%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC055+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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:52 AM UTC 2026 % Result : Theorem 113.77s 114.09s % Output : Proof 113.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC055+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 % 0.17/0.34 % Computer : n022.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 19:11:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 113.77/114.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.77/114.09 --- Run --no-e-matching --full-saturate-quant at 6... % 113.77/114.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.77/114.09 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.77/114.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.77/114.09 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.77/114.09 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.77/114.09 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.77/114.09 % SZS status Theorem % 113.77/114.09 % SZS output start Proof % 113.77/114.09 ( % 113.77/114.09 (declare-sort $$unsorted 0) % 113.77/114.09 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 113.77/114.09 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 113.77/114.09 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 113.77/114.09 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 113.77/114.09 (declare-const tptp.nil $$unsorted) % 113.77/114.09 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.ssList (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 113.77/114.09 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 113.77/114.09 (define @t1 () (@var "V" $$unsorted)) % 113.77/114.09 (define @t2 () (@var "U" $$unsorted)) % 113.77/114.09 (define @t3 () (= @t2 @t1)) % 113.77/114.09 (define @t4 () (not @t3)) % 113.77/114.09 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 113.77/114.09 (define @t6 () (tptp.ssItem @t1)) % 113.77/114.09 (define @t7 () (@list @t1)) % 113.77/114.09 (define @t8 () (tptp.ssItem @t2)) % 113.77/114.09 (define @t9 () (@list @t2)) % 113.77/114.09 (define @t10 () (@var "X" $$unsorted)) % 113.77/114.09 (define @t11 () (tptp.cons @t1 @t10)) % 113.77/114.09 (define @t12 () (@var "W" $$unsorted)) % 113.77/114.09 (define @t13 () (tptp.app @t12 @t11)) % 113.77/114.09 (define @t14 () (tptp.ssList @t10)) % 113.77/114.09 (define @t15 () (and @t14 (= @t13 @t2))) % 113.77/114.09 (define @t16 () (@list @t10)) % 113.77/114.09 (define @t17 () (exists @t16 @t15)) % 113.77/114.09 (define @t18 () (tptp.ssList @t12)) % 113.77/114.09 (define @t19 () (and @t18 @t17)) % 113.77/114.09 (define @t20 () (@list @t12)) % 113.77/114.09 (define @t21 () (exists @t20 @t19)) % 113.77/114.09 (define @t22 () (tptp.memberP @t2 @t1)) % 113.77/114.09 (define @t23 () (= @t22 @t21)) % 113.77/114.09 (define @t24 () (=> @t6 @t23)) % 113.77/114.09 (define @t25 () (forall @t7 @t24)) % 113.77/114.09 (define @t26 () (tptp.ssList @t2)) % 113.77/114.09 (define @t27 () (=> @t26 @t25)) % 113.77/114.09 (define @t28 () (forall @t9 @t27)) % 113.77/114.09 (define @t29 () (tptp.cons @t1 tptp.nil)) % 113.77/114.09 (define @t30 () (tptp.app @t1 @t12)) % 113.77/114.09 (define @t31 () (tptp.frontsegP @t2 @t1)) % 113.77/114.09 (define @t32 () (tptp.ssList @t1)) % 113.77/114.09 (define @t33 () (tptp.app @t12 @t1)) % 113.77/114.09 (define @t34 () (tptp.rearsegP @t2 @t1)) % 113.77/114.09 (define @t35 () (tptp.segmentP @t2 @t1)) % 113.77/114.09 (define @t36 () (tptp.leq @t12 @t1)) % 113.77/114.09 (define @t37 () (tptp.leq @t1 @t12)) % 113.77/114.09 (define @t38 () (@var "Z" $$unsorted)) % 113.77/114.09 (define @t39 () (@var "Y" $$unsorted)) % 113.77/114.09 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 113.77/114.09 (define @t41 () (tptp.ssList @t38)) % 113.77/114.09 (define @t42 () (@list @t38)) % 113.77/114.09 (define @t43 () (tptp.ssList @t39)) % 113.77/114.09 (define @t44 () (@list @t39)) % 113.77/114.09 (define @t45 () (tptp.ssItem @t12)) % 113.77/114.09 (define @t46 () (tptp.lt @t1 @t12)) % 113.77/114.09 (define @t47 () (= @t1 @t12)) % 113.77/114.09 (define @t48 () (forall @t7 (=> @t32 @t5))) % 113.77/114.09 (define @t49 () (=> @t26 @t48)) % 113.77/114.09 (define @t50 () (forall @t9 @t49)) % 113.77/114.09 (define @t51 () (tptp.cons @t1 @t2)) % 113.77/114.09 (define @t52 () (tptp.ssList @t51)) % 113.77/114.09 (define @t53 () (forall @t7 (=> @t6 @t52))) % 113.77/114.09 (define @t54 () (=> @t26 @t53)) % 113.77/114.09 (define @t55 () (forall @t9 @t54)) % 113.77/114.09 (define @t56 () (tptp.ssList tptp.nil)) % 113.77/114.09 (define @t57 () (not (= @t51 @t2))) % 113.77/114.09 (define @t58 () (=> @t6 @t57)) % 113.77/114.09 (define @t59 () (forall @t7 @t58)) % 113.77/114.09 (define @t60 () (=> @t26 @t59)) % 113.77/114.09 (define @t61 () (forall @t9 @t60)) % 113.77/114.09 (define @t62 () (= @t1 @t2)) % 113.77/114.09 (define @t63 () (tptp.cons @t12 @t1)) % 113.77/114.09 (define @t64 () (= tptp.nil @t2)) % 113.77/114.09 (define @t65 () (tptp.hd @t2)) % 113.77/114.09 (define @t66 () (not @t64)) % 113.77/114.09 (define @t67 () (tptp.tl @t2)) % 113.77/114.09 (define @t68 () (tptp.app @t2 @t1)) % 113.77/114.09 (define @t69 () (tptp.app @t1 @t2)) % 113.77/114.09 (define @t70 () (tptp.app tptp.nil @t2)) % 113.77/114.09 (define @t71 () (=> @t26 (= @t70 @t2))) % 113.77/114.09 (define @t72 () (forall @t9 @t71)) % 113.77/114.09 (define @t73 () (tptp.leq @t1 @t2)) % 113.77/114.09 (define @t74 () (tptp.leq @t2 @t1)) % 113.77/114.09 (define @t75 () (tptp.geq @t2 @t1)) % 113.77/114.09 (define @t76 () (tptp.lt @t1 @t2)) % 113.77/114.09 (define @t77 () (tptp.lt @t2 @t1)) % 113.77/114.09 (define @t78 () (tptp.lt @t2 @t12)) % 113.77/114.09 (define @t79 () (tptp.gt @t2 @t1)) % 113.77/114.09 (define @t80 () (tptp.memberP @t12 @t2)) % 113.77/114.09 (define @t81 () (not (tptp.memberP tptp.nil @t2))) % 113.77/114.09 (define @t82 () (forall @t9 (=> @t8 @t81))) % 113.77/114.09 (define @t83 () (tptp.app @t12 @t2)) % 113.77/114.09 (define @t84 () (tptp.segmentP @t2 @t2)) % 113.77/114.09 (define @t85 () (forall @t9 (=> @t26 @t84))) % 113.77/114.09 (define @t86 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 113.77/114.09 (define @t87 () (=> @t35 @t86)) % 113.77/114.09 (define @t88 () (forall @t16 (=> @t14 @t87))) % 113.77/114.09 (define @t89 () (=> @t18 @t88)) % 113.77/114.09 (define @t90 () (forall @t20 @t89)) % 113.77/114.09 (define @t91 () (=> @t32 @t90)) % 113.77/114.09 (define @t92 () (forall @t7 @t91)) % 113.77/114.09 (define @t93 () (=> @t26 @t92)) % 113.77/114.09 (define @t94 () (forall @t9 @t93)) % 113.77/114.09 (define @t95 () (tptp.cons @t2 tptp.nil)) % 113.77/114.09 (define @t96 () (tptp.hd @t1)) % 113.77/114.09 (define @t97 () (= tptp.nil @t1)) % 113.77/114.09 (define @t98 () (not @t97)) % 113.77/114.09 (define @t99 () (tptp.cons @t2 @t1)) % 113.77/114.09 (define @t100 () (= @t12 @t2)) % 113.77/114.09 (define @t101 () (= @t51 (tptp.app @t29 @t2))) % 113.77/114.09 (define @t102 () (forall @t7 (=> @t6 @t101))) % 113.77/114.09 (define @t103 () (=> @t26 @t102)) % 113.77/114.09 (define @t104 () (forall @t9 @t103)) % 113.77/114.09 (define @t105 () (tptp.app @t2 tptp.nil)) % 113.77/114.09 (define @t106 () (=> @t26 (= @t105 @t2))) % 113.77/114.09 (define @t107 () (forall @t9 @t106)) % 113.77/114.09 (define @t108 () (@var "X1" $$unsorted)) % 113.77/114.09 (define @t109 () (tptp.segmentP @t2 @t108)) % 113.77/114.09 (define @t110 () (tptp.segmentP @t1 @t108)) % 113.77/114.09 (define @t111 () (tptp.neq @t108 tptp.nil)) % 113.77/114.09 (define @t112 () (tptp.ssList @t108)) % 113.77/114.09 (define @t113 () (and @t112 @t111 @t110 @t109)) % 113.77/114.09 (define @t114 () (@list @t108)) % 113.77/114.09 (define @t115 () (exists @t114 @t113)) % 113.77/114.09 (define @t116 () (not (tptp.neq @t1 tptp.nil))) % 113.77/114.09 (define @t117 () (or @t116 @t115)) % 113.77/114.09 (define @t118 () (or @t98 @t64)) % 113.77/114.09 (define @t119 () (and @t118 @t117)) % 113.77/114.09 (define @t120 () (not (= tptp.nil @t12))) % 113.77/114.09 (define @t121 () (not (= tptp.nil @t10))) % 113.77/114.09 (define @t122 () (or @t121 @t120)) % 113.77/114.09 (define @t123 () (tptp.leq @t39 @t38)) % 113.77/114.09 (define @t124 () (tptp.memberP @t10 @t38)) % 113.77/114.09 (define @t125 () (= @t39 @t38)) % 113.77/114.09 (define @t126 () (not @t125)) % 113.77/114.09 (define @t127 () (tptp.ssItem @t38)) % 113.77/114.09 (define @t128 () (and @t127 @t126 @t124 @t123)) % 113.77/114.09 (define @t129 () (exists @t42 @t128)) % 113.77/114.09 (define @t130 () (not (tptp.memberP @t10 @t39))) % 113.77/114.09 (define @t131 () (tptp.cons @t39 tptp.nil)) % 113.77/114.09 (define @t132 () (not (= @t131 @t12))) % 113.77/114.09 (define @t133 () (or @t132 @t130 @t129)) % 113.77/114.09 (define @t134 () (tptp.ssItem @t39)) % 113.77/114.09 (define @t135 () (=> @t134 @t133)) % 113.77/114.09 (define @t136 () (forall @t44 @t135)) % 113.77/114.09 (define @t137 () (and @t136 @t122)) % 113.77/114.09 (define @t138 () (not (= @t2 @t12))) % 113.77/114.09 (define @t139 () (not (= @t1 @t10))) % 113.77/114.09 (define @t140 () (or @t139 @t138 @t137 @t119)) % 113.77/114.09 (define @t141 () (=> @t14 @t140)) % 113.77/114.09 (define @t142 () (forall @t16 @t141)) % 113.77/114.09 (define @t143 () (=> @t18 @t142)) % 113.77/114.09 (define @t144 () (forall @t20 @t143)) % 113.77/114.09 (define @t145 () (=> @t32 @t144)) % 113.77/114.09 (define @t146 () (forall @t7 @t145)) % 113.77/114.09 (define @t147 () (=> @t26 @t146)) % 113.77/114.09 (define @t148 () (forall @t9 @t147)) % 113.77/114.09 (define @t149 () (not @t148)) % 113.77/114.09 (define @t150 () (= @t2 tptp.nil)) % 113.77/114.09 (define @t151 () (not @t150)) % 113.77/114.09 (define @t152 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 113.77/114.09 (define @t153 () (not (= @t152 tptp.nil))) % 113.77/114.09 (define @t154 () (or @t153 @t151)) % 113.77/114.09 (define @t155 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 113.77/114.09 (define @t156 () (not @t127)) % 113.77/114.09 (define @t157 () (or (not (tptp.ssItem @t155)) (not (= @t2 (tptp.cons @t155 tptp.nil))) (not (tptp.memberP @t152 @t155)) (not (forall @t42 (or @t156 (= @t38 @t155) (not (tptp.memberP @t152 @t38)) (not (tptp.leq @t155 @t38))))))) % 113.77/114.09 (define @t158 () (and @t157 @t154)) % 113.77/114.09 (define @t159 () (not @t109)) % 113.77/114.09 (define @t160 () (not @t111)) % 113.77/114.09 (define @t161 () (not @t112)) % 113.77/114.09 (define @t162 () (or (not (tptp.neq @t152 tptp.nil)) (not (forall @t114 (or @t161 @t160 (not (tptp.segmentP @t152 @t108)) @t159))))) % 113.77/114.09 (define @t163 () (or @t153 @t150)) % 113.77/114.09 (define @t164 () (and @t163 @t162)) % 113.77/114.09 (define @t165 () (not (tptp.ssList @t152))) % 113.77/114.09 (define @t166 () (not @t26)) % 113.77/114.09 (define @t167 () (or @t166 @t165 @t164 @t158)) % 113.77/114.09 (define @t168 () (or @t165 @t164 @t158)) % 113.77/114.09 (define @t169 () (or @t166 @t168)) % 113.77/114.09 (define @t170 () (@list @t2 @t152 @t155)) % 113.77/114.09 (define @t171 () (forall @t170 @t169)) % 113.77/114.09 (define @t172 () (@list @t152 @t155)) % 113.77/114.09 (define @t173 () (forall @t172 @t169)) % 113.77/114.09 (define @t174 () (forall @t172 @t168)) % 113.77/114.09 (define @t175 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 113.77/114.09 (define @t176 () (or @t166 @t174)) % 113.77/114.09 (define @t177 () (not (= @t1 tptp.nil))) % 113.77/114.09 (define @t178 () (or @t177 @t151)) % 113.77/114.09 (define @t179 () (not (tptp.memberP @t1 @t38))) % 113.77/114.09 (define @t180 () (or (not (tptp.ssItem @t175)) (not (= @t2 (tptp.cons @t175 tptp.nil))) (not (tptp.memberP @t1 @t175)) (not (forall @t42 (or @t156 (= @t38 @t175) @t179 (not (tptp.leq @t175 @t38))))))) % 113.77/114.09 (define @t181 () (and @t180 @t178)) % 113.77/114.09 (define @t182 () (not @t110)) % 113.77/114.09 (define @t183 () (or @t161 @t160 @t182 @t159)) % 113.77/114.09 (define @t184 () (and (or @t177 @t150) (or @t116 (not (forall @t114 @t183))))) % 113.77/114.09 (define @t185 () (not @t32)) % 113.77/114.09 (define @t186 () (or @t185 @t184 @t181)) % 113.77/114.09 (define @t187 () (forall (@list @t1 @t175) @t186)) % 113.77/114.09 (define @t188 () (or @t166 @t187)) % 113.77/114.09 (define @t189 () (@list @t175)) % 113.77/114.09 (define @t190 () (forall @t189 @t186)) % 113.77/114.09 (define @t191 () (forall @t189 @t178)) % 113.77/114.09 (define @t192 () (forall @t189 @t180)) % 113.77/114.09 (define @t193 () (@var "BOUND_VARIABLE_11101" $$unsorted)) % 113.77/114.09 (define @t194 () (@list @t193)) % 113.77/114.09 (define @t195 () (and @t192 @t191)) % 113.77/114.09 (define @t196 () (forall @t189 @t181)) % 113.77/114.09 (define @t197 () (or @t185 @t184 @t196)) % 113.77/114.09 (define @t198 () (and (forall (@list @t193) (or (not (tptp.ssItem @t193)) (not (= @t2 (tptp.cons @t193 tptp.nil))) (not (tptp.memberP @t1 @t193)) (not (forall @t42 (or @t156 (= @t38 @t193) @t179 (not (tptp.leq @t193 @t38))))))) @t178)) % 113.77/114.09 (define @t199 () (or @t185 @t184 @t198)) % 113.77/114.09 (define @t200 () (forall @t7 @t199)) % 113.77/114.09 (define @t201 () (or @t166 @t200)) % 113.77/114.09 (define @t202 () (or @t166 @t199)) % 113.77/114.09 (define @t203 () (or @t185 @t184 @t166 @t198)) % 113.77/114.09 (define @t204 () (or @t184 @t185 @t166 @t198)) % 113.77/114.09 (define @t205 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 113.77/114.09 (define @t206 () (@list @t205)) % 113.77/114.09 (define @t207 () (forall @t206 @t178)) % 113.77/114.09 (define @t208 () (not (forall @t42 (or @t156 (= @t38 @t205) @t179 (not (tptp.leq @t205 @t38)))))) % 113.77/114.09 (define @t209 () (not (tptp.memberP @t1 @t205))) % 113.77/114.09 (define @t210 () (tptp.cons @t205 tptp.nil)) % 113.77/114.09 (define @t211 () (not (tptp.ssItem @t205))) % 113.77/114.09 (define @t212 () (or @t211 (not (= @t2 @t210)) @t209 @t208)) % 113.77/114.09 (define @t213 () (forall @t206 @t212)) % 113.77/114.09 (define @t214 () (@list @t205)) % 113.77/114.09 (define @t215 () (and @t213 @t207)) % 113.77/114.09 (define @t216 () (and @t212 @t178)) % 113.77/114.09 (define @t217 () (forall @t206 @t216)) % 113.77/114.09 (define @t218 () (or @t166 @t217)) % 113.77/114.09 (define @t219 () (or @t166 @t216)) % 113.77/114.09 (define @t220 () (not (= @t2 @t2))) % 113.77/114.09 (define @t221 () (or @t166 @t220 @t216)) % 113.77/114.09 (define @t222 () (not (= @t12 tptp.nil))) % 113.77/114.09 (define @t223 () (or @t177 @t222)) % 113.77/114.09 (define @t224 () (or @t211 (not (= @t12 @t210)) @t209 @t208)) % 113.77/114.09 (define @t225 () (and @t224 @t223)) % 113.77/114.09 (define @t226 () (not @t18)) % 113.77/114.09 (define @t227 () (or @t138 @t226 @t138 @t225)) % 113.77/114.09 (define @t228 () (or @t226 @t138 @t225)) % 113.77/114.09 (define @t229 () (forall @t20 @t228)) % 113.77/114.09 (define @t230 () (forall @t206 @t229)) % 113.77/114.09 (define @t231 () (forall (@list @t205 @t12) @t228)) % 113.77/114.09 (define @t232 () (forall (@list @t12 @t205) @t228)) % 113.77/114.09 (define @t233 () (forall @t206 @t228)) % 113.77/114.09 (define @t234 () (forall @t206 @t223)) % 113.77/114.09 (define @t235 () (forall @t206 @t224)) % 113.77/114.09 (define @t236 () (@var "BOUND_VARIABLE_11035" $$unsorted)) % 113.77/114.09 (define @t237 () (@list @t236)) % 113.77/114.09 (define @t238 () (and @t235 @t234)) % 113.77/114.09 (define @t239 () (forall @t206 @t225)) % 113.77/114.09 (define @t240 () (or @t226 @t138 @t239)) % 113.77/114.09 (define @t241 () (and (forall (@list @t236) (or (not (tptp.ssItem @t236)) (not (= @t12 (tptp.cons @t236 tptp.nil))) (not (tptp.memberP @t1 @t236)) (not (forall @t42 (or @t156 (= @t38 @t236) @t179 (not (tptp.leq @t236 @t38))))))) @t223)) % 113.77/114.09 (define @t242 () (or @t226 @t138 @t241)) % 113.77/114.09 (define @t243 () (forall @t20 @t242)) % 113.77/114.09 (define @t244 () (or @t184 @t185 @t243)) % 113.77/114.09 (define @t245 () (or @t184 @t185 @t242)) % 113.77/114.09 (define @t246 () (or @t226 @t138 @t184 @t185 @t241)) % 113.77/114.09 (define @t247 () (or @t138 @t184 @t185 @t241)) % 113.77/114.09 (define @t248 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 113.77/114.09 (define @t249 () (@list @t248)) % 113.77/114.09 (define @t250 () (forall @t249 @t223)) % 113.77/114.09 (define @t251 () (not (tptp.leq @t248 @t38))) % 113.77/114.09 (define @t252 () (= @t38 @t248)) % 113.77/114.09 (define @t253 () (not (= @t12 (tptp.cons @t248 tptp.nil)))) % 113.77/114.09 (define @t254 () (not (tptp.ssItem @t248))) % 113.77/114.09 (define @t255 () (or @t254 @t253 (not (tptp.memberP @t1 @t248)) (not (forall @t42 (or @t156 @t252 @t179 @t251))))) % 113.77/114.09 (define @t256 () (forall @t249 @t255)) % 113.77/114.09 (define @t257 () (@list @t248)) % 113.77/114.09 (define @t258 () (and @t256 @t250)) % 113.77/114.09 (define @t259 () (and @t255 @t223)) % 113.77/114.09 (define @t260 () (forall @t249 @t259)) % 113.77/114.09 (define @t261 () (or @t185 @t260)) % 113.77/114.09 (define @t262 () (or @t185 @t259)) % 113.77/114.09 (define @t263 () (not (= @t1 @t1))) % 113.77/114.09 (define @t264 () (or @t185 @t263 @t259)) % 113.77/114.09 (define @t265 () (or (not (= @t10 tptp.nil)) @t222)) % 113.77/114.09 (define @t266 () (not @t124)) % 113.77/114.09 (define @t267 () (not (tptp.memberP @t10 @t248))) % 113.77/114.09 (define @t268 () (and (or @t254 @t253 @t267 (not (forall @t42 (or @t156 @t252 @t266 @t251)))) @t265)) % 113.77/114.09 (define @t269 () (not @t14)) % 113.77/114.09 (define @t270 () (or @t139 @t269 @t139 @t268)) % 113.77/114.09 (define @t271 () (or @t269 @t139 @t268)) % 113.77/114.09 (define @t272 () (forall @t16 @t271)) % 113.77/114.09 (define @t273 () (forall @t249 @t272)) % 113.77/114.09 (define @t274 () (forall (@list @t248 @t10) @t271)) % 113.77/114.09 (define @t275 () (@list @t10 @t248)) % 113.77/114.09 (define @t276 () (or @t156 (= @t248 @t38) @t266 @t251)) % 113.77/114.09 (define @t277 () (forall @t42 @t276)) % 113.77/114.09 (define @t278 () (not @t277)) % 113.77/114.09 (define @t279 () (or @t254 @t253 @t267 @t278)) % 113.77/114.09 (define @t280 () (and @t279 @t265)) % 113.77/114.09 (define @t281 () (or @t269 @t139 @t280)) % 113.77/114.09 (define @t282 () (forall @t275 @t281)) % 113.77/114.09 (define @t283 () (forall @t249 @t281)) % 113.77/114.09 (define @t284 () (forall @t249 @t265)) % 113.77/114.09 (define @t285 () (forall @t249 @t279)) % 113.77/114.09 (define @t286 () (and @t285 @t284)) % 113.77/114.09 (define @t287 () (forall @t249 @t280)) % 113.77/114.09 (define @t288 () (or @t269 @t139 @t287)) % 113.77/114.09 (define @t289 () (not @t123)) % 113.77/114.09 (define @t290 () (not (forall @t42 (or @t156 @t125 @t266 @t289)))) % 113.77/114.09 (define @t291 () (not (= @t12 @t131))) % 113.77/114.09 (define @t292 () (not @t134)) % 113.77/114.09 (define @t293 () (or @t292 @t291 @t130 @t290)) % 113.77/114.09 (define @t294 () (and (forall @t44 @t293) @t265)) % 113.77/114.09 (define @t295 () (or @t269 @t139 @t294)) % 113.77/114.09 (define @t296 () (forall @t16 @t295)) % 113.77/114.09 (define @t297 () (or @t138 @t184 @t296)) % 113.77/114.09 (define @t298 () (or @t138 @t184 @t295)) % 113.77/114.09 (define @t299 () (or @t269 @t139 @t138 @t294 @t184)) % 113.77/114.09 (define @t300 () (or @t139 @t138 @t294 @t184)) % 113.77/114.09 (define @t301 () (forall @t114 (not @t113))) % 113.77/114.09 (define @t302 () (not @t301)) % 113.77/114.09 (define @t303 () (or @t291 @t130 @t290)) % 113.77/114.09 (define @t304 () (not @t126)) % 113.77/114.09 (define @t305 () (or @t156 @t304 @t266 @t289)) % 113.77/114.09 (define @t306 () (forall @t42 (not @t128))) % 113.77/114.09 (define @t307 () (not @t306)) % 113.77/114.09 (define @t308 () (not (= tptp.nil @t152))) % 113.77/114.09 (define @t309 () (forall @t170 (or @t166 @t165 (and (or @t308 @t150) @t162) (and @t157 (or @t308 @t151))))) % 113.77/114.09 (define @t310 () (@quantifiers_skolemize @t309 0)) % 113.77/114.09 (define @t311 () (= tptp.nil @t310)) % 113.77/114.09 (define @t312 () (not @t311)) % 113.77/114.09 (define @t313 () (@quantifiers_skolemize @t309 1)) % 113.77/114.09 (define @t314 () (= tptp.nil @t313)) % 113.77/114.09 (define @t315 () (not @t314)) % 113.77/114.09 (define @t316 () (or @t315 @t312)) % 113.77/114.09 (define @t317 () (@quantifiers_skolemize @t309 2)) % 113.77/114.09 (define @t318 () (tptp.memberP @t313 @t317)) % 113.77/114.09 (define @t319 () (not @t318)) % 113.77/114.09 (define @t320 () (tptp.cons @t317 tptp.nil)) % 113.77/114.09 (define @t321 () (= @t310 @t320)) % 113.77/114.09 (define @t322 () (not @t321)) % 113.77/114.09 (define @t323 () (tptp.ssItem @t317)) % 113.77/114.09 (define @t324 () (not @t323)) % 113.77/114.09 (define @t325 () (or @t324 @t322 @t319 (not (forall @t42 (or @t156 (= @t38 @t317) (not (tptp.memberP @t313 @t38)) (not (tptp.leq @t317 @t38))))))) % 113.77/114.09 (define @t326 () (and @t325 @t316)) % 113.77/114.09 (define @t327 () (forall @t114 (or @t161 @t160 (not (tptp.segmentP @t313 @t108)) (not (tptp.segmentP @t310 @t108))))) % 113.77/114.09 (define @t328 () (not @t327)) % 113.77/114.09 (define @t329 () (tptp.neq @t313 tptp.nil)) % 113.77/114.09 (define @t330 () (not @t329)) % 113.77/114.09 (define @t331 () (or @t330 @t328)) % 113.77/114.09 (define @t332 () (or @t315 @t311)) % 113.77/114.09 (define @t333 () (and @t332 @t331)) % 113.77/114.09 (define @t334 () (tptp.ssList @t313)) % 113.77/114.09 (define @t335 () (not @t334)) % 113.77/114.09 (define @t336 () (tptp.ssList @t310)) % 113.77/114.09 (define @t337 () (not @t336)) % 113.77/114.09 (define @t338 () (or @t337 @t335 @t333 @t326)) % 113.77/114.09 (define @t339 () (not @t338)) % 113.77/114.09 (define @t340 () (not @t309)) % 113.77/114.09 (define @t341 () (= @t310 tptp.nil)) % 113.77/114.09 (define @t342 () (not @t341)) % 113.77/114.09 (define @t343 () (or @t315 @t342)) % 113.77/114.09 (define @t344 () (and @t325 @t343)) % 113.77/114.09 (define @t345 () (or @t315 @t341)) % 113.77/114.09 (define @t346 () (and @t345 @t331)) % 113.77/114.09 (define @t347 () (or @t337 @t335 @t346 @t344)) % 113.77/114.09 (define @t348 () (not @t347)) % 113.77/114.09 (define @t349 () (@list true)) % 113.77/114.09 (define @t350 () (@list @t338)) % 113.77/114.09 (define @t351 () (tptp.memberP tptp.nil @t317)) % 113.77/114.09 (define @t352 () (not @t351)) % 113.77/114.09 (define @t353 () (or @t324 @t352)) % 113.77/114.09 (define @t354 () (and @t314 @t318)) % 113.77/114.09 (define @t355 () (not @t312)) % 113.77/114.09 (define @t356 () (@var "BOUND_VARIABLE_9122" $$unsorted)) % 113.77/114.09 (define @t357 () (= (tptp.neq @t2 @t356) (not (= @t2 @t356)))) % 113.77/114.09 (define @t358 () (not (tptp.ssList @t356))) % 113.77/114.09 (define @t359 () (or @t166 @t358 @t357)) % 113.77/114.09 (define @t360 () (or @t358 @t357)) % 113.77/114.09 (define @t361 () (or @t166 @t360)) % 113.77/114.09 (define @t362 () (@list @t2 @t356)) % 113.77/114.09 (define @t363 () (forall @t362 @t361)) % 113.77/114.09 (define @t364 () (@list @t356)) % 113.77/114.09 (define @t365 () (forall @t364 @t361)) % 113.77/114.09 (define @t366 () (forall @t364 @t360)) % 113.77/114.09 (define @t367 () (@list @t1)) % 113.77/114.09 (define @t368 () (or @t166 @t366)) % 113.77/114.09 (define @t369 () (forall @t7 (or @t185 @t5))) % 113.77/114.09 (define @t370 () (tptp.neq tptp.nil tptp.nil)) % 113.77/114.09 (define @t371 () (not (= tptp.nil tptp.nil))) % 113.77/114.09 (define @t372 () (= @t370 @t371)) % 113.77/114.09 (define @t373 () (not @t56)) % 113.77/114.09 (define @t374 () (or @t373 @t373 @t372)) % 113.77/114.09 (define @t375 () (forall @t362 @t359)) % 113.77/114.09 (define @t376 () (not @t370)) % 113.77/114.09 (define @t377 () (or @t373 @t373 @t376)) % 113.77/114.09 (define @t378 () (@list false)) % 113.77/114.09 (define @t379 () (@list @t375)) % 113.77/114.09 (define @t380 () (@list false false)) % 113.77/114.09 (define @t381 () (and @t314 @t376)) % 113.77/114.09 (define @t382 () (not @t315)) % 113.77/114.09 (define @t383 () (@list @t314)) % 113.77/114.09 (define @t384 () (@list true false)) % 113.77/114.09 (define @t385 () (@list @t310)) % 113.77/114.09 (define @t386 () (tptp.segmentP @t310 @t310)) % 113.77/114.09 (define @t387 () (not @t386)) % 113.77/114.09 (define @t388 () (tptp.segmentP @t313 @t310)) % 113.77/114.09 (define @t389 () (not @t388)) % 113.77/114.09 (define @t390 () (tptp.neq @t310 tptp.nil)) % 113.77/114.09 (define @t391 () (not @t390)) % 113.77/114.09 (define @t392 () (or @t337 @t391 @t389 @t387)) % 113.77/114.09 (define @t393 () (@var "BOUND_VARIABLE_10221" $$unsorted)) % 113.77/114.09 (define @t394 () (@var "BOUND_VARIABLE_10225" $$unsorted)) % 113.77/114.09 (define @t395 () (@var "BOUND_VARIABLE_10223" $$unsorted)) % 113.77/114.09 (define @t396 () (tptp.segmentP (tptp.app (tptp.app @t395 @t2) @t394) @t393)) % 113.77/114.09 (define @t397 () (not (tptp.ssList @t394))) % 113.77/114.09 (define @t398 () (not (tptp.ssList @t395))) % 113.77/114.09 (define @t399 () (not (tptp.segmentP @t2 @t393))) % 113.77/114.09 (define @t400 () (not (tptp.ssList @t393))) % 113.77/114.09 (define @t401 () (or @t400 @t399 @t398 @t397 @t396)) % 113.77/114.09 (define @t402 () (or @t166 @t401)) % 113.77/114.09 (define @t403 () (forall (@list @t2 @t393 @t395 @t394) @t402)) % 113.77/114.09 (define @t404 () (@list @t393 @t395 @t394)) % 113.77/114.09 (define @t405 () (forall @t404 @t402)) % 113.77/114.09 (define @t406 () (forall @t404 @t401)) % 113.77/114.09 (define @t407 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 113.77/114.09 (define @t408 () (@var "BOUND_VARIABLE_10200" $$unsorted)) % 113.77/114.09 (define @t409 () (or @t166 @t406)) % 113.77/114.09 (define @t410 () (tptp.segmentP (tptp.app (tptp.app @t408 @t2) @t407) @t1)) % 113.77/114.09 (define @t411 () (not (tptp.ssList @t407))) % 113.77/114.09 (define @t412 () (not (tptp.ssList @t408))) % 113.77/114.09 (define @t413 () (not @t35)) % 113.77/114.09 (define @t414 () (or @t185 @t413 @t412 @t411 @t410)) % 113.77/114.09 (define @t415 () (@list @t1 @t408 @t407)) % 113.77/114.09 (define @t416 () (forall @t415 @t414)) % 113.77/114.09 (define @t417 () (or @t412 @t411 @t410)) % 113.77/114.09 (define @t418 () (or @t185 @t413 @t417)) % 113.77/114.09 (define @t419 () (forall @t415 @t418)) % 113.77/114.09 (define @t420 () (@list @t408 @t407)) % 113.77/114.09 (define @t421 () (forall @t420 @t418)) % 113.77/114.09 (define @t422 () (forall @t420 @t417)) % 113.77/114.09 (define @t423 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 113.77/114.09 (define @t424 () (or @t185 @t413 @t422)) % 113.77/114.09 (define @t425 () (tptp.segmentP (tptp.app @t83 @t423) @t1)) % 113.77/114.09 (define @t426 () (not (tptp.ssList @t423))) % 113.77/114.09 (define @t427 () (or @t226 @t426 @t425)) % 113.77/114.09 (define @t428 () (@list @t12 @t423)) % 113.77/114.09 (define @t429 () (forall @t428 @t427)) % 113.77/114.09 (define @t430 () (or @t185 @t413 @t429)) % 113.77/114.09 (define @t431 () (or @t413 @t429)) % 113.77/114.09 (define @t432 () (or @t426 @t425)) % 113.77/114.09 (define @t433 () (or @t226 @t432)) % 113.77/114.09 (define @t434 () (forall @t428 @t433)) % 113.77/114.09 (define @t435 () (@list @t423)) % 113.77/114.09 (define @t436 () (forall @t435 @t433)) % 113.77/114.09 (define @t437 () (forall @t435 @t432)) % 113.77/114.09 (define @t438 () (@list @t10)) % 113.77/114.09 (define @t439 () (or @t226 @t437)) % 113.77/114.09 (define @t440 () (or @t269 @t86)) % 113.77/114.09 (define @t441 () (forall @t16 @t440)) % 113.77/114.09 (define @t442 () (or @t226 @t441)) % 113.77/114.09 (define @t443 () (forall @t20 @t442)) % 113.77/114.09 (define @t444 () (or @t413 @t443)) % 113.77/114.09 (define @t445 () (or @t413 @t442)) % 113.77/114.09 (define @t446 () (or @t226 @t413 @t441)) % 113.77/114.09 (define @t447 () (or @t413 @t441)) % 113.77/114.09 (define @t448 () (or @t413 @t440)) % 113.77/114.09 (define @t449 () (or @t269 @t413 @t86)) % 113.77/114.09 (define @t450 () (@var "BOUND_VARIABLE_8249" $$unsorted)) % 113.77/114.09 (define @t451 () (not (tptp.ssList @t450))) % 113.77/114.09 (define @t452 () (@list @t12 @t450)) % 113.77/114.09 (define @t453 () (forall @t452 (or @t226 @t451 (not (= @t313 (tptp.app @t12 (tptp.cons @t317 @t450))))))) % 113.77/114.09 (define @t454 () (@quantifiers_skolemize @t453 0)) % 113.77/114.09 (define @t455 () (@quantifiers_skolemize @t453 1)) % 113.77/114.09 (define @t456 () (tptp.cons @t317 @t455)) % 113.77/114.09 (define @t457 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 113.77/114.09 (define @t458 () (= (tptp.memberP @t2 @t457) (not (forall @t452 (or @t226 @t451 (not (= @t2 (tptp.app @t12 (tptp.cons @t457 @t450))))))))) % 113.77/114.10 (define @t459 () (not (tptp.ssItem @t457))) % 113.77/114.10 (define @t460 () (or @t459 @t458)) % 113.77/114.10 (define @t461 () (or @t166 @t460)) % 113.77/114.10 (define @t462 () (forall (@list @t2 @t457) @t461)) % 113.77/114.10 (define @t463 () (@list @t457)) % 113.77/114.10 (define @t464 () (forall @t463 @t461)) % 113.77/114.10 (define @t465 () (forall @t463 @t460)) % 113.77/114.10 (define @t466 () (or @t166 @t465)) % 113.77/114.10 (define @t467 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t450))))) % 113.77/114.10 (define @t468 () (or @t226 @t451 @t467)) % 113.77/114.10 (define @t469 () (= @t22 (not (forall @t452 @t468)))) % 113.77/114.10 (define @t470 () (not @t6)) % 113.77/114.10 (define @t471 () (forall @t7 (or @t470 @t469))) % 113.77/114.10 (define @t472 () (or @t451 @t467)) % 113.77/114.10 (define @t473 () (or @t226 @t472)) % 113.77/114.10 (define @t474 () (forall @t452 @t473)) % 113.77/114.10 (define @t475 () (@list @t450)) % 113.77/114.10 (define @t476 () (forall @t475 @t473)) % 113.77/114.10 (define @t477 () (forall @t475 @t472)) % 113.77/114.10 (define @t478 () (or @t226 @t477)) % 113.77/114.10 (define @t479 () (= @t2 @t13)) % 113.77/114.10 (define @t480 () (forall @t16 (or @t269 (not @t479)))) % 113.77/114.10 (define @t481 () (not @t480)) % 113.77/114.10 (define @t482 () (and @t18 @t481)) % 113.77/114.10 (define @t483 () (forall @t20 (not @t482))) % 113.77/114.10 (define @t484 () (not @t483)) % 113.77/114.10 (define @t485 () (and @t14 @t479)) % 113.77/114.10 (define @t486 () (forall @t16 (not @t485))) % 113.77/114.10 (define @t487 () (not @t486)) % 113.77/114.10 (define @t488 () (@list @t325)) % 113.77/114.10 (define @t489 () (not @t453)) % 113.77/114.10 (define @t490 () (= @t318 @t489)) % 113.77/114.10 (define @t491 () (or @t335 @t324 @t490)) % 113.77/114.10 (define @t492 () (@list false false false)) % 113.77/114.10 (define @t493 () (tptp.app @t454 @t456)) % 113.77/114.10 (define @t494 () (= @t313 @t493)) % 113.77/114.10 (define @t495 () (not @t494)) % 113.77/114.10 (define @t496 () (tptp.ssList @t455)) % 113.77/114.10 (define @t497 () (not @t496)) % 113.77/114.10 (define @t498 () (tptp.ssList @t454)) % 113.77/114.10 (define @t499 () (not @t498)) % 113.77/114.10 (define @t500 () (or @t499 @t497 @t495)) % 113.77/114.10 (define @t501 () (not @t500)) % 113.77/114.10 (define @t502 () (@list @t500)) % 113.77/114.10 (define @t503 () (or @t337 @t386)) % 113.77/114.10 (define @t504 () (tptp.app tptp.nil @t310)) % 113.77/114.10 (define @t505 () (tptp.segmentP (tptp.app @t504 @t455) @t310)) % 113.77/114.10 (define @t506 () (or @t337 @t337 @t387 @t373 @t497 @t505)) % 113.77/114.10 (define @t507 () (@var "BOUND_VARIABLE_10546" $$unsorted)) % 113.77/114.10 (define @t508 () (= (tptp.cons @t507 @t2) (tptp.app (tptp.cons @t507 tptp.nil) @t2))) % 113.77/114.10 (define @t509 () (not (tptp.ssItem @t507))) % 113.77/114.10 (define @t510 () (or @t509 @t508)) % 113.77/114.10 (define @t511 () (or @t166 @t510)) % 113.77/114.10 (define @t512 () (forall (@list @t2 @t507) @t511)) % 113.77/114.10 (define @t513 () (@list @t507)) % 113.77/114.10 (define @t514 () (forall @t513 @t511)) % 113.77/114.10 (define @t515 () (forall @t513 @t510)) % 113.77/114.10 (define @t516 () (or @t166 @t515)) % 113.77/114.10 (define @t517 () (forall @t7 (or @t470 @t101))) % 113.77/114.10 (define @t518 () (@list @t455 @t317)) % 113.77/114.10 (define @t519 () (tptp.app @t320 @t455)) % 113.77/114.10 (define @t520 () (= @t456 @t519)) % 113.77/114.10 (define @t521 () (or @t497 @t324 @t520)) % 113.77/114.10 (define @t522 () (= @t2 @t70)) % 113.77/114.10 (define @t523 () (= @t310 @t504)) % 113.77/114.10 (define @t524 () (or @t337 @t523)) % 113.77/114.10 (define @t525 () (tptp.segmentP @t456 @t310)) % 113.77/114.10 (define @t526 () (and @t321 @t523 @t520 @t505)) % 113.77/114.10 (define @t527 () (@list false false false false)) % 113.77/114.10 (define @t528 () (@var "BOUND_VARIABLE_9143" $$unsorted)) % 113.77/114.10 (define @t529 () (tptp.ssList (tptp.cons @t528 @t2))) % 113.77/114.10 (define @t530 () (not (tptp.ssItem @t528))) % 113.77/114.10 (define @t531 () (or @t530 @t529)) % 113.77/114.10 (define @t532 () (or @t166 @t531)) % 113.77/114.10 (define @t533 () (forall (@list @t2 @t528) @t532)) % 113.77/114.10 (define @t534 () (@list @t528)) % 113.77/114.10 (define @t535 () (forall @t534 @t532)) % 113.77/114.10 (define @t536 () (forall @t534 @t531)) % 113.77/114.10 (define @t537 () (or @t166 @t536)) % 113.77/114.10 (define @t538 () (forall @t7 (or @t470 @t52))) % 113.77/114.10 (define @t539 () (tptp.ssList @t456)) % 113.77/114.10 (define @t540 () (or @t497 @t324 @t539)) % 113.77/114.10 (define @t541 () (tptp.segmentP (tptp.app @t493 tptp.nil) @t310)) % 113.77/114.10 (define @t542 () (not @t525)) % 113.77/114.10 (define @t543 () (not @t539)) % 113.77/114.10 (define @t544 () (or @t543 @t337 @t542 @t499 @t373 @t541)) % 113.77/114.10 (define @t545 () (= @t2 @t105)) % 113.77/114.10 (define @t546 () (tptp.app @t313 tptp.nil)) % 113.77/114.10 (define @t547 () (= @t313 @t546)) % 113.77/114.10 (define @t548 () (or @t335 @t547)) % 113.77/114.10 (define @t549 () (and @t547 @t494 @t541)) % 113.77/114.10 (define @t550 () (@var "BOUND_VARIABLE_9166" $$unsorted)) % 113.77/114.10 (define @t551 () (not (= @t2 (tptp.cons @t550 @t2)))) % 113.77/114.10 (define @t552 () (not (tptp.ssItem @t550))) % 113.77/114.10 (define @t553 () (or @t552 @t551)) % 113.77/114.10 (define @t554 () (or @t166 @t553)) % 113.77/114.10 (define @t555 () (forall (@list @t2 @t550) @t554)) % 113.77/114.10 (define @t556 () (@list @t550)) % 113.77/114.10 (define @t557 () (forall @t556 @t554)) % 113.77/114.10 (define @t558 () (forall @t556 @t553)) % 113.77/114.10 (define @t559 () (or @t166 @t558)) % 113.77/114.10 (define @t560 () (not (= @t2 @t51))) % 113.77/114.10 (define @t561 () (forall @t7 (or @t470 @t560))) % 113.77/114.10 (define @t562 () (= tptp.nil @t320)) % 113.77/114.10 (define @t563 () (not @t562)) % 113.77/114.10 (define @t564 () (or @t373 @t324 @t563)) % 113.77/114.10 (define @t565 () (and @t321 @t563)) % 113.77/114.10 (define @t566 () (= @t312 @t390)) % 113.77/114.10 (define @t567 () (not @t566)) % 113.77/114.10 (define @t568 () (or @t337 @t373 (= @t390 @t342))) % 113.77/114.10 (define @t569 () (or @t337 @t373 @t566)) % 113.77/114.10 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 113.77/114.10 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 113.77/114.10 (assume @p3 @t28) % 113.77/114.10 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 113.77/114.10 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 113.77/114.10 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 113.77/114.10 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 113.77/114.10 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 113.77/114.10 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 113.77/114.10 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 113.77/114.10 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 113.77/114.10 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 113.77/114.10 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 113.77/114.10 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 113.77/114.10 (assume @p15 @t50) % 113.77/114.10 (assume @p16 @t55) % 113.77/114.10 (assume @p17 @t56) % 113.77/114.10 (assume @p18 @t61) % 113.77/114.10 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 113.77/114.10 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 113.77/114.10 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 113.77/114.10 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 113.77/114.10 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 113.77/114.10 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 113.77/114.10 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 113.77/114.10 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 113.77/114.10 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 113.77/114.10 (assume @p28 @t72) % 113.77/114.10 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 113.77/114.10 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 113.77/114.10 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 113.77/114.10 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 113.77/114.10 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 113.77/114.10 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 113.77/114.10 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 113.77/114.10 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 113.77/114.10 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 113.77/114.10 (assume @p38 @t82) % 113.77/114.10 (assume @p39 (not (tptp.singletonP tptp.nil))) % 113.77/114.10 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 113.77/114.10 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 113.77/114.10 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 113.77/114.10 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 113.77/114.10 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 113.77/114.10 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 113.77/114.10 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 113.77/114.10 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 113.77/114.10 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 113.77/114.10 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 113.77/114.10 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t83 @t1))))))))) % 113.77/114.10 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 113.77/114.10 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 113.77/114.10 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 113.77/114.10 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 113.77/114.10 (assume @p55 @t85) % 113.77/114.10 (assume @p56 @t94) % 113.77/114.10 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 113.77/114.10 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 113.77/114.10 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 113.77/114.10 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 113.77/114.10 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 113.77/114.10 (assume @p62 (tptp.totalorderP tptp.nil)) % 113.77/114.10 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 113.77/114.10 (assume @p64 (tptp.strictorderP tptp.nil)) % 113.77/114.10 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 113.77/114.10 (assume @p66 (tptp.totalorderedP tptp.nil)) % 113.77/114.10 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 113.77/114.10 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 113.77/114.10 (assume @p69 (tptp.strictorderedP tptp.nil)) % 113.77/114.10 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 113.77/114.10 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 113.77/114.10 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 113.77/114.10 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 113.77/114.10 (assume @p74 (tptp.equalelemsP tptp.nil)) % 113.77/114.10 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 113.77/114.10 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 113.77/114.10 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t98 @t66 (= @t96 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 113.77/114.10 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 113.77/114.10 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t100)))))))) % 113.77/114.10 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t100)))))))) % 113.77/114.10 (assume @p81 @t104) % 113.77/114.10 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 113.77/114.10 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t97 @t64))))))) % 113.77/114.10 (assume @p84 @t107) % 113.77/114.10 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 113.77/114.10 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 113.77/114.10 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 113.77/114.10 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 113.77/114.10 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 113.77/114.10 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 113.77/114.10 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 113.77/114.10 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 113.77/114.10 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 113.77/114.10 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 113.77/114.10 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 113.77/114.10 (assume @p96 @t149) % 113.77/114.10 (assume @p97 true) % 113.77/114.10 (step @p98 :rule refl :args (@t151)) % 113.77/114.10 (step @p99 :rule eq-symm :args (@t152 tptp.nil)) % 113.77/114.10 (step @p100 :rule cong :premises (@p99) :args (@t153)) % 113.77/114.10 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t154)) % 113.77/114.10 (step @p102 :rule refl :args (@t157)) % 113.77/114.10 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t158)) % 113.77/114.10 (step @p104 :rule refl :args (@t162)) % 113.77/114.10 (step @p105 :rule refl :args (@t150)) % 113.77/114.10 (step @p106 :rule nary_cong :premises (@p100 @p105) :args (@t163)) % 113.77/114.10 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t164)) % 113.77/114.10 (step @p108 :rule refl :args (@t165)) % 113.77/114.10 (step @p109 :rule refl :args (@t166)) % 113.77/114.10 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p103) :args (@t167)) % 113.77/114.10 (step @p111 :rule aci_norm :args ((= @t169 @t167))) % 113.77/114.10 (step @p112 :rule trans :premises (@p111 @p110)) % 113.77/114.10 (step @p113 :rule cong :premises (@p112) :args (@t171)) % 113.77/114.10 (step @p114 :rule quant-merge-prenex :args ((= (forall @t9 @t173) @t171))) % 113.77/114.10 (step @p115 :rule alpha_equiv :args (@t174 (@list @t152 @t155) (@list @t1 @t175))) % 113.77/114.10 (step @p116 :rule refl :args (@t166)) % 113.77/114.10 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t176)) % 113.77/114.10 (step @p118 :rule quant-miniscope-or :args ((= @t173 @t176))) % 113.77/114.10 (step @p119 :rule trans :premises (@p118 @p117)) % 113.77/114.10 (step @p120 :rule symm :premises (@p119)) % 113.77/114.10 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t188))) % 113.77/114.10 (step @p122 :rule trans :premises (@p121 @p114)) % 113.77/114.10 (step @p123 :rule trans :premises (@p122 @p113)) % 113.77/114.10 (step @p124 :rule aci_norm :args ((= (or @t166 @t188) @t188))) % 113.77/114.10 (step @p125 :rule bool-impl-elim :args (@t26 @t188)) % 113.77/114.10 (step @p126 :rule trans :premises (@p125 @p124)) % 113.77/114.10 (step @p127 :rule cong :premises (@p126) :args ((forall @t9 (=> @t26 @t188)))) % 113.77/114.10 (step @p128 :rule trans :premises (@p127 @p123)) % 113.77/114.10 (step @p129 :rule quant-merge-prenex :args ((= (forall @t7 @t190) @t187))) % 113.77/114.10 (step @p130 :rule quant-unused-vars :args ((= @t191 @t178))) % 113.77/114.10 (step @p131 :rule alpha_equiv :args (@t192 (@list @t175) @t194)) % 113.77/114.10 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t195)) % 113.77/114.10 (step @p133 :rule quant-miniscope-and :args ((= @t196 @t195))) % 113.77/114.10 (step @p134 :rule trans :premises (@p133 @p132)) % 113.77/114.10 (step @p135 :rule refl :args (@t184)) % 113.77/114.10 (step @p136 :rule refl :args (@t185)) % 113.77/114.10 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t197)) % 113.77/114.10 (step @p138 :rule quant-miniscope-or :args ((= @t190 @t197))) % 113.77/114.10 (step @p139 :rule trans :premises (@p138 @p137)) % 113.77/114.10 (step @p140 :rule symm :premises (@p139)) % 113.77/114.10 (step @p141 :rule cong :premises (@p140) :args (@t200)) % 113.77/114.10 (step @p142 :rule trans :premises (@p141 @p129)) % 113.77/114.10 (step @p143 :rule nary_cong :premises (@p109 @p142) :args (@t201)) % 113.77/114.10 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t202) @t201))) % 113.77/114.10 (step @p145 :rule aci_norm :args ((= @t203 @t202))) % 113.77/114.10 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t203))) % 113.77/114.10 (step @p147 :rule trans :premises (@p146 @p144)) % 113.77/114.10 (step @p148 :rule trans :premises (@p147 @p143)) % 113.77/114.10 (step @p149 :rule aci_norm :args ((= (or @t185 @t204) @t203))) % 113.77/114.10 (step @p150 :rule bool-impl-elim :args (@t32 @t204)) % 113.77/114.10 (step @p151 :rule trans :premises (@p150 @p149)) % 113.77/114.10 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 (=> @t32 @t204)))) % 113.77/114.10 (step @p153 :rule trans :premises (@p152 @p148)) % 113.77/114.10 (step @p154 :rule aci_norm :args ((= (or @t184 @t185 (or @t166 @t198)) @t204))) % 113.77/114.10 (step @p155 :rule quant-unused-vars :args ((= @t207 @t178))) % 113.77/114.10 (step @p156 :rule alpha_equiv :args (@t213 @t214 @t194)) % 113.77/114.10 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t215)) % 113.77/114.10 (step @p158 :rule quant-miniscope-and :args ((= @t217 @t215))) % 113.77/114.10 (step @p159 :rule trans :premises (@p158 @p157)) % 113.77/114.10 (step @p160 :rule nary_cong :premises (@p109 @p159) :args (@t218)) % 113.77/114.10 (step @p161 :rule quant-miniscope-or :args ((= (forall @t206 @t219) @t218))) % 113.77/114.10 (step @p162 :rule trans :premises (@p161 @p160)) % 113.77/114.10 (step @p163 :rule aci_norm :args ((= (or @t166 false @t216) @t219))) % 113.77/114.10 (step @p164 :rule refl :args (@t216)) % 113.77/114.10 (step @p165 :rule evaluate :args ((not true))) % 113.77/114.10 (step @p166 :rule eq-refl :args (@t2)) % 113.77/114.10 (step @p167 :rule cong :premises (@p166) :args (@t220)) % 113.77/114.10 (step @p168 :rule trans :premises (@p167 @p165)) % 113.77/114.10 (step @p169 :rule nary_cong :premises (@p109 @p168 @p164) :args (@t221)) % 113.77/114.10 (step @p170 :rule trans :premises (@p169 @p163)) % 113.77/114.10 (step @p171 :rule cong :premises (@p170) :args ((forall @t206 @t221))) % 113.77/114.10 (step @p172 :rule trans :premises (@p171 @p162)) % 113.77/114.10 (step @p173 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not @t100) @t226 @t138 @t225)) @t221))) % 113.77/114.10 (step @p174 :rule refl :args (@t225)) % 113.77/114.10 (step @p175 :rule refl :args (@t138)) % 113.77/114.10 (step @p176 :rule refl :args (@t226)) % 113.77/114.10 (step @p177 :rule eq-symm :args (@t2 @t12)) % 113.77/114.10 (step @p178 :rule cong :premises (@p177) :args (@t138)) % 113.77/114.10 (step @p179 :rule nary_cong :premises (@p178 @p176 @p175 @p174) :args (@t227)) % 113.77/114.10 (step @p180 :rule aci_norm :args ((= @t228 @t227))) % 113.77/114.10 (step @p181 :rule trans :premises (@p180 @p179)) % 113.77/114.10 (step @p182 :rule cong :premises (@p181) :args (@t229)) % 113.77/114.10 (step @p183 :rule trans :premises (@p182 @p173)) % 113.77/114.10 (step @p184 :rule cong :premises (@p183) :args (@t230)) % 113.77/114.10 (step @p185 :rule quant-merge-prenex :args ((= @t230 @t231))) % 113.77/114.10 (step @p186 :rule symm :premises (@p185)) % 113.77/114.10 (step @p187 :rule quant_var_reordering :args ((= @t232 @t231))) % 113.77/114.10 (step @p188 :rule trans :premises (@p187 @p186 @p184)) % 113.77/114.10 (step @p189 :rule trans :premises (@p188 @p172)) % 113.77/114.10 (step @p190 :rule quant-merge-prenex :args ((= (forall @t20 @t233) @t232))) % 113.77/114.10 (step @p191 :rule quant-unused-vars :args ((= @t234 @t223))) % 113.77/114.10 (step @p192 :rule alpha_equiv :args (@t235 @t214 @t237)) % 113.77/114.10 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t238)) % 113.77/114.10 (step @p194 :rule quant-miniscope-and :args ((= @t239 @t238))) % 113.77/114.10 (step @p195 :rule trans :premises (@p194 @p193)) % 113.77/114.10 (step @p196 :rule nary_cong :premises (@p176 @p175 @p195) :args (@t240)) % 113.77/114.10 (step @p197 :rule quant-miniscope-or :args ((= @t233 @t240))) % 113.77/114.10 (step @p198 :rule trans :premises (@p197 @p196)) % 113.77/114.10 (step @p199 :rule symm :premises (@p198)) % 113.77/114.10 (step @p200 :rule cong :premises (@p199) :args (@t243)) % 113.77/114.10 (step @p201 :rule trans :premises (@p200 @p190)) % 113.77/114.10 (step @p202 :rule trans :premises (@p201 @p189)) % 113.77/114.10 (step @p203 :rule refl :args (@t185)) % 113.77/114.10 (step @p204 :rule refl :args (@t184)) % 113.77/114.10 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t244)) % 113.77/114.10 (step @p206 :rule trans :premises (@p205 @p154)) % 113.77/114.10 (step @p207 :rule quant-miniscope-or :args ((= (forall @t20 @t245) @t244))) % 113.77/114.10 (step @p208 :rule aci_norm :args ((= @t246 @t245))) % 113.77/114.10 (step @p209 :rule cong :premises (@p208) :args ((forall @t20 @t246))) % 113.77/114.10 (step @p210 :rule trans :premises (@p209 @p207)) % 113.77/114.10 (step @p211 :rule trans :premises (@p210 @p206)) % 113.77/114.10 (step @p212 :rule aci_norm :args ((= (or @t226 @t247) @t246))) % 113.77/114.10 (step @p213 :rule bool-impl-elim :args (@t18 @t247)) % 113.77/114.10 (step @p214 :rule trans :premises (@p213 @p212)) % 113.77/114.10 (step @p215 :rule cong :premises (@p214) :args ((forall @t20 (=> @t18 @t247)))) % 113.77/114.10 (step @p216 :rule trans :premises (@p215 @p211)) % 113.77/114.10 (step @p217 :rule aci_norm :args ((= (or @t138 @t184 (or @t185 @t241)) @t247))) % 113.77/114.10 (step @p218 :rule quant-unused-vars :args ((= @t250 @t223))) % 113.77/114.10 (step @p219 :rule alpha_equiv :args (@t256 @t257 @t237)) % 113.77/114.10 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t258)) % 113.77/114.10 (step @p221 :rule quant-miniscope-and :args ((= @t260 @t258))) % 113.77/114.10 (step @p222 :rule trans :premises (@p221 @p220)) % 113.77/114.10 (step @p223 :rule nary_cong :premises (@p203 @p222) :args (@t261)) % 113.77/114.10 (step @p224 :rule quant-miniscope-or :args ((= (forall @t249 @t262) @t261))) % 113.77/114.10 (step @p225 :rule trans :premises (@p224 @p223)) % 113.77/114.10 (step @p226 :rule aci_norm :args ((= (or @t185 false @t259) @t262))) % 113.77/114.10 (step @p227 :rule refl :args (@t259)) % 113.77/114.10 (step @p228 :rule eq-refl :args (@t1)) % 113.77/114.10 (step @p229 :rule cong :premises (@p228) :args (@t263)) % 113.77/114.10 (step @p230 :rule trans :premises (@p229 @p165)) % 113.77/114.10 (step @p231 :rule nary_cong :premises (@p203 @p230 @p227) :args (@t264)) % 113.77/114.10 (step @p232 :rule trans :premises (@p231 @p226)) % 113.77/114.10 (step @p233 :rule cong :premises (@p232) :args ((forall @t249 @t264))) % 113.77/114.10 (step @p234 :rule trans :premises (@p233 @p225)) % 113.77/114.10 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t10 @t1)) @t269 @t139 @t268)) @t264))) % 113.77/114.10 (step @p236 :rule refl :args (@t268)) % 113.77/114.10 (step @p237 :rule refl :args (@t139)) % 113.77/114.10 (step @p238 :rule refl :args (@t269)) % 113.77/114.10 (step @p239 :rule eq-symm :args (@t1 @t10)) % 113.77/114.10 (step @p240 :rule cong :premises (@p239) :args (@t139)) % 113.77/114.10 (step @p241 :rule nary_cong :premises (@p240 @p238 @p237 @p236) :args (@t270)) % 113.77/114.10 (step @p242 :rule aci_norm :args ((= @t271 @t270))) % 113.77/114.10 (step @p243 :rule trans :premises (@p242 @p241)) % 113.77/114.10 (step @p244 :rule cong :premises (@p243) :args (@t272)) % 113.77/114.10 (step @p245 :rule trans :premises (@p244 @p235)) % 113.77/114.10 (step @p246 :rule cong :premises (@p245) :args (@t273)) % 113.77/114.10 (step @p247 :rule quant-merge-prenex :args ((= @t273 @t274))) % 113.77/114.10 (step @p248 :rule symm :premises (@p247)) % 113.77/114.10 (step @p249 :rule quant_var_reordering :args ((= (forall @t275 @t271) @t274))) % 113.77/114.10 (step @p250 :rule trans :premises (@p249 @p248 @p246)) % 113.77/114.10 (step @p251 :rule trans :premises (@p250 @p234)) % 113.77/114.10 (step @p252 :rule refl :args (@t265)) % 113.77/114.10 (step @p253 :rule refl :args (@t251)) % 113.77/114.10 (step @p254 :rule refl :args (@t266)) % 113.77/114.10 (step @p255 :rule eq-symm :args (@t248 @t38)) % 113.77/114.10 (step @p256 :rule refl :args (@t156)) % 113.77/114.10 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253) :args (@t276)) % 113.77/114.10 (step @p258 :rule cong :premises (@p257) :args (@t277)) % 113.77/114.10 (step @p259 :rule cong :premises (@p258) :args (@t278)) % 113.77/114.10 (step @p260 :rule refl :args (@t267)) % 113.77/114.10 (step @p261 :rule refl :args (@t253)) % 113.77/114.10 (step @p262 :rule refl :args (@t254)) % 113.77/114.10 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p259) :args (@t279)) % 113.77/114.10 (step @p264 :rule nary_cong :premises (@p263 @p252) :args (@t280)) % 113.77/114.10 (step @p265 :rule refl :args (@t139)) % 113.77/114.10 (step @p266 :rule refl :args (@t269)) % 113.77/114.10 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264) :args (@t281)) % 113.77/114.10 (step @p268 :rule cong :premises (@p267) :args (@t282)) % 113.77/114.10 (step @p269 :rule trans :premises (@p268 @p251)) % 113.77/114.10 (step @p270 :rule quant-merge-prenex :args ((= (forall @t16 @t283) @t282))) % 113.77/114.10 (step @p271 :rule quant-unused-vars :args ((= @t284 @t265))) % 113.77/114.10 (step @p272 :rule alpha_equiv :args (@t285 @t257 (@list @t39))) % 113.77/114.10 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t286)) % 113.77/114.10 (step @p274 :rule quant-miniscope-and :args ((= @t287 @t286))) % 113.77/114.10 (step @p275 :rule trans :premises (@p274 @p273)) % 113.77/114.10 (step @p276 :rule nary_cong :premises (@p238 @p237 @p275) :args (@t288)) % 113.77/114.10 (step @p277 :rule quant-miniscope-or :args ((= @t283 @t288))) % 113.77/114.10 (step @p278 :rule trans :premises (@p277 @p276)) % 113.77/114.10 (step @p279 :rule symm :premises (@p278)) % 113.77/114.10 (step @p280 :rule cong :premises (@p279) :args (@t296)) % 113.77/114.10 (step @p281 :rule trans :premises (@p280 @p270)) % 113.77/114.10 (step @p282 :rule trans :premises (@p281 @p269)) % 113.77/114.10 (step @p283 :rule refl :args (@t138)) % 113.77/114.10 (step @p284 :rule nary_cong :premises (@p283 @p204 @p282) :args (@t297)) % 113.77/114.10 (step @p285 :rule trans :premises (@p284 @p217)) % 113.77/114.10 (step @p286 :rule quant-miniscope-or :args ((= (forall @t16 @t298) @t297))) % 113.77/114.10 (step @p287 :rule aci_norm :args ((= @t299 @t298))) % 113.77/114.10 (step @p288 :rule cong :premises (@p287) :args ((forall @t16 @t299))) % 113.77/114.10 (step @p289 :rule trans :premises (@p288 @p286)) % 113.77/114.10 (step @p290 :rule trans :premises (@p289 @p285)) % 113.77/114.10 (step @p291 :rule aci_norm :args ((= (or @t269 @t300) @t299))) % 113.77/114.10 (step @p292 :rule bool-impl-elim :args (@t14 @t300)) % 113.77/114.10 (step @p293 :rule trans :premises (@p292 @p291)) % 113.77/114.10 (step @p294 :rule cong :premises (@p293) :args ((forall @t16 (=> @t14 @t300)))) % 113.77/114.10 (step @p295 :rule trans :premises (@p294 @p290)) % 113.77/114.10 (step @p296 :rule aci_norm :args ((= (or @t161 (or @t160 (or @t182 @t159))) @t183))) % 113.77/114.10 (step @p297 :rule bool-and-de-morgan :args (@t110 @t109 true)) % 113.77/114.10 (step @p298 :rule refl :args (@t160)) % 113.77/114.10 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t160 (not (and @t110 @t109))))) % 113.77/114.10 (step @p300 :rule bool-and-de-morgan :args (@t111 @t110 (and @t109))) % 113.77/114.10 (step @p301 :rule trans :premises (@p300 @p299)) % 113.77/114.10 (step @p302 :rule refl :args (@t161)) % 113.77/114.10 (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((or @t161 (not (and @t111 @t110 @t109))))) % 113.77/114.10 (step @p304 :rule bool-and-de-morgan :args (@t112 @t111 (and @t110 @t109))) % 113.77/114.10 (step @p305 :rule trans :premises (@p304 @p303)) % 113.77/114.10 (step @p306 :rule trans :premises (@p305 @p296)) % 113.77/114.10 (step @p307 :rule cong :premises (@p306) :args (@t301)) % 113.77/114.10 (step @p308 :rule cong :premises (@p307) :args (@t302)) % 113.77/114.10 (step @p309 :rule exists-elim :args ((= @t115 @t302))) % 113.77/114.10 (step @p310 :rule trans :premises (@p309 @p308)) % 113.77/114.10 (step @p311 :rule refl :args (@t116)) % 113.77/114.10 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t117)) % 113.77/114.10 (step @p313 :rule eq-symm :args (tptp.nil @t2)) % 113.77/114.10 (step @p314 :rule eq-symm :args (tptp.nil @t1)) % 113.77/114.10 (step @p315 :rule cong :premises (@p314) :args (@t98)) % 113.77/114.10 (step @p316 :rule nary_cong :premises (@p315 @p313) :args (@t118)) % 113.77/114.10 (step @p317 :rule nary_cong :premises (@p316 @p312) :args (@t119)) % 113.77/114.10 (step @p318 :rule eq-symm :args (tptp.nil @t12)) % 113.77/114.10 (step @p319 :rule cong :premises (@p318) :args (@t120)) % 113.77/114.10 (step @p320 :rule eq-symm :args (tptp.nil @t10)) % 113.77/114.10 (step @p321 :rule cong :premises (@p320) :args (@t121)) % 113.77/114.10 (step @p322 :rule nary_cong :premises (@p321 @p319) :args (@t122)) % 113.77/114.10 (step @p323 :rule aci_norm :args ((= (or @t292 @t303) @t293))) % 113.77/114.10 (step @p324 :rule bool-impl-elim :args (@t134 @t303)) % 113.77/114.10 (step @p325 :rule trans :premises (@p324 @p323)) % 113.77/114.10 (step @p326 :rule cong :premises (@p325) :args ((forall @t44 (=> @t134 @t303)))) % 113.77/114.10 (step @p327 :rule refl :args (@t289)) % 113.77/114.10 (step @p328 :rule refl :args (@t266)) % 113.77/114.10 (step @p329 :rule bool-double-not-elim :args (@t125)) % 113.77/114.10 (step @p330 :rule refl :args (@t156)) % 113.77/114.10 (step @p331 :rule nary_cong :premises (@p330 @p329 @p328 @p327) :args (@t305)) % 113.77/114.10 (step @p332 :rule aci_norm :args ((= (or @t156 (or @t304 (or @t266 @t289))) @t305))) % 113.77/114.10 (step @p333 :rule trans :premises (@p332 @p331)) % 113.77/114.10 (step @p334 :rule bool-and-de-morgan :args (@t124 @t123 true)) % 113.77/114.10 (step @p335 :rule refl :args (@t304)) % 113.77/114.10 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t304 (not (and @t124 @t123))))) % 113.77/114.10 (step @p337 :rule bool-and-de-morgan :args (@t126 @t124 (and @t123))) % 113.77/114.10 (step @p338 :rule trans :premises (@p337 @p336)) % 113.77/114.10 (step @p339 :rule nary_cong :premises (@p330 @p338) :args ((or @t156 (not (and @t126 @t124 @t123))))) % 113.77/114.10 (step @p340 :rule bool-and-de-morgan :args (@t127 @t126 (and @t124 @t123))) % 113.77/114.10 (step @p341 :rule trans :premises (@p340 @p339)) % 113.77/114.10 (step @p342 :rule trans :premises (@p341 @p333)) % 113.77/114.10 (step @p343 :rule cong :premises (@p342) :args (@t306)) % 113.77/114.10 (step @p344 :rule cong :premises (@p343) :args (@t307)) % 113.77/114.10 (step @p345 :rule exists-elim :args ((= @t129 @t307))) % 113.77/114.10 (step @p346 :rule trans :premises (@p345 @p344)) % 113.77/114.10 (step @p347 :rule refl :args (@t130)) % 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@p1001 @t520) % 113.77/114.10 (step @p786 :rule true_intro :premises (@p997)) % 113.77/114.10 (step @p787 :rule refl :args (@t310)) % 113.77/114.10 (step @p788 :rule refl :args (@t455)) % 113.77/114.10 (step @p789 :rule cong :premises (@p771 @p788) :args ((tptp.app @t310 @t455))) % 113.77/114.10 (step @p790 :rule symm :premises (@p994)) % 113.77/114.10 (step @p791 :rule cong :premises (@p790 @p788) :args (@t519)) % 113.77/114.10 (step @p792 :rule trans :premises (@p996 @p791 @p789)) % 113.77/114.10 (step @p793 :rule cong :premises (@p792 @p787) :args (@t525)) % 113.77/114.10 (step @p794 :rule trans :premises (@p793 @p786)) % 113.77/114.10 (step @p795 :rule true_elim :premises (@p794)) % 113.77/114.10 (step-pop @p1002 :rule scope :premises (@p795)) % 113.77/114.10 (step-pop @p1003 :rule scope :premises (@p1002)) % 113.77/114.10 (step-pop @p1004 :rule scope :premises (@p1003)) % 113.77/114.10 (step-pop @p1005 :rule scope :premises (@p1004)) % 113.77/114.10 (step @p796 :rule process_scope :premises (@p1005) :args (@t525)) % 113.77/114.10 (step @p801 :rule and_intro :premises (@p997 @p771 @p994 @p996)) % 113.77/114.10 (step @p802 :rule modus_ponens :premises (@p801 @p796)) % 113.77/114.10 (step-pop @p1006 :rule scope :premises (@p802)) % 113.77/114.10 (step-pop @p1007 :rule scope :premises (@p1006)) % 113.77/114.10 (step-pop @p1008 :rule scope :premises (@p1007)) % 113.77/114.10 (step-pop @p1009 :rule scope :premises (@p1008)) % 113.77/114.10 (step @p803 :rule process_scope :premises (@p1009) :args (@t525)) % 113.77/114.10 (step @p808 :rule implies_elim :premises (@p803)) % 113.77/114.10 (step @p809 :rule cnf_and_neg :args (@t526)) % 113.77/114.10 (step @p810 :rule resolution :premises (@p809 @p808) :args (true @t526)) % 113.77/114.10 (step @p811 :rule reordering :premises (@p810) :args ((or @t322 (not @t523) @t525 (not @t520) (not @t505)))) % 113.77/114.10 (step @p812 :rule chain_m_resolution :premises (@p811 @p777 @p771 @p760 @p736) :args (@t525 @t527 (@list @t321 @t523 @t520 @t505))) % 113.77/114.10 (step @p813 :rule aci_norm :args ((= @t532 (or @t166 @t530 @t529)))) % 113.77/114.10 (step @p814 :rule cong :premises (@p813) :args (@t533)) % 113.77/114.10 (step @p815 :rule quant-merge-prenex :args ((= (forall @t9 @t535) @t533))) % 113.77/114.10 (step @p816 :rule alpha_equiv :args (@t536 (@list @t528) @t367)) % 113.77/114.10 (step @p817 :rule nary_cong :premises (@p116 @p816) :args (@t537)) % 113.77/114.10 (step @p818 :rule quant-miniscope-or :args ((= @t535 @t537))) % 113.77/114.10 (step @p819 :rule trans :premises (@p818 @p817)) % 113.77/114.10 (step @p820 :rule symm :premises (@p819)) % 113.77/114.10 (step @p821 :rule cong :premises (@p820) :args ((forall @t9 (or @t166 @t538)))) % 113.77/114.10 (step @p822 :rule trans :premises (@p821 @p815)) % 113.77/114.10 (step @p823 :rule trans :premises (@p822 @p814)) % 113.77/114.10 (step @p824 :rule bool-impl-elim :args (@t26 @t538)) % 113.77/114.10 (step @p825 :rule cong :premises (@p824) :args ((forall @t9 (=> @t26 @t538)))) % 113.77/114.10 (step @p826 :rule trans :premises (@p825 @p823)) % 113.77/114.10 (step @p827 :rule bool-impl-elim :args (@t6 @t52)) % 113.77/114.10 (step @p828 :rule cong :premises (@p827) :args (@t53)) % 113.77/114.10 (step @p829 :rule cong :premises (@p369 @p828) :args (@t54)) % 113.77/114.10 (step @p830 :rule cong :premises (@p829) :args (@t55)) % 113.77/114.10 (step @p831 :rule trans :premises (@p830 @p826)) % 113.77/114.10 (step @p832 :rule eq_resolve :premises (@p16 @p831)) % 113.77/114.10 (step @p833 :rule instantiate :premises (@p832) :args (@t518)) % 113.77/114.10 (step @p834 :rule cnf_or_pos :args (@t540)) % 113.77/114.10 (step @p835 :rule reordering :premises (@p834) :args ((or @t324 @t497 @t539 (not @t540)))) % 113.77/114.10 (step @p836 :rule chain_m_resolution :premises (@p835 @p695 @p725 @p833) :args (@t539 @t492 (@list @t323 @t496 @t540))) % 113.77/114.10 (step @p837 :rule bool-double-not-elim :args (@t498)) % 113.77/114.10 (step @p838 :rule nary_cong :premises (@p720 @p837) :args ((or @t500 (not @t499)))) % 113.77/114.10 (step @p839 :rule cnf_or_neg :args (@t500 0)) % 113.77/114.10 (step @p840 :rule eq_resolve :premises (@p839 @p838)) % 113.77/114.10 (step @p841 :rule reordering :premises (@p840) :args ((or @t498 @t500))) % 113.77/114.10 (step @p842 :rule chain_m_resolution :premises (@p841 @p718) :args (@t498 @t349 @t502)) % 113.77/114.10 (step @p843 :rule cnf_or_pos :args (@t544)) % 113.77/114.10 (step @p844 :rule reordering :premises (@p843) :args ((or @t373 @t337 @t499 @t543 @t542 @t541 (not @t544)))) % 113.77/114.10 (step @p845 :rule chain_m_resolution :premises (@p844 @p17 @p407 @p842 @p836 @p812 @p628) :args (@t541 (@list false false false false false false) (@list @t56 @t336 @t498 @t539 @t525 @t544))) % 113.77/114.10 (step @p846 :rule bool-double-not-elim :args (@t494)) % 113.77/114.10 (step @p847 :rule nary_cong :premises (@p720 @p846) :args ((or @t500 (not @t495)))) % 113.77/114.10 (step @p848 :rule cnf_or_neg :args (@t500 2)) % 113.77/114.10 (step @p849 :rule eq_resolve :premises (@p848 @p847)) % 113.77/114.10 (step @p850 :rule reordering :premises (@p849) :args ((or @t494 @t500))) % 113.77/114.10 (step @p851 :rule chain_m_resolution :premises (@p850 @p718) :args (@t494 @t349 @t502)) % 113.77/114.10 (step @p852 :rule bool-impl-elim :args (@t26 @t545)) % 113.77/114.10 (step @p853 :rule cong :premises (@p852) :args ((forall @t9 (=> @t26 @t545)))) % 113.77/114.10 (step @p854 :rule eq-symm :args (@t105 @t2)) % 113.77/114.10 (step @p855 :rule cong :premises (@p369 @p854) :args (@t106)) % 113.77/114.10 (step @p856 :rule cong :premises (@p855) :args (@t107)) % 113.77/114.10 (step @p857 :rule trans :premises (@p856 @p853)) % 113.77/114.10 (step @p858 :rule eq_resolve :premises (@p84 @p857)) % 113.77/114.10 (step @p859 :rule instantiate :premises (@p858) :args ((@list @t313))) % 113.77/114.10 (step @p860 :rule cnf_or_pos :args (@t548)) % 113.77/114.10 (step @p861 :rule reordering :premises (@p860) :args ((or @t335 @t547 (not @t548)))) % 113.77/114.10 (step @p862 :rule chain_m_resolution :premises (@p861 @p701 @p859) :args (@t547 @t380 (@list @t334 @t548))) % 113.77/114.10 (assume-push @p1010 @t547) % 113.77/114.10 (assume-push @p1011 @t494) % 113.77/114.10 (assume-push @p1012 @t541) % 113.77/114.10 (assume-push @p1013 @t541) % 113.77/114.10 (assume-push @p1014 @t494) % 113.77/114.10 (assume-push @p1015 @t547) % 113.77/114.10 (step @p869 :rule true_intro :premises (@p1012)) % 113.77/114.10 (step @p787 :rule refl :args (@t310)) % 113.77/114.10 (step @p513 :rule refl :args (tptp.nil)) % 113.77/114.10 (step @p870 :rule cong :premises (@p1011 @p513) :args (@t546)) % 113.77/114.10 (step @p871 :rule trans :premises (@p862 @p870)) % 113.77/114.10 (step @p872 :rule cong :premises (@p871 @p787) :args (@t388)) % 113.77/114.10 (step @p873 :rule trans :premises (@p872 @p869)) % 113.77/114.10 (step @p874 :rule true_elim :premises (@p873)) % 113.77/114.10 (step-pop @p1016 :rule scope :premises (@p874)) % 113.77/114.10 (step-pop @p1017 :rule scope :premises (@p1016)) % 113.77/114.10 (step-pop @p1018 :rule scope :premises (@p1017)) % 113.77/114.10 (step @p875 :rule process_scope :premises (@p1018) :args (@t388)) % 113.77/114.10 (step @p879 :rule and_intro :premises (@p1012 @p1011 @p862)) % 113.77/114.10 (step @p880 :rule modus_ponens :premises (@p879 @p875)) % 113.77/114.10 (step-pop @p1019 :rule scope :premises (@p880)) % 113.77/114.10 (step-pop @p1020 :rule scope :premises (@p1019)) % 113.77/114.10 (step-pop @p1021 :rule scope :premises (@p1020)) % 113.77/114.10 (step @p881 :rule process_scope :premises (@p1021) :args (@t388)) % 113.77/114.10 (step @p885 :rule implies_elim :premises (@p881)) % 113.77/114.10 (step @p886 :rule cnf_and_neg :args (@t549)) % 113.77/114.10 (step @p887 :rule resolution :premises (@p886 @p885) :args (true @t549)) % 113.77/114.10 (step @p888 :rule reordering :premises (@p887) :args ((or @t388 (not @t547) @t495 (not @t541)))) % 113.77/114.10 (step @p889 :rule chain_m_resolution :premises (@p888 @p862 @p851 @p845) :args (@t388 @t492 (@list @t547 @t494 @t541))) % 113.77/114.10 (step @p890 :rule cnf_or_pos :args (@t392)) % 113.77/114.10 (step @p891 :rule reordering :premises (@p890) :args ((or @t337 @t387 @t389 @t391 (not @t392)))) % 113.77/114.10 (step @p892 :rule chain_m_resolution :premises (@p891 @p407 @p732 @p889 @p551) :args (@t391 @t527 (@list @t336 @t386 @t388 @t392))) % 113.77/114.10 (step @p893 :rule aci_norm :args ((= @t554 (or @t166 @t552 @t551)))) % 113.77/114.10 (step @p894 :rule cong :premises (@p893) :args (@t555)) % 113.77/114.10 (step @p895 :rule quant-merge-prenex :args ((= (forall @t9 @t557) @t555))) % 113.77/114.10 (step @p896 :rule alpha_equiv :args (@t558 (@list @t550) @t367)) % 113.77/114.10 (step @p897 :rule nary_cong :premises (@p116 @p896) :args (@t559)) % 113.77/114.10 (step @p898 :rule quant-miniscope-or :args ((= @t557 @t559))) % 113.77/114.10 (step @p899 :rule trans :premises (@p898 @p897)) % 113.77/114.10 (step @p900 :rule symm :premises (@p899)) % 113.77/114.10 (step @p901 :rule cong :premises (@p900) :args ((forall @t9 (or @t166 @t561)))) % 113.77/114.10 (step @p902 :rule trans :premises (@p901 @p895)) % 113.77/114.10 (step @p903 :rule trans :premises (@p902 @p894)) % 113.77/114.10 (step @p904 :rule bool-impl-elim :args (@t26 @t561)) % 113.77/114.10 (step @p905 :rule cong :premises (@p904) :args ((forall @t9 (=> @t26 @t561)))) % 113.77/114.10 (step @p906 :rule trans :premises (@p905 @p903)) % 113.77/114.10 (step @p907 :rule bool-impl-elim :args (@t6 @t560)) % 113.77/114.10 (step @p908 :rule cong :premises (@p907) :args ((forall @t7 (=> @t6 @t560)))) % 113.77/114.10 (step @p909 :rule eq-symm :args (@t51 @t2)) % 113.77/114.10 (step @p910 :rule cong :premises (@p909) :args (@t57)) % 113.77/114.10 (step @p911 :rule cong :premises (@p680 @p910) :args (@t58)) % 113.77/114.10 (step @p912 :rule cong :premises (@p911) :args (@t59)) % 113.77/114.10 (step @p913 :rule trans :premises (@p912 @p908)) % 113.77/114.10 (step @p914 :rule cong :premises (@p369 @p913) :args (@t60)) % 113.77/114.10 (step @p915 :rule cong :premises (@p914) :args (@t61)) % 113.77/114.10 (step @p916 :rule trans :premises (@p915 @p906)) % 113.77/114.10 (step @p917 :rule eq_resolve :premises (@p18 @p916)) % 113.77/114.10 (step @p918 :rule instantiate :premises (@p917) :args ((@list tptp.nil @t317))) % 113.77/114.10 (step @p919 :rule cnf_or_pos :args (@t564)) % 113.77/114.10 (step @p920 :rule reordering :premises (@p919) :args ((or @t373 @t324 @t563 (not @t564)))) % 113.77/114.10 (step @p921 :rule chain_m_resolution :premises (@p920 @p17 @p695 @p918) :args (@t563 @t492 (@list @t56 @t323 @t564))) % 113.77/114.10 (step @p922 :rule refl :args (@t312)) % 113.77/114.10 (step @p923 :rule bool-double-not-elim :args (@t562)) % 113.77/114.10 (step @p924 :rule refl :args (@t322)) % 113.77/114.10 (step @p925 :rule nary_cong :premises (@p924 @p923 @p922) :args ((or @t322 (not @t563) @t312))) % 113.77/114.10 (assume-push @p1022 @t321) % 113.77/114.10 (assume-push @p1023 @t563) % 113.77/114.10 (assume-push @p1024 @t563) % 113.77/114.10 (assume-push @p1025 @t321) % 113.77/114.10 (step @p930 :rule false_intro :premises (@p1023)) % 113.77/114.10 (step @p513 :rule refl :args (tptp.nil)) % 113.77/114.10 (step @p931 :rule cong :premises (@p513 @p1022) :args (@t311)) % 113.77/114.10 (step @p932 :rule trans :premises (@p931 @p930)) % 113.77/114.10 (step @p933 :rule false_elim :premises (@p932)) % 113.77/114.10 (step-pop @p1026 :rule scope :premises (@p933)) % 113.77/114.10 (step-pop @p1027 :rule scope :premises (@p1026)) % 113.77/114.10 (step @p934 :rule process_scope :premises (@p1027) :args (@t312)) % 113.77/114.10 (step @p937 :rule and_intro :premises (@p1023 @p1022)) % 113.77/114.10 (step @p938 :rule modus_ponens :premises (@p937 @p934)) % 113.77/114.10 (step-pop @p1028 :rule scope :premises (@p938)) % 113.77/114.10 (step-pop @p1029 :rule scope :premises (@p1028)) % 113.77/114.10 (step @p939 :rule process_scope :premises (@p1029) :args (@t312)) % 113.77/114.10 (step @p942 :rule implies_elim :premises (@p939)) % 113.77/114.10 (step @p943 :rule cnf_and_neg :args (@t565)) % 113.77/114.10 (step @p944 :rule resolution :premises (@p943 @p942) :args (true @t565)) % 113.77/114.10 (step @p945 :rule eq_resolve :premises (@p944 @p925)) % 113.77/114.10 (step @p946 :rule reordering :premises (@p945) :args ((or @t322 @t312 @t562))) % 113.77/114.10 (step @p947 :rule chain_m_resolution :premises (@p946 @p777 @p921) :args (@t312 (@list false true) (@list @t321 @t562))) % 113.77/114.10 (step @p948 :rule refl :args (@t390)) % 113.77/114.10 (step @p949 :rule refl :args (@t567)) % 113.77/114.10 (step @p950 :rule nary_cong :premises (@p949 @p448 @p948) :args ((or @t567 @t355 @t390))) % 113.77/114.10 (step @p951 :rule cnf_equiv_pos1 :args (@t566)) % 113.77/114.10 (step @p952 :rule eq_resolve :premises (@p951 @p950)) % 113.77/114.10 (step @p953 :rule reordering :premises (@p952) :args ((or @t311 @t390 @t567))) % 113.77/114.10 (step @p954 :rule chain_m_resolution :premises (@p953 @p947 @p892) :args (@t567 (@list true true) (@list @t311 @t390))) % 113.77/114.10 (step @p955 :rule cong :premises (@p379 @p948) :args ((= @t342 @t390))) % 113.77/114.10 (step @p956 :rule eq-symm :args (@t390 @t342)) % 113.77/114.10 (step @p957 :rule trans :premises (@p956 @p955)) % 113.77/114.10 (step @p958 :rule nary_cong :premises (@p388 @p490 @p957) :args (@t568)) % 113.77/114.10 (step @p959 :rule cong :premises (@p492 @p958) :args ((=> @t375 @t568))) % 113.77/114.10 (assume-push @p1030 @t375) % 113.77/114.10 (step @p961 :rule instantiate :premises (@p482) :args ((@list @t310 tptp.nil))) % 113.77/114.10 (step-pop @p1031 :rule scope :premises (@p961)) % 113.77/114.10 (step @p962 :rule process_scope :premises (@p1031) :args (@t568)) % 113.77/114.10 (step @p964 :rule eq_resolve :premises (@p962 @p959)) % 113.77/114.10 (step @p965 :rule implies_elim :premises (@p964)) % 113.77/114.10 (step @p966 :rule chain_m_resolution :premises (@p965 @p482) :args (@t569 @t378 @t379)) % 113.77/114.10 (step @p967 :rule cnf_or_pos :args (@t569)) % 113.77/114.10 (step @p968 :rule reordering :premises (@p967) :args ((or @t373 @t337 @t566 (not @t569)))) % 113.77/114.10 (step @p969 false :rule chain_m_resolution :premises (@p968 @p966 @p954 @p407 @p17) :args (false (@list false true false false) (@list @t569 @t566 @t336 @t56))) % 113.77/114.10 ) % 113.77/114.10 % SZS output end Proof % 113.77/114.10 % cvc5 exiting %------------------------------------------------------------------------------