (define @t237 () (or @t236 @t233)) % 150.97/151.45 (define @t238 () (not @t237)) % 150.97/151.45 (define @t239 () (lambda @t226 @t238)) % 150.97/151.45 (define @t240 () (_ @t10 @t18)) % 150.97/151.45 (define @t241 () (or @t225 @t240)) % 150.97/151.45 (define @t242 () (not @t240)) % 150.97/151.45 (define @t243 () (or @t242 @t224)) % 150.97/151.45 (define @t244 () (not @t243)) % 150.97/151.45 (define @t245 () (not (or @t244 (not @t241)))) % 150.97/151.45 (define @t246 () (lambda @t22 @t245)) % 150.97/151.45 (define @t247 () (or @t168 @t167)) % 150.97/151.45 (define @t248 () (or @t203 @t247)) % 150.97/151.45 (define @t249 () (forall @t107 @t248)) % 150.97/151.45 (define @t250 () (@list @t101)) % 150.97/151.45 (define @t251 () (forall @t250 @t248)) % 150.97/151.45 (define @t252 () (forall @t250 @t247)) % 150.97/151.45 (define @t253 () (@var "BOUND_VARIABLE_8457" $$unsorted)) % 150.97/151.45 (define @t254 () (@list @t253)) % 150.97/151.45 (define @t255 () (or @t203 @t252)) % 150.97/151.45 (define @t256 () (not (forall @t102 (or (not (tptp.rel_s5 @t253 @t98)) @t166)))) % 150.97/151.45 (define @t257 () (@list @t253)) % 150.97/151.45 (define @t258 () (forall @t257 (or (not (tptp.rel_s5 @t39 @t253)) @t256))) % 150.97/151.45 (define @t259 () (forall @t102 (or (not (tptp.rel_s5 @t39 @t98)) @t166))) % 150.97/151.45 (define @t260 () (forall @t42 (or @t203 (not @t259)))) % 150.97/151.45 (define @t261 () (not @t260)) % 150.97/151.45 (define @t262 () (lambda @t208 @t261)) % 150.97/151.45 (define @t263 () (not (_ @t262 @t39))) % 150.97/151.45 (define @t264 () (or @t203 @t263)) % 150.97/151.45 (define @t265 () (forall @t42 @t264)) % 150.97/151.45 (define @t266 () (not @t265)) % 150.97/151.45 (define @t267 () (lambda @t208 @t266)) % 150.97/151.45 (define @t268 () (not @t227)) % 150.97/151.45 (define @t269 () (not (forall @t42 (or @t203 @t268)))) % 150.97/151.45 (define @t270 () (lambda @t90 @t269)) % 150.97/151.45 (define @t271 () (@list @t98)) % 150.97/151.45 (define @t272 () (not (_ @t214 @t39))) % 150.97/151.45 (define @t273 () (or @t203 @t272)) % 150.97/151.45 (define @t274 () (forall @t42 @t273)) % 150.97/151.45 (define @t275 () (not @t274)) % 150.97/151.45 (define @t276 () (lambda @t208 @t275)) % 150.97/151.45 (define @t277 () (forall @t42 (or @t191 @t268))) % 150.97/151.45 (define @t278 () (lambda @t37 @t277)) % 150.97/151.45 (define @t279 () (_ @t278 @t5)) % 150.97/151.45 (define @t280 () (not @t279)) % 150.97/151.45 (define @t281 () (lambda @t37 @t280)) % 150.97/151.45 (define @t282 () (not @t40)) % 150.97/151.45 (define @t283 () (or @t191 @t282)) % 150.97/151.45 (define @t284 () (lambda @t37 @t12)) % 150.97/151.45 (define @t285 () (_ @t284 @t39)) % 150.97/151.45 (define @t286 () (or @t191 @t285)) % 150.97/151.45 (define @t287 () (forall @t42 @t286)) % 150.97/151.45 (define @t288 () (lambda @t37 @t287)) % 150.97/151.45 (define @t289 () (lambda @t208 @t241)) % 150.97/151.45 (define @t290 () (_ @t289 @t18)) % 150.97/151.45 (define @t291 () (not @t290)) % 150.97/151.45 (define @t292 () (or @t244 @t291)) % 150.97/151.45 (define @t293 () (not @t292)) % 150.97/151.45 (define @t294 () (lambda @t208 @t293)) % 150.97/151.45 (define @t295 () (@var "BOUND_VARIABLE_7582" (-> $$unsorted Bool))) % 150.97/151.45 (define @t296 () (not (_ @t295 @t18))) % 150.97/151.45 (define @t297 () (@list @t295 @t18)) % 150.97/151.45 (define @t298 () (@var "BOUND_VARIABLE_7602" (-> $$unsorted Bool))) % 150.97/151.45 (define @t299 () (_ @t298 @t18)) % 150.97/151.45 (define @t300 () (lambda (@list @t298 @t18) (or @t225 @t299))) % 150.97/151.45 (define @t301 () (lambda @t22 @t243)) % 150.97/151.45 (define @t302 () (@list @t15)) % 150.97/151.45 (define @t303 () (lambda @t208 @t243)) % 150.97/151.45 (define @t304 () (_ @t303 @t18)) % 150.97/151.45 (define @t305 () (not @t304)) % 150.97/151.45 (define @t306 () (or @t305 @t296)) % 150.97/151.45 (define @t307 () (not @t306)) % 150.97/151.45 (define @t308 () (lambda @t297 @t307)) % 150.97/151.45 (define @t309 () (not (or @t242 @t225))) % 150.97/151.45 (define @t310 () (lambda @t22 @t309)) % 150.97/151.45 (define @t311 () (lambda @t226 @t243)) % 150.97/151.45 (define @t312 () (or @t12 @t16)) % 150.97/151.45 (define @t313 () (lambda @t37 @t312)) % 150.97/151.45 (define @t314 () (@list @t15 @t5)) % 150.97/151.45 (define @t315 () (lambda @t314 @t312)) % 150.97/151.45 (define @t316 () (_ @t284 @t5)) % 150.97/151.45 (define @t317 () (or @t316 @t16)) % 150.97/151.45 (define @t318 () (lambda @t314 @t317)) % 150.97/151.45 (define @t319 () (not @t16)) % 150.97/151.45 (define @t320 () (or @t12 @t319)) % 150.97/151.45 (define @t321 () (lambda @t37 @t320)) % 150.97/151.45 (define @t322 () (_ @t321 @t5)) % 150.97/151.45 (define @t323 () (not @t322)) % 150.97/151.45 (define @t324 () (lambda @t37 @t323)) % 150.97/151.45 (define @t325 () (lambda @t37 @t319)) % 150.97/151.45 (define @t326 () (_ @t325 @t5)) % 150.97/151.45 (define @t327 () (or @t12 @t326)) % 150.97/151.45 (define @t328 () (lambda @t37 @t327)) % 150.97/151.45 (define @t329 () (not @t110)) % 150.97/151.45 (define @t330 () (_ @t93 @t92 @t111)) % 150.97/151.45 (define @t331 () (not (_ @t95 @t330 @t39))) % 150.97/151.45 (define @t332 () (forall @t107 (or @t331 @t104 @t103))) % 150.97/151.45 (define @t333 () (not @t332)) % 150.97/151.45 (define @t334 () (forall @t42 (or @t331 @t108))) % 150.97/151.45 (define @t335 () (not @t334)) % 150.97/151.45 (define @t336 () (or @t335 @t333)) % 150.97/151.45 (define @t337 () (not @t336)) % 150.97/151.45 (define @t338 () (@list true)) % 150.97/151.45 (define @t339 () (@list @t336)) % 150.97/151.45 (define @t340 () (forall @t102 (or (not (_ @t95 @t330 @t98)) @t100))) % 150.97/151.45 (define @t341 () (not @t340)) % 150.97/151.45 (define @t342 () (_ @t95 @t330 @t111)) % 150.97/151.45 (define @t343 () (not @t342)) % 150.97/151.45 (define @t344 () (or @t343 @t343 @t341)) % 150.97/151.45 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.97/151.45 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 150.97/151.45 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 150.97/151.45 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 150.97/151.45 (assume @p5 @t2) % 150.97/151.45 (assume @p6 true) % 150.97/151.45 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 150.97/151.45 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 150.97/151.45 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 150.97/151.45 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 150.97/151.45 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 150.97/151.45 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 150.97/151.45 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 150.97/151.45 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 150.97/151.45 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 150.97/151.45 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 150.97/151.45 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 150.97/151.45 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 150.97/151.45 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 150.97/151.45 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 150.97/151.45 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 150.97/151.45 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 150.97/151.45 (step @p23 (= tptp.mreflexive @t51) :rule refl :args (@t51)) % 150.97/151.45 (step @p24 (= tptp.msymmetric @t58) :rule refl :args (@t58)) % 150.97/151.45 (step @p25 (= tptp.mserial @t60) :rule refl :args (@t60)) % 150.97/151.45 (step @p26 (= tptp.mtransitive @t67) :rule refl :args (@t67)) % 150.97/151.45 (step @p27 (= tptp.meuclidean @t69) :rule refl :args (@t69)) % 150.97/151.45 (step @p28 (= tptp.mpartially_functional @t71) :rule refl :args (@t71)) % 150.97/151.45 (step @p29 (= tptp.mfunctional @t73) :rule refl :args (@t73)) % 150.97/151.45 (step @p30 (= tptp.mweakly_dense @t76) :rule refl :args (@t76)) % 150.97/151.45 (step @p31 (= tptp.mweakly_connected @t77) :rule refl :args (@t77)) % 150.97/151.45 (step @p32 (= tptp.mweakly_directed @t78) :rule refl :args (@t78)) % 150.97/151.45 (step @p33 (= tptp.mvalid @t81) :rule refl :args (@t81)) % 150.97/151.45 (step @p34 (= tptp.minvalid @t82) :rule refl :args (@t82)) % 150.97/151.45 (step @p35 (= tptp.msatisfiable @t83) :rule refl :args (@t83)) % 150.97/151.45 (step @p36 (= tptp.mcountersatisfiable @t84) :rule refl :args (@t84)) % 150.97/151.45 (step @p37 (= tptp.mbox_s5 @t89) :rule refl :args (@t89)) % 150.97/151.45 (step @p38 (= tptp.mdia_s5 @t91) :rule refl :args (@t91)) % 150.97/151.45 ; WARNING: add trust step for TRUST % 150.97/151.45 ; trust TRUST PREPROCESS_HO_ELIM % 150.97/151.45 (step @p39 :rule trust :premises () :args ((= @t96 (forall @t48 (_ @t95 @t94 @t45))))) % 150.97/151.45 (step @p40 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t48 @t97)) tptp.rel_s5) @t96))) % 150.97/151.45 (step @p41 :rule refl :args (tptp.rel_s5)) % 150.97/151.45 (step @p42 :rule refl :args (@t97)) % 150.97/151.45 (step @p43 :rule refl :args (@t47)) % 150.97/151.45 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t47 @t97))) % 150.97/151.45 (step @p45 :rule symm :premises (@p44)) % 150.97/151.45 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 150.97/151.45 (step @p47 :rule cong :premises (@p46) :args (@t49)) % 150.97/151.45 (step @p48 :rule cong :premises (@p47) :args (@t51)) % 150.97/151.45 (step @p49 :rule trans :premises (@p23 @p48)) % 150.97/151.45 (step @p50 :rule ho_cong :premises (@p49 @p41)) % 150.97/151.45 (step @p51 :rule trans :premises (@p50 @p40)) % 150.97/151.45 (step @p52 :rule trans :premises (@p51 @p39)) % 150.97/151.45 (step @p53 :rule eq_resolve :premises (@p2 @p52)) % 150.97/151.45 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t111))) % 150.97/151.45 (step @p55 :rule bool-double-not-elim :args (@t122)) % 150.97/151.45 (step @p56 :rule refl :args (@t134)) % 150.97/151.45 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t134 (not @t133)))) % 150.97/151.45 (step @p58 :rule cnf_or_neg :args (@t134 0)) % 150.97/151.45 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 150.97/151.45 (step @p60 :rule reordering :premises (@p59) :args ((or @t122 @t134))) % 150.97/151.45 (step @p61 :rule bool-double-not-elim :args (@t131)) % 150.97/151.45 (step @p62 :rule nary_cong :premises (@p56 @p61) :args ((or @t134 (not @t132)))) % 150.97/151.45 (step @p63 :rule cnf_or_neg :args (@t134 1)) % 150.97/151.45 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 150.97/151.45 (step @p65 :rule reordering :premises (@p64) :args ((or @t131 @t134))) % 150.97/151.45 (step @p66 :rule bool-double-not-elim :args (@t129)) % 150.97/151.45 (step @p67 :rule nary_cong :premises (@p56 @p66) :args ((or @t134 (not @t130)))) % 150.97/151.45 (step @p68 :rule cnf_or_neg :args (@t134 2)) % 150.97/151.45 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 150.97/151.45 (step @p70 :rule reordering :premises (@p69) :args ((or @t129 @t134))) % 150.97/151.45 (step @p71 :rule bool-double-not-elim :args (@t125)) % 150.97/151.45 (step @p72 :rule nary_cong :premises (@p56 @p71) :args ((or @t134 (not @t126)))) % 150.97/151.45 (step @p73 :rule cnf_or_neg :args (@t134 3)) % 150.97/151.45 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 150.97/151.45 (step @p75 :rule reordering :premises (@p74) :args ((or @t125 @t134))) % 150.97/151.45 (step @p76 :rule cnf_or_neg :args (@t134 4)) % 150.97/151.45 ; trust TRUST PREPROCESS_HO_ELIM % 150.97/151.45 (step @p77 :rule trust :premises () :args ((= @t138 (forall @t65 (or @t136 (not (_ @t95 @t135 @t61)) (_ @t95 @t94 @t61)))))) % 150.97/151.45 (step @p78 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t65 (or @t142 (not @t140) @t139))) tptp.rel_s5) @t138))) % 150.97/151.45 (step @p79 :rule refl :args (@t139)) % 150.97/151.45 (step @p80 :rule refl :args (@t62)) % 150.97/151.45 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t62 @t139))) % 150.97/151.45 (step @p82 :rule symm :premises (@p81)) % 150.97/151.45 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 150.97/151.45 (step @p84 :rule refl :args (@t140)) % 150.97/151.45 (step @p85 :rule refl :args (@t63)) % 150.97/151.45 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t63 @t140))) % 150.97/151.45 (step @p87 :rule symm :premises (@p86)) % 150.97/151.45 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 150.97/151.45 (step @p89 :rule cong :premises (@p88) :args (@t143)) % 150.97/151.45 (step @p90 :rule refl :args (@t141)) % 150.97/151.45 (step @p91 :rule refl :args (@t55)) % 150.97/151.45 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t55 @t141))) % 150.97/151.45 (step @p93 :rule symm :premises (@p92)) % 150.97/151.45 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 150.97/151.45 (step @p95 :rule cong :premises (@p94) :args (@t144)) % 150.97/151.45 (step @p96 :rule nary_cong :premises (@p95 @p89 @p83) :args (@t145)) % 150.97/151.45 (step @p97 :rule cong :premises (@p96) :args ((forall @t65 @t145))) % 150.97/151.45 (step @p98 :rule aci_norm :args ((= (or (or @t144 @t143) @t62) @t145))) % 150.97/151.45 (step @p99 :rule bool-and-de-morgan :args (@t55 @t63 true)) % 150.97/151.45 (step @p100 :rule nary_cong :premises (@p99 @p80) :args ((or (not @t64) @t62))) % 150.97/151.45 (step @p101 :rule trans :premises (@p100 @p98)) % 150.97/151.45 (step @p102 :rule bool-impl-elim :args (@t64 @t62)) % 150.97/151.45 (step @p103 :rule trans :premises (@p102 @p101)) % 150.97/151.45 (step @p104 :rule cong :premises (@p103) :args (@t66)) % 150.97/151.45 (step @p105 :rule trans :premises (@p104 @p97)) % 150.97/151.45 (step @p106 :rule cong :premises (@p105) :args (@t67)) % 150.97/151.45 (step @p107 :rule trans :premises (@p26 @p106)) % 150.97/151.45 (step @p108 :rule ho_cong :premises (@p107 @p41)) % 150.97/151.45 (step @p109 :rule trans :premises (@p108 @p78)) % 150.97/151.45 (step @p110 :rule trans :premises (@p109 @p77)) % 150.97/151.45 (step @p111 :rule eq_resolve :premises (@p3 @p110)) % 150.97/151.45 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t120 @t119 @t127))) % 150.97/151.45 (step @p113 :rule cnf_or_pos :args (@t147)) % 150.97/151.45 (step @p114 :rule reordering :premises (@p113) :args ((or @t133 @t132 @t146 (not @t147)))) % 150.97/151.45 (assume-push @p484 @t129) % 150.97/151.45 (step @p116 :rule instantiate :premises (@p484) :args ((@list @t123))) % 150.97/151.45 (step-pop @p485 :rule scope :premises (@p116)) % 150.97/151.45 (step @p117 :rule process_scope :premises (@p485) :args (@t150)) % 150.97/151.45 (step @p119 :rule implies_elim :premises (@p117)) % 150.97/151.45 ; trust TRUST PREPROCESS_HO_ELIM % 150.97/151.45 (step @p120 :rule trust :premises () :args ((= @t151 (forall @t56 (or @t136 (_ @t95 @t135 @t45)))))) % 150.97/151.45 (step @p121 :rule beta-reduce :args ((= (_ (lambda @t50 (forall @t56 (or @t142 @t152))) tptp.rel_s5) @t151))) % 150.97/151.45 (step @p122 :rule refl :args (@t152)) % 150.97/151.45 (step @p123 :rule refl :args (@t54)) % 150.97/151.45 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t54 @t152))) % 150.97/151.45 (step @p125 :rule symm :premises (@p124)) % 150.97/151.45 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 150.97/151.45 (step @p127 :rule nary_cong :premises (@p95 @p126) :args (@t153)) % 150.97/151.45 (step @p128 :rule cong :premises (@p127) :args ((forall @t56 @t153))) % 150.97/151.45 (step @p129 :rule bool-impl-elim :args (@t55 @t54)) % 150.97/151.45 (step @p130 :rule cong :premises (@p129) :args (@t57)) % 150.97/151.45 (step @p131 :rule trans :premises (@p130 @p128)) % 150.97/151.45 (step @p132 :rule cong :premises (@p131) :args (@t58)) % 150.97/151.45 (step @p133 :rule trans :premises (@p24 @p132)) % 150.97/151.45 (step @p134 :rule ho_cong :premises (@p133 @p41)) % 150.97/151.45 (step @p135 :rule trans :premises (@p134 @p121)) % 150.97/151.45 (step @p136 :rule trans :premises (@p135 @p120)) % 150.97/151.45 (step @p137 :rule eq_resolve :premises (@p4 @p136)) % 150.97/151.45 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t120 @t123))) % 150.97/151.45 (step @p139 :rule cnf_or_pos :args (@t156)) % 150.97/151.45 (step @p140 :rule reordering :premises (@p139) :args ((or @t126 @t155 (not @t156)))) % 150.97/151.45 (step @p141 :rule cnf_or_pos :args (@t150)) % 150.97/151.45 (step @p142 :rule reordering :premises (@p141) :args ((or @t124 @t149 (not @t150)))) % 150.97/151.45 (step @p143 :rule instantiate :premises (@p111) :args ((@list @t123 @t120 @t127))) % 150.97/151.45 (step @p144 :rule cnf_or_pos :args (@t160)) % 150.97/151.45 (step @p145 :rule reordering :premises (@p144) :args ((or @t158 @t159 @t157 (not @t160)))) % 150.97/151.45 (step @p146 :rule instantiate :premises (@p137) :args ((@list @t123 @t127))) % 150.97/151.45 (step @p147 :rule cnf_or_pos :args (@t162)) % 150.97/151.45 (step @p148 :rule reordering :premises (@p147) :args ((or @t148 @t161 (not @t162)))) % 150.97/151.45 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p145 @p143 @p142 @p140 @p138 @p119 @p114 @p112 @p76 @p75 @p70 @p65 @p60) :args (@t134 (@list false false false true false false false false false true false false false false) (@list @t162 @t157 @t160 @t148 @t155 @t156 @t150 @t146 @t147 @t124 @t125 @t129 @t131 @t122))) % 150.97/151.45 (step @p150 :rule refl :args (@t163)) % 150.97/151.45 (step @p151 :rule bool-double-not-elim :args (@t118)) % 150.97/151.45 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or (not @t164) @t163))) % 150.97/151.45 (assume-push @p486 @t164) % 150.97/151.45 (step @p154 :rule skolemize :premises (@p486)) % 150.97/151.45 (step-pop @p487 :rule scope :premises (@p154)) % 150.97/151.45 (step @p155 :rule process_scope :premises (@p487) :args (@t163)) % 150.97/151.45 (step @p157 :rule implies_elim :premises (@p155)) % 150.97/151.45 (step @p158 :rule eq_resolve :premises (@p157 @p152)) % 150.97/151.45 (step @p159 :rule chain_m_resolution :premises (@p158 @p149) :args (@t118 @t165 (@list @t134))) % 150.97/151.45 ; trust TRUST PREPROCESS_HO_ELIM % 150.97/151.45 (step @p160 :rule trust :premises () :args ((= (not (and (forall @t117 @t177) @t171)) (not (and @t118 @t110))))) % 150.97/151.45 (step @p161 :rule refl :args (@t171)) % 150.97/151.45 (step @p162 :rule aci_norm :args ((= @t180 @t177))) % 150.97/151.45 (step @p163 :rule cong :premises (@p162) :args (@t181)) % 150.97/151.45 (step @p164 :rule quant-merge-prenex :args ((= (forall @t183 @t182) @t181))) % 150.97/151.45 (step @p165 :rule alpha_equiv :args (@t184 (@list @t112) @t185)) % 150.97/151.45 (step @p166 :rule alpha_equiv :args (@t186 (@list @t116 @t115) (@list @t39 @t101))) % 150.97/151.45 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t187)) % 150.97/151.45 (step @p168 :rule quant-miniscope-or :args ((= @t182 @t187))) % 150.97/151.45 (step @p169 :rule trans :premises (@p168 @p167)) % 150.97/151.45 (step @p170 :rule symm :premises (@p169)) % 150.97/151.45 (step @p171 :rule cong :premises (@p170) :args (@t189)) % 150.97/151.45 (step @p172 :rule trans :premises (@p171 @p164)) % 150.97/151.45 (step @p173 :rule trans :premises (@p172 @p163)) % 150.97/151.45 (step @p174 :rule nary_cong :premises (@p173 @p161) :args ((and @t189 @t171))) % 150.97/151.45 (step @p175 :rule alpha_equiv :args (@t195 @t196 (@list @t105))) % 150.97/151.45 (step @p176 :rule alpha_equiv :args (@t198 @t196 (@list @t113))) % 150.97/151.45 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t199)) % 150.97/151.45 (step @p178 :rule quant-miniscope-and :args ((= (forall @t37 (and @t197 @t194)) @t199))) % 150.97/151.45 (step @p179 :rule trans :premises (@p178 @p177)) % 150.97/151.45 (step @p180 :rule trans :premises (@p179 @p174)) % 150.97/151.45 (step @p181 :rule bool-double-not-elim :args (@t194)) % 150.97/151.45 (step @p182 :rule bool-double-not-elim :args (@t197)) % 150.97/151.45 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((and (not @t201) (not @t200)))) % 150.97/151.45 (step @p184 :rule bool-or-de-morgan :args (@t201 @t200 false)) % 150.97/151.45 (step @p185 :rule trans :premises (@p184 @p183)) % 150.97/151.45 (step @p186 :rule cong :premises (@p185) :args ((forall @t37 @t202))) % 150.97/151.45 (step @p187 :rule trans :premises (@p186 @p180)) % 150.97/151.45 (step @p188 :rule beta-reduce :args ((= @t210 @t202))) % 150.97/151.45 (step @p189 :rule cong :premises (@p188) :args (@t211)) % 150.97/151.45 (step @p190 :rule trans :premises (@p189 @p187)) % 150.97/151.45 (step @p191 :rule beta-reduce :args ((= (_ @t213 @t209) @t211))) % 150.97/151.45 (step @p192 :rule trans :premises (@p191 @p190)) % 150.97/151.45 (step @p193 :rule refl :args (@t206)) % 150.97/151.45 (step @p194 :rule beta-reduce :args ((= @t215 @t207))) % 150.97/151.45 (step @p195 :rule cong :premises (@p194) :args (@t216)) % 150.97/151.45 (step @p196 :rule nary_cong :premises (@p195 @p193) :args (@t217)) % 150.97/151.45 (step @p197 :rule cong :premises (@p196) :args (@t218)) % 150.97/151.45 (step @p198 :rule refl :args (@t205)) % 150.97/151.45 (step @p199 :rule nary_cong :premises (@p198 @p194) :args (@t219)) % 150.97/151.45 (step @p200 :rule cong :premises (@p199) :args (@t220)) % 150.97/151.45 (step @p201 :rule nary_cong :premises (@p200 @p197) :args (@t221)) % 150.97/151.45 (step @p202 :rule cong :premises (@p201) :args (@t222)) % 150.97/151.45 (step @p203 :rule cong :premises (@p202) :args (@t223)) % 150.97/151.45 (step @p204 :rule beta-reduce :args ((= (_ (lambda @t226 (not (or (not (or @t205 @t224)) (not (or @t225 @t206))))) @t214) @t223))) % 150.97/151.45 (step @p205 :rule trans :premises (@p204 @p203)) % 150.97/151.45 (step @p206 :rule beta-reduce :args ((= @t229 @t214))) % 150.97/151.45 (step @p207 :rule beta-reduce :args ((= @t231 @t206))) % 150.97/151.45 (step @p208 :rule refl :args (@t225)) % 150.97/151.45 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t232)) % 150.97/151.45 (step @p210 :rule cong :premises (@p209) :args (@t233)) % 150.97/151.45 (step @p211 :rule refl :args (@t224)) % 150.97/151.45 (step @p212 :rule bool-double-not-elim :args (@t205)) % 150.97/151.45 (step @p213 :rule cong :premises (@p207) :args (@t234)) % 150.97/151.45 (step @p214 :rule trans :premises (@p213 @p212)) % 150.97/151.45 (step @p215 :rule nary_cong :premises (@p214 @p211) :args (@t235)) % 150.97/151.45 (step @p216 :rule cong :premises (@p215) :args (@t236)) % 150.97/151.45 (step @p217 :rule nary_cong :premises (@p216 @p210) :args (@t237)) % 150.97/151.45 (step @p218 :rule cong :premises (@p217) :args (@t238)) % 150.97/151.45 (step @p219 :rule cong :premises (@p218) :args (@t239)) % 150.97/151.45 (step @p220 :rule beta-reduce :args ((= (_ @t246 @t230) @t239))) % 150.97/151.45 (step @p221 :rule trans :premises (@p220 @p219)) % 150.97/151.45 (step @p222 :rule aci_norm :args ((= @t248 @t204))) % 150.97/151.45 (step @p223 :rule cong :premises (@p222) :args (@t249)) % 150.97/151.45 (step @p224 :rule quant-merge-prenex :args ((= (forall @t42 @t251) @t249))) % 150.97/151.45 (step @p225 :rule alpha_equiv :args (@t252 (@list @t101) @t254)) % 150.97/151.45 (step @p226 :rule refl :args (@t203)) % 150.97/151.45 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t255)) % 150.97/151.45 (step @p228 :rule quant-miniscope-or :args ((= @t251 @t255))) % 150.97/151.45 (step @p229 :rule trans :premises (@p228 @p227)) % 150.97/151.45 (step @p230 :rule symm :premises (@p229)) % 150.97/151.45 (step @p231 :rule cong :premises (@p230) :args ((forall @t42 (or @t203 @t258)))) % 150.97/151.45 (step @p232 :rule trans :premises (@p231 @p224)) % 150.97/151.45 (step @p233 :rule trans :premises (@p232 @p223)) % 150.97/151.45 (step @p234 :rule bool-double-not-elim :args (@t258)) % 150.97/151.45 (step @p235 :rule beta-reduce :args ((= (_ (lambda @t208 (not (forall @t257 (or (not (tptp.rel_s5 @t18 @t253)) @t256)))) @t39) (not @t258)))) % 150.97/151.45 (step @p236 :rule refl :args (@t39)) % 150.97/151.45 (step @p237 :rule alpha_equiv :args (@t260 @t185 @t254)) % 150.97/151.45 (step @p238 :rule cong :premises (@p237) :args (@t261)) % 150.97/151.45 (step @p239 :rule cong :premises (@p238) :args (@t262)) % 150.97/151.45 (step @p240 :rule ho_cong :premises (@p239 @p236)) % 150.97/151.45 (step @p241 :rule trans :premises (@p240 @p235)) % 150.97/151.45 (step @p242 :rule cong :premises (@p241) :args (@t263)) % 150.97/151.45 (step @p243 :rule trans :premises (@p242 @p234)) % 150.97/151.45 (step @p244 :rule refl :args (@t203)) % 150.97/151.45 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t264)) % 150.97/151.45 (step @p246 :rule cong :premises (@p245) :args (@t265)) % 150.97/151.45 (step @p247 :rule trans :premises (@p246 @p233)) % 150.97/151.45 (step @p248 :rule cong :premises (@p247) :args (@t266)) % 150.97/151.45 (step @p249 :rule cong :premises (@p248) :args (@t267)) % 150.97/151.45 (step @p250 :rule beta-reduce :args ((= (_ @t270 @t262) @t267))) % 150.97/151.45 (step @p251 :rule trans :premises (@p250 @p249)) % 150.97/151.45 (step @p252 :rule beta-reduce :args ((= (_ (lambda @t37 (forall @t102 (or (not (tptp.rel_s5 @t5 @t98)) @t166))) @t39) @t259))) % 150.97/151.45 (step @p253 :rule alpha_equiv :args (@t193 @t185 @t271)) % 150.97/151.45 (step @p254 :rule cong :premises (@p253) :args (@t214)) % 150.97/151.45 (step @p255 :rule ho_cong :premises (@p254 @p236)) % 150.97/151.45 (step @p256 :rule trans :premises (@p255 @p252)) % 150.97/151.45 (step @p257 :rule cong :premises (@p256) :args (@t272)) % 150.97/151.45 (step @p258 :rule nary_cong :premises (@p244 @p257) :args (@t273)) % 150.97/151.45 (step @p259 :rule cong :premises (@p258) :args (@t274)) % 150.97/151.45 (step @p260 :rule cong :premises (@p259) :args (@t275)) % 150.97/151.45 (step @p261 :rule cong :premises (@p260) :args (@t276)) % 150.97/151.45 (step @p262 :rule beta-reduce :args ((= (_ @t270 @t214) @t276))) % 150.97/151.45 (step @p263 :rule trans :premises (@p262 @p261)) % 150.97/151.45 (step @p264 :rule refl :args (@t270)) % 150.97/151.45 (step @p265 :rule ho_cong :premises (@p264 @p206)) % 150.97/151.45 (step @p266 :rule trans :premises (@p265 @p263)) % 150.97/151.45 (step @p267 :rule ho_cong :premises (@p264 @p266)) % 150.97/151.45 (step @p268 :rule trans :premises (@p267 @p251)) % 150.97/151.45 (step @p269 :rule refl :args (@t246)) % 150.97/151.45 (step @p270 :rule ho_cong :premises (@p269 @p268)) % 150.97/151.45 (step @p271 :rule trans :premises (@p270 @p221)) % 150.97/151.45 (step @p272 :rule ho_cong :premises (@p271 @p206)) % 150.97/151.45 (step @p273 :rule trans :premises (@p272 @p205)) % 150.97/151.45 (step @p274 :rule refl :args (@t213)) % 150.97/151.45 (step @p275 :rule ho_cong :premises (@p274 @p273)) % 150.97/151.45 (step @p276 :rule trans :premises (@p275 @p192)) % 150.97/151.45 (step @p277 :rule cong :premises (@p276) :args ((not (_ @t213 (_ (_ @t246 (_ @t270 (_ @t270 @t229))) @t229))))) % 150.97/151.45 (step @p278 :rule refl :args (tptp.p)) % 150.97/151.45 (step @p279 :rule refl :args (@t227)) % 150.97/151.45 (step @p280 :rule refl :args (@t40)) % 150.97/151.45 (step @p281 :rule cong :premises (@p280 @p279) :args ((= @t40 @t227))) % 150.97/151.45 (step @p282 :rule symm :premises (@p281)) % 150.97/151.45 (step @p283 :rule eq_resolve :premises (@p280 @p282)) % 150.97/151.45 (step @p284 :rule refl :args (@t190)) % 150.97/151.45 (step @p285 :rule refl :args (@t85)) % 150.97/151.45 (step @p286 :rule cong :premises (@p285 @p284) :args ((= @t85 @t190))) % 150.97/151.45 (step @p287 :rule symm :premises (@p286)) % 150.97/151.45 (step @p288 :rule eq_resolve :premises (@p285 @p287)) % 150.97/151.45 (step @p289 :rule cong :premises (@p288) :args (@t86)) % 150.97/151.45 (step @p290 :rule nary_cong :premises (@p289 @p283) :args (@t87)) % 150.97/151.45 (step @p291 :rule cong :premises (@p290) :args (@t88)) % 150.97/151.45 (step @p292 :rule cong :premises (@p291) :args (@t89)) % 150.97/151.45 (step @p293 :rule trans :premises (@p37 @p292)) % 150.97/151.45 (step @p294 :rule ho_cong :premises (@p293 @p278)) % 150.97/151.45 (step @p295 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t277)) @t18) @t269))) % 150.97/151.45 (step @p296 :rule refl :args (@t18)) % 150.97/151.45 (step @p297 :rule beta-reduce :args ((= @t279 @t277))) % 150.97/151.45 (step @p298 :rule cong :premises (@p297) :args (@t280)) % 150.97/151.45 (step @p299 :rule cong :premises (@p298) :args (@t281)) % 150.97/151.45 (step @p300 :rule beta-reduce :args ((= (_ @t14 @t278) @t281))) % 150.97/151.45 (step @p301 :rule trans :premises (@p300 @p299)) % 150.97/151.45 (step @p302 :rule cong :premises (@p283) :args (@t282)) % 150.97/151.45 (step @p303 :rule refl :args (@t191)) % 150.97/151.45 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t283)) % 150.97/151.45 (step @p305 :rule cong :premises (@p304) :args ((forall @t42 @t283))) % 150.97/151.45 (step @p306 :rule beta-reduce :args ((= @t285 @t282))) % 150.97/151.45 (step @p307 :rule refl :args (@t191)) % 150.97/151.45 (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t286)) % 150.97/151.45 (step @p309 :rule cong :premises (@p308) :args (@t287)) % 150.97/151.45 (step @p310 :rule trans :premises (@p309 @p305)) % 150.97/151.45 (step @p311 :rule cong :premises (@p310) :args (@t288)) % 150.97/151.45 (step @p312 :rule beta-reduce :args ((= (_ @t228 @t284) @t288))) % 150.97/151.45 (step @p313 :rule trans :premises (@p312 @p311)) % 150.97/151.45 (step @p314 :rule beta-reduce :args ((= (_ @t14 @t10) @t284))) % 150.97/151.45 (step @p315 :rule refl :args (@t228)) % 150.97/151.45 (step @p316 :rule ho_cong :premises (@p315 @p314)) % 150.97/151.45 (step @p317 :rule trans :premises (@p316 @p313)) % 150.97/151.45 (step @p318 :rule refl :args (@t14)) % 150.97/151.45 (step @p319 :rule ho_cong :premises (@p318 @p317)) % 150.97/151.45 (step @p320 :rule trans :premises (@p319 @p301)) % 150.97/151.45 (step @p321 :rule ho_cong :premises (@p320 @p296)) % 150.97/151.45 (step @p322 :rule trans :premises (@p321 @p295)) % 150.97/151.45 (step @p323 :rule refl :args (@t10)) % 150.97/151.45 (step @p324 :rule ho_cong :premises (@p9 @p323)) % 150.97/151.45 (step @p325 :rule ho_cong :premises (@p293 @p324)) % 150.97/151.45 (step @p326 :rule ho_cong :premises (@p9 @p325)) % 150.97/151.45 (step @p327 :rule ho_cong :premises (@p326 @p296)) % 150.97/151.45 (step @p328 :rule trans :premises (@p327 @p322)) % 150.97/151.45 (step @p329 :rule cong :premises (@p328) :args (@t91)) % 150.97/151.45 (step @p330 :rule trans :premises (@p38 @p329)) % 150.97/151.45 (step @p331 :rule ho_cong :premises (@p330 @p294)) % 150.97/151.45 (step @p332 :rule ho_cong :premises (@p330 @p331)) % 150.97/151.45 (step @p333 :rule beta-reduce :args ((= (_ (lambda @t208 @t245) @t18) @t245))) % 150.97/151.45 (step @p334 :rule beta-reduce :args ((= @t290 @t241))) % 150.97/151.45 (step @p335 :rule cong :premises (@p334) :args (@t291)) % 150.97/151.45 (step @p336 :rule refl :args (@t244)) % 150.97/151.45 (step @p337 :rule nary_cong :premises (@p336 @p335) :args (@t292)) % 150.97/151.45 (step @p338 :rule cong :premises (@p337) :args (@t293)) % 150.97/151.45 (step @p339 :rule cong :premises (@p338) :args (@t294)) % 150.97/151.45 (step @p340 :rule beta-reduce :args ((= (_ (lambda @t297 (not (or @t244 @t296))) @t289) @t294))) % 150.97/151.45 (step @p341 :rule trans :premises (@p340 @p339)) % 150.97/151.45 (step @p342 :rule beta-reduce :args ((= (_ @t300 @t10) @t289))) % 150.97/151.45 (step @p343 :rule beta-reduce :args ((= (_ (lambda (@list @t10 @t298 @t18) (or @t242 @t299)) @t15) @t300))) % 150.97/151.45 (step @p344 :rule refl :args (@t15)) % 150.97/151.45 (step @p345 :rule alpha_equiv :args (@t301 @t302 (@list @t298))) % 150.97/151.45 (step @p346 :rule ho_cong :premises (@p345 @p344)) % 150.97/151.45 (step @p347 :rule trans :premises (@p346 @p343)) % 150.97/151.45 (step @p348 :rule ho_cong :premises (@p347 @p323)) % 150.97/151.45 (step @p349 :rule trans :premises (@p348 @p342)) % 150.97/151.45 (step @p350 :rule refl :args (@t296)) % 150.97/151.45 (step @p351 :rule beta-reduce :args ((= @t304 @t243))) % 150.97/151.45 (step @p352 :rule cong :premises (@p351) :args (@t305)) % 150.97/151.45 (step @p353 :rule nary_cong :premises (@p352 @p350) :args (@t306)) % 150.97/151.45 (step @p354 :rule cong :premises (@p353) :args (@t307)) % 150.97/151.45 (step @p355 :rule cong :premises (@p354) :args (@t308)) % 150.97/151.45 (step @p356 :rule beta-reduce :args ((= (_ (lambda (@list @t10 @t295 @t18) (not (or @t242 @t296))) @t303) @t308))) % 150.97/151.45 (step @p357 :rule trans :premises (@p356 @p355)) % 150.97/151.45 (step @p358 :rule refl :args (@t303)) % 150.97/151.45 (step @p359 :rule alpha_equiv :args (@t310 @t302 (@list @t295))) % 150.97/151.45 (step @p360 :rule ho_cong :premises (@p359 @p358)) % 150.97/151.45 (step @p361 :rule trans :premises (@p360 @p357)) % 150.97/151.45 (step @p362 :rule beta-reduce :args ((= (_ @t311 @t15) @t303))) % 150.97/151.45 (step @p363 :rule refl :args (@t15)) % 150.97/151.45 (step @p364 :rule beta-reduce :args ((= (_ @t301 @t10) @t311))) % 150.97/151.45 (step @p365 :rule ho_cong :premises (@p364 @p363)) % 150.97/151.45 (step @p366 :rule trans :premises (@p365 @p362)) % 150.97/151.45 (step @p367 :rule refl :args (@t310)) % 150.97/151.45 (step @p368 :rule ho_cong :premises (@p367 @p366)) % 150.97/151.45 (step @p369 :rule trans :premises (@p368 @p361)) % 150.97/151.45 (step @p370 :rule ho_cong :premises (@p369 @p349)) % 150.97/151.45 (step @p371 :rule trans :premises (@p370 @p341)) % 150.97/151.45 (step @p372 :rule ho_cong :premises (@p371 @p296)) % 150.97/151.45 (step @p373 :rule trans :premises (@p372 @p333)) % 150.97/151.45 (step @p374 :rule beta-reduce :args ((= (_ @t313 @t18) @t243))) % 150.97/151.45 (step @p375 :rule beta-reduce :args ((= (_ @t315 @t15) @t313))) % 150.97/151.45 (step @p376 :rule refl :args (@t16)) % 150.97/151.45 (step @p377 :rule beta-reduce :args ((= @t316 @t12))) % 150.97/151.45 (step @p378 :rule nary_cong :premises (@p377 @p376) :args (@t317)) % 150.97/151.45 (step @p379 :rule cong :premises (@p378) :args (@t318)) % 150.97/151.45 (step @p380 :rule beta-reduce :args ((= (_ @t17 @t284) @t318))) % 150.97/151.45 (step @p381 :rule trans :premises (@p380 @p379)) % 150.97/151.45 (step @p382 :rule refl :args (@t17)) % 150.97/151.45 (step @p383 :rule ho_cong :premises (@p382 @p314)) % 150.97/151.45 (step @p384 :rule trans :premises (@p383 @p381)) % 150.97/151.45 (step @p385 :rule ho_cong :premises (@p384 @p363)) % 150.97/151.45 (step @p386 :rule trans :premises (@p385 @p375)) % 150.97/151.45 (step @p387 :rule ho_cong :premises (@p386 @p296)) % 150.97/151.45 (step @p388 :rule trans :premises (@p387 @p374)) % 150.97/151.45 (step @p389 :rule ho_cong :premises (@p10 @p324)) % 150.97/151.45 (step @p390 :rule ho_cong :premises (@p389 @p363)) % 150.97/151.45 (step @p391 :rule ho_cong :premises (@p390 @p296)) % 150.97/151.45 (step @p392 :rule trans :premises (@p391 @p388)) % 150.97/151.45 (step @p393 :rule cong :premises (@p392) :args (@t24)) % 150.97/151.45 (step @p394 :rule trans :premises (@p12 @p393)) % 150.97/151.45 (step @p395 :rule ho_cong :premises (@p394 @p363)) % 150.97/151.45 (step @p396 :rule ho_cong :premises (@p395 @p323)) % 150.97/151.45 (step @p397 :rule ho_cong :premises (@p394 @p323)) % 150.97/151.45 (step @p398 :rule ho_cong :premises (@p397 @p363)) % 150.97/151.45 (step @p399 :rule beta-reduce :args ((= (_ (lambda @t37 (not @t320)) @t18) @t309))) % 150.97/151.45 (step @p400 :rule beta-reduce :args ((= @t322 @t320))) % 150.97/151.45 (step @p401 :rule cong :premises (@p400) :args (@t323)) % 150.97/151.45 (step @p402 :rule cong :premises (@p401) :args (@t324)) % 150.97/151.45 (step @p403 :rule beta-reduce :args ((= (_ @t14 @t321) @t324))) % 150.97/151.45 (step @p404 :rule trans :premises (@p403 @p402)) % 150.97/151.45 (step @p405 :rule beta-reduce :args ((= @t326 @t319))) % 150.97/151.45 (step @p406 :rule refl :args (@t12)) % 150.97/151.45 (step @p407 :rule nary_cong :premises (@p406 @p405) :args (@t327)) % 150.97/151.45 (step @p408 :rule cong :premises (@p407) :args (@t328)) % 150.97/151.45 (step @p409 :rule beta-reduce :args ((= (_ @t315 @t325) @t328))) % 150.97/151.45 (step @p410 :rule trans :premises (@p409 @p408)) % 150.97/151.45 (step @p411 :rule beta-reduce :args ((= (_ @t14 @t15) @t325))) % 150.97/151.45 (step @p412 :rule ho_cong :premises (@p384 @p411)) % 150.97/151.45 (step @p413 :rule trans :premises (@p412 @p410)) % 150.97/151.45 (step @p414 :rule ho_cong :premises (@p318 @p413)) % 150.97/151.45 (step @p415 :rule trans :premises (@p414 @p404)) % 150.97/151.45 (step @p416 :rule ho_cong :premises (@p415 @p296)) % 150.97/151.45 (step @p417 :rule trans :premises (@p416 @p399)) % 150.97/151.45 (step @p418 :rule ho_cong :premises (@p9 @p363)) % 150.97/151.45 (step @p419 :rule ho_cong :premises (@p389 @p418)) % 150.97/151.45 (step @p420 :rule ho_cong :premises (@p9 @p419)) % 150.97/151.45 (step @p421 :rule ho_cong :premises (@p420 @p296)) % 150.97/151.45 (step @p422 :rule trans :premises (@p421 @p417)) % 150.97/151.45 (step @p423 :rule cong :premises (@p422) :args (@t23)) % 150.97/151.45 (step @p424 :rule trans :premises (@p11 @p423)) % 150.97/151.45 (step @p425 :rule ho_cong :premises (@p424 @p398)) % 150.97/151.45 (step @p426 :rule ho_cong :premises (@p425 @p396)) % 150.97/151.45 (step @p427 :rule ho_cong :premises (@p426 @p296)) % 150.97/151.45 (step @p428 :rule trans :premises (@p427 @p373)) % 150.97/151.45 (step @p429 :rule cong :premises (@p428) :args (@t26)) % 150.97/151.45 (step @p430 :rule trans :premises (@p14 @p429)) % 150.97/151.45 (step @p431 :rule ho_cong :premises (@p430 @p332)) % 150.97/151.45 (step @p432 :rule ho_cong :premises (@p431 @p294)) % 150.97/151.45 (step @p433 :rule refl :args (@t212)) % 150.97/151.45 (step @p434 :rule refl :args (@t11)) % 150.97/151.45 (step @p435 :rule cong :premises (@p434 @p433) :args ((= @t11 @t212))) % 150.97/151.45 (step @p436 :rule symm :premises (@p435)) % 150.97/151.45 (step @p437 :rule eq_resolve :premises (@p434 @p436)) % 150.97/151.45 (step @p438 :rule cong :premises (@p437) :args (@t79)) % 150.97/151.45 (step @p439 :rule cong :premises (@p438) :args (@t81)) % 150.97/151.45 (step @p440 :rule trans :premises (@p33 @p439)) % 150.97/151.45 (step @p441 :rule ho_cong :premises (@p440 @p432)) % 150.97/151.45 (step @p442 :rule cong :premises (@p441) :args (@t2)) % 150.97/151.45 (step @p443 :rule trans :premises (@p442 @p277)) % 150.97/151.45 (step @p444 :rule trans :premises (@p443 @p160)) % 150.97/151.45 (step @p445 :rule eq_resolve :premises (@p5 @p444)) % 150.97/151.45 (step @p446 :rule not_and :premises (@p445)) % 150.97/151.45 (step @p447 :rule chain_m_resolution :premises (@p446 @p159) :args (@t329 @t165 (@list @t118))) % 150.97/151.45 (step @p448 :rule refl :args (@t337)) % 150.97/151.45 (step @p449 :rule bool-double-not-elim :args (@t110)) % 150.97/151.45 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t329) @t337))) % 150.97/151.45 (assume-push @p488 @t329) % 150.97/151.45 (step @p452 :rule skolemize :premises (@p488)) % 150.97/151.45 (step-pop @p489 :rule scope :premises (@p452)) % 150.97/151.45 (step @p453 :rule process_scope :premises (@p489) :args (@t337)) % 150.97/151.45 (step @p455 :rule implies_elim :premises (@p453)) % 150.97/151.45 (step @p456 :rule eq_resolve :premises (@p455 @p450)) % 150.97/151.45 (step @p457 :rule chain_m_resolution :premises (@p456 @p447) :args (@t337 @t338 (@list @t110))) % 150.97/151.45 (step @p458 :rule bool-double-not-elim :args (@t334)) % 150.97/151.45 (step @p459 :rule refl :args (@t336)) % 150.97/151.45 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t336 (not @t335)))) % 150.97/151.45 (step @p461 :rule cnf_or_neg :args (@t336 0)) % 150.97/151.45 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 150.97/151.45 (step @p463 :rule reordering :premises (@p462) :args ((or @t334 @t336))) % 150.97/151.45 (step @p464 :rule chain_m_resolution :premises (@p463 @p457) :args (@t334 @t338 @t339)) % 150.97/151.45 (step @p465 :rule alpha_equiv :args (@t334 @t185 @t271)) % 150.97/151.45 (step @p466 :rule equiv_elim1 :premises (@p465)) % 150.97/151.45 (step @p467 :rule chain_m_resolution :premises (@p466 @p464) :args (@t340 @t165 (@list @t334))) % 150.97/151.45 (step @p468 :rule bool-double-not-elim :args (@t332)) % 150.97/151.45 (step @p469 :rule nary_cong :premises (@p459 @p468) :args ((or @t336 (not @t333)))) % 150.97/151.45 (step @p470 :rule cnf_or_neg :args (@t336 1)) % 150.97/151.45 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 150.97/151.45 (step @p472 :rule reordering :premises (@p471) :args ((or @t332 @t336))) % 150.97/151.45 (step @p473 :rule chain_m_resolution :premises (@p472 @p457) :args (@t332 @t338 @t339)) % 150.97/151.45 (assume-push @p490 @t332) % 150.97/151.45 (step @p475 :rule instantiate :premises (@p490) :args ((@list @t111 @t111))) % 150.97/151.45 (step-pop @p491 :rule scope :premises (@p475)) % 150.97/151.45 (step @p476 :rule process_scope :premises (@p491) :args (@t344)) % 150.97/151.45 (step @p478 :rule implies_elim :premises (@p476)) % 150.97/151.45 (step @p479 :rule chain_m_resolution :premises (@p478 @p473) :args (@t344 @t165 (@list @t332))) % 150.97/151.45 (step @p480 :rule cnf_or_pos :args (@t344)) % 150.97/151.45 (step @p481 :rule factoring :premises (@p480)) % 150.97/151.45 (step @p482 :rule reordering :premises (@p481) :args ((or @t343 @t341 (not @t344)))) % 150.97/151.45 (step @p483 false :rule chain_m_resolution :premises (@p482 @p479 @p467 @p54) :args (false (@list false false false) (@list @t344 @t340 @t342))) % 150.97/151.45 ) % 150.97/151.45 % SZS output end Proof % 150.97/151.45 % cvc5 exiting %------------------------------------------------------------------------------