%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC088+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 : n003.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 08:58:00 AM UTC 2026 % Result : Theorem 220.33s 220.67s % Output : Proof 220.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC088+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 % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:13:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 220.33/220.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 220.33/220.67 --- Run --no-e-matching --full-saturate-quant at 6... % 220.33/220.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 220.33/220.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 220.33/220.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 220.33/220.67 --- Run --trigger-sel=max --full-saturate-quant at 15... % 220.33/220.67 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 220.33/220.67 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 220.33/220.67 --- Run --prenex-quant=none --full-saturate-quant at 30... % 220.33/220.67 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 220.33/220.67 --- Run --relevant-triggers --full-saturate-quant at 30... % 220.33/220.67 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 220.33/220.67 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 220.33/220.67 % SZS status Theorem % 220.33/220.67 % SZS output start Proof % 220.33/220.67 ( % 220.33/220.67 (declare-sort $$unsorted 0) % 220.33/220.67 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 220.33/220.67 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 220.33/220.67 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 220.33/220.67 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 220.33/220.67 (declare-const tptp.nil $$unsorted) % 220.33/220.67 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.ssList (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 220.33/220.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 220.33/220.67 (define @t1 () (@var "V" $$unsorted)) % 220.33/220.67 (define @t2 () (@var "U" $$unsorted)) % 220.33/220.67 (define @t3 () (= @t2 @t1)) % 220.33/220.67 (define @t4 () (not @t3)) % 220.33/220.67 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 220.33/220.67 (define @t6 () (tptp.ssItem @t1)) % 220.33/220.67 (define @t7 () (@list @t1)) % 220.33/220.67 (define @t8 () (tptp.ssItem @t2)) % 220.33/220.67 (define @t9 () (@list @t2)) % 220.33/220.67 (define @t10 () (@var "X" $$unsorted)) % 220.33/220.67 (define @t11 () (tptp.cons @t1 @t10)) % 220.33/220.67 (define @t12 () (@var "W" $$unsorted)) % 220.33/220.67 (define @t13 () (tptp.ssList @t10)) % 220.33/220.67 (define @t14 () (@list @t10)) % 220.33/220.67 (define @t15 () (tptp.ssList @t12)) % 220.33/220.67 (define @t16 () (@list @t12)) % 220.33/220.67 (define @t17 () (tptp.ssList @t2)) % 220.33/220.67 (define @t18 () (tptp.cons @t1 tptp.nil)) % 220.33/220.67 (define @t19 () (tptp.app @t1 @t12)) % 220.33/220.67 (define @t20 () (tptp.frontsegP @t2 @t1)) % 220.33/220.67 (define @t21 () (tptp.ssList @t1)) % 220.33/220.67 (define @t22 () (tptp.app @t12 @t1)) % 220.33/220.67 (define @t23 () (tptp.rearsegP @t2 @t1)) % 220.33/220.67 (define @t24 () (tptp.segmentP @t2 @t1)) % 220.33/220.67 (define @t25 () (tptp.leq @t12 @t1)) % 220.33/220.67 (define @t26 () (tptp.leq @t1 @t12)) % 220.33/220.67 (define @t27 () (@var "Z" $$unsorted)) % 220.33/220.67 (define @t28 () (@var "Y" $$unsorted)) % 220.33/220.67 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 220.33/220.67 (define @t30 () (tptp.ssList @t27)) % 220.33/220.67 (define @t31 () (@list @t27)) % 220.33/220.67 (define @t32 () (tptp.ssList @t28)) % 220.33/220.67 (define @t33 () (@list @t28)) % 220.33/220.67 (define @t34 () (tptp.ssItem @t12)) % 220.33/220.67 (define @t35 () (tptp.lt @t1 @t12)) % 220.33/220.67 (define @t36 () (= @t1 @t12)) % 220.33/220.67 (define @t37 () (forall @t7 (=> @t21 @t5))) % 220.33/220.67 (define @t38 () (=> @t17 @t37)) % 220.33/220.67 (define @t39 () (forall @t9 @t38)) % 220.33/220.67 (define @t40 () (tptp.cons @t1 @t2)) % 220.33/220.67 (define @t41 () (tptp.ssList @t40)) % 220.33/220.67 (define @t42 () (forall @t7 (=> @t6 @t41))) % 220.33/220.67 (define @t43 () (=> @t17 @t42)) % 220.33/220.67 (define @t44 () (forall @t9 @t43)) % 220.33/220.67 (define @t45 () (tptp.ssList tptp.nil)) % 220.33/220.67 (define @t46 () (= @t1 @t2)) % 220.33/220.67 (define @t47 () (tptp.cons @t12 @t1)) % 220.33/220.67 (define @t48 () (= tptp.nil @t2)) % 220.33/220.67 (define @t49 () (tptp.hd @t2)) % 220.33/220.67 (define @t50 () (tptp.ssItem @t49)) % 220.33/220.67 (define @t51 () (not @t48)) % 220.33/220.67 (define @t52 () (=> @t51 @t50)) % 220.33/220.67 (define @t53 () (=> @t17 @t52)) % 220.33/220.67 (define @t54 () (forall @t9 @t53)) % 220.33/220.67 (define @t55 () (tptp.tl @t2)) % 220.33/220.67 (define @t56 () (tptp.ssList @t55)) % 220.33/220.67 (define @t57 () (=> @t51 @t56)) % 220.33/220.67 (define @t58 () (=> @t17 @t57)) % 220.33/220.67 (define @t59 () (forall @t9 @t58)) % 220.33/220.67 (define @t60 () (tptp.app @t2 @t1)) % 220.33/220.67 (define @t61 () (tptp.app @t1 @t2)) % 220.33/220.67 (define @t62 () (tptp.app tptp.nil @t2)) % 220.33/220.67 (define @t63 () (=> @t17 (= @t62 @t2))) % 220.33/220.67 (define @t64 () (forall @t9 @t63)) % 220.33/220.67 (define @t65 () (tptp.leq @t1 @t2)) % 220.33/220.67 (define @t66 () (tptp.leq @t2 @t1)) % 220.33/220.67 (define @t67 () (tptp.geq @t2 @t1)) % 220.33/220.67 (define @t68 () (tptp.lt @t1 @t2)) % 220.33/220.67 (define @t69 () (tptp.lt @t2 @t1)) % 220.33/220.67 (define @t70 () (tptp.lt @t2 @t12)) % 220.33/220.67 (define @t71 () (tptp.gt @t2 @t1)) % 220.33/220.67 (define @t72 () (tptp.memberP @t12 @t2)) % 220.33/220.67 (define @t73 () (tptp.app @t12 @t2)) % 220.33/220.67 (define @t74 () (tptp.segmentP @t2 @t2)) % 220.33/220.67 (define @t75 () (forall @t9 (=> @t17 @t74))) % 220.33/220.67 (define @t76 () (tptp.segmentP (tptp.app @t73 @t10) @t1)) % 220.33/220.67 (define @t77 () (=> @t24 @t76)) % 220.33/220.67 (define @t78 () (forall @t14 (=> @t13 @t77))) % 220.33/220.67 (define @t79 () (=> @t15 @t78)) % 220.33/220.67 (define @t80 () (forall @t16 @t79)) % 220.33/220.67 (define @t81 () (=> @t21 @t80)) % 220.33/220.67 (define @t82 () (forall @t7 @t81)) % 220.33/220.67 (define @t83 () (=> @t17 @t82)) % 220.33/220.67 (define @t84 () (forall @t9 @t83)) % 220.33/220.67 (define @t85 () (tptp.cons @t2 tptp.nil)) % 220.33/220.67 (define @t86 () (tptp.hd @t1)) % 220.33/220.67 (define @t87 () (= tptp.nil @t1)) % 220.33/220.67 (define @t88 () (not @t87)) % 220.33/220.67 (define @t89 () (tptp.cons @t2 @t1)) % 220.33/220.67 (define @t90 () (tptp.cons @t49 @t55)) % 220.33/220.67 (define @t91 () (=> @t51 (= @t90 @t2))) % 220.33/220.67 (define @t92 () (=> @t17 @t91)) % 220.33/220.67 (define @t93 () (forall @t9 @t92)) % 220.33/220.67 (define @t94 () (= @t12 @t2)) % 220.33/220.67 (define @t95 () (= @t40 (tptp.app @t18 @t2))) % 220.33/220.67 (define @t96 () (forall @t7 (=> @t6 @t95))) % 220.33/220.67 (define @t97 () (=> @t17 @t96)) % 220.33/220.67 (define @t98 () (forall @t9 @t97)) % 220.33/220.67 (define @t99 () (tptp.app @t2 tptp.nil)) % 220.33/220.67 (define @t100 () (=> @t17 (= @t99 @t2))) % 220.33/220.67 (define @t101 () (forall @t9 @t100)) % 220.33/220.67 (define @t102 () (= (tptp.tl @t60) (tptp.app @t55 @t1))) % 220.33/220.67 (define @t103 () (=> @t51 @t102)) % 220.33/220.67 (define @t104 () (=> @t21 @t103)) % 220.33/220.67 (define @t105 () (forall @t7 @t104)) % 220.33/220.67 (define @t106 () (=> @t17 @t105)) % 220.33/220.67 (define @t107 () (forall @t9 @t106)) % 220.33/220.67 (define @t108 () (not (= tptp.nil @t12))) % 220.33/220.67 (define @t109 () (and @t108 (= tptp.nil @t10))) % 220.33/220.67 (define @t110 () (@var "X1" $$unsorted)) % 220.33/220.67 (define @t111 () (tptp.cons @t27 tptp.nil)) % 220.33/220.67 (define @t112 () (tptp.app @t111 @t110)) % 220.33/220.67 (define @t113 () (tptp.app @t110 @t111)) % 220.33/220.67 (define @t114 () (not (= @t113 @t12))) % 220.33/220.67 (define @t115 () (tptp.ssList @t110)) % 220.33/220.67 (define @t116 () (and @t115 @t114 (= @t112 @t10))) % 220.33/220.67 (define @t117 () (@list @t110)) % 220.33/220.67 (define @t118 () (exists @t117 @t116)) % 220.33/220.67 (define @t119 () (tptp.ssItem @t27)) % 220.33/220.67 (define @t120 () (and @t119 @t118)) % 220.33/220.67 (define @t121 () (exists @t31 @t120)) % 220.33/220.67 (define @t122 () (tptp.segmentP @t2 @t28)) % 220.33/220.67 (define @t123 () (tptp.segmentP @t1 @t28)) % 220.33/220.67 (define @t124 () (tptp.neq @t28 tptp.nil)) % 220.33/220.67 (define @t125 () (and @t32 @t124 @t123 @t122)) % 220.33/220.67 (define @t126 () (exists @t33 @t125)) % 220.33/220.67 (define @t127 () (not (tptp.neq @t1 tptp.nil))) % 220.33/220.67 (define @t128 () (not (= @t2 @t12))) % 220.33/220.67 (define @t129 () (not (= @t1 @t10))) % 220.33/220.67 (define @t130 () (or @t129 @t128 @t127 @t126 @t121 @t109)) % 220.33/220.67 (define @t131 () (=> @t13 @t130)) % 220.33/220.67 (define @t132 () (forall @t14 @t131)) % 220.33/220.67 (define @t133 () (=> @t15 @t132)) % 220.33/220.67 (define @t134 () (forall @t16 @t133)) % 220.33/220.67 (define @t135 () (=> @t21 @t134)) % 220.33/220.67 (define @t136 () (forall @t7 @t135)) % 220.33/220.67 (define @t137 () (=> @t17 @t136)) % 220.33/220.67 (define @t138 () (forall @t9 @t137)) % 220.33/220.67 (define @t139 () (not @t138)) % 220.33/220.67 (define @t140 () (@var "BOUND_VARIABLE_9112" $$unsorted)) % 220.33/220.67 (define @t141 () (= (tptp.neq @t2 @t140) (not (= @t2 @t140)))) % 220.33/220.67 (define @t142 () (not (tptp.ssList @t140))) % 220.33/220.67 (define @t143 () (not @t17)) % 220.33/220.67 (define @t144 () (or @t143 @t142 @t141)) % 220.33/220.67 (define @t145 () (or @t142 @t141)) % 220.33/220.67 (define @t146 () (or @t143 @t145)) % 220.33/220.67 (define @t147 () (@list @t2 @t140)) % 220.33/220.67 (define @t148 () (forall @t147 @t146)) % 220.33/220.67 (define @t149 () (@list @t140)) % 220.33/220.67 (define @t150 () (forall @t149 @t146)) % 220.33/220.67 (define @t151 () (forall @t149 @t145)) % 220.33/220.67 (define @t152 () (@list @t1)) % 220.33/220.67 (define @t153 () (or @t143 @t151)) % 220.33/220.67 (define @t154 () (not @t21)) % 220.33/220.67 (define @t155 () (forall @t7 (or @t154 @t5))) % 220.33/220.67 (define @t156 () (@var "BOUND_VARIABLE_11033" $$unsorted)) % 220.33/220.67 (define @t157 () (= @t2 tptp.nil)) % 220.33/220.67 (define @t158 () (not @t157)) % 220.33/220.67 (define @t159 () (@var "BOUND_VARIABLE_10965" $$unsorted)) % 220.33/220.67 (define @t160 () (tptp.app @t111 @t159)) % 220.33/220.67 (define @t161 () (tptp.app @t159 @t111)) % 220.33/220.67 (define @t162 () (= @t2 @t161)) % 220.33/220.67 (define @t163 () (not (tptp.ssList @t159))) % 220.33/220.67 (define @t164 () (not @t119)) % 220.33/220.67 (define @t165 () (@list @t27 @t159)) % 220.33/220.67 (define @t166 () (not @t122)) % 220.33/220.67 (define @t167 () (not @t124)) % 220.33/220.67 (define @t168 () (not @t32)) % 220.33/220.67 (define @t169 () (not (forall @t33 (or @t168 @t167 (not (tptp.segmentP @t156 @t28)) @t166)))) % 220.33/220.67 (define @t170 () (not (tptp.neq @t156 tptp.nil))) % 220.33/220.67 (define @t171 () (not (tptp.ssList @t156))) % 220.33/220.67 (define @t172 () (@list @t2 @t156)) % 220.33/220.67 (define @t173 () (forall @t172 (or @t143 @t171 @t170 @t169 (not (forall @t165 (or @t164 @t163 @t162 (not (= @t160 @t156))))) (and @t158 (= tptp.nil @t156))))) % 220.33/220.67 (define @t174 () (@quantifiers_skolemize @t173 1)) % 220.33/220.67 (define @t175 () (= @t174 tptp.nil)) % 220.33/220.67 (define @t176 () (not @t175)) % 220.33/220.67 (define @t177 () (tptp.neq @t174 tptp.nil)) % 220.33/220.67 (define @t178 () (= @t177 @t176)) % 220.33/220.67 (define @t179 () (not @t45)) % 220.33/220.67 (define @t180 () (tptp.ssList @t174)) % 220.33/220.67 (define @t181 () (not @t180)) % 220.33/220.67 (define @t182 () (or @t181 @t179 @t178)) % 220.33/220.67 (define @t183 () (forall @t147 @t144)) % 220.33/220.67 (define @t184 () (@list @t174 tptp.nil)) % 220.33/220.67 (define @t185 () (= tptp.nil @t174)) % 220.33/220.67 (define @t186 () (not @t185)) % 220.33/220.67 (define @t187 () (= @t177 @t186)) % 220.33/220.67 (define @t188 () (or @t181 @t179 @t187)) % 220.33/220.67 (define @t189 () (@list false)) % 220.33/220.67 (define @t190 () (@list @t183)) % 220.33/220.67 (define @t191 () (@quantifiers_skolemize @t173 0)) % 220.33/220.67 (define @t192 () (not (= @t191 tptp.nil))) % 220.33/220.67 (define @t193 () (and @t192 @t185)) % 220.33/220.67 (define @t194 () (not (= @t160 @t174))) % 220.33/220.67 (define @t195 () (or @t164 @t163 (= @t191 @t161) @t194)) % 220.33/220.67 (define @t196 () (forall @t165 @t195)) % 220.33/220.67 (define @t197 () (not @t196)) % 220.33/220.67 (define @t198 () (not (forall @t33 (or @t168 @t167 (not (tptp.segmentP @t174 @t28)) (not (tptp.segmentP @t191 @t28)))))) % 220.33/220.67 (define @t199 () (not @t177)) % 220.33/220.67 (define @t200 () (tptp.ssList @t191)) % 220.33/220.67 (define @t201 () (not @t200)) % 220.33/220.67 (define @t202 () (or @t201 @t181 @t199 @t198 @t197 @t193)) % 220.33/220.67 (define @t203 () (not @t202)) % 220.33/220.67 (define @t204 () (and @t158 (= @t156 tptp.nil))) % 220.33/220.67 (define @t205 () (not (= @t156 @t160))) % 220.33/220.67 (define @t206 () (or @t164 @t163 @t162 @t205)) % 220.33/220.67 (define @t207 () (forall @t165 @t206)) % 220.33/220.67 (define @t208 () (not @t207)) % 220.33/220.67 (define @t209 () (or @t143 @t171 @t170 @t169 @t208 @t204)) % 220.33/220.67 (define @t210 () (or @t171 @t170 @t169 @t208 @t204)) % 220.33/220.67 (define @t211 () (or @t143 @t210)) % 220.33/220.67 (define @t212 () (forall @t172 @t211)) % 220.33/220.67 (define @t213 () (@list @t156)) % 220.33/220.67 (define @t214 () (forall @t213 @t211)) % 220.33/220.67 (define @t215 () (forall @t213 @t210)) % 220.33/220.67 (define @t216 () (or @t143 @t215)) % 220.33/220.67 (define @t217 () (= @t1 tptp.nil)) % 220.33/220.67 (define @t218 () (and @t158 @t217)) % 220.33/220.67 (define @t219 () (not (= @t1 @t160))) % 220.33/220.67 (define @t220 () (not (forall @t165 (or @t164 @t163 @t162 @t219)))) % 220.33/220.67 (define @t221 () (not @t123)) % 220.33/220.67 (define @t222 () (or @t168 @t167 @t221 @t166)) % 220.33/220.67 (define @t223 () (not (forall @t33 @t222))) % 220.33/220.67 (define @t224 () (or @t154 @t127 @t223 @t220 @t218)) % 220.33/220.67 (define @t225 () (or @t143 (forall @t7 @t224))) % 220.33/220.67 (define @t226 () (or @t143 @t224)) % 220.33/220.67 (define @t227 () (or @t154 @t127 @t223 @t143 @t220 @t218)) % 220.33/220.67 (define @t228 () (or @t127 @t223 @t154 @t143 @t220 @t218)) % 220.33/220.67 (define @t229 () (or @t143 @t220 @t218)) % 220.33/220.67 (define @t230 () (not (= @t2 @t2))) % 220.33/220.67 (define @t231 () (or @t143 @t230 @t220 @t218)) % 220.33/220.67 (define @t232 () (not (= @t12 tptp.nil))) % 220.33/220.67 (define @t233 () (and @t232 @t217)) % 220.33/220.67 (define @t234 () (= @t12 @t161)) % 220.33/220.67 (define @t235 () (not (forall @t165 (or @t164 @t163 @t234 @t219)))) % 220.33/220.67 (define @t236 () (not @t15)) % 220.33/220.67 (define @t237 () (or @t128 @t236 @t128 @t235 @t233)) % 220.33/220.67 (define @t238 () (or @t236 @t128 @t235 @t233)) % 220.33/220.67 (define @t239 () (forall @t16 @t238)) % 220.33/220.67 (define @t240 () (or @t127 @t223 @t154 @t239)) % 220.33/220.67 (define @t241 () (or @t127 @t223 @t154 @t238)) % 220.33/220.67 (define @t242 () (or @t236 @t128 @t127 @t223 @t154 @t235 @t233)) % 220.33/220.67 (define @t243 () (or @t128 @t127 @t223 @t154 @t235 @t233)) % 220.33/220.67 (define @t244 () (or @t154 @t235 @t233)) % 220.33/220.67 (define @t245 () (not (= @t1 @t1))) % 220.33/220.67 (define @t246 () (or @t154 @t245 @t235 @t233)) % 220.33/220.67 (define @t247 () (and @t232 (= @t10 tptp.nil))) % 220.33/220.67 (define @t248 () (not (= @t10 @t160))) % 220.33/220.67 (define @t249 () (or @t164 @t163 @t234 @t248)) % 220.33/220.67 (define @t250 () (not (forall @t165 @t249))) % 220.33/220.67 (define @t251 () (not @t13)) % 220.33/220.67 (define @t252 () (or @t129 @t251 @t129 @t250 @t247)) % 220.33/220.67 (define @t253 () (or @t251 @t129 @t250 @t247)) % 220.33/220.67 (define @t254 () (forall @t14 @t253)) % 220.33/220.67 (define @t255 () (or @t128 @t127 @t223 @t254)) % 220.33/220.67 (define @t256 () (or @t128 @t127 @t223 @t253)) % 220.33/220.67 (define @t257 () (or @t251 @t129 @t128 @t127 @t223 @t250 @t247)) % 220.33/220.67 (define @t258 () (or @t129 @t128 @t127 @t223 @t250 @t247)) % 220.33/220.67 (define @t259 () (or @t163 @t234 @t248)) % 220.33/220.67 (define @t260 () (or @t164 @t259)) % 220.33/220.67 (define @t261 () (forall @t165 @t260)) % 220.33/220.67 (define @t262 () (@list @t159)) % 220.33/220.67 (define @t263 () (forall @t262 @t260)) % 220.33/220.67 (define @t264 () (forall @t262 @t259)) % 220.33/220.67 (define @t265 () (or @t164 @t264)) % 220.33/220.67 (define @t266 () (= @t10 @t112)) % 220.33/220.67 (define @t267 () (not @t266)) % 220.33/220.67 (define @t268 () (= @t12 @t113)) % 220.33/220.67 (define @t269 () (not @t115)) % 220.33/220.67 (define @t270 () (forall @t117 (or @t269 @t268 @t267))) % 220.33/220.67 (define @t271 () (not @t270)) % 220.33/220.67 (define @t272 () (and @t119 @t271)) % 220.33/220.67 (define @t273 () (forall @t31 (not @t272))) % 220.33/220.67 (define @t274 () (not @t273)) % 220.33/220.67 (define @t275 () (not @t268)) % 220.33/220.67 (define @t276 () (not @t275)) % 220.33/220.67 (define @t277 () (or @t269 @t276 @t267)) % 220.33/220.67 (define @t278 () (and @t115 @t275 @t266)) % 220.33/220.67 (define @t279 () (forall @t117 (not @t278))) % 220.33/220.67 (define @t280 () (not @t279)) % 220.33/220.67 (define @t281 () (forall @t33 (not @t125))) % 220.33/220.67 (define @t282 () (not @t281)) % 220.33/220.67 (define @t283 () (@list false false false)) % 220.33/220.67 (define @t284 () (@list false false)) % 220.33/220.67 (define @t285 () (= @t2 @t62)) % 220.33/220.67 (define @t286 () (= tptp.nil (tptp.app tptp.nil tptp.nil))) % 220.33/220.67 (define @t287 () (or @t179 @t286)) % 220.33/220.67 (define @t288 () (@list @t174)) % 220.33/220.67 (define @t289 () (= @t174 (tptp.app tptp.nil @t174))) % 220.33/220.67 (define @t290 () (or @t181 @t289)) % 220.33/220.67 (define @t291 () (= @t2 @t90)) % 220.33/220.67 (define @t292 () (or @t143 @t157 @t291)) % 220.33/220.67 (define @t293 () (not @t158)) % 220.33/220.67 (define @t294 () (=> @t158 @t291)) % 220.33/220.67 (define @t295 () (tptp.tl @t174)) % 220.33/220.67 (define @t296 () (tptp.hd @t174)) % 220.33/220.67 (define @t297 () (tptp.cons @t296 @t295)) % 220.33/220.67 (define @t298 () (= @t174 @t297)) % 220.33/220.67 (define @t299 () (or @t181 @t175 @t298)) % 220.33/220.67 (define @t300 () (forall @t9 @t292)) % 220.33/220.67 (define @t301 () (or @t181 @t185 @t298)) % 220.33/220.67 (define @t302 () (@list false true false)) % 220.33/220.67 (define @t303 () (= @t2 @t99)) % 220.33/220.67 (define @t304 () (@list @t191)) % 220.33/220.67 (define @t305 () (tptp.app @t191 tptp.nil)) % 220.33/220.67 (define @t306 () (= @t191 @t305)) % 220.33/220.67 (define @t307 () (or @t201 @t306)) % 220.33/220.67 (define @t308 () (tptp.app @t174 tptp.nil)) % 220.33/220.67 (define @t309 () (= @t174 @t308)) % 220.33/220.67 (define @t310 () (or @t181 @t309)) % 220.33/220.67 (define @t311 () (@list @t180 @t310)) % 220.33/220.67 (define @t312 () (@list @t295)) % 220.33/220.67 (define @t313 () (or @t143 @t157 @t56)) % 220.33/220.67 (define @t314 () (=> @t158 @t56)) % 220.33/220.67 (define @t315 () (tptp.ssList @t295)) % 220.33/220.67 (define @t316 () (or @t181 @t175 @t315)) % 220.33/220.67 (define @t317 () (forall @t9 @t313)) % 220.33/220.67 (define @t318 () (or @t181 @t185 @t315)) % 220.33/220.67 (define @t319 () (tptp.app tptp.nil @t295)) % 220.33/220.67 (define @t320 () (= @t295 @t319)) % 220.33/220.67 (define @t321 () (not @t315)) % 220.33/220.67 (define @t322 () (or @t321 @t320)) % 220.33/220.67 (define @t323 () (tptp.cons @t296 tptp.nil)) % 220.33/220.67 (define @t324 () (tptp.app @t323 @t295)) % 220.33/220.67 (define @t325 () (not (= @t324 @t174))) % 220.33/220.67 (define @t326 () (tptp.app @t295 @t323)) % 220.33/220.67 (define @t327 () (tptp.ssItem @t296)) % 220.33/220.67 (define @t328 () (not @t327)) % 220.33/220.67 (define @t329 () (or @t328 @t321 (= @t326 @t191) @t325)) % 220.33/220.67 (define @t330 () (forall @t165 (or @t164 @t163 (= @t161 @t191) @t194))) % 220.33/220.67 (define @t331 () (= @t174 @t324)) % 220.33/220.67 (define @t332 () (not @t331)) % 220.33/220.67 (define @t333 () (= @t191 @t326)) % 220.33/220.67 (define @t334 () (or @t328 @t321 @t333 @t332)) % 220.33/220.67 (define @t335 () (@list @t330)) % 220.33/220.67 (define @t336 () (@var "BOUND_VARIABLE_10536" $$unsorted)) % 220.33/220.67 (define @t337 () (= (tptp.cons @t336 @t2) (tptp.app (tptp.cons @t336 tptp.nil) @t2))) % 220.33/220.67 (define @t338 () (not (tptp.ssItem @t336))) % 220.33/220.67 (define @t339 () (or @t338 @t337)) % 220.33/220.67 (define @t340 () (or @t143 @t339)) % 220.33/220.67 (define @t341 () (forall (@list @t2 @t336) @t340)) % 220.33/220.67 (define @t342 () (@list @t336)) % 220.33/220.67 (define @t343 () (forall @t342 @t340)) % 220.33/220.67 (define @t344 () (forall @t342 @t339)) % 220.33/220.67 (define @t345 () (or @t143 @t344)) % 220.33/220.67 (define @t346 () (not @t6)) % 220.33/220.67 (define @t347 () (forall @t7 (or @t346 @t95))) % 220.33/220.67 (define @t348 () (or @t143 @t157 @t50)) % 220.33/220.67 (define @t349 () (=> @t158 @t50)) % 220.33/220.67 (define @t350 () (or @t181 @t175 @t327)) % 220.33/220.67 (define @t351 () (forall @t9 @t348)) % 220.33/220.67 (define @t352 () (or @t181 @t185 @t327)) % 220.33/220.67 (define @t353 () (= @t297 @t324)) % 220.33/220.67 (define @t354 () (or @t321 @t328 @t353)) % 220.33/220.67 (define @t355 () (@list false false false false)) % 220.33/220.67 (define @t356 () (@list @t327 @t315 @t331 @t334)) % 220.33/220.67 (define @t357 () (tptp.neq @t295 tptp.nil)) % 220.33/220.67 (define @t358 () (= tptp.nil @t295)) % 220.33/220.67 (define @t359 () (not @t358)) % 220.33/220.67 (define @t360 () (not (= @t295 tptp.nil))) % 220.33/220.67 (define @t361 () (= @t357 @t360)) % 220.33/220.67 (define @t362 () (or @t321 @t179 @t361)) % 220.33/220.67 (define @t363 () (= @t359 @t357)) % 220.33/220.67 (define @t364 () (or @t321 @t179 @t363)) % 220.33/220.67 (define @t365 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 220.33/220.67 (define @t366 () (@var "BOUND_VARIABLE_10215" $$unsorted)) % 220.33/220.67 (define @t367 () (@var "BOUND_VARIABLE_10213" $$unsorted)) % 220.33/220.67 (define @t368 () (tptp.segmentP (tptp.app (tptp.app @t367 @t2) @t366) @t365)) % 220.33/220.67 (define @t369 () (not (tptp.ssList @t366))) % 220.33/220.67 (define @t370 () (not (tptp.ssList @t367))) % 220.33/220.67 (define @t371 () (not (tptp.segmentP @t2 @t365))) % 220.33/220.67 (define @t372 () (not (tptp.ssList @t365))) % 220.33/220.67 (define @t373 () (or @t372 @t371 @t370 @t369 @t368)) % 220.33/220.67 (define @t374 () (or @t143 @t373)) % 220.33/220.67 (define @t375 () (forall (@list @t2 @t365 @t367 @t366) @t374)) % 220.33/220.67 (define @t376 () (@list @t365 @t367 @t366)) % 220.33/220.67 (define @t377 () (forall @t376 @t374)) % 220.33/220.67 (define @t378 () (forall @t376 @t373)) % 220.33/220.67 (define @t379 () (@var "BOUND_VARIABLE_10192" $$unsorted)) % 220.33/220.67 (define @t380 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 220.33/220.67 (define @t381 () (or @t143 @t378)) % 220.33/220.67 (define @t382 () (tptp.segmentP (tptp.app (tptp.app @t380 @t2) @t379) @t1)) % 220.33/220.67 (define @t383 () (not (tptp.ssList @t379))) % 220.33/220.67 (define @t384 () (not (tptp.ssList @t380))) % 220.33/220.67 (define @t385 () (not @t24)) % 220.33/220.67 (define @t386 () (or @t154 @t385 @t384 @t383 @t382)) % 220.33/220.67 (define @t387 () (@list @t1 @t380 @t379)) % 220.33/220.67 (define @t388 () (forall @t387 @t386)) % 220.33/220.67 (define @t389 () (or @t384 @t383 @t382)) % 220.33/220.67 (define @t390 () (or @t154 @t385 @t389)) % 220.33/220.67 (define @t391 () (forall @t387 @t390)) % 220.33/220.67 (define @t392 () (@list @t380 @t379)) % 220.33/220.67 (define @t393 () (forall @t392 @t390)) % 220.33/220.67 (define @t394 () (forall @t392 @t389)) % 220.33/220.67 (define @t395 () (@var "BOUND_VARIABLE_10173" $$unsorted)) % 220.33/220.67 (define @t396 () (or @t154 @t385 @t394)) % 220.33/220.67 (define @t397 () (tptp.segmentP (tptp.app @t73 @t395) @t1)) % 220.33/220.67 (define @t398 () (not (tptp.ssList @t395))) % 220.33/220.67 (define @t399 () (or @t236 @t398 @t397)) % 220.33/220.67 (define @t400 () (@list @t12 @t395)) % 220.33/220.67 (define @t401 () (forall @t400 @t399)) % 220.33/220.67 (define @t402 () (or @t154 @t385 @t401)) % 220.33/220.67 (define @t403 () (or @t385 @t401)) % 220.33/220.67 (define @t404 () (or @t398 @t397)) % 220.33/220.67 (define @t405 () (or @t236 @t404)) % 220.33/220.67 (define @t406 () (forall @t400 @t405)) % 220.33/220.67 (define @t407 () (@list @t395)) % 220.33/220.67 (define @t408 () (forall @t407 @t405)) % 220.33/220.67 (define @t409 () (forall @t407 @t404)) % 220.33/220.67 (define @t410 () (or @t236 @t409)) % 220.33/220.67 (define @t411 () (or @t251 @t76)) % 220.33/220.67 (define @t412 () (forall @t14 @t411)) % 220.33/220.67 (define @t413 () (or @t236 @t412)) % 220.33/220.67 (define @t414 () (forall @t16 @t413)) % 220.33/220.67 (define @t415 () (or @t385 @t414)) % 220.33/220.67 (define @t416 () (or @t385 @t413)) % 220.33/220.67 (define @t417 () (or @t236 @t385 @t412)) % 220.33/220.67 (define @t418 () (or @t385 @t412)) % 220.33/220.67 (define @t419 () (or @t385 @t411)) % 220.33/220.67 (define @t420 () (or @t251 @t385 @t76)) % 220.33/220.67 (define @t421 () (tptp.segmentP @t295 @t295)) % 220.33/220.67 (define @t422 () (or @t321 @t421)) % 220.33/220.67 (define @t423 () (@var "BOUND_VARIABLE_9133" $$unsorted)) % 220.33/220.67 (define @t424 () (tptp.ssList (tptp.cons @t423 @t2))) % 220.33/220.67 (define @t425 () (not (tptp.ssItem @t423))) % 220.33/220.67 (define @t426 () (or @t425 @t424)) % 220.33/220.67 (define @t427 () (or @t143 @t426)) % 220.33/220.67 (define @t428 () (forall (@list @t2 @t423) @t427)) % 220.33/220.67 (define @t429 () (@list @t423)) % 220.33/220.67 (define @t430 () (forall @t429 @t427)) % 220.33/220.67 (define @t431 () (forall @t429 @t426)) % 220.33/220.67 (define @t432 () (or @t143 @t431)) % 220.33/220.67 (define @t433 () (forall @t7 (or @t346 @t41))) % 220.33/220.67 (define @t434 () (tptp.ssList @t323)) % 220.33/220.67 (define @t435 () (or @t179 @t328 @t434)) % 220.33/220.67 (define @t436 () (tptp.app @t319 @t323)) % 220.33/220.67 (define @t437 () (tptp.segmentP @t436 @t295)) % 220.33/220.67 (define @t438 () (not @t434)) % 220.33/220.67 (define @t439 () (not @t421)) % 220.33/220.67 (define @t440 () (or @t321 @t321 @t439 @t179 @t438 @t437)) % 220.33/220.67 (define @t441 () (@list false false false false false)) % 220.33/220.67 (define @t442 () (tptp.segmentP @t191 @t295)) % 220.33/220.67 (define @t443 () (tptp.segmentP (tptp.app @t324 tptp.nil) @t295)) % 220.33/220.67 (define @t444 () (or @t321 @t321 @t439 @t438 @t179 @t443)) % 220.33/220.67 (define @t445 () (tptp.segmentP @t174 @t295)) % 220.33/220.67 (define @t446 () (not @t442)) % 220.33/220.67 (define @t447 () (not @t445)) % 220.33/220.67 (define @t448 () (not @t357)) % 220.33/220.67 (define @t449 () (or @t321 @t448 @t447 @t446)) % 220.33/220.67 (define @t450 () (not @t363)) % 220.33/220.67 (define @t451 () (@list true false)) % 220.33/220.67 (define @t452 () (tptp.neq @t191 tptp.nil)) % 220.33/220.67 (define @t453 () (or @t201 @t179 (= @t452 @t192))) % 220.33/220.67 (define @t454 () (= tptp.nil @t191)) % 220.33/220.67 (define @t455 () (not @t454)) % 220.33/220.67 (define @t456 () (= @t455 @t452)) % 220.33/220.67 (define @t457 () (or @t201 @t179 @t456)) % 220.33/220.67 (define @t458 () (tptp.tl @t308)) % 220.33/220.67 (define @t459 () (@var "BOUND_VARIABLE_10672" $$unsorted)) % 220.33/220.67 (define @t460 () (= (tptp.tl (tptp.app @t2 @t459)) (tptp.app @t55 @t459))) % 220.33/220.67 (define @t461 () (not (tptp.ssList @t459))) % 220.33/220.67 (define @t462 () (or @t143 @t157 @t461 @t460)) % 220.33/220.67 (define @t463 () (or @t461 @t460)) % 220.33/220.67 (define @t464 () (or @t143 @t157 @t463)) % 220.33/220.67 (define @t465 () (@list @t2 @t459)) % 220.33/220.67 (define @t466 () (forall @t465 @t464)) % 220.33/220.67 (define @t467 () (@list @t459)) % 220.33/220.67 (define @t468 () (forall @t467 @t464)) % 220.33/220.67 (define @t469 () (forall @t467 @t463)) % 220.33/220.67 (define @t470 () (or @t143 @t157 @t469)) % 220.33/220.67 (define @t471 () (or @t154 @t102)) % 220.33/220.67 (define @t472 () (forall @t7 @t471)) % 220.33/220.67 (define @t473 () (or @t143 @t157 @t472)) % 220.33/220.67 (define @t474 () (or @t157 @t472)) % 220.33/220.67 (define @t475 () (or @t157 @t471)) % 220.33/220.67 (define @t476 () (or @t154 @t157 @t102)) % 220.33/220.67 (define @t477 () (=> @t158 @t102)) % 220.33/220.67 (define @t478 () (tptp.app @t295 tptp.nil)) % 220.33/220.67 (define @t479 () (or @t181 @t175 @t179 (= @t458 @t478))) % 220.33/220.67 (define @t480 () (forall @t465 @t462)) % 220.33/220.67 (define @t481 () (= @t478 @t458)) % 220.33/220.67 (define @t482 () (or @t181 @t185 @t179 @t481)) % 220.33/220.67 (define @t483 () (= @t174 @t323)) % 220.33/220.67 (define @t484 () (not @t483)) % 220.33/220.67 (define @t485 () (or @t328 @t484)) % 220.33/220.67 (define @t486 () (not @t485)) % 220.33/220.67 (define @t487 () (not (= @t323 @t174))) % 220.33/220.67 (define @t488 () (or @t328 @t487)) % 220.33/220.67 (define @t489 () (forall @t7 (or @t346 (not (= @t18 @t174))))) % 220.33/220.67 (define @t490 () (not @t489)) % 220.33/220.67 (define @t491 () (@list true)) % 220.33/220.67 (define @t492 () (@quantifiers_skolemize @t489 0)) % 220.33/220.67 (define @t493 () (tptp.cons @t492 tptp.nil)) % 220.33/220.67 (define @t494 () (= @t174 @t493)) % 220.33/220.67 (define @t495 () (not @t494)) % 220.33/220.67 (define @t496 () (tptp.ssItem @t492)) % 220.33/220.67 (define @t497 () (not @t496)) % 220.33/220.67 (define @t498 () (or @t497 @t495)) % 220.33/220.67 (define @t499 () (not @t498)) % 220.33/220.67 (define @t500 () (not (= @t493 @t174))) % 220.33/220.67 (define @t501 () (or @t497 @t500)) % 220.33/220.67 (define @t502 () (not @t501)) % 220.33/220.67 (define @t503 () (tptp.app @t493 tptp.nil)) % 220.33/220.67 (define @t504 () (= @t174 @t503)) % 220.33/220.67 (define @t505 () (and @t309 @t494)) % 220.33/220.67 (define @t506 () (not (= @t503 @t174))) % 220.33/220.67 (define @t507 () (tptp.app tptp.nil @t493)) % 220.33/220.67 (define @t508 () (or @t497 @t179 (= @t507 @t191) @t506)) % 220.33/220.67 (define @t509 () (not @t504)) % 220.33/220.67 (define @t510 () (= @t191 @t507)) % 220.33/220.67 (define @t511 () (or @t497 @t179 @t510 @t509)) % 220.33/220.67 (define @t512 () (tptp.segmentP @t174 @t174)) % 220.33/220.67 (define @t513 () (or @t181 @t512)) % 220.33/220.67 (define @t514 () (not @t510)) % 220.33/220.67 (define @t515 () (tptp.segmentP @t174 @t191)) % 220.33/220.67 (define @t516 () (not @t512)) % 220.33/220.67 (define @t517 () (not @t289)) % 220.33/220.67 (define @t518 () (not @t515)) % 220.33/220.67 (define @t519 () (= false true)) % 220.33/220.67 (define @t520 () (and @t512 @t289 @t494 @t510 @t518)) % 220.33/220.67 (define @t521 () (tptp.segmentP @t191 @t191)) % 220.33/220.67 (define @t522 () (or @t201 @t521)) % 220.33/220.67 (define @t523 () (not @t521)) % 220.33/220.67 (define @t524 () (not @t452)) % 220.33/220.67 (define @t525 () (or @t201 @t524 @t518 @t523)) % 220.33/220.67 (define @t526 () (not @t456)) % 220.33/220.67 (define @t527 () (not @t333)) % 220.33/220.67 (define @t528 () (not @t320)) % 220.33/220.67 (define @t529 () (not @t309)) % 220.33/220.67 (define @t530 () (not @t306)) % 220.33/220.67 (define @t531 () (not @t298)) % 220.33/220.67 (define @t532 () (not @t286)) % 220.33/220.67 (define @t533 () (= @t305 @t308)) % 220.33/220.67 (define @t534 () (tptp.cons @t296 @t319)) % 220.33/220.67 (define @t535 () (and @t286 @t454 @t306 @t533 @t309 @t186)) % 220.33/220.67 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 220.33/220.67 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 220.33/220.67 (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))))))))))) % 220.33/220.67 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 220.33/220.67 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 220.33/220.67 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 220.33/220.67 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 220.33/220.67 (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))))))))))))))))) % 220.33/220.67 (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)))))))))))))))) % 220.33/220.67 (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))))))))))))))))) % 220.33/220.67 (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))))))))))))))) % 220.33/220.67 (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))))))))))))))) % 220.33/220.67 (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)))))))))))))))) % 220.33/220.67 (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))))))))))))) % 220.33/220.67 (assume @p15 @t39) % 220.33/220.67 (assume @p16 @t44) % 220.33/220.67 (assume @p17 @t45) % 220.33/220.67 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 220.33/220.67 (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))))))))))) % 220.33/220.67 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 220.33/220.67 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 220.33/220.67 (assume @p22 @t54) % 220.33/220.67 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 220.33/220.67 (assume @p24 @t59) % 220.33/220.67 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 220.33/220.67 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t60)))))) % 220.33/220.67 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t61) (tptp.app @t47 @t2))))))))) % 220.33/220.67 (assume @p28 @t64) % 220.33/220.67 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 @t65) @t3)))))) % 220.33/220.67 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 @t26) (tptp.leq @t2 @t12))))))))) % 220.33/220.67 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 220.33/220.67 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t65)))))) % 220.33/220.67 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not @t68))))))) % 220.33/220.67 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t35) @t70)))))))) % 220.33/220.67 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 @t68)))))) % 220.33/220.67 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t72))))))))) % 220.33/220.67 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t72))))))))) % 220.33/220.67 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 220.33/220.67 (assume @p39 (not (tptp.singletonP tptp.nil))) % 220.33/220.67 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 220.33/220.67 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 220.33/220.67 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 220.33/220.67 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 220.33/220.67 (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)))))))))))) % 220.33/220.67 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 220.33/220.67 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 220.33/220.67 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 220.33/220.67 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 220.33/220.67 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 220.33/220.67 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t73 @t1))))))))) % 220.33/220.67 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 220.33/220.67 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 220.33/220.67 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 220.33/220.67 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 220.33/220.67 (assume @p55 @t75) % 220.33/220.67 (assume @p56 @t84) % 220.33/220.67 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 220.33/220.67 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 220.33/220.67 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t85)))) % 220.33/220.67 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 220.33/220.67 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t85)))) % 220.33/220.67 (assume @p62 (tptp.totalorderP tptp.nil)) % 220.33/220.67 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t85)))) % 220.33/220.67 (assume @p64 (tptp.strictorderP tptp.nil)) % 220.33/220.67 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t85)))) % 220.33/220.67 (assume @p66 (tptp.totalorderedP tptp.nil)) % 220.33/220.67 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t89) (or @t87 (and @t88 (tptp.totalorderedP @t1) (tptp.leq @t2 @t86))))))))) % 220.33/220.67 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t85)))) % 220.33/220.67 (assume @p69 (tptp.strictorderedP tptp.nil)) % 220.33/220.67 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t89) (or @t87 (and @t88 (tptp.strictorderedP @t1) (tptp.lt @t2 @t86))))))))) % 220.33/220.67 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t85)))) % 220.33/220.67 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 220.33/220.67 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t85)))) % 220.33/220.67 (assume @p74 (tptp.equalelemsP tptp.nil)) % 220.33/220.67 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 220.33/220.67 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 220.33/220.67 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t88 @t51 (= @t86 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 220.33/220.67 (assume @p78 @t93) % 220.33/220.67 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t94)))))))) % 220.33/220.67 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t61) @t94)))))))) % 220.33/220.67 (assume @p81 @t98) % 220.33/220.67 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 220.33/220.67 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t87 @t48))))))) % 220.33/220.67 (assume @p84 @t101) % 220.33/220.67 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 220.33/220.67 (assume @p86 @t107) % 220.33/220.67 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 (tptp.geq @t1 @t2)) @t3)))))) % 220.33/220.67 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 220.33/220.67 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 220.33/220.67 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 220.33/220.67 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 @t35) @t70)))))))) % 220.33/220.67 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (or @t3 @t69))))))) % 220.33/220.67 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 (and @t4 @t66))))))) % 220.33/220.67 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (not (tptp.gt @t1 @t2)))))))) % 220.33/220.67 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 220.33/220.67 (assume @p96 @t139) % 220.33/220.67 (assume @p97 true) % 220.33/220.67 (step @p98 :rule aci_norm :args ((= @t146 @t144))) % 220.33/220.67 (step @p99 :rule cong :premises (@p98) :args (@t148)) % 220.33/220.67 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t150) @t148))) % 220.33/220.67 (step @p101 :rule alpha_equiv :args (@t151 (@list @t140) @t152)) % 220.33/220.67 (step @p102 :rule refl :args (@t143)) % 220.33/220.67 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t153)) % 220.33/220.67 (step @p104 :rule quant-miniscope-or :args ((= @t150 @t153))) % 220.33/220.67 (step @p105 :rule trans :premises (@p104 @p103)) % 220.33/220.67 (step @p106 :rule symm :premises (@p105)) % 220.33/220.67 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t143 @t155)))) % 220.33/220.67 (step @p108 :rule trans :premises (@p107 @p100)) % 220.33/220.67 (step @p109 :rule trans :premises (@p108 @p99)) % 220.33/220.67 (step @p110 :rule bool-impl-elim :args (@t17 @t155)) % 220.33/220.67 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t155)))) % 220.33/220.67 (step @p112 :rule trans :premises (@p111 @p109)) % 220.33/220.67 (step @p113 :rule bool-impl-elim :args (@t21 @t5)) % 220.33/220.67 (step @p114 :rule cong :premises (@p113) :args (@t37)) % 220.33/220.67 (step @p115 :rule refl :args (@t17)) % 220.33/220.67 (step @p116 :rule cong :premises (@p115 @p114) :args (@t38)) % 220.33/220.67 (step @p117 :rule cong :premises (@p116) :args (@t39)) % 220.33/220.67 (step @p118 :rule trans :premises (@p117 @p112)) % 220.33/220.67 (step @p119 :rule eq_resolve :premises (@p15 @p118)) % 220.33/220.67 (step @p120 :rule eq-symm :args (@t174 tptp.nil)) % 220.33/220.67 (step @p121 :rule cong :premises (@p120) :args (@t176)) % 220.33/220.67 (step @p122 :rule refl :args (@t177)) % 220.33/220.67 (step @p123 :rule cong :premises (@p122 @p121) :args (@t178)) % 220.33/220.67 (step @p124 :rule refl :args (@t179)) % 220.33/220.67 (step @p125 :rule refl :args (@t181)) % 220.33/220.67 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t182)) % 220.33/220.67 (step @p127 :rule refl :args (@t183)) % 220.33/220.67 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t183 @t182))) % 220.33/220.67 (assume-push @p1001 @t183) % 220.33/220.67 (step @p130 :rule instantiate :premises (@p119) :args (@t184)) % 220.33/220.67 (step-pop @p1002 :rule scope :premises (@p130)) % 220.33/220.67 (step @p131 :rule process_scope :premises (@p1002) :args (@t182)) % 220.33/220.67 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 220.33/220.67 (step @p134 :rule implies_elim :premises (@p133)) % 220.33/220.67 (step @p135 :rule chain_m_resolution :premises (@p134 @p119) :args (@t188 @t189 @t190)) % 220.33/220.67 (step @p136 :rule refl :args (@t185)) % 220.33/220.67 (step @p137 :rule eq-symm :args (@t191 tptp.nil)) % 220.33/220.67 (step @p138 :rule cong :premises (@p137) :args (@t192)) % 220.33/220.67 (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t193)) % 220.33/220.67 (step @p140 :rule refl :args (@t194)) % 220.33/220.67 (step @p141 :rule eq-symm :args (@t191 @t161)) % 220.33/220.67 (step @p142 :rule refl :args (@t163)) % 220.33/220.67 (step @p143 :rule refl :args (@t164)) % 220.33/220.67 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t195)) % 220.33/220.67 (step @p145 :rule cong :premises (@p144) :args (@t196)) % 220.33/220.67 (step @p146 :rule cong :premises (@p145) :args (@t197)) % 220.33/220.67 (step @p147 :rule refl :args (@t198)) % 220.33/220.67 (step @p148 :rule refl :args (@t199)) % 220.33/220.67 (step @p149 :rule refl :args (@t201)) % 220.33/220.67 (step @p150 :rule nary_cong :premises (@p149 @p125 @p148 @p147 @p146 @p139) :args (@t202)) % 220.33/220.67 (step @p151 :rule cong :premises (@p150) :args (@t203)) % 220.33/220.67 ; WARNING: add trust step for TRUST % 220.33/220.67 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 220.33/220.67 (step @p152 :rule trust :premises () :args ((= (not @t173) @t203))) % 220.33/220.67 (step @p153 :rule eq-symm :args (@t156 tptp.nil)) % 220.33/220.67 (step @p154 :rule refl :args (@t158)) % 220.33/220.67 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t204)) % 220.33/220.67 (step @p156 :rule eq-symm :args (@t156 @t160)) % 220.33/220.67 (step @p157 :rule cong :premises (@p156) :args (@t205)) % 220.33/220.67 (step @p158 :rule refl :args (@t162)) % 220.33/220.67 (step @p159 :rule nary_cong :premises (@p143 @p142 @p158 @p157) :args (@t206)) % 220.33/220.67 (step @p160 :rule cong :premises (@p159) :args (@t207)) % 220.33/220.67 (step @p161 :rule cong :premises (@p160) :args (@t208)) % 220.33/220.67 (step @p162 :rule refl :args (@t169)) % 220.33/220.67 (step @p163 :rule refl :args (@t170)) % 220.33/220.67 (step @p164 :rule refl :args (@t171)) % 220.33/220.67 (step @p165 :rule refl :args (@t143)) % 220.33/220.67 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163 @p162 @p161 @p155) :args (@t209)) % 220.33/220.67 (step @p167 :rule aci_norm :args ((= @t211 @t209))) % 220.33/220.67 (step @p168 :rule trans :premises (@p167 @p166)) % 220.33/220.67 (step @p169 :rule cong :premises (@p168) :args (@t212)) % 220.33/220.67 (step @p170 :rule quant-merge-prenex :args ((= (forall @t9 @t214) @t212))) % 220.33/220.67 (step @p171 :rule alpha_equiv :args (@t215 (@list @t156) @t152)) % 220.33/220.67 (step @p172 :rule nary_cong :premises (@p102 @p171) :args (@t216)) % 220.33/220.67 (step @p173 :rule quant-miniscope-or :args ((= @t214 @t216))) % 220.33/220.67 (step @p174 :rule trans :premises (@p173 @p172)) % 220.33/220.67 (step @p175 :rule symm :premises (@p174)) % 220.33/220.67 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 @t225))) % 220.33/220.67 (step @p177 :rule trans :premises (@p176 @p170)) % 220.33/220.67 (step @p178 :rule trans :premises (@p177 @p169)) % 220.33/220.67 (step @p179 :rule aci_norm :args ((= (or @t143 @t225) @t225))) % 220.33/220.67 (step @p180 :rule bool-impl-elim :args (@t17 @t225)) % 220.33/220.67 (step @p181 :rule trans :premises (@p180 @p179)) % 220.33/220.67 (step @p182 :rule cong :premises (@p181) :args ((forall @t9 (=> @t17 @t225)))) % 220.33/220.67 (step @p183 :rule trans :premises (@p182 @p178)) % 220.33/220.67 (step @p184 :rule quant-miniscope-or :args ((= (forall @t7 @t226) @t225))) % 220.33/220.67 (step @p185 :rule aci_norm :args ((= @t227 @t226))) % 220.33/220.67 (step @p186 :rule cong :premises (@p185) :args ((forall @t7 @t227))) % 220.33/220.67 (step @p187 :rule trans :premises (@p186 @p184)) % 220.33/220.67 (step @p188 :rule aci_norm :args ((= (or @t154 @t228) @t227))) % 220.33/220.67 (step @p189 :rule bool-impl-elim :args (@t21 @t228)) % 220.33/220.67 (step @p190 :rule trans :premises (@p189 @p188)) % 220.33/220.67 (step @p191 :rule cong :premises (@p190) :args ((forall @t7 (=> @t21 @t228)))) % 220.33/220.67 (step @p192 :rule trans :premises (@p191 @p187)) % 220.33/220.67 (step @p193 :rule aci_norm :args ((= (or @t127 @t223 @t154 @t229) @t228))) % 220.33/220.67 (step @p194 :rule aci_norm :args ((= (or @t143 false @t220 @t218) @t229))) % 220.33/220.67 (step @p195 :rule refl :args (@t218)) % 220.33/220.67 (step @p196 :rule refl :args (@t220)) % 220.33/220.67 (step @p197 :rule evaluate :args ((not true))) % 220.33/220.67 (step @p198 :rule eq-refl :args (@t2)) % 220.33/220.67 (step @p199 :rule cong :premises (@p198) :args (@t230)) % 220.33/220.67 (step @p200 :rule trans :premises (@p199 @p197)) % 220.33/220.67 (step @p201 :rule nary_cong :premises (@p165 @p200 @p196 @p195) :args (@t231)) % 220.33/220.67 (step @p202 :rule trans :premises (@p201 @p194)) % 220.33/220.67 (step @p203 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t94) @t236 @t128 @t235 @t233)) @t231))) % 220.33/220.67 (step @p204 :rule refl :args (@t233)) % 220.33/220.67 (step @p205 :rule refl :args (@t235)) % 220.33/220.67 (step @p206 :rule refl :args (@t128)) % 220.33/220.67 (step @p207 :rule refl :args (@t236)) % 220.33/220.67 (step @p208 :rule eq-symm :args (@t2 @t12)) % 220.33/220.67 (step @p209 :rule cong :premises (@p208) :args (@t128)) % 220.33/220.67 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206 @p205 @p204) :args (@t237)) % 220.33/220.67 (step @p211 :rule aci_norm :args ((= @t238 @t237))) % 220.33/220.67 (step @p212 :rule trans :premises (@p211 @p210)) % 220.33/220.67 (step @p213 :rule cong :premises (@p212) :args (@t239)) % 220.33/220.67 (step @p214 :rule trans :premises (@p213 @p203)) % 220.33/220.67 (step @p215 :rule trans :premises (@p214 @p202)) % 220.33/220.67 (step @p216 :rule refl :args (@t154)) % 220.33/220.67 (step @p217 :rule refl :args (@t223)) % 220.33/220.67 (step @p218 :rule refl :args (@t127)) % 220.33/220.67 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216 @p215) :args (@t240)) % 220.33/220.67 (step @p220 :rule trans :premises (@p219 @p193)) % 220.33/220.67 (step @p221 :rule quant-miniscope-or :args ((= (forall @t16 @t241) @t240))) % 220.33/220.67 (step @p222 :rule aci_norm :args ((= @t242 @t241))) % 220.33/220.67 (step @p223 :rule cong :premises (@p222) :args ((forall @t16 @t242))) % 220.33/220.67 (step @p224 :rule trans :premises (@p223 @p221)) % 220.33/220.67 (step @p225 :rule trans :premises (@p224 @p220)) % 220.33/220.67 (step @p226 :rule aci_norm :args ((= (or @t236 @t243) @t242))) % 220.33/220.67 (step @p227 :rule bool-impl-elim :args (@t15 @t243)) % 220.33/220.67 (step @p228 :rule trans :premises (@p227 @p226)) % 220.33/220.67 (step @p229 :rule cong :premises (@p228) :args ((forall @t16 (=> @t15 @t243)))) % 220.33/220.67 (step @p230 :rule trans :premises (@p229 @p225)) % 220.33/220.67 (step @p231 :rule aci_norm :args ((= (or @t128 @t127 @t223 @t244) @t243))) % 220.33/220.67 (step @p232 :rule aci_norm :args ((= (or @t154 false @t235 @t233) @t244))) % 220.33/220.67 (step @p233 :rule refl :args (@t233)) % 220.33/220.67 (step @p234 :rule refl :args (@t235)) % 220.33/220.67 (step @p235 :rule eq-refl :args (@t1)) % 220.33/220.67 (step @p236 :rule cong :premises (@p235) :args (@t245)) % 220.33/220.67 (step @p237 :rule trans :premises (@p236 @p197)) % 220.33/220.67 (step @p238 :rule nary_cong :premises (@p216 @p237 @p234 @p233) :args (@t246)) % 220.33/220.67 (step @p239 :rule trans :premises (@p238 @p232)) % 220.33/220.67 (step @p240 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t251 @t129 @t250 @t247)) @t246))) % 220.33/220.67 (step @p241 :rule refl :args (@t247)) % 220.33/220.67 (step @p242 :rule refl :args (@t250)) % 220.33/220.67 (step @p243 :rule refl :args (@t129)) % 220.33/220.67 (step @p244 :rule refl :args (@t251)) % 220.33/220.67 (step @p245 :rule eq-symm :args (@t1 @t10)) % 220.33/220.67 (step @p246 :rule cong :premises (@p245) :args (@t129)) % 220.33/220.67 (step @p247 :rule nary_cong :premises (@p246 @p244 @p243 @p242 @p241) :args (@t252)) % 220.33/220.67 (step @p248 :rule aci_norm :args ((= @t253 @t252))) % 220.33/220.67 (step @p249 :rule trans :premises (@p248 @p247)) % 220.33/220.67 (step @p250 :rule cong :premises (@p249) :args (@t254)) % 220.33/220.67 (step @p251 :rule trans :premises (@p250 @p240)) % 220.33/220.67 (step @p252 :rule trans :premises (@p251 @p239)) % 220.33/220.67 (step @p253 :rule refl :args (@t128)) % 220.33/220.67 (step @p254 :rule nary_cong :premises (@p253 @p218 @p217 @p252) :args (@t255)) % 220.33/220.67 (step @p255 :rule trans :premises (@p254 @p231)) % 220.33/220.67 (step @p256 :rule quant-miniscope-or :args ((= (forall @t14 @t256) @t255))) % 220.33/220.67 (step @p257 :rule aci_norm :args ((= @t257 @t256))) % 220.33/220.67 (step @p258 :rule cong :premises (@p257) :args ((forall @t14 @t257))) % 220.33/220.67 (step @p259 :rule trans :premises (@p258 @p256)) % 220.33/220.67 (step @p260 :rule trans :premises (@p259 @p255)) % 220.33/220.67 (step @p261 :rule aci_norm :args ((= (or @t251 @t258) @t257))) % 220.33/220.67 (step @p262 :rule bool-impl-elim :args (@t13 @t258)) % 220.33/220.67 (step @p263 :rule trans :premises (@p262 @p261)) % 220.33/220.67 (step @p264 :rule cong :premises (@p263) :args ((forall @t14 (=> @t13 @t258)))) % 220.33/220.67 (step @p265 :rule trans :premises (@p264 @p260)) % 220.33/220.67 (step @p266 :rule eq-symm :args (tptp.nil @t10)) % 220.33/220.67 (step @p267 :rule eq-symm :args (tptp.nil @t12)) % 220.33/220.67 (step @p268 :rule cong :premises (@p267) :args (@t108)) % 220.33/220.67 (step @p269 :rule nary_cong :premises (@p268 @p266) :args (@t109)) % 220.33/220.67 (step @p270 :rule aci_norm :args ((= @t260 @t249))) % 220.33/220.67 (step @p271 :rule cong :premises (@p270) :args (@t261)) % 220.33/220.67 (step @p272 :rule quant-merge-prenex :args ((= (forall @t31 @t263) @t261))) % 220.33/220.67 (step @p273 :rule alpha_equiv :args (@t264 (@list @t159) (@list @t110))) % 220.33/220.67 (step @p274 :rule refl :args (@t164)) % 220.33/220.67 (step @p275 :rule nary_cong :premises (@p274 @p273) :args (@t265)) % 220.33/220.67 (step @p276 :rule quant-miniscope-or :args ((= @t263 @t265))) % 220.33/220.67 (step @p277 :rule trans :premises (@p276 @p275)) % 220.33/220.67 (step @p278 :rule symm :premises (@p277)) % 220.33/220.67 (step @p279 :rule cong :premises (@p278) :args ((forall @t31 (or @t164 @t270)))) % 220.33/220.67 (step @p280 :rule trans :premises (@p279 @p272)) % 220.33/220.67 (step @p281 :rule trans :premises (@p280 @p271)) % 220.33/220.67 (step @p282 :rule bool-double-not-elim :args (@t270)) % 220.33/220.67 (step @p283 :rule nary_cong :premises (@p274 @p282) :args ((or @t164 (not @t271)))) % 220.33/220.67 (step @p284 :rule bool-and-de-morgan :args (@t119 @t271 true)) % 220.33/220.67 (step @p285 :rule trans :premises (@p284 @p283)) % 220.33/220.67 (step @p286 :rule cong :premises (@p285) :args (@t273)) % 220.33/220.67 (step @p287 :rule trans :premises (@p286 @p281)) % 220.33/220.67 (step @p288 :rule cong :premises (@p287) :args (@t274)) % 220.33/220.67 (step @p289 :rule exists-elim :args ((= (exists @t31 @t272) @t274))) % 220.33/220.67 (step @p290 :rule trans :premises (@p289 @p288)) % 220.33/220.67 (step @p291 :rule refl :args (@t267)) % 220.33/220.67 (step @p292 :rule bool-double-not-elim :args (@t268)) % 220.33/220.67 (step @p293 :rule refl :args (@t269)) % 220.33/220.67 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291) :args (@t277)) % 220.33/220.67 (step @p295 :rule aci_norm :args ((= (or @t269 (or @t276 @t267)) @t277))) % 220.33/220.67 (step @p296 :rule trans :premises (@p295 @p294)) % 220.33/220.67 (step @p297 :rule bool-and-de-morgan :args (@t275 @t266 true)) % 220.33/220.67 (step @p298 :rule nary_cong :premises (@p293 @p297) :args ((or @t269 (not (and @t275 @t266))))) % 220.33/220.67 (step @p299 :rule bool-and-de-morgan :args (@t115 @t275 (and @t266))) % 220.33/220.67 (step @p300 :rule trans :premises (@p299 @p298)) % 220.33/220.67 (step @p301 :rule trans :premises (@p300 @p296)) % 220.33/220.67 (step @p302 :rule cong :premises (@p301) :args (@t279)) % 220.33/220.67 (step @p303 :rule cong :premises (@p302) :args (@t280)) % 220.33/220.67 (step @p304 :rule exists-elim :args ((= (exists @t117 @t278) @t280))) % 220.33/220.67 (step @p305 :rule trans :premises (@p304 @p303)) % 220.33/220.67 (step @p306 :rule eq-symm :args (@t112 @t10)) % 220.33/220.67 (step @p307 :rule eq-symm :args (@t113 @t12)) % 220.33/220.67 (step @p308 :rule cong :premises (@p307) :args (@t114)) % 220.33/220.67 (step @p309 :rule refl :args (@t115)) % 220.33/220.67 (step @p310 :rule nary_cong :premises (@p309 @p308 @p306) :args (@t116)) % 220.33/220.67 (step @p311 :rule cong :premises (@p310) :args (@t118)) % 220.33/220.67 (step @p312 :rule trans :premises (@p311 @p305)) % 220.33/220.67 (step @p313 :rule refl :args (@t119)) % 220.33/220.67 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t120)) % 220.33/220.67 (step @p315 :rule cong :premises (@p314) :args (@t121)) % 220.33/220.67 (step @p316 :rule trans :premises (@p315 @p290)) % 220.33/220.67 (step @p317 :rule aci_norm :args ((= (or @t168 (or @t167 (or @t221 @t166))) @t222))) % 220.33/220.67 (step @p318 :rule bool-and-de-morgan :args (@t123 @t122 true)) % 220.33/220.67 (step @p319 :rule refl :args (@t167)) % 220.33/220.67 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t167 (not (and @t123 @t122))))) % 220.33/220.67 (step @p321 :rule bool-and-de-morgan :args (@t124 @t123 (and @t122))) % 220.33/220.67 (step @p322 :rule trans :premises (@p321 @p320)) % 220.33/220.67 (step @p323 :rule refl :args (@t168)) % 220.33/220.67 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t168 (not (and @t124 @t123 @t122))))) % 220.33/220.67 (step @p325 :rule bool-and-de-morgan :args (@t32 @t124 (and @t123 @t122))) % 220.33/220.67 (step @p326 :rule trans :premises (@p325 @p324)) % 220.33/220.67 (step @p327 :rule trans :premises (@p326 @p317)) % 220.33/220.67 (step @p328 :rule cong :premises (@p327) :args (@t281)) % 220.33/220.67 (step @p329 :rule cong :premises (@p328) :args (@t282)) % 220.33/220.67 (step @p330 :rule exists-elim :args ((= @t126 @t282))) % 220.33/220.67 (step @p331 :rule trans :premises (@p330 @p329)) % 220.33/220.67 (step @p332 :rule refl :args (@t129)) % 220.33/220.67 (step @p333 :rule nary_cong :premises (@p332 @p253 @p218 @p331 @p316 @p269) :args (@t130)) % 220.33/220.67 (step @p334 :rule refl :args (@t13)) % 220.33/220.67 (step @p335 :rule cong :premises (@p334 @p333) :args (@t131)) % 220.33/220.67 (step @p336 :rule cong :premises (@p335) :args (@t132)) % 220.33/220.67 (step @p337 :rule trans :premises (@p336 @p265)) % 220.33/220.67 (step @p338 :rule refl :args (@t15)) % 220.33/220.67 (step @p339 :rule cong :premises (@p338 @p337) :args (@t133)) % 220.33/220.67 (step @p340 :rule cong :premises (@p339) :args (@t134)) % 220.33/220.67 (step @p341 :rule trans :premises (@p340 @p230)) % 220.33/220.67 (step @p342 :rule refl :args (@t21)) % 220.33/220.67 (step @p343 :rule cong :premises (@p342 @p341) :args (@t135)) % 220.33/220.67 (step @p344 :rule cong :premises (@p343) :args (@t136)) % 220.33/220.67 (step @p345 :rule trans :premises (@p344 @p192)) % 220.33/220.67 (step @p346 :rule cong :premises (@p115 @p345) :args (@t137)) % 220.33/220.67 (step @p347 :rule cong :premises (@p346) :args (@t138)) % 220.33/220.67 (step @p348 :rule trans :premises (@p347 @p183)) % 220.33/220.67 (step @p349 :rule cong :premises (@p348) :args (@t139)) % 220.33/220.67 (step @p350 :rule trans :premises (@p349 @p152 @p151)) % 220.33/220.67 (step @p351 :rule eq_resolve :premises (@p96 @p350)) % 220.33/220.67 (step @p352 :rule not_or_elim :premises (@p351) :args (1)) % 220.33/220.67 (step @p353 :rule not_not_elim :premises (@p352)) % 220.33/220.67 (step @p354 :rule cnf_or_pos :args (@t188)) % 220.33/220.67 (step @p355 :rule reordering :premises (@p354) :args ((or @t181 @t179 @t187 (not @t188)))) % 220.33/220.67 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p17 @p135) :args (@t187 @t283 (@list @t180 @t45 @t188))) % 220.33/220.67 (step @p357 :rule not_or_elim :premises (@p351) 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(@t498 1)) % 220.33/220.68 (step @p825 :rule eq_resolve :premises (@p824 @p823)) % 220.33/220.68 (step @p826 :rule reordering :premises (@p825) :args ((or @t494 @t498))) % 220.33/220.68 (assume-push @p1021 @t309) % 220.33/220.68 (assume-push @p1022 @t494) % 220.33/220.68 (assume-push @p1023 @t494) % 220.33/220.68 (assume-push @p1024 @t309) % 220.33/220.68 (step @p831 :rule cong :premises (@p1022 @p684) :args (@t308)) % 220.33/220.68 (step @p832 :rule trans :premises (@p426 @p831)) % 220.33/220.68 (step-pop @p1025 :rule scope :premises (@p832)) % 220.33/220.68 (step-pop @p1026 :rule scope :premises (@p1025)) % 220.33/220.68 (step @p833 :rule process_scope :premises (@p1026) :args (@t504)) % 220.33/220.68 (step @p836 :rule and_intro :premises (@p1022 @p426)) % 220.33/220.68 (step @p837 :rule modus_ponens :premises (@p836 @p833)) % 220.33/220.68 (step-pop @p1027 :rule scope :premises (@p837)) % 220.33/220.68 (step-pop @p1028 :rule scope :premises (@p1027)) % 220.33/220.68 (step @p838 :rule process_scope :premises (@p1028) :args (@t504)) % 220.33/220.68 (step @p841 :rule implies_elim :premises (@p838)) % 220.33/220.68 (step @p842 :rule cnf_and_neg :args (@t505)) % 220.33/220.68 (step @p843 :rule resolution :premises (@p842 @p841) :args (true @t505)) % 220.33/220.68 (step @p844 :rule eq-symm :args (@t503 @t174)) % 220.33/220.68 (step @p845 :rule cong :premises (@p844) :args (@t506)) % 220.33/220.68 (step @p846 :rule eq-symm :args (@t507 @t191)) % 220.33/220.68 (step @p847 :rule nary_cong :premises (@p803 @p124 @p846 @p845) :args (@t508)) % 220.33/220.68 (step @p848 :rule cong :premises (@p469 @p847) :args ((=> @t330 @t508))) % 220.33/220.68 (assume-push @p1029 @t330) % 220.33/220.68 (step @p850 :rule instantiate :premises (@p462) :args ((@list @t492 tptp.nil))) % 220.33/220.68 (step-pop @p1030 :rule scope :premises (@p850)) % 220.33/220.68 (step @p851 :rule process_scope :premises (@p1030) :args (@t508)) % 220.33/220.68 (step @p853 :rule eq_resolve :premises (@p851 @p848)) % 220.33/220.68 (step @p854 :rule implies_elim :premises (@p853)) % 220.33/220.68 (step @p855 :rule chain_m_resolution :premises (@p854 @p462) :args (@t511 @t189 @t335)) % 220.33/220.68 (step @p856 :rule cnf_or_pos :args (@t511)) % 220.33/220.68 (step @p857 :rule reordering :premises (@p856) :args ((or @t179 @t497 @t510 @t509 (not @t511)))) % 220.33/220.68 (step @p858 :rule instantiate :premises (@p637) :args (@t288)) % 220.33/220.68 (step @p859 :rule cnf_or_pos :args (@t513)) % 220.33/220.68 (step @p860 :rule reordering :premises (@p859) :args ((or @t181 @t512 (not @t513)))) % 220.33/220.68 (step @p861 :rule chain_m_resolution :premises (@p860 @p353 @p858) :args (@t512 @t284 (@list @t180 @t513))) % 220.33/220.68 (step @p862 :rule refl :args (@t514)) % 220.33/220.68 (step @p863 :rule refl :args (@t495)) % 220.33/220.68 (step @p864 :rule bool-double-not-elim :args (@t515)) % 220.33/220.68 (step @p865 :rule refl :args (@t516)) % 220.33/220.68 (step @p866 :rule refl :args (@t517)) % 220.33/220.68 (step @p867 :rule nary_cong :premises (@p866 @p865 @p864 @p863 @p862) :args ((or @t517 @t516 (not @t518) @t495 @t514))) % 220.33/220.68 (assume-push @p1031 @t512) % 220.33/220.68 (assume-push @p1032 @t289) % 220.33/220.68 (assume-push @p1033 @t494) % 220.33/220.68 (assume-push @p1034 @t510) % 220.33/220.68 (assume-push @p1035 @t518) % 220.33/220.68 (step @p873 :rule evaluate :args (@t519)) % 220.33/220.68 (step @p874 :rule true_intro :premises (@p861)) % 220.33/220.68 (step @p875 :rule symm :premises (@p376)) % 220.33/220.68 (step @p876 :rule symm :premises (@p1033)) % 220.33/220.68 (step @p877 :rule cong :premises (@p684 @p876) :args (@t507)) % 220.33/220.68 (step @p878 :rule trans :premises (@p1034 @p877 @p875)) % 220.33/220.68 (step @p879 :rule refl :args (@t174)) % 220.33/220.68 (step @p880 :rule cong :premises (@p879 @p878) :args (@t515)) % 220.33/220.68 (step @p881 :rule false_intro :premises (@p1035)) % 220.33/220.68 (step @p882 :rule symm :premises (@p881)) % 220.33/220.68 (step @p883 :rule trans :premises (@p882 @p880 @p874)) % 220.33/220.68 (step @p884 false :rule eq_resolve :premises (@p883 @p873)) % 220.33/220.68 (step-pop @p1036 :rule scope :premises (@p884)) % 220.33/220.68 (step-pop @p1037 :rule scope :premises (@p1036)) % 220.33/220.68 (step-pop @p1038 :rule scope :premises (@p1037)) % 220.33/220.68 (step-pop @p1039 :rule scope :premises (@p1038)) % 220.33/220.68 (step-pop @p1040 :rule scope :premises (@p1039)) % 220.33/220.68 (step @p885 :rule process_scope :premises (@p1040) :args (false)) % 220.33/220.68 (assume-push @p1041 @t289) % 220.33/220.68 (assume-push @p1042 @t512) % 220.33/220.68 (assume-push @p1043 @t518) % 220.33/220.68 (assume-push @p1044 @t494) % 220.33/220.68 (assume-push @p1045 @t510) % 220.33/220.68 (step @p896 :rule and_intro :premises (@p861 @p376 @p1044 @p1045 @p1043)) % 220.33/220.68 (step-pop @p1046 :rule scope :premises (@p896)) % 220.33/220.68 (step-pop @p1047 :rule scope :premises (@p1046)) % 220.33/220.68 (step-pop @p1048 :rule scope :premises (@p1047)) % 220.33/220.68 (step-pop @p1049 :rule scope :premises (@p1048)) % 220.33/220.68 (step-pop @p1050 :rule scope :premises (@p1049)) % 220.33/220.68 (step @p897 :rule process_scope :premises (@p1050) :args (@t520)) % 220.33/220.68 (step @p903 :rule implies_elim :premises (@p897)) % 220.33/220.68 (step @p904 :rule resolution :premises (@p903 @p885) :args (true @t520)) % 220.33/220.68 (step @p905 :rule not_and :premises (@p904)) % 220.33/220.68 (step @p906 :rule eq_resolve :premises (@p905 @p867)) % 220.33/220.68 (step @p907 :rule reordering :premises (@p906) :args ((or @t516 @t515 @t517 @t495 @t514))) % 220.33/220.68 (step @p908 :rule chain_m_resolution :premises (@p907 @p861 @p376 @p857 @p855 @p17 @p843 @p426 @p826 @p821) :args ((or @t515 @t498) (@list false false false false false false false false false) (@list @t512 @t289 @t510 @t511 @t45 @t504 @t309 @t494 @t496))) % 220.33/220.68 (step @p909 :rule chain_m_resolution :premises (@p908 @p815) :args (@t515 @t491 (@list @t498))) % 220.33/220.68 (step @p910 :rule instantiate :premises (@p637) :args (@t304)) % 220.33/220.68 (step @p911 :rule cnf_or_pos :args (@t522)) % 220.33/220.68 (step @p912 :rule reordering :premises (@p911) :args ((or @t201 @t521 (not @t522)))) % 220.33/220.68 (step @p913 :rule chain_m_resolution :premises (@p912 @p419 @p910) :args (@t521 @t284 (@list @t200 @t522))) % 220.33/220.68 (step @p914 :rule cnf_or_pos :args (@t525)) % 220.33/220.68 (step @p915 :rule reordering :premises (@p914) :args ((or @t201 @t523 @t524 @t518 (not @t525)))) % 220.33/220.68 (step @p916 :rule chain_m_resolution :premises (@p915 @p419 @p913 @p909 @p716) :args (@t524 @t355 (@list @t200 @t521 @t515 @t525))) % 220.33/220.68 (step @p917 :rule bool-double-not-elim :args (@t454)) % 220.33/220.68 (step @p918 :rule refl :args (@t526)) % 220.33/220.68 (step @p919 :rule nary_cong :premises (@p918 @p917 @p700) :args ((or @t526 (not @t455) @t452))) % 220.33/220.68 (step @p920 :rule cnf_equiv_pos1 :args (@t456)) % 220.33/220.68 (step @p921 :rule eq_resolve :premises (@p920 @p919)) % 220.33/220.68 (step @p922 :rule reordering :premises (@p921) :args ((or @t454 @t452 @t526))) % 220.33/220.68 (step @p923 :rule chain_m_resolution :premises (@p922 @p916 @p715) :args (@t454 @t451 (@list @t452 @t456))) % 220.33/220.68 (step @p924 :rule refl :args (@t527)) % 220.33/220.68 (step @p925 :rule refl :args (@t528)) % 220.33/220.68 (step @p926 :rule refl :args (@t359)) % 220.33/220.68 (step @p927 :rule refl :args (@t529)) % 220.33/220.68 (step @p928 :rule refl :args (@t530)) % 220.33/220.68 (step @p929 :rule refl :args (@t531)) % 220.33/220.68 (step @p930 :rule refl :args (@t532)) % 220.33/220.68 (step @p931 :rule bool-double-not-elim :args (@t185)) % 220.33/220.68 (step @p932 :rule refl :args (@t455)) % 220.33/220.68 (step @p933 :rule nary_cong :premises (@p932 @p931 @p930 @p866 @p929 @p928 @p927 @p926 @p925 @p924) :args ((or @t455 (not @t186) @t532 @t517 @t531 @t530 @t529 @t359 @t528 @t527))) % 220.33/220.68 (assume-push @p1051 @t286) % 220.33/220.68 (assume-push @p1052 @t454) % 220.33/220.68 (assume-push @p1053 @t306) % 220.33/220.68 (assume-push @p1054 @t533) % 220.33/220.68 (assume-push @p1055 @t309) % 220.33/220.68 (assume-push @p1056 @t186) % 220.33/220.68 (step @p873 :rule evaluate :args (@t519)) % 220.33/220.68 (step @p940 :rule symm :premises (@p1052)) % 220.33/220.68 (step @p941 :rule symm :premises (@p422)) % 220.33/220.68 (step @p942 :rule chain_m_resolution :premises (@p425 @p353 @p423) :args (@t309 @t284 @t311)) % 220.33/220.68 (step @p943 :rule symm :premises (@p376)) % 220.33/220.68 (step @p944 :rule symm :premises (@p409)) % 220.33/220.68 (step @p945 :rule symm :premises (@p460)) % 220.33/220.68 (step @p946 :rule cong :premises (@p776 @p945) :args (@t534)) % 220.33/220.68 (step @p947 :rule trans :premises (@p699 @p460)) % 220.33/220.68 (step @p948 :rule cong :premises (@p776 @p947) :args (@t323)) % 220.33/220.68 (step @p949 :rule trans :premises (@p948 @p946 @p944)) % 220.33/220.68 (step @p950 :rule symm :premises (@p947)) % 220.33/220.68 (step @p951 :rule cong :premises (@p950 @p949) :args (@t436)) % 220.33/220.68 (step @p952 :rule cong :premises (@p460 @p672) :args (@t326)) % 220.33/220.68 (step @p953 :rule chain_m_resolution :premises (@p534 @p528 @p457 @p532 @p477) :args (@t333 @t355 @t356)) % 220.33/220.68 (step @p954 :rule symm :premises (@p422)) % 220.33/220.68 (step @p955 :rule trans :premises (@p954 @p953 @p952 @p951 @p943 @p942)) % 220.33/220.68 (step @p956 :rule symm :premises (@p955)) % 220.33/220.68 (step @p957 :rule trans :premises (@p426 @p956 @p941 @p940 @p372)) % 220.33/220.68 (step @p958 :rule symm :premises (@p957)) % 220.33/220.68 (step @p959 :rule trans :premises (@p372 @p958)) % 220.33/220.68 (step @p960 :rule true_intro :premises (@p959)) % 220.33/220.68 (step @p961 :rule false_intro :premises (@p361)) % 220.33/220.68 (step @p962 :rule symm :premises (@p961)) % 220.33/220.68 (step @p963 :rule trans :premises (@p962 @p960)) % 220.33/220.68 (step @p964 false :rule eq_resolve :premises (@p963 @p873)) % 220.33/220.68 (step-pop @p1057 :rule scope :premises (@p964)) % 220.33/220.68 (step-pop @p1058 :rule scope :premises (@p1057)) % 220.33/220.68 (step-pop @p1059 :rule scope :premises (@p1058)) % 220.33/220.68 (step-pop @p1060 :rule scope :premises (@p1059)) % 220.33/220.68 (step-pop @p1061 :rule scope :premises (@p1060)) % 220.33/220.68 (step-pop @p1062 :rule scope :premises (@p1061)) % 220.33/220.68 (step @p965 :rule process_scope :premises (@p1062) :args (false)) % 220.33/220.68 (assume-push @p1063 @t454) % 220.33/220.68 (assume-push @p1064 @t186) % 220.33/220.68 (assume-push @p1065 @t286) % 220.33/220.68 (assume-push @p1066 @t289) % 220.33/220.68 (assume-push @p1067 @t298) % 220.33/220.68 (assume-push @p1068 @t306) % 220.33/220.68 (assume-push @p1069 @t309) % 220.33/220.68 (assume-push @p1070 @t358) % 220.33/220.68 (assume-push @p1071 @t320) % 220.33/220.68 (assume-push @p1072 @t333) % 220.33/220.68 (step @p875 :rule symm :premises (@p376)) % 220.33/220.68 (step @p944 :rule symm :premises (@p409)) % 220.33/220.68 (step @p945 :rule symm :premises (@p460)) % 220.33/220.68 (step @p946 :rule cong :premises (@p776 @p945) :args (@t534)) % 220.33/220.68 (step @p947 :rule trans :premises (@p699 @p460)) % 220.33/220.68 (step @p948 :rule cong :premises (@p776 @p947) :args (@t323)) % 220.33/220.68 (step @p949 :rule trans :premises (@p948 @p946 @p944)) % 220.33/220.68 (step @p950 :rule symm :premises (@p947)) % 220.33/220.68 (step @p951 :rule cong :premises (@p950 @p949) :args (@t436)) % 220.33/220.68 (step @p941 :rule symm :premises (@p422)) % 220.33/220.68 (step @p982 :rule trans :premises (@p941 @p535 @p673 @p951 @p875 @p426)) % 220.33/220.68 (step @p983 :rule and_intro :premises (@p372 @p1063 @p422 @p982 @p426 @p361)) % 220.33/220.68 (step-pop @p1073 :rule scope :premises (@p983)) % 220.33/220.68 (step-pop @p1074 :rule scope :premises (@p1073)) % 220.33/220.68 (step-pop @p1075 :rule scope :premises (@p1074)) % 220.33/220.68 (step-pop @p1076 :rule scope :premises (@p1075)) % 220.33/220.68 (step-pop @p1077 :rule scope :premises (@p1076)) % 220.33/220.68 (step-pop @p1078 :rule scope :premises (@p1077)) % 220.33/220.68 (step-pop @p1079 :rule scope :premises (@p1078)) % 220.33/220.68 (step-pop @p1080 :rule scope :premises (@p1079)) % 220.33/220.68 (step-pop @p1081 :rule scope :premises (@p1080)) % 220.33/220.68 (step-pop @p1082 :rule scope :premises (@p1081)) % 220.33/220.68 (step @p984 :rule process_scope :premises (@p1082) :args (@t535)) % 220.33/220.68 (step @p995 :rule implies_elim :premises (@p984)) % 220.33/220.68 (step @p996 :rule resolution :premises (@p995 @p965) :args (true @t535)) % 220.33/220.68 (step @p997 :rule not_and :premises (@p996)) % 220.33/220.68 (step @p998 :rule eq_resolve :premises (@p997 @p933)) % 220.33/220.68 (step @p999 :rule reordering :premises (@p998) :args ((or @t185 @t455 @t532 @t517 @t531 @t530 @t529 @t359 @t528 @t527))) % 220.33/220.68 (step @p1000 false :rule chain_m_resolution :premises (@p999 @p923 @p699 @p535 @p460 @p426 @p422 @p409 @p376 @p372 @p361) :args (false (@list false false false false false false false false false true) (@list @t454 @t358 @t333 @t320 @t309 @t306 @t298 @t289 @t286 @t185))) % 220.33/220.68 ) % 220.33/220.68 % SZS output end Proof % 220.33/220.68 % cvc5 exiting %------------------------------------------------------------------------------