%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC037+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:57:47 AM UTC 2026 % Result : Theorem 0.46s 0.69s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC037+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 19:10:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.69 % SZS status Theorem % 0.46/0.69 % SZS output start Proof % 0.46/0.69 ( % 0.46/0.69 (declare-sort $$unsorted 0) % 0.46/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.nil $$unsorted) % 0.46/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.46/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.46/0.69 (define @t3 () (= @t2 @t1)) % 0.46/0.69 (define @t4 () (not @t3)) % 0.46/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.46/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.46/0.69 (define @t7 () (@list @t1)) % 0.46/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.46/0.69 (define @t9 () (@list @t2)) % 0.46/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.46/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.46/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.46/0.69 (define @t13 () (tptp.ssList @t10)) % 0.46/0.69 (define @t14 () (@list @t10)) % 0.46/0.69 (define @t15 () (tptp.ssList @t12)) % 0.46/0.69 (define @t16 () (@list @t12)) % 0.46/0.69 (define @t17 () (tptp.ssList @t2)) % 0.46/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.46/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.46/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.46/0.69 (define @t21 () (tptp.ssList @t1)) % 0.46/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.46/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.46/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.46/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.46/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.46/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.46/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.46/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.46/0.69 (define @t30 () (tptp.ssList @t27)) % 0.46/0.69 (define @t31 () (@list @t27)) % 0.46/0.69 (define @t32 () (tptp.ssList @t28)) % 0.46/0.69 (define @t33 () (@list @t28)) % 0.46/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.46/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.46/0.69 (define @t36 () (= @t1 @t12)) % 0.46/0.69 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.46/0.69 (define @t38 () (=> @t17 @t37)) % 0.46/0.69 (define @t39 () (forall @t9 @t38)) % 0.46/0.69 (define @t40 () (tptp.cons @t1 @t2)) % 0.46/0.69 (define @t41 () (tptp.ssList tptp.nil)) % 0.46/0.69 (define @t42 () (= @t1 @t2)) % 0.46/0.69 (define @t43 () (tptp.cons @t12 @t1)) % 0.46/0.69 (define @t44 () (= tptp.nil @t2)) % 0.46/0.69 (define @t45 () (tptp.hd @t2)) % 0.46/0.69 (define @t46 () (not @t44)) % 0.46/0.69 (define @t47 () (tptp.tl @t2)) % 0.46/0.69 (define @t48 () (tptp.app @t2 @t1)) % 0.46/0.69 (define @t49 () (tptp.app @t1 @t2)) % 0.46/0.69 (define @t50 () (tptp.leq @t1 @t2)) % 0.46/0.69 (define @t51 () (tptp.leq @t2 @t1)) % 0.46/0.69 (define @t52 () (tptp.geq @t2 @t1)) % 0.46/0.69 (define @t53 () (tptp.lt @t1 @t2)) % 0.46/0.69 (define @t54 () (tptp.lt @t2 @t1)) % 0.46/0.69 (define @t55 () (tptp.lt @t2 @t12)) % 0.46/0.69 (define @t56 () (tptp.gt @t2 @t1)) % 0.46/0.69 (define @t57 () (tptp.memberP @t12 @t2)) % 0.46/0.69 (define @t58 () (tptp.app @t12 @t2)) % 0.46/0.69 (define @t59 () (tptp.segmentP @t1 @t2)) % 0.46/0.69 (define @t60 () (and @t24 @t59)) % 0.46/0.69 (define @t61 () (=> @t60 @t3)) % 0.46/0.69 (define @t62 () (forall @t7 (=> @t21 @t61))) % 0.46/0.69 (define @t63 () (=> @t17 @t62)) % 0.46/0.69 (define @t64 () (forall @t9 @t63)) % 0.46/0.69 (define @t65 () (tptp.segmentP @t2 tptp.nil)) % 0.46/0.69 (define @t66 () (forall @t9 (=> @t17 @t65))) % 0.46/0.69 (define @t67 () (tptp.cons @t2 tptp.nil)) % 0.46/0.69 (define @t68 () (tptp.hd @t1)) % 0.46/0.69 (define @t69 () (= tptp.nil @t1)) % 0.46/0.69 (define @t70 () (not @t69)) % 0.46/0.69 (define @t71 () (tptp.cons @t2 @t1)) % 0.46/0.69 (define @t72 () (= @t12 @t2)) % 0.46/0.69 (define @t73 () (not (= tptp.nil @t12))) % 0.46/0.69 (define @t74 () (not (= tptp.nil @t10))) % 0.46/0.69 (define @t75 () (or @t74 @t73)) % 0.46/0.69 (define @t76 () (not (tptp.segmentP @t12 @t28))) % 0.46/0.69 (define @t77 () (not (tptp.segmentP @t10 @t28))) % 0.46/0.69 (define @t78 () (not (tptp.neq @t28 tptp.nil))) % 0.46/0.69 (define @t79 () (or @t78 @t77 @t76)) % 0.46/0.69 (define @t80 () (forall @t33 (=> @t32 @t79))) % 0.46/0.69 (define @t81 () (and @t80 @t75)) % 0.46/0.69 (define @t82 () (not (= @t2 @t12))) % 0.46/0.69 (define @t83 () (not (= @t1 @t10))) % 0.46/0.69 (define @t84 () (or @t70 @t83 @t82 @t44 @t81)) % 0.46/0.69 (define @t85 () (=> @t13 @t84)) % 0.46/0.69 (define @t86 () (forall @t14 @t85)) % 0.46/0.69 (define @t87 () (=> @t15 @t86)) % 0.46/0.69 (define @t88 () (forall @t16 @t87)) % 0.46/0.69 (define @t89 () (=> @t21 @t88)) % 0.46/0.69 (define @t90 () (forall @t7 @t89)) % 0.46/0.69 (define @t91 () (=> @t17 @t90)) % 0.46/0.69 (define @t92 () (forall @t9 @t91)) % 0.46/0.69 (define @t93 () (not @t92)) % 0.46/0.69 (define @t94 () (= @t2 tptp.nil)) % 0.46/0.69 (define @t95 () (not @t94)) % 0.46/0.69 (define @t96 () (@var "BOUND_VARIABLE_11110" $$unsorted)) % 0.46/0.69 (define @t97 () (or (not (tptp.ssList @t96)) (not (tptp.neq @t96 tptp.nil)) (not (tptp.segmentP tptp.nil @t96)) (not (tptp.segmentP @t2 @t96)))) % 0.46/0.69 (define @t98 () (and @t97 @t95)) % 0.46/0.69 (define @t99 () (not @t17)) % 0.46/0.69 (define @t100 () (or @t99 @t94 @t98)) % 0.46/0.69 (define @t101 () (forall (@list @t2 @t96) @t100)) % 0.46/0.69 (define @t102 () (@list @t96)) % 0.46/0.69 (define @t103 () (forall @t102 @t100)) % 0.46/0.69 (define @t104 () (forall @t102 @t95)) % 0.46/0.69 (define @t105 () (forall @t102 @t97)) % 0.46/0.69 (define @t106 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.46/0.69 (define @t107 () (@list @t106)) % 0.46/0.69 (define @t108 () (and @t105 @t104)) % 0.46/0.69 (define @t109 () (forall @t102 @t98)) % 0.46/0.69 (define @t110 () (or @t99 @t94 @t109)) % 0.46/0.69 (define @t111 () (and (forall (@list @t106) (or (not (tptp.ssList @t106)) (not (tptp.neq @t106 tptp.nil)) (not (tptp.segmentP tptp.nil @t106)) (not (tptp.segmentP @t2 @t106)))) @t95)) % 0.46/0.69 (define @t112 () (or @t99 @t94 @t111)) % 0.46/0.69 (define @t113 () (forall @t9 @t112)) % 0.46/0.69 (define @t114 () (not @t41)) % 0.46/0.69 (define @t115 () (or @t114 @t113)) % 0.46/0.69 (define @t116 () (or @t114 @t112)) % 0.46/0.69 (define @t117 () (or @t99 @t94 @t114 @t111)) % 0.46/0.69 (define @t118 () (or @t94 @t99 @t114 @t111)) % 0.46/0.69 (define @t119 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 0.46/0.69 (define @t120 () (@list @t119)) % 0.46/0.69 (define @t121 () (forall @t120 @t95)) % 0.46/0.69 (define @t122 () (not (tptp.segmentP @t2 @t119))) % 0.46/0.69 (define @t123 () (not (tptp.neq @t119 tptp.nil))) % 0.46/0.69 (define @t124 () (not (tptp.ssList @t119))) % 0.46/0.69 (define @t125 () (or @t124 @t123 (not (tptp.segmentP tptp.nil @t119)) @t122)) % 0.46/0.69 (define @t126 () (forall @t120 @t125)) % 0.46/0.69 (define @t127 () (@list @t119)) % 0.46/0.69 (define @t128 () (and @t126 @t121)) % 0.46/0.69 (define @t129 () (and @t125 @t95)) % 0.46/0.69 (define @t130 () (forall @t120 @t129)) % 0.46/0.69 (define @t131 () (or @t114 @t130)) % 0.46/0.69 (define @t132 () (or @t114 @t129)) % 0.46/0.69 (define @t133 () (not (= tptp.nil tptp.nil))) % 0.46/0.69 (define @t134 () (or @t133 @t95)) % 0.46/0.69 (define @t135 () (and @t125 @t134)) % 0.46/0.69 (define @t136 () (or @t114 @t133 @t135)) % 0.46/0.69 (define @t137 () (not (= @t1 tptp.nil))) % 0.46/0.69 (define @t138 () (or @t137 @t95)) % 0.46/0.69 (define @t139 () (or @t124 @t123 (not (tptp.segmentP @t1 @t119)) @t122)) % 0.46/0.69 (define @t140 () (and @t139 @t138)) % 0.46/0.69 (define @t141 () (not @t21)) % 0.46/0.69 (define @t142 () (or @t137 @t141 @t137 @t140)) % 0.46/0.69 (define @t143 () (or @t141 @t137 @t140)) % 0.46/0.69 (define @t144 () (forall @t7 @t143)) % 0.46/0.69 (define @t145 () (forall @t120 @t144)) % 0.46/0.69 (define @t146 () (forall (@list @t119 @t1) @t143)) % 0.46/0.69 (define @t147 () (forall (@list @t1 @t119) @t143)) % 0.46/0.69 (define @t148 () (forall @t120 @t143)) % 0.46/0.69 (define @t149 () (forall @t120 @t138)) % 0.46/0.69 (define @t150 () (forall @t120 @t139)) % 0.46/0.69 (define @t151 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 0.46/0.69 (define @t152 () (@list @t151)) % 0.46/0.69 (define @t153 () (and @t150 @t149)) % 0.46/0.69 (define @t154 () (forall @t120 @t140)) % 0.46/0.69 (define @t155 () (or @t141 @t137 @t154)) % 0.46/0.69 (define @t156 () (and (forall (@list @t151) (or (not (tptp.ssList @t151)) (not (tptp.neq @t151 tptp.nil)) (not (tptp.segmentP @t1 @t151)) (not (tptp.segmentP @t2 @t151)))) @t138)) % 0.46/0.69 (define @t157 () (or @t141 @t137 @t156)) % 0.46/0.69 (define @t158 () (forall @t7 @t157)) % 0.46/0.69 (define @t159 () (or @t94 @t99 @t158)) % 0.46/0.69 (define @t160 () (or @t94 @t99 @t157)) % 0.46/0.69 (define @t161 () (or @t141 @t137 @t94 @t99 @t156)) % 0.46/0.69 (define @t162 () (or @t137 @t94 @t141 @t99 @t156)) % 0.46/0.69 (define @t163 () (@var "BOUND_VARIABLE_10995" $$unsorted)) % 0.46/0.69 (define @t164 () (@list @t163)) % 0.46/0.69 (define @t165 () (forall @t164 @t138)) % 0.46/0.69 (define @t166 () (not (tptp.segmentP @t1 @t163))) % 0.46/0.69 (define @t167 () (not (tptp.neq @t163 tptp.nil))) % 0.46/0.69 (define @t168 () (not (tptp.ssList @t163))) % 0.46/0.69 (define @t169 () (or @t168 @t167 @t166 (not (tptp.segmentP @t2 @t163)))) % 0.46/0.69 (define @t170 () (forall @t164 @t169)) % 0.46/0.69 (define @t171 () (@list @t163)) % 0.46/0.69 (define @t172 () (and @t170 @t165)) % 0.46/0.69 (define @t173 () (and @t169 @t138)) % 0.46/0.69 (define @t174 () (forall @t164 @t173)) % 0.46/0.69 (define @t175 () (or @t99 @t174)) % 0.46/0.69 (define @t176 () (or @t99 @t173)) % 0.46/0.69 (define @t177 () (not (= @t2 @t2))) % 0.46/0.69 (define @t178 () (or @t99 @t177 @t173)) % 0.46/0.69 (define @t179 () (not (= @t12 tptp.nil))) % 0.46/0.69 (define @t180 () (or @t137 @t179)) % 0.46/0.69 (define @t181 () (or @t168 @t167 @t166 (not (tptp.segmentP @t12 @t163)))) % 0.46/0.69 (define @t182 () (and @t181 @t180)) % 0.46/0.69 (define @t183 () (not @t15)) % 0.46/0.69 (define @t184 () (or @t82 @t183 @t82 @t182)) % 0.46/0.69 (define @t185 () (or @t183 @t82 @t182)) % 0.46/0.69 (define @t186 () (forall @t16 @t185)) % 0.46/0.69 (define @t187 () (forall @t164 @t186)) % 0.46/0.69 (define @t188 () (forall (@list @t163 @t12) @t185)) % 0.46/0.69 (define @t189 () (forall (@list @t12 @t163) @t185)) % 0.46/0.69 (define @t190 () (forall @t164 @t185)) % 0.46/0.69 (define @t191 () (forall @t164 @t180)) % 0.46/0.69 (define @t192 () (forall @t164 @t181)) % 0.46/0.69 (define @t193 () (@var "BOUND_VARIABLE_10969" $$unsorted)) % 0.46/0.69 (define @t194 () (@list @t193)) % 0.46/0.69 (define @t195 () (and @t192 @t191)) % 0.46/0.69 (define @t196 () (forall @t164 @t182)) % 0.46/0.69 (define @t197 () (or @t183 @t82 @t196)) % 0.46/0.69 (define @t198 () (and (forall (@list @t193) (or (not (tptp.ssList @t193)) (not (tptp.neq @t193 tptp.nil)) (not (tptp.segmentP @t1 @t193)) (not (tptp.segmentP @t12 @t193)))) @t180)) % 0.46/0.69 (define @t199 () (or @t183 @t82 @t198)) % 0.46/0.69 (define @t200 () (forall @t16 @t199)) % 0.46/0.69 (define @t201 () (or @t137 @t94 @t141 @t200)) % 0.46/0.69 (define @t202 () (or @t137 @t94 @t141 @t199)) % 0.46/0.69 (define @t203 () (or @t183 @t137 @t82 @t94 @t141 @t198)) % 0.46/0.69 (define @t204 () (or @t137 @t82 @t94 @t141 @t198)) % 0.46/0.69 (define @t205 () (@var "BOUND_VARIABLE_10941" $$unsorted)) % 0.46/0.69 (define @t206 () (@list @t205)) % 0.46/0.69 (define @t207 () (forall @t206 @t180)) % 0.46/0.69 (define @t208 () (not (tptp.segmentP @t12 @t205))) % 0.46/0.69 (define @t209 () (not (tptp.neq @t205 tptp.nil))) % 0.46/0.69 (define @t210 () (not (tptp.ssList @t205))) % 0.46/0.69 (define @t211 () (or @t210 @t209 (not (tptp.segmentP @t1 @t205)) @t208)) % 0.46/0.69 (define @t212 () (forall @t206 @t211)) % 0.46/0.69 (define @t213 () (@list @t205)) % 0.46/0.69 (define @t214 () (and @t212 @t207)) % 0.46/0.69 (define @t215 () (and @t211 @t180)) % 0.46/0.69 (define @t216 () (forall @t206 @t215)) % 0.46/0.69 (define @t217 () (or @t141 @t216)) % 0.46/0.69 (define @t218 () (or @t141 @t215)) % 0.46/0.69 (define @t219 () (not (= @t1 @t1))) % 0.46/0.69 (define @t220 () (or @t141 @t219 @t215)) % 0.46/0.69 (define @t221 () (or (not (= @t10 tptp.nil)) @t179)) % 0.46/0.69 (define @t222 () (or @t210 @t209 (not (tptp.segmentP @t10 @t205)) @t208)) % 0.46/0.69 (define @t223 () (and @t222 @t221)) % 0.46/0.69 (define @t224 () (not @t13)) % 0.46/0.69 (define @t225 () (or @t83 @t224 @t83 @t223)) % 0.46/0.69 (define @t226 () (or @t224 @t83 @t223)) % 0.46/0.69 (define @t227 () (forall @t14 @t226)) % 0.46/0.69 (define @t228 () (forall @t206 @t227)) % 0.46/0.69 (define @t229 () (forall (@list @t205 @t10) @t226)) % 0.46/0.69 (define @t230 () (forall (@list @t10 @t205) @t226)) % 0.46/0.69 (define @t231 () (forall @t206 @t226)) % 0.46/0.69 (define @t232 () (forall @t206 @t221)) % 0.46/0.69 (define @t233 () (forall @t206 @t222)) % 0.46/0.69 (define @t234 () (and @t233 @t232)) % 0.46/0.69 (define @t235 () (forall @t206 @t223)) % 0.46/0.69 (define @t236 () (or @t224 @t83 @t235)) % 0.46/0.69 (define @t237 () (not @t32)) % 0.46/0.69 (define @t238 () (or @t237 @t78 @t77 @t76)) % 0.46/0.69 (define @t239 () (and (forall @t33 @t238) @t221)) % 0.46/0.69 (define @t240 () (or @t224 @t83 @t239)) % 0.46/0.69 (define @t241 () (forall @t14 @t240)) % 0.46/0.69 (define @t242 () (or @t137 @t82 @t94 @t241)) % 0.46/0.69 (define @t243 () (or @t137 @t82 @t94 @t240)) % 0.46/0.69 (define @t244 () (or @t224 @t137 @t83 @t82 @t94 @t239)) % 0.46/0.69 (define @t245 () (or @t137 @t83 @t82 @t94 @t239)) % 0.46/0.69 (define @t246 () (@quantifiers_skolemize @t101 0)) % 0.46/0.69 (define @t247 () (= tptp.nil @t246)) % 0.46/0.69 (define @t248 () (not @t247)) % 0.46/0.69 (define @t249 () (@quantifiers_skolemize @t101 1)) % 0.46/0.69 (define @t250 () (tptp.segmentP tptp.nil @t249)) % 0.46/0.69 (define @t251 () (not @t250)) % 0.46/0.69 (define @t252 () (tptp.neq @t249 tptp.nil)) % 0.46/0.69 (define @t253 () (not @t252)) % 0.46/0.69 (define @t254 () (tptp.ssList @t249)) % 0.46/0.69 (define @t255 () (not @t254)) % 0.46/0.69 (define @t256 () (or @t255 @t253 @t251 (not (tptp.segmentP @t246 @t249)))) % 0.46/0.69 (define @t257 () (and @t256 @t248)) % 0.46/0.69 (define @t258 () (not (tptp.ssList @t246))) % 0.46/0.69 (define @t259 () (or @t258 @t247 @t257)) % 0.46/0.69 (define @t260 () (not @t259)) % 0.46/0.69 (define @t261 () (not @t101)) % 0.46/0.69 (define @t262 () (= @t246 tptp.nil)) % 0.46/0.69 (define @t263 () (not @t262)) % 0.46/0.69 (define @t264 () (and @t256 @t263)) % 0.46/0.69 (define @t265 () (or @t258 @t262 @t264)) % 0.46/0.69 (define @t266 () (not @t265)) % 0.46/0.69 (define @t267 () (@list true)) % 0.46/0.69 (define @t268 () (@list @t259)) % 0.46/0.69 (define @t269 () (not @t256)) % 0.46/0.69 (define @t270 () (@list @t256)) % 0.46/0.69 (define @t271 () (@var "BOUND_VARIABLE_10131" $$unsorted)) % 0.46/0.69 (define @t272 () (= @t2 @t271)) % 0.46/0.69 (define @t273 () (not (tptp.segmentP @t271 @t2))) % 0.46/0.69 (define @t274 () (not (tptp.segmentP @t2 @t271))) % 0.46/0.69 (define @t275 () (not (tptp.ssList @t271))) % 0.46/0.69 (define @t276 () (or @t275 @t274 @t273 @t272)) % 0.46/0.69 (define @t277 () (or @t99 @t276)) % 0.46/0.69 (define @t278 () (forall (@list @t2 @t271) @t277)) % 0.46/0.69 (define @t279 () (@list @t271)) % 0.46/0.69 (define @t280 () (forall @t279 @t277)) % 0.46/0.69 (define @t281 () (forall @t279 @t276)) % 0.46/0.69 (define @t282 () (@list @t1)) % 0.46/0.69 (define @t283 () (or @t99 @t281)) % 0.46/0.69 (define @t284 () (not @t59)) % 0.46/0.69 (define @t285 () (not @t24)) % 0.46/0.69 (define @t286 () (or @t141 @t285 @t284 @t3)) % 0.46/0.69 (define @t287 () (forall @t7 @t286)) % 0.46/0.69 (define @t288 () (or @t285 @t284 @t3)) % 0.46/0.69 (define @t289 () (tptp.segmentP @t249 tptp.nil)) % 0.46/0.69 (define @t290 () (or @t255 @t289)) % 0.46/0.69 (define @t291 () (@list false false)) % 0.46/0.69 (define @t292 () (@var "BOUND_VARIABLE_9102" $$unsorted)) % 0.46/0.69 (define @t293 () (= (tptp.neq @t2 @t292) (not (= @t2 @t292)))) % 0.46/0.69 (define @t294 () (not (tptp.ssList @t292))) % 0.46/0.69 (define @t295 () (or @t99 @t294 @t293)) % 0.46/0.69 (define @t296 () (or @t294 @t293)) % 0.46/0.69 (define @t297 () (or @t99 @t296)) % 0.46/0.69 (define @t298 () (@list @t2 @t292)) % 0.46/0.69 (define @t299 () (forall @t298 @t297)) % 0.46/0.69 (define @t300 () (@list @t292)) % 0.46/0.69 (define @t301 () (forall @t300 @t297)) % 0.46/0.69 (define @t302 () (forall @t300 @t296)) % 0.46/0.69 (define @t303 () (or @t99 @t302)) % 0.46/0.69 (define @t304 () (forall @t7 (or @t141 @t5))) % 0.46/0.69 (define @t305 () (not (= @t249 tptp.nil))) % 0.46/0.69 (define @t306 () (= @t252 @t305)) % 0.46/0.69 (define @t307 () (or @t255 @t114 @t306)) % 0.46/0.69 (define @t308 () (forall @t298 @t295)) % 0.46/0.69 (define @t309 () (= tptp.nil @t249)) % 0.46/0.69 (define @t310 () (not @t309)) % 0.46/0.69 (define @t311 () (= @t252 @t310)) % 0.46/0.69 (define @t312 () (or @t255 @t114 @t311)) % 0.46/0.69 (define @t313 () (not @t289)) % 0.46/0.69 (define @t314 () (or @t114 @t255 @t251 @t313 @t309)) % 0.46/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.46/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.46/0.69 (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))))))))))) % 0.46/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.46/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.46/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.46/0.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.46/0.69 (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))))))))))))))))) % 0.46/0.69 (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)))))))))))))))) % 0.46/0.69 (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))))))))))))))))) % 0.46/0.69 (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))))))))))))))) % 0.46/0.69 (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))))))))))))))) % 0.46/0.69 (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)))))))))))))))) % 0.46/0.69 (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))))))))))))) % 0.46/0.69 (assume @p15 @t39) % 0.46/0.69 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.46/0.69 (assume @p17 @t41) % 0.46/0.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.46/0.69 (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) @t42))))))))))) % 0.46/0.69 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.46/0.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.46/0.69 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.46/0.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.46/0.69 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.46/0.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.46/0.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.46/0.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.46/0.69 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.46/0.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.46/0.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.46/0.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.46/0.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.46/0.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.46/0.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.46/0.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.46/0.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.46/0.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.46/0.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.46/0.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.46/0.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.46/0.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.46/0.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.46/0.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.46/0.69 (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)))))))))))) % 0.46/0.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.46/0.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.46/0.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.46/0.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.46/0.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.46/0.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1))))))))) % 0.46/0.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.46/0.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.46/0.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.46/0.69 (assume @p54 @t64) % 0.46/0.69 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.46/0.69 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1))))))))))) % 0.46/0.69 (assume @p57 @t66) % 0.46/0.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 0.46/0.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t67)))) % 0.46/0.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.46/0.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t67)))) % 0.46/0.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.46/0.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t67)))) % 0.46/0.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.46/0.69 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t67)))) % 0.46/0.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.46/0.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t71) (or @t69 (and @t70 (tptp.totalorderedP @t1) (tptp.leq @t2 @t68))))))))) % 0.46/0.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t67)))) % 0.46/0.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.46/0.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t71) (or @t69 (and @t70 (tptp.strictorderedP @t1) (tptp.lt @t2 @t68))))))))) % 0.46/0.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t67)))) % 0.46/0.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.46/0.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t67)))) % 0.46/0.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.46/0.69 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.46/0.69 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.46/0.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t70 @t46 (= @t68 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 0.46/0.69 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.46/0.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t72)))))))) % 0.46/0.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t72)))))))) % 0.46/0.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.46/0.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))))))))) % 0.46/0.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) (and @t69 @t44))))))) % 0.46/0.69 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.46/0.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 0.46/0.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 0.46/0.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 0.46/0.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.46/0.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.46/0.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.46/0.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.46/0.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.46/0.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.46/0.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.46/0.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.46/0.69 (assume @p96 @t93) % 0.46/0.69 (assume @p97 true) % 0.46/0.69 (step @p98 :rule quant-merge-prenex :args ((= (forall @t9 @t103) @t101))) % 0.46/0.69 (step @p99 :rule quant-unused-vars :args ((= @t104 @t95))) % 0.46/0.69 (step @p100 :rule alpha_equiv :args (@t105 (@list @t96) @t107)) % 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(step @p403 :rule cong :premises (@p402) :args ((forall @t9 (=> @t17 @t287)))) % 0.46/0.69 (step @p404 :rule trans :premises (@p403 @p401)) % 0.46/0.69 (step @p405 :rule aci_norm :args ((= (or @t141 @t288) @t286))) % 0.46/0.69 (step @p406 :rule aci_norm :args ((= (or (or @t285 @t284) @t3) @t288))) % 0.46/0.69 (step @p407 :rule refl :args (@t3)) % 0.46/0.69 (step @p408 :rule bool-and-de-morgan :args (@t24 @t59 true)) % 0.46/0.69 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or (not @t60) @t3))) % 0.46/0.69 (step @p410 :rule trans :premises (@p409 @p406)) % 0.46/0.69 (step @p411 :rule bool-impl-elim :args (@t60 @t3)) % 0.46/0.69 (step @p412 :rule trans :premises (@p411 @p410)) % 0.46/0.69 (step @p413 :rule nary_cong :premises (@p165 @p412) :args ((or @t141 @t61))) % 0.46/0.69 (step @p414 :rule trans :premises (@p413 @p405)) % 0.46/0.69 (step @p415 :rule bool-impl-elim :args (@t21 @t61)) % 0.46/0.69 (step @p416 :rule trans :premises (@p415 @p414)) % 0.46/0.69 (step @p417 :rule cong :premises (@p416) :args (@t62)) % 0.46/0.69 (step @p418 :rule cong :premises (@p337 @p417) :args (@t63)) % 0.46/0.69 (step @p419 :rule cong :premises (@p418) :args (@t64)) % 0.46/0.69 (step @p420 :rule trans :premises (@p419 @p404)) % 0.46/0.69 (step @p421 :rule eq_resolve :premises (@p54 @p420)) % 0.46/0.69 (step @p422 :rule instantiate :premises (@p421) :args ((@list tptp.nil @t249))) % 0.46/0.69 (step @p423 :rule bool-impl-elim :args (@t17 @t65)) % 0.46/0.69 (step @p424 :rule cong :premises (@p423) :args (@t66)) % 0.46/0.69 (step @p425 :rule eq_resolve :premises (@p57 @p424)) % 0.46/0.69 (step @p426 :rule instantiate :premises (@p425) :args ((@list @t249))) % 0.46/0.69 (step @p427 :rule cnf_or_pos :args (@t290)) % 0.46/0.69 (step @p428 :rule reordering :premises (@p427) :args ((or @t255 @t289 (not @t290)))) % 0.46/0.69 (step @p429 :rule chain_m_resolution :premises (@p428 @p384 @p426) :args (@t289 @t291 (@list @t254 @t290))) % 0.46/0.69 (step @p430 :rule aci_norm :args 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(@t21 @t5)) % 0.46/0.69 (step @p445 :rule cong :premises (@p444) :args (@t37)) % 0.46/0.69 (step @p446 :rule cong :premises (@p337 @p445) :args (@t38)) % 0.46/0.69 (step @p447 :rule cong :premises (@p446) :args (@t39)) % 0.46/0.69 (step @p448 :rule trans :premises (@p447 @p443)) % 0.46/0.69 (step @p449 :rule eq_resolve :premises (@p15 @p448)) % 0.46/0.69 (step @p450 :rule eq-symm :args (@t249 tptp.nil)) % 0.46/0.69 (step @p451 :rule cong :premises (@p450) :args (@t305)) % 0.46/0.69 (step @p452 :rule refl :args (@t252)) % 0.46/0.69 (step @p453 :rule cong :premises (@p452 @p451) :args (@t306)) % 0.46/0.69 (step @p454 :rule refl :args (@t255)) % 0.46/0.69 (step @p455 :rule nary_cong :premises (@p454 @p112 @p453) :args (@t307)) % 0.46/0.69 (step @p456 :rule refl :args (@t308)) % 0.46/0.69 (step @p457 :rule cong :premises (@p456 @p455) :args ((=> @t308 @t307))) % 0.46/0.69 (assume-push @p482 @t308) % 0.46/0.69 (step @p459 :rule instantiate :premises (@p449) :args ((@list @t249 tptp.nil))) % 0.46/0.69 (step-pop @p483 :rule scope :premises (@p459)) % 0.46/0.69 (step @p460 :rule process_scope :premises (@p483) :args (@t307)) % 0.46/0.69 (step @p462 :rule eq_resolve :premises (@p460 @p457)) % 0.46/0.69 (step @p463 :rule implies_elim :premises (@p462)) % 0.46/0.69 (step @p464 :rule chain_m_resolution :premises (@p463 @p449) :args (@t312 (@list false) (@list @t308))) % 0.46/0.69 (step @p465 :rule cnf_or_pos :args (@t312)) % 0.46/0.69 (step @p466 :rule reordering :premises (@p465) :args ((or @t114 @t255 @t311 (not @t312)))) % 0.46/0.69 (step @p467 :rule chain_m_resolution :premises (@p466 @p344 @p384 @p464) :args (@t311 (@list false false false) (@list @t41 @t254 @t312))) % 0.46/0.69 (step @p468 :rule bool-double-not-elim :args (@t252)) % 0.46/0.69 (step @p469 :rule nary_cong :premises (@p351 @p468) :args ((or @t256 (not @t253)))) % 0.46/0.69 (step @p470 :rule cnf_or_neg :args (@t256 1)) % 0.46/0.69 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 0.46/0.69 (step @p472 :rule reordering :premises (@p471) :args ((or @t252 @t256))) % 0.46/0.69 (step @p473 :rule chain_m_resolution :premises (@p472 @p378) :args (@t252 @t267 @t270)) % 0.46/0.69 (step @p474 :rule cnf_equiv_pos1 :args (@t311)) % 0.46/0.69 (step @p475 :rule reordering :premises (@p474) :args ((or @t253 @t310 (not @t311)))) % 0.46/0.69 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p467) :args (@t310 @t291 (@list @t252 @t311))) % 0.46/0.69 (step @p477 :rule cnf_or_pos :args (@t314)) % 0.46/0.69 (step @p478 :rule reordering :premises (@p477) :args ((or @t114 @t255 @t251 @t309 @t313 (not @t314)))) % 0.46/0.69 (step @p479 false :rule chain_m_resolution :premises (@p478 @p476 @p429 @p422 @p390 @p384 @p344) :args (false (@list true false false false false false) (@list @t309 @t289 @t314 @t250 @t254 @t41))) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.69 % cvc5 exiting %------------------------------------------------------------------------------