%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO394^1 : 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 09:12:34 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO394^1 : 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 % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:06:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-sort tptp.mu 0) % 0.38/0.59 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.59 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.59 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.59 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.59 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.59 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.59 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.59 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.59 (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))))))) % 0.38/0.59 (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))))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.59 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.59 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.59 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.59 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.59 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.59 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.59 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.38/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.59 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.59 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.59 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.59 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.59 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.59 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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)))))))) % 0.38/0.59 (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))))) % 0.38/0.59 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mdia_k (_ (_ tptp.mand tptp.p) tptp.q))) (_ (_ tptp.mand (_ tptp.mdia_k tptp.p)) (_ tptp.mdia_k tptp.q)))))) % 0.38/0.59 (define @t2 () (@var "Y" tptp.mu)) % 0.38/0.59 (define @t3 () (@var "X" tptp.mu)) % 0.38/0.59 (define @t4 () (@var "W" $$unsorted)) % 0.38/0.59 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.38/0.59 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.59 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.59 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.38/0.59 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t10 () (_ @t9 @t4)) % 0.38/0.59 (define @t11 () (not @t10)) % 0.38/0.59 (define @t12 () (@list @t9 @t4)) % 0.38/0.59 (define @t13 () (lambda @t12 @t11)) % 0.38/0.59 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t15 () (_ @t14 @t4)) % 0.38/0.59 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.38/0.59 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.59 (define @t18 () (_ tptp.mnot @t14)) % 0.38/0.59 (define @t19 () (_ tptp.mnot @t9)) % 0.38/0.59 (define @t20 () (_ tptp.mor @t19)) % 0.38/0.59 (define @t21 () (@list @t9 @t14 @t17)) % 0.38/0.59 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.38/0.59 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.38/0.59 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.38/0.59 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.38/0.59 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.38/0.59 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.59 (define @t28 () (_ @t27 @t3)) % 0.38/0.59 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.38/0.59 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.59 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.59 (define @t32 () (_ @t31 @t30)) % 0.38/0.59 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.38/0.59 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.38/0.59 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.38/0.59 (define @t36 () (@list @t4)) % 0.38/0.59 (define @t37 () (lambda @t36 true)) % 0.38/0.59 (define @t38 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t39 () (_ @t9 @t38)) % 0.38/0.59 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t41 () (@list @t38)) % 0.38/0.59 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.38/0.59 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.38/0.59 (define @t44 () (@var "S" $$unsorted)) % 0.38/0.59 (define @t45 () (_ @t40 @t44)) % 0.38/0.59 (define @t46 () (@list @t44)) % 0.38/0.59 (define @t47 () (@list @t40)) % 0.38/0.59 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.38/0.59 (define @t49 () (@var "T" $$unsorted)) % 0.38/0.59 (define @t50 () (_ @t40 @t49)) % 0.38/0.59 (define @t51 () (_ @t45 @t49)) % 0.38/0.59 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.38/0.59 (define @t53 () (@list @t49)) % 0.38/0.59 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.38/0.59 (define @t55 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t56 () (_ @t45 @t55)) % 0.38/0.59 (define @t57 () (_ @t50 @t55)) % 0.38/0.59 (define @t58 () (@list @t44 @t49 @t55)) % 0.38/0.59 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.38/0.59 (define @t60 () (and @t51 @t56)) % 0.38/0.59 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.38/0.59 (define @t62 () (= @t49 @t55)) % 0.38/0.59 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.38/0.59 (define @t64 () (@list @t55)) % 0.38/0.59 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.38/0.59 (define @t66 () (_ @t40 @t55)) % 0.38/0.59 (define @t67 () (_ @t66 @t49)) % 0.38/0.59 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.38/0.59 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.38/0.59 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.38/0.59 (define @t71 () (forall @t36 @t10)) % 0.38/0.59 (define @t72 () (@list @t9)) % 0.38/0.59 (define @t73 () (lambda @t72 @t71)) % 0.38/0.59 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.38/0.59 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.38/0.59 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.38/0.59 (define @t77 () (_ (_ tptp.rel_k @t4) @t38)) % 0.38/0.59 (define @t78 () (not @t77)) % 0.38/0.59 (define @t79 () (or @t78 @t39)) % 0.38/0.59 (define @t80 () (forall @t41 @t79)) % 0.38/0.59 (define @t81 () (lambda @t12 @t80)) % 0.38/0.59 (define @t82 () (@list @t9 @t17)) % 0.38/0.59 (define @t83 () (lambda @t82 (_ (_ tptp.mnot (_ tptp.mbox_k @t19)) @t17))) % 0.38/0.59 (define @t84 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 0.38/0.59 (define @t85 () (not (tptp.q @t84))) % 0.38/0.59 (define @t86 () (not (tptp.p @t84))) % 0.38/0.59 (define @t87 () (not (tptp.rel_k @t4 @t84))) % 0.38/0.59 (define @t88 () (tptp.q @t38)) % 0.38/0.59 (define @t89 () (not @t88)) % 0.38/0.59 (define @t90 () (tptp.rel_k @t4 @t38)) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (forall @t41 (or @t91 @t89))) % 0.38/0.59 (define @t93 () (tptp.p @t38)) % 0.38/0.59 (define @t94 () (not @t93)) % 0.38/0.59 (define @t95 () (forall @t41 (or @t91 @t94))) % 0.38/0.59 (define @t96 () (and (not @t95) (not @t92))) % 0.38/0.59 (define @t97 () (or @t96 @t87 @t86 @t85)) % 0.38/0.59 (define @t98 () (or @t87 @t86 @t85)) % 0.38/0.59 (define @t99 () (or @t98 @t96)) % 0.38/0.59 (define @t100 () (@list @t4 @t84)) % 0.38/0.59 (define @t101 () (forall @t100 @t99)) % 0.38/0.59 (define @t102 () (@list @t84)) % 0.38/0.59 (define @t103 () (forall @t102 @t99)) % 0.38/0.59 (define @t104 () (forall @t102 @t98)) % 0.38/0.59 (define @t105 () (or @t104 @t96)) % 0.38/0.59 (define @t106 () (forall @t41 (or @t91 @t94 @t89))) % 0.38/0.59 (define @t107 () (or @t106 (not (or @t95 @t92)))) % 0.38/0.59 (define @t108 () (not (tptp.rel_k @t17 @t38))) % 0.38/0.59 (define @t109 () (forall @t41 (or @t108 @t89))) % 0.38/0.59 (define @t110 () (forall @t41 (or @t108 @t94))) % 0.38/0.59 (define @t111 () (not (or @t110 @t109))) % 0.38/0.59 (define @t112 () (forall @t41 (or @t108 @t94 @t89))) % 0.38/0.59 (define @t113 () (@list @t17)) % 0.38/0.59 (define @t114 () (lambda @t113 (or @t112 @t111))) % 0.38/0.59 (define @t115 () (_ @t114 @t4)) % 0.38/0.59 (define @t116 () (forall @t36 @t115)) % 0.38/0.59 (define @t117 () (_ @t9 @t4)) % 0.38/0.59 (define @t118 () (lambda @t72 (forall @t36 @t117))) % 0.38/0.59 (define @t119 () (lambda @t113 @t111)) % 0.38/0.59 (define @t120 () (_ @t119 @t17)) % 0.38/0.59 (define @t121 () (or @t112 @t120)) % 0.38/0.59 (define @t122 () (lambda @t113 @t121)) % 0.38/0.59 (define @t123 () (_ @t14 @t17)) % 0.38/0.59 (define @t124 () (@list @t14 @t17)) % 0.38/0.59 (define @t125 () (not @t109)) % 0.38/0.59 (define @t126 () (lambda @t113 @t125)) % 0.38/0.59 (define @t127 () (_ @t126 @t17)) % 0.38/0.59 (define @t128 () (not @t127)) % 0.38/0.59 (define @t129 () (or @t110 @t128)) % 0.38/0.59 (define @t130 () (not @t129)) % 0.38/0.59 (define @t131 () (lambda @t113 @t130)) % 0.38/0.59 (define @t132 () (not @t123)) % 0.38/0.59 (define @t133 () (_ @t9 @t38)) % 0.38/0.59 (define @t134 () (not @t133)) % 0.38/0.59 (define @t135 () (not (forall @t41 (or @t108 @t134)))) % 0.38/0.59 (define @t136 () (lambda @t82 @t135)) % 0.38/0.59 (define @t137 () (_ @t136 tptp.q)) % 0.38/0.59 (define @t138 () (not @t110)) % 0.38/0.59 (define @t139 () (lambda @t113 @t138)) % 0.38/0.59 (define @t140 () (_ @t139 @t17)) % 0.38/0.59 (define @t141 () (not @t140)) % 0.38/0.59 (define @t142 () (or @t141 @t132)) % 0.38/0.59 (define @t143 () (not @t142)) % 0.38/0.59 (define @t144 () (lambda @t124 @t143)) % 0.38/0.59 (define @t145 () (not (_ @t9 @t17))) % 0.38/0.59 (define @t146 () (not (or @t145 @t132))) % 0.38/0.59 (define @t147 () (lambda @t21 @t146)) % 0.38/0.59 (define @t148 () (_ @t136 tptp.p)) % 0.38/0.59 (define @t149 () (not @t112)) % 0.38/0.59 (define @t150 () (lambda @t113 @t149)) % 0.38/0.59 (define @t151 () (_ @t150 @t17)) % 0.38/0.59 (define @t152 () (not @t151)) % 0.38/0.59 (define @t153 () (or @t152 @t123)) % 0.38/0.59 (define @t154 () (lambda @t124 @t153)) % 0.38/0.59 (define @t155 () (or @t145 @t123)) % 0.38/0.59 (define @t156 () (lambda @t21 @t155)) % 0.38/0.59 (define @t157 () (_ tptp.q @t38)) % 0.38/0.59 (define @t158 () (not @t157)) % 0.38/0.59 (define @t159 () (_ tptp.p @t38)) % 0.38/0.59 (define @t160 () (not @t159)) % 0.38/0.59 (define @t161 () (or @t108 @t160 @t158)) % 0.38/0.59 (define @t162 () (or @t160 @t158)) % 0.38/0.59 (define @t163 () (not (_ tptp.p @t17))) % 0.38/0.59 (define @t164 () (lambda @t113 (not (or @t163 (not (_ tptp.q @t17)))))) % 0.38/0.59 (define @t165 () (_ @t164 @t38)) % 0.38/0.59 (define @t166 () (not @t165)) % 0.38/0.59 (define @t167 () (or @t108 @t166)) % 0.38/0.59 (define @t168 () (forall @t41 @t167)) % 0.38/0.59 (define @t169 () (not @t168)) % 0.38/0.59 (define @t170 () (lambda @t113 @t169)) % 0.38/0.59 (define @t171 () (lambda @t124 (not (or @t163 @t132)))) % 0.38/0.59 (define @t172 () (_ @t147 tptp.p)) % 0.38/0.59 (define @t173 () (forall @t41 (or @t91 @t134))) % 0.38/0.59 (define @t174 () (lambda @t36 @t173)) % 0.38/0.59 (define @t175 () (_ @t174 @t4)) % 0.38/0.59 (define @t176 () (not @t175)) % 0.38/0.59 (define @t177 () (lambda @t36 @t176)) % 0.38/0.59 (define @t178 () (not @t39)) % 0.38/0.59 (define @t179 () (or @t91 @t178)) % 0.38/0.59 (define @t180 () (lambda @t36 @t11)) % 0.38/0.59 (define @t181 () (_ @t180 @t38)) % 0.38/0.59 (define @t182 () (or @t91 @t181)) % 0.38/0.59 (define @t183 () (forall @t41 @t182)) % 0.38/0.59 (define @t184 () (lambda @t36 @t183)) % 0.38/0.59 (define @t185 () (lambda @t12 (forall @t41 (or @t91 @t133)))) % 0.38/0.59 (define @t186 () (not @t15)) % 0.38/0.59 (define @t187 () (or @t11 @t186)) % 0.38/0.59 (define @t188 () (lambda @t36 @t187)) % 0.38/0.59 (define @t189 () (_ @t188 @t4)) % 0.38/0.59 (define @t190 () (not @t189)) % 0.38/0.59 (define @t191 () (lambda @t36 @t190)) % 0.38/0.59 (define @t192 () (lambda @t36 @t186)) % 0.38/0.59 (define @t193 () (_ @t192 @t4)) % 0.38/0.59 (define @t194 () (or @t11 @t193)) % 0.38/0.59 (define @t195 () (lambda @t36 @t194)) % 0.38/0.59 (define @t196 () (or @t11 @t15)) % 0.38/0.59 (define @t197 () (@list @t14 @t4)) % 0.38/0.59 (define @t198 () (lambda @t197 @t196)) % 0.38/0.59 (define @t199 () (_ @t180 @t4)) % 0.38/0.59 (define @t200 () (or @t199 @t15)) % 0.38/0.59 (define @t201 () (lambda @t197 @t200)) % 0.38/0.59 (define @t202 () (lambda @t36 @t196)) % 0.38/0.59 (define @t203 () (forall @t100 @t97)) % 0.38/0.59 (define @t204 () (@quantifiers_skolemize @t203 1)) % 0.38/0.59 (define @t205 () (tptp.q @t204)) % 0.38/0.59 (define @t206 () (not @t205)) % 0.38/0.59 (define @t207 () (tptp.p @t204)) % 0.38/0.59 (define @t208 () (not @t207)) % 0.38/0.59 (define @t209 () (@quantifiers_skolemize @t203 0)) % 0.38/0.59 (define @t210 () (tptp.rel_k @t209 @t204)) % 0.38/0.59 (define @t211 () (not @t210)) % 0.38/0.59 (define @t212 () (not (tptp.rel_k @t209 @t38))) % 0.38/0.59 (define @t213 () (forall @t41 (or @t212 @t89))) % 0.38/0.59 (define @t214 () (not @t213)) % 0.38/0.59 (define @t215 () (forall @t41 (or @t212 @t94))) % 0.38/0.59 (define @t216 () (not @t215)) % 0.38/0.59 (define @t217 () (and @t216 @t214)) % 0.38/0.59 (define @t218 () (or @t217 @t211 @t208 @t206)) % 0.38/0.59 (define @t219 () (@list true)) % 0.38/0.59 (define @t220 () (@list @t218)) % 0.38/0.59 (define @t221 () (or @t211 @t208)) % 0.38/0.59 (define @t222 () (not @t221)) % 0.38/0.59 (define @t223 () (@list false false)) % 0.38/0.59 (define @t224 () (@list @t204)) % 0.38/0.59 (define @t225 () (or @t211 @t206)) % 0.38/0.59 (define @t226 () (not @t225)) % 0.38/0.59 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.59 (assume @p2 @t1) % 0.38/0.59 (assume @p3 true) % 0.38/0.59 (step @p4 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.38/0.59 (step @p5 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.38/0.59 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.38/0.59 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.38/0.59 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.38/0.59 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.38/0.59 (step @p10 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.38/0.59 (step @p11 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.38/0.59 (step @p12 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.38/0.59 (step @p13 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.38/0.59 (step @p14 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.38/0.59 (step @p15 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.38/0.59 (step @p16 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.38/0.59 (step @p17 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.38/0.59 (step @p18 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.38/0.59 (step @p19 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.38/0.59 (step @p20 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.38/0.59 (step @p21 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.38/0.59 (step @p22 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.38/0.59 (step @p23 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.38/0.59 (step @p24 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.38/0.59 (step @p25 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.38/0.59 (step @p26 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.38/0.59 (step @p27 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.38/0.59 (step @p28 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.38/0.59 (step @p29 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.38/0.59 (step @p30 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.38/0.59 (step @p31 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.38/0.59 (step @p32 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.38/0.59 (step @p33 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.38/0.59 (step @p34 (= tptp.mbox_k @t81) :rule refl :args (@t81)) % 0.38/0.59 (step @p35 (= tptp.mdia_k @t83) :rule refl :args (@t83)) % 0.38/0.59 (step @p36 :rule aci_norm :args ((= @t99 @t97))) % 0.38/0.59 (step @p37 :rule cong :premises (@p36) :args (@t101)) % 0.38/0.59 (step @p38 :rule quant-merge-prenex :args ((= (forall @t36 @t103) @t101))) % 0.38/0.59 (step @p39 :rule refl :args (@t96)) % 0.38/0.59 (step @p40 :rule alpha_equiv :args (@t104 (@list @t84) (@list @t38))) % 0.38/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t105)) % 0.38/0.59 (step @p42 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.59 (step @p44 :rule symm :premises (@p43)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args ((forall @t36 (or @t106 @t96)))) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p38)) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p37)) % 0.38/0.59 (step @p48 :rule bool-or-de-morgan :args (@t95 @t92 false)) % 0.38/0.59 (step @p49 :rule refl :args (@t106)) % 0.38/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t107)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args ((forall @t36 @t107))) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p47)) % 0.38/0.59 (step @p53 :rule beta-reduce :args ((= @t115 @t107))) % 0.38/0.59 (step @p54 :rule cong :premises (@p53) :args (@t116)) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p52)) % 0.38/0.59 (step @p56 :rule beta-reduce :args ((= (_ @t118 @t114) @t116))) % 0.38/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.59 (step @p58 :rule beta-reduce :args ((= @t120 @t111))) % 0.38/0.59 (step @p59 :rule refl :args (@t112)) % 0.38/0.59 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t121)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60) :args (@t122)) % 0.38/0.59 (step @p62 :rule beta-reduce :args ((= (_ (lambda @t124 (or @t112 @t123)) @t119) @t122))) % 0.38/0.59 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.59 (step @p64 :rule bool-double-not-elim :args (@t109)) % 0.38/0.59 (step @p65 :rule beta-reduce :args ((= @t127 @t125))) % 0.38/0.59 (step @p66 :rule cong :premises (@p65) :args (@t128)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.59 (step @p68 :rule refl :args (@t110)) % 0.38/0.59 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t129)) % 0.38/0.59 (step @p70 :rule cong :premises (@p69) :args (@t130)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70) :args (@t131)) % 0.38/0.59 (step @p72 :rule beta-reduce :args ((= (_ (lambda @t124 (not (or @t110 @t132))) @t126) @t131))) % 0.38/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.59 (step @p74 :rule beta-reduce :args ((= @t137 @t126))) % 0.38/0.59 (step @p75 :rule refl :args (@t132)) % 0.38/0.59 (step @p76 :rule bool-double-not-elim :args (@t110)) % 0.38/0.59 (step @p77 :rule beta-reduce :args ((= @t140 @t138))) % 0.38/0.59 (step @p78 :rule cong :premises (@p77) :args (@t141)) % 0.38/0.59 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.59 (step @p80 :rule nary_cong :premises (@p79 @p75) :args (@t142)) % 0.38/0.59 (step @p81 :rule cong :premises (@p80) :args (@t143)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args (@t144)) % 0.38/0.59 (step @p83 :rule beta-reduce :args ((= (_ @t147 @t139) @t144))) % 0.38/0.59 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.59 (step @p85 :rule beta-reduce :args ((= @t148 @t139))) % 0.38/0.59 (step @p86 :rule refl :args (@t147)) % 0.38/0.59 (step @p87 :rule ho_cong :premises (@p86 @p85)) % 0.38/0.59 (step @p88 :rule trans :premises (@p87 @p84)) % 0.38/0.59 (step @p89 :rule ho_cong :premises (@p88 @p74)) % 0.38/0.59 (step @p90 :rule trans :premises (@p89 @p73)) % 0.38/0.59 (step @p91 :rule refl :args (@t123)) % 0.38/0.59 (step @p92 :rule bool-double-not-elim :args (@t112)) % 0.38/0.59 (step @p93 :rule beta-reduce :args ((= @t151 @t149))) % 0.38/0.59 (step @p94 :rule cong :premises (@p93) :args (@t152)) % 0.38/0.59 (step @p95 :rule trans :premises (@p94 @p92)) % 0.38/0.59 (step @p96 :rule nary_cong :premises (@p95 @p91) :args (@t153)) % 0.38/0.59 (step @p97 :rule cong :premises (@p96) :args (@t154)) % 0.38/0.59 (step @p98 :rule beta-reduce :args ((= (_ @t156 @t150) @t154))) % 0.38/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.59 (step @p100 :rule refl :args (@t88)) % 0.38/0.59 (step @p101 :rule refl :args (@t157)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t157 @t88))) % 0.38/0.59 (step @p103 :rule symm :premises (@p102)) % 0.38/0.59 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.38/0.59 (step @p105 :rule cong :premises (@p104) :args (@t158)) % 0.38/0.59 (step @p106 :rule refl :args (@t93)) % 0.38/0.59 (step @p107 :rule refl :args (@t159)) % 0.38/0.59 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t159 @t93))) % 0.38/0.59 (step @p109 :rule symm :premises (@p108)) % 0.38/0.59 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.38/0.59 (step @p111 :rule cong :premises (@p110) :args (@t160)) % 0.38/0.59 (step @p112 :rule refl :args (@t108)) % 0.38/0.59 (step @p113 :rule nary_cong :premises (@p112 @p111 @p105) :args (@t161)) % 0.38/0.59 (step @p114 :rule cong :premises (@p113) :args ((forall @t41 @t161))) % 0.38/0.59 (step @p115 :rule aci_norm :args ((= (or @t108 @t162) @t161))) % 0.38/0.59 (step @p116 :rule bool-double-not-elim :args (@t162)) % 0.38/0.59 (step @p117 :rule beta-reduce :args ((= @t165 (not @t162)))) % 0.38/0.59 (step @p118 :rule cong :premises (@p117) :args (@t166)) % 0.38/0.59 (step @p119 :rule trans :premises (@p118 @p116)) % 0.38/0.59 (step @p120 :rule refl :args (@t108)) % 0.38/0.59 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t167)) % 0.38/0.59 (step @p122 :rule trans :premises (@p121 @p115)) % 0.38/0.59 (step @p123 :rule cong :premises (@p122) :args (@t168)) % 0.38/0.59 (step @p124 :rule trans :premises (@p123 @p114)) % 0.38/0.59 (step @p125 :rule cong :premises (@p124) :args (@t169)) % 0.38/0.59 (step @p126 :rule cong :premises (@p125) :args (@t170)) % 0.38/0.59 (step @p127 :rule beta-reduce :args ((= (_ @t136 @t164) @t170))) % 0.38/0.59 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.59 (step @p129 :rule beta-reduce :args ((= (_ @t171 tptp.q) @t164))) % 0.38/0.59 (step @p130 :rule refl :args (tptp.q)) % 0.38/0.59 (step @p131 :rule beta-reduce :args ((= @t172 @t171))) % 0.38/0.59 (step @p132 :rule ho_cong :premises (@p131 @p130)) % 0.38/0.59 (step @p133 :rule trans :premises (@p132 @p129)) % 0.38/0.59 (step @p134 :rule refl :args (@t136)) % 0.38/0.59 (step @p135 :rule ho_cong :premises (@p134 @p133)) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p128)) % 0.38/0.59 (step 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:rule cong :premises (@p260) :args (@t73)) % 0.38/0.60 (step @p262 :rule trans :premises (@p30 @p261)) % 0.38/0.60 (step @p263 :rule ho_cong :premises (@p262 @p254)) % 0.38/0.60 (step @p264 :rule cong :premises (@p263) :args (@t1)) % 0.38/0.60 (step @p265 :rule trans :premises (@p264 @p145)) % 0.38/0.60 (step @p266 :rule eq_resolve :premises (@p2 @p265)) % 0.38/0.60 (step @p267 :rule skolemize :premises (@p266)) % 0.38/0.60 (step @p268 :rule cnf_or_neg :args (@t218 0)) % 0.38/0.60 (step @p269 :rule chain_m_resolution :premises (@p268 @p267) :args ((not @t217) @t219 @t220)) % 0.38/0.60 (step @p270 :rule bool-double-not-elim :args (@t207)) % 0.38/0.60 (step @p271 :rule refl :args (@t218)) % 0.38/0.60 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t218 (not @t208)))) % 0.38/0.60 (step @p273 :rule cnf_or_neg :args (@t218 2)) % 0.38/0.60 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.38/0.60 (step @p275 :rule reordering :premises (@p274) :args ((or @t207 @t218))) % 0.38/0.60 (step @p276 :rule chain_m_resolution :premises (@p275 @p267) :args (@t207 @t219 @t220)) % 0.38/0.60 (step @p277 :rule bool-double-not-elim :args (@t210)) % 0.38/0.60 (step @p278 :rule nary_cong :premises (@p271 @p277) :args ((or @t218 (not @t211)))) % 0.38/0.60 (step @p279 :rule cnf_or_neg :args (@t218 1)) % 0.38/0.60 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 0.38/0.60 (step @p281 :rule reordering :premises (@p280) :args ((or @t210 @t218))) % 0.38/0.60 (step @p282 :rule chain_m_resolution :premises (@p281 @p267) :args (@t210 @t219 @t220)) % 0.38/0.60 (step @p283 :rule cnf_or_pos :args (@t221)) % 0.38/0.60 (step @p284 :rule reordering :premises (@p283) :args ((or @t211 @t208 @t222))) % 0.38/0.60 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p276) :args (@t222 @t223 (@list @t210 @t207))) % 0.38/0.60 (assume-push @p315 @t215) % 0.38/0.60 (step @p287 :rule instantiate :premises (@p315) :args (@t224)) % 0.38/0.60 (step-pop @p316 :rule scope :premises (@p287)) % 0.38/0.60 (step @p288 :rule process_scope :premises (@p316) :args (@t221)) % 0.38/0.60 (step @p290 :rule implies_elim :premises (@p288)) % 0.38/0.60 (step @p291 :rule chain_m_resolution :premises (@p290 @p285) :args (@t216 @t219 (@list @t221))) % 0.38/0.60 (step @p292 :rule bool-double-not-elim :args (@t213)) % 0.38/0.60 (step @p293 :rule bool-double-not-elim :args (@t215)) % 0.38/0.60 (step @p294 :rule refl :args (@t217)) % 0.38/0.60 (step @p295 :rule nary_cong :premises (@p294 @p293 @p292) :args ((or @t217 (not @t216) (not @t214)))) % 0.38/0.60 (step @p296 :rule cnf_and_neg :args (@t217)) % 0.38/0.60 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 0.38/0.60 (step @p298 :rule reordering :premises (@p297) :args ((or @t215 @t213 @t217))) % 0.38/0.60 (step @p299 :rule chain_m_resolution :premises (@p298 @p291 @p269) :args (@t213 (@list true true) (@list @t215 @t217))) % 0.38/0.60 (step @p300 :rule bool-double-not-elim :args (@t205)) % 0.38/0.60 (step @p301 :rule nary_cong :premises (@p271 @p300) :args ((or @t218 (not @t206)))) % 0.38/0.60 (step @p302 :rule cnf_or_neg :args (@t218 3)) % 0.38/0.60 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 0.38/0.60 (step @p304 :rule reordering :premises (@p303) :args ((or @t205 @t218))) % 0.38/0.60 (step @p305 :rule chain_m_resolution :premises (@p304 @p267) :args (@t205 @t219 @t220)) % 0.38/0.60 (step @p306 :rule cnf_or_pos :args (@t225)) % 0.38/0.60 (step @p307 :rule reordering :premises (@p306) :args ((or @t211 @t206 @t226))) % 0.38/0.60 (step @p308 :rule chain_m_resolution :premises (@p307 @p282 @p305) :args (@t226 @t223 (@list @t210 @t205))) % 0.38/0.60 (assume-push @p317 @t213) % 0.38/0.60 (step @p310 :rule instantiate :premises (@p317) :args (@t224)) % 0.38/0.60 (step-pop @p318 :rule scope :premises (@p310)) % 0.38/0.60 (step @p311 :rule process_scope :premises (@p318) :args (@t225)) % 0.38/0.60 (step @p313 :rule implies_elim :premises (@p311)) % 0.38/0.60 (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p299) :args (false (@list true false) (@list @t225 @t213))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------