%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC063+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 : n023.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 08:57:54 AM UTC 2026 % Result : Theorem 18.96s 19.15s % Output : Proof 18.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC063+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 19:12:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 18.96/19.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.96/19.15 --- Run --no-e-matching --full-saturate-quant at 6... % 18.96/19.15 % SZS status Theorem % 18.96/19.15 % SZS output start Proof % 18.96/19.15 ( % 18.96/19.15 (declare-sort $$unsorted 0) % 18.96/19.15 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 18.96/19.15 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 18.96/19.15 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 18.96/19.15 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 18.96/19.15 (declare-const tptp.nil $$unsorted) % 18.96/19.15 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.ssList (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 18.96/19.15 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 18.96/19.15 (define @t1 () (@var "V" $$unsorted)) % 18.96/19.15 (define @t2 () (@var "U" $$unsorted)) % 18.96/19.15 (define @t3 () (= @t2 @t1)) % 18.96/19.15 (define @t4 () (not @t3)) % 18.96/19.15 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 18.96/19.15 (define @t6 () (tptp.ssItem @t1)) % 18.96/19.15 (define @t7 () (@list @t1)) % 18.96/19.15 (define @t8 () (tptp.ssItem @t2)) % 18.96/19.15 (define @t9 () (@list @t2)) % 18.96/19.15 (define @t10 () (@var "X" $$unsorted)) % 18.96/19.15 (define @t11 () (tptp.cons @t1 @t10)) % 18.96/19.15 (define @t12 () (@var "W" $$unsorted)) % 18.96/19.15 (define @t13 () (tptp.ssList @t10)) % 18.96/19.15 (define @t14 () (@list @t10)) % 18.96/19.15 (define @t15 () (tptp.ssList @t12)) % 18.96/19.15 (define @t16 () (@list @t12)) % 18.96/19.15 (define @t17 () (tptp.ssList @t2)) % 18.96/19.15 (define @t18 () (tptp.cons @t1 tptp.nil)) % 18.96/19.15 (define @t19 () (tptp.app @t1 @t12)) % 18.96/19.15 (define @t20 () (tptp.frontsegP @t2 @t1)) % 18.96/19.15 (define @t21 () (tptp.ssList @t1)) % 18.96/19.15 (define @t22 () (tptp.app @t12 @t1)) % 18.96/19.15 (define @t23 () (tptp.rearsegP @t2 @t1)) % 18.96/19.15 (define @t24 () (tptp.segmentP @t2 @t1)) % 18.96/19.15 (define @t25 () (tptp.leq @t12 @t1)) % 18.96/19.15 (define @t26 () (tptp.leq @t1 @t12)) % 18.96/19.15 (define @t27 () (@var "Z" $$unsorted)) % 18.96/19.15 (define @t28 () (@var "Y" $$unsorted)) % 18.96/19.15 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 18.96/19.15 (define @t30 () (tptp.ssList @t27)) % 18.96/19.15 (define @t31 () (@list @t27)) % 18.96/19.15 (define @t32 () (tptp.ssList @t28)) % 18.96/19.15 (define @t33 () (@list @t28)) % 18.96/19.15 (define @t34 () (tptp.ssItem @t12)) % 18.96/19.15 (define @t35 () (tptp.lt @t1 @t12)) % 18.96/19.15 (define @t36 () (= @t1 @t12)) % 18.96/19.15 (define @t37 () (forall @t7 (=> @t21 @t5))) % 18.96/19.15 (define @t38 () (=> @t17 @t37)) % 18.96/19.15 (define @t39 () (forall @t9 @t38)) % 18.96/19.15 (define @t40 () (tptp.cons @t1 @t2)) % 18.96/19.15 (define @t41 () (tptp.ssList @t40)) % 18.96/19.15 (define @t42 () (forall @t7 (=> @t6 @t41))) % 18.96/19.15 (define @t43 () (=> @t17 @t42)) % 18.96/19.15 (define @t44 () (forall @t9 @t43)) % 18.96/19.15 (define @t45 () (tptp.ssList tptp.nil)) % 18.96/19.15 (define @t46 () (= @t1 @t2)) % 18.96/19.15 (define @t47 () (tptp.cons @t12 @t1)) % 18.96/19.15 (define @t48 () (= tptp.nil @t2)) % 18.96/19.15 (define @t49 () (tptp.hd @t2)) % 18.96/19.15 (define @t50 () (not @t48)) % 18.96/19.15 (define @t51 () (tptp.tl @t2)) % 18.96/19.15 (define @t52 () (tptp.app @t2 @t1)) % 18.96/19.15 (define @t53 () (tptp.app @t1 @t2)) % 18.96/19.15 (define @t54 () (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))) % 18.96/19.15 (define @t55 () (forall @t16 (=> @t34 @t54))) % 18.96/19.15 (define @t56 () (=> @t21 @t55)) % 18.96/19.15 (define @t57 () (forall @t7 @t56)) % 18.96/19.15 (define @t58 () (=> @t17 @t57)) % 18.96/19.15 (define @t59 () (forall @t9 @t58)) % 18.96/19.15 (define @t60 () (tptp.app tptp.nil @t2)) % 18.96/19.15 (define @t61 () (=> @t17 (= @t60 @t2))) % 18.96/19.15 (define @t62 () (forall @t9 @t61)) % 18.96/19.15 (define @t63 () (tptp.leq @t1 @t2)) % 18.96/19.15 (define @t64 () (tptp.leq @t2 @t1)) % 18.96/19.15 (define @t65 () (tptp.geq @t2 @t1)) % 18.96/19.15 (define @t66 () (tptp.lt @t1 @t2)) % 18.96/19.15 (define @t67 () (tptp.lt @t2 @t1)) % 18.96/19.15 (define @t68 () (tptp.lt @t2 @t12)) % 18.96/19.15 (define @t69 () (tptp.gt @t2 @t1)) % 18.96/19.15 (define @t70 () (tptp.memberP @t12 @t2)) % 18.96/19.15 (define @t71 () (tptp.app @t12 @t2)) % 18.96/19.15 (define @t72 () (tptp.segmentP @t2 @t2)) % 18.96/19.15 (define @t73 () (forall @t9 (=> @t17 @t72))) % 18.96/19.15 (define @t74 () (tptp.segmentP (tptp.app @t71 @t10) @t1)) % 18.96/19.15 (define @t75 () (=> @t24 @t74)) % 18.96/19.15 (define @t76 () (forall @t14 (=> @t13 @t75))) % 18.96/19.15 (define @t77 () (=> @t15 @t76)) % 18.96/19.15 (define @t78 () (forall @t16 @t77)) % 18.96/19.15 (define @t79 () (=> @t21 @t78)) % 18.96/19.15 (define @t80 () (forall @t7 @t79)) % 18.96/19.15 (define @t81 () (=> @t17 @t80)) % 18.96/19.15 (define @t82 () (forall @t9 @t81)) % 18.96/19.15 (define @t83 () (tptp.cons @t2 tptp.nil)) % 18.96/19.15 (define @t84 () (tptp.hd @t1)) % 18.96/19.15 (define @t85 () (= tptp.nil @t1)) % 18.96/19.15 (define @t86 () (not @t85)) % 18.96/19.15 (define @t87 () (tptp.cons @t2 @t1)) % 18.96/19.15 (define @t88 () (= @t12 @t2)) % 18.96/19.15 (define @t89 () (tptp.app @t2 tptp.nil)) % 18.96/19.15 (define @t90 () (=> @t17 (= @t89 @t2))) % 18.96/19.15 (define @t91 () (forall @t9 @t90)) % 18.96/19.15 (define @t92 () (@var "X1" $$unsorted)) % 18.96/19.15 (define @t93 () (tptp.segmentP @t2 @t92)) % 18.96/19.15 (define @t94 () (tptp.segmentP @t1 @t92)) % 18.96/19.15 (define @t95 () (tptp.neq @t92 tptp.nil)) % 18.96/19.15 (define @t96 () (tptp.ssList @t92)) % 18.96/19.15 (define @t97 () (and @t96 @t95 @t94 @t93)) % 18.96/19.15 (define @t98 () (@list @t92)) % 18.96/19.15 (define @t99 () (exists @t98 @t97)) % 18.96/19.15 (define @t100 () (tptp.neq @t1 tptp.nil)) % 18.96/19.15 (define @t101 () (not @t100)) % 18.96/19.15 (define @t102 () (or @t101 @t99)) % 18.96/19.15 (define @t103 () (or @t86 @t48)) % 18.96/19.15 (define @t104 () (and @t103 @t102)) % 18.96/19.15 (define @t105 () (tptp.neq @t10 tptp.nil)) % 18.96/19.15 (define @t106 () (tptp.cons @t28 tptp.nil)) % 18.96/19.15 (define @t107 () (tptp.app @t27 @t106)) % 18.96/19.15 (define @t108 () (not (= @t107 @t10))) % 18.96/19.15 (define @t109 () (tptp.app @t106 @t27)) % 18.96/19.15 (define @t110 () (not (= @t109 @t12))) % 18.96/19.15 (define @t111 () (not @t30)) % 18.96/19.15 (define @t112 () (or @t111 @t110 @t108)) % 18.96/19.15 (define @t113 () (forall @t31 @t112)) % 18.96/19.15 (define @t114 () (tptp.ssItem @t28)) % 18.96/19.15 (define @t115 () (=> @t114 @t113)) % 18.96/19.15 (define @t116 () (forall @t33 @t115)) % 18.96/19.15 (define @t117 () (and @t116 @t105)) % 18.96/19.15 (define @t118 () (not (= tptp.nil @t12))) % 18.96/19.15 (define @t119 () (and @t118 (= tptp.nil @t10))) % 18.96/19.15 (define @t120 () (not (= @t2 @t12))) % 18.96/19.15 (define @t121 () (not (= @t1 @t10))) % 18.96/19.15 (define @t122 () (not @t13)) % 18.96/19.15 (define @t123 () (or @t122 @t121 @t120 @t119 @t117 @t104)) % 18.96/19.15 (define @t124 () (forall @t14 @t123)) % 18.96/19.15 (define @t125 () (=> @t15 @t124)) % 18.96/19.15 (define @t126 () (forall @t16 @t125)) % 18.96/19.15 (define @t127 () (=> @t21 @t126)) % 18.96/19.15 (define @t128 () (forall @t7 @t127)) % 18.96/19.15 (define @t129 () (=> @t17 @t128)) % 18.96/19.15 (define @t130 () (forall @t9 @t129)) % 18.96/19.15 (define @t131 () (not @t130)) % 18.96/19.15 (define @t132 () (@var "BOUND_VARIABLE_11148" $$unsorted)) % 18.96/19.15 (define @t133 () (tptp.neq @t132 tptp.nil)) % 18.96/19.15 (define @t134 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 18.96/19.15 (define @t135 () (tptp.cons @t134 tptp.nil)) % 18.96/19.15 (define @t136 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 18.96/19.15 (define @t137 () (and (or (not (tptp.ssItem @t134)) (not (tptp.ssList @t136)) (not (= @t2 (tptp.app @t135 @t136))) (not (= @t132 (tptp.app @t136 @t135)))) @t133)) % 18.96/19.15 (define @t138 () (= @t2 tptp.nil)) % 18.96/19.15 (define @t139 () (not @t138)) % 18.96/19.15 (define @t140 () (= @t132 tptp.nil)) % 18.96/19.15 (define @t141 () (and @t139 @t140)) % 18.96/19.15 (define @t142 () (not @t93)) % 18.96/19.15 (define @t143 () (not @t95)) % 18.96/19.15 (define @t144 () (not @t96)) % 18.96/19.15 (define @t145 () (or (not @t133) (not (forall @t98 (or @t144 @t143 (not (tptp.segmentP @t132 @t92)) @t142))))) % 18.96/19.16 (define @t146 () (not @t140)) % 18.96/19.16 (define @t147 () (or @t146 @t138)) % 18.96/19.16 (define @t148 () (and @t147 @t145)) % 18.96/19.16 (define @t149 () (not (tptp.ssList @t132))) % 18.96/19.16 (define @t150 () (not @t17)) % 18.96/19.16 (define @t151 () (or @t150 @t149 @t148 @t141 @t137)) % 18.96/19.16 (define @t152 () (or @t149 @t148 @t141 @t137)) % 18.96/19.16 (define @t153 () (or @t150 @t152)) % 18.96/19.16 (define @t154 () (@list @t2 @t132 @t134 @t136)) % 18.96/19.16 (define @t155 () (forall @t154 @t153)) % 18.96/19.16 (define @t156 () (@list @t132 @t134 @t136)) % 18.96/19.16 (define @t157 () (forall @t156 @t153)) % 18.96/19.16 (define @t158 () (forall @t156 @t152)) % 18.96/19.16 (define @t159 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 18.96/19.16 (define @t160 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 18.96/19.16 (define @t161 () (or @t150 @t158)) % 18.96/19.16 (define @t162 () (tptp.cons @t160 tptp.nil)) % 18.96/19.16 (define @t163 () (or (not (tptp.ssItem @t160)) (not (tptp.ssList @t159)) (not (= @t2 (tptp.app @t162 @t159))) (not (= @t1 (tptp.app @t159 @t162))))) % 18.96/19.16 (define @t164 () (and @t163 @t100)) % 18.96/19.16 (define @t165 () (= @t1 tptp.nil)) % 18.96/19.16 (define @t166 () (and @t139 @t165)) % 18.96/19.16 (define @t167 () (not @t94)) % 18.96/19.16 (define @t168 () (or @t144 @t143 @t167 @t142)) % 18.96/19.16 (define @t169 () (and (or (not @t165) @t138) (or @t101 (not (forall @t98 @t168))))) % 18.96/19.16 (define @t170 () (not @t21)) % 18.96/19.16 (define @t171 () (or @t170 @t169 @t166 @t164)) % 18.96/19.16 (define @t172 () (forall (@list @t1 @t160 @t159) @t171)) % 18.96/19.16 (define @t173 () (or @t150 @t172)) % 18.96/19.16 (define @t174 () (@list @t160 @t159)) % 18.96/19.16 (define @t175 () (forall @t174 @t171)) % 18.96/19.16 (define @t176 () (forall @t174 @t100)) % 18.96/19.16 (define @t177 () (forall @t174 @t163)) % 18.96/19.16 (define @t178 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 18.96/19.16 (define @t179 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 18.96/19.16 (define @t180 () (@list @t179 @t178)) % 18.96/19.16 (define @t181 () (and @t177 @t176)) % 18.96/19.16 (define @t182 () (forall @t174 @t164)) % 18.96/19.16 (define @t183 () (or @t170 @t169 @t166 @t182)) % 18.96/19.16 (define @t184 () (tptp.cons @t179 tptp.nil)) % 18.96/19.16 (define @t185 () (and (forall (@list @t179 @t178) (or (not (tptp.ssItem @t179)) (not (tptp.ssList @t178)) (not (= @t2 (tptp.app @t184 @t178))) (not (= @t1 (tptp.app @t178 @t184))))) @t100)) % 18.96/19.16 (define @t186 () (or @t170 @t169 @t166 @t185)) % 18.96/19.16 (define @t187 () (forall @t7 @t186)) % 18.96/19.16 (define @t188 () (or @t150 @t187)) % 18.96/19.16 (define @t189 () (or @t150 @t186)) % 18.96/19.16 (define @t190 () (or @t170 @t169 @t150 @t166 @t185)) % 18.96/19.16 (define @t191 () (or @t169 @t170 @t150 @t166 @t185)) % 18.96/19.16 (define @t192 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 18.96/19.16 (define @t193 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 18.96/19.16 (define @t194 () (@list @t193 @t192)) % 18.96/19.16 (define @t195 () (forall @t194 @t100)) % 18.96/19.16 (define @t196 () (tptp.cons @t193 tptp.nil)) % 18.96/19.16 (define @t197 () (not (= @t1 (tptp.app @t192 @t196)))) % 18.96/19.16 (define @t198 () (tptp.app @t196 @t192)) % 18.96/19.16 (define @t199 () (not (tptp.ssList @t192))) % 18.96/19.16 (define @t200 () (not (tptp.ssItem @t193))) % 18.96/19.16 (define @t201 () (or @t200 @t199 (not (= @t2 @t198)) @t197)) % 18.96/19.16 (define @t202 () (forall @t194 @t201)) % 18.96/19.16 (define @t203 () (@list @t193 @t192)) % 18.96/19.16 (define @t204 () (and @t202 @t195)) % 18.96/19.16 (define @t205 () (and @t201 @t100)) % 18.96/19.16 (define @t206 () (forall @t194 @t205)) % 18.96/19.16 (define @t207 () (or @t150 @t166 @t206)) % 18.96/19.16 (define @t208 () (or @t150 @t166 @t205)) % 18.96/19.16 (define @t209 () (not (= @t2 @t2))) % 18.96/19.16 (define @t210 () (or @t150 @t209 @t166 @t205)) % 18.96/19.16 (define @t211 () (or @t200 @t199 (not (= @t12 @t198)) @t197)) % 18.96/19.16 (define @t212 () (and @t211 @t100)) % 18.96/19.16 (define @t213 () (not (= @t12 tptp.nil))) % 18.96/19.16 (define @t214 () (and @t213 @t165)) % 18.96/19.16 (define @t215 () (not @t15)) % 18.96/19.16 (define @t216 () (or @t120 @t215 @t120 @t214 @t212)) % 18.96/19.16 (define @t217 () (or @t215 @t120 @t214 @t212)) % 18.96/19.16 (define @t218 () (forall @t16 @t217)) % 18.96/19.16 (define @t219 () (forall @t194 @t218)) % 18.96/19.16 (define @t220 () (forall (@list @t193 @t192 @t12) @t217)) % 18.96/19.16 (define @t221 () (forall (@list @t12 @t193 @t192) @t217)) % 18.96/19.16 (define @t222 () (forall @t194 @t217)) % 18.96/19.16 (define @t223 () (forall @t194 @t211)) % 18.96/19.16 (define @t224 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 18.96/19.16 (define @t225 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 18.96/19.16 (define @t226 () (@list @t225 @t224)) % 18.96/19.16 (define @t227 () (and @t223 @t195)) % 18.96/19.16 (define @t228 () (forall @t194 @t212)) % 18.96/19.16 (define @t229 () (or @t215 @t120 @t214 @t228)) % 18.96/19.16 (define @t230 () (tptp.cons @t225 tptp.nil)) % 18.96/19.16 (define @t231 () (and (forall (@list @t225 @t224) (or (not (tptp.ssItem @t225)) (not (tptp.ssList @t224)) (not (= @t12 (tptp.app @t230 @t224))) (not (= @t1 (tptp.app @t224 @t230))))) @t100)) % 18.96/19.16 (define @t232 () (or @t215 @t120 @t214 @t231)) % 18.96/19.16 (define @t233 () (forall @t16 @t232)) % 18.96/19.16 (define @t234 () (or @t169 @t170 @t233)) % 18.96/19.16 (define @t235 () (or @t169 @t170 @t232)) % 18.96/19.16 (define @t236 () (or @t215 @t120 @t169 @t170 @t214 @t231)) % 18.96/19.16 (define @t237 () (or @t120 @t169 @t170 @t214 @t231)) % 18.96/19.16 (define @t238 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 18.96/19.16 (define @t239 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 18.96/19.16 (define @t240 () (@list @t239 @t238)) % 18.96/19.16 (define @t241 () (forall @t240 @t100)) % 18.96/19.16 (define @t242 () (tptp.cons @t239 tptp.nil)) % 18.96/19.16 (define @t243 () (tptp.app @t238 @t242)) % 18.96/19.16 (define @t244 () (not (= @t12 (tptp.app @t242 @t238)))) % 18.96/19.16 (define @t245 () (not (tptp.ssList @t238))) % 18.96/19.16 (define @t246 () (not (tptp.ssItem @t239))) % 18.96/19.16 (define @t247 () (or @t246 @t245 @t244 (not (= @t1 @t243)))) % 18.96/19.16 (define @t248 () (forall @t240 @t247)) % 18.96/19.16 (define @t249 () (@list @t239 @t238)) % 18.96/19.16 (define @t250 () (and @t248 @t241)) % 18.96/19.16 (define @t251 () (and @t247 @t100)) % 18.96/19.16 (define @t252 () (forall @t240 @t251)) % 18.96/19.16 (define @t253 () (or @t170 @t214 @t252)) % 18.96/19.16 (define @t254 () (or @t170 @t214 @t251)) % 18.96/19.16 (define @t255 () (not (= @t1 @t1))) % 18.96/19.16 (define @t256 () (or @t170 @t255 @t214 @t251)) % 18.96/19.16 (define @t257 () (or @t246 @t245 @t244 (not (= @t10 @t243)))) % 18.96/19.16 (define @t258 () (and @t257 @t105)) % 18.96/19.16 (define @t259 () (and @t213 (= @t10 tptp.nil))) % 18.96/19.16 (define @t260 () (or @t121 @t122 @t121 @t259 @t258)) % 18.96/19.16 (define @t261 () (or @t122 @t121 @t259 @t258)) % 18.96/19.16 (define @t262 () (forall @t14 @t261)) % 18.96/19.16 (define @t263 () (forall @t240 @t262)) % 18.96/19.16 (define @t264 () (forall (@list @t239 @t238 @t10) @t261)) % 18.96/19.16 (define @t265 () (forall (@list @t10 @t239 @t238) @t261)) % 18.96/19.16 (define @t266 () (forall @t240 @t261)) % 18.96/19.16 (define @t267 () (forall @t240 @t105)) % 18.96/19.16 (define @t268 () (forall @t240 @t257)) % 18.96/19.16 (define @t269 () (@var "BOUND_VARIABLE_10955" $$unsorted)) % 18.96/19.16 (define @t270 () (and @t268 @t267)) % 18.96/19.16 (define @t271 () (forall @t240 @t258)) % 18.96/19.16 (define @t272 () (or @t122 @t121 @t259 @t271)) % 18.96/19.16 (define @t273 () (not (= @t10 (tptp.app @t269 @t106)))) % 18.96/19.16 (define @t274 () (not (= @t12 (tptp.app @t106 @t269)))) % 18.96/19.16 (define @t275 () (not (tptp.ssList @t269))) % 18.96/19.16 (define @t276 () (not @t114)) % 18.96/19.16 (define @t277 () (or @t276 @t275 @t274 @t273)) % 18.96/19.16 (define @t278 () (@list @t28 @t269)) % 18.96/19.16 (define @t279 () (and (forall @t278 @t277) @t105)) % 18.96/19.16 (define @t280 () (or @t122 @t121 @t259 @t279)) % 18.96/19.16 (define @t281 () (forall @t14 @t280)) % 18.96/19.16 (define @t282 () (or @t120 @t169 @t281)) % 18.96/19.16 (define @t283 () (or @t120 @t169 @t280)) % 18.96/19.16 (define @t284 () (or @t122 @t121 @t120 @t259 @t279 @t169)) % 18.96/19.16 (define @t285 () (forall @t98 (not @t97))) % 18.96/19.16 (define @t286 () (not @t285)) % 18.96/19.16 (define @t287 () (or @t275 @t274 @t273)) % 18.96/19.16 (define @t288 () (or @t276 @t287)) % 18.96/19.16 (define @t289 () (forall @t278 @t288)) % 18.96/19.16 (define @t290 () (@list @t269)) % 18.96/19.16 (define @t291 () (forall @t290 @t288)) % 18.96/19.16 (define @t292 () (forall @t290 @t287)) % 18.96/19.16 (define @t293 () (or @t276 @t292)) % 18.96/19.16 (define @t294 () (forall @t31 (or @t111 (not (= @t12 @t109)) (not (= @t10 @t107))))) % 18.96/19.16 (define @t295 () (= tptp.nil @t132)) % 18.96/19.16 (define @t296 () (forall @t154 (or @t150 @t149 (and (or (not @t295) @t138) @t145) (and @t139 @t295) @t137))) % 18.96/19.16 (define @t297 () (@quantifiers_skolemize @t296 1)) % 18.96/19.16 (define @t298 () (tptp.neq @t297 tptp.nil)) % 18.96/19.16 (define @t299 () (@quantifiers_skolemize @t296 2)) % 18.96/19.16 (define @t300 () (tptp.cons @t299 tptp.nil)) % 18.96/19.16 (define @t301 () (@quantifiers_skolemize @t296 3)) % 18.96/19.16 (define @t302 () (tptp.app @t301 @t300)) % 18.96/19.16 (define @t303 () (= @t297 @t302)) % 18.96/19.16 (define @t304 () (not @t303)) % 18.96/19.16 (define @t305 () (tptp.app @t300 @t301)) % 18.96/19.16 (define @t306 () (@quantifiers_skolemize @t296 0)) % 18.96/19.16 (define @t307 () (= @t306 @t305)) % 18.96/19.16 (define @t308 () (not @t307)) % 18.96/19.16 (define @t309 () (tptp.ssList @t301)) % 18.96/19.16 (define @t310 () (not @t309)) % 18.96/19.16 (define @t311 () (tptp.ssItem @t299)) % 18.96/19.16 (define @t312 () (not @t311)) % 18.96/19.16 (define @t313 () (or @t312 @t310 @t308 @t304)) % 18.96/19.16 (define @t314 () (and @t313 @t298)) % 18.96/19.16 (define @t315 () (= tptp.nil @t297)) % 18.96/19.16 (define @t316 () (= tptp.nil @t306)) % 18.96/19.16 (define @t317 () (not @t316)) % 18.96/19.16 (define @t318 () (and @t317 @t315)) % 18.96/19.16 (define @t319 () (forall @t98 (or @t144 @t143 (not (tptp.segmentP @t297 @t92)) (not (tptp.segmentP @t306 @t92))))) % 18.96/19.16 (define @t320 () (not @t319)) % 18.96/19.16 (define @t321 () (not @t298)) % 18.96/19.16 (define @t322 () (or @t321 @t320)) % 18.96/19.16 (define @t323 () (not @t315)) % 18.96/19.16 (define @t324 () (or @t323 @t316)) % 18.96/19.16 (define @t325 () (and @t324 @t322)) % 18.96/19.16 (define @t326 () (tptp.ssList @t297)) % 18.96/19.16 (define @t327 () (not @t326)) % 18.96/19.16 (define @t328 () (tptp.ssList @t306)) % 18.96/19.16 (define @t329 () (not @t328)) % 18.96/19.16 (define @t330 () (or @t329 @t327 @t325 @t318 @t314)) % 18.96/19.16 (define @t331 () (not @t330)) % 18.96/19.16 (define @t332 () (not @t296)) % 18.96/19.16 (define @t333 () (= @t306 tptp.nil)) % 18.96/19.16 (define @t334 () (not @t333)) % 18.96/19.16 (define @t335 () (and @t334 @t315)) % 18.96/19.16 (define @t336 () (or @t323 @t333)) % 18.96/19.16 (define @t337 () (and @t336 @t322)) % 18.96/19.16 (define @t338 () (or @t329 @t327 @t337 @t335 @t314)) % 18.96/19.16 (define @t339 () (not @t338)) % 18.96/19.16 (define @t340 () (@list true)) % 18.96/19.16 (define @t341 () (@list @t330)) % 18.96/19.16 (define @t342 () (@var "BOUND_VARIABLE_9117" $$unsorted)) % 18.96/19.16 (define @t343 () (= (tptp.neq @t2 @t342) (not (= @t2 @t342)))) % 18.96/19.16 (define @t344 () (not (tptp.ssList @t342))) % 18.96/19.16 (define @t345 () (or @t150 @t344 @t343)) % 18.96/19.16 (define @t346 () (or @t344 @t343)) % 18.96/19.16 (define @t347 () (or @t150 @t346)) % 18.96/19.16 (define @t348 () (@list @t2 @t342)) % 18.96/19.16 (define @t349 () (forall @t348 @t347)) % 18.96/19.16 (define @t350 () (@list @t342)) % 18.96/19.16 (define @t351 () (forall @t350 @t347)) % 18.96/19.16 (define @t352 () (forall @t350 @t346)) % 18.96/19.16 (define @t353 () (@list @t1)) % 18.96/19.16 (define @t354 () (or @t150 @t352)) % 18.96/19.16 (define @t355 () (forall @t7 (or @t170 @t5))) % 18.96/19.16 (define @t356 () (tptp.neq tptp.nil tptp.nil)) % 18.96/19.16 (define @t357 () (not (= tptp.nil tptp.nil))) % 18.96/19.16 (define @t358 () (= @t356 @t357)) % 18.96/19.16 (define @t359 () (not @t45)) % 18.96/19.16 (define @t360 () (or @t359 @t359 @t358)) % 18.96/19.16 (define @t361 () (forall @t348 @t345)) % 18.96/19.16 (define @t362 () (not @t356)) % 18.96/19.16 (define @t363 () (or @t359 @t359 @t362)) % 18.96/19.16 (define @t364 () (@list false)) % 18.96/19.16 (define @t365 () (@list @t361)) % 18.96/19.16 (define @t366 () (@list false false)) % 18.96/19.16 (define @t367 () (and @t315 @t362)) % 18.96/19.16 (define @t368 () (@list true false)) % 18.96/19.16 (define @t369 () (@list @t322)) % 18.96/19.16 (define @t370 () (not @t313)) % 18.96/19.16 (define @t371 () (@list @t313)) % 18.96/19.16 (define @t372 () (= @t2 @t60)) % 18.96/19.16 (define @t373 () (tptp.app tptp.nil tptp.nil)) % 18.96/19.16 (define @t374 () (= tptp.nil @t373)) % 18.96/19.16 (define @t375 () (or @t359 @t374)) % 18.96/19.16 (define @t376 () (@list @t306)) % 18.96/19.16 (define @t377 () (tptp.segmentP @t306 @t306)) % 18.96/19.16 (define @t378 () (or @t329 @t377)) % 18.96/19.16 (define @t379 () (@list @t297)) % 18.96/19.16 (define @t380 () (tptp.segmentP @t306 @t297)) % 18.96/19.16 (define @t381 () (not @t380)) % 18.96/19.16 (define @t382 () (tptp.segmentP @t297 @t297)) % 18.96/19.16 (define @t383 () (not @t382)) % 18.96/19.16 (define @t384 () (or @t327 @t321 @t383 @t381)) % 18.96/19.16 (define @t385 () (@list @t319)) % 18.96/19.16 (define @t386 () (or @t327 @t382)) % 18.96/19.16 (define @t387 () (@list false false false false)) % 18.96/19.16 (define @t388 () (@list @t301)) % 18.96/19.16 (define @t389 () (tptp.app tptp.nil @t301)) % 18.96/19.16 (define @t390 () (= @t301 @t389)) % 18.96/19.16 (define @t391 () (or @t310 @t390)) % 18.96/19.16 (define @t392 () (@var "BOUND_VARIABLE_9419" $$unsorted)) % 18.96/19.16 (define @t393 () (@var "BOUND_VARIABLE_9421" $$unsorted)) % 18.96/19.16 (define @t394 () (= (tptp.cons @t393 (tptp.app @t392 @t2)) (tptp.app (tptp.cons @t393 @t392) @t2))) % 18.96/19.16 (define @t395 () (not (tptp.ssItem @t393))) % 18.96/19.16 (define @t396 () (not (tptp.ssList @t392))) % 18.96/19.16 (define @t397 () (or @t396 @t395 @t394)) % 18.96/19.16 (define @t398 () (or @t150 @t397)) % 18.96/19.16 (define @t399 () (forall (@list @t2 @t392 @t393) @t398)) % 18.96/19.16 (define @t400 () (@list @t392 @t393)) % 18.96/19.16 (define @t401 () (forall @t400 @t398)) % 18.96/19.16 (define @t402 () (forall @t400 @t397)) % 18.96/19.16 (define @t403 () (@var "BOUND_VARIABLE_9401" $$unsorted)) % 18.96/19.16 (define @t404 () (or @t150 @t402)) % 18.96/19.16 (define @t405 () (= (tptp.cons @t403 @t53) (tptp.app (tptp.cons @t403 @t1) @t2))) % 18.96/19.16 (define @t406 () (not (tptp.ssItem @t403))) % 18.96/19.16 (define @t407 () (or @t170 @t406 @t405)) % 18.96/19.16 (define @t408 () (@list @t1 @t403)) % 18.96/19.16 (define @t409 () (forall @t408 @t407)) % 18.96/19.16 (define @t410 () (or @t406 @t405)) % 18.96/19.16 (define @t411 () (or @t170 @t410)) % 18.96/19.16 (define @t412 () (forall @t408 @t411)) % 18.96/19.16 (define @t413 () (@list @t403)) % 18.96/19.16 (define @t414 () (forall @t413 @t411)) % 18.96/19.16 (define @t415 () (forall @t413 @t410)) % 18.96/19.16 (define @t416 () (or @t170 @t415)) % 18.96/19.16 (define @t417 () (forall @t16 (or (not @t34) @t54))) % 18.96/19.16 (define @t418 () (tptp.app @t300 tptp.nil)) % 18.96/19.16 (define @t419 () (= (tptp.cons @t299 @t373) @t418)) % 18.96/19.16 (define @t420 () (or @t359 @t359 @t312 @t419)) % 18.96/19.16 (define @t421 () (@list false false false)) % 18.96/19.16 (define @t422 () (@var "BOUND_VARIABLE_9138" $$unsorted)) % 18.96/19.16 (define @t423 () (tptp.ssList (tptp.cons @t422 @t2))) % 18.96/19.16 (define @t424 () (not (tptp.ssItem @t422))) % 18.96/19.16 (define @t425 () (or @t424 @t423)) % 18.96/19.16 (define @t426 () (or @t150 @t425)) % 18.96/19.16 (define @t427 () (forall (@list @t2 @t422) @t426)) % 18.96/19.16 (define @t428 () (@list @t422)) % 18.96/19.16 (define @t429 () (forall @t428 @t426)) % 18.96/19.16 (define @t430 () (forall @t428 @t425)) % 18.96/19.16 (define @t431 () (or @t150 @t430)) % 18.96/19.16 (define @t432 () (forall @t7 (or (not @t6) @t41))) % 18.96/19.16 (define @t433 () (tptp.ssList @t300)) % 18.96/19.16 (define @t434 () (or @t359 @t312 @t433)) % 18.96/19.16 (define @t435 () (= @t300 (tptp.app tptp.nil @t300))) % 18.96/19.16 (define @t436 () (not @t433)) % 18.96/19.16 (define @t437 () (or @t436 @t435)) % 18.96/19.16 (define @t438 () (not (= @t301 tptp.nil))) % 18.96/19.16 (define @t439 () (tptp.neq @t301 tptp.nil)) % 18.96/19.16 (define @t440 () (= @t439 @t438)) % 18.96/19.16 (define @t441 () (or @t310 @t359 @t440)) % 18.96/19.16 (define @t442 () (= tptp.nil @t301)) % 18.96/19.16 (define @t443 () (not @t442)) % 18.96/19.16 (define @t444 () (= @t439 @t443)) % 18.96/19.16 (define @t445 () (or @t310 @t359 @t444)) % 18.96/19.16 (define @t446 () (tptp.segmentP @t306 @t301)) % 18.96/19.16 (define @t447 () (not @t446)) % 18.96/19.16 (define @t448 () (tptp.segmentP @t297 @t301)) % 18.96/19.16 (define @t449 () (not @t448)) % 18.96/19.16 (define @t450 () (not @t439)) % 18.96/19.16 (define @t451 () (or @t310 @t450 @t449 @t447)) % 18.96/19.16 (define @t452 () (@var "BOUND_VARIABLE_10216" $$unsorted)) % 18.96/19.16 (define @t453 () (@var "BOUND_VARIABLE_10220" $$unsorted)) % 18.96/19.16 (define @t454 () (@var "BOUND_VARIABLE_10218" $$unsorted)) % 18.96/19.16 (define @t455 () (tptp.segmentP (tptp.app (tptp.app @t454 @t2) @t453) @t452)) % 18.96/19.16 (define @t456 () (not (tptp.ssList @t453))) % 18.96/19.16 (define @t457 () (not (tptp.ssList @t454))) % 18.96/19.16 (define @t458 () (not (tptp.segmentP @t2 @t452))) % 18.96/19.16 (define @t459 () (not (tptp.ssList @t452))) % 18.96/19.16 (define @t460 () (or @t459 @t458 @t457 @t456 @t455)) % 18.96/19.16 (define @t461 () (or @t150 @t460)) % 18.96/19.16 (define @t462 () (forall (@list @t2 @t452 @t454 @t453) @t461)) % 18.96/19.16 (define @t463 () (@list @t452 @t454 @t453)) % 18.96/19.16 (define @t464 () (forall @t463 @t461)) % 18.96/19.16 (define @t465 () (forall @t463 @t460)) % 18.96/19.16 (define @t466 () (@var "BOUND_VARIABLE_10197" $$unsorted)) % 18.96/19.16 (define @t467 () (@var "BOUND_VARIABLE_10195" $$unsorted)) % 18.96/19.16 (define @t468 () (or @t150 @t465)) % 18.96/19.16 (define @t469 () (tptp.segmentP (tptp.app (tptp.app @t467 @t2) @t466) @t1)) % 18.96/19.16 (define @t470 () (not (tptp.ssList @t466))) % 18.96/19.16 (define @t471 () (not (tptp.ssList @t467))) % 18.96/19.16 (define @t472 () (not @t24)) % 18.96/19.16 (define @t473 () (or @t170 @t472 @t471 @t470 @t469)) % 18.96/19.16 (define @t474 () (@list @t1 @t467 @t466)) % 18.96/19.16 (define @t475 () (forall @t474 @t473)) % 18.96/19.16 (define @t476 () (or @t471 @t470 @t469)) % 18.96/19.16 (define @t477 () (or @t170 @t472 @t476)) % 18.96/19.16 (define @t478 () (forall @t474 @t477)) % 18.96/19.16 (define @t479 () (@list @t467 @t466)) % 18.96/19.16 (define @t480 () (forall @t479 @t477)) % 18.96/19.16 (define @t481 () (forall @t479 @t476)) % 18.96/19.16 (define @t482 () (@var "BOUND_VARIABLE_10178" $$unsorted)) % 18.96/19.16 (define @t483 () (or @t170 @t472 @t481)) % 18.96/19.16 (define @t484 () (tptp.segmentP (tptp.app @t71 @t482) @t1)) % 18.96/19.16 (define @t485 () (not (tptp.ssList @t482))) % 18.96/19.16 (define @t486 () (or @t215 @t485 @t484)) % 18.96/19.16 (define @t487 () (@list @t12 @t482)) % 18.96/19.16 (define @t488 () (forall @t487 @t486)) % 18.96/19.16 (define @t489 () (or @t170 @t472 @t488)) % 18.96/19.16 (define @t490 () (or @t472 @t488)) % 18.96/19.16 (define @t491 () (or @t485 @t484)) % 18.96/19.16 (define @t492 () (or @t215 @t491)) % 18.96/19.16 (define @t493 () (forall @t487 @t492)) % 18.96/19.16 (define @t494 () (@list @t482)) % 18.96/19.16 (define @t495 () (forall @t494 @t492)) % 18.96/19.16 (define @t496 () (forall @t494 @t491)) % 18.96/19.16 (define @t497 () (or @t215 @t496)) % 18.96/19.16 (define @t498 () (or @t122 @t74)) % 18.96/19.16 (define @t499 () (forall @t14 @t498)) % 18.96/19.16 (define @t500 () (or @t215 @t499)) % 18.96/19.16 (define @t501 () (forall @t16 @t500)) % 18.96/19.16 (define @t502 () (or @t472 @t501)) % 18.96/19.16 (define @t503 () (or @t472 @t500)) % 18.96/19.16 (define @t504 () (or @t215 @t472 @t499)) % 18.96/19.16 (define @t505 () (or @t472 @t499)) % 18.96/19.16 (define @t506 () (or @t472 @t498)) % 18.96/19.16 (define @t507 () (or @t122 @t472 @t74)) % 18.96/19.16 (define @t508 () (tptp.segmentP @t301 @t301)) % 18.96/19.16 (define @t509 () (or @t310 @t508)) % 18.96/19.16 (define @t510 () (tptp.segmentP (tptp.app @t305 tptp.nil) @t301)) % 18.96/19.16 (define @t511 () (not @t508)) % 18.96/19.16 (define @t512 () (or @t310 @t310 @t511 @t436 @t359 @t510)) % 18.96/19.16 (define @t513 () (@list false false false false false)) % 18.96/19.16 (define @t514 () (= @t2 @t89)) % 18.96/19.16 (define @t515 () (tptp.app @t306 tptp.nil)) % 18.96/19.16 (define @t516 () (= @t306 @t515)) % 18.96/19.16 (define @t517 () (or @t329 @t516)) % 18.96/19.16 (define @t518 () (and @t307 @t516 @t510)) % 18.96/19.16 (define @t519 () (tptp.app @t389 @t300)) % 18.96/19.16 (define @t520 () (tptp.segmentP @t519 @t301)) % 18.96/19.16 (define @t521 () (or @t310 @t310 @t511 @t359 @t436 @t520)) % 18.96/19.16 (define @t522 () (and @t303 @t390 @t520)) % 18.96/19.16 (define @t523 () (not @t390)) % 18.96/19.16 (define @t524 () (not @t444)) % 18.96/19.16 (define @t525 () (not @t435)) % 18.96/19.16 (define @t526 () (not @t419)) % 18.96/19.16 (define @t527 () (not @t377)) % 18.96/19.16 (define @t528 () (not @t374)) % 18.96/19.16 (define @t529 () (and @t377 @t307 @t442 @t419 @t374 @t435 @t390 @t303 @t381)) % 18.96/19.16 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 18.96/19.16 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 18.96/19.16 (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))))))))))) % 18.96/19.16 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 18.96/19.16 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 18.96/19.16 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 18.96/19.16 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 18.96/19.16 (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))))))))))))))))) % 18.96/19.16 (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)))))))))))))))) % 18.96/19.16 (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))))))))))))))))) % 18.96/19.16 (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))))))))))))))) % 18.96/19.16 (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))))))))))))))) % 18.96/19.16 (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)))))))))))))))) % 18.96/19.16 (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))))))))))))) % 18.96/19.16 (assume @p15 @t39) % 18.96/19.16 (assume @p16 @t44) % 18.96/19.16 (assume @p17 @t45) % 18.96/19.16 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 18.96/19.16 (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) @t46))))))))))) % 18.96/19.16 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 18.96/19.16 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 18.96/19.16 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 18.96/19.16 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 18.96/19.16 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 18.96/19.16 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 18.96/19.16 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t52)))))) % 18.96/19.16 (assume @p27 @t59) % 18.96/19.16 (assume @p28 @t62) % 18.96/19.16 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t64 @t63) @t3)))))) % 18.96/19.16 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t26) (tptp.leq @t2 @t12))))))))) % 18.96/19.16 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 18.96/19.16 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t63)))))) % 18.96/19.16 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not @t66))))))) % 18.96/19.16 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t68)))))))) % 18.96/19.16 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 @t66)))))) % 18.96/19.16 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t70))))))))) % 18.96/19.16 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t70))))))))) % 18.96/19.16 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 18.96/19.16 (assume @p39 (not (tptp.singletonP tptp.nil))) % 18.96/19.16 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 18.96/19.16 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 18.96/19.16 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 18.96/19.16 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 18.96/19.16 (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)))))))))))) % 18.96/19.16 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 18.96/19.16 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 18.96/19.16 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 18.96/19.16 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 18.96/19.16 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 18.96/19.16 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t71 @t1))))))))) % 18.96/19.16 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 18.96/19.16 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 18.96/19.16 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 18.96/19.16 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 18.96/19.16 (assume @p55 @t73) % 18.96/19.16 (assume @p56 @t82) % 18.96/19.16 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 18.96/19.16 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 18.96/19.16 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t83)))) % 18.96/19.16 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 18.96/19.16 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t83)))) % 18.96/19.16 (assume @p62 (tptp.totalorderP tptp.nil)) % 18.96/19.16 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t83)))) % 18.96/19.16 (assume @p64 (tptp.strictorderP tptp.nil)) % 18.96/19.16 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t83)))) % 18.96/19.16 (assume @p66 (tptp.totalorderedP tptp.nil)) % 18.96/19.16 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t87) (or @t85 (and @t86 (tptp.totalorderedP @t1) (tptp.leq @t2 @t84))))))))) % 18.96/19.16 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t83)))) % 18.96/19.16 (assume @p69 (tptp.strictorderedP tptp.nil)) % 18.96/19.16 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t87) (or @t85 (and @t86 (tptp.strictorderedP @t1) (tptp.lt @t2 @t84))))))))) % 18.96/19.16 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t83)))) % 18.96/19.16 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 18.96/19.16 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t83)))) % 18.96/19.16 (assume @p74 (tptp.equalelemsP tptp.nil)) % 18.96/19.16 (assume @p75 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t6 (= @t49 @t1))))))) % 18.96/19.16 (assume @p76 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t21 (= @t51 @t1))))))) % 18.96/19.16 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t86 @t50 (= @t84 @t49) (= (tptp.tl @t1) @t51)) @t46)))))) % 18.96/19.16 (assume @p78 (forall @t9 (=> @t17 (=> @t50 (= (tptp.cons @t49 @t51) @t2))))) % 18.96/19.16 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t52) @t88)))))))) % 18.96/19.16 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t88)))))))) % 18.96/19.16 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 18.96/19.16 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 18.96/19.16 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t52) (and @t85 @t48))))))) % 18.96/19.16 (assume @p84 @t91) % 18.96/19.16 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.hd @t52) @t49))))))) % 18.96/19.16 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.tl @t52) (tptp.app @t51 @t1)))))))) % 18.96/19.16 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 (tptp.geq @t1 @t2)) @t3)))))) % 18.96/19.16 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 18.96/19.16 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 18.96/19.16 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 18.96/19.16 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t35) @t68)))))))) % 18.96/19.16 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (or @t3 @t67))))))) % 18.96/19.16 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 (and @t4 @t64))))))) % 18.96/19.16 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not (tptp.gt @t1 @t2)))))))) % 18.96/19.16 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 18.96/19.16 (assume @p96 @t131) % 18.96/19.16 (assume @p97 true) % 18.96/19.16 (step @p98 :rule refl :args (@t137)) % 18.96/19.16 (step @p99 :rule eq-symm :args (@t132 tptp.nil)) % 18.96/19.16 (step @p100 :rule refl :args (@t139)) % 18.96/19.16 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t141)) % 18.96/19.16 (step @p102 :rule refl :args (@t145)) % 18.96/19.16 (step @p103 :rule refl :args (@t138)) % 18.96/19.16 (step @p104 :rule cong :premises (@p99) :args (@t146)) % 18.96/19.16 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t147)) % 18.96/19.16 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t148)) % 18.96/19.16 (step @p107 :rule refl :args (@t149)) % 18.96/19.16 (step @p108 :rule refl :args (@t150)) % 18.96/19.16 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p101 @p98) :args (@t151)) % 18.96/19.16 (step @p110 :rule aci_norm :args ((= @t153 @t151))) % 18.96/19.16 (step @p111 :rule trans :premises (@p110 @p109)) % 18.96/19.16 (step @p112 :rule cong :premises (@p111) :args (@t155)) % 18.96/19.16 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t155))) % 18.96/19.16 (step @p114 :rule alpha_equiv :args (@t158 (@list @t132 @t134 @t136) (@list @t1 @t160 @t159))) % 18.96/19.16 (step @p115 :rule refl :args (@t150)) % 18.96/19.16 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t161)) % 18.96/19.16 (step @p117 :rule quant-miniscope-or :args ((= @t157 @t161))) % 18.96/19.16 (step @p118 :rule trans :premises (@p117 @p116)) % 18.96/19.16 (step @p119 :rule symm :premises (@p118)) % 18.96/19.16 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t173))) % 18.96/19.16 (step @p121 :rule trans :premises (@p120 @p113)) % 18.96/19.16 (step @p122 :rule trans :premises (@p121 @p112)) % 18.96/19.16 (step @p123 :rule aci_norm :args ((= (or @t150 @t173) @t173))) % 18.96/19.16 (step @p124 :rule bool-impl-elim :args (@t17 @t173)) % 18.96/19.16 (step @p125 :rule trans :premises (@p124 @p123)) % 18.96/19.16 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t173)))) % 18.96/19.16 (step @p127 :rule trans :premises (@p126 @p122)) % 18.96/19.16 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t175) @t172))) % 18.96/19.16 (step @p129 :rule quant-unused-vars :args ((= @t176 @t100))) % 18.96/19.16 (step @p130 :rule alpha_equiv :args (@t177 (@list @t160 @t159) @t180)) % 18.96/19.16 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t181)) % 18.96/19.16 (step @p132 :rule quant-miniscope-and :args ((= @t182 @t181))) % 18.96/19.16 (step @p133 :rule trans :premises (@p132 @p131)) % 18.96/19.16 (step @p134 :rule refl :args (@t166)) % 18.96/19.16 (step @p135 :rule refl :args (@t169)) % 18.96/19.16 (step @p136 :rule refl :args (@t170)) % 18.96/19.16 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t183)) % 18.96/19.16 (step @p138 :rule quant-miniscope-or :args ((= @t175 @t183))) % 18.96/19.16 (step @p139 :rule trans :premises (@p138 @p137)) % 18.96/19.16 (step @p140 :rule symm :premises (@p139)) % 18.96/19.16 (step @p141 :rule cong :premises (@p140) :args (@t187)) % 18.96/19.16 (step @p142 :rule trans :premises (@p141 @p128)) % 18.96/19.16 (step @p143 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:rule nary_cong :premises (@p324 @p298) :args (@t117)) % 18.96/19.16 (step @p326 :rule eq-symm :args (tptp.nil @t10)) % 18.96/19.16 (step @p327 :rule eq-symm :args (tptp.nil @t12)) % 18.96/19.16 (step @p328 :rule cong :premises (@p327) :args (@t118)) % 18.96/19.16 (step @p329 :rule nary_cong :premises (@p328 @p326) :args (@t119)) % 18.96/19.16 (step @p330 :rule refl :args (@t121)) % 18.96/19.16 (step @p331 :rule refl :args (@t122)) % 18.96/19.16 (step @p332 :rule nary_cong :premises (@p331 @p330 @p268 @p329 @p325 @p297) :args (@t123)) % 18.96/19.16 (step @p333 :rule cong :premises (@p332) :args (@t124)) % 18.96/19.16 (step @p334 :rule trans :premises (@p333 @p275)) % 18.96/19.16 (step @p335 :rule refl :args (@t15)) % 18.96/19.16 (step @p336 :rule cong :premises (@p335 @p334) :args (@t125)) % 18.96/19.16 (step @p337 :rule cong :premises (@p336) :args (@t126)) % 18.96/19.16 (step @p338 :rule trans :premises (@p337 @p217)) % 18.96/19.16 (step @p339 :rule refl :args (@t21)) % 18.96/19.16 (step @p340 :rule cong :premises (@p339 @p338) :args (@t127)) % 18.96/19.16 (step @p341 :rule cong :premises (@p340) :args (@t128)) % 18.96/19.16 (step @p342 :rule trans :premises (@p341 @p153)) % 18.96/19.16 (step @p343 :rule refl :args (@t17)) % 18.96/19.16 (step @p344 :rule cong :premises (@p343 @p342) :args (@t129)) % 18.96/19.16 (step @p345 :rule cong :premises (@p344) :args (@t130)) % 18.96/19.16 (step @p346 :rule trans :premises (@p345 @p127)) % 18.96/19.16 (step @p347 :rule cong :premises (@p346) :args (@t131)) % 18.96/19.16 (step @p348 :rule eq_resolve :premises (@p96 @p347)) % 18.96/19.16 (step @p349 :rule refl :args (@t331)) % 18.96/19.16 (step @p350 :rule bool-double-not-elim :args (@t296)) % 18.96/19.16 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or (not @t332) @t331))) % 18.96/19.16 (step @p352 :rule refl :args (@t314)) % 18.96/19.16 (step @p353 :rule refl :args (@t315)) % 18.96/19.16 (step @p354 :rule eq-symm :args (@t306 tptp.nil)) % 18.96/19.16 (step 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(assume-push @p919 @t520) % 18.96/19.16 (assume-push @p920 @t520) % 18.96/19.16 (assume-push @p921 @t390) % 18.96/19.16 (assume-push @p922 @t303) % 18.96/19.16 (step @p782 :rule true_intro :premises (@p919)) % 18.96/19.16 (step @p750 :rule refl :args (@t301)) % 18.96/19.16 (step @p783 :rule refl :args (@t300)) % 18.96/19.16 (step @p784 :rule cong :premises (@p918 @p783) :args (@t302)) % 18.96/19.16 (step @p785 :rule trans :premises (@p917 @p784)) % 18.96/19.16 (step @p786 :rule cong :premises (@p785 @p750) :args (@t448)) % 18.96/19.16 (step @p787 :rule trans :premises (@p786 @p782)) % 18.96/19.16 (step @p788 :rule true_elim :premises (@p787)) % 18.96/19.16 (step-pop @p923 :rule scope :premises (@p788)) % 18.96/19.16 (step-pop @p924 :rule scope :premises (@p923)) % 18.96/19.16 (step-pop @p925 :rule scope :premises (@p924)) % 18.96/19.16 (step @p789 :rule process_scope :premises (@p925) :args (@t448)) % 18.96/19.16 (step @p793 :rule and_intro :premises (@p919 @p918 @p917)) % 18.96/19.16 (step @p794 :rule modus_ponens :premises (@p793 @p789)) % 18.96/19.16 (step-pop @p926 :rule scope :premises (@p794)) % 18.96/19.16 (step-pop @p927 :rule scope :premises (@p926)) % 18.96/19.16 (step-pop @p928 :rule scope :premises (@p927)) % 18.96/19.16 (step @p795 :rule process_scope :premises (@p928) :args (@t448)) % 18.96/19.16 (step @p799 :rule implies_elim :premises (@p795)) % 18.96/19.16 (step @p800 :rule cnf_and_neg :args (@t522)) % 18.96/19.16 (step @p801 :rule resolution :premises (@p800 @p799) :args (true @t522)) % 18.96/19.16 (step @p802 :rule reordering :premises (@p801) :args ((or @t304 @t448 @t523 (not @t520)))) % 18.96/19.16 (step @p803 :rule chain_m_resolution :premises (@p802 @p487 @p547 @p775) :args (@t448 @t421 (@list @t303 @t390 @t520))) % 18.96/19.16 (step @p804 :rule cnf_or_pos :args (@t451)) % 18.96/19.16 (step @p805 :rule reordering :premises (@p804) :args ((or @t310 @t450 @t449 @t447 (not @t451)))) % 18.96/19.16 (step @p806 :rule chain_m_resolution :premises (@p805 @p544 @p803 @p770 @p646) :args (@t450 @t387 (@list @t309 @t448 @t446 @t451))) % 18.96/19.16 (step @p807 :rule bool-double-not-elim :args (@t442)) % 18.96/19.16 (step @p808 :rule refl :args (@t524)) % 18.96/19.16 (step @p809 :rule nary_cong :premises (@p808 @p626 @p807) :args ((or @t524 @t439 (not @t443)))) % 18.96/19.16 (step @p810 :rule cnf_equiv_pos2 :args (@t444)) % 18.96/19.16 (step @p811 :rule eq_resolve :premises (@p810 @p809)) % 18.96/19.16 (step @p812 :rule reordering :premises (@p811) :args ((or @t442 @t439 @t524))) % 18.96/19.16 (step @p813 :rule chain_m_resolution :premises (@p812 @p806 @p640) :args (@t442 @t368 (@list @t439 @t444))) % 18.96/19.16 (step @p814 :rule refl :args (@t525)) % 18.96/19.16 (step @p815 :rule refl :args (@t526)) % 18.96/19.16 (step @p816 :rule refl :args (@t443)) % 18.96/19.16 (step @p817 :rule refl :args (@t523)) % 18.96/19.16 (step @p818 :rule bool-double-not-elim :args (@t380)) % 18.96/19.16 (step @p819 :rule refl :args (@t527)) % 18.96/19.16 (step @p820 :rule refl :args (@t528)) % 18.96/19.16 (step @p821 :rule refl :args (@t304)) % 18.96/19.16 (step @p822 :rule refl :args (@t308)) % 18.96/19.16 (step @p823 :rule nary_cong :premises (@p822 @p821 @p820 @p819 @p818 @p817 @p816 @p815 @p814) :args ((or @t308 @t304 @t528 @t527 (not @t381) @t523 @t443 @t526 @t525))) % 18.96/19.16 (assume-push @p929 @t377) % 18.96/19.16 (assume-push @p930 @t307) % 18.96/19.16 (assume-push @p931 @t442) % 18.96/19.16 (assume-push @p932 @t419) % 18.96/19.16 (assume-push @p933 @t374) % 18.96/19.16 (assume-push @p934 @t435) % 18.96/19.16 (assume-push @p935 @t390) % 18.96/19.16 (assume-push @p936 @t303) % 18.96/19.16 (assume-push @p937 @t381) % 18.96/19.16 (step @p833 :rule evaluate :args ((= false true))) % 18.96/19.16 (step @p834 :rule true_intro :premises (@p512)) % 18.96/19.16 (step @p835 :rule symm :premises (@p930)) % 18.96/19.16 (step @p783 :rule refl :args (@t300)) % 18.96/19.16 (step @p836 :rule cong :premises (@p783 @p931) :args (@t418)) % 18.96/19.16 (step @p837 :rule refl :args (@t299)) % 18.96/19.16 (step @p838 :rule cong :premises (@p837 @p498) :args (@t300)) % 18.96/19.16 (step @p839 :rule symm :premises (@p934)) % 18.96/19.16 (step @p840 :rule symm :premises (@p931)) % 18.96/19.16 (step @p841 :rule symm :premises (@p935)) % 18.96/19.16 (step @p842 :rule trans :premises (@p841 @p840)) % 18.96/19.16 (step @p843 :rule cong :premises (@p842 @p783) :args (@t519)) % 18.96/19.16 (step @p844 :rule cong :premises (@p935 @p783) :args (@t302)) % 18.96/19.16 (step @p845 :rule trans :premises (@p936 @p844 @p843 @p839 @p838 @p932 @p836 @p835)) % 18.96/19.16 (step @p846 :rule refl :args (@t306)) % 18.96/19.16 (step @p847 :rule cong :premises (@p846 @p845) :args (@t380)) % 18.96/19.16 (step @p848 :rule false_intro :premises (@p937)) % 18.96/19.16 (step @p849 :rule symm :premises (@p848)) % 18.96/19.16 (step @p850 :rule trans :premises (@p849 @p847 @p834)) % 18.96/19.16 (step @p851 false :rule eq_resolve :premises (@p850 @p833)) % 18.96/19.16 (step-pop @p938 :rule scope :premises (@p851)) % 18.96/19.16 (step-pop @p939 :rule scope :premises (@p938)) % 18.96/19.16 (step-pop @p940 :rule scope :premises (@p939)) % 18.96/19.16 (step-pop @p941 :rule scope :premises (@p940)) % 18.96/19.16 (step-pop @p942 :rule scope :premises (@p941)) % 18.96/19.16 (step-pop @p943 :rule scope :premises (@p942)) % 18.96/19.16 (step-pop @p944 :rule scope :premises (@p943)) % 18.96/19.16 (step-pop @p945 :rule scope :premises (@p944)) % 18.96/19.16 (step-pop @p946 :rule scope :premises (@p945)) % 18.96/19.16 (step @p852 :rule process_scope :premises (@p946) :args (false)) % 18.96/19.16 (assume-push @p947 @t307) % 18.96/19.16 (assume-push @p948 @t303) % 18.96/19.16 (assume-push @p949 @t374) % 18.96/19.16 (assume-push @p950 @t377) % 18.96/19.16 (assume-push @p951 @t381) % 18.96/19.16 (assume-push @p952 @t390) % 18.96/19.16 (assume-push @p953 @t442) % 18.96/19.16 (assume-push @p954 @t419) % 18.96/19.16 (assume-push @p955 @t435) % 18.96/19.16 (step @p871 :rule and_intro :premises (@p512 @p947 @p953 @p954 @p498 @p955 @p952 @p948 @p951)) % 18.96/19.16 (step-pop @p956 :rule scope :premises (@p871)) % 18.96/19.16 (step-pop @p957 :rule scope :premises (@p956)) % 18.96/19.16 (step-pop @p958 :rule scope :premises (@p957)) % 18.96/19.16 (step-pop @p959 :rule scope :premises (@p958)) % 18.96/19.16 (step-pop @p960 :rule scope :premises (@p959)) % 18.96/19.16 (step-pop @p961 :rule scope :premises (@p960)) % 18.96/19.16 (step-pop @p962 :rule scope :premises (@p961)) % 18.96/19.16 (step-pop @p963 :rule scope :premises (@p962)) % 18.96/19.16 (step-pop @p964 :rule scope :premises (@p963)) % 18.96/19.16 (step @p872 :rule process_scope :premises (@p964) :args (@t529)) % 18.96/19.16 (step @p882 :rule implies_elim :premises (@p872)) % 18.96/19.16 (step @p883 :rule resolution :premises (@p882 @p852) :args (true @t529)) % 18.96/19.16 (step @p884 :rule not_and :premises (@p883)) % 18.96/19.16 (step @p885 :rule eq_resolve :premises (@p884 @p823)) % 18.96/19.16 (step @p886 false :rule chain_m_resolution :premises (@p885 @p813 @p623 @p595 @p547 @p537 @p512 @p498 @p487 @p481) :args (false (@list false false false false true false false false false) (@list @t442 @t435 @t419 @t390 @t380 @t377 @t374 @t303 @t307))) % 18.96/19.16 ) % 18.96/19.16 % SZS output end Proof % 18.96/19.16 % cvc5 exiting %------------------------------------------------------------------------------