%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO413^1 : 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 : n007.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 09:12:36 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO413^1 : 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 : n007.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 00:06:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-sort tptp.mu 0) % 0.37/0.59 (declare-const tptp.rel_k (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.q (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.59 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.59 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.59 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.59 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.59 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.59 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.59 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.59 (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))))))) % 0.37/0.59 (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))))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.59 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.59 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.59 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.59 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.59 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.59 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.59 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.59 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.59 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.59 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.59 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.59 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.59 (define tptp.mbox_k () (let ((_let_1 (@var "V" $$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)))))))) % 0.37/0.59 (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))))) % 0.37/0.59 (define @t1 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ tptp.mdia_k tptp.p)) (_ (_ tptp.mimplies (_ tptp.mbox_k tptp.q)) (_ tptp.mdia_k tptp.q)))))) % 0.37/0.59 (define @t2 () (@var "Y" tptp.mu)) % 0.37/0.59 (define @t3 () (@var "X" tptp.mu)) % 0.37/0.59 (define @t4 () (@var "W" $$unsorted)) % 0.37/0.59 (define @t5 () (lambda (@list @t3 @t2 @t4) (= @t3 @t2))) % 0.37/0.59 (define @t6 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.59 (define @t7 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.59 (define @t8 () (lambda (@list @t7 @t6 @t4) (= (_ @t7 @t4) (_ @t6 @t4)))) % 0.37/0.59 (define @t9 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.59 (define @t10 () (_ @t9 @t4)) % 0.37/0.59 (define @t11 () (not @t10)) % 0.37/0.59 (define @t12 () (@list @t9 @t4)) % 0.37/0.59 (define @t13 () (lambda @t12 @t11)) % 0.37/0.59 (define @t14 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.59 (define @t15 () (_ @t14 @t4)) % 0.37/0.59 (define @t16 () (lambda (@list @t9 @t14 @t4) (or @t10 @t15))) % 0.37/0.59 (define @t17 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.59 (define @t18 () (_ tptp.mnot @t14)) % 0.37/0.59 (define @t19 () (_ tptp.mnot @t9)) % 0.37/0.59 (define @t20 () (_ tptp.mor @t19)) % 0.37/0.59 (define @t21 () (@list @t9 @t14 @t17)) % 0.37/0.59 (define @t22 () (lambda @t21 (_ (_ tptp.mnot (_ @t20 @t18)) @t17))) % 0.37/0.59 (define @t23 () (lambda @t21 (_ (_ @t20 @t14) @t17))) % 0.37/0.59 (define @t24 () (lambda @t21 (_ (_ (_ tptp.mor @t18) @t9) @t17))) % 0.37/0.59 (define @t25 () (lambda @t21 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t9) @t14)) (_ (_ tptp.mimplies @t14) @t9)) @t17))) % 0.37/0.59 (define @t26 () (lambda @t21 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t9) @t14)) @t17))) % 0.37/0.59 (define @t27 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.59 (define @t28 () (_ @t27 @t3)) % 0.37/0.59 (define @t29 () (lambda (@list @t27 @t4) (forall (@list @t3) (_ @t28 @t4)))) % 0.37/0.59 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.59 (define @t31 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.59 (define @t32 () (_ @t31 @t30)) % 0.37/0.59 (define @t33 () (lambda (@list @t31 @t4) (forall (@list @t30) (_ @t32 @t4)))) % 0.37/0.59 (define @t34 () (lambda (@list @t27 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t3 @t17) (_ (_ tptp.mnot @t28) @t17)))) @t17))) % 0.37/0.59 (define @t35 () (lambda (@list @t31 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t30 @t17) (_ (_ tptp.mnot @t32) @t17)))) @t17))) % 0.37/0.59 (define @t36 () (@list @t4)) % 0.37/0.59 (define @t37 () (lambda @t36 true)) % 0.37/0.59 (define @t38 () (@var "V" $$unsorted)) % 0.37/0.59 (define @t39 () (_ @t9 @t38)) % 0.37/0.59 (define @t40 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.59 (define @t41 () (@list @t38)) % 0.37/0.59 (define @t42 () (lambda (@list @t40 @t9 @t4) (forall @t41 (or (not (_ (_ @t40 @t4) @t38)) @t39)))) % 0.37/0.59 (define @t43 () (lambda (@list @t40 @t9 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t40) @t19)) @t17))) % 0.37/0.59 (define @t44 () (@var "S" $$unsorted)) % 0.37/0.59 (define @t45 () (_ @t40 @t44)) % 0.37/0.59 (define @t46 () (@list @t44)) % 0.37/0.59 (define @t47 () (@list @t40)) % 0.37/0.59 (define @t48 () (lambda @t47 (forall @t46 (_ @t45 @t44)))) % 0.37/0.59 (define @t49 () (@var "T" $$unsorted)) % 0.37/0.59 (define @t50 () (_ @t40 @t49)) % 0.37/0.59 (define @t51 () (_ @t45 @t49)) % 0.37/0.59 (define @t52 () (lambda @t47 (forall (@list @t44 @t49) (=> @t51 (_ @t50 @t44))))) % 0.37/0.59 (define @t53 () (@list @t49)) % 0.37/0.59 (define @t54 () (lambda @t47 (forall @t46 (exists @t53 @t51)))) % 0.37/0.59 (define @t55 () (@var "U" $$unsorted)) % 0.37/0.59 (define @t56 () (_ @t45 @t55)) % 0.37/0.59 (define @t57 () (_ @t50 @t55)) % 0.37/0.59 (define @t58 () (@list @t44 @t49 @t55)) % 0.37/0.59 (define @t59 () (lambda @t47 (forall @t58 (=> (and @t51 @t57) @t56)))) % 0.37/0.59 (define @t60 () (and @t51 @t56)) % 0.37/0.59 (define @t61 () (lambda @t47 (forall @t58 (=> @t60 @t57)))) % 0.37/0.59 (define @t62 () (= @t49 @t55)) % 0.37/0.59 (define @t63 () (lambda @t47 (forall @t58 (=> @t60 @t62)))) % 0.37/0.59 (define @t64 () (@list @t55)) % 0.37/0.59 (define @t65 () (lambda @t47 (forall @t46 (exists @t53 (and @t51 (forall @t64 (=> @t56 @t62))))))) % 0.37/0.59 (define @t66 () (_ @t40 @t55)) % 0.37/0.59 (define @t67 () (_ @t66 @t49)) % 0.37/0.59 (define @t68 () (lambda @t47 (forall @t58 (=> @t51 (exists @t64 (and @t56 @t67)))))) % 0.37/0.59 (define @t69 () (lambda @t47 (forall @t58 (=> @t60 (or @t57 @t62 @t67))))) % 0.37/0.59 (define @t70 () (lambda @t47 (forall @t58 (=> @t60 (exists @t41 (and (_ @t50 @t38) (_ @t66 @t38))))))) % 0.37/0.59 (define @t71 () (forall @t36 @t10)) % 0.37/0.59 (define @t72 () (@list @t9)) % 0.37/0.59 (define @t73 () (lambda @t72 @t71)) % 0.37/0.59 (define @t74 () (lambda @t72 (forall @t36 @t11))) % 0.37/0.59 (define @t75 () (lambda @t72 (exists @t36 @t10))) % 0.37/0.59 (define @t76 () (lambda @t72 (exists @t36 @t11))) % 0.37/0.59 (define @t77 () (_ (_ tptp.rel_k @t4) @t38)) % 0.37/0.59 (define @t78 () (not @t77)) % 0.37/0.59 (define @t79 () (or @t78 @t39)) % 0.37/0.59 (define @t80 () (forall @t41 @t79)) % 0.37/0.59 (define @t81 () (lambda @t12 @t80)) % 0.37/0.59 (define @t82 () (@list @t9 @t17)) % 0.37/0.59 (define @t83 () (lambda @t82 (_ (_ tptp.mnot (_ tptp.mbox_k @t19)) @t17))) % 0.37/0.59 (define @t84 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 0.37/0.59 (define @t85 () (not (tptp.p @t84))) % 0.37/0.59 (define @t86 () (not (tptp.rel_k @t4 @t84))) % 0.37/0.59 (define @t87 () (tptp.q @t38)) % 0.37/0.59 (define @t88 () (not @t87)) % 0.37/0.59 (define @t89 () (tptp.rel_k @t4 @t38)) % 0.37/0.59 (define @t90 () (not @t89)) % 0.37/0.59 (define @t91 () (not (forall @t41 (or @t90 @t88)))) % 0.37/0.59 (define @t92 () (forall @t41 (or @t90 @t87))) % 0.37/0.59 (define @t93 () (not @t92)) % 0.37/0.59 (define @t94 () (or @t93 @t91 @t86 @t85)) % 0.37/0.59 (define @t95 () (or @t86 @t85)) % 0.37/0.59 (define @t96 () (or @t95 @t93 @t91)) % 0.37/0.59 (define @t97 () (@list @t4 @t84)) % 0.37/0.59 (define @t98 () (forall @t97 @t96)) % 0.37/0.59 (define @t99 () (@list @t84)) % 0.37/0.59 (define @t100 () (forall @t99 @t96)) % 0.37/0.59 (define @t101 () (forall @t99 @t95)) % 0.37/0.59 (define @t102 () (or @t101 @t93 @t91)) % 0.37/0.59 (define @t103 () (not (tptp.p @t38))) % 0.37/0.59 (define @t104 () (or (forall @t41 (or @t90 @t103)) @t93 @t91)) % 0.37/0.59 (define @t105 () (not (tptp.rel_k @t17 @t38))) % 0.37/0.59 (define @t106 () (not (forall @t41 (or @t105 @t88)))) % 0.37/0.59 (define @t107 () (forall @t41 (or @t105 @t87))) % 0.37/0.59 (define @t108 () (not @t107)) % 0.37/0.59 (define @t109 () (forall @t41 (or @t105 @t103))) % 0.37/0.59 (define @t110 () (or @t109 @t108 @t106)) % 0.37/0.59 (define @t111 () (@list @t17)) % 0.37/0.59 (define @t112 () (lambda @t111 @t110)) % 0.37/0.59 (define @t113 () (_ @t112 @t4)) % 0.37/0.59 (define @t114 () (forall @t36 @t113)) % 0.37/0.59 (define @t115 () (_ @t9 @t4)) % 0.37/0.59 (define @t116 () (lambda @t72 (forall @t36 @t115))) % 0.37/0.59 (define @t117 () (or @t108 @t106)) % 0.37/0.59 (define @t118 () (lambda @t111 @t117)) % 0.37/0.59 (define @t119 () (_ @t118 @t17)) % 0.37/0.59 (define @t120 () (or @t109 @t119)) % 0.37/0.59 (define @t121 () (lambda @t111 @t120)) % 0.37/0.59 (define @t122 () (_ @t14 @t17)) % 0.37/0.59 (define @t123 () (@list @t14 @t17)) % 0.37/0.59 (define @t124 () (lambda @t111 @t106)) % 0.37/0.59 (define @t125 () (_ @t124 @t17)) % 0.37/0.59 (define @t126 () (or @t108 @t125)) % 0.37/0.59 (define @t127 () (lambda @t111 @t126)) % 0.37/0.59 (define @t128 () (_ @t9 @t38)) % 0.37/0.59 (define @t129 () (not @t128)) % 0.37/0.59 (define @t130 () (not (forall @t41 (or @t105 @t129)))) % 0.37/0.59 (define @t131 () (lambda @t82 @t130)) % 0.37/0.59 (define @t132 () (_ @t131 tptp.q)) % 0.37/0.59 (define @t133 () (lambda @t36 @t92)) % 0.37/0.59 (define @t134 () (_ @t133 @t17)) % 0.37/0.59 (define @t135 () (not @t134)) % 0.37/0.59 (define @t136 () (or @t135 @t122)) % 0.37/0.59 (define @t137 () (lambda @t123 @t136)) % 0.37/0.59 (define @t138 () (or (not (_ @t9 @t17)) @t122)) % 0.37/0.59 (define @t139 () (lambda @t21 @t138)) % 0.37/0.59 (define @t140 () (lambda @t12 (forall @t41 (or @t90 @t128)))) % 0.37/0.59 (define @t141 () (_ @t140 tptp.q)) % 0.37/0.59 (define @t142 () (not @t109)) % 0.37/0.59 (define @t143 () (lambda @t111 @t142)) % 0.37/0.59 (define @t144 () (_ @t143 @t17)) % 0.37/0.59 (define @t145 () (not @t144)) % 0.37/0.59 (define @t146 () (or @t145 @t122)) % 0.37/0.59 (define @t147 () (lambda @t123 @t146)) % 0.37/0.59 (define @t148 () (_ @t131 tptp.p)) % 0.37/0.59 (define @t149 () (forall @t41 (or @t90 @t129))) % 0.37/0.59 (define @t150 () (lambda @t36 @t149)) % 0.37/0.59 (define @t151 () (_ @t150 @t4)) % 0.37/0.59 (define @t152 () (not @t151)) % 0.37/0.59 (define @t153 () (lambda @t36 @t152)) % 0.37/0.59 (define @t154 () (not @t39)) % 0.37/0.59 (define @t155 () (or @t90 @t154)) % 0.37/0.59 (define @t156 () (lambda @t36 @t11)) % 0.37/0.59 (define @t157 () (_ @t156 @t38)) % 0.37/0.59 (define @t158 () (or @t90 @t157)) % 0.37/0.59 (define @t159 () (forall @t41 @t158)) % 0.37/0.59 (define @t160 () (lambda @t36 @t159)) % 0.37/0.59 (define @t161 () (or @t11 @t15)) % 0.37/0.59 (define @t162 () (lambda @t36 @t161)) % 0.37/0.59 (define @t163 () (@list @t14 @t4)) % 0.37/0.59 (define @t164 () (_ @t156 @t4)) % 0.37/0.59 (define @t165 () (or @t164 @t15)) % 0.37/0.59 (define @t166 () (lambda @t163 @t165)) % 0.37/0.59 (define @t167 () (forall @t97 @t94)) % 0.37/0.59 (define @t168 () (@quantifiers_skolemize @t167 1)) % 0.37/0.59 (define @t169 () (@quantifiers_skolemize @t167 0)) % 0.37/0.59 (define @t170 () (tptp.rel_k @t169 @t168)) % 0.37/0.59 (define @t171 () (not @t170)) % 0.37/0.59 (define @t172 () (not (tptp.rel_k @t169 @t38))) % 0.37/0.59 (define @t173 () (forall @t41 (or @t172 @t88))) % 0.37/0.59 (define @t174 () (not @t173)) % 0.37/0.59 (define @t175 () (forall @t41 (or @t172 @t87))) % 0.37/0.59 (define @t176 () (not @t175)) % 0.37/0.59 (define @t177 () (or @t176 @t174 @t171 (not (tptp.p @t168)))) % 0.37/0.59 (define @t178 () (@list true)) % 0.37/0.59 (define @t179 () (@list @t177)) % 0.37/0.59 (define @t180 () (@list @t168)) % 0.37/0.59 (define @t181 () (tptp.q @t168)) % 0.37/0.59 (define @t182 () (or @t171 @t181)) % 0.37/0.59 (define @t183 () (not @t181)) % 0.37/0.59 (define @t184 () (or @t171 @t183)) % 0.37/0.59 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.59 (assume @p2 @t1) % 0.37/0.59 (assume @p3 true) % 0.37/0.59 (step @p4 (= tptp.meq_ind @t5) :rule refl :args (@t5)) % 0.37/0.59 (step @p5 (= tptp.meq_prop @t8) :rule refl :args (@t8)) % 0.37/0.59 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.37/0.59 (step @p7 (= tptp.mor @t16) :rule refl :args (@t16)) % 0.37/0.59 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.37/0.59 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.37/0.59 (step @p10 (= tptp.mimplied @t24) :rule refl :args (@t24)) % 0.37/0.59 (step @p11 (= tptp.mequiv @t25) :rule refl :args (@t25)) % 0.37/0.59 (step @p12 (= tptp.mxor @t26) :rule refl :args (@t26)) % 0.37/0.59 (step @p13 (= tptp.mforall_ind @t29) :rule refl :args (@t29)) % 0.37/0.59 (step @p14 (= tptp.mforall_prop @t33) :rule refl :args (@t33)) % 0.37/0.59 (step @p15 (= tptp.mexists_ind @t34) :rule refl :args (@t34)) % 0.37/0.59 (step @p16 (= tptp.mexists_prop @t35) :rule refl :args (@t35)) % 0.37/0.59 (step @p17 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.37/0.59 (step @p18 (= tptp.mbox @t42) :rule refl :args (@t42)) % 0.37/0.59 (step @p19 (= tptp.mdia @t43) :rule refl :args (@t43)) % 0.37/0.59 (step @p20 (= tptp.mreflexive @t48) :rule refl :args (@t48)) % 0.37/0.59 (step @p21 (= tptp.msymmetric @t52) :rule refl :args (@t52)) % 0.37/0.59 (step @p22 (= tptp.mserial @t54) :rule refl :args (@t54)) % 0.37/0.59 (step @p23 (= tptp.mtransitive @t59) :rule refl :args (@t59)) % 0.37/0.59 (step @p24 (= tptp.meuclidean @t61) :rule refl :args (@t61)) % 0.37/0.59 (step @p25 (= tptp.mpartially_functional @t63) :rule refl :args (@t63)) % 0.37/0.59 (step @p26 (= tptp.mfunctional @t65) :rule refl :args (@t65)) % 0.37/0.59 (step @p27 (= tptp.mweakly_dense @t68) :rule refl :args (@t68)) % 0.37/0.59 (step @p28 (= tptp.mweakly_connected @t69) :rule refl :args (@t69)) % 0.37/0.59 (step @p29 (= tptp.mweakly_directed @t70) :rule refl :args (@t70)) % 0.37/0.59 (step @p30 (= tptp.mvalid @t73) :rule refl :args (@t73)) % 0.37/0.59 (step @p31 (= tptp.minvalid @t74) :rule refl :args (@t74)) % 0.37/0.59 (step @p32 (= tptp.msatisfiable @t75) :rule refl :args (@t75)) % 0.37/0.59 (step @p33 (= tptp.mcountersatisfiable @t76) :rule refl :args (@t76)) % 0.37/0.59 (step @p34 (= tptp.mbox_k @t81) :rule refl :args (@t81)) % 0.37/0.59 (step @p35 (= tptp.mdia_k @t83) :rule refl :args (@t83)) % 0.37/0.59 (step @p36 :rule aci_norm :args ((= @t96 @t94))) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t98)) % 0.37/0.59 (step @p38 :rule quant-merge-prenex :args ((= (forall @t36 @t100) @t98))) % 0.37/0.59 (step @p39 :rule refl :args (@t91)) % 0.37/0.59 (step @p40 :rule refl :args (@t93)) % 0.37/0.59 (step @p41 :rule alpha_equiv :args (@t101 (@list @t84) (@list @t38))) % 0.37/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t102)) % 0.37/0.59 (step @p43 :rule quant-miniscope-or :args ((= @t100 @t102))) % 0.37/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.59 (step @p45 :rule symm :premises (@p44)) % 0.37/0.59 (step @p46 :rule cong :premises (@p45) :args ((forall @t36 @t104))) % 0.37/0.59 (step @p47 :rule trans :premises (@p46 @p38)) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p37)) % 0.37/0.59 (step @p49 :rule beta-reduce :args ((= @t113 @t104))) % 0.37/0.59 (step @p50 :rule cong :premises (@p49) :args (@t114)) % 0.37/0.59 (step @p51 :rule trans :premises (@p50 @p48)) % 0.37/0.59 (step @p52 :rule beta-reduce :args ((= (_ @t116 @t112) @t114))) % 0.37/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.59 (step @p54 :rule aci_norm :args ((= (or @t109 @t117) @t110))) % 0.37/0.59 (step @p55 :rule beta-reduce :args ((= @t119 @t117))) % 0.37/0.59 (step @p56 :rule refl :args (@t109)) % 0.37/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t120)) % 0.37/0.59 (step @p58 :rule trans :premises (@p57 @p54)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58) :args (@t121)) % 0.37/0.59 (step @p60 :rule beta-reduce :args ((= (_ (lambda @t123 (or @t109 @t122)) @t118) @t121))) % 0.37/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.59 (step @p62 :rule beta-reduce :args ((= @t125 @t106))) % 0.37/0.59 (step @p63 :rule refl :args (@t108)) % 0.37/0.59 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t126)) % 0.37/0.59 (step @p65 :rule cong :premises (@p64) :args (@t127)) % 0.37/0.59 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t123 (or @t108 @t122)) @t124) @t127))) % 0.37/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.59 (step @p68 :rule beta-reduce :args ((= @t132 @t124))) % 0.37/0.59 (step @p69 :rule refl :args (@t122)) % 0.37/0.59 (step @p70 :rule beta-reduce :args ((= @t134 @t107))) % 0.37/0.59 (step @p71 :rule cong :premises (@p70) :args (@t135)) % 0.37/0.59 (step @p72 :rule nary_cong :premises (@p71 @p69) :args (@t136)) % 0.37/0.59 (step @p73 :rule cong :premises (@p72) :args (@t137)) % 0.37/0.59 (step @p74 :rule beta-reduce :args ((= (_ @t139 @t133) @t137))) % 0.37/0.59 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.59 (step @p76 :rule beta-reduce :args ((= @t141 @t133))) % 0.37/0.59 (step @p77 :rule refl :args (@t139)) % 0.37/0.59 (step @p78 :rule ho_cong :premises (@p77 @p76)) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p75)) % 0.37/0.59 (step @p80 :rule ho_cong :premises (@p79 @p68)) % 0.37/0.59 (step @p81 :rule trans :premises (@p80 @p67)) % 0.37/0.59 (step @p82 :rule bool-double-not-elim :args (@t109)) % 0.37/0.59 (step @p83 :rule beta-reduce :args ((= @t144 @t142))) % 0.37/0.59 (step @p84 :rule cong :premises (@p83) :args (@t145)) % 0.37/0.59 (step @p85 :rule trans :premises (@p84 @p82)) % 0.37/0.59 (step @p86 :rule nary_cong :premises (@p85 @p69) :args (@t146)) % 0.37/0.59 (step @p87 :rule cong :premises (@p86) :args (@t147)) % 0.37/0.59 (step @p88 :rule beta-reduce :args ((= (_ @t139 @t143) @t147))) % 0.37/0.59 (step @p89 :rule trans :premises (@p88 @p87)) % 0.37/0.59 (step @p90 :rule beta-reduce :args ((= @t148 @t143))) % 0.37/0.59 (step @p91 :rule ho_cong :premises (@p77 @p90)) % 0.37/0.59 (step @p92 :rule trans :premises (@p91 @p89)) % 0.37/0.59 (step @p93 :rule ho_cong :premises (@p92 @p81)) % 0.37/0.59 (step @p94 :rule trans :premises (@p93 @p61)) % 0.37/0.59 (step @p95 :rule refl :args (@t116)) % 0.37/0.59 (step @p96 :rule ho_cong :premises (@p95 @p94)) % 0.37/0.59 (step @p97 :rule trans :premises (@p96 @p53)) % 0.37/0.59 (step @p98 :rule cong :premises (@p97) :args ((not (_ @t116 (_ (_ @t139 @t148) (_ (_ @t139 @t141) @t132)))))) % 0.37/0.59 (step @p99 :rule refl :args (tptp.q)) % 0.37/0.59 (step @p100 :rule beta-reduce :args ((= (_ (lambda @t36 (not @t149)) @t17) @t130))) % 0.37/0.59 (step @p101 :rule refl :args (@t17)) % 0.37/0.59 (step @p102 :rule beta-reduce :args ((= @t151 @t149))) % 0.37/0.59 (step @p103 :rule cong :premises (@p102) :args (@t152)) % 0.37/0.59 (step @p104 :rule cong :premises (@p103) :args (@t153)) % 0.37/0.59 (step @p105 :rule beta-reduce :args ((= (_ @t13 @t150) @t153))) % 0.37/0.59 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.59 (step @p107 :rule refl :args (@t128)) % 0.37/0.59 (step @p108 :rule refl :args (@t39)) % 0.37/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t39 @t128))) % 0.37/0.59 (step @p110 :rule symm :premises (@p109)) % 0.37/0.59 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 0.37/0.59 (step @p112 :rule cong :premises (@p111) :args (@t154)) % 0.37/0.59 (step @p113 :rule refl :args (@t90)) % 0.37/0.59 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t155)) % 0.37/0.59 (step @p115 :rule cong :premises (@p114) :args ((forall @t41 @t155))) % 0.37/0.59 (step @p116 :rule beta-reduce :args ((= @t157 @t154))) % 0.37/0.59 (step @p117 :rule refl :args (@t90)) % 0.37/0.59 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t158)) % 0.37/0.59 (step @p119 :rule cong :premises (@p118) :args (@t159)) % 0.37/0.59 (step @p120 :rule trans :premises (@p119 @p115)) % 0.37/0.59 (step @p121 :rule cong :premises (@p120) :args (@t160)) % 0.37/0.59 (step @p122 :rule beta-reduce :args ((= (_ @t140 @t156) @t160))) % 0.37/0.59 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.59 (step @p124 :rule beta-reduce :args ((= (_ @t13 @t9) @t156))) % 0.37/0.59 (step @p125 :rule refl :args (@t140)) % 0.37/0.59 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.37/0.59 (step @p127 :rule trans :premises (@p126 @p123)) % 0.37/0.59 (step @p128 :rule refl :args (@t13)) % 0.37/0.59 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.37/0.59 (step @p130 :rule trans :premises (@p129 @p106)) % 0.37/0.59 (step @p131 :rule ho_cong :premises (@p130 @p101)) % 0.37/0.59 (step @p132 :rule trans :premises (@p131 @p100)) % 0.37/0.59 (step @p133 :rule refl :args (@t9)) % 0.37/0.59 (step @p134 :rule ho_cong :premises (@p6 @p133)) % 0.37/0.59 (step @p135 :rule refl :args (@t89)) % 0.37/0.59 (step @p136 :rule refl :args (@t77)) % 0.37/0.59 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t77 @t89))) % 0.37/0.59 (step @p138 :rule symm :premises (@p137)) % 0.37/0.59 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.37/0.59 (step @p140 :rule cong :premises (@p139) :args (@t78)) % 0.37/0.59 (step @p141 :rule nary_cong :premises (@p140 @p111) :args (@t79)) % 0.37/0.59 (step @p142 :rule cong :premises (@p141) :args (@t80)) % 0.37/0.59 (step @p143 :rule cong :premises (@p142) :args (@t81)) % 0.37/0.59 (step @p144 :rule trans :premises (@p34 @p143)) % 0.37/0.59 (step @p145 :rule ho_cong :premises (@p144 @p134)) % 0.37/0.59 (step @p146 :rule ho_cong :premises (@p6 @p145)) % 0.37/0.59 (step @p147 :rule ho_cong :premises (@p146 @p101)) % 0.37/0.59 (step @p148 :rule trans :premises (@p147 @p132)) % 0.37/0.59 (step @p149 :rule cong :premises (@p148) :args (@t83)) % 0.37/0.59 (step @p150 :rule trans :premises (@p35 @p149)) % 0.37/0.59 (step @p151 :rule ho_cong :premises (@p150 @p99)) % 0.37/0.59 (step @p152 :rule ho_cong :premises (@p144 @p99)) % 0.37/0.59 (step @p153 :rule beta-reduce :args ((= (_ @t162 @t17) @t138))) % 0.37/0.59 (step @p154 :rule beta-reduce :args ((= (_ (lambda @t163 @t161) @t14) @t162))) % 0.37/0.59 (step @p155 :rule refl :args (@t14)) % 0.37/0.59 (step @p156 :rule refl :args (@t15)) % 0.37/0.59 (step @p157 :rule beta-reduce :args ((= @t164 @t11))) % 0.37/0.59 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t165)) % 0.37/0.59 (step @p159 :rule cong :premises (@p158) :args (@t166)) % 0.37/0.59 (step @p160 :rule beta-reduce :args ((= (_ @t16 @t156) @t166))) % 0.37/0.59 (step @p161 :rule trans :premises (@p160 @p159)) % 0.37/0.59 (step @p162 :rule refl :args (@t16)) % 0.37/0.59 (step @p163 :rule ho_cong :premises (@p162 @p124)) % 0.37/0.59 (step @p164 :rule trans :premises (@p163 @p161)) % 0.37/0.59 (step @p165 :rule ho_cong :premises (@p164 @p155)) % 0.37/0.59 (step @p166 :rule trans :premises (@p165 @p154)) % 0.37/0.59 (step @p167 :rule ho_cong :premises (@p166 @p101)) % 0.37/0.59 (step @p168 :rule trans :premises (@p167 @p153)) % 0.37/0.59 (step @p169 :rule ho_cong :premises (@p7 @p134)) % 0.37/0.59 (step @p170 :rule ho_cong :premises (@p169 @p155)) % 0.37/0.59 (step @p171 :rule ho_cong :premises (@p170 @p101)) % 0.37/0.59 (step @p172 :rule trans :premises (@p171 @p168)) % 0.37/0.59 (step @p173 :rule cong :premises (@p172) :args (@t23)) % 0.37/0.59 (step @p174 :rule trans :premises (@p9 @p173)) % 0.37/0.59 (step @p175 :rule ho_cong :premises (@p174 @p152)) % 0.37/0.59 (step @p176 :rule ho_cong :premises (@p175 @p151)) % 0.37/0.59 (step @p177 :rule refl :args (tptp.p)) % 0.37/0.59 (step @p178 :rule ho_cong :premises (@p150 @p177)) % 0.37/0.59 (step @p179 :rule ho_cong :premises (@p174 @p178)) % 0.37/0.59 (step @p180 :rule ho_cong :premises (@p179 @p176)) % 0.37/0.59 (step @p181 :rule refl :args (@t115)) % 0.37/0.59 (step @p182 :rule refl :args (@t10)) % 0.37/0.59 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t10 @t115))) % 0.37/0.59 (step @p184 :rule symm :premises (@p183)) % 0.37/0.59 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.37/0.59 (step @p186 :rule cong :premises (@p185) :args (@t71)) % 0.37/0.59 (step @p187 :rule cong :premises (@p186) :args (@t73)) % 0.37/0.59 (step @p188 :rule trans :premises (@p30 @p187)) % 0.37/0.59 (step @p189 :rule ho_cong :premises (@p188 @p180)) % 0.37/0.59 (step @p190 :rule cong :premises (@p189) :args (@t1)) % 0.37/0.59 (step @p191 :rule trans :premises (@p190 @p98)) % 0.37/0.59 (step @p192 :rule eq_resolve :premises (@p2 @p191)) % 0.37/0.59 (step @p193 :rule skolemize :premises (@p192)) % 0.37/0.59 (step @p194 :rule bool-double-not-elim :args (@t170)) % 0.37/0.59 (step @p195 :rule refl :args (@t177)) % 0.37/0.59 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t177 (not @t171)))) % 0.37/0.59 (step @p197 :rule cnf_or_neg :args (@t177 2)) % 0.37/0.59 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.37/0.59 (step @p199 :rule reordering :premises (@p198) :args ((or @t170 @t177))) % 0.37/0.59 (step @p200 :rule chain_m_resolution :premises (@p199 @p193) :args (@t170 @t178 @t179)) % 0.37/0.59 (step @p201 :rule bool-double-not-elim :args (@t173)) % 0.37/0.59 (step @p202 :rule nary_cong :premises (@p195 @p201) :args ((or @t177 (not @t174)))) % 0.37/0.59 (step @p203 :rule cnf_or_neg :args (@t177 1)) % 0.37/0.59 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.37/0.59 (step @p205 :rule reordering :premises (@p204) :args ((or @t173 @t177))) % 0.37/0.59 (step @p206 :rule chain_m_resolution :premises (@p205 @p193) :args (@t173 @t178 @t179)) % 0.37/0.59 (step @p207 :rule instantiate :premises (@p206) :args (@t180)) % 0.37/0.59 (step @p208 :rule bool-double-not-elim :args (@t175)) % 0.37/0.59 (step @p209 :rule nary_cong :premises (@p195 @p208) :args ((or @t177 (not @t176)))) % 0.37/0.59 (step @p210 :rule cnf_or_neg :args (@t177 0)) % 0.37/0.59 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.37/0.59 (step @p212 :rule reordering :premises (@p211) :args ((or @t175 @t177))) % 0.37/0.59 (step @p213 :rule chain_m_resolution :premises (@p212 @p193) :args (@t175 @t178 @t179)) % 0.37/0.59 (step @p214 :rule instantiate :premises (@p213) :args (@t180)) % 0.37/0.59 (step @p215 :rule cnf_or_pos :args (@t182)) % 0.37/0.59 (step @p216 :rule reordering :premises (@p215) :args ((or @t171 @t181 (not @t182)))) % 0.37/0.59 (step @p217 :rule chain_m_resolution :premises (@p216 @p200 @p214) :args (@t181 (@list false false) (@list @t170 @t182))) % 0.37/0.59 (step @p218 :rule cnf_or_pos :args (@t184)) % 0.37/0.59 (step @p219 :rule reordering :premises (@p218) :args ((or @t171 @t183 (not @t184)))) % 0.37/0.59 (step @p220 false :rule chain_m_resolution :premises (@p219 @p217 @p207 @p200) :args (false (@list false false false) (@list @t181 @t184 @t170))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------