%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO064^4.001 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:11:55 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO064^4.001 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 : Tue Jun 2 23:53:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.a (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.b (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.c (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.36/0.61 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.36/0.61 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.36/0.61 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.61 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.36/0.61 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.36/0.61 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.36/0.61 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.61 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.36/0.61 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.36/0.61 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.36/0.61 (define tptp.ivalid () (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)))))) % 0.36/0.61 (define tptp.isatisfiable () (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)))))) % 0.36/0.61 (define tptp.icountersatisfiable () (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))))))) % 0.36/0.61 (define tptp.iinvalid () (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))))))) % 0.36/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.61 (define @t2 () (_ tptp.irel @t1)) % 0.36/0.61 (define @t3 () (_ @t2 @t1)) % 0.36/0.61 (define @t4 () (@list @t1)) % 0.36/0.61 (define @t5 () (forall @t4 @t3)) % 0.36/0.61 (define @t6 () (@var "Z" $$unsorted)) % 0.36/0.61 (define @t7 () (@var "Y" $$unsorted)) % 0.36/0.61 (define @t8 () (_ @t2 @t7)) % 0.36/0.61 (define @t9 () (_ tptp.iatom tptp.c)) % 0.36/0.61 (define @t10 () (_ tptp.iatom tptp.b)) % 0.36/0.61 (define @t11 () (_ tptp.iatom tptp.a)) % 0.36/0.61 (define @t12 () (not (_ tptp.ivalid (_ (_ tptp.ior @t11) (_ (_ tptp.iand @t10) @t9))))) % 0.36/0.61 (define @t13 () (@var "U" $$unsorted)) % 0.36/0.61 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.61 (define @t15 () (_ @t14 @t13)) % 0.36/0.61 (define @t16 () (lambda (@list @t14 @t13) (not @t15))) % 0.36/0.61 (define @t17 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.61 (define @t18 () (_ @t17 @t13)) % 0.36/0.61 (define @t19 () (@list @t14 @t17 @t13)) % 0.36/0.61 (define @t20 () (lambda @t19 (or @t15 @t18))) % 0.36/0.61 (define @t21 () (lambda @t19 (and @t15 @t18))) % 0.36/0.61 (define @t22 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.61 (define @t23 () (@var "V" (-> $$unsorted Bool))) % 0.36/0.61 (define @t24 () (@var "U" (-> $$unsorted Bool))) % 0.36/0.61 (define @t25 () (lambda (@list @t24 @t23 @t22) (_ (_ (_ tptp.mor (_ tptp.mnot @t24)) @t23) @t22))) % 0.36/0.61 (define @t26 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.61 (define @t27 () (_ @t26 @t7)) % 0.36/0.61 (define @t28 () (@list @t7)) % 0.36/0.61 (define @t29 () (forall @t28 (=> @t8 @t27))) % 0.36/0.61 (define @t30 () (@list @t26 @t1)) % 0.36/0.61 (define @t31 () (lambda @t30 @t29)) % 0.36/0.61 (define @t32 () (_ @t26 @t22)) % 0.36/0.61 (define @t33 () (@list @t26 @t22)) % 0.36/0.61 (define @t34 () (lambda @t33 @t32)) % 0.36/0.61 (define @t35 () (_ tptp.mbox_s4 @t26)) % 0.36/0.61 (define @t36 () (lambda @t33 (_ (_ tptp.mnot @t35) @t22))) % 0.36/0.61 (define @t37 () (@var "W" $$unsorted)) % 0.36/0.61 (define @t38 () (@list @t37)) % 0.36/0.61 (define @t39 () (lambda @t38 true)) % 0.36/0.61 (define @t40 () (@var "Q" (-> $$unsorted Bool))) % 0.36/0.61 (define @t41 () (@list @t26 @t40 @t22)) % 0.36/0.61 (define @t42 () (lambda @t41 (_ (_ (_ tptp.mand @t26) @t40) @t22))) % 0.36/0.61 (define @t43 () (_ tptp.mbox_s4 @t40)) % 0.36/0.61 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t35) @t43) @t22))) % 0.36/0.61 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mimplies @t35) @t43) @t22))) % 0.36/0.61 (define @t46 () (_ (_ tptp.iimplies @t40) @t26)) % 0.36/0.61 (define @t47 () (lambda @t41 (_ @t46 @t22))) % 0.36/0.61 (define @t48 () (lambda @t41 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t26) @t40)) @t46) @t22))) % 0.36/0.61 (define @t49 () (lambda @t41 (_ (_ tptp.inot (_ (_ tptp.iequiv @t26) @t40)) @t22))) % 0.36/0.61 (define @t50 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.61 (define @t51 () (_ @t50 @t37)) % 0.36/0.61 (define @t52 () (forall @t38 @t51)) % 0.36/0.61 (define @t53 () (@list @t50)) % 0.36/0.61 (define @t54 () (lambda @t53 @t52)) % 0.36/0.61 (define @t55 () (lambda @t53 (exists @t38 @t51))) % 0.36/0.61 (define @t56 () (not @t51)) % 0.36/0.61 (define @t57 () (lambda @t53 (exists @t38 @t56))) % 0.36/0.61 (define @t58 () (lambda @t53 (forall @t38 @t56))) % 0.36/0.61 (define @t59 () (tptp.c @t37)) % 0.36/0.61 (define @t60 () (_ tptp.c @t37)) % 0.36/0.61 (define @t61 () (_ tptp.c @t22)) % 0.36/0.61 (define @t62 () (@list @t22)) % 0.36/0.61 (define @t63 () (lambda @t62 @t61)) % 0.36/0.61 (define @t64 () (_ @t63 @t37)) % 0.36/0.61 (define @t65 () (forall @t38 @t64)) % 0.36/0.61 (define @t66 () (_ @t50 @t37)) % 0.36/0.61 (define @t67 () (lambda @t53 (forall @t38 @t66))) % 0.36/0.61 (define @t68 () (_ @t34 tptp.c)) % 0.36/0.61 (define @t69 () (@var "BOUND_VARIABLE_8160" $$unsorted)) % 0.36/0.61 (define @t70 () (tptp.b @t69)) % 0.36/0.61 (define @t71 () (not (tptp.irel @t37 @t69))) % 0.36/0.61 (define @t72 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 0.36/0.61 (define @t73 () (tptp.a @t72)) % 0.36/0.61 (define @t74 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.36/0.61 (define @t75 () (not (tptp.irel @t74 @t72))) % 0.36/0.61 (define @t76 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.36/0.61 (define @t77 () (tptp.b @t76)) % 0.36/0.61 (define @t78 () (not (tptp.irel @t74 @t76))) % 0.36/0.61 (define @t79 () (not (tptp.irel @t37 @t74))) % 0.36/0.61 (define @t80 () (or @t71 @t70)) % 0.36/0.61 (define @t81 () (or @t79 @t78 @t77 @t75 @t73)) % 0.36/0.61 (define @t82 () (or @t81 @t80)) % 0.36/0.61 (define @t83 () (forall (@list @t37 @t74 @t76 @t72 @t69) @t82)) % 0.36/0.61 (define @t84 () (forall (@list @t74 @t76 @t72 @t69) @t82)) % 0.36/0.61 (define @t85 () (forall (@list @t69) @t80)) % 0.36/0.61 (define @t86 () (@list @t7)) % 0.36/0.61 (define @t87 () (forall (@list @t74 @t76 @t72) @t81)) % 0.36/0.61 (define @t88 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 0.36/0.61 (define @t89 () (@var "BOUND_VARIABLE_8109" $$unsorted)) % 0.36/0.61 (define @t90 () (or @t87 @t85)) % 0.36/0.61 (define @t91 () (tptp.b @t7)) % 0.36/0.61 (define @t92 () (not (tptp.irel @t37 @t7))) % 0.36/0.61 (define @t93 () (tptp.a @t88)) % 0.36/0.61 (define @t94 () (not (tptp.irel @t7 @t88))) % 0.36/0.61 (define @t95 () (tptp.b @t89)) % 0.36/0.61 (define @t96 () (not (tptp.irel @t7 @t89))) % 0.36/0.61 (define @t97 () (@list @t7 @t89 @t88)) % 0.36/0.61 (define @t98 () (or (forall @t97 (or @t92 @t96 @t95 @t94 @t93)) (forall @t28 (or @t92 @t91)))) % 0.36/0.61 (define @t99 () (not (tptp.irel @t22 @t7))) % 0.36/0.61 (define @t100 () (forall @t28 (or @t99 @t91))) % 0.36/0.61 (define @t101 () (or @t99 @t96 @t95 @t94 @t93)) % 0.36/0.61 (define @t102 () (forall @t97 @t101)) % 0.36/0.61 (define @t103 () (lambda @t62 (or @t102 @t100))) % 0.36/0.61 (define @t104 () (_ @t103 @t37)) % 0.36/0.61 (define @t105 () (forall @t38 @t104)) % 0.36/0.61 (define @t106 () (_ tptp.b @t7)) % 0.36/0.61 (define @t107 () (or @t99 @t106)) % 0.36/0.61 (define @t108 () (_ tptp.b @t22)) % 0.36/0.61 (define @t109 () (lambda @t62 @t108)) % 0.36/0.61 (define @t110 () (_ @t109 @t7)) % 0.36/0.61 (define @t111 () (or @t99 @t110)) % 0.36/0.61 (define @t112 () (forall @t28 @t111)) % 0.36/0.61 (define @t113 () (or @t102 @t112)) % 0.36/0.61 (define @t114 () (lambda @t62 @t113)) % 0.36/0.61 (define @t115 () (_ @t40 @t7)) % 0.36/0.61 (define @t116 () (forall @t28 (or @t99 @t115))) % 0.36/0.61 (define @t117 () (@list @t40 @t22)) % 0.36/0.61 (define @t118 () (_ @t34 tptp.b)) % 0.36/0.61 (define @t119 () (or @t94 @t93)) % 0.36/0.61 (define @t120 () (or @t96 @t95)) % 0.36/0.61 (define @t121 () (or @t99 @t120 @t119)) % 0.36/0.61 (define @t122 () (forall @t97 @t121)) % 0.36/0.61 (define @t123 () (forall (@list @t89 @t88) @t121)) % 0.36/0.61 (define @t124 () (forall (@list @t88) @t119)) % 0.36/0.61 (define @t125 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 0.36/0.61 (define @t126 () (@list @t125)) % 0.36/0.61 (define @t127 () (forall (@list @t89) @t120)) % 0.36/0.61 (define @t128 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 0.36/0.61 (define @t129 () (@list @t128)) % 0.36/0.61 (define @t130 () (or @t99 @t127 @t124)) % 0.36/0.61 (define @t131 () (tptp.a @t125)) % 0.36/0.61 (define @t132 () (@list @t125)) % 0.36/0.61 (define @t133 () (forall @t132 (or (not (tptp.irel @t7 @t125)) @t131))) % 0.36/0.61 (define @t134 () (tptp.b @t128)) % 0.36/0.61 (define @t135 () (@list @t128)) % 0.36/0.61 (define @t136 () (forall @t135 (or (not (tptp.irel @t7 @t128)) @t134))) % 0.36/0.61 (define @t137 () (or @t99 @t136 @t133)) % 0.36/0.61 (define @t138 () (or @t136 @t133)) % 0.36/0.61 (define @t139 () (tptp.a @t7)) % 0.36/0.61 (define @t140 () (forall @t28 (or @t99 @t139))) % 0.36/0.61 (define @t141 () (or @t100 @t140)) % 0.36/0.61 (define @t142 () (lambda @t62 @t141)) % 0.36/0.61 (define @t143 () (or @t99 (_ @t142 @t7))) % 0.36/0.61 (define @t144 () (forall @t28 @t143)) % 0.36/0.61 (define @t145 () (or @t144 @t116)) % 0.36/0.61 (define @t146 () (lambda @t117 @t145)) % 0.36/0.61 (define @t147 () (_ @t26 @t7)) % 0.36/0.61 (define @t148 () (or (forall @t28 (or @t99 @t147)) @t116)) % 0.36/0.61 (define @t149 () (lambda @t41 @t148)) % 0.36/0.61 (define @t150 () (_ tptp.a @t7)) % 0.36/0.61 (define @t151 () (or @t99 @t150)) % 0.36/0.61 (define @t152 () (lambda @t62 (_ tptp.a @t22))) % 0.36/0.61 (define @t153 () (_ @t152 @t7)) % 0.36/0.61 (define @t154 () (or @t99 @t153)) % 0.36/0.61 (define @t155 () (forall @t28 @t154)) % 0.36/0.61 (define @t156 () (or @t100 @t155)) % 0.36/0.61 (define @t157 () (lambda @t62 @t156)) % 0.36/0.61 (define @t158 () (_ @t34 tptp.a)) % 0.36/0.61 (define @t159 () (or @t112 @t116)) % 0.36/0.61 (define @t160 () (lambda @t117 @t159)) % 0.36/0.61 (define @t161 () (not (tptp.irel @t13 @t7))) % 0.36/0.61 (define @t162 () (forall @t28 (or @t161 @t115))) % 0.36/0.61 (define @t163 () (forall @t28 (or @t161 @t147))) % 0.36/0.61 (define @t164 () (@list @t13)) % 0.36/0.61 (define @t165 () (tptp.irel @t1 @t7)) % 0.36/0.61 (define @t166 () (not @t165)) % 0.36/0.61 (define @t167 () (lambda @t4 (forall @t28 (or @t166 @t115)))) % 0.36/0.61 (define @t168 () (_ @t167 @t13)) % 0.36/0.61 (define @t169 () (or @t163 @t168)) % 0.36/0.61 (define @t170 () (lambda @t164 @t169)) % 0.36/0.61 (define @t171 () (@list @t17 @t13)) % 0.36/0.61 (define @t172 () (forall @t28 (or @t166 @t147))) % 0.36/0.61 (define @t173 () (lambda @t30 @t172)) % 0.36/0.61 (define @t174 () (lambda @t4 @t172)) % 0.36/0.61 (define @t175 () (_ @t174 @t13)) % 0.36/0.61 (define @t176 () (or @t175 @t18)) % 0.36/0.61 (define @t177 () (lambda @t171 @t176)) % 0.36/0.61 (define @t178 () (not @t8)) % 0.36/0.61 (define @t179 () (or @t178 @t27)) % 0.36/0.61 (define @t180 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 0.36/0.61 (define @t181 () (and (tptp.b @t180) (tptp.c @t180))) % 0.36/0.61 (define @t182 () (not (tptp.irel @t37 @t180))) % 0.36/0.61 (define @t183 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 0.36/0.61 (define @t184 () (tptp.a @t183)) % 0.36/0.61 (define @t185 () (not (tptp.irel @t37 @t183))) % 0.36/0.61 (define @t186 () (or @t185 @t184 @t182 @t181)) % 0.36/0.61 (define @t187 () (@list @t37 @t183 @t180)) % 0.36/0.61 (define @t188 () (forall @t187 @t186)) % 0.36/0.61 (define @t189 () (@quantifiers_skolemize @t188 2)) % 0.36/0.61 (define @t190 () (@quantifiers_skolemize @t188 1)) % 0.36/0.61 (define @t191 () (@quantifiers_skolemize @t188 0)) % 0.36/0.61 (define @t192 () (tptp.irel @t1 @t1)) % 0.36/0.61 (define @t193 () (or @t182 @t181)) % 0.36/0.61 (define @t194 () (or @t185 @t184)) % 0.36/0.61 (define @t195 () (or @t194 @t193)) % 0.36/0.61 (define @t196 () (forall @t187 @t195)) % 0.36/0.61 (define @t197 () (forall (@list @t183 @t180) @t195)) % 0.36/0.61 (define @t198 () (forall (@list @t180) @t193)) % 0.36/0.61 (define @t199 () (forall (@list @t183) @t194)) % 0.36/0.61 (define @t200 () (or @t199 @t198)) % 0.36/0.61 (define @t201 () (tptp.c @t7)) % 0.36/0.61 (define @t202 () (and @t91 @t201)) % 0.36/0.61 (define @t203 () (or (forall @t28 (or @t92 @t139)) (forall @t28 (or @t92 @t202)))) % 0.36/0.61 (define @t204 () (lambda @t62 (or @t140 (forall @t28 (or @t99 @t202))))) % 0.36/0.61 (define @t205 () (_ @t204 @t37)) % 0.36/0.61 (define @t206 () (forall @t38 @t205)) % 0.36/0.61 (define @t207 () (_ tptp.c @t7)) % 0.36/0.61 (define @t208 () (and @t106 @t207)) % 0.36/0.61 (define @t209 () (or @t99 @t208)) % 0.36/0.61 (define @t210 () (lambda @t62 (and @t108 @t61))) % 0.36/0.61 (define @t211 () (_ @t210 @t7)) % 0.36/0.61 (define @t212 () (or @t99 @t211)) % 0.36/0.61 (define @t213 () (forall @t28 @t212)) % 0.36/0.61 (define @t214 () (or @t140 @t213)) % 0.36/0.61 (define @t215 () (lambda @t62 @t214)) % 0.36/0.61 (define @t216 () (_ @t63 @t22)) % 0.36/0.61 (define @t217 () (and @t108 @t216)) % 0.36/0.61 (define @t218 () (lambda @t62 @t217)) % 0.36/0.61 (define @t219 () (_ @t40 @t22)) % 0.36/0.61 (define @t220 () (_ @t109 @t22)) % 0.36/0.61 (define @t221 () (and @t220 @t219)) % 0.36/0.61 (define @t222 () (lambda @t117 @t221)) % 0.36/0.61 (define @t223 () (and @t32 @t219)) % 0.36/0.61 (define @t224 () (lambda @t41 @t223)) % 0.36/0.61 (define @t225 () (or @t155 @t116)) % 0.36/0.61 (define @t226 () (lambda @t117 @t225)) % 0.36/0.61 (define @t227 () (_ @t26 @t13)) % 0.36/0.61 (define @t228 () (lambda @t164 (and @t227 (_ @t40 @t13)))) % 0.36/0.61 (define @t229 () (lambda @t171 (and @t227 @t18))) % 0.36/0.61 (define @t230 () (tptp.irel @t191 @t189)) % 0.36/0.61 (define @t231 () (tptp.c @t189)) % 0.36/0.61 (define @t232 () (tptp.b @t189)) % 0.36/0.61 (define @t233 () (and @t232 @t231)) % 0.36/0.61 (define @t234 () (not @t230)) % 0.36/0.61 (define @t235 () (tptp.a @t190)) % 0.36/0.61 (define @t236 () (tptp.irel @t191 @t190)) % 0.36/0.61 (define @t237 () (not @t236)) % 0.36/0.61 (define @t238 () (or @t237 @t235 @t234 @t233)) % 0.36/0.61 (define @t239 () (@list true)) % 0.36/0.61 (define @t240 () (@list @t238)) % 0.36/0.61 (define @t241 () (tptp.irel @t191 @t191)) % 0.36/0.61 (define @t242 () (not @t241)) % 0.36/0.61 (define @t243 () (or @t242 @t234 @t232 @t237 @t235 @t234 @t232)) % 0.36/0.61 (define @t244 () (@list true false)) % 0.36/0.61 (define @t245 () (forall @t38 @t59)) % 0.36/0.61 (assume @p1 @t5) % 0.36/0.61 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.irel @t7) @t6)) (_ @t2 @t6)))) % 0.36/0.61 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.36/0.61 (assume @p4 (_ tptp.ivalid @t9)) % 0.36/0.61 (assume @p5 (_ tptp.ivalid (_ (_ tptp.ior (_ (_ tptp.ior @t10) @t11)) @t10))) % 0.36/0.61 (assume @p6 @t12) % 0.36/0.61 (assume @p7 true) % 0.36/0.61 (step @p8 (= tptp.mnot @t16) :rule refl :args (@t16)) % 0.36/0.61 (step @p9 (= tptp.mor @t20) :rule refl :args (@t20)) % 0.36/0.61 (step @p10 (= tptp.mand @t21) :rule refl :args (@t21)) % 0.36/0.61 (step @p11 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.36/0.61 (step @p12 (= tptp.mbox_s4 @t31) :rule refl :args (@t31)) % 0.36/0.61 (step @p13 (= tptp.iatom @t34) :rule refl :args (@t34)) % 0.36/0.61 (step @p14 (= tptp.inot @t36) :rule refl :args (@t36)) % 0.36/0.61 (step @p15 (= tptp.itrue @t39) :rule refl :args (@t39)) % 0.36/0.61 (step @p16 (= tptp.iand @t42) :rule refl :args (@t42)) % 0.36/0.61 (step @p17 (= tptp.ior @t44) :rule refl :args (@t44)) % 0.36/0.61 (step @p18 (= tptp.iimplies @t45) :rule refl :args (@t45)) % 0.36/0.61 (step @p19 (= tptp.iimplied @t47) :rule refl :args (@t47)) % 0.36/0.61 (step @p20 (= tptp.iequiv @t48) :rule refl :args (@t48)) % 0.36/0.61 (step @p21 (= tptp.ixor @t49) :rule refl :args (@t49)) % 0.36/0.61 (step @p22 (= tptp.ivalid @t54) :rule refl :args (@t54)) % 0.36/0.61 (step @p23 (= tptp.isatisfiable @t55) :rule refl :args (@t55)) % 0.36/0.61 (step @p24 (= tptp.icountersatisfiable @t57) :rule refl :args (@t57)) % 0.36/0.61 (step @p25 (= tptp.iinvalid @t58) :rule refl :args (@t58)) % 0.36/0.61 (step @p26 :rule refl :args (@t59)) % 0.36/0.61 (step @p27 :rule refl :args (@t60)) % 0.36/0.61 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t60 @t59))) % 0.36/0.61 (step @p29 :rule symm :premises (@p28)) % 0.36/0.61 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.36/0.61 (step @p31 :rule cong :premises (@p30) :args ((forall @t38 @t60))) % 0.36/0.61 (step @p32 :rule beta-reduce :args ((= @t64 @t60))) % 0.36/0.61 (step @p33 :rule cong :premises (@p32) :args (@t65)) % 0.36/0.61 (step @p34 :rule trans :premises (@p33 @p31)) % 0.36/0.61 (step @p35 :rule beta-reduce :args ((= (_ @t67 @t63) @t65))) % 0.36/0.61 (step @p36 :rule trans :premises (@p35 @p34)) % 0.36/0.61 (step @p37 :rule beta-reduce :args ((= @t68 @t63))) % 0.36/0.61 (step @p38 :rule refl :args (@t67)) % 0.36/0.61 (step @p39 :rule ho_cong :premises (@p38 @p37)) % 0.36/0.61 (step @p40 :rule trans :premises (@p39 @p36)) % 0.36/0.61 (step @p41 :rule refl :args (tptp.c)) % 0.36/0.61 (step @p42 :rule ho_cong :premises (@p13 @p41)) % 0.36/0.61 (step @p43 :rule refl :args (@t66)) % 0.36/0.61 (step @p44 :rule refl :args (@t51)) % 0.36/0.61 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t51 @t66))) % 0.36/0.61 (step @p46 :rule symm :premises (@p45)) % 0.36/0.61 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.36/0.61 (step @p48 :rule cong :premises (@p47) :args (@t52)) % 0.36/0.61 (step @p49 :rule cong :premises (@p48) :args (@t54)) % 0.36/0.61 (step @p50 :rule trans :premises (@p22 @p49)) % 0.36/0.61 (step @p51 :rule ho_cong :premises (@p50 @p42)) % 0.36/0.61 (step @p52 :rule trans :premises (@p51 @p40)) % 0.36/0.61 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 0.36/0.61 (step @p54 :rule aci_norm :args ((= @t82 (or @t79 @t78 @t77 @t75 @t73 @t71 @t70)))) % 0.36/0.61 (step @p55 :rule cong :premises (@p54) :args (@t83)) % 0.36/0.61 (step @p56 :rule quant-merge-prenex :args ((= (forall @t38 @t84) @t83))) % 0.36/0.61 (step @p57 :rule alpha_equiv :args (@t85 (@list @t69) @t86)) % 0.36/0.61 (step @p58 :rule alpha_equiv :args (@t87 (@list @t74 @t76 @t72) (@list @t7 @t89 @t88))) % 0.36/0.61 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t90)) % 0.36/0.61 (step @p60 :rule quant-miniscope-or :args ((= @t84 @t90))) % 0.36/0.61 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.61 (step @p62 :rule symm :premises (@p61)) % 0.36/0.61 (step @p63 :rule cong :premises (@p62) :args ((forall @t38 @t98))) % 0.36/0.61 (step @p64 :rule trans :premises (@p63 @p56)) % 0.36/0.61 (step @p65 :rule trans :premises (@p64 @p55)) % 0.36/0.61 (step @p66 :rule beta-reduce :args ((= @t104 @t98))) % 0.36/0.61 (step @p67 :rule cong :premises (@p66) :args (@t105)) % 0.36/0.61 (step @p68 :rule trans :premises (@p67 @p65)) % 0.36/0.61 (step @p69 :rule beta-reduce :args ((= (_ @t67 @t103) @t105))) % 0.36/0.61 (step @p70 :rule trans :premises (@p69 @p68)) % 0.36/0.61 (step @p71 :rule refl :args (@t91)) % 0.36/0.61 (step @p72 :rule refl :args (@t106)) % 0.36/0.61 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t106 @t91))) % 0.36/0.61 (step @p74 :rule symm :premises (@p73)) % 0.36/0.61 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.36/0.61 (step @p76 :rule refl :args (@t99)) % 0.36/0.61 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t107)) % 0.36/0.61 (step @p78 :rule cong :premises (@p77) :args ((forall @t28 @t107))) % 0.36/0.61 (step @p79 :rule beta-reduce :args ((= @t110 @t106))) % 0.36/0.61 (step @p80 :rule refl :args (@t99)) % 0.36/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t111)) % 0.36/0.61 (step @p82 :rule cong :premises (@p81) :args (@t112)) % 0.36/0.61 (step @p83 :rule trans :premises (@p82 @p78)) % 0.36/0.61 (step @p84 :rule refl :args (@t102)) % 0.36/0.61 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t113)) % 0.36/0.61 (step @p86 :rule cong :premises (@p85) :args (@t114)) % 0.36/0.61 (step @p87 :rule beta-reduce :args ((= (_ (lambda @t117 (or @t102 @t116)) @t109) @t114))) % 0.36/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.61 (step @p89 :rule beta-reduce :args ((= @t118 @t109))) % 0.36/0.61 (step @p90 :rule refl :args (@t116)) % 0.36/0.61 (step @p91 :rule aci_norm :args ((= @t121 @t101))) % 0.36/0.61 (step @p92 :rule cong :premises (@p91) :args (@t122)) % 0.36/0.61 (step @p93 :rule quant-merge-prenex :args ((= (forall @t28 @t123) @t122))) % 0.36/0.61 (step @p94 :rule alpha_equiv :args (@t124 (@list @t88) @t126)) % 0.36/0.61 (step @p95 :rule alpha_equiv :args (@t127 (@list @t89) @t129)) % 0.36/0.61 (step @p96 :rule nary_cong :premises (@p76 @p95 @p94) :args (@t130)) % 0.36/0.61 (step @p97 :rule quant-miniscope-or :args ((= @t123 @t130))) % 0.36/0.61 (step @p98 :rule trans :premises (@p97 @p96)) % 0.36/0.61 (step @p99 :rule symm :premises (@p98)) % 0.36/0.61 (step @p100 :rule cong :premises (@p99) :args ((forall @t28 @t137))) % 0.36/0.61 (step @p101 :rule trans :premises (@p100 @p93)) % 0.36/0.61 (step @p102 :rule trans :premises (@p101 @p92)) % 0.36/0.61 (step @p103 :rule aci_norm :args ((= (or @t99 @t138) @t137))) % 0.36/0.61 (step @p104 :rule beta-reduce :args ((= (_ (lambda @t62 (or (forall @t135 (or (not (tptp.irel @t22 @t128)) @t134)) (forall @t132 (or (not (tptp.irel @t22 @t125)) @t131)))) @t7) @t138))) % 0.36/0.61 (step @p105 :rule refl :args (@t7)) % 0.36/0.61 (step @p106 :rule alpha_equiv :args (@t140 @t86 @t126)) % 0.36/0.61 (step @p107 :rule alpha_equiv :args (@t100 @t86 @t129)) % 0.36/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t141)) % 0.36/0.61 (step @p109 :rule cong :premises (@p108) :args (@t142)) % 0.36/0.61 (step @p110 :rule ho_cong :premises (@p109 @p105)) % 0.36/0.61 (step @p111 :rule trans :premises (@p110 @p104)) % 0.36/0.61 (step @p112 :rule nary_cong :premises (@p80 @p111) :args (@t143)) % 0.36/0.61 (step @p113 :rule trans :premises (@p112 @p103)) % 0.36/0.61 (step @p114 :rule cong :premises (@p113) :args (@t144)) % 0.36/0.61 (step @p115 :rule trans :premises (@p114 @p102)) % 0.36/0.61 (step @p116 :rule nary_cong :premises (@p115 @p90) :args (@t145)) % 0.36/0.61 (step @p117 :rule cong :premises (@p116) :args (@t146)) % 0.36/0.61 (step @p118 :rule beta-reduce :args ((= (_ @t149 @t142) @t146))) % 0.36/0.61 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.61 (step @p120 :rule refl :args (@t139)) % 0.36/0.61 (step @p121 :rule refl :args (@t150)) % 0.36/0.61 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t150 @t139))) % 0.36/0.61 (step @p123 :rule symm :premises (@p122)) % 0.36/0.61 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.36/0.61 (step @p125 :rule nary_cong :premises (@p76 @p124) :args (@t151)) % 0.36/0.61 (step @p126 :rule cong :premises (@p125) :args ((forall @t28 @t151))) % 0.36/0.61 (step @p127 :rule beta-reduce :args ((= @t153 @t150))) % 0.36/0.61 (step @p128 :rule nary_cong :premises (@p80 @p127) :args (@t154)) % 0.36/0.61 (step @p129 :rule cong :premises (@p128) :args (@t155)) % 0.36/0.61 (step @p130 :rule trans :premises (@p129 @p126)) % 0.36/0.61 (step @p131 :rule refl :args (@t100)) % 0.36/0.61 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t156)) % 0.36/0.61 (step @p133 :rule cong :premises (@p132) :args (@t157)) % 0.36/0.61 (step @p134 :rule beta-reduce :args ((= (_ (lambda @t117 (or @t100 @t116)) @t152) @t157))) % 0.36/0.61 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.61 (step @p136 :rule beta-reduce :args ((= @t158 @t152))) % 0.36/0.61 (step @p137 :rule nary_cong :premises (@p83 @p90) :args (@t159)) % 0.36/0.61 (step @p138 :rule cong :premises (@p137) :args (@t160)) % 0.36/0.61 (step @p139 :rule beta-reduce :args ((= (_ @t149 @t109) @t160))) % 0.36/0.61 (step @p140 :rule trans :premises (@p139 @p138)) % 0.36/0.61 (step @p141 :rule refl :args (@t149)) % 0.36/0.61 (step @p142 :rule ho_cong :premises (@p141 @p89)) % 0.36/0.61 (step @p143 :rule trans :premises (@p142 @p140)) % 0.36/0.61 (step @p144 :rule ho_cong :premises (@p143 @p136)) % 0.36/0.61 (step @p145 :rule trans :premises (@p144 @p135)) % 0.36/0.61 (step @p146 :rule ho_cong :premises (@p141 @p145)) % 0.36/0.61 (step @p147 :rule trans :premises (@p146 @p119)) % 0.36/0.61 (step @p148 :rule ho_cong :premises (@p147 @p89)) % 0.36/0.61 (step @p149 :rule trans :premises (@p148 @p88)) % 0.36/0.61 (step @p150 :rule ho_cong :premises (@p38 @p149)) % 0.36/0.61 (step @p151 :rule trans :premises (@p150 @p70)) % 0.36/0.61 (step @p152 :rule refl :args (tptp.b)) % 0.36/0.61 (step @p153 :rule ho_cong :premises (@p13 @p152)) % 0.36/0.61 (step @p154 :rule refl :args (tptp.a)) % 0.36/0.61 (step @p155 :rule ho_cong :premises (@p13 @p154)) % 0.36/0.61 (step @p156 :rule beta-reduce :args ((= (_ (lambda @t164 (or @t163 @t162)) @t22) @t148))) % 0.36/0.61 (step @p157 :rule refl :args (@t22)) % 0.36/0.61 (step @p158 :rule beta-reduce :args ((= @t168 @t162))) % 0.36/0.61 (step @p159 :rule refl :args (@t163)) % 0.36/0.61 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t169)) % 0.36/0.61 (step @p161 :rule cong :premises (@p160) :args (@t170)) % 0.36/0.61 (step @p162 :rule beta-reduce :args ((= (_ (lambda @t171 (or @t163 @t18)) @t167) @t170))) % 0.36/0.61 (step @p163 :rule trans :premises (@p162 @p161)) % 0.36/0.61 (step @p164 :rule beta-reduce :args ((= (_ @t173 @t40) @t167))) % 0.36/0.61 (step @p165 :rule refl :args (@t18)) % 0.36/0.61 (step @p166 :rule beta-reduce :args ((= @t175 @t163))) % 0.36/0.61 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t176)) % 0.36/0.61 (step @p168 :rule cong :premises (@p167) :args (@t177)) % 0.36/0.61 (step @p169 :rule beta-reduce :args ((= (_ @t20 @t174) @t177))) % 0.36/0.61 (step @p170 :rule trans :premises (@p169 @p168)) % 0.36/0.61 (step @p171 :rule beta-reduce :args ((= (_ @t173 @t26) @t174))) % 0.36/0.61 (step @p172 :rule refl :args (@t20)) % 0.36/0.61 (step @p173 :rule ho_cong :premises (@p172 @p171)) % 0.36/0.61 (step @p174 :rule trans :premises (@p173 @p170)) % 0.36/0.61 (step @p175 :rule ho_cong :premises (@p174 @p164)) % 0.36/0.61 (step @p176 :rule trans :premises (@p175 @p163)) % 0.36/0.61 (step @p177 :rule ho_cong :premises (@p176 @p157)) % 0.36/0.61 (step @p178 :rule trans :premises (@p177 @p156)) % 0.36/0.61 (step @p179 :rule refl :args (@t40)) % 0.36/0.61 (step @p180 :rule refl :args (@t147)) % 0.36/0.61 (step @p181 :rule refl :args (@t27)) % 0.36/0.61 (step @p182 :rule cong :premises (@p181 @p180) :args ((= @t27 @t147))) % 0.36/0.61 (step @p183 :rule symm :premises (@p182)) % 0.36/0.61 (step @p184 :rule eq_resolve :premises (@p181 @p183)) % 0.36/0.61 (step @p185 :rule refl :args (@t165)) % 0.36/0.61 (step @p186 :rule refl :args (@t8)) % 0.36/0.61 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t8 @t165))) % 0.36/0.61 (step @p188 :rule symm :premises (@p187)) % 0.36/0.61 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0.36/0.61 (step @p263 :rule refl :args (@t219)) % 0.36/0.61 (step @p264 :rule beta-reduce :args ((= @t220 @t108))) % 0.36/0.61 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t221)) % 0.36/0.61 (step @p266 :rule cong :premises (@p265) :args (@t222)) % 0.36/0.61 (step @p267 :rule beta-reduce :args ((= (_ @t224 @t109) @t222))) % 0.36/0.61 (step @p268 :rule trans :premises (@p267 @p266)) % 0.36/0.61 (step @p269 :rule refl :args (@t224)) % 0.36/0.61 (step @p270 :rule ho_cong :premises (@p269 @p89)) % 0.36/0.61 (step @p271 :rule trans :premises (@p270 @p268)) % 0.36/0.61 (step @p272 :rule ho_cong :premises (@p271 @p37)) % 0.36/0.61 (step @p273 :rule trans :premises (@p272 @p262)) % 0.36/0.61 (step @p274 :rule nary_cong :premises (@p130 @p90) :args (@t225)) % 0.36/0.61 (step @p275 :rule cong :premises (@p274) :args (@t226)) % 0.36/0.61 (step @p276 :rule beta-reduce :args ((= (_ @t149 @t152) @t226))) % 0.36/0.61 (step @p277 :rule trans :premises (@p276 @p275)) % 0.36/0.61 (step @p278 :rule ho_cong :premises (@p141 @p136)) % 0.36/0.61 (step @p279 :rule trans :premises (@p278 @p277)) % 0.36/0.61 (step @p280 :rule ho_cong :premises (@p279 @p273)) % 0.36/0.61 (step @p281 :rule trans :premises (@p280 @p256)) % 0.36/0.61 (step @p282 :rule ho_cong :premises (@p38 @p281)) % 0.36/0.61 (step @p283 :rule trans :premises (@p282 @p239)) % 0.36/0.61 (step @p284 :rule cong :premises (@p283) :args ((not (_ @t67 (_ (_ @t149 @t158) (_ (_ @t224 @t118) @t68)))))) % 0.36/0.61 (step @p285 :rule beta-reduce :args ((= (_ @t228 @t22) @t223))) % 0.36/0.61 (step @p286 :rule beta-reduce :args ((= (_ @t229 @t40) @t228))) % 0.36/0.61 (step @p287 :rule beta-reduce :args ((= (_ @t21 @t26) @t229))) % 0.36/0.61 (step @p288 :rule ho_cong :premises (@p287 @p179)) % 0.36/0.61 (step @p289 :rule trans :premises (@p288 @p286)) % 0.36/0.61 (step @p290 :rule ho_cong :premises (@p289 @p157)) % 0.36/0.61 (step @p291 :rule trans :premises (@p290 @p285)) % 0.36/0.61 (step @p292 :rule ho_cong :premises (@p10 @p199)) % 0.36/0.61 (step @p293 :rule ho_cong :premises (@p292 @p179)) % 0.36/0.61 (step @p294 :rule ho_cong :premises (@p293 @p157)) % 0.36/0.61 (step @p295 :rule trans :premises (@p294 @p291)) % 0.36/0.61 (step @p296 :rule cong :premises (@p295) :args (@t42)) % 0.36/0.61 (step @p297 :rule trans :premises (@p16 @p296)) % 0.36/0.61 (step @p298 :rule ho_cong :premises (@p297 @p153)) % 0.36/0.61 (step @p299 :rule ho_cong :premises (@p298 @p42)) % 0.36/0.61 (step @p300 :rule ho_cong :premises (@p206 @p155)) % 0.36/0.61 (step @p301 :rule ho_cong :premises (@p300 @p299)) % 0.36/0.61 (step @p302 :rule ho_cong :premises (@p50 @p301)) % 0.36/0.61 (step @p303 :rule cong :premises (@p302) :args (@t12)) % 0.36/0.61 (step @p304 :rule trans :premises (@p303 @p284)) % 0.36/0.61 (step @p305 :rule eq_resolve :premises (@p6 @p304)) % 0.36/0.61 (step @p306 :rule skolemize :premises (@p305)) % 0.36/0.61 (step @p307 :rule bool-double-not-elim :args (@t230)) % 0.36/0.61 (step @p308 :rule refl :args (@t238)) % 0.36/0.61 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t238 (not @t234)))) % 0.36/0.61 (step @p310 :rule cnf_or_neg :args (@t238 2)) % 0.36/0.61 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 0.36/0.61 (step @p312 :rule reordering :premises (@p311) :args ((or @t230 @t238))) % 0.36/0.61 (step @p313 :rule chain_m_resolution :premises (@p312 @p306) :args (@t230 @t239 @t240)) % 0.36/0.61 (step @p314 :rule cnf_or_neg :args (@t238 1)) % 0.36/0.61 (step @p315 :rule chain_m_resolution :premises (@p314 @p306) :args ((not @t235) @t239 @t240)) % 0.36/0.61 (step @p316 :rule bool-double-not-elim :args (@t236)) % 0.36/0.61 (step @p317 :rule nary_cong :premises (@p308 @p316) :args ((or @t238 (not @t237)))) % 0.36/0.61 (step @p318 :rule cnf_or_neg :args (@t238 0)) % 0.36/0.61 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 0.36/0.61 (step @p320 :rule reordering :premises (@p319) :args ((or @t236 @t238))) % 0.36/0.61 (step @p321 :rule chain_m_resolution :premises (@p320 @p306) :args (@t236 @t239 @t240)) % 0.36/0.61 (step @p322 :rule cnf_or_pos :args (@t243)) % 0.36/0.61 (step @p323 :rule factoring :premises (@p322)) % 0.36/0.61 (step @p324 :rule reordering :premises (@p323) :args ((or @t237 @t235 @t234 @t232 @t242 (not @t243)))) % 0.36/0.61 (step @p325 :rule chain_m_resolution :premises (@p324 @p321 @p315 @p313 @p222 @p214) :args (@t232 (@list false true false false false) (@list @t236 @t235 @t230 @t241 @t243))) % 0.36/0.61 (step @p326 :rule cnf_or_neg :args (@t238 3)) % 0.36/0.61 (step @p327 :rule chain_m_resolution :premises (@p326 @p306) :args ((not @t233) @t239 @t240)) % 0.36/0.62 (step @p328 :rule cnf_and_neg :args (@t233)) % 0.36/0.62 (step @p329 :rule chain_m_resolution :premises (@p328 @p327 @p325) :args ((not @t231) @t244 (@list @t233 @t232))) % 0.36/0.62 (assume-push @p336 @t245) % 0.36/0.62 (step @p331 :rule instantiate :premises (@p53) :args ((@list @t189))) % 0.36/0.62 (step-pop @p337 :rule scope :premises (@p331)) % 0.36/0.62 (step @p332 :rule process_scope :premises (@p337) :args (@t231)) % 0.36/0.62 (step @p334 :rule implies_elim :premises (@p332)) % 0.36/0.62 (step @p335 false :rule chain_m_resolution :premises (@p334 @p329 @p53) :args (false @t244 (@list @t231 @t245))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------