%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO404^1 : 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 : n015.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 09:12:35 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO404^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:07:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-sort tptp.mu 0) % 0.38/0.61 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.61 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.61 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.61 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.61 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.61 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.38/0.61 (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)))))) % 0.38/0.61 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.61 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.61 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.61 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.61 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.38/0.61 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.61 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.61 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.61 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.61 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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)))))))) % 0.38/0.61 (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))))) % 0.38/0.61 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ (_ tptp.mand (_ tptp.mbox_k (_ (_ tptp.mimplies tptp.q) tptp.p))) (_ tptp.mbox_k (_ (_ tptp.mimplies (_ tptp.mnot tptp.q)) tptp.p)))) (_ tptp.mbox_k tptp.p))))) % 0.38/0.61 (define @t2 () (@var "Y" tptp.mu)) % 0.38/0.61 (define @t3 () (@var "X" tptp.mu)) % 0.38/0.61 (define @t4 () (@var "W" $$unsorted)) % 0.38/0.61 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.38/0.61 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.61 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.61 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.38/0.61 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t10 () (_ @t9 @t4)) % 0.38/0.61 (define @t11 () (not @t10)) % 0.38/0.61 (define @t12 () (@list @t9 @t4)) % 0.38/0.61 (define @t13 () (lambda @t12 @t11)) % 0.38/0.61 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.61 (define @t15 () (_ @t14 @t4)) % 0.38/0.61 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.38/0.61 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.61 (define @t18 () (_ tptp.mnot @t14)) % 0.38/0.61 (define @t19 () (_ tptp.mnot @t9)) % 0.38/0.61 (define @t20 () (_ tptp.mor @t19)) % 0.38/0.61 (define @t21 () (@list @t9 @t14 @t17)) % 0.38/0.61 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.38/0.61 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.38/0.61 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.38/0.61 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.38/0.61 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.38/0.61 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.61 (define @t28 () (_ @t27 @t3)) % 0.38/0.61 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.38/0.61 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.61 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.61 (define @t32 () (_ @t31 @t30)) % 0.38/0.61 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.38/0.61 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.38/0.61 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.38/0.61 (define @t36 () (@list @t4)) % 0.38/0.61 (define @t37 () (lambda @t36 true)) % 0.38/0.61 (define @t38 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t39 () (_ @t9 @t38)) % 0.38/0.61 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.61 (define @t41 () (@list @t38)) % 0.38/0.61 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.38/0.61 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.38/0.61 (define @t44 () (@var "S" $$unsorted)) % 0.38/0.61 (define @t45 () (_ @t40 @t44)) % 0.38/0.61 (define @t46 () (@list @t44)) % 0.38/0.61 (define @t47 () (@list @t40)) % 0.38/0.61 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.38/0.61 (define @t49 () (@var "T" $$unsorted)) % 0.38/0.61 (define @t50 () (_ @t40 @t49)) % 0.38/0.61 (define @t51 () (_ @t45 @t49)) % 0.38/0.61 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.38/0.61 (define @t53 () (@list @t49)) % 0.38/0.61 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.38/0.61 (define @t55 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t56 () (_ @t45 @t55)) % 0.38/0.61 (define @t57 () (_ @t50 @t55)) % 0.38/0.61 (define @t58 () (@list @t44 @t49 @t55)) % 0.38/0.61 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.38/0.61 (define @t60 () (and @t51 @t56)) % 0.38/0.61 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.38/0.61 (define @t62 () (= @t49 @t55)) % 0.38/0.61 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.38/0.61 (define @t64 () (@list @t55)) % 0.38/0.61 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.38/0.61 (define @t66 () (_ @t40 @t55)) % 0.38/0.61 (define @t67 () (_ @t66 @t49)) % 0.38/0.61 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.38/0.61 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.38/0.61 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.38/0.61 (define @t71 () (forall @t36 @t10)) % 0.38/0.61 (define @t72 () (@list @t9)) % 0.38/0.61 (define @t73 () (lambda @t72 @t71)) % 0.38/0.61 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.38/0.61 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.38/0.61 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.38/0.61 (define @t77 () (_ (_ tptp.rel_k @t4) @t38)) % 0.38/0.61 (define @t78 () (not @t77)) % 0.38/0.61 (define @t79 () (or @t78 @t39)) % 0.38/0.61 (define @t80 () (forall @t41 @t79)) % 0.38/0.61 (define @t81 () (lambda @t12 @t80)) % 0.38/0.61 (define @t82 () (lambda (@list @t9 @t17) (_ (_ tptp.mnot (_ tptp.mbox_k @t19)) @t17))) % 0.38/0.61 (define @t83 () (tptp.p @t38)) % 0.38/0.61 (define @t84 () (tptp.q @t38)) % 0.38/0.61 (define @t85 () (not @t84)) % 0.38/0.61 (define @t86 () (@var "BOUND_VARIABLE_8584" $$unsorted)) % 0.38/0.61 (define @t87 () (tptp.p @t86)) % 0.38/0.61 (define @t88 () (@var "BOUND_VARIABLE_8553" $$unsorted)) % 0.38/0.61 (define @t89 () (not (tptp.rel_k @t88 @t86))) % 0.38/0.61 (define @t90 () (not (tptp.rel_k @t88 @t38))) % 0.38/0.61 (define @t91 () (not (forall @t41 (or @t90 @t84 @t83)))) % 0.38/0.61 (define @t92 () (not (forall @t41 (or @t90 @t85 @t83)))) % 0.38/0.61 (define @t93 () (or @t92 @t91 @t89 @t87)) % 0.38/0.61 (define @t94 () (@list @t88 @t86)) % 0.38/0.61 (define @t95 () (forall @t94 @t93)) % 0.38/0.61 (define @t96 () (@quantifiers_skolemize @t95 0)) % 0.38/0.61 (define @t97 () (not (tptp.rel_k @t96 @t38))) % 0.38/0.61 (define @t98 () (forall @t41 (or @t97 @t85 @t83))) % 0.38/0.61 (define @t99 () (@quantifiers_skolemize @t95 1)) % 0.38/0.61 (define @t100 () (tptp.p @t99)) % 0.38/0.61 (define @t101 () (tptp.rel_k @t96 @t99)) % 0.38/0.61 (define @t102 () (not @t101)) % 0.38/0.61 (define @t103 () (forall @t41 (or @t97 @t84 @t83))) % 0.38/0.61 (define @t104 () (not @t103)) % 0.38/0.61 (define @t105 () (not @t98)) % 0.38/0.61 (define @t106 () (or @t105 @t104 @t102 @t100)) % 0.38/0.61 (define @t107 () (@list @t99)) % 0.38/0.61 (define @t108 () (tptp.q @t99)) % 0.38/0.61 (define @t109 () (not @t108)) % 0.38/0.61 (define @t110 () (or @t102 @t109 @t100)) % 0.38/0.61 (define @t111 () (or @t102 @t108 @t100)) % 0.38/0.61 (define @t112 () (not @t106)) % 0.38/0.61 (define @t113 () (not @t95)) % 0.38/0.61 (define @t114 () (@list false)) % 0.38/0.61 (define @t115 () (@var "BOUND_VARIABLE_8603" $$unsorted)) % 0.38/0.61 (define @t116 () (@var "BOUND_VARIABLE_8568" $$unsorted)) % 0.38/0.61 (define @t117 () (or (not (tptp.rel_k @t116 @t115)) (tptp.q @t115) (tptp.p @t115))) % 0.38/0.61 (define @t118 () (@var "BOUND_VARIABLE_8595" $$unsorted)) % 0.38/0.61 (define @t119 () (or (not (tptp.rel_k @t116 @t118)) (not (tptp.q @t118)) (tptp.p @t118))) % 0.38/0.61 (define @t120 () (and @t119 @t117)) % 0.38/0.61 (define @t121 () (not (tptp.rel_k @t116 @t38))) % 0.38/0.61 (define @t122 () (not (forall @t41 (or @t121 @t83)))) % 0.38/0.61 (define @t123 () (or @t122 @t120)) % 0.38/0.61 (define @t124 () (forall (@list @t116 @t118 @t115) @t123)) % 0.38/0.61 (define @t125 () (@list @t118 @t115)) % 0.38/0.61 (define @t126 () (forall @t125 @t123)) % 0.38/0.61 (define @t127 () (@list @t116)) % 0.38/0.61 (define @t128 () (forall (@list @t115) @t117)) % 0.38/0.61 (define @t129 () (@list @t38)) % 0.38/0.61 (define @t130 () (forall @t125 @t117)) % 0.38/0.61 (define @t131 () (forall (@list @t118) @t119)) % 0.38/0.61 (define @t132 () (forall @t125 @t119)) % 0.38/0.61 (define @t133 () (and @t132 @t130)) % 0.38/0.61 (define @t134 () (forall @t125 @t120)) % 0.38/0.61 (define @t135 () (or @t122 @t134)) % 0.38/0.61 (define @t136 () (forall @t127 (or @t122 (and (forall @t41 (or @t121 @t85 @t83)) (forall @t41 (or @t121 @t84 @t83)))))) % 0.38/0.61 (define @t137 () (or @t89 @t87)) % 0.38/0.61 (define @t138 () (or @t137 @t92 @t91)) % 0.38/0.61 (define @t139 () (forall @t94 @t138)) % 0.38/0.61 (define @t140 () (@list @t86)) % 0.38/0.61 (define @t141 () (forall @t140 @t138)) % 0.38/0.61 (define @t142 () (@list @t88)) % 0.38/0.61 (define @t143 () (forall @t140 @t137)) % 0.38/0.61 (define @t144 () (or @t143 @t92 @t91)) % 0.38/0.61 (define @t145 () (forall @t142 (or (forall @t41 (or @t90 @t83)) @t92 @t91))) % 0.38/0.61 (define @t146 () (tptp.rel_k @t4 @t38)) % 0.38/0.61 (define @t147 () (not @t146)) % 0.38/0.61 (define @t148 () (forall @t41 (or @t147 @t84 @t83))) % 0.38/0.61 (define @t149 () (forall @t41 (or @t147 @t85 @t83))) % 0.38/0.61 (define @t150 () (forall @t41 (or @t147 @t83))) % 0.38/0.61 (define @t151 () (not @t150)) % 0.38/0.61 (define @t152 () (or @t151 (and @t149 @t148))) % 0.38/0.61 (define @t153 () (forall @t36 @t152)) % 0.38/0.61 (define @t154 () (@list @t4)) % 0.38/0.61 (define @t155 () (not @t148)) % 0.38/0.61 (define @t156 () (not @t149)) % 0.38/0.61 (define @t157 () (or @t150 @t156 @t155)) % 0.38/0.61 (define @t158 () (forall @t36 @t157)) % 0.38/0.61 (define @t159 () (and @t158 @t153)) % 0.38/0.61 (define @t160 () (or @t151 (not (or @t156 @t155)))) % 0.38/0.61 (define @t161 () (not @t160)) % 0.38/0.61 (define @t162 () (not @t157)) % 0.38/0.61 (define @t163 () (not (or @t162 @t161))) % 0.38/0.61 (define @t164 () (not (tptp.rel_k @t17 @t38))) % 0.38/0.61 (define @t165 () (forall @t41 (or @t164 @t84 @t83))) % 0.38/0.61 (define @t166 () (not @t165)) % 0.38/0.61 (define @t167 () (forall @t41 (or @t164 @t85 @t83))) % 0.38/0.61 (define @t168 () (not @t167)) % 0.38/0.61 (define @t169 () (or @t168 @t166)) % 0.38/0.61 (define @t170 () (not @t169)) % 0.38/0.61 (define @t171 () (forall @t41 (or @t164 @t83))) % 0.38/0.61 (define @t172 () (@list @t17)) % 0.38/0.61 (define @t173 () (lambda @t172 (not (or (not (or @t171 @t168 @t166)) (not (or (not @t171) @t170)))))) % 0.38/0.61 (define @t174 () (_ @t173 @t4)) % 0.38/0.61 (define @t175 () (forall @t36 @t174)) % 0.38/0.61 (define @t176 () (_ @t9 @t4)) % 0.38/0.61 (define @t177 () (lambda @t72 (forall @t36 @t176))) % 0.38/0.61 (define @t178 () (lambda @t36 @t150)) % 0.38/0.61 (define @t179 () (_ @t178 @t17)) % 0.38/0.61 (define @t180 () (not @t179)) % 0.38/0.61 (define @t181 () (or @t180 @t170)) % 0.38/0.61 (define @t182 () (not @t181)) % 0.38/0.61 (define @t183 () (or @t179 @t168 @t166)) % 0.38/0.61 (define @t184 () (not @t183)) % 0.38/0.61 (define @t185 () (or @t184 @t182)) % 0.38/0.61 (define @t186 () (not @t185)) % 0.38/0.61 (define @t187 () (lambda @t172 @t186)) % 0.38/0.61 (define @t188 () (_ @t14 @t17)) % 0.38/0.61 (define @t189 () (not @t188)) % 0.38/0.61 (define @t190 () (or @t188 @t168 @t166)) % 0.38/0.61 (define @t191 () (@list @t14 @t17)) % 0.38/0.61 (define @t192 () (_ @t9 @t38)) % 0.38/0.61 (define @t193 () (lambda @t12 (forall @t41 (or @t147 @t192)))) % 0.38/0.61 (define @t194 () (_ @t193 tptp.p)) % 0.38/0.61 (define @t195 () (lambda @t172 @t170)) % 0.38/0.61 (define @t196 () (_ @t195 @t17)) % 0.38/0.61 (define @t197 () (or @t189 @t196)) % 0.38/0.61 (define @t198 () (not @t197)) % 0.38/0.61 (define @t199 () (not @t196)) % 0.38/0.61 (define @t200 () (or @t199 @t188)) % 0.38/0.61 (define @t201 () (not @t200)) % 0.38/0.61 (define @t202 () (or @t201 @t198)) % 0.38/0.61 (define @t203 () (not @t202)) % 0.38/0.61 (define @t204 () (lambda @t191 @t203)) % 0.38/0.61 (define @t205 () (_ @t9 @t17)) % 0.38/0.61 (define @t206 () (or @t189 @t205)) % 0.38/0.61 (define @t207 () (not @t205)) % 0.38/0.61 (define @t208 () (or @t207 @t188)) % 0.38/0.61 (define @t209 () (not @t208)) % 0.38/0.61 (define @t210 () (not (or @t209 (not @t206)))) % 0.38/0.61 (define @t211 () (lambda @t21 @t210)) % 0.38/0.61 (define @t212 () (lambda @t36 @t148)) % 0.38/0.61 (define @t213 () (_ @t212 @t17)) % 0.38/0.61 (define @t214 () (not @t213)) % 0.38/0.61 (define @t215 () (or @t168 @t214)) % 0.38/0.61 (define @t216 () (not @t215)) % 0.38/0.61 (define @t217 () (lambda @t172 @t216)) % 0.38/0.61 (define @t218 () (_ tptp.p @t38)) % 0.38/0.61 (define @t219 () (_ tptp.q @t38)) % 0.38/0.61 (define @t220 () (or @t147 @t219 @t218)) % 0.38/0.61 (define @t221 () (or @t219 @t218)) % 0.38/0.61 (define @t222 () (_ tptp.p @t17)) % 0.38/0.61 (define @t223 () (_ tptp.q @t17)) % 0.38/0.61 (define @t224 () (lambda @t172 (or @t223 @t222))) % 0.38/0.61 (define @t225 () (_ @t224 @t38)) % 0.38/0.61 (define @t226 () (or @t147 @t225)) % 0.38/0.61 (define @t227 () (forall @t41 @t226)) % 0.38/0.61 (define @t228 () (lambda @t36 @t227)) % 0.38/0.61 (define @t229 () (not @t223)) % 0.38/0.61 (define @t230 () (lambda @t36 (not (_ tptp.q @t4)))) % 0.38/0.61 (define @t231 () (_ @t230 @t17)) % 0.38/0.61 (define @t232 () (not @t231)) % 0.38/0.61 (define @t233 () (or @t232 @t188)) % 0.38/0.61 (define @t234 () (lambda @t191 @t233)) % 0.38/0.61 (define @t235 () (lambda @t21 @t208)) % 0.38/0.61 (define @t236 () (_ @t13 tptp.q)) % 0.38/0.61 (define @t237 () (lambda @t36 @t149)) % 0.38/0.61 (define @t238 () (_ @t237 @t17)) % 0.38/0.61 (define @t239 () (not @t238)) % 0.38/0.61 (define @t240 () (or @t239 @t189)) % 0.38/0.61 (define @t241 () (not @t240)) % 0.38/0.61 (define @t242 () (lambda @t191 @t241)) % 0.38/0.61 (define @t243 () (not (or @t207 @t189))) % 0.38/0.61 (define @t244 () (lambda @t21 @t243)) % 0.38/0.61 (define @t245 () (not @t219)) % 0.38/0.61 (define @t246 () (or @t147 @t245 @t218)) % 0.38/0.61 (define @t247 () (or @t245 @t218)) % 0.38/0.61 (define @t248 () (lambda @t172 (or @t229 @t222))) % 0.38/0.61 (define @t249 () (_ @t248 @t38)) % 0.38/0.61 (define @t250 () (or @t147 @t249)) % 0.38/0.61 (define @t251 () (forall @t41 @t250)) % 0.38/0.61 (define @t252 () (lambda @t36 @t251)) % 0.38/0.61 (define @t253 () (lambda @t191 (or @t229 @t188))) % 0.38/0.61 (define @t254 () (_ @t235 tptp.q)) % 0.38/0.61 (define @t255 () (or @t11 @t15)) % 0.38/0.61 (define @t256 () (lambda @t36 @t255)) % 0.38/0.61 (define @t257 () (@list @t14 @t4)) % 0.38/0.61 (define @t258 () (lambda @t257 @t255)) % 0.38/0.61 (define @t259 () (lambda @t36 @t11)) % 0.38/0.61 (define @t260 () (_ @t259 @t4)) % 0.38/0.61 (define @t261 () (or @t260 @t15)) % 0.38/0.61 (define @t262 () (lambda @t257 @t261)) % 0.38/0.61 (define @t263 () (not @t15)) % 0.38/0.61 (define @t264 () (or @t11 @t263)) % 0.38/0.61 (define @t265 () (lambda @t36 @t264)) % 0.38/0.61 (define @t266 () (_ @t265 @t4)) % 0.38/0.61 (define @t267 () (not @t266)) % 0.38/0.61 (define @t268 () (lambda @t36 @t267)) % 0.38/0.61 (define @t269 () (lambda @t36 @t263)) % 0.38/0.61 (define @t270 () (_ @t269 @t4)) % 0.38/0.61 (define @t271 () (or @t11 @t270)) % 0.38/0.61 (define @t272 () (lambda @t36 @t271)) % 0.38/0.61 (define @t273 () (lambda @t172 @t206)) % 0.38/0.61 (define @t274 () (_ @t273 @t17)) % 0.38/0.61 (define @t275 () (not @t274)) % 0.38/0.61 (define @t276 () (or @t209 @t275)) % 0.38/0.61 (define @t277 () (not @t276)) % 0.38/0.61 (define @t278 () (lambda @t172 @t277)) % 0.38/0.61 (define @t279 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.38/0.61 (define @t280 () (not (_ @t279 @t17))) % 0.38/0.61 (define @t281 () (@list @t279 @t17)) % 0.38/0.61 (define @t282 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.38/0.61 (define @t283 () (_ @t282 @t17)) % 0.38/0.61 (define @t284 () (lambda (@list @t282 @t17) (or @t189 @t283))) % 0.38/0.61 (define @t285 () (@list @t14)) % 0.38/0.61 (define @t286 () (lambda @t172 @t208)) % 0.38/0.61 (define @t287 () (_ @t286 @t17)) % 0.38/0.61 (define @t288 () (not @t287)) % 0.38/0.61 (define @t289 () (or @t288 @t280)) % 0.38/0.61 (define @t290 () (not @t289)) % 0.38/0.61 (define @t291 () (lambda @t281 @t290)) % 0.38/0.61 (define @t292 () (lambda @t191 @t208)) % 0.38/0.61 (define @t293 () (not @t124)) % 0.38/0.61 (define @t294 () (@quantifiers_skolemize @t124 2)) % 0.38/0.61 (define @t295 () (tptp.p @t294)) % 0.38/0.61 (define @t296 () (@quantifiers_skolemize @t124 0)) % 0.38/0.61 (define @t297 () (tptp.rel_k @t296 @t294)) % 0.38/0.61 (define @t298 () (not @t297)) % 0.38/0.61 (define @t299 () (or @t298 (tptp.q @t294) @t295)) % 0.38/0.61 (define @t300 () (@quantifiers_skolemize @t124 1)) % 0.38/0.61 (define @t301 () (tptp.p @t300)) % 0.38/0.61 (define @t302 () (tptp.rel_k @t296 @t300)) % 0.38/0.61 (define @t303 () (not @t302)) % 0.38/0.61 (define @t304 () (or @t303 (not (tptp.q @t300)) @t301)) % 0.38/0.61 (define @t305 () (and @t304 @t299)) % 0.38/0.61 (define @t306 () (forall @t41 (or (not (tptp.rel_k @t296 @t38)) @t83))) % 0.38/0.61 (define @t307 () (not @t306)) % 0.38/0.61 (define @t308 () (or @t307 @t305)) % 0.38/0.61 (define @t309 () (not @t308)) % 0.38/0.61 (define @t310 () (@list true)) % 0.38/0.61 (define @t311 () (@list @t308)) % 0.38/0.61 (define @t312 () (or @t303 @t301)) % 0.38/0.61 (define @t313 () (@list @t306)) % 0.38/0.61 (define @t314 () (or @t298 @t295)) % 0.38/0.61 (define @t315 () (@list @t304)) % 0.38/0.61 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.61 (assume @p2 @t1) % 0.38/0.61 (assume @p3 true) % 0.38/0.61 (step @p4 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.38/0.61 (step @p5 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.38/0.61 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.38/0.61 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.38/0.61 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.38/0.61 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.38/0.61 (step @p10 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.38/0.61 (step @p11 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.38/0.61 (step @p12 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.38/0.61 (step @p13 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.38/0.61 (step @p14 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.38/0.61 (step @p15 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.38/0.61 (step @p16 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.38/0.61 (step @p17 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.38/0.61 (step @p18 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.38/0.61 (step @p19 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.38/0.61 (step @p20 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.38/0.61 (step @p21 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.38/0.61 (step @p22 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.38/0.61 (step @p23 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.38/0.61 (step @p24 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.38/0.61 (step @p25 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.38/0.61 (step @p26 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.38/0.61 (step @p27 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.38/0.61 (step @p28 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.38/0.61 (step @p29 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.38/0.61 (step @p30 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.38/0.61 (step @p31 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.38/0.61 (step @p32 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.38/0.61 (step @p33 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.38/0.61 (step @p34 (= tptp.mbox_k @t81) :rule refl :args (@t81)) % 0.38/0.61 (step @p35 (= tptp.mdia_k @t82) :rule refl :args (@t82)) % 0.38/0.61 (step @p36 :rule bool-double-not-elim :args (@t98)) % 0.38/0.61 (step @p37 :rule refl :args (@t106)) % 0.38/0.61 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t106 (not @t105)))) % 0.38/0.61 (step @p39 :rule cnf_or_neg :args (@t106 0)) % 0.38/0.61 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.38/0.61 (step @p41 :rule reordering :premises (@p40) :args ((or @t98 @t106))) % 0.38/0.61 (step @p42 :rule bool-double-not-elim :args (@t103)) % 0.38/0.61 (step @p43 :rule nary_cong :premises (@p37 @p42) :args ((or @t106 (not @t104)))) % 0.38/0.61 (step @p44 :rule cnf_or_neg :args (@t106 1)) % 0.38/0.61 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.38/0.61 (step @p46 :rule reordering :premises (@p45) :args ((or @t103 @t106))) % 0.38/0.61 (step @p47 :rule bool-double-not-elim :args (@t101)) % 0.38/0.61 (step @p48 :rule nary_cong :premises (@p37 @p47) :args ((or @t106 (not @t102)))) % 0.38/0.61 (step @p49 :rule cnf_or_neg :args (@t106 2)) % 0.38/0.61 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.38/0.61 (step @p51 :rule reordering :premises (@p50) :args ((or @t101 @t106))) % 0.38/0.61 (step @p52 :rule cnf_or_neg :args (@t106 3)) % 0.38/0.61 (assume-push @p456 @t98) % 0.38/0.61 (step @p54 :rule instantiate :premises (@p456) :args (@t107)) % 0.38/0.61 (step-pop @p457 :rule scope :premises (@p54)) % 0.38/0.61 (step @p55 :rule process_scope :premises (@p457) :args (@t110)) % 0.38/0.61 (step @p57 :rule implies_elim :premises (@p55)) % 0.38/0.61 (assume-push @p458 @t103) % 0.38/0.61 (step @p59 :rule instantiate :premises (@p458) :args (@t107)) % 0.38/0.61 (step-pop @p459 :rule scope :premises (@p59)) % 0.38/0.61 (step @p60 :rule process_scope :premises (@p459) :args (@t111)) % 0.38/0.61 (step @p62 :rule implies_elim :premises (@p60)) % 0.38/0.61 (step @p63 :rule cnf_or_pos :args (@t110)) % 0.38/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or @t102 @t100 @t109 (not @t110)))) % 0.38/0.61 (step @p65 :rule cnf_or_pos :args (@t111)) % 0.38/0.61 (step @p66 :rule reordering :premises (@p65) :args ((or @t102 @t100 @t108 (not @t111)))) % 0.38/0.61 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p62 @p57 @p52 @p51 @p46 @p41) :args (@t106 (@list true false false true false false false) (@list @t108 @t111 @t110 @t100 @t101 @t103 @t98))) % 0.38/0.61 (step @p68 :rule refl :args (@t112)) % 0.38/0.61 (step @p69 :rule bool-double-not-elim :args (@t95)) % 0.38/0.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t113) @t112))) % 0.38/0.61 (assume-push @p460 @t113) % 0.38/0.61 (step @p72 :rule skolemize :premises (@p460)) % 0.38/0.61 (step-pop @p461 :rule scope :premises (@p72)) % 0.38/0.61 (step @p73 :rule process_scope :premises (@p461) :args (@t112)) % 0.38/0.61 (step @p75 :rule implies_elim :premises (@p73)) % 0.38/0.61 (step @p76 :rule eq_resolve :premises (@p75 @p70)) % 0.38/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p67) :args (@t95 @t114 (@list @t106))) % 0.38/0.61 (step @p78 :rule quant-merge-prenex :args ((= (forall @t127 @t126) @t124))) % 0.38/0.61 (step @p79 :rule alpha_equiv :args (@t128 (@list @t115) @t129)) % 0.38/0.61 (step @p80 :rule quant-unused-vars :args ((= @t130 @t128))) % 0.38/0.61 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.61 (step @p82 :rule alpha_equiv :args (@t131 (@list @t118) @t129)) % 0.38/0.61 (step @p83 :rule quant-unused-vars :args ((= @t132 @t131))) % 0.38/0.61 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.61 (step @p85 :rule nary_cong :premises (@p84 @p81) :args (@t133)) % 0.38/0.61 (step @p86 :rule quant-miniscope-and :args ((= @t134 @t133))) % 0.38/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.61 (step @p88 :rule refl :args (@t122)) % 0.38/0.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t135)) % 0.38/0.61 (step @p90 :rule quant-miniscope-or :args ((= @t126 @t135))) % 0.38/0.61 (step @p91 :rule trans :premises (@p90 @p89)) % 0.38/0.61 (step @p92 :rule symm :premises (@p91)) % 0.38/0.61 (step @p93 :rule cong :premises (@p92) :args (@t136)) % 0.38/0.61 (step @p94 :rule trans :premises (@p93 @p78)) % 0.38/0.61 (step @p95 :rule aci_norm :args ((= @t138 @t93))) % 0.38/0.61 (step @p96 :rule cong :premises (@p95) :args (@t139)) % 0.38/0.61 (step @p97 :rule quant-merge-prenex :args ((= (forall @t142 @t141) @t139))) % 0.38/0.61 (step @p98 :rule refl :args (@t91)) % 0.38/0.61 (step @p99 :rule refl :args (@t92)) % 0.38/0.61 (step @p100 :rule alpha_equiv :args (@t143 (@list @t86) @t129)) % 0.38/0.61 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args (@t144)) % 0.38/0.61 (step @p102 :rule quant-miniscope-or :args ((= @t141 @t144))) % 0.38/0.61 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.61 (step @p104 :rule symm :premises (@p103)) % 0.38/0.61 (step @p105 :rule cong :premises (@p104) :args (@t145)) % 0.38/0.61 (step @p106 :rule trans :premises (@p105 @p97)) % 0.38/0.61 (step @p107 :rule trans :premises (@p106 @p96)) % 0.38/0.61 (step @p108 :rule nary_cong :premises (@p107 @p94) :args ((and @t145 @t136))) % 0.38/0.61 (step @p109 :rule alpha_equiv :args (@t153 @t154 (@list @t116))) % 0.38/0.61 (step @p110 :rule alpha_equiv :args (@t158 @t154 (@list @t88))) % 0.38/0.61 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t159)) % 0.38/0.61 (step @p112 :rule quant-miniscope-and :args ((= (forall @t36 (and @t157 @t152)) @t159))) % 0.38/0.61 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.61 (step @p114 :rule trans :premises (@p113 @p108)) % 0.38/0.61 (step @p115 :rule bool-double-not-elim :args (@t148)) % 0.38/0.61 (step @p116 :rule bool-double-not-elim :args (@t149)) % 0.38/0.61 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((and (not @t156) (not @t155)))) % 0.38/0.61 (step @p118 :rule bool-or-de-morgan :args (@t156 @t155 false)) % 0.38/0.61 (step @p119 :rule trans :premises (@p118 @p117)) % 0.38/0.61 (step @p120 :rule refl :args (@t151)) % 0.38/0.61 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t160)) % 0.38/0.61 (step @p122 :rule refl :args (@t157)) % 0.38/0.61 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((and @t157 @t160))) % 0.38/0.61 (step @p124 :rule bool-double-not-elim :args (@t160)) % 0.38/0.61 (step @p125 :rule bool-double-not-elim :args (@t157)) % 0.38/0.61 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((and (not @t162) (not @t161)))) % 0.38/0.61 (step @p127 :rule bool-or-de-morgan :args (@t162 @t161 false)) % 0.38/0.61 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.61 (step @p129 :rule trans :premises (@p128 @p123)) % 0.38/0.61 (step @p130 :rule cong :premises (@p129) :args ((forall @t36 @t163))) % 0.38/0.61 (step @p131 :rule trans :premises (@p130 @p114)) % 0.38/0.61 (step @p132 :rule beta-reduce :args ((= @t174 @t163))) % 0.38/0.61 (step @p133 :rule cong :premises (@p132) :args (@t175)) % 0.38/0.61 (step @p134 :rule trans :premises (@p133 @p131)) % 0.38/0.61 (step @p135 :rule beta-reduce :args ((= (_ @t177 @t173) @t175))) % 0.38/0.61 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.61 (step @p137 :rule refl :args (@t170)) % 0.38/0.61 (step @p138 :rule beta-reduce :args ((= @t179 @t171))) % 0.38/0.61 (step @p139 :rule cong :premises (@p138) :args (@t180)) % 0.38/0.61 (step @p140 :rule nary_cong :premises (@p139 @p137) :args (@t181)) % 0.38/0.61 (step @p141 :rule cong :premises (@p140) :args (@t182)) % 0.38/0.61 (step @p142 :rule refl :args (@t166)) % 0.38/0.61 (step @p143 :rule refl :args (@t168)) % 0.38/0.61 (step @p144 :rule nary_cong :premises (@p138 @p143 @p142) :args (@t183)) % 0.38/0.61 (step @p145 :rule cong :premises (@p144) :args (@t184)) % 0.38/0.61 (step @p146 :rule nary_cong :premises (@p145 @p141) :args (@t185)) % 0.38/0.61 (step @p147 :rule cong :premises (@p146) :args (@t186)) % 0.38/0.61 (step @p148 :rule cong :premises (@p147) :args (@t187)) % 0.38/0.61 (step @p149 :rule beta-reduce :args ((= (_ (lambda @t191 (not (or (not @t190) (not (or @t189 @t170))))) @t178) @t187))) % 0.38/0.61 (step @p150 :rule trans :premises (@p149 @p148)) % 0.38/0.61 (step @p151 :rule beta-reduce :args ((= @t194 @t178))) % 0.38/0.61 (step @p152 :rule beta-reduce :args ((= @t196 @t170))) % 0.38/0.61 (step @p153 :rule refl :args (@t189)) % 0.38/0.61 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t197)) % 0.38/0.61 (step @p155 :rule cong :premises (@p154) :args (@t198)) % 0.38/0.61 (step @p156 :rule aci_norm :args ((= (or @t169 @t188) @t190))) % 0.38/0.61 (step @p157 :rule refl :args (@t188)) % 0.38/0.61 (step @p158 :rule bool-double-not-elim :args (@t169)) % 0.38/0.61 (step @p159 :rule cong :premises (@p152) :args (@t199)) % 0.38/0.61 (step @p160 :rule trans :premises (@p159 @p158)) % 0.38/0.61 (step @p161 :rule nary_cong :premises (@p160 @p157) :args (@t200)) % 0.38/0.61 (step @p162 :rule trans :premises (@p161 @p156)) % 0.38/0.61 (step @p163 :rule cong :premises (@p162) :args (@t201)) % 0.38/0.61 (step @p164 :rule nary_cong :premises (@p163 @p155) :args (@t202)) % 0.38/0.61 (step @p165 :rule cong :premises (@p164) :args (@t203)) % 0.38/0.61 (step @p166 :rule cong :premises (@p165) :args (@t204)) % 0.38/0.61 (step @p167 :rule beta-reduce :args ((= (_ @t211 @t195) @t204))) % 0.38/0.61 (step @p168 :rule trans :premises (@p167 @p166)) % 0.38/0.61 (step @p169 :rule beta-reduce :args ((= @t213 @t165))) % 0.38/0.61 (step @p170 :rule cong :premises (@p169) :args (@t214)) % 0.38/0.62 (step @p171 :rule nary_cong :premises (@p143 @p170) :args (@t215)) % 0.38/0.62 (step @p172 :rule cong :premises (@p171) :args (@t216)) % 0.38/0.62 (step @p173 :rule cong :premises (@p172) :args (@t217)) % 0.38/0.62 (step @p174 :rule beta-reduce :args ((= (_ (lambda @t191 (not (or @t168 @t189))) @t212) @t217))) % 0.38/0.62 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.62 (step @p176 :rule refl :args (@t83)) % 0.38/0.62 (step @p177 :rule refl :args (@t218)) % 0.38/0.62 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t218 @t83))) % 0.38/0.62 (step @p179 :rule symm :premises (@p178)) % 0.38/0.62 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.38/0.62 (step @p181 :rule refl :args (@t84)) % 0.38/0.62 (step @p182 :rule refl :args (@t219)) % 0.38/0.62 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t219 @t84))) % 0.38/0.62 (step @p184 :rule symm :premises (@p183)) % 0.38/0.62 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.38/0.62 (step @p186 :rule refl :args (@t147)) % 0.38/0.62 (step @p187 :rule nary_cong :premises (@p186 @p185 @p180) :args (@t220)) % 0.38/0.62 (step @p188 :rule cong :premises (@p187) :args ((forall @t41 @t220))) % 0.38/0.62 (step @p189 :rule aci_norm :args ((= (or @t147 @t221) @t220))) % 0.38/0.62 (step @p190 :rule beta-reduce :args ((= @t225 @t221))) % 0.38/0.62 (step @p191 :rule refl :args (@t147)) % 0.38/0.62 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t226)) % 0.38/0.62 (step @p193 :rule trans :premises (@p192 @p189)) % 0.38/0.62 (step @p194 :rule cong :premises (@p193) :args (@t227)) % 0.38/0.62 (step @p195 :rule trans :premises (@p194 @p188)) % 0.38/0.62 (step @p196 :rule cong :premises (@p195) :args (@t228)) % 0.38/0.62 (step @p197 :rule beta-reduce :args ((= (_ @t193 @t224) @t228))) % 0.38/0.62 (step @p198 :rule trans :premises (@p197 @p196)) % 0.38/0.62 (step @p199 :rule beta-reduce :args ((= (_ (lambda @t191 (or @t223 @t188)) tptp.p) @t224))) % 0.38/0.62 (step @p200 :rule refl :args (tptp.p)) % 0.38/0.62 (step @p201 :rule bool-double-not-elim :args (@t223)) % 0.38/0.62 (step @p202 :rule beta-reduce :args ((= @t231 @t229))) % 0.38/0.62 (step @p203 :rule cong :premises (@p202) :args (@t232)) % 0.38/0.62 (step @p204 :rule trans :premises (@p203 @p201)) % 0.38/0.62 (step @p205 :rule nary_cong :premises (@p204 @p157) :args (@t233)) % 0.38/0.62 (step @p206 :rule cong :premises (@p205) :args (@t234)) % 0.38/0.62 (step @p207 :rule beta-reduce :args ((= (_ @t235 @t230) @t234))) % 0.38/0.62 (step @p208 :rule trans :premises (@p207 @p206)) % 0.38/0.62 (step @p209 :rule beta-reduce :args ((= @t236 @t230))) % 0.38/0.62 (step @p210 :rule refl :args (@t235)) % 0.38/0.62 (step @p211 :rule ho_cong :premises (@p210 @p209)) % 0.38/0.62 (step @p212 :rule trans :premises (@p211 @p208)) % 0.38/0.62 (step @p213 :rule ho_cong :premises (@p212 @p200)) % 0.38/0.62 (step @p214 :rule trans :premises (@p213 @p199)) % 0.38/0.62 (step @p215 :rule refl :args (@t193)) % 0.38/0.62 (step @p216 :rule ho_cong :premises (@p215 @p214)) % 0.38/0.62 (step @p217 :rule trans :premises (@p216 @p198)) % 0.38/0.62 (step @p218 :rule beta-reduce :args ((= @t238 @t167))) % 0.38/0.62 (step @p219 :rule cong :premises (@p218) :args (@t239)) % 0.38/0.62 (step @p220 :rule nary_cong :premises (@p219 @p153) :args (@t240)) % 0.38/0.62 (step @p221 :rule cong :premises (@p220) :args (@t241)) % 0.38/0.62 (step @p222 :rule cong :premises (@p221) :args (@t242)) % 0.38/0.62 (step @p223 :rule beta-reduce :args ((= (_ @t244 @t237) @t242))) % 0.38/0.62 (step @p224 :rule trans :premises (@p223 @p222)) % 0.38/0.62 (step @p225 :rule cong :premises (@p185) :args (@t245)) % 0.38/0.62 (step @p226 :rule nary_cong :premises (@p186 @p225 @p180) :args (@t246)) % 0.38/0.62 (step @p227 :rule cong :premises (@p226) :args ((forall @t41 @t246))) % 0.38/0.62 (step @p228 :rule aci_norm :args ((= (or @t147 @t247) @t246))) % 0.38/0.62 (step @p229 :rule beta-reduce :args ((= @t249 @t247))) % 0.38/0.62 (step @p230 :rule nary_cong :premises (@p191 @p229) :args (@t250)) % 0.38/0.62 (step @p231 :rule trans :premises (@p230 @p228)) % 0.38/0.62 (step @p232 :rule cong :premises (@p231) :args (@t251)) % 0.38/0.62 (step @p233 :rule trans :premises (@p232 @p227)) % 0.38/0.62 (step @p234 :rule cong :premises (@p233) :args (@t252)) % 0.38/0.62 (step @p235 :rule beta-reduce :args ((= (_ @t193 @t248) @t252))) % 0.38/0.62 (step @p236 :rule trans :premises (@p235 @p234)) % 0.38/0.62 (step @p237 :rule beta-reduce :args ((= (_ @t253 tptp.p) @t248))) % 0.38/0.62 (step @p238 :rule beta-reduce :args ((= @t254 @t253))) % 0.38/0.62 (step @p239 :rule ho_cong :premises (@p238 @p200)) % 0.38/0.62 (step @p240 :rule trans :premises (@p239 @p237)) % 0.38/0.62 (step @p241 :rule ho_cong :premises (@p215 @p240)) % 0.38/0.62 (step @p242 :rule trans :premises (@p241 @p236)) % 0.38/0.62 (step @p243 :rule refl :args (@t244)) % 0.38/0.62 (step @p244 :rule ho_cong :premises (@p243 @p242)) % 0.38/0.62 (step @p245 :rule trans :premises (@p244 @p224)) % 0.38/0.62 (step @p246 :rule ho_cong :premises (@p245 @p217)) % 0.38/0.62 (step @p247 :rule trans :premises (@p246 @p175)) % 0.38/0.62 (step @p248 :rule refl :args (@t211)) % 0.38/0.62 (step @p249 :rule ho_cong :premises (@p248 @p247)) % 0.38/0.62 (step @p250 :rule trans :premises (@p249 @p168)) % 0.38/0.62 (step @p251 :rule ho_cong :premises (@p250 @p151)) % 0.38/0.62 (step @p252 :rule trans :premises (@p251 @p150)) % 0.38/0.62 (step @p253 :rule refl :args (@t177)) % 0.38/0.62 (step @p254 :rule ho_cong :premises (@p253 @p252)) % 0.38/0.62 (step @p255 :rule trans :premises (@p254 @p136)) % 0.38/0.62 (step @p256 :rule cong :premises (@p255) :args ((not (_ @t177 (_ (_ @t211 (_ (_ @t244 (_ @t193 (_ @t254 tptp.p))) (_ @t193 (_ (_ @t235 @t236) tptp.p)))) @t194))))) % 0.38/0.62 (step @p257 :rule refl :args (@t192)) % 0.38/0.62 (step @p258 :rule refl :args (@t39)) % 0.38/0.62 (step @p259 :rule cong :premises (@p258 @p257) :args ((= @t39 @t192))) % 0.38/0.62 (step @p260 :rule symm :premises (@p259)) % 0.38/0.62 (step @p261 :rule eq_resolve :premises (@p258 @p260)) % 0.38/0.62 (step @p262 :rule refl :args (@t146)) % 0.38/0.62 (step @p263 :rule refl :args (@t77)) % 0.38/0.62 (step @p264 :rule cong :premises (@p263 @p262) :args ((= @t77 @t146))) % 0.38/0.62 (step @p265 :rule symm :premises (@p264)) % 0.38/0.62 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.38/0.62 (step @p267 :rule cong :premises (@p266) :args (@t78)) % 0.38/0.62 (step @p268 :rule nary_cong :premises (@p267 @p261) :args (@t79)) % 0.38/0.62 (step @p269 :rule cong :premises (@p268) :args (@t80)) % 0.38/0.62 (step @p270 :rule cong :premises (@p269) :args (@t81)) % 0.38/0.62 (step @p271 :rule trans :premises (@p34 @p270)) % 0.38/0.62 (step @p272 :rule ho_cong :premises (@p271 @p200)) % 0.38/0.62 (step @p273 :rule refl :args (tptp.q)) % 0.38/0.62 (step @p274 :rule ho_cong :premises (@p6 @p273)) % 0.38/0.62 (step @p275 :rule beta-reduce :args ((= (_ @t256 @t17) @t208))) % 0.38/0.62 (step @p276 :rule refl :args (@t17)) % 0.38/0.62 (step @p277 :rule beta-reduce :args ((= (_ @t258 @t14) @t256))) % 0.38/0.62 (step @p278 :rule refl :args (@t14)) % 0.38/0.62 (step @p279 :rule refl :args (@t15)) % 0.38/0.62 (step @p280 :rule beta-reduce :args ((= @t260 @t11))) % 0.38/0.62 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t261)) % 0.38/0.62 (step @p282 :rule cong :premises (@p281) :args (@t262)) % 0.38/0.62 (step @p283 :rule beta-reduce :args ((= (_ @t16 @t259) @t262))) % 0.38/0.62 (step @p284 :rule trans :premises (@p283 @p282)) % 0.38/0.62 (step @p285 :rule beta-reduce :args ((= (_ @t13 @t9) @t259))) % 0.38/0.62 (step @p286 :rule refl :args (@t16)) % 0.38/0.62 (step @p287 :rule ho_cong :premises (@p286 @p285)) % 0.38/0.62 (step @p288 :rule trans :premises (@p287 @p284)) % 0.38/0.62 (step @p289 :rule ho_cong :premises (@p288 @p278)) % 0.38/0.62 (step @p290 :rule trans :premises (@p289 @p277)) % 0.38/0.62 (step @p291 :rule ho_cong :premises (@p290 @p276)) % 0.38/0.62 (step @p292 :rule trans :premises (@p291 @p275)) % 0.38/0.62 (step @p293 :rule refl :args (@t9)) % 0.38/0.62 (step @p294 :rule ho_cong :premises (@p6 @p293)) % 0.38/0.62 (step @p295 :rule ho_cong :premises (@p7 @p294)) % 0.38/0.62 (step @p296 :rule ho_cong :premises (@p295 @p278)) % 0.38/0.62 (step @p297 :rule ho_cong :premises (@p296 @p276)) % 0.38/0.62 (step @p298 :rule trans :premises (@p297 @p292)) % 0.38/0.62 (step @p299 :rule cong :premises (@p298) :args (@t23)) % 0.38/0.62 (step @p300 :rule trans :premises (@p9 @p299)) % 0.38/0.62 (step @p301 :rule ho_cong :premises (@p300 @p274)) % 0.38/0.62 (step @p302 :rule ho_cong :premises (@p301 @p200)) % 0.38/0.62 (step @p303 :rule ho_cong :premises (@p271 @p302)) % 0.38/0.62 (step @p304 :rule ho_cong :premises (@p300 @p273)) % 0.38/0.62 (step @p305 :rule ho_cong :premises (@p304 @p200)) % 0.38/0.62 (step @p306 :rule ho_cong :premises (@p271 @p305)) % 0.38/0.62 (step @p307 :rule beta-reduce :args ((= (_ (lambda @t36 (not @t264)) @t17) @t243))) % 0.38/0.62 (step @p308 :rule beta-reduce :args ((= @t266 @t264))) % 0.38/0.62 (step @p309 :rule cong :premises (@p308) :args (@t267)) % 0.38/0.62 (step @p310 :rule cong :premises (@p309) :args (@t268)) % 0.38/0.62 (step @p311 :rule beta-reduce :args ((= (_ @t13 @t265) @t268))) % 0.38/0.62 (step @p312 :rule trans :premises (@p311 @p310)) % 0.38/0.62 (step @p313 :rule beta-reduce :args ((= @t270 @t263))) % 0.38/0.62 (step @p314 :rule refl :args (@t11)) % 0.38/0.62 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t271)) % 0.38/0.62 (step @p316 :rule cong :premises (@p315) :args (@t272)) % 0.38/0.62 (step @p317 :rule beta-reduce :args ((= (_ @t258 @t269) @t272))) % 0.38/0.62 (step @p318 :rule trans :premises (@p317 @p316)) % 0.38/0.62 (step @p319 :rule beta-reduce :args ((= (_ @t13 @t14) @t269))) % 0.38/0.62 (step @p320 :rule ho_cong :premises (@p288 @p319)) % 0.38/0.62 (step @p321 :rule trans :premises (@p320 @p318)) % 0.38/0.62 (step @p322 :rule refl :args (@t13)) % 0.38/0.62 (step @p323 :rule ho_cong :premises (@p322 @p321)) % 0.38/0.62 (step @p324 :rule trans :premises (@p323 @p312)) % 0.38/0.62 (step @p325 :rule ho_cong :premises (@p324 @p276)) % 0.38/0.62 (step @p326 :rule trans :premises (@p325 @p307)) % 0.38/0.62 (step @p327 :rule ho_cong :premises (@p6 @p278)) % 0.38/0.62 (step @p328 :rule ho_cong :premises (@p295 @p327)) % 0.38/0.62 (step @p329 :rule ho_cong :premises (@p6 @p328)) % 0.38/0.62 (step @p330 :rule ho_cong :premises (@p329 @p276)) % 0.38/0.62 (step @p331 :rule trans :premises (@p330 @p326)) % 0.38/0.62 (step @p332 :rule cong :premises (@p331) :args (@t22)) % 0.38/0.62 (step @p333 :rule trans :premises (@p8 @p332)) % 0.38/0.62 (step @p334 :rule ho_cong :premises (@p333 @p306)) % 0.38/0.62 (step @p335 :rule ho_cong :premises (@p334 @p303)) % 0.38/0.62 (step @p336 :rule beta-reduce :args ((= (_ (lambda @t172 @t210) @t17) @t210))) % 0.38/0.62 (step @p337 :rule beta-reduce :args ((= @t274 @t206))) % 0.38/0.62 (step @p338 :rule cong :premises (@p337) :args (@t275)) % 0.38/0.62 (step @p339 :rule refl :args (@t209)) % 0.38/0.62 (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t276)) % 0.38/0.62 (step @p341 :rule cong :premises (@p340) :args (@t277)) % 0.38/0.62 (step @p342 :rule cong :premises (@p341) :args (@t278)) % 0.38/0.62 (step @p343 :rule beta-reduce :args ((= (_ (lambda @t281 (not (or @t209 @t280))) @t273) @t278))) % 0.38/0.62 (step @p344 :rule trans :premises (@p343 @p342)) % 0.38/0.62 (step @p345 :rule beta-reduce :args ((= (_ @t284 @t9) @t273))) % 0.38/0.62 (step @p346 :rule beta-reduce :args ((= (_ (lambda (@list @t9 @t282 @t17) (or @t207 @t283)) @t14) @t284))) % 0.38/0.62 (step @p347 :rule refl :args (@t14)) % 0.38/0.62 (step @p348 :rule alpha_equiv :args (@t235 @t285 (@list @t282))) % 0.38/0.62 (step @p349 :rule ho_cong :premises (@p348 @p347)) % 0.38/0.62 (step @p350 :rule trans :premises (@p349 @p346)) % 0.38/0.62 (step @p351 :rule ho_cong :premises (@p350 @p293)) % 0.38/0.62 (step @p352 :rule trans :premises (@p351 @p345)) % 0.38/0.62 (step @p353 :rule refl :args (@t280)) % 0.38/0.62 (step @p354 :rule beta-reduce :args ((= @t287 @t208))) % 0.38/0.62 (step @p355 :rule cong :premises (@p354) :args (@t288)) % 0.38/0.62 (step @p356 :rule nary_cong :premises (@p355 @p353) :args (@t289)) % 0.38/0.62 (step @p357 :rule cong :premises (@p356) :args (@t290)) % 0.38/0.62 (step @p358 :rule cong :premises (@p357) :args (@t291)) % 0.38/0.62 (step @p359 :rule beta-reduce :args ((= (_ (lambda (@list @t9 @t279 @t17) (not (or @t207 @t280))) @t286) @t291))) % 0.38/0.62 (step @p360 :rule trans :premises (@p359 @p358)) % 0.38/0.62 (step @p361 :rule refl :args (@t286)) % 0.38/0.62 (step @p362 :rule alpha_equiv :args (@t244 @t285 (@list @t279))) % 0.38/0.62 (step @p363 :rule ho_cong :premises (@p362 @p361)) % 0.38/0.62 (step @p364 :rule trans :premises (@p363 @p360)) % 0.38/0.62 (step @p365 :rule beta-reduce :args ((= (_ @t292 @t14) @t286))) % 0.38/0.62 (step @p366 :rule beta-reduce :args ((= (_ @t235 @t9) @t292))) % 0.38/0.62 (step @p367 :rule ho_cong :premises (@p366 @p278)) % 0.38/0.62 (step @p368 :rule trans :premises (@p367 @p365)) % 0.38/0.62 (step @p369 :rule ho_cong :premises (@p243 @p368)) % 0.38/0.62 (step @p370 :rule trans :premises (@p369 @p364)) % 0.38/0.62 (step @p371 :rule ho_cong :premises (@p370 @p352)) % 0.38/0.62 (step @p372 :rule trans :premises (@p371 @p344)) % 0.38/0.62 (step @p373 :rule ho_cong :premises (@p372 @p276)) % 0.38/0.62 (step @p374 :rule trans :premises (@p373 @p336)) % 0.38/0.62 (step @p375 :rule ho_cong :premises (@p300 @p278)) % 0.38/0.62 (step @p376 :rule ho_cong :premises (@p375 @p293)) % 0.38/0.62 (step @p377 :rule ho_cong :premises (@p300 @p293)) % 0.38/0.62 (step @p378 :rule ho_cong :premises (@p377 @p278)) % 0.38/0.62 (step @p379 :rule ho_cong :premises (@p333 @p378)) % 0.38/0.62 (step @p380 :rule ho_cong :premises (@p379 @p376)) % 0.38/0.62 (step @p381 :rule ho_cong :premises (@p380 @p276)) % 0.38/0.62 (step @p382 :rule trans :premises (@p381 @p374)) % 0.38/0.62 (step @p383 :rule cong :premises (@p382) :args (@t25)) % 0.38/0.62 (step @p384 :rule trans :premises (@p11 @p383)) % 0.38/0.62 (step @p385 :rule ho_cong :premises (@p384 @p335)) % 0.38/0.62 (step @p386 :rule ho_cong :premises (@p385 @p272)) % 0.38/0.62 (step @p387 :rule refl :args (@t176)) % 0.38/0.62 (step @p388 :rule refl :args (@t10)) % 0.38/0.62 (step @p389 :rule cong :premises (@p388 @p387) :args ((= @t10 @t176))) % 0.38/0.62 (step @p390 :rule symm :premises (@p389)) % 0.38/0.62 (step @p391 :rule eq_resolve :premises (@p388 @p390)) % 0.38/0.62 (step @p392 :rule cong :premises (@p391) :args (@t71)) % 0.38/0.62 (step @p393 :rule cong :premises (@p392) :args (@t73)) % 0.38/0.62 (step @p394 :rule trans :premises (@p30 @p393)) % 0.38/0.62 (step @p395 :rule ho_cong :premises (@p394 @p386)) % 0.38/0.62 (step @p396 :rule cong :premises (@p395) :args (@t1)) % 0.38/0.62 (step @p397 :rule trans :premises (@p396 @p256)) % 0.38/0.62 (step @p398 :rule eq_resolve :premises (@p2 @p397)) % 0.38/0.62 (step @p399 :rule not_and :premises (@p398)) % 0.38/0.62 (step @p400 :rule chain_m_resolution :premises (@p399 @p77) :args (@t293 @t114 (@list @t95))) % 0.38/0.62 (step @p401 :rule refl :args (@t309)) % 0.38/0.62 (step @p402 :rule bool-double-not-elim :args (@t124)) % 0.38/0.62 (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or (not @t293) @t309))) % 0.38/0.62 (assume-push @p462 @t293) % 0.38/0.62 (step @p405 :rule skolemize :premises (@p462)) % 0.38/0.62 (step-pop @p463 :rule scope :premises (@p405)) % 0.38/0.62 (step @p406 :rule process_scope :premises (@p463) :args (@t309)) % 0.38/0.62 (step @p408 :rule implies_elim :premises (@p406)) % 0.38/0.62 (step @p409 :rule eq_resolve :premises (@p408 @p403)) % 0.38/0.62 (step @p410 :rule chain_m_resolution :premises (@p409 @p400) :args (@t309 @t310 (@list @t124))) % 0.38/0.62 (step @p411 :rule bool-double-not-elim :args (@t306)) % 0.38/0.62 (step @p412 :rule refl :args (@t308)) % 0.38/0.62 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t308 (not @t307)))) % 0.38/0.62 (step @p414 :rule cnf_or_neg :args (@t308 0)) % 0.38/0.62 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.38/0.62 (step @p416 :rule reordering :premises (@p415) :args ((or @t306 @t308))) % 0.38/0.62 (step @p417 :rule chain_m_resolution :premises (@p416 @p410) :args (@t306 @t310 @t311)) % 0.38/0.62 (assume-push @p464 @t306) % 0.38/0.62 (step @p419 :rule instantiate :premises (@p464) :args ((@list @t300))) % 0.38/0.62 (step-pop @p465 :rule scope :premises (@p419)) % 0.38/0.62 (step @p420 :rule process_scope :premises (@p465) :args (@t312)) % 0.38/0.62 (step @p422 :rule implies_elim :premises (@p420)) % 0.38/0.62 (step @p423 :rule chain_m_resolution :premises (@p422 @p417) :args (@t312 @t114 @t313)) % 0.38/0.62 (step @p424 :rule bool-double-not-elim :args (@t297)) % 0.38/0.62 (step @p425 :rule refl :args (@t299)) % 0.38/0.62 (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or @t299 (not @t298)))) % 0.38/0.62 (step @p427 :rule cnf_or_neg :args (@t299 0)) % 0.38/0.62 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 0.38/0.62 (step @p429 :rule reordering :premises (@p428) :args ((or @t297 @t299))) % 0.38/0.62 (step @p430 :rule cnf_or_neg :args (@t299 2)) % 0.38/0.62 (assume-push @p466 @t306) % 0.38/0.62 (step @p432 :rule instantiate :premises (@p466) :args ((@list @t294))) % 0.38/0.62 (step-pop @p467 :rule scope :premises (@p432)) % 0.38/0.62 (step @p433 :rule process_scope :premises (@p467) :args (@t314)) % 0.38/0.62 (step @p435 :rule implies_elim :premises (@p433)) % 0.38/0.62 (step @p436 :rule chain_m_resolution :premises (@p435 @p417) :args (@t314 @t114 @t313)) % 0.38/0.62 (step @p437 :rule cnf_or_pos :args (@t314)) % 0.38/0.62 (step @p438 :rule reordering :premises (@p437) :args ((or @t298 @t295 (not @t314)))) % 0.38/0.62 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p430 @p429) :args (@t299 (@list false true false) (@list @t314 @t295 @t297))) % 0.38/0.62 (step @p440 :rule cnf_or_neg :args (@t308 1)) % 0.38/0.62 (step @p441 :rule chain_m_resolution :premises (@p440 @p410) :args ((not @t305) @t310 @t311)) % 0.38/0.62 (step @p442 :rule cnf_and_neg :args (@t305)) % 0.38/0.62 (step @p443 :rule chain_m_resolution :premises (@p442 @p441 @p439) :args ((not @t304) (@list true false) (@list @t305 @t299))) % 0.38/0.62 (step @p444 :rule bool-double-not-elim :args (@t302)) % 0.38/0.62 (step @p445 :rule refl :args (@t304)) % 0.38/0.62 (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or @t304 (not @t303)))) % 0.38/0.62 (step @p447 :rule cnf_or_neg :args (@t304 0)) % 0.38/0.62 (step @p448 :rule eq_resolve :premises (@p447 @p446)) % 0.38/0.62 (step @p449 :rule reordering :premises (@p448) :args ((or @t302 @t304))) % 0.38/0.62 (step @p450 :rule chain_m_resolution :premises (@p449 @p443) :args (@t302 @t310 @t315)) % 0.38/0.62 (step @p451 :rule cnf_or_neg :args (@t304 2)) % 0.38/0.62 (step @p452 :rule chain_m_resolution :premises (@p451 @p443) :args ((not @t301) @t310 @t315)) % 0.38/0.62 (step @p453 :rule cnf_or_pos :args (@t312)) % 0.38/0.62 (step @p454 :rule reordering :premises (@p453) :args ((or @t303 @t301 (not @t312)))) % 0.38/0.62 (step @p455 false :rule chain_m_resolution :premises (@p454 @p452 @p450 @p423) :args (false (@list true false false) (@list @t301 @t302 @t312))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------