%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO393^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:12:34 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO393^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 00:06:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-sort tptp.mu 0) % 0.39/0.62 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.39/0.62 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.39/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.39/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.39/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.62 (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))))))) % 0.39/0.62 (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))))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.39/0.62 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.39/0.62 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.39/0.62 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.39/0.62 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.39/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.39/0.62 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.39/0.62 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.39/0.62 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.39/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.39/0.62 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.39/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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_k _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.39/0.62 (define tptp.mdia_k () (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_k (_ tptp.mnot _let_2))) _let_1))))) % 0.39/0.62 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mnot (_ tptp.mdia_k (_ (_ tptp.mor tptp.p) tptp.q)))) (_ (_ tptp.mand (_ tptp.mnot (_ tptp.mdia_k tptp.p))) (_ tptp.mnot (_ tptp.mdia_k tptp.q))))))) % 0.39/0.62 (define @t2 () (@var "Y" tptp.mu)) % 0.39/0.62 (define @t3 () (@var "X" tptp.mu)) % 0.39/0.62 (define @t4 () (@var "W" $$unsorted)) % 0.39/0.62 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.39/0.62 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.62 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.62 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.39/0.62 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.39/0.62 (define @t10 () (_ @t9 @t4)) % 0.39/0.62 (define @t11 () (not @t10)) % 0.39/0.62 (define @t12 () (@list @t9 @t4)) % 0.39/0.62 (define @t13 () (lambda @t12 @t11)) % 0.39/0.62 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.39/0.62 (define @t15 () (_ @t14 @t4)) % 0.39/0.62 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.39/0.62 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.39/0.62 (define @t18 () (_ tptp.mnot @t14)) % 0.39/0.62 (define @t19 () (_ tptp.mnot @t9)) % 0.39/0.62 (define @t20 () (_ tptp.mor @t19)) % 0.39/0.62 (define @t21 () (@list @t9 @t14 @t17)) % 0.39/0.62 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.39/0.62 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.39/0.62 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.39/0.62 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.39/0.62 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.39/0.62 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.39/0.62 (define @t28 () (_ @t27 @t3)) % 0.39/0.62 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.39/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.39/0.62 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.39/0.62 (define @t32 () (_ @t31 @t30)) % 0.39/0.62 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.39/0.62 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.39/0.62 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.39/0.62 (define @t36 () (@list @t4)) % 0.39/0.62 (define @t37 () (lambda @t36 true)) % 0.39/0.62 (define @t38 () (@var "V" $$unsorted)) % 0.39/0.62 (define @t39 () (_ @t9 @t38)) % 0.39/0.62 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.39/0.62 (define @t41 () (@list @t38)) % 0.39/0.62 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.39/0.62 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.39/0.62 (define @t44 () (@var "S" $$unsorted)) % 0.39/0.62 (define @t45 () (_ @t40 @t44)) % 0.39/0.62 (define @t46 () (@list @t44)) % 0.39/0.62 (define @t47 () (@list @t40)) % 0.39/0.62 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.39/0.62 (define @t49 () (@var "T" $$unsorted)) % 0.39/0.62 (define @t50 () (_ @t40 @t49)) % 0.39/0.62 (define @t51 () (_ @t45 @t49)) % 0.39/0.62 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.39/0.62 (define @t53 () (@list @t49)) % 0.39/0.62 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.39/0.62 (define @t55 () (@var "U" $$unsorted)) % 0.39/0.62 (define @t56 () (_ @t45 @t55)) % 0.39/0.62 (define @t57 () (_ @t50 @t55)) % 0.39/0.62 (define @t58 () (@list @t44 @t49 @t55)) % 0.39/0.62 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.39/0.62 (define @t60 () (and @t51 @t56)) % 0.39/0.62 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.39/0.62 (define @t62 () (= @t49 @t55)) % 0.39/0.62 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.39/0.62 (define @t64 () (@list @t55)) % 0.39/0.62 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.39/0.62 (define @t66 () (_ @t40 @t55)) % 0.39/0.62 (define @t67 () (_ @t66 @t49)) % 0.39/0.62 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.39/0.62 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.39/0.62 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.39/0.62 (define @t71 () (forall @t36 @t10)) % 0.39/0.62 (define @t72 () (@list @t9)) % 0.39/0.62 (define @t73 () (lambda @t72 @t71)) % 0.39/0.62 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.39/0.62 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.39/0.62 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.39/0.62 (define @t77 () (_ (_ tptp.rel_k @t4) @t38)) % 0.39/0.62 (define @t78 () (not @t77)) % 0.39/0.62 (define @t79 () (or @t78 @t39)) % 0.39/0.62 (define @t80 () (forall @t41 @t79)) % 0.39/0.62 (define @t81 () (lambda @t12 @t80)) % 0.39/0.62 (define @t82 () (@list @t9 @t17)) % 0.39/0.62 (define @t83 () (lambda @t82 (_ (_ tptp.mnot (_ tptp.mbox_k @t19)) @t17))) % 0.39/0.62 (define @t84 () (@var "BOUND_VARIABLE_8533" $$unsorted)) % 0.39/0.62 (define @t85 () (or (not (tptp.rel_k @t4 @t84)) (not (tptp.q @t84)))) % 0.39/0.62 (define @t86 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 0.39/0.62 (define @t87 () (or (not (tptp.rel_k @t4 @t86)) (not (tptp.p @t86)))) % 0.39/0.62 (define @t88 () (and @t87 @t85)) % 0.39/0.62 (define @t89 () (tptp.q @t38)) % 0.39/0.62 (define @t90 () (not @t89)) % 0.39/0.62 (define @t91 () (tptp.p @t38)) % 0.39/0.62 (define @t92 () (not @t91)) % 0.39/0.62 (define @t93 () (and @t92 @t90)) % 0.39/0.62 (define @t94 () (tptp.rel_k @t4 @t38)) % 0.39/0.62 (define @t95 () (not @t94)) % 0.39/0.62 (define @t96 () (forall @t41 (or @t95 @t93))) % 0.39/0.62 (define @t97 () (not @t96)) % 0.39/0.62 (define @t98 () (or @t97 @t88)) % 0.39/0.62 (define @t99 () (forall (@list @t4 @t86 @t84) @t98)) % 0.39/0.62 (define @t100 () (@quantifiers_skolemize @t99 2)) % 0.39/0.62 (define @t101 () (@quantifiers_skolemize @t99 0)) % 0.39/0.62 (define @t102 () (tptp.rel_k @t101 @t100)) % 0.39/0.62 (define @t103 () (tptp.q @t100)) % 0.39/0.62 (define @t104 () (not @t103)) % 0.39/0.62 (define @t105 () (not @t102)) % 0.39/0.62 (define @t106 () (or @t105 @t104)) % 0.39/0.62 (define @t107 () (@list @t86 @t84)) % 0.39/0.62 (define @t108 () (forall @t107 @t98)) % 0.39/0.62 (define @t109 () (forall (@list @t84) @t85)) % 0.39/0.62 (define @t110 () (@list @t38)) % 0.39/0.62 (define @t111 () (forall @t107 @t85)) % 0.39/0.62 (define @t112 () (forall (@list @t86) @t87)) % 0.39/0.62 (define @t113 () (forall @t107 @t87)) % 0.39/0.62 (define @t114 () (and @t113 @t111)) % 0.39/0.62 (define @t115 () (forall @t107 @t88)) % 0.39/0.62 (define @t116 () (or @t97 @t115)) % 0.39/0.62 (define @t117 () (forall @t41 (or @t95 @t90))) % 0.39/0.62 (define @t118 () (forall @t41 (or @t95 @t92))) % 0.39/0.62 (define @t119 () (not @t117)) % 0.39/0.62 (define @t120 () (not @t118)) % 0.39/0.62 (define @t121 () (or @t97 (not (or @t120 @t119)))) % 0.39/0.62 (define @t122 () (not (tptp.rel_k @t17 @t38))) % 0.39/0.62 (define @t123 () (forall @t41 (or @t122 @t90))) % 0.39/0.62 (define @t124 () (not @t123)) % 0.39/0.62 (define @t125 () (forall @t41 (or @t122 @t92))) % 0.39/0.62 (define @t126 () (not @t125)) % 0.39/0.62 (define @t127 () (not (or @t126 @t124))) % 0.39/0.62 (define @t128 () (forall @t41 (or @t122 @t93))) % 0.39/0.62 (define @t129 () (not @t128)) % 0.39/0.62 (define @t130 () (@list @t17)) % 0.39/0.62 (define @t131 () (lambda @t130 (or @t129 @t127))) % 0.39/0.62 (define @t132 () (_ @t131 @t4)) % 0.39/0.62 (define @t133 () (forall @t36 @t132)) % 0.39/0.62 (define @t134 () (_ @t9 @t4)) % 0.39/0.62 (define @t135 () (lambda @t72 (forall @t36 @t134))) % 0.39/0.62 (define @t136 () (lambda @t130 @t127)) % 0.39/0.62 (define @t137 () (_ @t136 @t17)) % 0.39/0.62 (define @t138 () (or @t129 @t137)) % 0.39/0.62 (define @t139 () (lambda @t130 @t138)) % 0.39/0.62 (define @t140 () (_ @t14 @t17)) % 0.39/0.62 (define @t141 () (@list @t14 @t17)) % 0.39/0.62 (define @t142 () (lambda @t36 @t117)) % 0.39/0.62 (define @t143 () (_ @t142 @t17)) % 0.39/0.62 (define @t144 () (not @t143)) % 0.39/0.62 (define @t145 () (or @t126 @t144)) % 0.39/0.62 (define @t146 () (not @t145)) % 0.39/0.62 (define @t147 () (lambda @t130 @t146)) % 0.39/0.62 (define @t148 () (not @t140)) % 0.39/0.62 (define @t149 () (lambda @t130 @t124)) % 0.39/0.62 (define @t150 () (_ @t149 @t4)) % 0.39/0.62 (define @t151 () (not @t150)) % 0.39/0.62 (define @t152 () (lambda @t36 @t151)) % 0.39/0.62 (define @t153 () (_ @t9 @t38)) % 0.39/0.62 (define @t154 () (not @t153)) % 0.39/0.62 (define @t155 () (not (forall @t41 (or @t122 @t154)))) % 0.39/0.62 (define @t156 () (lambda @t82 @t155)) % 0.39/0.62 (define @t157 () (_ @t156 tptp.q)) % 0.39/0.62 (define @t158 () (lambda @t36 @t118)) % 0.39/0.62 (define @t159 () (_ @t158 @t17)) % 0.39/0.62 (define @t160 () (not @t159)) % 0.39/0.62 (define @t161 () (or @t160 @t148)) % 0.39/0.62 (define @t162 () (not @t161)) % 0.39/0.62 (define @t163 () (lambda @t141 @t162)) % 0.39/0.62 (define @t164 () (not (_ @t9 @t17))) % 0.39/0.62 (define @t165 () (not (or @t164 @t148))) % 0.39/0.62 (define @t166 () (lambda @t21 @t165)) % 0.39/0.62 (define @t167 () (lambda @t130 @t126)) % 0.39/0.62 (define @t168 () (_ @t167 @t4)) % 0.39/0.62 (define @t169 () (not @t168)) % 0.39/0.62 (define @t170 () (lambda @t36 @t169)) % 0.39/0.62 (define @t171 () (_ @t156 tptp.p)) % 0.39/0.62 (define @t172 () (lambda @t36 @t96)) % 0.39/0.62 (define @t173 () (_ @t172 @t17)) % 0.39/0.62 (define @t174 () (not @t173)) % 0.39/0.62 (define @t175 () (or @t174 @t140)) % 0.39/0.62 (define @t176 () (lambda @t141 @t175)) % 0.39/0.62 (define @t177 () (or @t164 @t140)) % 0.39/0.62 (define @t178 () (lambda @t21 @t177)) % 0.39/0.62 (define @t179 () (lambda @t130 @t129)) % 0.39/0.62 (define @t180 () (_ @t179 @t4)) % 0.39/0.62 (define @t181 () (not @t180)) % 0.39/0.62 (define @t182 () (lambda @t36 @t181)) % 0.39/0.62 (define @t183 () (_ tptp.q @t38)) % 0.39/0.62 (define @t184 () (not @t183)) % 0.39/0.62 (define @t185 () (_ tptp.p @t38)) % 0.39/0.62 (define @t186 () (not @t185)) % 0.39/0.62 (define @t187 () (and @t186 @t184)) % 0.39/0.62 (define @t188 () (or @t122 @t187)) % 0.39/0.62 (define @t189 () (or @t185 @t183)) % 0.39/0.62 (define @t190 () (or @t122 (not @t189))) % 0.39/0.62 (define @t191 () (_ tptp.p @t4)) % 0.39/0.62 (define @t192 () (lambda @t36 (or @t191 (_ tptp.q @t4)))) % 0.39/0.62 (define @t193 () (_ @t192 @t38)) % 0.39/0.62 (define @t194 () (not @t193)) % 0.39/0.62 (define @t195 () (or @t122 @t194)) % 0.39/0.62 (define @t196 () (forall @t41 @t195)) % 0.39/0.62 (define @t197 () (not @t196)) % 0.39/0.62 (define @t198 () (lambda @t130 @t197)) % 0.39/0.62 (define @t199 () (@list @t14 @t4)) % 0.39/0.62 (define @t200 () (lambda @t199 (or @t191 @t15))) % 0.39/0.62 (define @t201 () (_ @t16 tptp.p)) % 0.39/0.62 (define @t202 () (forall @t41 (or @t95 @t154))) % 0.39/0.62 (define @t203 () (lambda @t36 @t202)) % 0.39/0.62 (define @t204 () (_ @t203 @t4)) % 0.39/0.62 (define @t205 () (not @t204)) % 0.39/0.62 (define @t206 () (lambda @t36 @t205)) % 0.39/0.62 (define @t207 () (not @t39)) % 0.39/0.62 (define @t208 () (or @t95 @t207)) % 0.39/0.62 (define @t209 () (lambda @t36 @t11)) % 0.39/0.62 (define @t210 () (_ @t209 @t38)) % 0.39/0.62 (define @t211 () (or @t95 @t210)) % 0.39/0.62 (define @t212 () (forall @t41 @t211)) % 0.39/0.62 (define @t213 () (lambda @t36 @t212)) % 0.39/0.62 (define @t214 () (lambda @t12 (forall @t41 (or @t95 @t153)))) % 0.39/0.62 (define @t215 () (not @t15)) % 0.39/0.62 (define @t216 () (or @t11 @t215)) % 0.39/0.62 (define @t217 () (lambda @t36 @t216)) % 0.39/0.62 (define @t218 () (_ @t217 @t4)) % 0.39/0.62 (define @t219 () (not @t218)) % 0.39/0.62 (define @t220 () (lambda @t36 @t219)) % 0.39/0.62 (define @t221 () (lambda @t36 @t215)) % 0.39/0.62 (define @t222 () (_ @t221 @t4)) % 0.39/0.62 (define @t223 () (or @t11 @t222)) % 0.39/0.62 (define @t224 () (lambda @t36 @t223)) % 0.39/0.62 (define @t225 () (or @t11 @t15)) % 0.39/0.62 (define @t226 () (lambda @t199 @t225)) % 0.39/0.62 (define @t227 () (_ @t209 @t4)) % 0.39/0.62 (define @t228 () (or @t227 @t15)) % 0.39/0.62 (define @t229 () (lambda @t199 @t228)) % 0.39/0.62 (define @t230 () (lambda @t36 @t225)) % 0.39/0.62 (define @t231 () (forall @t41 (or (not (tptp.rel_k @t101 @t38)) @t93))) % 0.39/0.62 (define @t232 () (@quantifiers_skolemize @t99 1)) % 0.39/0.62 (define @t233 () (tptp.p @t232)) % 0.39/0.62 (define @t234 () (not @t233)) % 0.39/0.62 (define @t235 () (tptp.rel_k @t101 @t232)) % 0.39/0.62 (define @t236 () (not @t235)) % 0.39/0.62 (define @t237 () (or @t236 @t234)) % 0.39/0.62 (define @t238 () (and @t237 @t106)) % 0.39/0.62 (define @t239 () (not @t231)) % 0.39/0.62 (define @t240 () (or @t239 @t238)) % 0.39/0.62 (define @t241 () (@list true)) % 0.39/0.62 (define @t242 () (@list @t240)) % 0.39/0.62 (define @t243 () (and (not (tptp.p @t100)) @t104)) % 0.39/0.62 (define @t244 () (or @t105 @t243)) % 0.39/0.62 (define @t245 () (@list @t237)) % 0.39/0.62 (define @t246 () (and @t234 (not (tptp.q @t232)))) % 0.39/0.62 (define @t247 () (or @t236 @t246)) % 0.39/0.62 (define @t248 () (@list false false)) % 0.39/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.39/0.62 (assume @p2 @t1) % 0.39/0.62 (assume @p3 true) % 0.39/0.62 (step @p4 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.39/0.62 (step @p5 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.39/0.62 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.39/0.62 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.39/0.62 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.39/0.62 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.39/0.62 (step @p10 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.39/0.62 (step @p11 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.39/0.62 (step @p12 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.39/0.62 (step @p13 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.39/0.62 (step @p14 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.39/0.62 (step @p15 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.39/0.62 (step @p16 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.39/0.62 (step @p17 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.39/0.62 (step @p18 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.39/0.62 (step @p19 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.39/0.62 (step @p20 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.39/0.62 (step @p21 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.39/0.62 (step @p22 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.39/0.62 (step @p23 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.39/0.62 (step @p24 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.39/0.62 (step @p25 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.39/0.62 (step @p26 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.39/0.62 (step @p27 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.39/0.62 (step @p28 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.39/0.62 (step @p29 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.39/0.62 (step @p30 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.39/0.62 (step @p31 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.39/0.62 (step @p32 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.39/0.62 (step @p33 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.39/0.62 (step @p34 (= tptp.mbox_k @t81) :rule refl :args (@t81)) % 0.39/0.62 (step @p35 (= tptp.mdia_k @t83) :rule refl :args (@t83)) % 0.39/0.62 (step @p36 :rule bool-double-not-elim :args (@t102)) % 0.39/0.62 (step @p37 :rule refl :args (@t106)) % 0.39/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t106 (not @t105)))) % 0.39/0.62 (step @p39 :rule cnf_or_neg :args (@t106 0)) % 0.39/0.62 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.39/0.62 (step @p41 :rule reordering :premises (@p40) :args ((or @t102 @t106))) % 0.39/0.62 (step @p42 :rule bool-double-not-elim :args (@t103)) % 0.39/0.62 (step @p43 :rule nary_cong :premises (@p37 @p42) :args ((or @t106 (not @t104)))) % 0.39/0.62 (step @p44 :rule cnf_or_neg :args (@t106 1)) % 0.39/0.62 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.39/0.62 (step @p46 :rule reordering :premises (@p45) :args ((or @t103 @t106))) % 0.39/0.62 (step @p47 :rule quant-merge-prenex :args ((= (forall @t36 @t108) @t99))) % 0.39/0.62 (step @p48 :rule alpha_equiv :args (@t109 (@list @t84) @t110)) % 0.39/0.62 (step @p49 :rule quant-unused-vars :args ((= @t111 @t109))) % 0.39/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.62 (step @p51 :rule alpha_equiv :args (@t112 (@list @t86) @t110)) % 0.39/0.62 (step @p52 :rule quant-unused-vars :args ((= @t113 @t112))) % 0.39/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.62 (step @p54 :rule nary_cong :premises (@p53 @p50) :args (@t114)) % 0.39/0.62 (step @p55 :rule quant-miniscope-and :args ((= @t115 @t114))) % 0.39/0.62 (step @p56 :rule trans :premises (@p55 @p54)) % 0.39/0.62 (step @p57 :rule refl :args (@t97)) % 0.39/0.62 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t116)) % 0.39/0.62 (step @p59 :rule quant-miniscope-or :args ((= @t108 @t116))) % 0.39/0.62 (step @p60 :rule trans :premises (@p59 @p58)) % 0.39/0.62 (step @p61 :rule symm :premises (@p60)) % 0.39/0.62 (step @p62 :rule cong :premises (@p61) :args ((forall @t36 (or @t97 (and @t118 @t117))))) % 0.39/0.62 (step @p63 :rule trans :premises (@p62 @p47)) % 0.39/0.62 (step @p64 :rule bool-double-not-elim :args (@t117)) % 0.39/0.62 (step @p65 :rule bool-double-not-elim :args (@t118)) % 0.39/0.62 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((and (not @t120) (not @t119)))) % 0.39/0.62 (step @p67 :rule bool-or-de-morgan :args (@t120 @t119 false)) % 0.39/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.62 (step @p69 :rule nary_cong :premises (@p57 @p68) :args (@t121)) % 0.39/0.62 (step @p70 :rule cong :premises (@p69) :args ((forall @t36 @t121))) % 0.39/0.62 (step @p71 :rule trans :premises (@p70 @p63)) % 0.39/0.62 (step @p72 :rule beta-reduce :args ((= @t132 @t121))) % 0.39/0.62 (step @p73 :rule cong :premises (@p72) :args (@t133)) % 0.39/0.62 (step @p74 :rule trans :premises (@p73 @p71)) % 0.39/0.62 (step @p75 :rule beta-reduce :args ((= (_ @t135 @t131) @t133))) % 0.39/0.62 (step @p76 :rule trans :premises (@p75 @p74)) % 0.39/0.62 (step @p77 :rule beta-reduce :args ((= @t137 @t127))) % 0.39/0.62 (step @p78 :rule refl :args (@t129)) % 0.39/0.62 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t138)) % 0.39/0.62 (step @p80 :rule cong :premises (@p79) :args (@t139)) % 0.39/0.62 (step @p81 :rule beta-reduce :args ((= (_ (lambda @t141 (or @t129 @t140)) @t136) @t139))) % 0.39/0.62 (step @p82 :rule trans :premises (@p81 @p80)) % 0.39/0.62 (step @p83 :rule beta-reduce :args ((= @t143 @t123))) % 0.39/0.62 (step @p84 :rule cong :premises (@p83) :args (@t144)) % 0.39/0.62 (step @p85 :rule refl :args (@t126)) % 0.39/0.62 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t145)) % 0.39/0.62 (step @p87 :rule cong :premises (@p86) :args (@t146)) % 0.39/0.62 (step @p88 :rule cong :premises (@p87) :args (@t147)) % 0.39/0.62 (step @p89 :rule beta-reduce :args ((= (_ (lambda @t141 (not (or @t126 @t148))) @t142) @t147))) % 0.39/0.62 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.62 (step @p91 :rule beta-reduce :args ((= @t150 @t119))) % 0.39/0.62 (step @p92 :rule cong :premises (@p91) :args (@t151)) % 0.39/0.62 (step @p93 :rule trans :premises (@p92 @p64)) % 0.39/0.62 (step @p94 :rule cong :premises (@p93) :args (@t152)) % 0.39/0.62 (step @p95 :rule beta-reduce :args ((= (_ @t13 @t149) @t152))) % 0.39/0.62 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.62 (step @p97 :rule beta-reduce :args ((= @t157 @t149))) % 0.39/0.62 (step @p98 :rule refl :args (@t13)) % 0.39/0.62 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 0.39/0.62 (step @p100 :rule trans :premises (@p99 @p96)) % 0.39/0.62 (step @p101 :rule refl :args (@t148)) % 0.39/0.62 (step @p102 :rule beta-reduce :args ((= @t159 @t125))) % 0.39/0.62 (step @p103 :rule cong :premises (@p102) :args (@t160)) % 0.39/0.62 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t161)) % 0.39/0.62 (step @p105 :rule cong :premises (@p104) :args (@t162)) % 0.39/0.62 (step @p106 :rule cong :premises (@p105) :args (@t163)) % 0.39/0.62 (step @p107 :rule beta-reduce :args ((= (_ @t166 @t158) @t163))) % 0.39/0.62 (step @p108 :rule trans :premises (@p107 @p106)) % 0.39/0.62 (step @p109 :rule beta-reduce :args ((= @t168 @t120))) % 0.39/0.62 (step @p110 :rule cong :premises (@p109) :args (@t169)) % 0.39/0.62 (step @p111 :rule trans :premises (@p110 @p65)) % 0.39/0.62 (step @p112 :rule cong :premises (@p111) :args (@t170)) % 0.39/0.62 (step @p113 :rule beta-reduce :args ((= (_ @t13 @t167) @t170))) % 0.39/0.62 (step @p114 :rule trans :premises (@p113 @p112)) % 0.39/0.62 (step @p115 :rule beta-reduce :args ((= @t171 @t167))) % 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0.39/0.62 (step @p269 :rule refl :args (@t14)) % 0.39/0.62 (step @p270 :rule ho_cong :premises (@p6 @p269)) % 0.39/0.62 (step @p271 :rule ho_cong :premises (@p7 @p219)) % 0.39/0.62 (step @p272 :rule ho_cong :premises (@p271 @p270)) % 0.39/0.62 (step @p273 :rule ho_cong :premises (@p6 @p272)) % 0.39/0.62 (step @p274 :rule ho_cong :premises (@p273 @p187)) % 0.39/0.62 (step @p275 :rule trans :premises (@p274 @p268)) % 0.39/0.62 (step @p276 :rule cong :premises (@p275) :args (@t22)) % 0.39/0.62 (step @p277 :rule trans :premises (@p8 @p276)) % 0.39/0.62 (step @p278 :rule ho_cong :premises (@p277 @p240)) % 0.39/0.62 (step @p279 :rule ho_cong :premises (@p278 @p237)) % 0.39/0.62 (step @p280 :rule ho_cong :premises (@p7 @p238)) % 0.39/0.62 (step @p281 :rule ho_cong :premises (@p280 @p168)) % 0.39/0.62 (step @p282 :rule ho_cong :premises (@p235 @p281)) % 0.39/0.62 (step @p283 :rule ho_cong :premises (@p6 @p282)) % 0.39/0.62 (step @p284 :rule beta-reduce :args ((= (_ @t230 @t17) @t177))) % 0.39/0.62 (step @p285 :rule beta-reduce :args ((= (_ @t226 @t14) @t230))) % 0.39/0.62 (step @p286 :rule ho_cong :premises (@p262 @p269)) % 0.39/0.62 (step @p287 :rule trans :premises (@p286 @p285)) % 0.39/0.62 (step @p288 :rule ho_cong :premises (@p287 @p187)) % 0.39/0.62 (step @p289 :rule trans :premises (@p288 @p284)) % 0.39/0.62 (step @p290 :rule ho_cong :premises (@p271 @p269)) % 0.39/0.62 (step @p291 :rule ho_cong :premises (@p290 @p187)) % 0.39/0.62 (step @p292 :rule trans :premises (@p291 @p289)) % 0.39/0.62 (step @p293 :rule cong :premises (@p292) :args (@t23)) % 0.39/0.62 (step @p294 :rule trans :premises (@p9 @p293)) % 0.39/0.62 (step @p295 :rule ho_cong :premises (@p294 @p283)) % 0.39/0.62 (step @p296 :rule ho_cong :premises (@p295 @p279)) % 0.39/0.62 (step @p297 :rule refl :args (@t134)) % 0.39/0.62 (step @p298 :rule refl :args (@t10)) % 0.39/0.62 (step @p299 :rule cong :premises (@p298 @p297) :args ((= @t10 @t134))) % 0.39/0.62 (step @p300 :rule symm :premises (@p299)) % 0.39/0.62 (step @p301 :rule eq_resolve :premises (@p298 @p300)) % 0.39/0.62 (step @p302 :rule cong :premises (@p301) :args (@t71)) % 0.39/0.62 (step @p303 :rule cong :premises (@p302) :args (@t73)) % 0.39/0.62 (step @p304 :rule trans :premises (@p30 @p303)) % 0.39/0.62 (step @p305 :rule ho_cong :premises (@p304 @p296)) % 0.39/0.62 (step @p306 :rule cong :premises (@p305) :args (@t1)) % 0.39/0.62 (step @p307 :rule trans :premises (@p306 @p185)) % 0.39/0.62 (step @p308 :rule eq_resolve :premises (@p2 @p307)) % 0.39/0.62 (step @p309 :rule skolemize :premises (@p308)) % 0.39/0.62 (step @p310 :rule bool-double-not-elim :args (@t231)) % 0.39/0.62 (step @p311 :rule refl :args (@t240)) % 0.39/0.62 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or @t240 (not @t239)))) % 0.39/0.62 (step @p313 :rule cnf_or_neg :args (@t240 0)) % 0.39/0.62 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 0.39/0.62 (step @p315 :rule reordering :premises (@p314) :args ((or @t231 @t240))) % 0.39/0.62 (step @p316 :rule chain_m_resolution :premises (@p315 @p309) :args (@t231 @t241 @t242)) % 0.39/0.62 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t100))) % 0.39/0.62 (step @p318 :rule cnf_or_pos :args (@t244)) % 0.39/0.62 (step @p319 :rule reordering :premises (@p318) :args ((or @t105 @t243 (not @t244)))) % 0.39/0.62 (step @p320 :rule cnf_and_pos :args (@t243 1)) % 0.39/0.62 (step @p321 :rule reordering :premises (@p320) :args ((or @t104 (not @t243)))) % 0.39/0.62 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p317 @p46 @p41) :args (@t106 (@list false false false false) (@list @t243 @t244 @t103 @t102))) % 0.39/0.62 (step @p323 :rule cnf_or_neg :args (@t240 1)) % 0.39/0.62 (step @p324 :rule chain_m_resolution :premises (@p323 @p309) :args ((not @t238) @t241 @t242)) % 0.39/0.62 (step @p325 :rule cnf_and_neg :args (@t238)) % 0.39/0.62 (step @p326 :rule chain_m_resolution :premises (@p325 @p324 @p322) :args ((not @t237) (@list true false) (@list @t238 @t106))) % 0.39/0.62 (step @p327 :rule bool-double-not-elim :args (@t233)) % 0.39/0.62 (step @p328 :rule refl :args (@t237)) % 0.39/0.62 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t237 (not @t234)))) % 0.39/0.62 (step @p330 :rule cnf_or_neg :args (@t237 1)) % 0.39/0.62 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 0.39/0.62 (step @p332 :rule reordering :premises (@p331) :args ((or @t233 @t237))) % 0.39/0.62 (step @p333 :rule chain_m_resolution :premises (@p332 @p326) :args (@t233 @t241 @t245)) % 0.39/0.62 (step @p334 :rule instantiate :premises (@p316) :args ((@list @t232))) % 0.39/0.62 (step @p335 :rule bool-double-not-elim :args (@t235)) % 0.39/0.62 (step @p336 :rule nary_cong :premises (@p328 @p335) :args ((or @t237 (not @t236)))) % 0.39/0.62 (step @p337 :rule cnf_or_neg :args (@t237 0)) % 0.39/0.62 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.39/0.62 (step @p339 :rule reordering :premises (@p338) :args ((or @t235 @t237))) % 0.39/0.62 (step @p340 :rule chain_m_resolution :premises (@p339 @p326) :args (@t235 @t241 @t245)) % 0.39/0.62 (step @p341 :rule cnf_or_pos :args (@t247)) % 0.39/0.62 (step @p342 :rule reordering :premises (@p341) :args ((or @t236 @t246 (not @t247)))) % 0.39/0.62 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p334) :args (@t246 @t248 (@list @t235 @t247))) % 0.39/0.62 (step @p344 :rule cnf_and_pos :args (@t246 0)) % 0.39/0.62 (step @p345 :rule reordering :premises (@p344) :args ((or @t234 (not @t246)))) % 0.39/0.62 (step @p346 false :rule chain_m_resolution :premises (@p345 @p343 @p333) :args (false @t248 (@list @t246 @t233))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------