%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC420+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 : n002.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 08:59:15 AM UTC 2026 % Result : Theorem 237.41s 237.51s % Output : Proof 237.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC420+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 % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:47:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 237.41/237.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 237.41/237.51 --- Run --no-e-matching --full-saturate-quant at 6... % 237.41/237.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 237.41/237.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 237.41/237.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 237.41/237.51 --- Run --trigger-sel=max --full-saturate-quant at 15... % 237.41/237.51 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 237.41/237.51 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 237.41/237.51 --- Run --prenex-quant=none --full-saturate-quant at 30... % 237.41/237.51 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 237.41/237.51 --- Run --relevant-triggers --full-saturate-quant at 30... % 237.41/237.51 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 237.41/237.51 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 237.41/237.51 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 237.41/237.51 % SZS status Theorem % 237.41/237.51 % SZS output start Proof % 237.41/237.51 ( % 237.41/237.51 (declare-sort $$unsorted 0) % 237.41/237.51 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 237.41/237.51 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 237.41/237.51 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 237.41/237.51 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 237.41/237.51 (declare-const tptp.nil $$unsorted) % 237.41/237.51 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.ssList (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 237.41/237.51 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 237.41/237.51 (define @t1 () (@var "V" $$unsorted)) % 237.41/237.51 (define @t2 () (@var "U" $$unsorted)) % 237.41/237.51 (define @t3 () (= @t2 @t1)) % 237.41/237.51 (define @t4 () (not @t3)) % 237.41/237.51 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 237.41/237.51 (define @t6 () (tptp.ssItem @t1)) % 237.41/237.51 (define @t7 () (@list @t1)) % 237.41/237.51 (define @t8 () (tptp.ssItem @t2)) % 237.41/237.51 (define @t9 () (@list @t2)) % 237.41/237.51 (define @t10 () (@var "X" $$unsorted)) % 237.41/237.51 (define @t11 () (tptp.cons @t1 @t10)) % 237.41/237.51 (define @t12 () (@var "W" $$unsorted)) % 237.41/237.51 (define @t13 () (tptp.ssList @t10)) % 237.41/237.51 (define @t14 () (@list @t10)) % 237.41/237.51 (define @t15 () (tptp.ssList @t12)) % 237.41/237.51 (define @t16 () (@list @t12)) % 237.41/237.51 (define @t17 () (tptp.ssList @t2)) % 237.41/237.51 (define @t18 () (tptp.cons @t1 tptp.nil)) % 237.41/237.51 (define @t19 () (tptp.app @t1 @t12)) % 237.41/237.51 (define @t20 () (tptp.frontsegP @t2 @t1)) % 237.41/237.51 (define @t21 () (tptp.ssList @t1)) % 237.41/237.51 (define @t22 () (tptp.app @t12 @t1)) % 237.41/237.51 (define @t23 () (tptp.rearsegP @t2 @t1)) % 237.41/237.51 (define @t24 () (tptp.segmentP @t2 @t1)) % 237.41/237.51 (define @t25 () (tptp.leq @t12 @t1)) % 237.41/237.51 (define @t26 () (tptp.leq @t1 @t12)) % 237.41/237.51 (define @t27 () (@var "Z" $$unsorted)) % 237.41/237.51 (define @t28 () (@var "Y" $$unsorted)) % 237.41/237.51 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 237.41/237.51 (define @t30 () (tptp.ssList @t27)) % 237.41/237.51 (define @t31 () (@list @t27)) % 237.41/237.51 (define @t32 () (tptp.ssList @t28)) % 237.41/237.51 (define @t33 () (@list @t28)) % 237.41/237.51 (define @t34 () (tptp.ssItem @t12)) % 237.41/237.51 (define @t35 () (tptp.lt @t1 @t12)) % 237.41/237.51 (define @t36 () (= @t1 @t12)) % 237.41/237.51 (define @t37 () (forall @t7 (=> @t21 @t5))) % 237.41/237.51 (define @t38 () (=> @t17 @t37)) % 237.41/237.51 (define @t39 () (forall @t9 @t38)) % 237.41/237.51 (define @t40 () (tptp.cons @t1 @t2)) % 237.41/237.51 (define @t41 () (tptp.ssList @t40)) % 237.41/237.51 (define @t42 () (forall @t7 (=> @t6 @t41))) % 237.41/237.51 (define @t43 () (=> @t17 @t42)) % 237.41/237.51 (define @t44 () (forall @t9 @t43)) % 237.41/237.51 (define @t45 () (tptp.ssList tptp.nil)) % 237.41/237.51 (define @t46 () (= @t1 @t2)) % 237.41/237.51 (define @t47 () (tptp.cons @t12 @t1)) % 237.41/237.51 (define @t48 () (and @t34 (= @t47 @t2))) % 237.41/237.51 (define @t49 () (exists @t16 @t48)) % 237.41/237.51 (define @t50 () (and @t21 @t49)) % 237.41/237.51 (define @t51 () (exists @t7 @t50)) % 237.41/237.51 (define @t52 () (= tptp.nil @t2)) % 237.41/237.51 (define @t53 () (or @t52 @t51)) % 237.41/237.51 (define @t54 () (=> @t17 @t53)) % 237.41/237.51 (define @t55 () (forall @t9 @t54)) % 237.41/237.51 (define @t56 () (tptp.hd @t2)) % 237.41/237.51 (define @t57 () (tptp.ssItem @t56)) % 237.41/237.51 (define @t58 () (not @t52)) % 237.41/237.51 (define @t59 () (=> @t58 @t57)) % 237.41/237.51 (define @t60 () (=> @t17 @t59)) % 237.41/237.51 (define @t61 () (forall @t9 @t60)) % 237.41/237.51 (define @t62 () (tptp.tl @t2)) % 237.41/237.51 (define @t63 () (tptp.tl @t40)) % 237.41/237.51 (define @t64 () (=> @t6 (= @t63 @t2))) % 237.41/237.51 (define @t65 () (forall @t7 @t64)) % 237.41/237.51 (define @t66 () (=> @t17 @t65)) % 237.41/237.51 (define @t67 () (forall @t9 @t66)) % 237.41/237.51 (define @t68 () (tptp.app @t2 @t1)) % 237.41/237.51 (define @t69 () (tptp.app @t1 @t2)) % 237.41/237.51 (define @t70 () (tptp.app tptp.nil @t2)) % 237.41/237.51 (define @t71 () (=> @t17 (= @t70 @t2))) % 237.41/237.51 (define @t72 () (forall @t9 @t71)) % 237.41/237.51 (define @t73 () (tptp.leq @t1 @t2)) % 237.41/237.51 (define @t74 () (tptp.leq @t2 @t1)) % 237.41/237.51 (define @t75 () (tptp.geq @t2 @t1)) % 237.41/237.51 (define @t76 () (tptp.lt @t1 @t2)) % 237.41/237.51 (define @t77 () (tptp.lt @t2 @t1)) % 237.41/237.51 (define @t78 () (tptp.lt @t2 @t12)) % 237.41/237.51 (define @t79 () (tptp.gt @t2 @t1)) % 237.41/237.51 (define @t80 () (tptp.memberP @t12 @t2)) % 237.41/237.51 (define @t81 () (tptp.app @t12 @t2)) % 237.41/237.51 (define @t82 () (tptp.cons @t2 tptp.nil)) % 237.41/237.51 (define @t83 () (tptp.hd @t1)) % 237.41/237.51 (define @t84 () (= tptp.nil @t1)) % 237.41/237.51 (define @t85 () (not @t84)) % 237.41/237.51 (define @t86 () (tptp.cons @t2 @t1)) % 237.41/237.51 (define @t87 () (tptp.cons @t56 @t62)) % 237.41/237.51 (define @t88 () (=> @t58 (= @t87 @t2))) % 237.41/237.51 (define @t89 () (=> @t17 @t88)) % 237.41/237.51 (define @t90 () (forall @t9 @t89)) % 237.41/237.51 (define @t91 () (= @t12 @t2)) % 237.41/237.51 (define @t92 () (= @t40 (tptp.app @t18 @t2))) % 237.41/237.51 (define @t93 () (forall @t7 (=> @t6 @t92))) % 237.41/237.51 (define @t94 () (=> @t17 @t93)) % 237.41/237.51 (define @t95 () (forall @t9 @t94)) % 237.41/237.51 (define @t96 () (tptp.app @t2 tptp.nil)) % 237.41/237.51 (define @t97 () (=> @t17 (= @t96 @t2))) % 237.41/237.51 (define @t98 () (forall @t9 @t97)) % 237.41/237.51 (define @t99 () (not (= tptp.nil @t12))) % 237.41/237.51 (define @t100 () (and @t99 (= tptp.nil @t10))) % 237.41/237.51 (define @t101 () (@var "X3" $$unsorted)) % 237.41/237.51 (define @t102 () (@var "X2" $$unsorted)) % 237.41/237.51 (define @t103 () (tptp.cons @t102 tptp.nil)) % 237.41/237.51 (define @t104 () (tptp.app @t103 @t101)) % 237.41/237.51 (define @t105 () (tptp.app @t101 @t103)) % 237.41/237.51 (define @t106 () (not (= @t105 @t12))) % 237.41/237.51 (define @t107 () (tptp.ssList @t101)) % 237.41/237.51 (define @t108 () (and @t107 @t106 (= @t104 @t10))) % 237.41/237.51 (define @t109 () (@list @t101)) % 237.41/237.51 (define @t110 () (exists @t109 @t108)) % 237.41/237.51 (define @t111 () (tptp.ssItem @t102)) % 237.41/237.51 (define @t112 () (and @t111 @t110)) % 237.41/237.51 (define @t113 () (@list @t102)) % 237.41/237.51 (define @t114 () (exists @t113 @t112)) % 237.41/237.51 (define @t115 () (tptp.cons @t28 tptp.nil)) % 237.41/237.51 (define @t116 () (@var "X1" $$unsorted)) % 237.41/237.51 (define @t117 () (tptp.app (tptp.app @t116 @t115) @t27)) % 237.41/237.51 (define @t118 () (tptp.app @t27 @t115)) % 237.41/237.51 (define @t119 () (tptp.app @t118 @t116)) % 237.41/237.51 (define @t120 () (tptp.ssList @t116)) % 237.41/237.51 (define @t121 () (and @t120 (= @t119 @t1) (= @t117 @t2))) % 237.41/237.51 (define @t122 () (@list @t116)) % 237.41/237.51 (define @t123 () (exists @t122 @t121)) % 237.41/237.51 (define @t124 () (and @t30 @t123)) % 237.41/237.51 (define @t125 () (exists @t31 @t124)) % 237.41/237.51 (define @t126 () (tptp.ssItem @t28)) % 237.41/237.51 (define @t127 () (and @t126 @t125)) % 237.41/237.51 (define @t128 () (exists @t33 @t127)) % 237.41/237.51 (define @t129 () (not (tptp.neq @t1 tptp.nil))) % 237.41/237.51 (define @t130 () (not (= @t2 @t12))) % 237.41/237.51 (define @t131 () (not (= @t1 @t10))) % 237.41/237.51 (define @t132 () (not @t13)) % 237.41/237.51 (define @t133 () (or @t132 @t131 @t130 @t129 @t128 @t114 @t100)) % 237.41/237.51 (define @t134 () (forall @t14 @t133)) % 237.41/237.51 (define @t135 () (=> @t15 @t134)) % 237.41/237.51 (define @t136 () (forall @t16 @t135)) % 237.41/237.51 (define @t137 () (=> @t21 @t136)) % 237.41/237.51 (define @t138 () (forall @t7 @t137)) % 237.41/237.51 (define @t139 () (=> @t17 @t138)) % 237.41/237.51 (define @t140 () (forall @t9 @t139)) % 237.41/237.51 (define @t141 () (not @t140)) % 237.41/237.51 (define @t142 () (= @t2 tptp.nil)) % 237.41/237.51 (define @t143 () (not @t17)) % 237.41/237.51 (define @t144 () (or @t143 @t142 @t57)) % 237.41/237.51 (define @t145 () (not @t142)) % 237.41/237.51 (define @t146 () (not @t145)) % 237.41/237.51 (define @t147 () (=> @t145 @t57)) % 237.41/237.51 (define @t148 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 237.41/237.51 (define @t149 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 237.41/237.51 (define @t150 () (tptp.app @t103 @t149)) % 237.41/237.51 (define @t151 () (tptp.app @t149 @t103)) % 237.41/237.51 (define @t152 () (= @t2 @t151)) % 237.41/237.51 (define @t153 () (not (tptp.ssList @t149))) % 237.41/237.51 (define @t154 () (not @t111)) % 237.41/237.51 (define @t155 () (@list @t102 @t149)) % 237.41/237.51 (define @t156 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 237.41/237.51 (define @t157 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 237.41/237.51 (define @t158 () (tptp.app (tptp.app @t157 @t115) @t156)) % 237.41/237.51 (define @t159 () (not (= @t2 @t158))) % 237.41/237.51 (define @t160 () (tptp.app (tptp.app @t156 @t115) @t157)) % 237.41/237.51 (define @t161 () (not (tptp.ssList @t157))) % 237.41/237.51 (define @t162 () (not (tptp.ssList @t156))) % 237.41/237.51 (define @t163 () (not @t126)) % 237.41/237.51 (define @t164 () (@list @t28 @t156 @t157)) % 237.41/237.51 (define @t165 () (not (tptp.neq @t148 tptp.nil))) % 237.41/237.51 (define @t166 () (not (tptp.ssList @t148))) % 237.41/237.51 (define @t167 () (@list @t2 @t148)) % 237.41/237.51 (define @t168 () (forall @t167 (or @t143 @t166 @t165 (not (forall @t164 (or @t163 @t162 @t161 (not (= @t160 @t148)) @t159))) (not (forall @t155 (or @t154 @t153 @t152 (not (= @t150 @t148))))) (and @t145 (= tptp.nil @t148))))) % 237.41/237.51 (define @t169 () (@quantifiers_skolemize @t168 1)) % 237.41/237.51 (define @t170 () (tptp.hd @t169)) % 237.41/237.51 (define @t171 () (tptp.ssItem @t170)) % 237.41/237.51 (define @t172 () (tptp.ssList @t169)) % 237.41/237.51 (define @t173 () (not @t172)) % 237.41/237.51 (define @t174 () (= @t169 tptp.nil)) % 237.41/237.51 (define @t175 () (or @t173 @t174 @t171)) % 237.41/237.51 (define @t176 () (forall @t9 @t144)) % 237.41/237.51 (define @t177 () (@list @t169)) % 237.41/237.51 (define @t178 () (= tptp.nil @t169)) % 237.41/237.51 (define @t179 () (or @t173 @t178 @t171)) % 237.41/237.51 (define @t180 () (@list false)) % 237.41/237.51 (define @t181 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 237.41/237.51 (define @t182 () (= (tptp.neq @t2 @t181) (not (= @t2 @t181)))) % 237.41/237.51 (define @t183 () (not (tptp.ssList @t181))) % 237.41/237.51 (define @t184 () (or @t143 @t183 @t182)) % 237.41/237.51 (define @t185 () (or @t183 @t182)) % 237.41/237.51 (define @t186 () (or @t143 @t185)) % 237.41/237.51 (define @t187 () (@list @t2 @t181)) % 237.41/237.51 (define @t188 () (forall @t187 @t186)) % 237.41/237.51 (define @t189 () (@list @t181)) % 237.41/237.51 (define @t190 () (forall @t189 @t186)) % 237.41/237.51 (define @t191 () (forall @t189 @t185)) % 237.41/237.51 (define @t192 () (@list @t1)) % 237.41/237.51 (define @t193 () (or @t143 @t191)) % 237.41/237.51 (define @t194 () (not @t21)) % 237.41/237.51 (define @t195 () (forall @t7 (or @t194 @t5))) % 237.41/237.51 (define @t196 () (not @t174)) % 237.41/237.51 (define @t197 () (tptp.neq @t169 tptp.nil)) % 237.41/237.51 (define @t198 () (= @t197 @t196)) % 237.41/237.51 (define @t199 () (not @t45)) % 237.41/237.51 (define @t200 () (or @t173 @t199 @t198)) % 237.41/237.51 (define @t201 () (forall @t187 @t184)) % 237.41/237.51 (define @t202 () (not @t178)) % 237.41/237.51 (define @t203 () (= @t197 @t202)) % 237.41/237.51 (define @t204 () (or @t173 @t199 @t203)) % 237.41/237.51 (define @t205 () (and @t145 (= @t148 tptp.nil))) % 237.41/237.51 (define @t206 () (not (= @t148 @t150))) % 237.41/237.51 (define @t207 () (or @t154 @t153 @t152 @t206)) % 237.41/237.51 (define @t208 () (forall @t155 @t207)) % 237.41/237.51 (define @t209 () (not @t208)) % 237.41/237.51 (define @t210 () (not (= @t148 @t160))) % 237.41/237.51 (define @t211 () (or @t163 @t162 @t161 @t210 @t159)) % 237.41/237.51 (define @t212 () (forall @t164 @t211)) % 237.41/237.51 (define @t213 () (not @t212)) % 237.41/237.51 (define @t214 () (or @t143 @t166 @t165 @t213 @t209 @t205)) % 237.41/237.51 (define @t215 () (or @t166 @t165 @t213 @t209 @t205)) % 237.41/237.51 (define @t216 () (or @t143 @t215)) % 237.41/237.51 (define @t217 () (forall @t167 @t216)) % 237.41/237.51 (define @t218 () (@list @t148)) % 237.41/237.51 (define @t219 () (forall @t218 @t216)) % 237.41/237.51 (define @t220 () (forall @t218 @t215)) % 237.41/237.51 (define @t221 () (or @t143 @t220)) % 237.41/237.51 (define @t222 () (= @t1 tptp.nil)) % 237.41/237.51 (define @t223 () (and @t145 @t222)) % 237.41/237.51 (define @t224 () (not (= @t1 @t150))) % 237.41/237.51 (define @t225 () (not (forall @t155 (or @t154 @t153 @t152 @t224)))) % 237.41/237.51 (define @t226 () (not (= @t1 @t160))) % 237.41/237.51 (define @t227 () (or @t163 @t162 @t161 @t226 @t159)) % 237.41/237.51 (define @t228 () (not (forall @t164 @t227))) % 237.41/237.51 (define @t229 () (or @t194 @t129 @t228 @t225 @t223)) % 237.41/237.51 (define @t230 () (or @t143 (forall @t7 @t229))) % 237.41/237.51 (define @t231 () (or @t143 @t229)) % 237.41/237.51 (define @t232 () (or @t194 @t129 @t228 @t143 @t225 @t223)) % 237.41/237.51 (define @t233 () (or @t129 @t228 @t194 @t143 @t225 @t223)) % 237.41/237.51 (define @t234 () (or @t143 @t225 @t223)) % 237.41/237.51 (define @t235 () (not (= @t2 @t2))) % 237.41/237.51 (define @t236 () (or @t143 @t235 @t225 @t223)) % 237.41/237.51 (define @t237 () (not (= @t12 tptp.nil))) % 237.41/237.51 (define @t238 () (and @t237 @t222)) % 237.41/237.51 (define @t239 () (= @t12 @t151)) % 237.41/237.51 (define @t240 () (not (forall @t155 (or @t154 @t153 @t239 @t224)))) % 237.41/237.51 (define @t241 () (not @t15)) % 237.41/237.51 (define @t242 () (or @t130 @t241 @t130 @t240 @t238)) % 237.41/237.51 (define @t243 () (or @t241 @t130 @t240 @t238)) % 237.41/237.51 (define @t244 () (forall @t16 @t243)) % 237.41/237.51 (define @t245 () (or @t129 @t228 @t194 @t244)) % 237.41/237.51 (define @t246 () (or @t129 @t228 @t194 @t243)) % 237.41/237.51 (define @t247 () (or @t241 @t130 @t129 @t228 @t194 @t240 @t238)) % 237.41/237.51 (define @t248 () (or @t130 @t129 @t228 @t194 @t240 @t238)) % 237.41/237.51 (define @t249 () (or @t194 @t240 @t238)) % 237.41/237.51 (define @t250 () (not (= @t1 @t1))) % 237.41/237.51 (define @t251 () (or @t194 @t250 @t240 @t238)) % 237.41/237.51 (define @t252 () (and @t237 (= @t10 tptp.nil))) % 237.41/237.51 (define @t253 () (not (= @t10 @t150))) % 237.41/237.51 (define @t254 () (or @t154 @t153 @t239 @t253)) % 237.41/237.51 (define @t255 () (not (forall @t155 @t254))) % 237.41/237.51 (define @t256 () (or @t131 @t132 @t131 @t255 @t252)) % 237.41/237.51 (define @t257 () (or @t132 @t131 @t255 @t252)) % 237.41/237.51 (define @t258 () (forall @t14 @t257)) % 237.41/237.51 (define @t259 () (or @t130 @t129 @t228 @t258)) % 237.41/237.51 (define @t260 () (or @t130 @t129 @t228 @t257)) % 237.41/237.51 (define @t261 () (or @t132 @t131 @t130 @t129 @t228 @t255 @t252)) % 237.41/237.51 (define @t262 () (or @t153 @t239 @t253)) % 237.41/237.51 (define @t263 () (or @t154 @t262)) % 237.41/237.51 (define @t264 () (forall @t155 @t263)) % 237.41/237.51 (define @t265 () (@list @t149)) % 237.41/237.51 (define @t266 () (forall @t265 @t263)) % 237.41/237.51 (define @t267 () (forall @t265 @t262)) % 237.41/237.51 (define @t268 () (or @t154 @t267)) % 237.41/237.51 (define @t269 () (= @t10 @t104)) % 237.41/237.51 (define @t270 () (not @t269)) % 237.41/237.51 (define @t271 () (= @t12 @t105)) % 237.41/237.51 (define @t272 () (not @t107)) % 237.41/237.51 (define @t273 () (forall @t109 (or @t272 @t271 @t270))) % 237.41/237.51 (define @t274 () (not @t273)) % 237.41/237.51 (define @t275 () (and @t111 @t274)) % 237.41/237.51 (define @t276 () (forall @t113 (not @t275))) % 237.41/237.51 (define @t277 () (not @t276)) % 237.41/237.51 (define @t278 () (not @t271)) % 237.41/237.51 (define @t279 () (not @t278)) % 237.41/237.51 (define @t280 () (or @t272 @t279 @t270)) % 237.41/237.51 (define @t281 () (and @t107 @t278 @t269)) % 237.41/237.51 (define @t282 () (forall @t109 (not @t281))) % 237.41/237.51 (define @t283 () (not @t282)) % 237.41/237.51 (define @t284 () (or @t162 @t161 @t226 @t159)) % 237.41/237.51 (define @t285 () (or @t163 @t284)) % 237.41/237.51 (define @t286 () (forall @t164 @t285)) % 237.41/237.51 (define @t287 () (@list @t156 @t157)) % 237.41/237.51 (define @t288 () (forall @t287 @t285)) % 237.41/237.51 (define @t289 () (forall @t287 @t284)) % 237.41/237.51 (define @t290 () (@var "BOUND_VARIABLE_10968" $$unsorted)) % 237.41/237.51 (define @t291 () (or @t163 @t289)) % 237.41/237.51 (define @t292 () (not (= @t2 (tptp.app (tptp.app @t290 @t115) @t27)))) % 237.41/237.51 (define @t293 () (not (= @t1 (tptp.app @t118 @t290)))) % 237.41/237.51 (define @t294 () (not (tptp.ssList @t290))) % 237.41/237.51 (define @t295 () (not @t30)) % 237.41/237.51 (define @t296 () (or @t295 @t294 @t293 @t292)) % 237.41/237.51 (define @t297 () (@list @t27 @t290)) % 237.41/237.51 (define @t298 () (forall @t297 @t296)) % 237.41/237.51 (define @t299 () (not @t298)) % 237.41/237.51 (define @t300 () (and @t126 @t299)) % 237.41/237.51 (define @t301 () (forall @t33 (not @t300))) % 237.41/237.51 (define @t302 () (not @t301)) % 237.41/237.51 (define @t303 () (or @t294 @t293 @t292)) % 237.41/237.51 (define @t304 () (or @t295 @t303)) % 237.41/237.51 (define @t305 () (forall @t297 @t304)) % 237.41/237.51 (define @t306 () (@list @t290)) % 237.41/237.51 (define @t307 () (forall @t306 @t304)) % 237.41/237.51 (define @t308 () (forall @t306 @t303)) % 237.41/237.51 (define @t309 () (or @t295 @t308)) % 237.41/237.51 (define @t310 () (= @t2 @t117)) % 237.41/237.51 (define @t311 () (not @t310)) % 237.41/237.51 (define @t312 () (= @t1 @t119)) % 237.41/237.51 (define @t313 () (not @t312)) % 237.41/237.51 (define @t314 () (not @t120)) % 237.41/237.51 (define @t315 () (or @t314 @t313 @t311)) % 237.41/237.51 (define @t316 () (forall @t122 @t315)) % 237.41/237.51 (define @t317 () (not @t316)) % 237.41/237.51 (define @t318 () (and @t30 @t317)) % 237.41/237.51 (define @t319 () (forall @t31 (not @t318))) % 237.41/237.51 (define @t320 () (not @t319)) % 237.41/237.51 (define @t321 () (and @t120 @t312 @t310)) % 237.41/237.51 (define @t322 () (forall @t122 (not @t321))) % 237.41/237.51 (define @t323 () (not @t322)) % 237.41/237.51 (define @t324 () (@quantifiers_skolemize @t168 0)) % 237.41/237.51 (define @t325 () (not (= @t150 @t169))) % 237.41/237.51 (define @t326 () (forall @t155 (or @t154 @t153 (= @t151 @t324) @t325))) % 237.41/237.51 (define @t327 () (not @t326)) % 237.41/237.51 (define @t328 () (not (= @t160 @t169))) % 237.41/237.51 (define @t329 () (forall @t164 (or @t163 @t162 @t161 @t328 (not (= @t158 @t324))))) % 237.41/237.51 (define @t330 () (not @t329)) % 237.41/237.51 (define @t331 () (not @t197)) % 237.41/237.51 (define @t332 () (tptp.ssList @t324)) % 237.41/237.51 (define @t333 () (not @t332)) % 237.41/237.51 (define @t334 () (or @t333 @t173 @t331 @t330 @t327 (and (not (= tptp.nil @t324)) @t178))) % 237.41/237.51 (define @t335 () (not @t334)) % 237.41/237.51 (define @t336 () (not @t168)) % 237.41/237.51 (define @t337 () (not (= @t324 tptp.nil))) % 237.41/237.51 (define @t338 () (and @t337 @t178)) % 237.41/237.51 (define @t339 () (or @t154 @t153 (= @t324 @t151) @t325)) % 237.41/237.51 (define @t340 () (forall @t155 @t339)) % 237.41/237.51 (define @t341 () (not @t340)) % 237.41/237.51 (define @t342 () (not (= @t324 @t158))) % 237.41/237.51 (define @t343 () (or @t163 @t162 @t161 @t328 @t342)) % 237.41/237.51 (define @t344 () (forall @t164 @t343)) % 237.41/237.51 (define @t345 () (not @t344)) % 237.41/237.51 (define @t346 () (or @t333 @t173 @t331 @t345 @t341 @t338)) % 237.41/237.51 (define @t347 () (not @t346)) % 237.41/237.51 (define @t348 () (@list true)) % 237.41/237.51 (define @t349 () (@list @t334)) % 237.41/237.51 (define @t350 () (@list false false false)) % 237.41/237.51 (define @t351 () (@list false false)) % 237.41/237.51 (define @t352 () (@list false true false)) % 237.41/237.51 (define @t353 () (@var "BOUND_VARIABLE_9283" $$unsorted)) % 237.41/237.51 (define @t354 () (tptp.cons @t353 @t1)) % 237.41/237.51 (define @t355 () (not (= @t2 @t354))) % 237.41/237.51 (define @t356 () (not (tptp.ssItem @t353))) % 237.41/237.51 (define @t357 () (or @t194 @t356 @t355)) % 237.41/237.51 (define @t358 () (@list @t1 @t353)) % 237.41/237.51 (define @t359 () (not (forall @t358 @t357))) % 237.41/237.51 (define @t360 () (or @t143 @t142 @t359)) % 237.41/237.51 (define @t361 () (or @t142 @t359)) % 237.41/237.51 (define @t362 () (or @t356 @t355)) % 237.41/237.51 (define @t363 () (or @t194 @t362)) % 237.41/237.51 (define @t364 () (forall @t358 @t363)) % 237.41/237.51 (define @t365 () (@list @t353)) % 237.41/237.51 (define @t366 () (forall @t365 @t363)) % 237.41/237.51 (define @t367 () (forall @t365 @t362)) % 237.41/237.51 (define @t368 () (or @t194 @t367)) % 237.41/237.51 (define @t369 () (= @t2 @t47)) % 237.41/237.51 (define @t370 () (forall @t16 (or (not @t34) (not @t369)))) % 237.41/237.51 (define @t371 () (not @t370)) % 237.41/237.51 (define @t372 () (and @t21 @t371)) % 237.41/237.51 (define @t373 () (forall @t7 (not @t372))) % 237.41/237.51 (define @t374 () (not @t373)) % 237.41/237.51 (define @t375 () (and @t34 @t369)) % 237.41/237.51 (define @t376 () (forall @t16 (not @t375))) % 237.41/237.51 (define @t377 () (not @t376)) % 237.41/237.51 (define @t378 () (not (= @t169 @t354))) % 237.41/237.51 (define @t379 () (or @t194 @t356 @t378)) % 237.41/237.51 (define @t380 () (forall @t358 @t379)) % 237.41/237.51 (define @t381 () (not @t380)) % 237.41/237.51 (define @t382 () (or @t173 @t174 @t381)) % 237.41/237.51 (define @t383 () (forall @t9 @t360)) % 237.41/237.51 (define @t384 () (forall @t358 (or @t194 @t356 (not (= @t354 @t169))))) % 237.41/237.51 (define @t385 () (not @t384)) % 237.41/237.51 (define @t386 () (or @t173 @t178 @t385)) % 237.41/237.51 (define @t387 () (@quantifiers_skolemize @t384 0)) % 237.41/237.51 (define @t388 () (@quantifiers_skolemize @t384 1)) % 237.41/237.51 (define @t389 () (tptp.cons @t388 @t387)) % 237.41/237.51 (define @t390 () (= @t169 @t389)) % 237.41/237.51 (define @t391 () (not @t390)) % 237.41/237.51 (define @t392 () (tptp.ssItem @t388)) % 237.41/237.51 (define @t393 () (not @t392)) % 237.41/237.51 (define @t394 () (tptp.ssList @t387)) % 237.41/237.51 (define @t395 () (not @t394)) % 237.41/237.51 (define @t396 () (or @t395 @t393 @t391)) % 237.41/237.51 (define @t397 () (not @t396)) % 237.41/237.51 (define @t398 () (not (= @t389 @t169))) % 237.41/237.51 (define @t399 () (or @t395 @t393 @t398)) % 237.41/237.51 (define @t400 () (not @t399)) % 237.41/237.51 (define @t401 () (@list @t396)) % 237.41/237.51 (define @t402 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 237.41/237.51 (define @t403 () (= @t2 (tptp.tl (tptp.cons @t402 @t2)))) % 237.41/237.51 (define @t404 () (not (tptp.ssItem @t402))) % 237.41/237.51 (define @t405 () (or @t404 @t403)) % 237.41/237.51 (define @t406 () (or @t143 @t405)) % 237.41/237.51 (define @t407 () (forall (@list @t2 @t402) @t406)) % 237.41/237.51 (define @t408 () (@list @t402)) % 237.41/237.51 (define @t409 () (forall @t408 @t406)) % 237.41/237.51 (define @t410 () (forall @t408 @t405)) % 237.41/237.51 (define @t411 () (or @t143 @t410)) % 237.41/237.51 (define @t412 () (= @t2 @t63)) % 237.41/237.51 (define @t413 () (not @t6)) % 237.41/237.51 (define @t414 () (forall @t7 (or @t413 @t412))) % 237.41/237.51 (define @t415 () (tptp.tl @t389)) % 237.41/237.51 (define @t416 () (= @t387 @t415)) % 237.41/237.51 (define @t417 () (or @t395 @t393 @t416)) % 237.41/237.51 (define @t418 () (tptp.tl @t169)) % 237.41/237.51 (define @t419 () (tptp.ssList @t418)) % 237.41/237.51 (define @t420 () (tptp.cons @t170 tptp.nil)) % 237.41/237.51 (define @t421 () (tptp.app @t418 @t420)) % 237.41/237.51 (define @t422 () (tptp.app @t421 tptp.nil)) % 237.41/237.51 (define @t423 () (not (= @t422 @t324))) % 237.41/237.51 (define @t424 () (tptp.app tptp.nil @t420)) % 237.41/237.51 (define @t425 () (tptp.app @t424 @t418)) % 237.41/237.51 (define @t426 () (not (= @t425 @t169))) % 237.41/237.51 (define @t427 () (not @t419)) % 237.41/237.51 (define @t428 () (not @t171)) % 237.41/237.51 (define @t429 () (or @t428 @t199 @t427 @t426 @t423)) % 237.41/237.51 (define @t430 () (= @t324 @t422)) % 237.41/237.51 (define @t431 () (not @t430)) % 237.41/237.51 (define @t432 () (= @t169 @t425)) % 237.41/237.51 (define @t433 () (not @t432)) % 237.41/237.51 (define @t434 () (or @t428 @t199 @t427 @t433 @t431)) % 237.41/237.51 (define @t435 () (tptp.app @t420 @t418)) % 237.41/237.51 (define @t436 () (not (= @t435 @t169))) % 237.41/237.51 (define @t437 () (or @t428 @t427 (= @t421 @t324) @t436)) % 237.41/237.51 (define @t438 () (= @t169 @t435)) % 237.41/237.51 (define @t439 () (not @t438)) % 237.41/237.51 (define @t440 () (= @t324 @t421)) % 237.41/237.51 (define @t441 () (or @t428 @t427 @t440 @t439)) % 237.41/237.51 (define @t442 () (@var "BOUND_VARIABLE_10549" $$unsorted)) % 237.41/237.51 (define @t443 () (= (tptp.cons @t442 @t2) (tptp.app (tptp.cons @t442 tptp.nil) @t2))) % 237.41/237.51 (define @t444 () (not (tptp.ssItem @t442))) % 237.41/237.51 (define @t445 () (or @t444 @t443)) % 237.41/237.51 (define @t446 () (or @t143 @t445)) % 237.41/237.51 (define @t447 () (forall (@list @t2 @t442) @t446)) % 237.41/237.51 (define @t448 () (@list @t442)) % 237.41/237.51 (define @t449 () (forall @t448 @t446)) % 237.41/237.51 (define @t450 () (forall @t448 @t445)) % 237.41/237.51 (define @t451 () (or @t143 @t450)) % 237.41/237.51 (define @t452 () (forall @t7 (or @t413 @t92))) % 237.41/237.51 (define @t453 () (tptp.cons @t170 @t418)) % 237.41/237.51 (define @t454 () (= @t453 @t435)) % 237.41/237.51 (define @t455 () (or @t427 @t428 @t454)) % 237.41/237.51 (define @t456 () (= @t2 @t87)) % 237.41/237.51 (define @t457 () (or @t143 @t142 @t456)) % 237.41/237.51 (define @t458 () (=> @t145 @t456)) % 237.41/237.51 (define @t459 () (= @t169 @t453)) % 237.41/237.51 (define @t460 () (or @t173 @t174 @t459)) % 237.41/237.51 (define @t461 () (forall @t9 @t457)) % 237.41/237.51 (define @t462 () (or @t173 @t178 @t459)) % 237.41/237.51 (define @t463 () (tptp.app @t324 tptp.nil)) % 237.41/237.51 (define @t464 () (= @t2 @t96)) % 237.41/237.51 (define @t465 () (= @t324 @t463)) % 237.41/237.51 (define @t466 () (or @t333 @t465)) % 237.41/237.51 (define @t467 () (= @t2 @t70)) % 237.41/237.51 (define @t468 () (tptp.app tptp.nil @t387)) % 237.41/237.51 (define @t469 () (= @t387 @t468)) % 237.41/237.51 (define @t470 () (or @t395 @t469)) % 237.41/237.51 (define @t471 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 237.41/237.51 (define @t472 () (tptp.ssList (tptp.cons @t471 @t2))) % 237.41/237.51 (define @t473 () (not (tptp.ssItem @t471))) % 237.41/237.51 (define @t474 () (or @t473 @t472)) % 237.41/237.51 (define @t475 () (or @t143 @t474)) % 237.41/237.51 (define @t476 () (forall (@list @t2 @t471) @t475)) % 237.41/237.51 (define @t477 () (@list @t471)) % 237.41/237.51 (define @t478 () (forall @t477 @t475)) % 237.41/237.51 (define @t479 () (forall @t477 @t474)) % 237.41/237.51 (define @t480 () (or @t143 @t479)) % 237.41/237.51 (define @t481 () (forall @t7 (or @t413 @t41))) % 237.41/237.51 (define @t482 () (tptp.ssList @t420)) % 237.41/237.51 (define @t483 () (or @t199 @t428 @t482)) % 237.41/237.51 (define @t484 () (= @t420 @t424)) % 237.41/237.51 (define @t485 () (not @t482)) % 237.41/237.51 (define @t486 () (or @t485 @t484)) % 237.41/237.51 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 237.41/237.51 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 237.41/237.51 (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))))))))))) % 237.41/237.51 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 237.41/237.51 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 237.41/237.51 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 237.41/237.51 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 237.41/237.51 (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))))))))))))))))) % 237.41/237.51 (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)))))))))))))))) % 237.41/237.51 (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))))))))))))))))) % 237.41/237.51 (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))))))))))))))) % 237.41/237.51 (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))))))))))))))) % 237.41/237.51 (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)))))))))))))))) % 237.41/237.51 (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))))))))))))) % 237.41/237.51 (assume @p15 @t39) % 237.41/237.51 (assume @p16 @t44) % 237.41/237.51 (assume @p17 @t45) % 237.41/237.51 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 237.41/237.51 (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))))))))))) % 237.41/237.51 (assume @p20 @t55) % 237.41/237.51 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 237.41/237.51 (assume @p22 @t61) % 237.41/237.51 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 237.41/237.51 (assume @p24 (forall @t9 (=> @t17 (=> @t58 (tptp.ssList @t62))))) % 237.41/237.51 (assume @p25 @t67) % 237.41/237.51 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t68)))))) % 237.41/237.51 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t69) (tptp.app @t47 @t2))))))))) % 237.41/237.51 (assume @p28 @t72) % 237.41/237.51 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 237.41/237.51 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 @t26) (tptp.leq @t2 @t12))))))))) % 237.41/237.51 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 237.41/237.51 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 237.41/237.51 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 237.41/237.51 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 @t35) @t78)))))))) % 237.41/237.51 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 237.41/237.51 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 237.41/237.51 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 237.41/237.51 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 237.41/237.51 (assume @p39 (not (tptp.singletonP tptp.nil))) % 237.41/237.51 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 237.41/237.51 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 237.41/237.51 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 237.41/237.51 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 237.41/237.51 (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)))))))))))) % 237.41/237.51 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 237.41/237.51 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52)))) % 237.41/237.51 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 237.41/237.51 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 237.41/237.51 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 237.41/237.51 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t81 @t1))))))))) % 237.41/237.51 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 237.41/237.51 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52)))) % 237.41/237.51 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 237.41/237.51 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 237.41/237.51 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 237.41/237.51 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t81 @t10) @t1))))))))))) % 237.41/237.51 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 237.41/237.51 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52)))) % 237.41/237.51 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t82)))) % 237.41/237.51 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 237.41/237.51 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t82)))) % 237.41/237.51 (assume @p62 (tptp.totalorderP tptp.nil)) % 237.41/237.51 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t82)))) % 237.41/237.51 (assume @p64 (tptp.strictorderP tptp.nil)) % 237.41/237.51 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t82)))) % 237.41/237.51 (assume @p66 (tptp.totalorderedP tptp.nil)) % 237.41/237.51 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t86) (or @t84 (and @t85 (tptp.totalorderedP @t1) (tptp.leq @t2 @t83))))))))) % 237.41/237.51 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t82)))) % 237.41/237.51 (assume @p69 (tptp.strictorderedP tptp.nil)) % 237.41/237.51 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t86) (or @t84 (and @t85 (tptp.strictorderedP @t1) (tptp.lt @t2 @t83))))))))) % 237.41/237.51 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t82)))) % 237.41/237.51 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 237.41/237.51 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t82)))) % 237.41/237.51 (assume @p74 (tptp.equalelemsP tptp.nil)) % 237.41/237.51 (assume @p75 (forall @t9 (=> @t17 (=> @t58 (exists @t7 (and @t6 (= @t56 @t1))))))) % 237.41/237.51 (assume @p76 (forall @t9 (=> @t17 (=> @t58 (exists @t7 (and @t21 (= @t62 @t1))))))) % 237.41/237.51 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t85 @t58 (= @t83 @t56) (= (tptp.tl @t1) @t62)) @t46)))))) % 237.41/237.51 (assume @p78 @t90) % 237.41/237.51 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t68) @t91)))))))) % 237.41/237.51 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t69) @t91)))))))) % 237.41/237.51 (assume @p81 @t95) % 237.41/237.51 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t68 @t12) (tptp.app @t2 @t19))))))))) % 237.41/237.51 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t68) (and @t84 @t52))))))) % 237.41/237.51 (assume @p84 @t98) % 237.41/237.51 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t58 (= (tptp.hd @t68) @t56))))))) % 237.41/237.51 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t58 (= (tptp.tl @t68) (tptp.app @t62 @t1)))))))) % 237.41/237.51 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 237.41/237.51 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 237.41/237.51 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 237.41/237.51 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 237.41/237.51 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 @t35) @t78)))))))) % 237.41/237.51 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 237.41/237.51 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 237.41/237.51 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 237.41/237.51 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 237.41/237.51 (assume @p96 @t141) % 237.41/237.51 (assume @p97 true) % 237.41/237.51 (step @p98 :rule aci_norm :args ((= (or @t143 (or @t142 @t57)) @t144))) % 237.41/237.51 (step @p99 :rule refl :args (@t57)) % 237.41/237.51 (step @p100 :rule bool-double-not-elim :args (@t142)) % 237.41/237.51 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t146 @t57))) % 237.41/237.51 (step @p102 :rule bool-impl-elim :args (@t145 @t57)) % 237.41/237.51 (step @p103 :rule trans :premises (@p102 @p101)) % 237.41/237.51 (step @p104 :rule refl :args (@t143)) % 237.41/237.51 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t143 @t147))) % 237.41/237.51 (step @p106 :rule trans :premises (@p105 @p98)) % 237.41/237.51 (step @p107 :rule bool-impl-elim :args (@t17 @t147)) % 237.41/237.51 (step @p108 :rule trans :premises (@p107 @p106)) % 237.41/237.51 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t147)))) % 237.41/237.51 (step @p110 :rule refl :args (@t57)) % 237.41/237.51 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 237.41/237.51 (step @p112 :rule cong :premises (@p111) :args (@t58)) % 237.41/237.51 (step @p113 :rule cong :premises (@p112 @p110) :args (@t59)) % 237.41/237.51 (step @p114 :rule refl :args (@t17)) % 237.41/237.51 (step @p115 :rule cong :premises (@p114 @p113) :args (@t60)) % 237.41/237.51 (step @p116 :rule cong :premises (@p115) :args (@t61)) % 237.41/237.51 (step @p117 :rule trans :premises (@p116 @p109)) % 237.41/237.51 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 237.41/237.51 (step @p119 :rule refl :args (@t171)) % 237.41/237.51 (step @p120 :rule eq-symm :args (@t169 tptp.nil)) % 237.41/237.51 (step @p121 :rule refl :args (@t173)) % 237.41/237.51 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t175)) % 237.41/237.51 (step @p123 :rule refl :args (@t176)) % 237.41/237.51 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t176 @t175))) % 237.41/237.51 (assume-push @p780 @t176) % 237.41/237.51 (step @p126 :rule instantiate :premises (@p118) :args (@t177)) % 237.41/237.51 (step-pop @p781 :rule scope :premises (@p126)) % 237.41/237.51 (step @p127 :rule process_scope :premises (@p781) :args (@t175)) % 237.41/237.51 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 237.41/237.51 (step @p130 :rule implies_elim :premises (@p129)) % 237.41/237.51 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t179 @t180 (@list @t176))) % 237.41/237.51 (step @p132 :rule aci_norm :args ((= @t186 @t184))) % 237.41/237.51 (step @p133 :rule cong :premises (@p132) :args (@t188)) % 237.41/237.51 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t190) @t188))) % 237.41/237.51 (step @p135 :rule alpha_equiv :args (@t191 (@list @t181) @t192)) % 237.41/237.51 (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t193)) % 237.41/237.51 (step @p137 :rule quant-miniscope-or :args ((= @t190 @t193))) % 237.41/237.51 (step @p138 :rule trans :premises (@p137 @p136)) % 237.41/237.51 (step @p139 :rule symm :premises (@p138)) % 237.41/237.51 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t143 @t195)))) % 237.41/237.51 (step @p141 :rule trans :premises (@p140 @p134)) % 237.41/237.51 (step @p142 :rule trans :premises (@p141 @p133)) % 237.41/237.51 (step @p143 :rule bool-impl-elim :args (@t17 @t195)) % 237.41/237.51 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t195)))) % 237.41/237.51 (step @p145 :rule trans :premises (@p144 @p142)) % 237.41/237.51 (step @p146 :rule bool-impl-elim :args (@t21 @t5)) % 237.41/237.51 (step @p147 :rule cong :premises (@p146) :args (@t37)) % 237.41/237.51 (step @p148 :rule cong :premises (@p114 @p147) :args (@t38)) % 237.41/237.51 (step @p149 :rule cong :premises (@p148) :args (@t39)) % 237.41/237.51 (step @p150 :rule trans :premises (@p149 @p145)) % 237.41/237.51 (step @p151 :rule eq_resolve :premises (@p15 @p150)) % 237.41/237.51 (step @p152 :rule cong :premises (@p120) :args (@t196)) % 237.41/237.51 (step @p153 :rule refl :args (@t197)) % 237.41/237.51 (step @p154 :rule cong :premises (@p153 @p152) :args (@t198)) % 237.41/237.51 (step @p155 :rule refl :args (@t199)) % 237.41/237.51 (step @p156 :rule nary_cong :premises (@p121 @p155 @p154) :args (@t200)) % 237.41/237.51 (step @p157 :rule refl :args (@t201)) % 237.41/237.51 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t201 @t200))) % 237.41/237.51 (assume-push @p782 @t201) % 237.41/237.51 (step @p160 :rule instantiate :premises (@p151) :args ((@list @t169 tptp.nil))) % 237.41/237.51 (step-pop @p783 :rule scope :premises (@p160)) % 237.41/237.51 (step @p161 :rule process_scope :premises (@p783) :args (@t200)) % 237.41/237.51 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 237.41/237.51 (step @p164 :rule implies_elim :premises (@p163)) % 237.41/237.51 (step @p165 :rule chain_m_resolution :premises (@p164 @p151) :args (@t204 @t180 (@list @t201))) % 237.41/237.51 (step @p166 :rule eq-symm :args (@t148 tptp.nil)) % 237.41/237.51 (step @p167 :rule refl :args (@t145)) % 237.41/237.51 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t205)) % 237.41/237.51 (step @p169 :rule eq-symm :args (@t148 @t150)) % 237.41/237.51 (step @p170 :rule cong :premises (@p169) :args (@t206)) % 237.41/237.51 (step @p171 :rule refl :args (@t152)) % 237.41/237.51 (step @p172 :rule refl :args (@t153)) % 237.41/237.51 (step @p173 :rule refl :args (@t154)) % 237.41/237.51 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171 @p170) :args (@t207)) % 237.41/237.51 (step @p175 :rule cong :premises (@p174) :args (@t208)) % 237.41/237.51 (step @p176 :rule cong :premises (@p175) :args (@t209)) % 237.41/237.51 (step @p177 :rule refl :args (@t159)) % 237.41/237.51 (step @p178 :rule eq-symm :args (@t148 @t160)) % 237.41/237.51 (step @p179 :rule cong :premises (@p178) :args (@t210)) % 237.41/237.51 (step @p180 :rule refl :args (@t161)) % 237.41/237.51 (step @p181 :rule refl :args (@t162)) % 237.41/237.51 (step @p182 :rule refl :args (@t163)) % 237.41/237.51 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179 @p177) :args (@t211)) % 237.41/237.51 (step @p184 :rule cong :premises (@p183) :args (@t212)) % 237.41/237.51 (step @p185 :rule cong :premises (@p184) :args (@t213)) % 237.41/237.51 (step @p186 :rule refl :args (@t165)) % 237.41/237.51 (step @p187 :rule refl :args (@t166)) % 237.41/237.51 (step @p188 :rule refl :args (@t143)) % 237.41/237.51 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p185 @p176 @p168) :args (@t214)) % 237.41/237.51 (step @p190 :rule aci_norm :args ((= @t216 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(@t437)) % 237.41/237.51 (step @p649 :rule eq_resolve :premises (@p647 @p644)) % 237.41/237.51 (step @p650 :rule implies_elim :premises (@p649)) % 237.41/237.51 (step @p651 :rule chain_m_resolution :premises (@p650 @p638) :args (@t441 @t180 (@list @t326))) % 237.41/237.51 (step @p652 :rule aci_norm :args ((= @t446 (or @t143 @t444 @t443)))) % 237.41/237.51 (step @p653 :rule cong :premises (@p652) :args (@t447)) % 237.41/237.51 (step @p654 :rule quant-merge-prenex :args ((= (forall @t9 @t449) @t447))) % 237.41/237.51 (step @p655 :rule alpha_equiv :args (@t450 (@list @t442) @t192)) % 237.41/237.51 (step @p656 :rule nary_cong :premises (@p104 @p655) :args (@t451)) % 237.41/237.51 (step @p657 :rule quant-miniscope-or :args ((= @t449 @t451))) % 237.41/237.51 (step @p658 :rule trans :premises (@p657 @p656)) % 237.41/237.51 (step @p659 :rule symm :premises (@p658)) % 237.41/237.51 (step @p660 :rule cong :premises (@p659) :args ((forall @t9 (or @t143 @t452)))) % 237.41/237.51 (step @p661 :rule trans :premises (@p660 @p654)) % 237.41/237.51 (step @p662 :rule trans :premises (@p661 @p653)) % 237.41/237.51 (step @p663 :rule bool-impl-elim :args (@t17 @t452)) % 237.41/237.51 (step @p664 :rule cong :premises (@p663) :args ((forall @t9 (=> @t17 @t452)))) % 237.41/237.51 (step @p665 :rule trans :premises (@p664 @p662)) % 237.41/237.51 (step @p666 :rule bool-impl-elim :args (@t6 @t92)) % 237.41/237.51 (step @p667 :rule cong :premises (@p666) :args (@t93)) % 237.41/237.51 (step @p668 :rule cong :premises (@p114 @p667) :args (@t94)) % 237.41/237.51 (step @p669 :rule cong :premises (@p668) :args (@t95)) % 237.41/237.51 (step @p670 :rule trans :premises (@p669 @p665)) % 237.41/237.51 (step @p671 :rule eq_resolve :premises (@p81 @p670)) % 237.41/237.51 (step @p672 :rule instantiate :premises (@p671) :args ((@list @t418 @t170))) % 237.41/237.51 (step @p673 :rule cnf_or_pos :args (@t455)) % 237.41/237.51 (step @p674 :rule reordering :premises (@p673) :args ((or @t428 @t427 @t454 (not @t455)))) % 237.41/237.51 (step @p675 :rule chain_m_resolution :premises (@p674 @p473 @p609 @p672) :args (@t454 @t350 (@list @t171 @t419 @t455))) % 237.41/237.51 (step @p676 :rule aci_norm :args ((= (or @t143 (or @t142 @t456)) @t457))) % 237.41/237.51 (step @p677 :rule refl :args (@t456)) % 237.41/237.51 (step @p678 :rule nary_cong :premises (@p100 @p677) :args ((or @t146 @t456))) % 237.41/237.51 (step @p679 :rule bool-impl-elim :args (@t145 @t456)) % 237.41/237.51 (step @p680 :rule trans :premises (@p679 @p678)) % 237.41/237.51 (step @p681 :rule nary_cong :premises (@p104 @p680) :args ((or @t143 @t458))) % 237.41/237.51 (step @p682 :rule trans :premises (@p681 @p676)) % 237.41/237.51 (step @p683 :rule bool-impl-elim :args (@t17 @t458)) % 237.41/237.51 (step @p684 :rule trans :premises (@p683 @p682)) % 237.41/237.51 (step @p685 :rule cong :premises (@p684) :args ((forall @t9 (=> @t17 @t458)))) % 237.41/237.51 (step @p686 :rule eq-symm :args (@t87 @t2)) % 237.41/237.51 (step @p687 :rule cong :premises (@p112 @p686) :args (@t88)) % 237.41/237.51 (step @p688 :rule cong :premises (@p114 @p687) :args (@t89)) % 237.41/237.51 (step @p689 :rule cong :premises (@p688) :args (@t90)) % 237.41/237.51 (step @p690 :rule trans :premises (@p689 @p685)) % 237.41/237.51 (step @p691 :rule eq_resolve :premises (@p78 @p690)) % 237.41/237.51 (step @p692 :rule refl :args (@t459)) % 237.41/237.51 (step @p693 :rule nary_cong :premises (@p121 @p120 @p692) :args (@t460)) % 237.41/237.51 (step @p694 :rule refl :args (@t461)) % 237.41/237.51 (step @p695 :rule cong :premises (@p694 @p693) :args ((=> @t461 @t460))) % 237.41/237.51 (assume-push @p794 @t461) % 237.41/237.51 (step @p697 :rule instantiate :premises (@p691) :args (@t177)) % 237.41/237.51 (step-pop @p795 :rule scope :premises (@p697)) % 237.41/237.51 (step @p698 :rule process_scope :premises (@p795) :args (@t460)) % 237.41/237.51 (step @p700 :rule eq_resolve :premises (@p698 @p695)) % 237.41/237.51 (step @p701 :rule implies_elim :premises (@p700)) % 237.41/237.51 (step @p702 :rule chain_m_resolution :premises (@p701 @p691) :args (@t462 @t180 (@list @t461))) % 237.41/237.51 (step @p703 :rule cnf_or_pos :args (@t462)) % 237.41/237.51 (step @p704 :rule reordering :premises (@p703) :args ((or @t173 @t178 @t459 (not @t462)))) % 237.41/237.51 (step @p705 :rule chain_m_resolution :premises (@p704 @p458 @p470 @p702) :args (@t459 @t352 (@list @t172 @t178 @t462))) % 237.41/237.51 (step @p706 :rule trans :premises (@p705 @p675)) % 237.41/237.51 (step @p707 :rule cnf_or_pos :args (@t441)) % 237.41/237.51 (step @p708 :rule reordering :premises (@p707) :args ((or @t428 @t427 @t440 @t439 (not @t441)))) % 237.41/237.51 (step @p709 :rule chain_m_resolution :premises (@p708 @p473 @p609 @p706 @p651) :args (@t440 (@list false false false false) (@list @t171 @t419 @t438 @t441))) % 237.41/237.51 (step @p710 :rule cong :premises (@p709 @p632) :args (@t463)) % 237.41/237.51 (step @p711 :rule bool-impl-elim :args (@t17 @t464)) % 237.41/237.51 (step @p712 :rule cong :premises (@p711) :args ((forall @t9 (=> @t17 @t464)))) % 237.41/237.51 (step @p713 :rule eq-symm :args (@t96 @t2)) % 237.41/237.51 (step @p714 :rule cong :premises (@p114 @p713) :args (@t97)) % 237.41/237.51 (step @p715 :rule cong :premises (@p714) :args (@t98)) % 237.41/237.51 (step @p716 :rule trans :premises (@p715 @p712)) % 237.41/237.51 (step @p717 :rule eq_resolve :premises (@p84 @p716)) % 237.41/237.51 (step @p718 :rule instantiate :premises (@p717) :args ((@list @t324))) % 237.41/237.51 (step @p719 :rule bool-double-not-elim :args (@t332)) % 237.41/237.51 (step @p720 :rule nary_cong :premises (@p453 @p719) :args ((or @t334 (not @t333)))) % 237.41/237.51 (step @p721 :rule cnf_or_neg :args (@t334 0)) % 237.41/237.51 (step @p722 :rule eq_resolve :premises (@p721 @p720)) % 237.41/237.51 (step @p723 :rule reordering :premises (@p722) :args ((or @t332 @t334))) % 237.41/237.51 (step @p724 :rule chain_m_resolution :premises (@p723 @p451) :args (@t332 @t348 @t349)) % 237.41/237.51 (step @p725 :rule cnf_or_pos :args (@t466)) % 237.41/237.51 (step @p726 :rule reordering :premises (@p725) :args ((or @t333 @t465 (not @t466)))) % 237.41/237.51 (step @p727 :rule chain_m_resolution :premises (@p726 @p724 @p718) :args (@t465 @t351 (@list @t332 @t466))) % 237.41/237.51 (step @p728 :rule trans :premises (@p727 @p710)) % 237.41/237.51 (step @p729 :rule symm :premises (@p604)) % 237.41/237.51 (step @p730 :rule cong :premises (@p729) :args (@t415)) % 237.41/237.51 (step @p731 :rule bool-impl-elim :args (@t17 @t467)) % 237.41/237.51 (step @p732 :rule cong :premises (@p731) :args ((forall @t9 (=> @t17 @t467)))) % 237.41/237.51 (step @p733 :rule eq-symm :args (@t70 @t2)) % 237.41/237.51 (step @p734 :rule cong :premises (@p114 @p733) :args (@t71)) % 237.41/237.51 (step @p735 :rule cong :premises (@p734) :args (@t72)) % 237.41/237.51 (step @p736 :rule trans :premises (@p735 @p732)) % 237.41/237.51 (step @p737 :rule eq_resolve :premises (@p28 @p736)) % 237.41/237.51 (step @p738 :rule instantiate :premises (@p737) :args ((@list @t387))) % 237.41/237.51 (step @p739 :rule cnf_or_pos :args (@t470)) % 237.41/237.51 (step @p740 :rule reordering :premises (@p739) :args ((or @t395 @t469 (not @t470)))) % 237.41/237.51 (step @p741 :rule chain_m_resolution :premises (@p740 @p561 @p738) :args (@t469 @t351 (@list @t394 @t470))) % 237.41/237.51 (step @p742 :rule symm :premises (@p741)) % 237.41/237.51 (step @p743 :rule trans :premises (@p742 @p597 @p730)) % 237.41/237.51 (step @p744 :rule instantiate :premises (@p737) :args ((@list @t420))) % 237.41/237.51 (step @p745 :rule aci_norm :args ((= @t475 (or @t143 @t473 @t472)))) % 237.41/237.51 (step @p746 :rule cong :premises (@p745) :args (@t476)) % 237.41/237.51 (step @p747 :rule quant-merge-prenex :args ((= (forall @t9 @t478) @t476))) % 237.41/237.51 (step @p748 :rule alpha_equiv :args (@t479 (@list @t471) @t192)) % 237.41/237.51 (step @p749 :rule nary_cong :premises (@p104 @p748) :args (@t480)) % 237.41/237.51 (step @p750 :rule quant-miniscope-or :args ((= @t478 @t480))) % 237.41/237.51 (step @p751 :rule trans :premises (@p750 @p749)) % 237.41/237.51 (step @p752 :rule symm :premises (@p751)) % 237.41/237.51 (step @p753 :rule cong :premises (@p752) :args ((forall @t9 (or @t143 @t481)))) % 237.41/237.51 (step @p754 :rule trans :premises (@p753 @p747)) % 237.41/237.51 (step @p755 :rule trans :premises (@p754 @p746)) % 237.41/237.51 (step @p756 :rule bool-impl-elim :args (@t17 @t481)) % 237.41/237.51 (step @p757 :rule cong :premises (@p756) :args ((forall @t9 (=> @t17 @t481)))) % 237.41/237.51 (step @p758 :rule trans :premises (@p757 @p755)) % 237.41/237.51 (step @p759 :rule bool-impl-elim :args (@t6 @t41)) % 237.41/237.51 (step @p760 :rule cong :premises (@p759) :args (@t42)) % 237.41/237.51 (step @p761 :rule cong :premises (@p114 @p760) :args (@t43)) % 237.41/237.51 (step @p762 :rule cong :premises (@p761) :args (@t44)) % 237.41/237.51 (step @p763 :rule trans :premises (@p762 @p758)) % 237.41/237.51 (step @p764 :rule eq_resolve :premises (@p16 @p763)) % 237.41/237.51 (step @p765 :rule instantiate :premises (@p764) :args ((@list tptp.nil @t170))) % 237.41/237.52 (step @p766 :rule cnf_or_pos :args (@t483)) % 237.41/237.52 (step @p767 :rule reordering :premises (@p766) :args ((or @t199 @t428 @t482 (not @t483)))) % 237.41/237.52 (step @p768 :rule chain_m_resolution :premises (@p767 @p17 @p473 @p765) :args (@t482 @t350 (@list @t45 @t171 @t483))) % 237.41/237.52 (step @p769 :rule cnf_or_pos :args (@t486)) % 237.41/237.52 (step @p770 :rule reordering :premises (@p769) :args ((or @t485 @t484 (not @t486)))) % 237.41/237.52 (step @p771 :rule chain_m_resolution :premises (@p770 @p768 @p744) :args (@t484 @t351 (@list @t482 @t486))) % 237.41/237.52 (step @p772 :rule cong :premises (@p771 @p743) :args ((tptp.app @t420 @t468))) % 237.41/237.52 (step @p773 :rule symm :premises (@p743)) % 237.41/237.52 (step @p774 :rule refl :args (@t420)) % 237.41/237.52 (step @p775 :rule cong :premises (@p774 @p773) :args (@t435)) % 237.41/237.52 (step @p776 :rule trans :premises (@p705 @p675 @p775 @p772)) % 237.41/237.52 (step @p777 :rule cnf_or_pos :args (@t434)) % 237.41/237.52 (step @p778 :rule reordering :premises (@p777) :args ((or @t199 @t428 @t427 @t433 @t431 (not @t434)))) % 237.41/237.52 (step @p779 false :rule chain_m_resolution :premises (@p778 @p776 @p728 @p631 @p609 @p473 @p17) :args (false (@list false false false false false false) (@list @t432 @t430 @t434 @t419 @t171 @t45))) % 237.41/237.52 ) % 237.41/237.52 % SZS output end Proof % 237.41/237.52 % cvc5 exiting %------------------------------------------------------------------------------