%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO443^1 : 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 : n002.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 09:12:40 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO443^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:07:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.44/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-sort tptp.mu 0) % 0.44/0.64 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.p (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.q (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.44/0.64 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.44/0.64 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.44/0.64 (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)))))) % 0.44/0.64 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.44/0.64 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.64 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.44/0.64 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.64 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.44/0.64 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.44/0.64 (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))))))) % 0.44/0.64 (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))))))) % 0.44/0.64 (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)))))) % 0.44/0.64 (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)))))) % 0.44/0.64 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.44/0.64 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.44/0.64 (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)))))) % 0.44/0.64 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.64 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.64 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.64 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.44/0.64 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.44/0.64 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.44/0.64 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.44/0.64 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.44/0.64 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.44/0.64 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.44/0.64 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.64 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.64 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.44/0.64 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.44/0.64 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.44/0.64 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.44/0.64 (define @t1 () (_ tptp.mbox_s5 tptp.q)) % 0.44/0.64 (define @t2 () (_ tptp.mnot tptp.p)) % 0.44/0.64 (define @t3 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ tptp.mbox_s5 (_ (_ tptp.mor @t2) @t1))) (_ (_ tptp.mor (_ tptp.mbox_s5 @t2)) @t1))))) % 0.44/0.64 (define @t4 () (@var "Y" tptp.mu)) % 0.44/0.64 (define @t5 () (@var "X" tptp.mu)) % 0.44/0.64 (define @t6 () (@var "W" $$unsorted)) % 0.44/0.64 (define @t7 () (lambda (@list @t5 @t4 @t6) (= @t5 @t4))) % 0.44/0.64 (define @t8 () (@var "Y" (-> $$unsorted Bool))) % 0.44/0.64 (define @t9 () (@var "X" (-> $$unsorted Bool))) % 0.44/0.64 (define @t10 () (lambda (@list @t9 @t8 @t6) (= (_ @t9 @t6) (_ @t8 @t6)))) % 0.44/0.64 (define @t11 () (@var "Phi" (-> $$unsorted Bool))) % 0.44/0.64 (define @t12 () (_ @t11 @t6)) % 0.44/0.64 (define @t13 () (not @t12)) % 0.44/0.64 (define @t14 () (@list @t11 @t6)) % 0.44/0.64 (define @t15 () (lambda @t14 @t13)) % 0.44/0.64 (define @t16 () (@var "Psi" (-> $$unsorted Bool))) % 0.44/0.64 (define @t17 () (_ @t16 @t6)) % 0.44/0.64 (define @t18 () (lambda (@list @t11 @t16 @t6) (or @t12 @t17))) % 0.44/0.64 (define @t19 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.64 (define @t20 () (_ tptp.mnot @t16)) % 0.44/0.64 (define @t21 () (_ tptp.mnot @t11)) % 0.44/0.64 (define @t22 () (_ tptp.mor @t21)) % 0.44/0.64 (define @t23 () (@list @t11 @t16 @t19)) % 0.44/0.64 (define @t24 () (lambda @t23 (_ (_ tptp.mnot (_ @t22 @t20)) @t19))) % 0.44/0.64 (define @t25 () (lambda @t23 (_ (_ @t22 @t16) @t19))) % 0.44/0.64 (define @t26 () (lambda @t23 (_ (_ (_ tptp.mor @t20) @t11) @t19))) % 0.44/0.64 (define @t27 () (lambda @t23 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t11) @t16)) (_ (_ tptp.mimplies @t16) @t11)) @t19))) % 0.44/0.64 (define @t28 () (lambda @t23 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t11) @t16)) @t19))) % 0.44/0.64 (define @t29 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.44/0.64 (define @t30 () (_ @t29 @t5)) % 0.44/0.64 (define @t31 () (lambda (@list @t29 @t6) (forall (@list @t5) (_ @t30 @t6)))) % 0.44/0.64 (define @t32 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.64 (define @t33 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.44/0.64 (define @t34 () (_ @t33 @t32)) % 0.44/0.64 (define @t35 () (lambda (@list @t33 @t6) (forall (@list @t32) (_ @t34 @t6)))) % 0.44/0.64 (define @t36 () (lambda (@list @t29 @t19) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t5 @t19) (_ (_ tptp.mnot @t30) @t19)))) @t19))) % 0.44/0.64 (define @t37 () (lambda (@list @t33 @t19) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t32 @t19) (_ (_ tptp.mnot @t34) @t19)))) @t19))) % 0.44/0.64 (define @t38 () (@list @t6)) % 0.44/0.64 (define @t39 () (lambda @t38 true)) % 0.44/0.64 (define @t40 () (@var "V" $$unsorted)) % 0.44/0.64 (define @t41 () (_ @t11 @t40)) % 0.44/0.64 (define @t42 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.64 (define @t43 () (@list @t40)) % 0.44/0.64 (define @t44 () (lambda (@list @t42 @t11 @t6) (forall @t43 (or (not (_ (_ @t42 @t6) @t40)) @t41)))) % 0.44/0.64 (define @t45 () (lambda (@list @t42 @t11 @t19) (_ (_ tptp.mnot (_ (_ tptp.mbox @t42) @t21)) @t19))) % 0.44/0.64 (define @t46 () (@var "S" $$unsorted)) % 0.44/0.64 (define @t47 () (_ @t42 @t46)) % 0.44/0.64 (define @t48 () (@list @t46)) % 0.44/0.64 (define @t49 () (@list @t42)) % 0.44/0.64 (define @t50 () (lambda @t49 (forall @t48 (_ @t47 @t46)))) % 0.44/0.64 (define @t51 () (@var "T" $$unsorted)) % 0.44/0.64 (define @t52 () (_ @t42 @t51)) % 0.44/0.64 (define @t53 () (_ @t52 @t46)) % 0.44/0.64 (define @t54 () (_ @t47 @t51)) % 0.44/0.64 (define @t55 () (@list @t46 @t51)) % 0.44/0.64 (define @t56 () (forall @t55 (=> @t54 @t53))) % 0.44/0.64 (define @t57 () (lambda @t49 @t56)) % 0.44/0.64 (define @t58 () (@list @t51)) % 0.44/0.64 (define @t59 () (lambda @t49 (forall @t48 (exists @t58 @t54)))) % 0.44/0.64 (define @t60 () (@var "U" $$unsorted)) % 0.44/0.64 (define @t61 () (_ @t47 @t60)) % 0.44/0.64 (define @t62 () (_ @t52 @t60)) % 0.44/0.64 (define @t63 () (and @t54 @t62)) % 0.44/0.64 (define @t64 () (@list @t46 @t51 @t60)) % 0.44/0.64 (define @t65 () (forall @t64 (=> @t63 @t61))) % 0.44/0.64 (define @t66 () (lambda @t49 @t65)) % 0.44/0.64 (define @t67 () (and @t54 @t61)) % 0.44/0.64 (define @t68 () (lambda @t49 (forall @t64 (=> @t67 @t62)))) % 0.44/0.64 (define @t69 () (= @t51 @t60)) % 0.44/0.64 (define @t70 () (lambda @t49 (forall @t64 (=> @t67 @t69)))) % 0.44/0.64 (define @t71 () (@list @t60)) % 0.44/0.64 (define @t72 () (lambda @t49 (forall @t48 (exists @t58 (and @t54 (forall @t71 (=> @t61 @t69))))))) % 0.44/0.64 (define @t73 () (_ @t42 @t60)) % 0.44/0.64 (define @t74 () (_ @t73 @t51)) % 0.44/0.64 (define @t75 () (lambda @t49 (forall @t64 (=> @t54 (exists @t71 (and @t61 @t74)))))) % 0.44/0.64 (define @t76 () (lambda @t49 (forall @t64 (=> @t67 (or @t62 @t69 @t74))))) % 0.44/0.64 (define @t77 () (lambda @t49 (forall @t64 (=> @t67 (exists @t43 (and (_ @t52 @t40) (_ @t73 @t40))))))) % 0.44/0.64 (define @t78 () (forall @t38 @t12)) % 0.44/0.64 (define @t79 () (@list @t11)) % 0.44/0.64 (define @t80 () (lambda @t79 @t78)) % 0.44/0.64 (define @t81 () (lambda @t79 (forall @t38 @t13))) % 0.44/0.64 (define @t82 () (lambda @t79 (exists @t38 @t12))) % 0.44/0.64 (define @t83 () (lambda @t79 (exists @t38 @t13))) % 0.44/0.64 (define @t84 () (_ (_ tptp.rel_s5 @t6) @t40)) % 0.44/0.64 (define @t85 () (not @t84)) % 0.44/0.64 (define @t86 () (or @t85 @t41)) % 0.44/0.64 (define @t87 () (forall @t43 @t86)) % 0.44/0.64 (define @t88 () (lambda @t14 @t87)) % 0.44/0.64 (define @t89 () (lambda (@list @t11 @t19) (_ (_ tptp.mnot (_ tptp.mbox_s5 @t21)) @t19))) % 0.44/0.64 (define @t90 () (not (tptp.rel_s5 @t46 @t51))) % 0.44/0.64 (define @t91 () (forall @t64 (or @t90 (not (tptp.rel_s5 @t51 @t60)) (tptp.rel_s5 @t46 @t60)))) % 0.44/0.64 (define @t92 () (_ @t42 @t46 @t60)) % 0.44/0.64 (define @t93 () (_ @t42 @t51 @t60)) % 0.44/0.64 (define @t94 () (_ @t42 @t46 @t51)) % 0.44/0.64 (define @t95 () (not @t94)) % 0.44/0.64 (define @t96 () (not @t62)) % 0.44/0.64 (define @t97 () (not @t54)) % 0.44/0.64 (define @t98 () (or @t97 @t96 @t61)) % 0.44/0.64 (define @t99 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 0.44/0.64 (define @t100 () (tptp.q @t99)) % 0.44/0.64 (define @t101 () (not (tptp.rel_s5 @t40 @t99))) % 0.44/0.64 (define @t102 () (tptp.p @t40)) % 0.44/0.64 (define @t103 () (not @t102)) % 0.44/0.64 (define @t104 () (@var "BOUND_VARIABLE_8614" $$unsorted)) % 0.44/0.64 (define @t105 () (tptp.q @t104)) % 0.44/0.64 (define @t106 () (@var "BOUND_VARIABLE_8576" $$unsorted)) % 0.44/0.64 (define @t107 () (not (tptp.rel_s5 @t106 @t104))) % 0.44/0.64 (define @t108 () (@var "BOUND_VARIABLE_8607" $$unsorted)) % 0.44/0.64 (define @t109 () (not (tptp.p @t108))) % 0.44/0.64 (define @t110 () (not (tptp.rel_s5 @t106 @t108))) % 0.44/0.64 (define @t111 () (not (tptp.rel_s5 @t106 @t40))) % 0.44/0.64 (define @t112 () (@list @t40 @t99)) % 0.44/0.64 (define @t113 () (not (forall @t112 (or @t111 @t103 @t101 @t100)))) % 0.44/0.64 (define @t114 () (or @t113 @t110 @t109 @t107 @t105)) % 0.44/0.64 (define @t115 () (@list @t106 @t108 @t104)) % 0.44/0.64 (define @t116 () (forall @t115 @t114)) % 0.44/0.64 (define @t117 () (@quantifiers_skolemize @t116 0)) % 0.44/0.64 (define @t118 () (forall @t112 (or (not (tptp.rel_s5 @t117 @t40)) @t103 @t101 @t100))) % 0.44/0.64 (define @t119 () (@quantifiers_skolemize @t116 2)) % 0.44/0.64 (define @t120 () (tptp.q @t119)) % 0.44/0.64 (define @t121 () (tptp.rel_s5 @t117 @t119)) % 0.44/0.64 (define @t122 () (not @t121)) % 0.44/0.64 (define @t123 () (@quantifiers_skolemize @t116 1)) % 0.44/0.64 (define @t124 () (tptp.p @t123)) % 0.44/0.64 (define @t125 () (not @t124)) % 0.44/0.64 (define @t126 () (tptp.rel_s5 @t117 @t123)) % 0.44/0.64 (define @t127 () (not @t126)) % 0.44/0.64 (define @t128 () (not @t118)) % 0.44/0.64 (define @t129 () (or @t128 @t127 @t125 @t122 @t120)) % 0.44/0.64 (define @t130 () (_ @t42 @t51 @t46)) % 0.44/0.64 (define @t131 () (or @t97 @t53)) % 0.44/0.64 (define @t132 () (tptp.rel_s5 @t123 @t117)) % 0.44/0.64 (define @t133 () (or @t127 @t132)) % 0.44/0.64 (define @t134 () (tptp.rel_s5 @t123 @t119)) % 0.44/0.64 (define @t135 () (not @t132)) % 0.44/0.64 (define @t136 () (or @t135 @t122 @t134)) % 0.44/0.64 (define @t137 () (not @t134)) % 0.44/0.64 (define @t138 () (or @t127 @t125 @t137 @t120)) % 0.44/0.64 (define @t139 () (not @t129)) % 0.44/0.64 (define @t140 () (not @t116)) % 0.44/0.64 (define @t141 () (@list false)) % 0.44/0.64 (define @t142 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 0.44/0.64 (define @t143 () (tptp.q @t142)) % 0.44/0.64 (define @t144 () (@var "BOUND_VARIABLE_8625" $$unsorted)) % 0.44/0.64 (define @t145 () (not (tptp.rel_s5 @t144 @t142))) % 0.44/0.64 (define @t146 () (not (tptp.p @t144))) % 0.44/0.64 (define @t147 () (@var "BOUND_VARIABLE_8590" $$unsorted)) % 0.44/0.64 (define @t148 () (not (tptp.rel_s5 @t147 @t144))) % 0.44/0.64 (define @t149 () (tptp.q @t40)) % 0.44/0.64 (define @t150 () (not (tptp.rel_s5 @t147 @t40))) % 0.44/0.64 (define @t151 () (and (not (forall @t43 (or @t150 @t103))) (not (forall @t43 (or @t150 @t149))))) % 0.44/0.64 (define @t152 () (or @t151 @t148 @t146 @t145 @t143)) % 0.44/0.64 (define @t153 () (or @t148 @t146 @t145 @t143)) % 0.44/0.64 (define @t154 () (or @t151 @t153)) % 0.44/0.64 (define @t155 () (@list @t147 @t144 @t142)) % 0.44/0.64 (define @t156 () (forall @t155 @t154)) % 0.44/0.64 (define @t157 () (@list @t144 @t142)) % 0.44/0.64 (define @t158 () (forall @t157 @t154)) % 0.44/0.64 (define @t159 () (@list @t147)) % 0.44/0.64 (define @t160 () (forall @t157 @t153)) % 0.44/0.64 (define @t161 () (or @t151 @t160)) % 0.44/0.64 (define @t162 () (forall @t159 (or @t151 (forall @t112 (or @t150 @t103 @t101 @t100))))) % 0.44/0.64 (define @t163 () (or @t107 @t105)) % 0.44/0.64 (define @t164 () (or @t110 @t109)) % 0.44/0.64 (define @t165 () (or @t113 @t164 @t163)) % 0.44/0.64 (define @t166 () (forall @t115 @t165)) % 0.44/0.64 (define @t167 () (forall (@list @t108 @t104) @t165)) % 0.44/0.64 (define @t168 () (@list @t106)) % 0.44/0.64 (define @t169 () (forall (@list @t104) @t163)) % 0.44/0.64 (define @t170 () (@list @t40)) % 0.44/0.64 (define @t171 () (forall (@list @t108) @t164)) % 0.44/0.64 (define @t172 () (or @t113 @t171 @t169)) % 0.44/0.64 (define @t173 () (forall @t168 (or @t113 (forall @t43 (or @t111 @t103)) (forall @t43 (or @t111 @t149))))) % 0.44/0.64 (define @t174 () (tptp.rel_s5 @t6 @t40)) % 0.44/0.64 (define @t175 () (not @t174)) % 0.44/0.64 (define @t176 () (or @t175 @t103 @t101 @t100)) % 0.44/0.64 (define @t177 () (forall @t112 @t176)) % 0.44/0.64 (define @t178 () (forall @t43 (or @t175 @t149))) % 0.44/0.64 (define @t179 () (forall @t43 (or @t175 @t103))) % 0.44/0.64 (define @t180 () (or (and (not @t179) (not @t178)) @t177)) % 0.44/0.64 (define @t181 () (forall @t38 @t180)) % 0.44/0.64 (define @t182 () (@list @t6)) % 0.44/0.64 (define @t183 () (or (not @t177) @t179 @t178)) % 0.44/0.64 (define @t184 () (forall @t38 @t183)) % 0.44/0.64 (define @t185 () (and @t184 @t181)) % 0.44/0.64 (define @t186 () (or @t179 @t178)) % 0.44/0.64 (define @t187 () (or (not @t186) @t177)) % 0.44/0.64 (define @t188 () (not @t187)) % 0.44/0.64 (define @t189 () (not @t183)) % 0.44/0.64 (define @t190 () (not (or @t189 @t188))) % 0.44/0.64 (define @t191 () (not (tptp.rel_s5 @t19 @t40))) % 0.44/0.64 (define @t192 () (forall @t112 (or @t191 @t103 @t101 @t100))) % 0.44/0.64 (define @t193 () (forall @t43 (or @t191 @t149))) % 0.44/0.64 (define @t194 () (forall @t43 (or @t191 @t103))) % 0.44/0.64 (define @t195 () (or @t194 @t193)) % 0.44/0.64 (define @t196 () (not @t192)) % 0.44/0.64 (define @t197 () (or @t196 @t194 @t193)) % 0.44/0.64 (define @t198 () (@list @t19)) % 0.44/0.64 (define @t199 () (lambda @t198 (not (or (not @t197) (not (or (not @t195) @t192)))))) % 0.44/0.64 (define @t200 () (_ @t199 @t6)) % 0.44/0.64 (define @t201 () (forall @t38 @t200)) % 0.44/0.64 (define @t202 () (_ @t11 @t6)) % 0.44/0.64 (define @t203 () (lambda @t79 (forall @t38 @t202))) % 0.44/0.64 (define @t204 () (lambda @t38 @t186)) % 0.44/0.64 (define @t205 () (_ @t204 @t19)) % 0.44/0.64 (define @t206 () (not @t205)) % 0.44/0.64 (define @t207 () (or @t206 @t192)) % 0.44/0.64 (define @t208 () (not @t207)) % 0.44/0.64 (define @t209 () (or @t196 @t205)) % 0.44/0.64 (define @t210 () (not @t209)) % 0.44/0.64 (define @t211 () (or @t210 @t208)) % 0.44/0.64 (define @t212 () (not @t211)) % 0.44/0.64 (define @t213 () (lambda @t198 @t212)) % 0.44/0.64 (define @t214 () (_ @t16 @t19)) % 0.44/0.64 (define @t215 () (not @t214)) % 0.44/0.64 (define @t216 () (@list @t16 @t19)) % 0.44/0.64 (define @t217 () (lambda @t38 @t178)) % 0.44/0.64 (define @t218 () (_ @t217 @t6)) % 0.44/0.64 (define @t219 () (or @t179 @t218)) % 0.44/0.64 (define @t220 () (lambda @t38 @t219)) % 0.44/0.64 (define @t221 () (@list @t16 @t6)) % 0.44/0.64 (define @t222 () (_ @t11 @t40)) % 0.44/0.64 (define @t223 () (lambda @t14 (forall @t43 (or @t175 @t222)))) % 0.44/0.64 (define @t224 () (_ @t223 tptp.q)) % 0.44/0.64 (define @t225 () (lambda @t38 @t179)) % 0.44/0.64 (define @t226 () (_ @t225 @t6)) % 0.44/0.64 (define @t227 () (or @t226 @t17)) % 0.44/0.64 (define @t228 () (lambda @t221 @t227)) % 0.44/0.64 (define @t229 () (_ tptp.p @t40)) % 0.44/0.64 (define @t230 () (not @t229)) % 0.44/0.64 (define @t231 () (or @t175 @t230)) % 0.44/0.64 (define @t232 () (not (_ tptp.p @t6))) % 0.44/0.64 (define @t233 () (lambda @t38 @t232)) % 0.44/0.64 (define @t234 () (_ @t233 @t40)) % 0.44/0.64 (define @t235 () (or @t175 @t234)) % 0.44/0.64 (define @t236 () (forall @t43 @t235)) % 0.44/0.64 (define @t237 () (lambda @t38 @t236)) % 0.44/0.64 (define @t238 () (_ @t15 tptp.p)) % 0.44/0.64 (define @t239 () (lambda @t38 @t177)) % 0.44/0.64 (define @t240 () (_ @t239 @t19)) % 0.44/0.64 (define @t241 () (or @t215 @t240)) % 0.44/0.64 (define @t242 () (not @t241)) % 0.44/0.64 (define @t243 () (not @t240)) % 0.44/0.64 (define @t244 () (or @t243 @t214)) % 0.44/0.64 (define @t245 () (not @t244)) % 0.44/0.64 (define @t246 () (or @t245 @t242)) % 0.44/0.64 (define @t247 () (not @t246)) % 0.44/0.64 (define @t248 () (lambda @t216 @t247)) % 0.44/0.64 (define @t249 () (_ @t11 @t19)) % 0.44/0.64 (define @t250 () (or @t215 @t249)) % 0.44/0.64 (define @t251 () (not @t249)) % 0.44/0.64 (define @t252 () (or @t251 @t214)) % 0.44/0.64 (define @t253 () (not @t252)) % 0.44/0.64 (define @t254 () (not (or @t253 (not @t250)))) % 0.44/0.64 (define @t255 () (lambda @t23 @t254)) % 0.44/0.64 (define @t256 () (or @t101 @t100)) % 0.44/0.64 (define @t257 () (or @t175 @t103 @t256)) % 0.44/0.64 (define @t258 () (forall @t112 @t257)) % 0.44/0.64 (define @t259 () (@list @t99)) % 0.44/0.64 (define @t260 () (forall @t259 @t257)) % 0.44/0.64 (define @t261 () (forall @t259 @t256)) % 0.44/0.64 (define @t262 () (@var "BOUND_VARIABLE_8454" $$unsorted)) % 0.44/0.64 (define @t263 () (@list @t262)) % 0.44/0.64 (define @t264 () (or @t175 @t103 @t261)) % 0.44/0.64 (define @t265 () (tptp.q @t262)) % 0.44/0.64 (define @t266 () (@list @t262)) % 0.44/0.64 (define @t267 () (forall @t266 (or (not (tptp.rel_s5 @t40 @t262)) @t265))) % 0.44/0.64 (define @t268 () (or @t175 @t230 @t267)) % 0.44/0.64 (define @t269 () (or @t230 @t267)) % 0.44/0.64 (define @t270 () (or @t232 @t178)) % 0.44/0.64 (define @t271 () (lambda @t38 @t270)) % 0.44/0.64 (define @t272 () (or @t175 (_ @t271 @t40))) % 0.44/0.64 (define @t273 () (forall @t43 @t272)) % 0.44/0.64 (define @t274 () (lambda @t38 @t273)) % 0.44/0.64 (define @t275 () (or @t232 @t218)) % 0.44/0.64 (define @t276 () (lambda @t38 @t275)) % 0.44/0.64 (define @t277 () (_ @t233 @t6)) % 0.44/0.64 (define @t278 () (or @t277 @t17)) % 0.44/0.64 (define @t279 () (lambda @t221 @t278)) % 0.44/0.64 (define @t280 () (lambda @t198 @t250)) % 0.44/0.64 (define @t281 () (_ @t280 @t19)) % 0.44/0.64 (define @t282 () (not @t281)) % 0.44/0.64 (define @t283 () (or @t253 @t282)) % 0.44/0.64 (define @t284 () (not @t283)) % 0.44/0.64 (define @t285 () (lambda @t198 @t284)) % 0.44/0.64 (define @t286 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.44/0.64 (define @t287 () (not (_ @t286 @t19))) % 0.44/0.64 (define @t288 () (@list @t286 @t19)) % 0.44/0.64 (define @t289 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.44/0.64 (define @t290 () (_ @t289 @t19)) % 0.44/0.64 (define @t291 () (lambda (@list @t289 @t19) (or @t215 @t290))) % 0.44/0.64 (define @t292 () (lambda @t23 @t252)) % 0.44/0.64 (define @t293 () (@list @t16)) % 0.44/0.64 (define @t294 () (lambda @t198 @t252)) % 0.44/0.64 (define @t295 () (_ @t294 @t19)) % 0.44/0.64 (define @t296 () (not @t295)) % 0.44/0.64 (define @t297 () (or @t296 @t287)) % 0.44/0.64 (define @t298 () (not @t297)) % 0.44/0.64 (define @t299 () (lambda @t288 @t298)) % 0.44/0.64 (define @t300 () (not (or @t251 @t215))) % 0.44/0.64 (define @t301 () (lambda @t23 @t300)) % 0.44/0.64 (define @t302 () (lambda @t216 @t252)) % 0.44/0.64 (define @t303 () (or @t13 @t17)) % 0.44/0.64 (define @t304 () (lambda @t38 @t303)) % 0.44/0.64 (define @t305 () (lambda @t221 @t303)) % 0.44/0.64 (define @t306 () (lambda @t38 @t13)) % 0.44/0.64 (define @t307 () (_ @t306 @t6)) % 0.44/0.64 (define @t308 () (or @t307 @t17)) % 0.44/0.64 (define @t309 () (lambda @t221 @t308)) % 0.44/0.64 (define @t310 () (not @t17)) % 0.44/0.64 (define @t311 () (or @t13 @t310)) % 0.44/0.64 (define @t312 () (lambda @t38 @t311)) % 0.44/0.64 (define @t313 () (_ @t312 @t6)) % 0.44/0.64 (define @t314 () (not @t313)) % 0.44/0.64 (define @t315 () (lambda @t38 @t314)) % 0.44/0.64 (define @t316 () (lambda @t38 @t310)) % 0.44/0.64 (define @t317 () (_ @t316 @t6)) % 0.44/0.64 (define @t318 () (or @t13 @t317)) % 0.44/0.64 (define @t319 () (lambda @t38 @t318)) % 0.44/0.64 (define @t320 () (forall @t155 @t152)) % 0.44/0.64 (define @t321 () (not @t320)) % 0.44/0.64 (define @t322 () (@quantifiers_skolemize @t320 2)) % 0.44/0.64 (define @t323 () (tptp.q @t322)) % 0.44/0.64 (define @t324 () (@quantifiers_skolemize @t320 1)) % 0.44/0.64 (define @t325 () (tptp.rel_s5 @t324 @t322)) % 0.44/0.64 (define @t326 () (not @t325)) % 0.44/0.64 (define @t327 () (tptp.p @t324)) % 0.44/0.64 (define @t328 () (not @t327)) % 0.44/0.64 (define @t329 () (@quantifiers_skolemize @t320 0)) % 0.44/0.64 (define @t330 () (tptp.rel_s5 @t329 @t324)) % 0.44/0.64 (define @t331 () (not @t330)) % 0.44/0.64 (define @t332 () (not (tptp.rel_s5 @t329 @t40))) % 0.44/0.64 (define @t333 () (forall @t43 (or @t332 @t149))) % 0.44/0.64 (define @t334 () (not @t333)) % 0.44/0.64 (define @t335 () (forall @t43 (or @t332 @t103))) % 0.44/0.64 (define @t336 () (not @t335)) % 0.44/0.64 (define @t337 () (and @t336 @t334)) % 0.44/0.64 (define @t338 () (or @t337 @t331 @t328 @t326 @t323)) % 0.44/0.64 (define @t339 () (not @t338)) % 0.44/0.64 (define @t340 () (@list true)) % 0.44/0.64 (define @t341 () (@list @t338)) % 0.44/0.64 (define @t342 () (or @t331 @t328)) % 0.44/0.64 (define @t343 () (not @t342)) % 0.44/0.64 (define @t344 () (tptp.rel_s5 @t329 @t322)) % 0.44/0.64 (define @t345 () (not @t344)) % 0.44/0.64 (define @t346 () (or @t345 @t323)) % 0.44/0.64 (define @t347 () (@list true false)) % 0.44/0.64 (define @t348 () (or @t331 @t326 @t344)) % 0.44/0.64 (define @t349 () (not @t348)) % 0.44/0.64 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.44/0.64 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.44/0.64 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.44/0.64 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.44/0.64 (assume @p5 @t3) % 0.44/0.64 (assume @p6 true) % 0.44/0.64 (step @p7 (= tptp.meq_ind @t7) :rule refl :args (@t7)) % 0.44/0.64 (step @p8 (= tptp.meq_prop @t10) :rule refl :args (@t10)) % 0.44/0.64 (step @p9 (= tptp.mnot @t15) :rule refl :args (@t15)) % 0.44/0.64 (step @p10 (= tptp.mor @t18) :rule refl :args (@t18)) % 0.44/0.64 (step @p11 (= tptp.mand @t24) :rule refl :args (@t24)) % 0.44/0.64 (step @p12 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.44/0.64 (step @p13 (= tptp.mimplied @t26) :rule refl :args (@t26)) % 0.44/0.64 (step @p14 (= tptp.mequiv @t27) :rule refl :args (@t27)) % 0.44/0.64 (step @p15 (= tptp.mxor @t28) :rule refl :args (@t28)) % 0.44/0.64 (step @p16 (= tptp.mforall_ind @t31) :rule refl :args (@t31)) % 0.44/0.64 (step @p17 (= tptp.mforall_prop @t35) :rule refl :args (@t35)) % 0.44/0.64 (step @p18 (= tptp.mexists_ind @t36) :rule refl :args (@t36)) % 0.44/0.64 (step @p19 (= tptp.mexists_prop @t37) :rule refl :args (@t37)) % 0.44/0.64 (step @p20 (= tptp.mtrue @t39) :rule refl :args (@t39)) % 0.44/0.64 (step @p21 (= tptp.mbox @t44) :rule refl :args (@t44)) % 0.44/0.64 (step @p22 (= tptp.mdia @t45) :rule refl :args (@t45)) % 0.44/0.64 (step @p23 (= tptp.mreflexive @t50) :rule refl :args (@t50)) % 0.44/0.64 (step @p24 (= tptp.msymmetric @t57) :rule refl :args (@t57)) % 0.44/0.64 (step @p25 (= tptp.mserial @t59) :rule refl :args (@t59)) % 0.44/0.64 (step @p26 (= tptp.mtransitive @t66) :rule refl :args (@t66)) % 0.44/0.64 (step @p27 (= tptp.meuclidean @t68) :rule refl :args (@t68)) % 0.44/0.64 (step @p28 (= tptp.mpartially_functional @t70) :rule refl :args (@t70)) % 0.44/0.64 (step @p29 (= tptp.mfunctional @t72) :rule refl :args (@t72)) % 0.44/0.64 (step @p30 (= tptp.mweakly_dense @t75) :rule refl :args (@t75)) % 0.44/0.64 (step @p31 (= tptp.mweakly_connected @t76) :rule refl :args (@t76)) % 0.44/0.64 (step @p32 (= tptp.mweakly_directed @t77) :rule refl :args (@t77)) % 0.44/0.64 (step @p33 (= tptp.mvalid @t80) :rule refl :args (@t80)) % 0.44/0.64 (step @p34 (= tptp.minvalid @t81) :rule refl :args (@t81)) % 0.44/0.64 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:premises (@p497 @p492) :args (@t346 @t141 (@list @t333))) % 0.44/0.64 (step @p499 :rule cnf_or_neg :args (@t338 4)) % 0.44/0.64 (step @p500 :rule chain_m_resolution :premises (@p499 @p460) :args ((not @t323) @t340 @t341)) % 0.44/0.64 (step @p501 :rule cnf_or_pos :args (@t346)) % 0.44/0.64 (step @p502 :rule reordering :premises (@p501) :args ((or @t323 @t345 (not @t346)))) % 0.44/0.64 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p498) :args (@t345 @t347 (@list @t323 @t346))) % 0.44/0.64 (step @p504 :rule bool-double-not-elim :args (@t325)) % 0.44/0.64 (step @p505 :rule nary_cong :premises (@p464 @p504) :args ((or @t338 (not @t326)))) % 0.44/0.64 (step @p506 :rule cnf_or_neg :args (@t338 3)) % 0.44/0.65 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.44/0.65 (step @p508 :rule reordering :premises (@p507) :args ((or @t325 @t338))) % 0.44/0.65 (step @p509 :rule chain_m_resolution :premises (@p508 @p460) :args (@t325 @t340 @t341)) % 0.44/0.65 (step @p510 :rule cnf_or_pos :args (@t348)) % 0.44/0.65 (step @p511 :rule reordering :premises (@p510) :args ((or @t331 @t326 @t344 @t349))) % 0.44/0.65 (step @p512 :rule chain_m_resolution :premises (@p511 @p475 @p509 @p503) :args (@t349 (@list false false true) (@list @t330 @t325 @t344))) % 0.44/0.65 (assume-push @p529 @t91) % 0.44/0.65 (step @p514 :rule instantiate :premises (@p72) :args ((@list @t329 @t324 @t322))) % 0.44/0.65 (step-pop @p530 :rule scope :premises (@p514)) % 0.44/0.65 (step @p515 :rule process_scope :premises (@p530) :args (@t348)) % 0.44/0.65 (step @p517 :rule implies_elim :premises (@p515)) % 0.44/0.65 (step @p518 false :rule chain_m_resolution :premises (@p517 @p512 @p72) :args (false @t347 (@list @t348 @t91))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------