%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO062^4.002 : 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 : n025.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 09:11:54 AM UTC 2026 % Result : Theorem 0.63s 0.85s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO062^4.002 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:53:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.63/0.85 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.85 % SZS status Theorem % 0.63/0.85 % SZS output start Proof % 0.63/0.85 ( % 0.63/0.85 (declare-sort $$unsorted 0) % 0.63/0.85 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.63/0.85 (declare-const tptp.a (-> $$unsorted Bool)) % 0.63/0.85 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.63/0.85 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.63/0.85 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.63/0.85 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.85 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.85 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.63/0.85 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.63/0.85 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.63/0.85 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.63/0.85 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.63/0.85 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.85 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.63/0.85 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.85 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.63/0.85 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.85 (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)))))) % 0.63/0.85 (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)))))) % 0.63/0.85 (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))))))) % 0.63/0.85 (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))))))) % 0.63/0.85 (define @t1 () (@var "X" $$unsorted)) % 0.63/0.85 (define @t2 () (_ tptp.irel @t1)) % 0.63/0.85 (define @t3 () (_ @t2 @t1)) % 0.63/0.85 (define @t4 () (@list @t1)) % 0.63/0.85 (define @t5 () (forall @t4 @t3)) % 0.63/0.85 (define @t6 () (@var "Z" $$unsorted)) % 0.63/0.85 (define @t7 () (_ @t2 @t6)) % 0.63/0.85 (define @t8 () (@var "Y" $$unsorted)) % 0.63/0.85 (define @t9 () (_ (_ tptp.irel @t8) @t6)) % 0.63/0.85 (define @t10 () (_ @t2 @t8)) % 0.63/0.85 (define @t11 () (and @t10 @t9)) % 0.63/0.85 (define @t12 () (@list @t1 @t8 @t6)) % 0.63/0.85 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.63/0.85 (define @t14 () (_ tptp.iatom tptp.a)) % 0.63/0.85 (define @t15 () (not (_ tptp.ivalid (_ tptp.inot (_ tptp.inot (_ (_ tptp.ior @t14) (_ tptp.inot @t14))))))) % 0.63/0.85 (define @t16 () (@var "U" $$unsorted)) % 0.63/0.85 (define @t17 () (@var "X" (-> $$unsorted Bool))) % 0.63/0.85 (define @t18 () (_ @t17 @t16)) % 0.63/0.85 (define @t19 () (lambda (@list @t17 @t16) (not @t18))) % 0.63/0.85 (define @t20 () (@var "Y" (-> $$unsorted Bool))) % 0.63/0.85 (define @t21 () (_ @t20 @t16)) % 0.63/0.85 (define @t22 () (@list @t17 @t20 @t16)) % 0.63/0.85 (define @t23 () (lambda @t22 (or @t18 @t21))) % 0.63/0.85 (define @t24 () (lambda @t22 (and @t18 @t21))) % 0.63/0.85 (define @t25 () (@var "__flatten_var_0" $$unsorted)) % 0.63/0.85 (define @t26 () (@var "V" (-> $$unsorted Bool))) % 0.63/0.85 (define @t27 () (@var "U" (-> $$unsorted Bool))) % 0.63/0.85 (define @t28 () (lambda (@list @t27 @t26 @t25) (_ (_ (_ tptp.mor (_ tptp.mnot @t27)) @t26) @t25))) % 0.63/0.85 (define @t29 () (@var "P" (-> $$unsorted Bool))) % 0.63/0.85 (define @t30 () (_ @t29 @t8)) % 0.63/0.85 (define @t31 () (@list @t8)) % 0.63/0.85 (define @t32 () (forall @t31 (=> @t10 @t30))) % 0.63/0.85 (define @t33 () (@list @t29 @t1)) % 0.63/0.85 (define @t34 () (lambda @t33 @t32)) % 0.63/0.85 (define @t35 () (@list @t29 @t25)) % 0.63/0.85 (define @t36 () (lambda @t35 (_ @t29 @t25))) % 0.63/0.85 (define @t37 () (_ tptp.mbox_s4 @t29)) % 0.63/0.85 (define @t38 () (lambda @t35 (_ (_ tptp.mnot @t37) @t25))) % 0.63/0.85 (define @t39 () (@var "W" $$unsorted)) % 0.63/0.85 (define @t40 () (@list @t39)) % 0.63/0.85 (define @t41 () (lambda @t40 true)) % 0.63/0.85 (define @t42 () (@var "Q" (-> $$unsorted Bool))) % 0.63/0.85 (define @t43 () (@list @t29 @t42 @t25)) % 0.63/0.85 (define @t44 () (lambda @t43 (_ (_ (_ tptp.mand @t29) @t42) @t25))) % 0.63/0.85 (define @t45 () (_ tptp.mbox_s4 @t42)) % 0.63/0.85 (define @t46 () (lambda @t43 (_ (_ (_ tptp.mor @t37) @t45) @t25))) % 0.63/0.85 (define @t47 () (lambda @t43 (_ (_ (_ tptp.mimplies @t37) @t45) @t25))) % 0.63/0.85 (define @t48 () (_ (_ tptp.iimplies @t42) @t29)) % 0.63/0.85 (define @t49 () (lambda @t43 (_ @t48 @t25))) % 0.63/0.85 (define @t50 () (lambda @t43 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t29) @t42)) @t48) @t25))) % 0.63/0.85 (define @t51 () (lambda @t43 (_ (_ tptp.inot (_ (_ tptp.iequiv @t29) @t42)) @t25))) % 0.63/0.85 (define @t52 () (@var "Phi" (-> $$unsorted Bool))) % 0.63/0.85 (define @t53 () (_ @t52 @t39)) % 0.63/0.85 (define @t54 () (forall @t40 @t53)) % 0.63/0.85 (define @t55 () (@list @t52)) % 0.63/0.85 (define @t56 () (lambda @t55 @t54)) % 0.63/0.85 (define @t57 () (lambda @t55 (exists @t40 @t53))) % 0.63/0.85 (define @t58 () (not @t53)) % 0.63/0.85 (define @t59 () (lambda @t55 (exists @t40 @t58))) % 0.63/0.85 (define @t60 () (lambda @t55 (forall @t40 @t58))) % 0.63/0.85 (define @t61 () (tptp.irel @t1 @t6)) % 0.63/0.85 (define @t62 () (tptp.irel @t8 @t6)) % 0.63/0.85 (define @t63 () (not @t9)) % 0.63/0.85 (define @t64 () (tptp.irel @t1 @t8)) % 0.63/0.85 (define @t65 () (not @t10)) % 0.63/0.85 (define @t66 () (or @t65 @t63 @t7)) % 0.63/0.85 (define @t67 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 0.63/0.85 (define @t68 () (tptp.a @t67)) % 0.63/0.85 (define @t69 () (@var "BOUND_VARIABLE_8114" $$unsorted)) % 0.63/0.85 (define @t70 () (@list @t67)) % 0.63/0.85 (define @t71 () (not (forall @t70 (or (not (tptp.irel @t69 @t67)) @t68)))) % 0.63/0.85 (define @t72 () (@var "BOUND_VARIABLE_8137" $$unsorted)) % 0.63/0.85 (define @t73 () (not (tptp.irel @t72 @t69))) % 0.63/0.85 (define @t74 () (@var "BOUND_VARIABLE_8108" $$unsorted)) % 0.63/0.85 (define @t75 () (tptp.a @t74)) % 0.63/0.85 (define @t76 () (not (tptp.irel @t72 @t74))) % 0.63/0.85 (define @t77 () (@list @t72 @t74 @t69)) % 0.63/0.85 (define @t78 () (not (forall @t77 (or (not (tptp.irel @t8 @t72)) @t76 @t75 @t73 @t71)))) % 0.63/0.85 (define @t79 () (not (forall @t31 (or (not (tptp.irel @t39 @t8)) @t78)))) % 0.63/0.85 (define @t80 () (not (tptp.irel @t25 @t8))) % 0.63/0.85 (define @t81 () (@list @t25)) % 0.63/0.85 (define @t82 () (lambda @t81 (not (forall @t31 (or @t80 @t78))))) % 0.63/0.85 (define @t83 () (_ @t82 @t39)) % 0.63/0.85 (define @t84 () (forall @t40 @t83)) % 0.63/0.85 (define @t85 () (_ @t52 @t39)) % 0.63/0.85 (define @t86 () (lambda @t55 (forall @t40 @t85))) % 0.63/0.85 (define @t87 () (not (tptp.irel @t8 @t69))) % 0.63/0.85 (define @t88 () (not (tptp.irel @t8 @t74))) % 0.63/0.85 (define @t89 () (or @t80 @t88 @t75 @t87 @t71)) % 0.63/0.85 (define @t90 () (@list @t8 @t74 @t69)) % 0.63/0.85 (define @t91 () (forall @t90 @t89)) % 0.63/0.85 (define @t92 () (@list @t8)) % 0.63/0.85 (define @t93 () (not @t91)) % 0.63/0.85 (define @t94 () (lambda @t81 @t93)) % 0.63/0.85 (define @t95 () (or @t80 (_ @t94 @t8))) % 0.63/0.85 (define @t96 () (forall @t31 @t95)) % 0.63/0.85 (define @t97 () (not @t96)) % 0.63/0.85 (define @t98 () (lambda @t81 @t97)) % 0.63/0.85 (define @t99 () (_ @t29 @t8)) % 0.63/0.85 (define @t100 () (forall @t31 (or @t80 @t99))) % 0.63/0.85 (define @t101 () (not @t100)) % 0.63/0.85 (define @t102 () (lambda @t35 @t101)) % 0.63/0.85 (define @t103 () (or @t87 @t71)) % 0.63/0.85 (define @t104 () (or @t88 @t75)) % 0.63/0.85 (define @t105 () (or @t80 @t104 @t103)) % 0.63/0.85 (define @t106 () (forall @t90 @t105)) % 0.63/0.85 (define @t107 () (forall (@list @t74 @t69) @t105)) % 0.63/0.85 (define @t108 () (forall (@list @t69) @t103)) % 0.63/0.85 (define @t109 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.63/0.85 (define @t110 () (@list @t109)) % 0.63/0.85 (define @t111 () (forall (@list @t74) @t104)) % 0.63/0.85 (define @t112 () (@var "BOUND_VARIABLE_8085" $$unsorted)) % 0.63/0.85 (define @t113 () (@list @t112)) % 0.63/0.85 (define @t114 () (or @t80 @t111 @t108)) % 0.63/0.85 (define @t115 () (not (forall @t70 (or (not (tptp.irel @t109 @t67)) @t68)))) % 0.63/0.85 (define @t116 () (@list @t109)) % 0.63/0.85 (define @t117 () (forall @t116 (or (not (tptp.irel @t8 @t109)) @t115))) % 0.63/0.85 (define @t118 () (tptp.a @t112)) % 0.63/0.85 (define @t119 () (@list @t112)) % 0.63/0.85 (define @t120 () (forall @t119 (or (not (tptp.irel @t8 @t112)) @t118))) % 0.63/0.85 (define @t121 () (or @t80 @t120 @t117)) % 0.63/0.85 (define @t122 () (or @t120 @t117)) % 0.63/0.85 (define @t123 () (not (forall @t70 (or (not (tptp.irel @t8 @t67)) @t68)))) % 0.63/0.85 (define @t124 () (forall @t31 (or @t80 @t123))) % 0.63/0.85 (define @t125 () (tptp.a @t8)) % 0.63/0.85 (define @t126 () (forall @t31 (or @t80 @t125))) % 0.63/0.85 (define @t127 () (or @t126 @t124)) % 0.63/0.85 (define @t128 () (lambda @t81 @t127)) % 0.63/0.85 (define @t129 () (or @t80 (_ @t128 @t8))) % 0.63/0.85 (define @t130 () (forall @t31 @t129)) % 0.63/0.85 (define @t131 () (not @t130)) % 0.63/0.85 (define @t132 () (lambda @t81 @t131)) % 0.63/0.85 (define @t133 () (not @t126)) % 0.63/0.85 (define @t134 () (lambda @t81 @t133)) % 0.63/0.85 (define @t135 () (or @t80 (_ @t134 @t8))) % 0.63/0.85 (define @t136 () (forall @t31 @t135)) % 0.63/0.85 (define @t137 () (or @t126 @t136)) % 0.63/0.85 (define @t138 () (lambda @t81 @t137)) % 0.63/0.85 (define @t139 () (_ @t42 @t8)) % 0.63/0.85 (define @t140 () (forall @t31 (or @t80 @t139))) % 0.63/0.85 (define @t141 () (@list @t42 @t25)) % 0.63/0.85 (define @t142 () (_ tptp.a @t8)) % 0.63/0.85 (define @t143 () (or @t80 @t142)) % 0.63/0.85 (define @t144 () (lambda @t81 (_ tptp.a @t25))) % 0.63/0.85 (define @t145 () (_ @t144 @t8)) % 0.63/0.85 (define @t146 () (or @t80 @t145)) % 0.63/0.85 (define @t147 () (forall @t31 @t146)) % 0.63/0.85 (define @t148 () (not @t147)) % 0.63/0.85 (define @t149 () (lambda @t81 @t148)) % 0.63/0.85 (define @t150 () (_ @t36 tptp.a)) % 0.63/0.85 (define @t151 () (or @t147 @t140)) % 0.63/0.85 (define @t152 () (lambda @t141 @t151)) % 0.63/0.85 (define @t153 () (or @t100 @t140)) % 0.63/0.85 (define @t154 () (lambda @t43 @t153)) % 0.63/0.85 (define @t155 () (not (tptp.irel @t16 @t8))) % 0.63/0.85 (define @t156 () (forall @t31 (or @t155 @t99))) % 0.63/0.85 (define @t157 () (@list @t16)) % 0.63/0.85 (define @t158 () (not @t64)) % 0.63/0.85 (define @t159 () (forall @t31 (or @t158 @t99))) % 0.63/0.85 (define @t160 () (lambda @t4 @t159)) % 0.63/0.85 (define @t161 () (_ @t160 @t16)) % 0.63/0.85 (define @t162 () (not @t161)) % 0.63/0.85 (define @t163 () (lambda @t157 @t162)) % 0.63/0.85 (define @t164 () (lambda @t33 @t159)) % 0.63/0.85 (define @t165 () (or @t65 @t30)) % 0.63/0.85 (define @t166 () (forall @t31 (or @t155 @t139))) % 0.63/0.85 (define @t167 () (lambda @t4 (forall @t31 (or @t158 @t139)))) % 0.63/0.85 (define @t168 () (_ @t167 @t16)) % 0.63/0.85 (define @t169 () (or @t156 @t168)) % 0.63/0.85 (define @t170 () (lambda @t157 @t169)) % 0.63/0.85 (define @t171 () (@list @t20 @t16)) % 0.63/0.85 (define @t172 () (or @t161 @t21)) % 0.63/0.85 (define @t173 () (lambda @t171 @t172)) % 0.63/0.85 (define @t174 () (forall @t40 @t79)) % 0.63/0.85 (define @t175 () (@quantifiers_skolemize @t174 0)) % 0.63/0.85 (define @t176 () (forall @t31 (or (not (tptp.irel @t175 @t8)) @t78))) % 0.63/0.85 (define @t177 () (not @t174)) % 0.63/0.85 (define @t178 () (not (not @t176))) % 0.63/0.85 (define @t179 () (@list true)) % 0.63/0.85 (define @t180 () (@list @t175)) % 0.63/0.85 (define @t181 () (tptp.irel @t1 @t1)) % 0.63/0.85 (define @t182 () (forall @t77 (or (not (tptp.irel @t175 @t72)) @t76 @t75 @t73 @t71))) % 0.63/0.85 (define @t183 () (not @t182)) % 0.63/0.85 (define @t184 () (tptp.irel @t175 @t175)) % 0.63/0.85 (define @t185 () (not @t184)) % 0.63/0.85 (define @t186 () (or @t185 @t183)) % 0.63/0.85 (define @t187 () (@list false false)) % 0.63/0.85 (define @t188 () (@quantifiers_skolemize @t182 2)) % 0.63/0.85 (define @t189 () (forall @t70 (or (not (tptp.irel @t188 @t67)) @t68))) % 0.63/0.85 (define @t190 () (not @t189)) % 0.63/0.85 (define @t191 () (@quantifiers_skolemize @t182 0)) % 0.63/0.85 (define @t192 () (tptp.irel @t191 @t188)) % 0.63/0.85 (define @t193 () (not @t192)) % 0.63/0.85 (define @t194 () (@quantifiers_skolemize @t182 1)) % 0.63/0.85 (define @t195 () (tptp.irel @t175 @t191)) % 0.63/0.85 (define @t196 () (not @t195)) % 0.63/0.85 (define @t197 () (or @t196 (not (tptp.irel @t191 @t194)) (tptp.a @t194) @t193 @t190)) % 0.63/0.85 (define @t198 () (@list @t197)) % 0.63/0.85 (define @t199 () (forall @t77 (or (not (tptp.irel @t188 @t72)) @t76 @t75 @t73 @t71))) % 0.63/0.85 (define @t200 () (@quantifiers_skolemize @t199 1)) % 0.63/0.85 (define @t201 () (tptp.irel @t175 @t188)) % 0.63/0.85 (define @t202 () (or @t196 @t193 @t201)) % 0.63/0.85 (define @t203 () (not @t199)) % 0.63/0.85 (define @t204 () (not @t201)) % 0.63/0.85 (define @t205 () (or @t204 @t203)) % 0.63/0.85 (define @t206 () (@quantifiers_skolemize @t199 2)) % 0.63/0.85 (define @t207 () (@quantifiers_skolemize @t199 0)) % 0.63/0.85 (define @t208 () (tptp.a @t200)) % 0.63/0.85 (define @t209 () (tptp.irel @t207 @t200)) % 0.63/0.85 (define @t210 () (not @t209)) % 0.63/0.85 (define @t211 () (tptp.irel @t188 @t207)) % 0.63/0.85 (define @t212 () (not @t211)) % 0.63/0.85 (define @t213 () (or @t212 @t210 @t208 (not (tptp.irel @t207 @t206)) (not (forall @t70 (or (not (tptp.irel @t206 @t67)) @t68))))) % 0.63/0.85 (define @t214 () (@list @t213)) % 0.63/0.85 (define @t215 () (tptp.irel @t188 @t200)) % 0.63/0.85 (define @t216 () (not @t215)) % 0.63/0.85 (define @t217 () (or @t216 @t208)) % 0.63/0.85 (define @t218 () (@list true false)) % 0.63/0.85 (define @t219 () (or @t212 @t210 @t215)) % 0.63/0.85 (define @t220 () (not @t219)) % 0.63/0.85 (define @t221 () (forall @t12 (or @t158 (not @t62) @t61))) % 0.63/0.85 (assume @p1 @t5) % 0.63/0.85 (assume @p2 @t13) % 0.63/0.85 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.63/0.85 (assume @p4 @t15) % 0.63/0.85 (assume @p5 true) % 0.63/0.85 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.63/0.85 (step @p7 (= tptp.mor @t23) :rule refl :args (@t23)) % 0.63/0.85 (step @p8 (= tptp.mand @t24) :rule refl :args (@t24)) % 0.63/0.85 (step @p9 (= tptp.mimplies @t28) :rule refl :args (@t28)) % 0.63/0.85 (step @p10 (= tptp.mbox_s4 @t34) :rule refl :args (@t34)) % 0.63/0.85 (step @p11 (= tptp.iatom @t36) :rule refl :args (@t36)) % 0.63/0.85 (step @p12 (= tptp.inot @t38) :rule refl :args (@t38)) % 0.63/0.85 (step @p13 (= tptp.itrue @t41) :rule refl :args (@t41)) % 0.63/0.85 (step @p14 (= tptp.iand @t44) :rule refl :args (@t44)) % 0.63/0.85 (step @p15 (= tptp.ior @t46) :rule refl :args (@t46)) % 0.63/0.85 (step @p16 (= tptp.iimplies @t47) :rule refl :args (@t47)) % 0.63/0.85 (step @p17 (= tptp.iimplied @t49) :rule refl :args (@t49)) % 0.63/0.85 (step @p18 (= tptp.iequiv @t50) :rule refl :args (@t50)) % 0.63/0.85 (step @p19 (= tptp.ixor @t51) :rule refl :args (@t51)) % 0.63/0.85 (step @p20 (= tptp.ivalid @t56) :rule refl :args (@t56)) % 0.63/0.85 (step @p21 (= tptp.isatisfiable @t57) :rule refl :args (@t57)) % 0.63/0.85 (step @p22 (= tptp.icountersatisfiable @t59) :rule refl :args (@t59)) % 0.63/0.85 (step @p23 (= tptp.iinvalid @t60) :rule refl :args (@t60)) % 0.63/0.85 (step @p24 :rule refl :args (@t61)) % 0.63/0.85 (step @p25 :rule refl :args (@t7)) % 0.63/0.85 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t7 @t61))) % 0.63/0.85 (step @p27 :rule symm :premises (@p26)) % 0.63/0.85 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.63/0.85 (step @p29 :rule refl :args (@t62)) % 0.63/0.85 (step @p30 :rule refl :args (@t9)) % 0.63/0.85 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t9 @t62))) % 0.63/0.85 (step @p32 :rule symm :premises (@p31)) % 0.63/0.85 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.63/0.85 (step @p34 :rule cong :premises (@p33) :args (@t63)) % 0.63/0.85 (step @p35 :rule refl :args (@t64)) % 0.63/0.85 (step @p36 :rule refl :args (@t10)) % 0.63/0.85 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t10 @t64))) % 0.63/0.85 (step @p38 :rule symm :premises (@p37)) % 0.63/0.85 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.63/0.85 (step @p40 :rule cong :premises (@p39) :args (@t65)) % 0.63/0.85 (step @p41 :rule nary_cong :premises (@p40 @p34 @p28) :args (@t66)) % 0.63/0.85 (step @p42 :rule cong :premises (@p41) :args ((forall @t12 @t66))) % 0.63/0.85 (step @p43 :rule aci_norm :args ((= (or (or @t65 @t63) @t7) @t66))) % 0.63/0.85 (step @p44 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.63/0.85 (step @p45 :rule nary_cong :premises (@p44 @p25) :args ((or (not @t11) @t7))) % 0.63/0.85 (step @p46 :rule trans :premises (@p45 @p43)) % 0.63/0.85 (step @p47 :rule bool-impl-elim :args (@t11 @t7)) % 0.63/0.85 (step @p48 :rule trans :premises (@p47 @p46)) % 0.63/0.85 (step @p49 :rule cong :premises (@p48) :args (@t13)) % 0.63/0.85 (step @p50 :rule trans :premises (@p49 @p42)) % 0.63/0.85 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.63/0.85 (step @p52 :rule beta-reduce :args ((= @t83 @t79))) % 0.63/0.85 (step @p53 :rule cong :premises (@p52) :args (@t84)) % 0.63/0.85 (step @p54 :rule beta-reduce :args ((= (_ @t86 @t82) @t84))) % 0.63/0.85 (step @p55 :rule trans :premises (@p54 @p53)) % 0.63/0.85 (step @p56 :rule beta-reduce :args ((= (_ (lambda @t81 (not (forall @t77 (or (not (tptp.irel @t25 @t72)) @t76 @t75 @t73 @t71)))) @t8) @t78))) % 0.63/0.85 (step @p57 :rule refl :args (@t8)) % 0.63/0.85 (step @p58 :rule alpha_equiv :args (@t91 @t92 (@list @t72))) % 0.63/0.85 (step @p59 :rule cong :premises (@p58) :args (@t93)) % 0.63/0.85 (step @p60 :rule cong :premises (@p59) :args (@t94)) % 0.63/0.85 (step @p61 :rule ho_cong :premises (@p60 @p57)) % 0.63/0.85 (step @p62 :rule trans :premises (@p61 @p56)) % 0.63/0.85 (step @p63 :rule refl :args (@t80)) % 0.63/0.85 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t95)) % 0.63/0.85 (step @p65 :rule cong :premises (@p64) :args (@t96)) % 0.63/0.85 (step @p66 :rule cong :premises (@p65) :args (@t97)) % 0.63/0.85 (step @p67 :rule cong :premises (@p66) :args (@t98)) % 0.63/0.85 (step @p68 :rule beta-reduce :args ((= (_ @t102 @t94) @t98))) % 0.63/0.85 (step @p69 :rule trans :premises (@p68 @p67)) % 0.63/0.85 (step @p70 :rule aci_norm :args ((= @t105 @t89))) % 0.63/0.85 (step @p71 :rule cong :premises (@p70) :args (@t106)) % 0.63/0.85 (step @p72 :rule quant-merge-prenex :args ((= (forall @t31 @t107) @t106))) % 0.63/0.85 (step @p73 :rule alpha_equiv :args (@t108 (@list @t69) @t110)) % 0.63/0.85 (step @p74 :rule alpha_equiv :args (@t111 (@list @t74) @t113)) % 0.63/0.85 (step @p75 :rule refl :args (@t80)) % 0.63/0.85 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t114)) % 0.63/0.85 (step @p77 :rule quant-miniscope-or :args ((= @t107 @t114))) % 0.63/0.85 (step @p78 :rule trans :premises (@p77 @p76)) % 0.63/0.85 (step @p79 :rule symm :premises (@p78)) % 0.63/0.85 (step @p80 :rule cong :premises (@p79) :args ((forall @t31 @t121))) % 0.63/0.85 (step @p81 :rule trans :premises (@p80 @p72)) % 0.63/0.85 (step @p82 :rule trans :premises (@p81 @p71)) % 0.63/0.85 (step @p83 :rule aci_norm :args ((= (or @t80 @t122) @t121))) % 0.63/0.85 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t81 (or (forall @t119 (or (not (tptp.irel @t25 @t112)) @t118)) (forall @t116 (or (not (tptp.irel @t25 @t109)) @t115)))) @t8) @t122))) % 0.63/0.85 (step @p85 :rule alpha_equiv :args (@t124 @t92 @t110)) % 0.63/0.85 (step @p86 :rule alpha_equiv :args (@t126 @t92 @t113)) % 0.63/0.85 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t127)) % 0.63/0.85 (step @p88 :rule cong :premises (@p87) :args (@t128)) % 0.63/0.85 (step @p89 :rule ho_cong :premises (@p88 @p57)) % 0.63/0.85 (step @p90 :rule trans :premises (@p89 @p84)) % 0.63/0.85 (step @p91 :rule nary_cong :premises (@p63 @p90) :args (@t129)) % 0.63/0.85 (step @p92 :rule trans :premises (@p91 @p83)) % 0.63/0.85 (step @p93 :rule cong :premises (@p92) :args (@t130)) % 0.63/0.85 (step @p94 :rule trans :premises (@p93 @p82)) % 0.63/0.85 (step @p95 :rule cong :premises (@p94) :args (@t131)) % 0.63/0.85 (step @p96 :rule cong :premises (@p95) :args (@t132)) % 0.63/0.85 (step @p97 :rule beta-reduce :args ((= (_ @t102 @t128) @t132))) % 0.63/0.85 (step @p98 :rule trans :premises (@p97 @p96)) % 0.63/0.85 (step @p99 :rule beta-reduce :args ((= (_ (lambda @t81 (not (forall @t70 (or (not (tptp.irel @t25 @t67)) @t68)))) @t8) @t123))) % 0.63/0.85 (step @p100 :rule alpha_equiv :args (@t126 @t92 (@list @t67))) % 0.63/0.85 (step @p101 :rule cong :premises (@p100) :args (@t133)) % 0.63/0.85 (step @p102 :rule cong :premises (@p101) :args (@t134)) % 0.63/0.85 (step @p103 :rule ho_cong :premises (@p102 @p57)) % 0.63/0.85 (step @p104 :rule trans :premises (@p103 @p99)) % 0.63/0.85 (step @p105 :rule nary_cong :premises (@p63 @p104) :args (@t135)) % 0.63/0.85 (step @p106 :rule cong :premises (@p105) :args (@t136)) % 0.63/0.85 (step @p107 :rule refl :args (@t126)) % 0.63/0.85 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t137)) % 0.63/0.85 (step @p109 :rule cong :premises (@p108) :args (@t138)) % 0.63/0.85 (step @p110 :rule beta-reduce :args ((= (_ (lambda @t141 (or @t126 @t140)) @t134) @t138))) % 0.63/0.85 (step @p111 :rule trans :premises (@p110 @p109)) % 0.63/0.85 (step @p112 :rule refl :args (@t125)) % 0.63/0.85 (step @p113 :rule refl :args (@t142)) % 0.63/0.85 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t142 @t125))) % 0.63/0.85 (step @p115 :rule symm :premises (@p114)) % 0.63/0.85 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 0.63/0.85 (step @p117 :rule nary_cong :premises (@p75 @p116) :args (@t143)) % 0.63/0.85 (step @p118 :rule cong :premises (@p117) :args ((forall @t31 @t143))) % 0.63/0.85 (step @p119 :rule beta-reduce :args ((= @t145 @t142))) % 0.63/0.85 (step @p120 :rule nary_cong :premises (@p63 @p119) :args (@t146)) % 0.63/0.85 (step @p121 :rule cong :premises (@p120) :args (@t147)) % 0.63/0.85 (step @p122 :rule trans :premises (@p121 @p118)) % 0.63/0.85 (step @p123 :rule cong :premises (@p122) :args (@t148)) % 0.63/0.85 (step @p124 :rule cong :premises (@p123) :args (@t149)) % 0.63/0.85 (step @p125 :rule beta-reduce :args ((= (_ @t102 @t144) @t149))) % 0.63/0.85 (step @p126 :rule trans :premises (@p125 @p124)) % 0.63/0.85 (step @p127 :rule beta-reduce :args ((= @t150 @t144))) % 0.63/0.85 (step @p128 :rule refl :args (@t102)) % 0.63/0.85 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.63/0.85 (step @p130 :rule trans :premises (@p129 @p126)) % 0.63/0.85 (step @p131 :rule refl :args (@t140)) % 0.63/0.85 (step @p132 :rule nary_cong :premises (@p122 @p131) :args (@t151)) % 0.63/0.85 (step @p133 :rule cong :premises (@p132) :args (@t152)) % 0.63/0.85 (step @p134 :rule beta-reduce :args ((= (_ @t154 @t144) @t152))) % 0.63/0.85 (step @p135 :rule trans :premises (@p134 @p133)) % 0.63/0.85 (step @p136 :rule refl :args (@t154)) % 0.63/0.85 (step @p137 :rule ho_cong :premises (@p136 @p127)) % 0.63/0.85 (step @p138 :rule trans :premises (@p137 @p135)) % 0.63/0.85 (step @p139 :rule ho_cong :premises (@p138 @p130)) % 0.63/0.85 (step @p140 :rule trans :premises (@p139 @p111)) % 0.63/0.85 (step @p141 :rule ho_cong :premises (@p128 @p140)) % 0.63/0.85 (step @p142 :rule trans :premises (@p141 @p98)) % 0.63/0.85 (step @p143 :rule ho_cong :premises (@p128 @p142)) % 0.63/0.85 (step @p144 :rule trans :premises (@p143 @p69)) % 0.63/0.85 (step @p145 :rule refl :args (@t86)) % 0.63/0.85 (step @p146 :rule ho_cong :premises (@p145 @p144)) % 0.63/0.85 (step @p147 :rule trans :premises (@p146 @p55)) % 0.63/0.85 (step @p148 :rule cong :premises (@p147) :args ((not (_ @t86 (_ @t102 (_ @t102 (_ (_ @t154 @t150) (_ @t102 @t150)))))))) % 0.63/0.85 (step @p149 :rule refl :args (tptp.a)) % 0.63/0.85 (step @p150 :rule ho_cong :premises (@p11 @p149)) % 0.63/0.85 (step @p151 :rule beta-reduce :args ((= (_ (lambda @t157 (not @t156)) @t25) @t101))) % 0.63/0.85 (step @p152 :rule refl :args (@t25)) % 0.63/0.85 (step @p153 :rule beta-reduce :args ((= @t161 @t156))) % 0.63/0.85 (step @p154 :rule cong :premises (@p153) :args (@t162)) % 0.63/0.85 (step @p155 :rule cong :premises (@p154) :args (@t163)) % 0.63/0.85 (step @p156 :rule beta-reduce :args ((= (_ @t19 @t160) @t163))) % 0.63/0.85 (step @p157 :rule trans :premises (@p156 @p155)) % 0.63/0.85 (step @p158 :rule beta-reduce :args ((= (_ @t164 @t29) @t160))) % 0.63/0.85 (step @p159 :rule refl :args (@t19)) % 0.63/0.85 (step @p160 :rule ho_cong :premises (@p159 @p158)) % 0.63/0.85 (step @p161 :rule trans :premises (@p160 @p157)) % 0.63/0.85 (step @p162 :rule ho_cong :premises (@p161 @p152)) % 0.63/0.85 (step @p163 :rule trans :premises (@p162 @p151)) % 0.63/0.85 (step @p164 :rule refl :args (@t29)) % 0.63/0.85 (step @p165 :rule refl :args (@t99)) % 0.63/0.85 (step @p166 :rule refl :args (@t30)) % 0.63/0.85 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t30 @t99))) % 0.63/0.85 (step @p168 :rule symm :premises (@p167)) % 0.63/0.85 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.63/0.85 (step @p170 :rule nary_cong :premises (@p40 @p169) :args (@t165)) % 0.63/0.85 (step @p171 :rule cong :premises (@p170) :args ((forall @t31 @t165))) % 0.63/0.85 (step @p172 :rule bool-impl-elim :args (@t10 @t30)) % 0.63/0.85 (step @p173 :rule cong :premises (@p172) :args (@t32)) % 0.63/0.85 (step @p174 :rule trans :premises (@p173 @p171)) % 0.63/0.85 (step @p175 :rule cong :premises (@p174) :args (@t34)) % 0.63/0.85 (step @p176 :rule trans :premises (@p10 @p175)) % 0.63/0.85 (step @p177 :rule ho_cong :premises (@p176 @p164)) % 0.63/0.85 (step @p178 :rule ho_cong :premises (@p6 @p177)) % 0.63/0.85 (step @p179 :rule ho_cong :premises (@p178 @p152)) % 0.63/0.85 (step @p180 :rule trans :premises (@p179 @p163)) % 0.63/0.85 (step @p181 :rule cong :premises (@p180) :args (@t38)) % 0.63/0.85 (step @p182 :rule trans :premises (@p12 @p181)) % 0.63/0.85 (step @p183 :rule ho_cong :premises (@p182 @p150)) % 0.63/0.85 (step @p184 :rule beta-reduce :args ((= (_ (lambda @t157 (or @t156 @t166)) @t25) @t153))) % 0.63/0.85 (step @p185 :rule beta-reduce :args ((= @t168 @t166))) % 0.63/0.85 (step @p186 :rule refl :args (@t156)) % 0.63/0.85 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t169)) % 0.63/0.85 (step @p188 :rule cong :premises (@p187) :args (@t170)) % 0.63/0.85 (step @p189 :rule beta-reduce :args ((= (_ (lambda @t171 (or @t156 @t21)) @t167) @t170))) % 0.63/0.85 (step @p190 :rule trans :premises (@p189 @p188)) % 0.63/0.85 (step @p191 :rule beta-reduce :args ((= (_ @t164 @t42) @t167))) % 0.63/0.85 (step @p192 :rule refl :args (@t21)) % 0.63/0.85 (step @p193 :rule nary_cong :premises (@p153 @p192) :args (@t172)) % 0.63/0.85 (step @p194 :rule cong :premises (@p193) :args (@t173)) % 0.63/0.85 (step @p195 :rule beta-reduce :args ((= (_ @t23 @t160) @t173))) % 0.63/0.85 (step @p196 :rule trans :premises (@p195 @p194)) % 0.63/0.85 (step @p197 :rule refl :args (@t23)) % 0.63/0.85 (step @p198 :rule ho_cong :premises (@p197 @p158)) % 0.63/0.85 (step @p199 :rule trans :premises (@p198 @p196)) % 0.63/0.85 (step @p200 :rule ho_cong :premises (@p199 @p191)) % 0.63/0.85 (step @p201 :rule trans :premises (@p200 @p190)) % 0.63/0.85 (step @p202 :rule ho_cong :premises (@p201 @p152)) % 0.63/0.85 (step @p203 :rule trans :premises (@p202 @p184)) % 0.63/0.85 (step @p204 :rule refl :args (@t42)) % 0.63/0.85 (step @p205 :rule ho_cong :premises (@p176 @p204)) % 0.63/0.85 (step @p206 :rule ho_cong :premises (@p7 @p177)) % 0.63/0.85 (step @p207 :rule ho_cong :premises (@p206 @p205)) % 0.63/0.85 (step @p208 :rule ho_cong :premises (@p207 @p152)) % 0.63/0.85 (step @p209 :rule trans :premises (@p208 @p203)) % 0.63/0.85 (step @p210 :rule cong :premises (@p209) :args (@t46)) % 0.63/0.85 (step @p211 :rule trans :premises (@p15 @p210)) % 0.63/0.85 (step @p212 :rule ho_cong :premises (@p211 @p150)) % 0.63/0.85 (step @p213 :rule ho_cong :premises (@p212 @p183)) % 0.63/0.85 (step @p214 :rule ho_cong :premises (@p182 @p213)) % 0.63/0.85 (step @p215 :rule ho_cong :premises (@p182 @p214)) % 0.63/0.85 (step @p216 :rule refl :args (@t85)) % 0.63/0.85 (step @p217 :rule refl :args (@t53)) % 0.63/0.85 (step @p218 :rule cong :premises (@p217 @p216) :args ((= @t53 @t85))) % 0.63/0.85 (step @p219 :rule symm :premises (@p218)) % 0.63/0.85 (step @p220 :rule eq_resolve :premises (@p217 @p219)) % 0.63/0.85 (step @p221 :rule cong :premises (@p220) :args (@t54)) % 0.63/0.85 (step @p222 :rule cong :premises (@p221) :args (@t56)) % 0.63/0.85 (step @p223 :rule trans :premises (@p20 @p222)) % 0.63/0.85 (step @p224 :rule ho_cong :premises (@p223 @p215)) % 0.63/0.85 (step @p225 :rule cong :premises (@p224) :args (@t15)) % 0.63/0.85 (step @p226 :rule trans :premises (@p225 @p148)) % 0.63/0.85 (step @p227 :rule eq_resolve :premises (@p4 @p226)) % 0.63/0.85 (step @p228 :rule refl :args (@t176)) % 0.63/0.85 (step @p229 :rule bool-double-not-elim :args (@t174)) % 0.63/0.85 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t177) @t176))) % 0.63/0.85 (step @p231 :rule bool-double-not-elim :args (@t176)) % 0.63/0.85 (step @p232 :rule refl :args (@t177)) % 0.63/0.85 (step @p233 :rule cong :premises (@p232 @p231) :args ((=> @t177 @t178))) % 0.63/0.85 (assume-push @p311 @t177) % 0.63/0.85 (step @p235 :rule skolemize :premises (@p227)) % 0.63/0.85 (step-pop @p312 :rule scope :premises (@p235)) % 0.63/0.85 (step @p236 :rule process_scope :premises (@p312) :args (@t178)) % 0.63/0.85 (step @p238 :rule eq_resolve :premises (@p236 @p233)) % 0.63/0.85 (step @p239 :rule implies_elim :premises (@p238)) % 0.63/0.85 (step @p240 :rule eq_resolve :premises (@p239 @p230)) % 0.63/0.85 (step @p241 :rule chain_m_resolution :premises (@p240 @p227) :args (@t176 @t179 (@list @t174))) % 0.63/0.85 (step @p242 :rule instantiate :premises (@p241) :args (@t180)) % 0.63/0.85 (step @p243 :rule refl :args (@t181)) % 0.63/0.85 (step @p244 :rule refl :args (@t3)) % 0.63/0.85 (step @p245 :rule cong :premises (@p244 @p243) :args ((= @t3 @t181))) % 0.63/0.85 (step @p246 :rule symm :premises (@p245)) % 0.63/0.85 (step @p247 :rule eq_resolve :premises (@p244 @p246)) % 0.63/0.85 (step @p248 :rule cong :premises (@p247) :args (@t5)) % 0.63/0.85 (step @p249 :rule eq_resolve :premises (@p1 @p248)) % 0.63/0.85 (step @p250 :rule instantiate :premises (@p249) :args (@t180)) % 0.63/0.85 (step @p251 :rule cnf_or_pos :args (@t186)) % 0.63/0.85 (step @p252 :rule reordering :premises (@p251) :args ((or @t185 @t183 (not @t186)))) % 0.63/0.85 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p242) :args (@t183 @t187 (@list @t184 @t186))) % 0.63/0.85 (step @p254 :rule skolemize :premises (@p253)) % 0.63/0.85 (step @p255 :rule bool-double-not-elim :args (@t189)) % 0.63/0.85 (step @p256 :rule refl :args (@t197)) % 0.63/0.85 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or @t197 (not @t190)))) % 0.63/0.85 (step @p258 :rule cnf_or_neg :args (@t197 4)) % 0.63/0.85 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.63/0.85 (step @p260 :rule reordering :premises (@p259) :args ((or @t189 @t197))) % 0.63/0.85 (step @p261 :rule chain_m_resolution :premises (@p260 @p254) :args (@t189 @t179 @t198)) % 0.63/0.85 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t200))) % 0.63/0.85 (step @p263 :rule instantiate :premises (@p241) :args ((@list @t188))) % 0.63/0.85 (step @p264 :rule instantiate :premises (@p51) :args ((@list @t175 @t191 @t188))) % 0.63/0.85 (step @p265 :rule bool-double-not-elim :args (@t192)) % 0.63/0.85 (step @p266 :rule nary_cong :premises (@p256 @p265) :args ((or @t197 (not @t193)))) % 0.63/0.85 (step @p267 :rule cnf_or_neg :args (@t197 3)) % 0.63/0.85 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.63/0.85 (step @p269 :rule reordering :premises (@p268) :args ((or @t192 @t197))) % 0.63/0.85 (step @p270 :rule chain_m_resolution :premises (@p269 @p254) :args (@t192 @t179 @t198)) % 0.63/0.85 (step @p271 :rule bool-double-not-elim :args (@t195)) % 0.63/0.85 (step @p272 :rule nary_cong :premises (@p256 @p271) :args ((or @t197 (not @t196)))) % 0.63/0.85 (step @p273 :rule cnf_or_neg :args (@t197 0)) % 0.63/0.85 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.63/0.85 (step @p275 :rule reordering :premises (@p274) :args ((or @t195 @t197))) % 0.63/0.85 (step @p276 :rule chain_m_resolution :premises (@p275 @p254) :args (@t195 @t179 @t198)) % 0.63/0.85 (step @p277 :rule cnf_or_pos :args (@t202)) % 0.63/0.85 (step @p278 :rule reordering :premises (@p277) :args ((or @t196 @t193 @t201 (not @t202)))) % 0.63/0.85 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p270 @p264) :args (@t201 (@list false false false) (@list @t195 @t192 @t202))) % 0.63/0.85 (step @p280 :rule cnf_or_pos :args (@t205)) % 0.63/0.85 (step @p281 :rule reordering :premises (@p280) :args ((or @t204 @t203 (not @t205)))) % 0.63/0.85 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p263) :args (@t203 @t187 (@list @t201 @t205))) % 0.63/0.85 (step @p283 :rule skolemize :premises (@p282)) % 0.63/0.85 (step @p284 :rule cnf_or_neg :args (@t213 2)) % 0.63/0.85 (step @p285 :rule chain_m_resolution :premises (@p284 @p283) :args ((not @t208) @t179 @t214)) % 0.63/0.85 (step @p286 :rule cnf_or_pos :args (@t217)) % 0.63/0.85 (step @p287 :rule reordering :premises (@p286) :args ((or @t208 @t216 (not @t217)))) % 0.63/0.85 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p262) :args (@t216 @t218 (@list @t208 @t217))) % 0.63/0.85 (step @p289 :rule bool-double-not-elim :args (@t209)) % 0.63/0.85 (step @p290 :rule refl :args (@t213)) % 0.63/0.85 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t213 (not @t210)))) % 0.63/0.85 (step @p292 :rule cnf_or_neg :args (@t213 1)) % 0.63/0.85 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 0.63/0.85 (step @p294 :rule reordering :premises (@p293) :args ((or @t209 @t213))) % 0.63/0.85 (step @p295 :rule chain_m_resolution :premises (@p294 @p283) :args (@t209 @t179 @t214)) % 0.63/0.85 (step @p296 :rule bool-double-not-elim :args (@t211)) % 0.63/0.85 (step @p297 :rule nary_cong :premises (@p290 @p296) :args ((or @t213 (not @t212)))) % 0.63/0.85 (step @p298 :rule cnf_or_neg :args (@t213 0)) % 0.63/0.85 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.63/0.85 (step @p300 :rule reordering :premises (@p299) :args ((or @t211 @t213))) % 0.63/0.85 (step @p301 :rule chain_m_resolution :premises (@p300 @p283) :args (@t211 @t179 @t214)) % 0.63/0.85 (step @p302 :rule cnf_or_pos :args (@t219)) % 0.63/0.85 (step @p303 :rule reordering :premises (@p302) :args ((or @t212 @t210 @t215 @t220))) % 0.63/0.85 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p295 @p288) :args (@t220 (@list false false true) (@list @t211 @t209 @t215))) % 0.63/0.85 (assume-push @p313 @t221) % 0.63/0.85 (step @p306 :rule instantiate :premises (@p51) :args ((@list @t188 @t207 @t200))) % 0.63/0.85 (step-pop @p314 :rule scope :premises (@p306)) % 0.63/0.85 (step @p307 :rule process_scope :premises (@p314) :args (@t219)) % 0.63/0.85 (step @p309 :rule implies_elim :premises (@p307)) % 0.63/0.85 (step @p310 false :rule chain_m_resolution :premises (@p309 @p304 @p51) :args (false @t218 (@list @t219 @t221))) % 0.63/0.85 ) % 0.63/0.85 % SZS output end Proof % 0.63/0.85 % cvc5 exiting %------------------------------------------------------------------------------