%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC059+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:57:53 AM UTC 2026 % Result : Theorem 0.22s 0.45s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC059+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 19:11:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.45 % SZS status Theorem % 0.22/0.45 % SZS output start Proof % 0.22/0.45 ( % 0.22/0.45 (declare-sort $$unsorted 0) % 0.22/0.45 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.22/0.45 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.22/0.45 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.45 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.45 (declare-const tptp.nil $$unsorted) % 0.22/0.45 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.22/0.45 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.22/0.45 (define @t1 () (@var "V" $$unsorted)) % 0.22/0.45 (define @t2 () (@var "U" $$unsorted)) % 0.22/0.45 (define @t3 () (= @t2 @t1)) % 0.22/0.45 (define @t4 () (not @t3)) % 0.22/0.45 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.22/0.45 (define @t6 () (tptp.ssItem @t1)) % 0.22/0.45 (define @t7 () (@list @t1)) % 0.22/0.45 (define @t8 () (tptp.ssItem @t2)) % 0.22/0.45 (define @t9 () (@list @t2)) % 0.22/0.45 (define @t10 () (@var "X" $$unsorted)) % 0.22/0.45 (define @t11 () (tptp.cons @t1 @t10)) % 0.22/0.45 (define @t12 () (@var "W" $$unsorted)) % 0.22/0.45 (define @t13 () (tptp.ssList @t10)) % 0.22/0.45 (define @t14 () (@list @t10)) % 0.22/0.45 (define @t15 () (tptp.ssList @t12)) % 0.22/0.45 (define @t16 () (@list @t12)) % 0.22/0.45 (define @t17 () (tptp.ssList @t2)) % 0.22/0.45 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.22/0.45 (define @t19 () (tptp.app @t1 @t12)) % 0.22/0.45 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.22/0.45 (define @t21 () (tptp.ssList @t1)) % 0.22/0.45 (define @t22 () (tptp.app @t12 @t1)) % 0.22/0.45 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.22/0.45 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.22/0.45 (define @t25 () (tptp.leq @t12 @t1)) % 0.22/0.45 (define @t26 () (tptp.leq @t1 @t12)) % 0.22/0.45 (define @t27 () (@var "Z" $$unsorted)) % 0.22/0.45 (define @t28 () (@var "Y" $$unsorted)) % 0.22/0.45 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.22/0.45 (define @t30 () (tptp.ssList @t27)) % 0.22/0.45 (define @t31 () (@list @t27)) % 0.22/0.45 (define @t32 () (tptp.ssList @t28)) % 0.22/0.45 (define @t33 () (@list @t28)) % 0.22/0.45 (define @t34 () (tptp.ssItem @t12)) % 0.22/0.45 (define @t35 () (tptp.lt @t1 @t12)) % 0.22/0.45 (define @t36 () (= @t1 @t12)) % 0.22/0.45 (define @t37 () (tptp.cons @t1 @t2)) % 0.22/0.45 (define @t38 () (= @t1 @t2)) % 0.22/0.45 (define @t39 () (tptp.cons @t12 @t1)) % 0.22/0.45 (define @t40 () (= tptp.nil @t2)) % 0.22/0.45 (define @t41 () (tptp.hd @t2)) % 0.22/0.45 (define @t42 () (not @t40)) % 0.22/0.45 (define @t43 () (tptp.tl @t2)) % 0.22/0.45 (define @t44 () (tptp.app @t2 @t1)) % 0.22/0.45 (define @t45 () (tptp.app @t1 @t2)) % 0.22/0.45 (define @t46 () (tptp.leq @t1 @t2)) % 0.22/0.45 (define @t47 () (tptp.leq @t2 @t1)) % 0.22/0.45 (define @t48 () (tptp.geq @t2 @t1)) % 0.22/0.45 (define @t49 () (tptp.lt @t1 @t2)) % 0.22/0.45 (define @t50 () (tptp.lt @t2 @t1)) % 0.22/0.45 (define @t51 () (tptp.lt @t2 @t12)) % 0.22/0.45 (define @t52 () (tptp.gt @t2 @t1)) % 0.22/0.45 (define @t53 () (tptp.memberP @t12 @t2)) % 0.22/0.45 (define @t54 () (tptp.app @t12 @t2)) % 0.22/0.45 (define @t55 () (tptp.segmentP @t1 @t12)) % 0.22/0.45 (define @t56 () (tptp.segmentP @t1 @t2)) % 0.22/0.45 (define @t57 () (tptp.segmentP @t2 @t2)) % 0.22/0.45 (define @t58 () (forall @t9 (=> @t17 @t57))) % 0.22/0.45 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.22/0.45 (define @t60 () (tptp.hd @t1)) % 0.22/0.45 (define @t61 () (= tptp.nil @t1)) % 0.22/0.45 (define @t62 () (not @t61)) % 0.22/0.45 (define @t63 () (tptp.cons @t2 @t1)) % 0.22/0.45 (define @t64 () (= @t12 @t2)) % 0.22/0.45 (define @t65 () (tptp.segmentP @t2 @t28)) % 0.22/0.45 (define @t66 () (tptp.segmentP @t1 @t28)) % 0.22/0.45 (define @t67 () (tptp.neq @t28 tptp.nil)) % 0.22/0.45 (define @t68 () (and @t32 @t67 @t66 @t65)) % 0.22/0.45 (define @t69 () (exists @t33 @t68)) % 0.22/0.45 (define @t70 () (tptp.neq @t1 tptp.nil)) % 0.22/0.45 (define @t71 () (not @t70)) % 0.22/0.45 (define @t72 () (or @t71 @t69)) % 0.22/0.45 (define @t73 () (or @t62 @t40)) % 0.22/0.45 (define @t74 () (and @t73 @t72)) % 0.22/0.45 (define @t75 () (not (tptp.neq @t12 tptp.nil))) % 0.22/0.45 (define @t76 () (and (tptp.neq @t10 tptp.nil) (or @t75 (not (tptp.segmentP @t10 @t12))))) % 0.22/0.45 (define @t77 () (not (= tptp.nil @t12))) % 0.22/0.45 (define @t78 () (and @t77 (= tptp.nil @t10))) % 0.22/0.45 (define @t79 () (not (= @t2 @t12))) % 0.22/0.45 (define @t80 () (not (= @t1 @t10))) % 0.22/0.45 (define @t81 () (or @t80 @t79 @t78 @t76 @t74)) % 0.22/0.45 (define @t82 () (=> @t13 @t81)) % 0.22/0.45 (define @t83 () (forall @t14 @t82)) % 0.22/0.45 (define @t84 () (=> @t15 @t83)) % 0.22/0.45 (define @t85 () (forall @t16 @t84)) % 0.22/0.45 (define @t86 () (=> @t21 @t85)) % 0.22/0.45 (define @t87 () (forall @t7 @t86)) % 0.22/0.45 (define @t88 () (=> @t17 @t87)) % 0.22/0.45 (define @t89 () (forall @t9 @t88)) % 0.22/0.45 (define @t90 () (not @t89)) % 0.22/0.45 (define @t91 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 0.22/0.45 (define @t92 () (not (tptp.neq @t2 tptp.nil))) % 0.22/0.45 (define @t93 () (tptp.neq @t91 tptp.nil)) % 0.22/0.45 (define @t94 () (and @t93 (or @t92 (not (tptp.segmentP @t91 @t2))))) % 0.22/0.45 (define @t95 () (= @t2 tptp.nil)) % 0.22/0.45 (define @t96 () (not @t95)) % 0.22/0.45 (define @t97 () (= @t91 tptp.nil)) % 0.22/0.45 (define @t98 () (and @t96 @t97)) % 0.22/0.45 (define @t99 () (not @t65)) % 0.22/0.45 (define @t100 () (not @t67)) % 0.22/0.45 (define @t101 () (not @t32)) % 0.22/0.45 (define @t102 () (or (not @t93) (not (forall @t33 (or @t101 @t100 (not (tptp.segmentP @t91 @t28)) @t99))))) % 0.22/0.45 (define @t103 () (not @t97)) % 0.22/0.45 (define @t104 () (or @t103 @t95)) % 0.22/0.45 (define @t105 () (and @t104 @t102)) % 0.22/0.45 (define @t106 () (not (tptp.ssList @t91))) % 0.22/0.45 (define @t107 () (not @t17)) % 0.22/0.45 (define @t108 () (or @t107 @t106 @t105 @t98 @t94)) % 0.22/0.45 (define @t109 () (or @t106 @t105 @t98 @t94)) % 0.22/0.45 (define @t110 () (or @t107 @t109)) % 0.22/0.45 (define @t111 () (@list @t2 @t91)) % 0.22/0.45 (define @t112 () (forall @t111 @t110)) % 0.22/0.45 (define @t113 () (@list @t91)) % 0.22/0.45 (define @t114 () (forall @t113 @t110)) % 0.22/0.45 (define @t115 () (forall @t113 @t109)) % 0.22/0.45 (define @t116 () (or @t107 @t115)) % 0.22/0.45 (define @t117 () (and @t70 (or @t92 (not @t56)))) % 0.22/0.45 (define @t118 () (= @t1 tptp.nil)) % 0.22/0.45 (define @t119 () (and @t96 @t118)) % 0.22/0.45 (define @t120 () (not @t66)) % 0.22/0.45 (define @t121 () (or @t101 @t100 @t120 @t99)) % 0.22/0.45 (define @t122 () (and (or (not @t118) @t95) (or @t71 (not (forall @t33 @t121))))) % 0.22/0.45 (define @t123 () (not @t21)) % 0.22/0.45 (define @t124 () (or @t123 @t122 @t119 @t117)) % 0.22/0.45 (define @t125 () (or @t107 (forall @t7 @t124))) % 0.22/0.45 (define @t126 () (or @t107 @t124)) % 0.22/0.45 (define @t127 () (or @t123 @t122 @t107 @t119 @t117)) % 0.22/0.45 (define @t128 () (or @t122 @t123 @t107 @t119 @t117)) % 0.22/0.45 (define @t129 () (or @t107 @t119 @t117)) % 0.22/0.45 (define @t130 () (not (= @t2 @t2))) % 0.22/0.45 (define @t131 () (or @t107 @t130 @t119 @t117)) % 0.22/0.45 (define @t132 () (and @t70 (or @t75 (not @t55)))) % 0.22/0.45 (define @t133 () (not (= @t12 tptp.nil))) % 0.22/0.45 (define @t134 () (and @t133 @t118)) % 0.22/0.45 (define @t135 () (not @t15)) % 0.22/0.45 (define @t136 () (or @t79 @t135 @t79 @t134 @t132)) % 0.22/0.45 (define @t137 () (or @t135 @t79 @t134 @t132)) % 0.22/0.45 (define @t138 () (forall @t16 @t137)) % 0.22/0.45 (define @t139 () (or @t122 @t123 @t138)) % 0.22/0.45 (define @t140 () (or @t122 @t123 @t137)) % 0.22/0.45 (define @t141 () (or @t135 @t79 @t122 @t123 @t134 @t132)) % 0.22/0.45 (define @t142 () (or @t79 @t122 @t123 @t134 @t132)) % 0.22/0.45 (define @t143 () (or @t123 @t134 @t132)) % 0.22/0.45 (define @t144 () (not (= @t1 @t1))) % 0.22/0.45 (define @t145 () (or @t123 @t144 @t134 @t132)) % 0.22/0.45 (define @t146 () (and @t133 (= @t10 tptp.nil))) % 0.22/0.45 (define @t147 () (not @t13)) % 0.22/0.45 (define @t148 () (or @t80 @t147 @t80 @t146 @t76)) % 0.22/0.45 (define @t149 () (or @t147 @t80 @t146 @t76)) % 0.22/0.45 (define @t150 () (forall @t14 @t149)) % 0.22/0.45 (define @t151 () (or @t79 @t122 @t150)) % 0.22/0.45 (define @t152 () (or @t79 @t122 @t149)) % 0.22/0.45 (define @t153 () (or @t147 @t80 @t79 @t146 @t76 @t122)) % 0.22/0.45 (define @t154 () (or @t80 @t79 @t146 @t76 @t122)) % 0.22/0.45 (define @t155 () (forall @t33 (not @t68))) % 0.22/0.45 (define @t156 () (not @t155)) % 0.22/0.45 (define @t157 () (= tptp.nil @t91)) % 0.22/0.45 (define @t158 () (forall @t111 (or @t107 @t106 (and (or (not @t157) @t95) @t102) (and @t96 @t157) @t94))) % 0.22/0.45 (define @t159 () (@quantifiers_skolemize @t158 0)) % 0.22/0.45 (define @t160 () (@quantifiers_skolemize @t158 1)) % 0.22/0.45 (define @t161 () (tptp.segmentP @t160 @t159)) % 0.22/0.45 (define @t162 () (not @t161)) % 0.22/0.45 (define @t163 () (tptp.neq @t159 tptp.nil)) % 0.22/0.45 (define @t164 () (not @t163)) % 0.22/0.45 (define @t165 () (or @t164 @t162)) % 0.22/0.45 (define @t166 () (tptp.neq @t160 tptp.nil)) % 0.22/0.45 (define @t167 () (and @t166 @t165)) % 0.22/0.45 (define @t168 () (= tptp.nil @t160)) % 0.22/0.45 (define @t169 () (= tptp.nil @t159)) % 0.22/0.45 (define @t170 () (not @t169)) % 0.22/0.45 (define @t171 () (and @t170 @t168)) % 0.22/0.45 (define @t172 () (forall @t33 (or @t101 @t100 (not (tptp.segmentP @t160 @t28)) (not (tptp.segmentP @t159 @t28))))) % 0.22/0.45 (define @t173 () (not @t172)) % 0.22/0.45 (define @t174 () (not @t166)) % 0.22/0.45 (define @t175 () (or @t174 @t173)) % 0.22/0.45 (define @t176 () (not @t168)) % 0.22/0.45 (define @t177 () (or @t176 @t169)) % 0.22/0.45 (define @t178 () (and @t177 @t175)) % 0.22/0.45 (define @t179 () (not (tptp.ssList @t160))) % 0.22/0.45 (define @t180 () (tptp.ssList @t159)) % 0.22/0.45 (define @t181 () (not @t180)) % 0.22/0.45 (define @t182 () (or @t181 @t179 @t178 @t171 @t167)) % 0.22/0.45 (define @t183 () (not @t182)) % 0.22/0.45 (define @t184 () (not @t158)) % 0.22/0.45 (define @t185 () (= @t159 tptp.nil)) % 0.22/0.45 (define @t186 () (not @t185)) % 0.22/0.45 (define @t187 () (and @t186 @t168)) % 0.22/0.45 (define @t188 () (or @t176 @t185)) % 0.22/0.45 (define @t189 () (and @t188 @t175)) % 0.22/0.45 (define @t190 () (or @t181 @t179 @t189 @t187 @t167)) % 0.22/0.45 (define @t191 () (not @t190)) % 0.22/0.45 (define @t192 () (@list true)) % 0.22/0.45 (define @t193 () (@list @t182)) % 0.22/0.45 (define @t194 () (@list @t159)) % 0.22/0.45 (define @t195 () (tptp.segmentP @t159 @t159)) % 0.22/0.45 (define @t196 () (not @t195)) % 0.22/0.45 (define @t197 () (or @t181 @t164 @t162 @t196)) % 0.22/0.45 (define @t198 () (or @t181 @t195)) % 0.22/0.45 (define @t199 () (@list @t177)) % 0.22/0.45 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.22/0.45 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.22/0.45 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.22/0.45 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.22/0.45 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.22/0.45 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.22/0.45 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.22/0.45 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.22/0.45 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.22/0.45 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.22/0.45 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.22/0.45 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.22/0.45 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.22/0.45 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.22/0.45 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.22/0.45 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.22/0.45 (assume @p17 (tptp.ssList tptp.nil)) % 0.22/0.45 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.22/0.45 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.22/0.45 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.22/0.45 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.22/0.45 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.22/0.45 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.22/0.45 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.22/0.45 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.22/0.45 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.22/0.45 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.22/0.45 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.22/0.45 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.22/0.45 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.22/0.45 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.22/0.45 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.22/0.45 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.22/0.45 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.22/0.45 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.22/0.45 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.22/0.45 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.22/0.45 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.22/0.45 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.22/0.45 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.22/0.45 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.22/0.45 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.22/0.45 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.22/0.45 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.22/0.45 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.22/0.45 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.22/0.45 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.22/0.45 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.22/0.45 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.22/0.45 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.22/0.45 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.22/0.45 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.22/0.45 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 @t55) (tptp.segmentP @t2 @t12))))))))) % 0.22/0.45 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t56) @t3)))))) % 0.22/0.45 (assume @p55 @t58) % 0.22/0.45 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.22/0.45 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.22/0.45 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.22/0.45 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t59)))) % 0.22/0.45 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.22/0.45 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t59)))) % 0.22/0.45 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.22/0.45 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t59)))) % 0.22/0.45 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.22/0.45 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t59)))) % 0.22/0.45 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.22/0.45 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.22/0.45 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59)))) % 0.22/0.45 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.22/0.45 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.22/0.45 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59)))) % 0.22/0.45 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.22/0.45 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59)))) % 0.22/0.45 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.22/0.45 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.22/0.45 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.22/0.45 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t42 (= @t60 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.22/0.45 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.22/0.45 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t64)))))))) % 0.22/0.45 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t64)))))))) % 0.22/0.45 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.22/0.45 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.22/0.45 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t61 @t40))))))) % 0.22/0.45 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.22/0.45 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.22/0.45 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.22/0.45 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.22/0.45 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.22/0.45 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.22/0.45 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.22/0.45 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.22/0.45 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.22/0.45 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.22/0.45 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.22/0.45 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.22/0.45 (assume @p96 @t90) % 0.22/0.45 (assume @p97 true) % 0.22/0.45 (step @p98 :rule refl :args (@t94)) % 0.22/0.45 (step @p99 :rule eq-symm :args (@t91 tptp.nil)) % 0.22/0.45 (step @p100 :rule refl :args (@t96)) % 0.22/0.45 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t98)) % 0.22/0.45 (step @p102 :rule refl :args (@t102)) % 0.22/0.45 (step @p103 :rule refl :args (@t95)) % 0.22/0.45 (step @p104 :rule cong :premises (@p99) :args (@t103)) % 0.22/0.45 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t104)) % 0.22/0.45 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t105)) % 0.22/0.45 (step @p107 :rule refl :args (@t106)) % 0.22/0.45 (step @p108 :rule refl :args (@t107)) % 0.22/0.45 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p101 @p98) :args (@t108)) % 0.22/0.45 (step @p110 :rule aci_norm :args ((= @t110 @t108))) % 0.22/0.45 (step @p111 :rule trans :premises (@p110 @p109)) % 0.22/0.45 (step @p112 :rule cong :premises (@p111) :args (@t112)) % 0.22/0.45 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t114) @t112))) % 0.22/0.45 (step @p114 :rule alpha_equiv :args (@t115 (@list @t91) (@list @t1))) % 0.22/0.45 (step @p115 :rule refl :args (@t107)) % 0.22/0.45 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t116)) % 0.22/0.45 (step @p117 :rule quant-miniscope-or :args ((= @t114 @t116))) % 0.22/0.45 (step @p118 :rule trans :premises (@p117 @p116)) % 0.22/0.45 (step @p119 :rule symm :premises (@p118)) % 0.22/0.45 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t125))) % 0.22/0.45 (step @p121 :rule trans :premises (@p120 @p113)) % 0.22/0.45 (step @p122 :rule trans :premises (@p121 @p112)) % 0.22/0.45 (step @p123 :rule aci_norm :args ((= (or @t107 @t125) @t125))) % 0.22/0.45 (step @p124 :rule bool-impl-elim :args (@t17 @t125)) % 0.22/0.45 (step @p125 :rule trans :premises (@p124 @p123)) % 0.22/0.45 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t125)))) % 0.22/0.45 (step @p127 :rule trans :premises (@p126 @p122)) % 0.22/0.45 (step @p128 :rule quant-miniscope-or :args ((= (forall @t7 @t126) @t125))) % 0.22/0.45 (step @p129 :rule aci_norm :args ((= @t127 @t126))) % 0.22/0.45 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 @t127))) % 0.22/0.45 (step @p131 :rule trans :premises (@p130 @p128)) % 0.22/0.45 (step @p132 :rule aci_norm :args ((= (or @t123 @t128) @t127))) % 0.22/0.45 (step @p133 :rule bool-impl-elim :args (@t21 @t128)) % 0.22/0.45 (step @p134 :rule trans :premises (@p133 @p132)) % 0.22/0.45 (step @p135 :rule cong :premises (@p134) :args ((forall @t7 (=> @t21 @t128)))) % 0.22/0.45 (step @p136 :rule trans :premises (@p135 @p131)) % 0.22/0.45 (step @p137 :rule aci_norm :args ((= (or @t122 @t123 @t129) @t128))) % 0.22/0.45 (step @p138 :rule aci_norm :args ((= (or @t107 false @t119 @t117) @t129))) % 0.22/0.45 (step @p139 :rule refl :args (@t117)) % 0.22/0.45 (step @p140 :rule refl :args (@t119)) % 0.22/0.45 (step @p141 :rule evaluate :args ((not true))) % 0.22/0.45 (step @p142 :rule eq-refl :args (@t2)) % 0.22/0.45 (step @p143 :rule cong :premises (@p142) :args (@t130)) % 0.22/0.45 (step @p144 :rule trans :premises (@p143 @p141)) % 0.22/0.45 (step @p145 :rule nary_cong :premises (@p108 @p144 @p140 @p139) :args (@t131)) % 0.22/0.45 (step @p146 :rule trans :premises (@p145 @p138)) % 0.22/0.45 (step @p147 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t64) @t135 @t79 @t134 @t132)) @t131))) % 0.22/0.45 (step @p148 :rule refl :args (@t132)) % 0.22/0.45 (step @p149 :rule refl :args (@t134)) % 0.22/0.45 (step @p150 :rule refl :args (@t79)) % 0.22/0.45 (step @p151 :rule refl :args (@t135)) % 0.22/0.45 (step @p152 :rule eq-symm :args (@t2 @t12)) % 0.22/0.45 (step @p153 :rule cong :premises (@p152) :args (@t79)) % 0.22/0.45 (step @p154 :rule nary_cong :premises (@p153 @p151 @p150 @p149 @p148) :args (@t136)) % 0.22/0.45 (step @p155 :rule aci_norm :args ((= @t137 @t136))) % 0.22/0.45 (step @p156 :rule trans :premises (@p155 @p154)) % 0.22/0.45 (step @p157 :rule cong :premises (@p156) :args (@t138)) % 0.22/0.45 (step @p158 :rule trans :premises (@p157 @p147)) % 0.22/0.45 (step @p159 :rule trans :premises (@p158 @p146)) % 0.22/0.45 (step @p160 :rule refl :args (@t123)) % 0.22/0.45 (step @p161 :rule refl :args (@t122)) % 0.22/0.45 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args (@t139)) % 0.22/0.45 (step @p163 :rule trans :premises (@p162 @p137)) % 0.22/0.45 (step @p164 :rule quant-miniscope-or :args ((= (forall @t16 @t140) @t139))) % 0.22/0.45 (step @p165 :rule aci_norm :args ((= @t141 @t140))) % 0.22/0.45 (step @p166 :rule cong :premises (@p165) :args ((forall @t16 @t141))) % 0.22/0.45 (step @p167 :rule trans :premises (@p166 @p164)) % 0.22/0.45 (step @p168 :rule trans :premises (@p167 @p163)) % 0.22/0.45 (step @p169 :rule aci_norm :args ((= (or @t135 @t142) @t141))) % 0.22/0.45 (step @p170 :rule bool-impl-elim :args (@t15 @t142)) % 0.22/0.45 (step @p171 :rule trans :premises (@p170 @p169)) % 0.22/0.45 (step @p172 :rule cong :premises (@p171) :args ((forall @t16 (=> @t15 @t142)))) % 0.22/0.45 (step @p173 :rule trans :premises (@p172 @p168)) % 0.22/0.45 (step @p174 :rule aci_norm :args ((= (or @t79 @t122 @t143) @t142))) % 0.22/0.45 (step @p175 :rule aci_norm :args ((= (or @t123 false @t134 @t132) @t143))) % 0.22/0.45 (step @p176 :rule refl :args (@t132)) % 0.22/0.45 (step @p177 :rule refl :args (@t134)) % 0.22/0.45 (step @p178 :rule eq-refl :args (@t1)) % 0.22/0.45 (step @p179 :rule cong :premises (@p178) :args (@t144)) % 0.22/0.45 (step @p180 :rule trans :premises (@p179 @p141)) % 0.22/0.45 (step @p181 :rule nary_cong :premises (@p160 @p180 @p177 @p176) :args (@t145)) % 0.22/0.45 (step @p182 :rule trans :premises (@p181 @p175)) % 0.22/0.45 (step @p183 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t147 @t80 @t146 @t76)) @t145))) % 0.22/0.45 (step @p184 :rule refl :args (@t76)) % 0.22/0.45 (step @p185 :rule refl :args (@t146)) % 0.22/0.45 (step @p186 :rule refl :args (@t80)) % 0.22/0.45 (step @p187 :rule refl :args (@t147)) % 0.22/0.45 (step @p188 :rule eq-symm :args (@t1 @t10)) % 0.22/0.45 (step @p189 :rule cong :premises (@p188) :args (@t80)) % 0.22/0.45 (step @p190 :rule nary_cong :premises (@p189 @p187 @p186 @p185 @p184) :args (@t148)) % 0.22/0.45 (step @p191 :rule aci_norm :args ((= @t149 @t148))) % 0.22/0.45 (step @p192 :rule trans :premises (@p191 @p190)) % 0.22/0.45 (step @p193 :rule cong :premises (@p192) :args (@t150)) % 0.22/0.45 (step @p194 :rule trans :premises (@p193 @p183)) % 0.22/0.45 (step @p195 :rule trans :premises (@p194 @p182)) % 0.22/0.45 (step @p196 :rule refl :args (@t79)) % 0.22/0.45 (step @p197 :rule nary_cong :premises (@p196 @p161 @p195) :args (@t151)) % 0.22/0.45 (step @p198 :rule trans :premises (@p197 @p174)) % 0.22/0.45 (step @p199 :rule quant-miniscope-or :args ((= (forall @t14 @t152) @t151))) % 0.22/0.45 (step @p200 :rule aci_norm :args ((= @t153 @t152))) % 0.22/0.45 (step @p201 :rule cong :premises (@p200) :args ((forall @t14 @t153))) % 0.22/0.45 (step @p202 :rule trans :premises (@p201 @p199)) % 0.22/0.45 (step @p203 :rule trans :premises (@p202 @p198)) % 0.22/0.45 (step @p204 :rule aci_norm :args ((= (or @t147 @t154) @t153))) % 0.22/0.45 (step @p205 :rule bool-impl-elim :args (@t13 @t154)) % 0.22/0.45 (step @p206 :rule trans :premises (@p205 @p204)) % 0.22/0.45 (step @p207 :rule cong :premises (@p206) :args ((forall @t14 (=> @t13 @t154)))) % 0.22/0.45 (step @p208 :rule trans :premises (@p207 @p203)) % 0.22/0.45 (step @p209 :rule aci_norm :args ((= (or @t101 (or @t100 (or @t120 @t99))) @t121))) % 0.22/0.45 (step @p210 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.22/0.45 (step @p211 :rule refl :args (@t100)) % 0.22/0.45 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t100 (not (and @t66 @t65))))) % 0.22/0.45 (step @p213 :rule bool-and-de-morgan :args (@t67 @t66 (and @t65))) % 0.22/0.45 (step @p214 :rule trans :premises (@p213 @p212)) % 0.22/0.45 (step @p215 :rule refl :args (@t101)) % 0.22/0.45 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or @t101 (not (and @t67 @t66 @t65))))) % 0.22/0.45 (step @p217 :rule bool-and-de-morgan :args (@t32 @t67 (and @t66 @t65))) % 0.22/0.45 (step @p218 :rule trans :premises (@p217 @p216)) % 0.22/0.45 (step @p219 :rule trans :premises (@p218 @p209)) % 0.22/0.45 (step @p220 :rule cong :premises (@p219) :args (@t155)) % 0.22/0.45 (step @p221 :rule cong :premises (@p220) :args (@t156)) % 0.22/0.45 (step @p222 :rule exists-elim :args ((= @t69 @t156))) % 0.22/0.45 (step @p223 :rule trans :premises (@p222 @p221)) % 0.22/0.45 (step @p224 :rule refl :args (@t71)) % 0.22/0.45 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t72)) % 0.22/0.45 (step @p226 :rule eq-symm :args (tptp.nil @t2)) % 0.22/0.45 (step @p227 :rule eq-symm :args (tptp.nil @t1)) % 0.22/0.45 (step @p228 :rule cong :premises (@p227) :args (@t62)) % 0.22/0.45 (step @p229 :rule nary_cong :premises (@p228 @p226) :args (@t73)) % 0.22/0.45 (step @p230 :rule nary_cong :premises (@p229 @p225) :args (@t74)) % 0.22/0.45 (step @p231 :rule refl :args (@t76)) % 0.22/0.45 (step @p232 :rule eq-symm :args (tptp.nil @t10)) % 0.22/0.45 (step @p233 :rule eq-symm :args (tptp.nil @t12)) % 0.22/0.45 (step @p234 :rule cong :premises (@p233) :args (@t77)) % 0.22/0.45 (step @p235 :rule nary_cong :premises (@p234 @p232) :args (@t78)) % 0.22/0.45 (step @p236 :rule refl :args (@t80)) % 0.22/0.45 (step @p237 :rule nary_cong :premises (@p236 @p196 @p235 @p231 @p230) :args (@t81)) % 0.22/0.45 (step @p238 :rule refl :args (@t13)) % 0.22/0.45 (step @p239 :rule cong :premises (@p238 @p237) :args (@t82)) % 0.22/0.45 (step @p240 :rule cong :premises (@p239) :args (@t83)) % 0.22/0.45 (step @p241 :rule trans :premises (@p240 @p208)) % 0.22/0.45 (step @p242 :rule refl :args (@t15)) % 0.22/0.45 (step @p243 :rule cong :premises (@p242 @p241) :args (@t84)) % 0.22/0.45 (step @p244 :rule cong :premises (@p243) :args (@t85)) % 0.22/0.45 (step @p245 :rule trans :premises (@p244 @p173)) % 0.22/0.45 (step @p246 :rule refl :args (@t21)) % 0.22/0.45 (step @p247 :rule cong :premises (@p246 @p245) :args (@t86)) % 0.22/0.45 (step @p248 :rule cong :premises (@p247) :args (@t87)) % 0.22/0.45 (step @p249 :rule trans :premises (@p248 @p136)) % 0.22/0.45 (step @p250 :rule refl :args (@t17)) % 0.22/0.45 (step @p251 :rule cong :premises (@p250 @p249) :args (@t88)) % 0.22/0.45 (step @p252 :rule cong :premises (@p251) :args (@t89)) % 0.22/0.45 (step @p253 :rule trans :premises (@p252 @p127)) % 0.22/0.45 (step @p254 :rule cong :premises (@p253) :args (@t90)) % 0.22/0.45 (step @p255 :rule eq_resolve :premises (@p96 @p254)) % 0.22/0.45 (step @p256 :rule refl :args (@t183)) % 0.22/0.45 (step @p257 :rule bool-double-not-elim :args (@t158)) % 0.22/0.45 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or (not @t184) @t183))) % 0.22/0.45 (step @p259 :rule refl :args (@t167)) % 0.22/0.45 (step @p260 :rule refl :args (@t168)) % 0.22/0.45 (step @p261 :rule eq-symm :args (@t159 tptp.nil)) % 0.22/0.45 (step @p262 :rule cong :premises (@p261) :args (@t186)) % 0.22/0.45 (step @p263 :rule nary_cong :premises (@p262 @p260) :args (@t187)) % 0.22/0.45 (step @p264 :rule refl :args (@t175)) % 0.22/0.45 (step @p265 :rule refl :args (@t176)) % 0.22/0.45 (step @p266 :rule nary_cong :premises (@p265 @p261) :args (@t188)) % 0.22/0.45 (step @p267 :rule nary_cong :premises (@p266 @p264) :args (@t189)) % 0.22/0.45 (step @p268 :rule refl :args (@t179)) % 0.22/0.45 (step @p269 :rule refl :args (@t181)) % 0.22/0.45 (step @p270 :rule nary_cong :premises (@p269 @p268 @p267 @p263 @p259) :args (@t190)) % 0.22/0.45 (step @p271 :rule cong :premises (@p270) :args (@t191)) % 0.22/0.45 (step @p272 :rule refl :args (@t184)) % 0.22/0.45 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t184 @t191))) % 0.22/0.45 (assume-push @p351 @t184) % 0.22/0.45 (step @p275 :rule skolemize :premises (@p255)) % 0.22/0.45 (step-pop @p352 :rule scope :premises (@p275)) % 0.22/0.45 (step @p276 :rule process_scope :premises (@p352) :args (@t191)) % 0.22/0.45 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 0.22/0.45 (step @p279 :rule implies_elim :premises (@p278)) % 0.22/0.45 (step @p280 :rule eq_resolve :premises (@p279 @p258)) % 0.22/0.45 (step @p281 :rule chain_m_resolution :premises (@p280 @p255) :args (@t183 @t192 (@list @t158))) % 0.22/0.45 (step @p282 :rule cnf_or_neg :args (@t182 3)) % 0.22/0.45 (step @p283 :rule chain_m_resolution :premises (@p282 @p281) :args ((not @t171) @t192 @t193)) % 0.22/0.45 (step @p284 :rule bool-double-not-elim :args (@t166)) % 0.22/0.45 (step @p285 :rule nary_cong :premises (@p264 @p284) :args ((or @t175 (not @t174)))) % 0.22/0.45 (step @p286 :rule cnf_or_neg :args (@t175 0)) % 0.22/0.45 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.22/0.45 (step @p288 :rule reordering :premises (@p287) :args ((or @t166 @t175))) % 0.22/0.45 (step @p289 :rule bool-double-not-elim :args (@t172)) % 0.22/0.45 (step @p290 :rule nary_cong :premises (@p264 @p289) :args ((or @t175 (not @t173)))) % 0.22/0.45 (step @p291 :rule cnf_or_neg :args (@t175 1)) % 0.22/0.45 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.22/0.45 (step @p293 :rule reordering :premises (@p292) :args ((or @t172 @t175))) % 0.22/0.45 (step @p294 :rule cnf_or_neg :args (@t182 4)) % 0.22/0.45 (step @p295 :rule chain_m_resolution :premises (@p294 @p281) :args ((not @t167) @t192 @t193)) % 0.22/0.45 (step @p296 :rule cnf_and_neg :args (@t167)) % 0.22/0.45 (step @p297 :rule reordering :premises (@p296) :args ((or @t174 @t167 (not @t165)))) % 0.22/0.45 (assume-push @p353 @t172) % 0.22/0.45 (step @p299 :rule instantiate :premises (@p353) :args (@t194)) % 0.22/0.45 (step-pop @p354 :rule scope :premises (@p299)) % 0.22/0.45 (step @p300 :rule process_scope :premises (@p354) :args (@t197)) % 0.22/0.45 (step @p302 :rule implies_elim :premises (@p300)) % 0.22/0.45 (step @p303 :rule bool-double-not-elim :args (@t163)) % 0.22/0.45 (step @p304 :rule refl :args (@t165)) % 0.22/0.45 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t165 (not @t164)))) % 0.22/0.45 (step @p306 :rule cnf_or_neg :args (@t165 0)) % 0.22/0.45 (step @p307 :rule eq_resolve :premises (@p306 @p305)) % 0.22/0.45 (step @p308 :rule reordering :premises (@p307) :args ((or @t163 @t165))) % 0.22/0.45 (step @p309 :rule bool-double-not-elim :args (@t161)) % 0.22/0.45 (step @p310 :rule nary_cong :premises (@p304 @p309) :args ((or @t165 (not @t162)))) % 0.22/0.45 (step @p311 :rule cnf_or_neg :args (@t165 1)) % 0.22/0.45 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.22/0.45 (step @p313 :rule reordering :premises (@p312) :args ((or @t161 @t165))) % 0.22/0.45 (step @p314 :rule bool-double-not-elim :args (@t180)) % 0.22/0.45 (step @p315 :rule refl :args (@t182)) % 0.22/0.45 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t182 (not @t181)))) % 0.22/0.45 (step @p317 :rule cnf_or_neg :args (@t182 0)) % 0.22/0.45 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 0.22/0.45 (step @p319 :rule reordering :premises (@p318) :args ((or @t180 @t182))) % 0.22/0.45 (step @p320 :rule chain_m_resolution :premises (@p319 @p281) :args (@t180 @t192 @t193)) % 0.22/0.45 (step @p321 :rule bool-impl-elim :args (@t17 @t57)) % 0.22/0.45 (step @p322 :rule cong :premises (@p321) :args (@t58)) % 0.22/0.45 (step @p323 :rule eq_resolve :premises (@p55 @p322)) % 0.22/0.45 (step @p324 :rule instantiate :premises (@p323) :args (@t194)) % 0.22/0.45 (step @p325 :rule cnf_or_pos :args (@t198)) % 0.22/0.45 (step @p326 :rule reordering :premises (@p325) :args ((or @t181 @t195 (not @t198)))) % 0.22/0.45 (step @p327 :rule chain_m_resolution :premises (@p326 @p320 @p324) :args (@t195 (@list false false) (@list @t180 @t198))) % 0.22/0.45 (step @p328 :rule cnf_or_pos :args (@t197)) % 0.22/0.45 (step @p329 :rule reordering :premises (@p328) :args ((or @t181 @t164 @t162 @t196 (not @t197)))) % 0.22/0.45 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p320 @p313 @p308 @p302 @p297 @p295 @p293 @p288) :args (@t175 (@list false false false false false true true false false) (@list @t195 @t180 @t161 @t163 @t197 @t165 @t167 @t172 @t166))) % 0.22/0.45 (step @p331 :rule cnf_or_neg :args (@t182 2)) % 0.22/0.45 (step @p332 :rule chain_m_resolution :premises (@p331 @p281) :args ((not @t178) @t192 @t193)) % 0.22/0.45 (step @p333 :rule cnf_and_neg :args (@t178)) % 0.22/0.45 (step @p334 :rule chain_m_resolution :premises (@p333 @p332 @p330) :args ((not @t177) (@list true false) (@list @t178 @t175))) % 0.22/0.45 (step @p335 :rule bool-double-not-elim :args (@t168)) % 0.22/0.45 (step @p336 :rule refl :args (@t177)) % 0.22/0.45 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t177 (not @t176)))) % 0.22/0.45 (step @p338 :rule cnf_or_neg :args (@t177 0)) % 0.22/0.45 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 0.22/0.45 (step @p340 :rule reordering :premises (@p339) :args ((or @t168 @t177))) % 0.22/0.45 (step @p341 :rule chain_m_resolution :premises (@p340 @p334) :args (@t168 @t192 @t199)) % 0.22/0.45 (step @p342 :rule cnf_or_neg :args (@t177 1)) % 0.22/0.45 (step @p343 :rule chain_m_resolution :premises (@p342 @p334) :args (@t170 @t192 @t199)) % 0.22/0.45 (step @p344 :rule bool-double-not-elim :args (@t169)) % 0.22/0.45 (step @p345 :rule refl :args (@t171)) % 0.22/0.45 (step @p346 :rule nary_cong :premises (@p345 @p344 @p265) :args ((or @t171 (not @t170) @t176))) % 0.22/0.45 (step @p347 :rule cnf_and_neg :args (@t171)) % 0.22/0.45 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 0.22/0.45 (step @p349 :rule reordering :premises (@p348) :args ((or @t176 @t169 @t171))) % 0.22/0.45 (step @p350 false :rule chain_m_resolution :premises (@p349 @p343 @p341 @p283) :args (false (@list true false true) (@list @t169 @t168 @t171))) % 0.22/0.45 ) % 0.22/0.45 % SZS output end Proof % 0.22/0.45 % cvc5 exiting %------------------------------------------------------------------------------