%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV434^4 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:01:32 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV434^4 : TPTP v9.2.1. Released v3.6.0. % 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 : n017.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 : Tue Jun 2 20:16:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-sort tptp.individuals 0) % 0.39/0.62 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.s (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 0.39/0.62 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.39/0.62 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.39/0.62 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.39/0.62 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.39/0.62 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.62 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.62 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.39/0.62 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.39/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.icl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) _let_2) _let_1))))) % 0.39/0.62 (define tptp.icl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.39/0.62 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.39/0.62 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.39/0.62 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.39/0.62 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "S" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mor _let_3) _let_2)) _let_1)))))) % 0.39/0.62 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.39/0.62 (define @t1 () (= tptp.icl_false tptp.mfalse)) % 0.39/0.62 (define @t2 () (@var "A" (-> $$unsorted Bool))) % 0.39/0.62 (define @t3 () (_ tptp.mbox tptp.rel)) % 0.39/0.62 (define @t4 () (@list @t2)) % 0.39/0.62 (define @t5 () (forall @t4 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t3 @t2)) @t2)))) % 0.39/0.62 (define @t6 () (@var "B" (-> $$unsorted Bool))) % 0.39/0.62 (define @t7 () (_ @t3 @t6)) % 0.39/0.62 (define @t8 () (_ tptp.icl_atom tptp.s)) % 0.39/0.62 (define @t9 () (not (_ tptp.iclval (_ (_ tptp.icl_impl (_ (_ tptp.icl_says tptp.icl_false) @t8)) @t8)))) % 0.39/0.62 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.62 (define @t11 () (@list @t10)) % 0.39/0.62 (define @t12 () (lambda @t11 false)) % 0.39/0.62 (define @t13 () (lambda @t11 true)) % 0.39/0.62 (define @t14 () (@var "U" $$unsorted)) % 0.39/0.62 (define @t15 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.62 (define @t16 () (_ @t15 @t14)) % 0.39/0.62 (define @t17 () (lambda (@list @t15 @t14) (not @t16))) % 0.39/0.62 (define @t18 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.62 (define @t19 () (_ @t18 @t14)) % 0.39/0.62 (define @t20 () (@list @t15 @t18 @t14)) % 0.39/0.62 (define @t21 () (lambda @t20 (or @t16 @t19))) % 0.39/0.62 (define @t22 () (lambda @t20 (and @t16 @t19))) % 0.39/0.62 (define @t23 () (@var "__flatten_var_0" $$unsorted)) % 0.39/0.62 (define @t24 () (@var "V" (-> $$unsorted Bool))) % 0.39/0.62 (define @t25 () (@var "U" (-> $$unsorted Bool))) % 0.39/0.62 (define @t26 () (@list @t25 @t24 @t23)) % 0.39/0.62 (define @t27 () (lambda @t26 (_ (_ (_ tptp.mor (_ tptp.mnot @t25)) @t24) @t23))) % 0.39/0.62 (define @t28 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t25) @t24)) (_ (_ tptp.mimpl @t24) @t25)) @t23))) % 0.39/0.62 (define @t29 () (@var "Y" $$unsorted)) % 0.39/0.62 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.39/0.62 (define @t31 () (_ @t30 @t29)) % 0.39/0.62 (define @t32 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.39/0.62 (define @t33 () (_ (_ @t32 @t10) @t29)) % 0.39/0.62 (define @t34 () (@list @t29)) % 0.39/0.62 (define @t35 () (forall @t34 (=> @t33 @t31))) % 0.39/0.62 (define @t36 () (@list @t32 @t30 @t10)) % 0.39/0.62 (define @t37 () (lambda @t36 @t35)) % 0.39/0.62 (define @t38 () (lambda @t36 (exists @t34 (and @t33 @t31)))) % 0.39/0.62 (define @t39 () (@var "W" $$unsorted)) % 0.39/0.62 (define @t40 () (@var "X" tptp.individuals)) % 0.39/0.63 (define @t41 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.39/0.63 (define @t42 () (_ (_ @t41 @t40) @t39)) % 0.39/0.63 (define @t43 () (@list @t40)) % 0.39/0.63 (define @t44 () (@list @t41 @t39)) % 0.39/0.63 (define @t45 () (lambda @t44 (forall @t43 @t42))) % 0.39/0.63 (define @t46 () (lambda @t44 (exists @t43 @t42))) % 0.39/0.63 (define @t47 () (_ @t30 @t39)) % 0.39/0.63 (define @t48 () (@list @t39)) % 0.39/0.63 (define @t49 () (forall @t48 @t47)) % 0.39/0.63 (define @t50 () (@list @t30)) % 0.39/0.63 (define @t51 () (lambda @t50 @t49)) % 0.39/0.63 (define @t52 () (lambda @t50 (exists @t48 @t47))) % 0.39/0.63 (define @t53 () (not @t47)) % 0.39/0.63 (define @t54 () (lambda @t50 (exists @t48 @t53))) % 0.39/0.63 (define @t55 () (lambda @t50 (forall @t48 @t53))) % 0.39/0.63 (define @t56 () (@list @t30 @t23)) % 0.39/0.63 (define @t57 () (lambda @t56 (_ (_ @t3 @t30) @t23))) % 0.39/0.63 (define @t58 () (lambda @t56 (_ @t30 @t23))) % 0.39/0.63 (define @t59 () (@list @t2 @t6 @t23)) % 0.39/0.63 (define @t60 () (lambda @t59 (_ (_ (_ tptp.mand @t2) @t6) @t23))) % 0.39/0.63 (define @t61 () (_ tptp.mor @t2)) % 0.39/0.63 (define @t62 () (lambda @t59 (_ (_ @t61 @t6) @t23))) % 0.39/0.63 (define @t63 () (lambda @t59 (_ (_ @t3 (_ (_ tptp.mimpl @t2) @t6)) @t23))) % 0.39/0.63 (define @t64 () (@var "S" (-> $$unsorted Bool))) % 0.39/0.63 (define @t65 () (@list @t2 @t64 @t23)) % 0.39/0.63 (define @t66 () (lambda @t65 (_ (_ @t3 (_ @t61 @t64)) @t23))) % 0.39/0.63 (define @t67 () (@list @t15)) % 0.39/0.63 (define @t68 () (lambda @t67 (_ tptp.mvalid @t15))) % 0.39/0.63 (define @t69 () (_ @t2 @t39)) % 0.39/0.63 (define @t70 () (_ @t2 @t29)) % 0.39/0.63 (define @t71 () (not (tptp.rel @t39 @t29))) % 0.39/0.63 (define @t72 () (not (forall @t34 (or @t71 @t70)))) % 0.39/0.63 (define @t73 () (or @t72 @t69)) % 0.39/0.63 (define @t74 () (forall (@list @t2 @t39) @t73)) % 0.39/0.63 (define @t75 () (_ @t2 @t39)) % 0.39/0.63 (define @t76 () (or @t72 @t75)) % 0.39/0.63 (define @t77 () (_ @t2 @t23)) % 0.39/0.63 (define @t78 () (not (tptp.rel @t23 @t29))) % 0.39/0.63 (define @t79 () (forall @t34 (or @t78 @t70))) % 0.39/0.63 (define @t80 () (not @t79)) % 0.39/0.63 (define @t81 () (@list @t23)) % 0.39/0.63 (define @t82 () (lambda @t81 (or @t80 @t77))) % 0.39/0.63 (define @t83 () (_ @t82 @t39)) % 0.39/0.63 (define @t84 () (forall @t48 @t83)) % 0.39/0.63 (define @t85 () (_ @t30 @t39)) % 0.39/0.63 (define @t86 () (lambda @t50 (forall @t48 @t85))) % 0.39/0.63 (define @t87 () (_ @t24 @t23)) % 0.39/0.63 (define @t88 () (@list @t24 @t23)) % 0.39/0.63 (define @t89 () (not (tptp.rel @t10 @t29))) % 0.39/0.63 (define @t90 () (lambda @t11 (forall @t34 (or @t89 @t70)))) % 0.39/0.63 (define @t91 () (_ @t90 @t23)) % 0.39/0.63 (define @t92 () (not @t91)) % 0.39/0.63 (define @t93 () (or @t92 @t87)) % 0.39/0.63 (define @t94 () (lambda @t88 @t93)) % 0.39/0.63 (define @t95 () (or (not (_ @t25 @t23)) @t87)) % 0.39/0.63 (define @t96 () (lambda @t26 @t95)) % 0.39/0.63 (define @t97 () (_ @t30 @t29)) % 0.39/0.63 (define @t98 () (forall @t34 (or @t89 @t97))) % 0.39/0.63 (define @t99 () (lambda (@list @t30 @t10) @t98)) % 0.39/0.63 (define @t100 () (_ @t32 @t10 @t29)) % 0.39/0.63 (define @t101 () (_ (lambda @t36 (forall @t34 (or (not @t100) @t97))) tptp.rel)) % 0.39/0.63 (define @t102 () (not @t33)) % 0.39/0.63 (define @t103 () (or @t102 @t31)) % 0.39/0.63 (define @t104 () (not (_ @t25 @t14))) % 0.39/0.63 (define @t105 () (@list @t14)) % 0.39/0.63 (define @t106 () (lambda @t105 (or @t104 (_ @t24 @t14)))) % 0.39/0.63 (define @t107 () (@list @t18 @t14)) % 0.39/0.63 (define @t108 () (lambda @t105 @t104)) % 0.39/0.63 (define @t109 () (_ @t108 @t14)) % 0.39/0.63 (define @t110 () (or @t109 @t19)) % 0.39/0.63 (define @t111 () (lambda @t107 @t110)) % 0.39/0.63 (define @t112 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 0.39/0.63 (define @t113 () (tptp.s @t112)) % 0.39/0.63 (define @t114 () (not (tptp.rel @t29 @t112))) % 0.39/0.63 (define @t115 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 0.39/0.63 (define @t116 () (tptp.s @t115)) % 0.39/0.63 (define @t117 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 0.39/0.63 (define @t118 () (not (tptp.rel @t117 @t115))) % 0.39/0.63 (define @t119 () (not (tptp.rel @t29 @t117))) % 0.39/0.63 (define @t120 () (or @t119 @t118 @t116)) % 0.39/0.63 (define @t121 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 0.39/0.63 (define @t122 () (lambda (@list @t121) false)) % 0.39/0.63 (define @t123 () (_ @t122 @t117)) % 0.39/0.63 (define @t124 () (or @t119 @t123 @t118 @t116)) % 0.39/0.63 (define @t125 () (@list @t117 @t115)) % 0.39/0.63 (define @t126 () (forall @t125 @t124)) % 0.39/0.63 (define @t127 () (not @t126)) % 0.39/0.63 (define @t128 () (or @t71 @t127 @t114 @t113)) % 0.39/0.63 (define @t129 () (@list @t39 @t29 @t112)) % 0.39/0.63 (define @t130 () (forall @t129 @t128)) % 0.39/0.63 (define @t131 () (tptp.icl_false @t117)) % 0.39/0.63 (define @t132 () (or @t119 @t131 @t118 @t116)) % 0.39/0.63 (define @t133 () (forall @t125 @t132)) % 0.39/0.63 (define @t134 () (not @t133)) % 0.39/0.63 (define @t135 () (or @t71 @t134 @t114 @t113)) % 0.39/0.63 (define @t136 () (forall @t129 @t135)) % 0.39/0.63 (define @t137 () (@list @t29 @t112)) % 0.39/0.63 (define @t138 () (forall @t137 @t135)) % 0.39/0.63 (define @t139 () (or @t78 @t134 @t114 @t113)) % 0.39/0.63 (define @t140 () (lambda @t81 (forall @t137 @t139))) % 0.39/0.63 (define @t141 () (_ @t140 @t39)) % 0.39/0.63 (define @t142 () (forall @t48 @t141)) % 0.39/0.63 (define @t143 () (forall @t48 (_ @t15 @t39))) % 0.39/0.63 (define @t144 () (lambda @t67 @t143)) % 0.39/0.63 (define @t145 () (or @t114 @t113)) % 0.39/0.63 (define @t146 () (or @t78 @t134 @t145)) % 0.39/0.63 (define @t147 () (forall @t137 @t146)) % 0.39/0.63 (define @t148 () (@list @t112)) % 0.39/0.63 (define @t149 () (forall @t148 @t146)) % 0.39/0.63 (define @t150 () (forall @t148 @t145)) % 0.39/0.63 (define @t151 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 0.39/0.63 (define @t152 () (@list @t151)) % 0.39/0.63 (define @t153 () (or @t78 @t134 @t150)) % 0.39/0.63 (define @t154 () (tptp.s @t151)) % 0.39/0.63 (define @t155 () (@list @t151)) % 0.39/0.63 (define @t156 () (forall @t155 (or (not (tptp.rel @t29 @t151)) @t154))) % 0.39/0.63 (define @t157 () (forall @t34 (or @t78 (tptp.s @t29)))) % 0.39/0.63 (define @t158 () (@list @t29)) % 0.39/0.63 (define @t159 () (lambda @t81 @t157)) % 0.39/0.63 (define @t160 () (_ @t159 @t29)) % 0.39/0.63 (define @t161 () (or @t78 @t134 @t160)) % 0.39/0.63 (define @t162 () (forall @t34 @t161)) % 0.39/0.63 (define @t163 () (lambda @t81 @t162)) % 0.39/0.63 (define @t164 () (_ @t6 @t29)) % 0.39/0.63 (define @t165 () (@list @t6 @t23)) % 0.39/0.63 (define @t166 () (forall @t34 (or @t78 @t97))) % 0.39/0.63 (define @t167 () (_ (lambda @t56 @t166) tptp.s)) % 0.39/0.63 (define @t168 () (not (tptp.rel @t29 @t115))) % 0.39/0.63 (define @t169 () (tptp.icl_false @t29)) % 0.39/0.63 (define @t170 () (or @t78 @t169 @t168 @t116)) % 0.39/0.63 (define @t171 () (@list @t29 @t115)) % 0.39/0.63 (define @t172 () (forall @t171 @t170)) % 0.39/0.63 (define @t173 () (lambda @t81 @t172)) % 0.39/0.63 (define @t174 () (not (_ @t173 @t29))) % 0.39/0.63 (define @t175 () (or @t78 @t174 @t164)) % 0.39/0.63 (define @t176 () (forall @t34 @t175)) % 0.39/0.63 (define @t177 () (lambda @t165 @t176)) % 0.39/0.63 (define @t178 () (not @t70)) % 0.39/0.63 (define @t179 () (forall @t34 (or @t78 @t178 @t164))) % 0.39/0.63 (define @t180 () (lambda @t59 @t179)) % 0.39/0.63 (define @t181 () (or @t168 @t116)) % 0.39/0.63 (define @t182 () (or @t78 @t169 @t181)) % 0.39/0.63 (define @t183 () (forall @t171 @t182)) % 0.39/0.63 (define @t184 () (@list @t115)) % 0.39/0.63 (define @t185 () (forall @t184 @t182)) % 0.39/0.63 (define @t186 () (forall @t184 @t181)) % 0.39/0.63 (define @t187 () (or @t78 @t169 @t186)) % 0.39/0.63 (define @t188 () (or @t78 @t169 @t160)) % 0.39/0.63 (define @t189 () (forall @t34 @t188)) % 0.39/0.63 (define @t190 () (lambda @t81 @t189)) % 0.39/0.63 (define @t191 () (_ @t64 @t29)) % 0.39/0.63 (define @t192 () (lambda (@list @t64 @t23) (forall @t34 (or @t78 @t169 @t191)))) % 0.39/0.63 (define @t193 () (forall @t34 (or @t78 @t70 @t191))) % 0.39/0.63 (define @t194 () (_ (lambda @t65 @t193) tptp.icl_false)) % 0.39/0.63 (define @t195 () (lambda @t11 @t98)) % 0.39/0.63 (define @t196 () (_ @t64 @t29)) % 0.39/0.63 (define @t197 () (_ @t2 @t29)) % 0.39/0.63 (define @t198 () (or @t89 @t197 @t196)) % 0.39/0.63 (define @t199 () (or @t197 @t196)) % 0.39/0.63 (define @t200 () (_ @t2 @t14)) % 0.39/0.63 (define @t201 () (lambda @t105 (or @t200 (_ @t64 @t14)))) % 0.39/0.63 (define @t202 () (_ @t201 @t29)) % 0.39/0.63 (define @t203 () (or @t89 @t202)) % 0.39/0.63 (define @t204 () (forall @t34 @t203)) % 0.39/0.63 (define @t205 () (lambda @t11 @t204)) % 0.39/0.63 (define @t206 () (lambda @t107 (or @t200 @t19))) % 0.39/0.63 (define @t207 () (_ @t6 @t29)) % 0.39/0.63 (define @t208 () (not @t197)) % 0.39/0.63 (define @t209 () (or @t89 @t208 @t207)) % 0.39/0.63 (define @t210 () (or @t208 @t207)) % 0.39/0.63 (define @t211 () (not @t77)) % 0.39/0.63 (define @t212 () (lambda @t81 (or @t211 (_ @t6 @t23)))) % 0.39/0.63 (define @t213 () (_ @t212 @t29)) % 0.39/0.63 (define @t214 () (or @t89 @t213)) % 0.39/0.63 (define @t215 () (forall @t34 @t214)) % 0.39/0.63 (define @t216 () (lambda @t11 @t215)) % 0.39/0.63 (define @t217 () (lambda @t88 (or @t211 @t87))) % 0.39/0.63 (define @t218 () (forall @t129 (or @t71 (not (forall @t125 @t120)) @t114 @t113))) % 0.39/0.63 (define @t219 () (@quantifiers_skolemize @t218 1)) % 0.39/0.63 (define @t220 () (forall @t125 (or (not (tptp.rel @t219 @t117)) @t118 @t116))) % 0.39/0.63 (define @t221 () (@quantifiers_skolemize @t218 2)) % 0.39/0.63 (define @t222 () (tptp.s @t221)) % 0.39/0.63 (define @t223 () (tptp.rel @t219 @t221)) % 0.39/0.63 (define @t224 () (not @t223)) % 0.39/0.63 (define @t225 () (not @t220)) % 0.39/0.63 (define @t226 () (or (not (tptp.rel (@quantifiers_skolemize @t218 0) @t219)) @t225 @t224 @t222)) % 0.39/0.63 (define @t227 () (@list true)) % 0.39/0.63 (define @t228 () (@list @t226)) % 0.39/0.63 (define @t229 () (tptp.rel @t219 @t219)) % 0.39/0.63 (define @t230 () (not @t229)) % 0.39/0.63 (define @t231 () (or @t230 @t224 @t222)) % 0.39/0.63 (define @t232 () (_ tptp.rel @t219)) % 0.39/0.63 (define @t233 () (_ @t232 @t219)) % 0.39/0.63 (define @t234 () (_ @t232 @t219)) % 0.39/0.63 (define @t235 () (tptp.rel @t219 @t29)) % 0.39/0.63 (define @t236 () (not @t235)) % 0.39/0.63 (define @t237 () (_ @t232 @t29)) % 0.39/0.63 (define @t238 () (or @t236 @t237)) % 0.39/0.63 (define @t239 () (_ @t232 @t29)) % 0.39/0.63 (define @t240 () (or @t236 @t239)) % 0.39/0.63 (define @t241 () (forall @t34 @t240)) % 0.39/0.63 (define @t242 () (not @t241)) % 0.39/0.63 (define @t243 () (or @t242 @t234)) % 0.39/0.63 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 0.39/0.63 (assume @p2 @t1) % 0.39/0.63 (assume @p3 @t5) % 0.39/0.63 (assume @p4 (forall (@list @t6) (_ tptp.mvalid (_ (_ tptp.mimpl @t7) (_ @t3 @t7))))) % 0.39/0.63 (assume @p5 @t9) % 0.39/0.63 (assume @p6 true) % 0.39/0.63 (step @p7 (= tptp.mfalse @t12) :rule refl :args (@t12)) % 0.39/0.63 (step @p8 (= tptp.mtrue @t13) :rule refl :args (@t13)) % 0.39/0.63 (step @p9 (= tptp.mnot @t17) :rule refl :args (@t17)) % 0.39/0.63 (step @p10 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.39/0.63 (step @p11 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.39/0.63 (step @p12 (= tptp.mimpl @t27) :rule refl :args (@t27)) % 0.39/0.63 (step @p13 (= tptp.miff @t28) :rule refl :args (@t28)) % 0.39/0.63 (step @p14 (= tptp.mbox @t37) :rule refl :args (@t37)) % 0.39/0.63 (step @p15 (= tptp.mdia @t38) :rule refl :args (@t38)) % 0.39/0.63 (step @p16 (= tptp.mall @t45) :rule refl :args (@t45)) % 0.39/0.63 (step @p17 (= tptp.mexists @t46) :rule refl :args (@t46)) % 0.39/0.63 (step @p18 (= tptp.mvalid @t51) :rule refl :args (@t51)) % 0.39/0.63 (step @p19 (= tptp.msatisfiable @t52) :rule refl :args (@t52)) % 0.39/0.63 (step @p20 (= tptp.mcountersatisfiable @t54) :rule refl :args (@t54)) % 0.39/0.63 (step @p21 (= tptp.minvalid @t55) :rule refl :args (@t55)) % 0.39/0.63 (step @p22 (= tptp.icl_atom @t57) :rule refl :args (@t57)) % 0.39/0.63 (step @p23 (= tptp.icl_princ @t58) :rule refl :args (@t58)) % 0.39/0.63 (step @p24 (= tptp.icl_and @t60) :rule refl :args (@t60)) % 0.39/0.63 (step @p25 (= tptp.icl_or @t62) :rule refl :args (@t62)) % 0.39/0.63 (step @p26 (= tptp.icl_impl @t63) :rule refl :args (@t63)) % 0.39/0.63 (step @p27 (= tptp.icl_says @t66) :rule refl :args (@t66)) % 0.39/0.63 (step @p28 (= tptp.iclval @t68) :rule refl :args (@t68)) % 0.39/0.63 (step @p29 :rule quant-merge-prenex :args ((= (forall @t4 (forall @t48 @t73)) @t74))) % 0.39/0.63 (step @p30 :rule refl :args (@t69)) % 0.39/0.63 (step @p31 :rule refl :args (@t75)) % 0.39/0.63 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t75 @t69))) % 0.39/0.63 (step @p33 :rule symm :premises (@p32)) % 0.39/0.63 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.39/0.63 (step @p35 :rule refl :args (@t72)) % 0.39/0.63 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t76)) % 0.39/0.63 (step @p37 :rule cong :premises (@p36) :args ((forall @t48 @t76))) % 0.39/0.63 (step @p38 :rule beta-reduce :args ((= @t83 @t76))) % 0.39/0.63 (step @p39 :rule cong :premises (@p38) :args (@t84)) % 0.39/0.63 (step @p40 :rule trans :premises (@p39 @p37)) % 0.39/0.63 (step @p41 :rule beta-reduce :args ((= (_ @t86 @t82) @t84))) % 0.39/0.63 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.63 (step @p43 :rule beta-reduce :args ((= (_ (lambda @t88 (or @t80 @t87)) @t2) @t82))) % 0.39/0.63 (step @p44 :rule refl :args (@t2)) % 0.39/0.63 (step @p45 :rule refl :args (@t87)) % 0.39/0.63 (step @p46 :rule beta-reduce :args ((= @t91 @t79))) % 0.39/0.63 (step @p47 :rule cong :premises (@p46) :args (@t92)) % 0.39/0.63 (step @p48 :rule nary_cong :premises (@p47 @p45) :args (@t93)) % 0.39/0.63 (step @p49 :rule cong :premises (@p48) :args (@t94)) % 0.39/0.63 (step @p50 :rule beta-reduce :args ((= (_ @t96 @t90) @t94))) % 0.39/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.63 (step @p52 :rule beta-reduce :args ((= (_ @t99 @t2) @t90))) % 0.39/0.63 (step @p53 :rule beta-reduce :args ((= @t101 @t99))) % 0.39/0.63 (step @p54 :rule ho_cong :premises (@p53 @p44)) % 0.39/0.63 (step @p55 :rule trans :premises (@p54 @p52)) % 0.39/0.63 (step @p56 :rule refl :args (@t96)) % 0.39/0.63 (step @p57 :rule ho_cong :premises (@p56 @p55)) % 0.39/0.63 (step @p58 :rule trans :premises (@p57 @p51)) % 0.39/0.63 (step @p59 :rule ho_cong :premises (@p58 @p44)) % 0.39/0.63 (step @p60 :rule trans :premises (@p59 @p43)) % 0.39/0.63 (step @p61 :rule refl :args (@t86)) % 0.39/0.63 (step @p62 :rule ho_cong :premises (@p61 @p60)) % 0.39/0.63 (step @p63 :rule trans :premises (@p62 @p42)) % 0.39/0.63 (step @p64 :rule cong :premises (@p63) :args ((forall @t4 (_ @t86 (_ (_ @t96 (_ @t101 @t2)) @t2))))) % 0.39/0.63 (step @p65 :rule trans :premises (@p64 @p29)) % 0.39/0.63 (step @p66 :rule refl :args (tptp.rel)) % 0.39/0.63 (step @p67 :rule refl :args (@t97)) % 0.39/0.63 (step @p68 :rule refl :args (@t31)) % 0.39/0.63 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t31 @t97))) % 0.39/0.63 (step @p70 :rule symm :premises (@p69)) % 0.39/0.63 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.39/0.63 (step @p72 :rule refl :args (@t100)) % 0.39/0.63 (step @p73 :rule refl :args (@t33)) % 0.39/0.63 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t33 @t100))) % 0.39/0.63 (step @p75 :rule symm :premises (@p74)) % 0.39/0.63 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.39/0.63 (step @p77 :rule cong :premises (@p76) :args (@t102)) % 0.39/0.63 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t103)) % 0.39/0.63 (step @p79 :rule cong :premises (@p78) :args ((forall @t34 @t103))) % 0.39/0.63 (step @p80 :rule bool-impl-elim :args (@t33 @t31)) % 0.39/0.63 (step @p81 :rule cong :premises (@p80) :args (@t35)) % 0.39/0.63 (step @p82 :rule trans :premises (@p81 @p79)) % 0.39/0.63 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 0.39/0.63 (step @p84 :rule trans :premises (@p14 @p83)) % 0.39/0.63 (step @p85 :rule ho_cong :premises (@p84 @p66)) % 0.39/0.63 (step @p86 :rule ho_cong :premises (@p85 @p44)) % 0.39/0.63 (step @p87 :rule beta-reduce :args ((= (_ @t106 @t23) @t95))) % 0.39/0.63 (step @p88 :rule refl :args (@t23)) % 0.39/0.63 (step @p89 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t104 @t19)) @t24) @t106))) % 0.39/0.63 (step @p90 :rule refl :args (@t24)) % 0.39/0.63 (step @p91 :rule refl :args (@t19)) % 0.39/0.63 (step @p92 :rule beta-reduce :args ((= @t109 @t104))) % 0.39/0.63 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t110)) % 0.39/0.63 (step @p94 :rule cong :premises (@p93) :args (@t111)) % 0.39/0.63 (step @p95 :rule beta-reduce :args ((= (_ @t21 @t108) @t111))) % 0.39/0.63 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.63 (step @p97 :rule beta-reduce :args ((= (_ @t17 @t25) @t108))) % 0.39/0.63 (step @p98 :rule refl :args (@t21)) % 0.39/0.63 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 0.39/0.63 (step @p100 :rule trans :premises (@p99 @p96)) % 0.39/0.63 (step @p101 :rule ho_cong :premises (@p100 @p90)) % 0.39/0.63 (step @p102 :rule trans :premises (@p101 @p89)) % 0.39/0.63 (step @p103 :rule ho_cong :premises (@p102 @p88)) % 0.39/0.63 (step @p104 :rule trans :premises (@p103 @p87)) % 0.39/0.63 (step @p105 :rule refl :args (@t25)) % 0.39/0.63 (step @p106 :rule ho_cong :premises (@p9 @p105)) % 0.39/0.63 (step @p107 :rule ho_cong :premises (@p10 @p106)) % 0.39/0.63 (step @p108 :rule ho_cong :premises (@p107 @p90)) % 0.39/0.63 (step @p109 :rule ho_cong :premises (@p108 @p88)) % 0.39/0.63 (step @p110 :rule trans :premises (@p109 @p104)) % 0.39/0.63 (step @p111 :rule cong :premises (@p110) :args (@t27)) % 0.39/0.63 (step @p112 :rule trans :premises (@p12 @p111)) % 0.39/0.63 (step @p113 :rule ho_cong :premises (@p112 @p86)) % 0.39/0.63 (step @p114 :rule ho_cong :premises (@p113 @p44)) % 0.39/0.63 (step @p115 :rule refl :args (@t85)) % 0.39/0.63 (step @p116 :rule refl :args (@t47)) % 0.39/0.63 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t47 @t85))) % 0.39/0.63 (step @p118 :rule symm :premises (@p117)) % 0.39/0.63 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.39/0.63 (step @p120 :rule cong :premises (@p119) :args (@t49)) % 0.39/0.63 (step @p121 :rule cong :premises (@p120) :args (@t51)) % 0.39/0.63 (step @p122 :rule trans :premises (@p18 @p121)) % 0.39/0.63 (step @p123 :rule ho_cong :premises (@p122 @p114)) % 0.39/0.63 (step @p124 :rule cong :premises (@p123) :args (@t5)) % 0.39/0.63 (step @p125 :rule trans :premises (@p124 @p65)) % 0.39/0.63 (step @p126 :rule eq_resolve :premises (@p3 @p125)) % 0.39/0.63 (step @p127 :rule refl :args (@t113)) % 0.39/0.63 (step @p128 :rule refl :args (@t114)) % 0.39/0.63 (step @p129 :rule aci_norm :args ((= (or @t119 false @t118 @t116) @t120))) % 0.39/0.63 (step @p130 :rule refl :args (@t116)) % 0.39/0.63 (step @p131 :rule refl :args (@t118)) % 0.39/0.63 (step @p132 :rule beta-reduce :args ((= @t123 false))) % 0.39/0.63 (step @p133 :rule refl :args (@t119)) % 0.39/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t124)) % 0.39/0.63 (step @p135 :rule trans :premises (@p134 @p129)) % 0.39/0.63 (step @p136 :rule cong :premises (@p135) :args (@t126)) % 0.39/0.63 (step @p137 :rule cong :premises (@p136) :args (@t127)) % 0.39/0.63 (step @p138 :rule refl :args (@t71)) % 0.39/0.63 (step @p139 :rule nary_cong :premises (@p138 @p137 @p128 @p127) :args (@t128)) % 0.39/0.63 (step @p140 :rule cong :premises (@p139) :args (@t130)) % 0.39/0.63 (step @p141 :rule cong :premises (@p140) :args ((not @t130))) % 0.39/0.63 (step @p142 :rule refl :args (@t117)) % 0.39/0.63 (step @p143 :rule refl :args (@t122)) % 0.39/0.63 (step @p144 :rule symm :premises (@p143)) % 0.39/0.63 (step @p145 :rule alpha_equiv :args (@t12 (@list @t10) (@list @t121))) % 0.39/0.63 (step @p146 :rule trans :premises (@p145 @p144)) % 0.39/0.63 (step @p147 :rule refl :args (tptp.icl_false)) % 0.39/0.63 (step @p148 :rule cong :premises (@p147 @p146) :args ((= tptp.icl_false @t12))) % 0.39/0.63 (step @p149 :rule cong :premises (@p147 @p7) :args (@t1)) % 0.39/0.63 (step @p150 :rule trans :premises (@p149 @p148)) % 0.39/0.63 (step @p151 :rule eq_resolve :premises (@p2 @p150)) % 0.39/0.63 (step @p152 :rule ho_cong :premises (@p151 @p142)) % 0.39/0.63 (step @p153 :rule nary_cong :premises (@p133 @p152 @p131 @p130) :args (@t132)) % 0.39/0.63 (step @p154 :rule cong :premises (@p153) :args (@t133)) % 0.39/0.63 (step @p155 :rule cong :premises (@p154) :args (@t134)) % 0.39/0.63 (step @p156 :rule nary_cong :premises (@p138 @p155 @p128 @p127) :args (@t135)) % 0.39/0.63 (step @p157 :rule cong :premises (@p156) :args (@t136)) % 0.39/0.63 (step @p158 :rule cong :premises (@p157) :args ((not @t136))) % 0.39/0.63 (step @p159 :rule trans :premises (@p158 @p141)) % 0.39/0.63 (step @p160 :rule quant-merge-prenex :args ((= (forall @t48 @t138) @t136))) % 0.39/0.63 (step @p161 :rule beta-reduce :args ((= @t141 @t138))) % 0.39/0.63 (step @p162 :rule cong :premises (@p161) :args (@t142)) % 0.39/0.63 (step @p163 :rule trans :premises (@p162 @p160)) % 0.39/0.63 (step @p164 :rule beta-reduce :args ((= (_ @t144 @t140) @t142))) % 0.39/0.63 (step @p165 :rule trans :premises 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(step @p313 :rule beta-reduce :args ((= (_ @t96 @t2) @t217))) % 0.39/0.63 (step @p314 :rule ho_cong :premises (@p313 @p312)) % 0.39/0.63 (step @p315 :rule trans :premises (@p314 @p311)) % 0.39/0.63 (step @p316 :rule ho_cong :premises (@p53 @p315)) % 0.39/0.63 (step @p317 :rule trans :premises (@p316 @p310)) % 0.39/0.63 (step @p318 :rule ho_cong :premises (@p317 @p88)) % 0.39/0.63 (step @p319 :rule trans :premises (@p318 @p293)) % 0.39/0.63 (step @p320 :rule ho_cong :premises (@p112 @p44)) % 0.39/0.63 (step @p321 :rule ho_cong :premises (@p320 @p312)) % 0.39/0.63 (step @p322 :rule ho_cong :premises (@p85 @p321)) % 0.39/0.63 (step @p323 :rule ho_cong :premises (@p322 @p88)) % 0.39/0.63 (step @p324 :rule trans :premises (@p323 @p319)) % 0.39/0.63 (step @p325 :rule cong :premises (@p324) :args (@t63)) % 0.39/0.63 (step @p326 :rule trans :premises (@p26 @p325)) % 0.39/0.63 (step @p327 :rule ho_cong :premises (@p326 @p292)) % 0.39/0.63 (step @p328 :rule ho_cong :premises (@p327 @p250)) % 0.39/0.63 (step @p329 :rule beta-reduce :args ((= (_ @t86 @t15) @t143))) % 0.39/0.63 (step @p330 :rule refl :args (@t15)) % 0.39/0.63 (step @p331 :rule ho_cong :premises (@p122 @p330)) % 0.39/0.63 (step @p332 :rule trans :premises (@p331 @p329)) % 0.39/0.63 (step @p333 :rule cong :premises (@p332) :args (@t68)) % 0.39/0.63 (step @p334 :rule trans :premises (@p28 @p333)) % 0.39/0.63 (step @p335 :rule ho_cong :premises (@p334 @p328)) % 0.39/0.63 (step @p336 :rule cong :premises (@p335) :args (@t9)) % 0.39/0.63 (step @p337 :rule trans :premises (@p336 @p236)) % 0.39/0.63 (step @p338 :rule trans :premises (@p337 @p159)) % 0.39/0.63 (step @p339 :rule eq_resolve :premises (@p5 @p338)) % 0.39/0.63 (step @p340 :rule skolemize :premises (@p339)) % 0.39/0.63 (step @p341 :rule bool-double-not-elim :args (@t220)) % 0.39/0.63 (step @p342 :rule refl :args (@t226)) % 0.39/0.63 (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or @t226 (not @t225)))) % 0.39/0.63 (step @p344 :rule cnf_or_neg 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0.39/0.63 (step @p357 :rule cnf_or_pos :args (@t231)) % 0.39/0.63 (step @p358 :rule reordering :premises (@p357) :args ((or @t224 @t222 @t230 (not @t231)))) % 0.39/0.63 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p350 @p348) :args (@t230 (@list false true false) (@list @t223 @t222 @t231))) % 0.39/0.63 (step @p360 :rule refl :args (@t229)) % 0.39/0.63 (step @p361 :rule refl :args (@t233)) % 0.39/0.63 (step @p362 :rule cong :premises (@p361 @p360) :args ((= @t233 @t229))) % 0.39/0.63 (step @p363 :rule symm :premises (@p362)) % 0.39/0.63 (step @p364 :rule eq_resolve :premises (@p361 @p363)) % 0.39/0.63 (step @p365 :rule refl :args (@t74)) % 0.39/0.63 (step @p366 :rule cong :premises (@p365 @p364) :args ((=> @t74 @t233))) % 0.39/0.63 (step @p367 :rule aci_norm :args ((= (or false @t233) @t233))) % 0.39/0.63 (step @p368 :rule refl :args (@t234)) % 0.39/0.63 (step @p369 :rule evaluate :args ((not true))) % 0.39/0.63 (step @p370 :rule quant-unused-vars :args ((= (forall @t34 true) true))) % 0.39/0.63 (step @p371 :rule bool-or-taut2 :args (false @t235 false false)) % 0.39/0.63 (step @p372 :rule cong :premises (@p371) :args ((forall @t34 (or @t236 @t235)))) % 0.39/0.63 (step @p373 :rule trans :premises (@p372 @p370)) % 0.39/0.63 (step @p374 :rule refl :args (@t235)) % 0.39/0.63 (step @p375 :rule refl :args (@t237)) % 0.39/0.63 (step @p376 :rule cong :premises (@p375 @p374) :args ((= @t237 @t235))) % 0.39/0.63 (step @p377 :rule symm :premises (@p376)) % 0.39/0.63 (step @p378 :rule eq_resolve :premises (@p375 @p377)) % 0.39/0.63 (step @p379 :rule refl :args (@t236)) % 0.39/0.63 (step @p380 :rule nary_cong :premises (@p379 @p378) :args (@t238)) % 0.39/0.63 (step @p381 :rule cong :premises (@p380) :args ((forall @t34 @t238))) % 0.39/0.63 (step @p382 :rule trans :premises (@p381 @p373)) % 0.39/0.63 (step @p383 :rule refl :args (@t239)) % 0.39/0.63 (step @p384 :rule refl :args (@t236)) % 0.39/0.63 (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t240)) % 0.39/0.63 (step @p386 :rule cong :premises (@p385) :args (@t241)) % 0.39/0.63 (step @p387 :rule trans :premises (@p386 @p382)) % 0.39/0.63 (step @p388 :rule cong :premises (@p387) :args (@t242)) % 0.39/0.63 (step @p389 :rule trans :premises (@p388 @p369)) % 0.39/0.63 (step @p390 :rule nary_cong :premises (@p389 @p368) :args (@t243)) % 0.39/0.63 (step @p391 :rule trans :premises (@p390 @p367)) % 0.39/0.63 (step @p392 :rule cong :premises (@p365 @p391) :args ((=> @t74 @t243))) % 0.39/0.63 (assume-push @p401 @t74) % 0.47/0.63 (step @p394 :rule instantiate :premises (@p126) :args ((@list @t232 @t219))) % 0.47/0.63 (step-pop @p402 :rule scope :premises (@p394)) % 0.47/0.63 (step @p395 :rule process_scope :premises (@p402) :args (@t243)) % 0.47/0.63 (step @p397 :rule eq_resolve :premises (@p395 @p392)) % 0.47/0.63 (step @p398 :rule eq_resolve :premises (@p397 @p366)) % 0.47/0.63 (step @p399 :rule implies_elim :premises (@p398)) % 0.47/0.63 (step @p400 false :rule chain_m_resolution :premises (@p399 @p359 @p126) :args (false (@list true false) (@list @t229 @t74))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.63 % cvc5 exiting %------------------------------------------------------------------------------