%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC305+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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:48 AM UTC 2026 % Result : Theorem 51.96s 52.18s % Output : Proof 51.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC305+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:40:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 51.96/52.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 51.96/52.18 --- Run --no-e-matching --full-saturate-quant at 6... % 51.96/52.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 51.96/52.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 51.96/52.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 51.96/52.18 % SZS status Theorem % 51.96/52.18 % SZS output start Proof % 51.96/52.18 ( % 51.96/52.18 (declare-sort $$unsorted 0) % 51.96/52.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 51.96/52.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 51.96/52.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 51.96/52.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 51.96/52.18 (declare-const tptp.nil $$unsorted) % 51.96/52.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 51.96/52.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 51.96/52.18 (define @t1 () (@var "V" $$unsorted)) % 51.96/52.18 (define @t2 () (@var "U" $$unsorted)) % 51.96/52.18 (define @t3 () (= @t2 @t1)) % 51.96/52.18 (define @t4 () (not @t3)) % 51.96/52.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 51.96/52.18 (define @t6 () (tptp.ssItem @t1)) % 51.96/52.18 (define @t7 () (@list @t1)) % 51.96/52.18 (define @t8 () (tptp.ssItem @t2)) % 51.96/52.18 (define @t9 () (@list @t2)) % 51.96/52.18 (define @t10 () (@var "X" $$unsorted)) % 51.96/52.18 (define @t11 () (tptp.cons @t1 @t10)) % 51.96/52.18 (define @t12 () (@var "W" $$unsorted)) % 51.96/52.18 (define @t13 () (tptp.ssList @t10)) % 51.96/52.18 (define @t14 () (@list @t10)) % 51.96/52.18 (define @t15 () (tptp.ssList @t12)) % 51.96/52.18 (define @t16 () (@list @t12)) % 51.96/52.18 (define @t17 () (tptp.ssList @t2)) % 51.96/52.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 51.96/52.18 (define @t19 () (tptp.app @t1 @t12)) % 51.96/52.18 (define @t20 () (tptp.frontsegP @t2 @t1)) % 51.96/52.18 (define @t21 () (tptp.ssList @t1)) % 51.96/52.18 (define @t22 () (tptp.app @t12 @t1)) % 51.96/52.18 (define @t23 () (tptp.rearsegP @t2 @t1)) % 51.96/52.18 (define @t24 () (tptp.segmentP @t2 @t1)) % 51.96/52.18 (define @t25 () (tptp.leq @t12 @t1)) % 51.96/52.18 (define @t26 () (tptp.leq @t1 @t12)) % 51.96/52.18 (define @t27 () (@var "Z" $$unsorted)) % 51.96/52.18 (define @t28 () (@var "Y" $$unsorted)) % 51.96/52.18 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 51.96/52.18 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 51.96/52.18 (define @t31 () (= @t30 @t2)) % 51.96/52.18 (define @t32 () (tptp.ssList @t27)) % 51.96/52.18 (define @t33 () (@list @t27)) % 51.96/52.18 (define @t34 () (tptp.ssList @t28)) % 51.96/52.18 (define @t35 () (@list @t28)) % 51.96/52.18 (define @t36 () (tptp.ssItem @t12)) % 51.96/52.18 (define @t37 () (tptp.lt @t1 @t12)) % 51.96/52.18 (define @t38 () (=> @t31 @t37)) % 51.96/52.18 (define @t39 () (=> @t32 @t38)) % 51.96/52.18 (define @t40 () (forall @t33 @t39)) % 51.96/52.18 (define @t41 () (=> @t34 @t40)) % 51.96/52.18 (define @t42 () (forall @t35 @t41)) % 51.96/52.18 (define @t43 () (=> @t13 @t42)) % 51.96/52.18 (define @t44 () (forall @t14 @t43)) % 51.96/52.18 (define @t45 () (=> @t36 @t44)) % 51.96/52.18 (define @t46 () (forall @t16 @t45)) % 51.96/52.18 (define @t47 () (=> @t6 @t46)) % 51.96/52.18 (define @t48 () (forall @t7 @t47)) % 51.96/52.18 (define @t49 () (tptp.strictorderedP @t2)) % 51.96/52.18 (define @t50 () (= @t49 @t48)) % 51.96/52.18 (define @t51 () (=> @t17 @t50)) % 51.96/52.18 (define @t52 () (forall @t9 @t51)) % 51.96/52.18 (define @t53 () (= @t1 @t12)) % 51.96/52.18 (define @t54 () (tptp.cons @t1 @t2)) % 51.96/52.18 (define @t55 () (tptp.ssList @t54)) % 51.96/52.18 (define @t56 () (forall @t7 (=> @t6 @t55))) % 51.96/52.18 (define @t57 () (=> @t17 @t56)) % 51.96/52.18 (define @t58 () (forall @t9 @t57)) % 51.96/52.18 (define @t59 () (tptp.ssList tptp.nil)) % 51.96/52.18 (define @t60 () (= @t1 @t2)) % 51.96/52.18 (define @t61 () (tptp.cons @t12 @t1)) % 51.96/52.18 (define @t62 () (= tptp.nil @t2)) % 51.96/52.18 (define @t63 () (tptp.hd @t2)) % 51.96/52.18 (define @t64 () (not @t62)) % 51.96/52.18 (define @t65 () (tptp.tl @t2)) % 51.96/52.18 (define @t66 () (tptp.app @t2 @t1)) % 51.96/52.18 (define @t67 () (tptp.ssList @t66)) % 51.96/52.18 (define @t68 () (forall @t7 (=> @t21 @t67))) % 51.96/52.18 (define @t69 () (=> @t17 @t68)) % 51.96/52.18 (define @t70 () (forall @t9 @t69)) % 51.96/52.18 (define @t71 () (tptp.app @t1 @t2)) % 51.96/52.18 (define @t72 () (= (tptp.cons @t12 @t71) (tptp.app @t61 @t2))) % 51.96/52.18 (define @t73 () (forall @t16 (=> @t36 @t72))) % 51.96/52.18 (define @t74 () (=> @t21 @t73)) % 51.96/52.18 (define @t75 () (forall @t7 @t74)) % 51.96/52.18 (define @t76 () (=> @t17 @t75)) % 51.96/52.18 (define @t77 () (forall @t9 @t76)) % 51.96/52.18 (define @t78 () (tptp.app tptp.nil @t2)) % 51.96/52.18 (define @t79 () (=> @t17 (= @t78 @t2))) % 51.96/52.18 (define @t80 () (forall @t9 @t79)) % 51.96/52.18 (define @t81 () (tptp.leq @t1 @t2)) % 51.96/52.18 (define @t82 () (tptp.leq @t2 @t1)) % 51.96/52.18 (define @t83 () (tptp.geq @t2 @t1)) % 51.96/52.18 (define @t84 () (tptp.lt @t1 @t2)) % 51.96/52.18 (define @t85 () (not @t84)) % 51.96/52.18 (define @t86 () (tptp.lt @t2 @t1)) % 51.96/52.18 (define @t87 () (=> @t86 @t85)) % 51.96/52.18 (define @t88 () (forall @t7 (=> @t6 @t87))) % 51.96/52.18 (define @t89 () (=> @t8 @t88)) % 51.96/52.18 (define @t90 () (forall @t9 @t89)) % 51.96/52.18 (define @t91 () (tptp.lt @t2 @t12)) % 51.96/52.18 (define @t92 () (tptp.gt @t2 @t1)) % 51.96/52.18 (define @t93 () (tptp.memberP @t12 @t2)) % 51.96/52.18 (define @t94 () (tptp.frontsegP @t1 @t12)) % 51.96/52.18 (define @t95 () (tptp.frontsegP @t1 @t2)) % 51.96/52.18 (define @t96 () (tptp.app @t12 @t2)) % 51.96/52.18 (define @t97 () (tptp.cons @t2 tptp.nil)) % 51.96/52.18 (define @t98 () (tptp.hd @t1)) % 51.96/52.18 (define @t99 () (= tptp.nil @t1)) % 51.96/52.18 (define @t100 () (not @t99)) % 51.96/52.18 (define @t101 () (tptp.cons @t2 @t1)) % 51.96/52.18 (define @t102 () (= @t12 @t2)) % 51.96/52.18 (define @t103 () (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))) % 51.96/52.18 (define @t104 () (forall @t16 (=> @t15 @t103))) % 51.96/52.18 (define @t105 () (=> @t21 @t104)) % 51.96/52.18 (define @t106 () (forall @t7 @t105)) % 51.96/52.18 (define @t107 () (=> @t17 @t106)) % 51.96/52.18 (define @t108 () (forall @t9 @t107)) % 51.96/52.18 (define @t109 () (@var "X1" $$unsorted)) % 51.96/52.18 (define @t110 () (not (tptp.lt @t109 @t27))) % 51.96/52.18 (define @t111 () (@var "X4" $$unsorted)) % 51.96/52.18 (define @t112 () (tptp.cons @t109 tptp.nil)) % 51.96/52.18 (define @t113 () (@var "X3" $$unsorted)) % 51.96/52.18 (define @t114 () (tptp.cons @t27 tptp.nil)) % 51.96/52.18 (define @t115 () (@var "X2" $$unsorted)) % 51.96/52.18 (define @t116 () (tptp.app @t115 @t114)) % 51.96/52.18 (define @t117 () (tptp.app (tptp.app @t116 @t113) @t112)) % 51.96/52.18 (define @t118 () (tptp.app @t117 @t111)) % 51.96/52.18 (define @t119 () (not (= @t118 @t2))) % 51.96/52.18 (define @t120 () (or @t119 @t110)) % 51.96/52.18 (define @t121 () (tptp.ssList @t111)) % 51.96/52.18 (define @t122 () (=> @t121 @t120)) % 51.96/52.18 (define @t123 () (@list @t111)) % 51.96/52.18 (define @t124 () (forall @t123 @t122)) % 51.96/52.18 (define @t125 () (tptp.ssList @t113)) % 51.96/52.18 (define @t126 () (=> @t125 @t124)) % 51.96/52.18 (define @t127 () (@list @t113)) % 51.96/52.18 (define @t128 () (forall @t127 @t126)) % 51.96/52.18 (define @t129 () (tptp.ssList @t115)) % 51.96/52.18 (define @t130 () (=> @t129 @t128)) % 51.96/52.18 (define @t131 () (@list @t115)) % 51.96/52.18 (define @t132 () (forall @t131 @t130)) % 51.96/52.18 (define @t133 () (tptp.ssItem @t109)) % 51.96/52.18 (define @t134 () (=> @t133 @t132)) % 51.96/52.18 (define @t135 () (@list @t109)) % 51.96/52.18 (define @t136 () (forall @t135 @t134)) % 51.96/52.18 (define @t137 () (tptp.ssItem @t27)) % 51.96/52.18 (define @t138 () (=> @t137 @t136)) % 51.96/52.18 (define @t139 () (forall @t33 @t138)) % 51.96/52.18 (define @t140 () (tptp.strictorderedP @t28)) % 51.96/52.18 (define @t141 () (tptp.segmentP @t28 @t12)) % 51.96/52.18 (define @t142 () (tptp.frontsegP @t10 @t28)) % 51.96/52.18 (define @t143 () (tptp.neq @t12 @t28)) % 51.96/52.18 (define @t144 () (and @t34 @t143 @t142 @t141 @t140)) % 51.96/52.18 (define @t145 () (exists @t35 @t144)) % 51.96/52.18 (define @t146 () (not (tptp.strictorderedP @t12))) % 51.96/52.18 (define @t147 () (not (tptp.frontsegP @t10 @t12))) % 51.96/52.18 (define @t148 () (not (= @t2 @t12))) % 51.96/52.18 (define @t149 () (not (= @t1 @t10))) % 51.96/52.18 (define @t150 () (or @t149 @t148 @t147 @t146 @t145 @t139)) % 51.96/52.18 (define @t151 () (=> @t13 @t150)) % 51.96/52.18 (define @t152 () (forall @t14 @t151)) % 51.96/52.18 (define @t153 () (=> @t15 @t152)) % 51.96/52.18 (define @t154 () (forall @t16 @t153)) % 51.96/52.18 (define @t155 () (=> @t21 @t154)) % 51.96/52.18 (define @t156 () (forall @t7 @t155)) % 51.96/52.18 (define @t157 () (=> @t17 @t156)) % 51.96/52.18 (define @t158 () (forall @t9 @t157)) % 51.96/52.18 (define @t159 () (not @t158)) % 51.96/52.18 (define @t160 () (= @t2 @t78)) % 51.96/52.18 (define @t161 () (not @t140)) % 51.96/52.18 (define @t162 () (@var "BOUND_VARIABLE_11149" $$unsorted)) % 51.96/52.18 (define @t163 () (@var "BOUND_VARIABLE_11143" $$unsorted)) % 51.96/52.18 (define @t164 () (@var "BOUND_VARIABLE_11147" $$unsorted)) % 51.96/52.18 (define @t165 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 51.96/52.18 (define @t166 () (@var "BOUND_VARIABLE_11145" $$unsorted)) % 51.96/52.18 (define @t167 () (tptp.app (tptp.app (tptp.app (tptp.app @t166 (tptp.cons @t165 tptp.nil)) @t164) (tptp.cons @t163 tptp.nil)) @t162)) % 51.96/52.18 (define @t168 () (@var "BOUND_VARIABLE_11172" $$unsorted)) % 51.96/52.18 (define @t169 () (not (tptp.frontsegP @t168 @t28))) % 51.96/52.18 (define @t170 () (not @t34)) % 51.96/52.18 (define @t171 () (not (forall @t35 (or @t170 (not (tptp.neq @t167 @t28)) @t169 (not (tptp.segmentP @t28 @t167)) @t161)))) % 51.96/52.18 (define @t172 () (not (tptp.frontsegP @t168 @t167))) % 51.96/52.18 (define @t173 () (not (tptp.ssList @t168))) % 51.96/52.18 (define @t174 () (not (tptp.ssList @t162))) % 51.96/52.18 (define @t175 () (not (tptp.ssList @t164))) % 51.96/52.18 (define @t176 () (not (tptp.ssList @t166))) % 51.96/52.18 (define @t177 () (not (tptp.lt @t163 @t165))) % 51.96/52.18 (define @t178 () (not (tptp.ssItem @t163))) % 51.96/52.18 (define @t179 () (not (tptp.ssItem @t165))) % 51.96/52.18 (define @t180 () (not (tptp.strictorderedP @t167))) % 51.96/52.18 (define @t181 () (not (tptp.ssList @t167))) % 51.96/52.18 (define @t182 () (or @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171)) % 51.96/52.18 (define @t183 () (@list @t165 @t163 @t166 @t164 @t162 @t168)) % 51.96/52.18 (define @t184 () (forall @t183 @t182)) % 51.96/52.18 (define @t185 () (@quantifiers_skolemize @t184 3)) % 51.96/52.18 (define @t186 () (not (= @t167 @t167))) % 51.96/52.18 (define @t187 () (or @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 @t186 @t173 @t172 @t171)) % 51.96/52.18 (define @t188 () (not (tptp.segmentP @t28 @t2))) % 51.96/52.18 (define @t189 () (not (tptp.neq @t2 @t28))) % 51.96/52.18 (define @t190 () (not (forall @t35 (or @t170 @t189 @t169 @t188 @t161)))) % 51.96/52.18 (define @t191 () (not (tptp.frontsegP @t168 @t2))) % 51.96/52.18 (define @t192 () (not (= @t2 @t167))) % 51.96/52.18 (define @t193 () (not @t49)) % 51.96/52.18 (define @t194 () (not @t17)) % 51.96/52.18 (define @t195 () (or @t192 @t194 @t193 @t179 @t178 @t177 @t176 @t175 @t174 @t192 @t173 @t191 @t190)) % 51.96/52.18 (define @t196 () (or @t194 @t193 @t179 @t178 @t177 @t176 @t175 @t174 @t192 @t173 @t191 @t190)) % 51.96/52.18 (define @t197 () (forall @t9 @t196)) % 51.96/52.18 (define @t198 () (forall @t183 @t197)) % 51.96/52.18 (define @t199 () (forall (@list @t165 @t163 @t166 @t164 @t162 @t168 @t2) @t196)) % 51.96/52.18 (define @t200 () (@list @t2 @t165 @t163 @t166 @t164 @t162 @t168)) % 51.96/52.18 (define @t201 () (or @t173 @t191 @t190)) % 51.96/52.18 (define @t202 () (or @t179 @t178 @t177 @t176 @t175 @t174 @t192)) % 51.96/52.18 (define @t203 () (or @t194 @t202 @t193 @t201)) % 51.96/52.18 (define @t204 () (forall @t200 @t203)) % 51.96/52.18 (define @t205 () (forall @t183 @t203)) % 51.96/52.18 (define @t206 () (forall (@list @t168) @t201)) % 51.96/52.18 (define @t207 () (@list @t1)) % 51.96/52.18 (define @t208 () (forall (@list @t165 @t163 @t166 @t164 @t162) @t202)) % 51.96/52.18 (define @t209 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 51.96/52.18 (define @t210 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 51.96/52.18 (define @t211 () (@var "BOUND_VARIABLE_11061" $$unsorted)) % 51.96/52.18 (define @t212 () (@var "BOUND_VARIABLE_11059" $$unsorted)) % 51.96/52.18 (define @t213 () (or @t194 @t208 @t193 @t206)) % 51.96/52.18 (define @t214 () (not (tptp.frontsegP @t1 @t28))) % 51.96/52.18 (define @t215 () (not (forall @t35 (or @t170 @t189 @t214 @t188 @t161)))) % 51.96/52.18 (define @t216 () (not @t95)) % 51.96/52.18 (define @t217 () (not @t21)) % 51.96/52.18 (define @t218 () (or @t217 @t216 @t215)) % 51.96/52.18 (define @t219 () (forall @t7 @t218)) % 51.96/52.18 (define @t220 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t211 @t114) @t210) (tptp.cons @t212 tptp.nil)) @t209)))) % 51.96/52.18 (define @t221 () (not (tptp.ssList @t209))) % 51.96/52.18 (define @t222 () (not (tptp.ssList @t210))) % 51.96/52.18 (define @t223 () (not (tptp.ssList @t211))) % 51.96/52.18 (define @t224 () (not (tptp.lt @t212 @t27))) % 51.96/52.18 (define @t225 () (not (tptp.ssItem @t212))) % 51.96/52.18 (define @t226 () (not @t137)) % 51.96/52.18 (define @t227 () (or @t226 @t225 @t224 @t223 @t222 @t221 @t220)) % 51.96/52.18 (define @t228 () (@list @t27 @t212 @t211 @t210 @t209)) % 51.96/52.18 (define @t229 () (forall @t228 @t227)) % 51.96/52.18 (define @t230 () (or @t194 @t229 @t193 @t219)) % 51.96/52.18 (define @t231 () (or @t229 @t194 @t193 @t219)) % 51.96/52.18 (define @t232 () (or @t229 @t194 @t193 @t218)) % 51.96/52.18 (define @t233 () (or @t217 @t229 @t194 @t193 @t216 @t215)) % 51.96/52.18 (define @t234 () (or @t229 @t217 @t194 @t193 @t216 @t215)) % 51.96/52.18 (define @t235 () (or @t194 @t193 @t216 @t215)) % 51.96/52.18 (define @t236 () (not (= @t2 @t2))) % 51.96/52.18 (define @t237 () (or @t194 @t236 @t193 @t216 @t215)) % 51.96/52.18 (define @t238 () (not @t141)) % 51.96/52.18 (define @t239 () (not @t143)) % 51.96/52.18 (define @t240 () (not (forall @t35 (or @t170 @t239 @t214 @t238 @t161)))) % 51.96/52.18 (define @t241 () (not @t94)) % 51.96/52.18 (define @t242 () (not @t15)) % 51.96/52.18 (define @t243 () (or @t148 @t242 @t148 @t146 @t241 @t240)) % 51.96/52.18 (define @t244 () (or @t242 @t148 @t146 @t241 @t240)) % 51.96/52.18 (define @t245 () (forall @t16 @t244)) % 51.96/52.18 (define @t246 () (or @t229 @t217 @t245)) % 51.96/52.18 (define @t247 () (or @t229 @t217 @t244)) % 51.96/52.18 (define @t248 () (or @t242 @t148 @t146 @t229 @t217 @t241 @t240)) % 51.96/52.18 (define @t249 () (or @t148 @t146 @t229 @t217 @t241 @t240)) % 51.96/52.18 (define @t250 () (or @t217 @t241 @t240)) % 51.96/52.18 (define @t251 () (not (= @t1 @t1))) % 51.96/52.18 (define @t252 () (or @t217 @t251 @t241 @t240)) % 51.96/52.18 (define @t253 () (not @t142)) % 51.96/52.18 (define @t254 () (or @t170 @t239 @t253 @t238 @t161)) % 51.96/52.18 (define @t255 () (not (forall @t35 @t254))) % 51.96/52.18 (define @t256 () (not @t13)) % 51.96/52.18 (define @t257 () (or @t149 @t256 @t149 @t147 @t255)) % 51.96/52.18 (define @t258 () (or @t256 @t149 @t147 @t255)) % 51.96/52.18 (define @t259 () (forall @t14 @t258)) % 51.96/52.18 (define @t260 () (or @t148 @t146 @t229 @t259)) % 51.96/52.18 (define @t261 () (or @t148 @t146 @t229 @t258)) % 51.96/52.18 (define @t262 () (or @t256 @t149 @t148 @t147 @t146 @t255 @t229)) % 51.96/52.18 (define @t263 () (or @t149 @t148 @t147 @t146 @t255 @t229)) % 51.96/52.18 (define @t264 () (or @t225 @t224 @t223 @t222 @t221 @t220)) % 51.96/52.18 (define @t265 () (or @t226 @t264)) % 51.96/52.18 (define @t266 () (forall @t228 @t265)) % 51.96/52.18 (define @t267 () (@list @t212 @t211 @t210 @t209)) % 51.96/52.18 (define @t268 () (forall @t267 @t265)) % 51.96/52.18 (define @t269 () (forall @t267 @t264)) % 51.96/52.18 (define @t270 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 51.96/52.18 (define @t271 () (@var "BOUND_VARIABLE_11032" $$unsorted)) % 51.96/52.18 (define @t272 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 51.96/52.18 (define @t273 () (or @t226 @t269)) % 51.96/52.18 (define @t274 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t272 @t114) @t271) @t112) @t270)))) % 51.96/52.18 (define @t275 () (not (tptp.ssList @t270))) % 51.96/52.18 (define @t276 () (not (tptp.ssList @t271))) % 51.96/52.18 (define @t277 () (not (tptp.ssList @t272))) % 51.96/52.18 (define @t278 () (not @t133)) % 51.96/52.18 (define @t279 () (or @t278 @t110 @t277 @t276 @t275 @t274)) % 51.96/52.18 (define @t280 () (@list @t109 @t272 @t271 @t270)) % 51.96/52.18 (define @t281 () (forall @t280 @t279)) % 51.96/52.18 (define @t282 () (or @t277 @t276 @t275 @t274)) % 51.96/52.18 (define @t283 () (or @t278 @t110 @t282)) % 51.96/52.18 (define @t284 () (forall @t280 @t283)) % 51.96/52.18 (define @t285 () (@list @t272 @t271 @t270)) % 51.96/52.18 (define @t286 () (forall @t285 @t283)) % 51.96/52.18 (define @t287 () (forall @t285 @t282)) % 51.96/52.18 (define @t288 () (@var "BOUND_VARIABLE_11007" $$unsorted)) % 51.96/52.18 (define @t289 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 51.96/52.18 (define @t290 () (or @t278 @t110 @t287)) % 51.96/52.18 (define @t291 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t116 @t289) @t112) @t288)))) % 51.96/52.18 (define @t292 () (not (tptp.ssList @t288))) % 51.96/52.18 (define @t293 () (not (tptp.ssList @t289))) % 51.96/52.18 (define @t294 () (not @t129)) % 51.96/52.18 (define @t295 () (or @t294 @t293 @t292 @t291)) % 51.96/52.18 (define @t296 () (@list @t115 @t289 @t288)) % 51.96/52.18 (define @t297 () (forall @t296 @t295)) % 51.96/52.18 (define @t298 () (or @t278 @t110 @t297)) % 51.96/52.18 (define @t299 () (or @t110 @t297)) % 51.96/52.18 (define @t300 () (or @t293 @t292 @t291)) % 51.96/52.18 (define @t301 () (or @t294 @t300)) % 51.96/52.18 (define @t302 () (forall @t296 @t301)) % 51.96/52.18 (define @t303 () (@list @t289 @t288)) % 51.96/52.18 (define @t304 () (forall @t303 @t301)) % 51.96/52.18 (define @t305 () (forall @t303 @t300)) % 51.96/52.18 (define @t306 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 51.96/52.18 (define @t307 () (or @t294 @t305)) % 51.96/52.18 (define @t308 () (not (= @t2 (tptp.app @t117 @t306)))) % 51.96/52.18 (define @t309 () (not (tptp.ssList @t306))) % 51.96/52.18 (define @t310 () (not @t125)) % 51.96/52.18 (define @t311 () (or @t310 @t309 @t308)) % 51.96/52.18 (define @t312 () (@list @t113 @t306)) % 51.96/52.18 (define @t313 () (forall @t312 @t311)) % 51.96/52.18 (define @t314 () (or @t294 @t313)) % 51.96/52.18 (define @t315 () (forall @t131 @t314)) % 51.96/52.18 (define @t316 () (or @t110 @t315)) % 51.96/52.18 (define @t317 () (or @t110 @t314)) % 51.96/52.18 (define @t318 () (or @t294 @t110 @t313)) % 51.96/52.18 (define @t319 () (or @t110 @t313)) % 51.96/52.18 (define @t320 () (or @t309 @t308)) % 51.96/52.18 (define @t321 () (or @t310 @t320)) % 51.96/52.18 (define @t322 () (forall @t312 @t321)) % 51.96/52.18 (define @t323 () (@list @t306)) % 51.96/52.18 (define @t324 () (forall @t323 @t321)) % 51.96/52.18 (define @t325 () (forall @t323 @t320)) % 51.96/52.18 (define @t326 () (or @t310 @t325)) % 51.96/52.18 (define @t327 () (not (= @t2 @t118))) % 51.96/52.18 (define @t328 () (not @t121)) % 51.96/52.18 (define @t329 () (or @t328 @t327)) % 51.96/52.18 (define @t330 () (forall @t123 @t329)) % 51.96/52.18 (define @t331 () (or @t310 @t330)) % 51.96/52.18 (define @t332 () (forall @t127 @t331)) % 51.96/52.18 (define @t333 () (or @t110 @t332)) % 51.96/52.18 (define @t334 () (or @t110 @t331)) % 51.96/52.18 (define @t335 () (or @t310 @t110 @t330)) % 51.96/52.18 (define @t336 () (or @t110 @t330)) % 51.96/52.18 (define @t337 () (or @t110 @t329)) % 51.96/52.18 (define @t338 () (or @t328 @t327 @t110)) % 51.96/52.18 (define @t339 () (or @t327 @t110)) % 51.96/52.18 (define @t340 () (forall @t35 (not @t144))) % 51.96/52.18 (define @t341 () (not @t340)) % 51.96/52.18 (define @t342 () (tptp.ssList @t185)) % 51.96/52.18 (define @t343 () (@quantifiers_skolemize @t184 4)) % 51.96/52.18 (define @t344 () (@quantifiers_skolemize @t184 1)) % 51.96/52.18 (define @t345 () (tptp.cons @t344 tptp.nil)) % 51.96/52.18 (define @t346 () (@quantifiers_skolemize @t184 0)) % 51.96/52.18 (define @t347 () (tptp.cons @t346 tptp.nil)) % 51.96/52.18 (define @t348 () (@quantifiers_skolemize @t184 2)) % 51.96/52.18 (define @t349 () (tptp.app @t348 @t347)) % 51.96/52.18 (define @t350 () (tptp.app @t349 @t185)) % 51.96/52.18 (define @t351 () (tptp.app (tptp.app @t350 @t345) @t343)) % 51.96/52.18 (define @t352 () (@quantifiers_skolemize @t184 5)) % 51.96/52.18 (define @t353 () (tptp.ssList @t343)) % 51.96/52.18 (define @t354 () (not @t353)) % 51.96/52.18 (define @t355 () (not @t342)) % 51.96/52.18 (define @t356 () (tptp.ssList @t348)) % 51.96/52.18 (define @t357 () (not @t356)) % 51.96/52.18 (define @t358 () (tptp.lt @t344 @t346)) % 51.96/52.18 (define @t359 () (not @t358)) % 51.96/52.18 (define @t360 () (tptp.ssItem @t344)) % 51.96/52.18 (define @t361 () (not @t360)) % 51.96/52.18 (define @t362 () (tptp.ssItem @t346)) % 51.96/52.18 (define @t363 () (not @t362)) % 51.96/52.18 (define @t364 () (tptp.strictorderedP @t351)) % 51.96/52.18 (define @t365 () (not @t364)) % 51.96/52.18 (define @t366 () (tptp.ssList @t351)) % 51.96/52.18 (define @t367 () (not @t366)) % 51.96/52.18 (define @t368 () (or @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t354 (not (tptp.ssList @t352)) (not (tptp.frontsegP @t352 @t351)) (not (forall @t35 (or @t170 (not (tptp.neq @t351 @t28)) (not (tptp.frontsegP @t352 @t28)) (not (tptp.segmentP @t28 @t351)) @t161))))) % 51.96/52.18 (define @t369 () (@list true)) % 51.96/52.18 (define @t370 () (@list @t368)) % 51.96/52.18 (define @t371 () (tptp.app tptp.nil @t185)) % 51.96/52.18 (define @t372 () (= @t185 @t371)) % 51.96/52.18 (define @t373 () (or @t355 @t372)) % 51.96/52.18 (define @t374 () (@list false false)) % 51.96/52.18 (define @t375 () (tptp.app tptp.nil @t343)) % 51.96/52.18 (define @t376 () (= @t343 @t375)) % 51.96/52.18 (define @t377 () (or @t354 @t376)) % 51.96/52.18 (define @t378 () (@var "BOUND_VARIABLE_10596" $$unsorted)) % 51.96/52.18 (define @t379 () (@var "BOUND_VARIABLE_10594" $$unsorted)) % 51.96/52.18 (define @t380 () (= (tptp.app (tptp.app @t2 @t379) @t378) (tptp.app @t2 (tptp.app @t379 @t378)))) % 51.96/52.18 (define @t381 () (not (tptp.ssList @t378))) % 51.96/52.18 (define @t382 () (not (tptp.ssList @t379))) % 51.96/52.18 (define @t383 () (or @t382 @t381 @t380)) % 51.96/52.18 (define @t384 () (or @t194 @t383)) % 51.96/52.18 (define @t385 () (forall (@list @t2 @t379 @t378) @t384)) % 51.96/52.18 (define @t386 () (@list @t379 @t378)) % 51.96/52.18 (define @t387 () (forall @t386 @t384)) % 51.96/52.18 (define @t388 () (forall @t386 @t383)) % 51.96/52.18 (define @t389 () (@var "BOUND_VARIABLE_10576" $$unsorted)) % 51.96/52.18 (define @t390 () (or @t194 @t388)) % 51.96/52.18 (define @t391 () (= (tptp.app @t66 @t389) (tptp.app @t2 (tptp.app @t1 @t389)))) % 51.96/52.18 (define @t392 () (not (tptp.ssList @t389))) % 51.96/52.18 (define @t393 () (or @t217 @t392 @t391)) % 51.96/52.18 (define @t394 () (@list @t1 @t389)) % 51.96/52.18 (define @t395 () (forall @t394 @t393)) % 51.96/52.18 (define @t396 () (or @t392 @t391)) % 51.96/52.18 (define @t397 () (or @t217 @t396)) % 51.96/52.18 (define @t398 () (forall @t394 @t397)) % 51.96/52.18 (define @t399 () (@list @t389)) % 51.96/52.18 (define @t400 () (forall @t399 @t397)) % 51.96/52.18 (define @t401 () (forall @t399 @t396)) % 51.96/52.18 (define @t402 () (@list @t12)) % 51.96/52.18 (define @t403 () (or @t217 @t401)) % 51.96/52.18 (define @t404 () (forall @t16 (or @t242 @t103))) % 51.96/52.18 (define @t405 () (@var "BOUND_VARIABLE_9152" $$unsorted)) % 51.96/52.18 (define @t406 () (tptp.ssList (tptp.cons @t405 @t2))) % 51.96/52.18 (define @t407 () (not (tptp.ssItem @t405))) % 51.96/52.18 (define @t408 () (or @t407 @t406)) % 51.96/52.18 (define @t409 () (or @t194 @t408)) % 51.96/52.18 (define @t410 () (forall (@list @t2 @t405) @t409)) % 51.96/52.18 (define @t411 () (@list @t405)) % 51.96/52.18 (define @t412 () (forall @t411 @t409)) % 51.96/52.18 (define @t413 () (forall @t411 @t408)) % 51.96/52.18 (define @t414 () (or @t194 @t413)) % 51.96/52.18 (define @t415 () (not @t6)) % 51.96/52.18 (define @t416 () (forall @t7 (or @t415 @t55))) % 51.96/52.18 (define @t417 () (tptp.ssList @t347)) % 51.96/52.18 (define @t418 () (not @t59)) % 51.96/52.18 (define @t419 () (or @t418 @t363 @t417)) % 51.96/52.18 (define @t420 () (@list false false false)) % 51.96/52.18 (define @t421 () (tptp.app @t347 @t185)) % 51.96/52.18 (define @t422 () (tptp.app @t348 @t421)) % 51.96/52.18 (define @t423 () (= @t350 @t422)) % 51.96/52.18 (define @t424 () (not @t417)) % 51.96/52.18 (define @t425 () (or @t357 @t424 @t355 @t423)) % 51.96/52.18 (define @t426 () (@list false false false false)) % 51.96/52.18 (define @t427 () (tptp.ssList @t345)) % 51.96/52.18 (define @t428 () (or @t418 @t361 @t427)) % 51.96/52.18 (define @t429 () (@var "BOUND_VARIABLE_9396" $$unsorted)) % 51.96/52.18 (define @t430 () (tptp.ssList (tptp.app @t2 @t429))) % 51.96/52.18 (define @t431 () (not (tptp.ssList @t429))) % 51.96/52.18 (define @t432 () (or @t431 @t430)) % 51.96/52.18 (define @t433 () (or @t194 @t432)) % 51.96/52.18 (define @t434 () (forall (@list @t2 @t429) @t433)) % 51.96/52.18 (define @t435 () (@list @t429)) % 51.96/52.18 (define @t436 () (forall @t435 @t433)) % 51.96/52.18 (define @t437 () (forall @t435 @t432)) % 51.96/52.18 (define @t438 () (or @t194 @t437)) % 51.96/52.18 (define @t439 () (forall @t7 (or @t217 @t67))) % 51.96/52.18 (define @t440 () (tptp.ssList @t349)) % 51.96/52.18 (define @t441 () (or @t357 @t424 @t440)) % 51.96/52.18 (define @t442 () (tptp.ssList @t350)) % 51.96/52.18 (define @t443 () (not @t440)) % 51.96/52.18 (define @t444 () (or @t443 @t355 @t442)) % 51.96/52.18 (define @t445 () (tptp.app @t345 @t343)) % 51.96/52.18 (define @t446 () (tptp.app @t350 @t445)) % 51.96/52.18 (define @t447 () (= @t351 @t446)) % 51.96/52.18 (define @t448 () (not @t427)) % 51.96/52.18 (define @t449 () (not @t442)) % 51.96/52.18 (define @t450 () (or @t449 @t448 @t354 @t447)) % 51.96/52.18 (define @t451 () (@list @t353 @t442 @t427 @t450)) % 51.96/52.18 (define @t452 () (@var "BOUND_VARIABLE_9433" $$unsorted)) % 51.96/52.18 (define @t453 () (@var "BOUND_VARIABLE_9435" $$unsorted)) % 51.96/52.18 (define @t454 () (= (tptp.cons @t453 (tptp.app @t452 @t2)) (tptp.app (tptp.cons @t453 @t452) @t2))) % 51.96/52.18 (define @t455 () (not (tptp.ssItem @t453))) % 51.96/52.18 (define @t456 () (not (tptp.ssList @t452))) % 51.96/52.18 (define @t457 () (or @t194 @t456 @t455 @t454)) % 51.96/52.18 (define @t458 () (or @t456 @t455 @t454)) % 51.96/52.18 (define @t459 () (or @t194 @t458)) % 51.96/52.18 (define @t460 () (@list @t2 @t452 @t453)) % 51.96/52.18 (define @t461 () (forall @t460 @t459)) % 51.96/52.18 (define @t462 () (@list @t452 @t453)) % 51.96/52.18 (define @t463 () (forall @t462 @t459)) % 51.96/52.18 (define @t464 () (forall @t462 @t458)) % 51.96/52.18 (define @t465 () (@var "BOUND_VARIABLE_9415" $$unsorted)) % 51.96/52.18 (define @t466 () (or @t194 @t464)) % 51.96/52.18 (define @t467 () (= (tptp.cons @t465 @t71) (tptp.app (tptp.cons @t465 @t1) @t2))) % 51.96/52.18 (define @t468 () (not (tptp.ssItem @t465))) % 51.96/52.18 (define @t469 () (or @t217 @t468 @t467)) % 51.96/52.18 (define @t470 () (@list @t1 @t465)) % 51.96/52.18 (define @t471 () (forall @t470 @t469)) % 51.96/52.18 (define @t472 () (or @t468 @t467)) % 51.96/52.18 (define @t473 () (or @t217 @t472)) % 51.96/52.18 (define @t474 () (forall @t470 @t473)) % 51.96/52.18 (define @t475 () (@list @t465)) % 51.96/52.18 (define @t476 () (forall @t475 @t473)) % 51.96/52.18 (define @t477 () (forall @t475 @t472)) % 51.96/52.18 (define @t478 () (or @t217 @t477)) % 51.96/52.18 (define @t479 () (not @t36)) % 51.96/52.18 (define @t480 () (forall @t16 (or @t479 @t72))) % 51.96/52.18 (define @t481 () (tptp.cons @t346 @t371)) % 51.96/52.18 (define @t482 () (or @t355 @t418 @t363 (= @t481 @t421))) % 51.96/52.18 (define @t483 () (forall @t460 @t457)) % 51.96/52.19 (define @t484 () (= @t421 @t481)) % 51.96/52.19 (define @t485 () (or @t355 @t418 @t363 @t484)) % 51.96/52.19 (define @t486 () (@list false)) % 51.96/52.19 (define @t487 () (@list @t483)) % 51.96/52.19 (define @t488 () (tptp.cons @t344 @t375)) % 51.96/52.19 (define @t489 () (or @t354 @t418 @t361 (= @t488 @t445))) % 51.96/52.19 (define @t490 () (= @t445 @t488)) % 51.96/52.19 (define @t491 () (or @t354 @t418 @t361 @t490)) % 51.96/52.19 (define @t492 () (@var "BOUND_VARIABLE_8910" $$unsorted)) % 51.96/52.19 (define @t493 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 51.96/52.19 (define @t494 () (@var "BOUND_VARIABLE_8908" $$unsorted)) % 51.96/52.19 (define @t495 () (@var "BOUND_VARIABLE_8906" $$unsorted)) % 51.96/52.19 (define @t496 () (tptp.app (tptp.app @t495 (tptp.cons @t1 @t494)) (tptp.cons @t493 @t492))) % 51.96/52.19 (define @t497 () (not (= @t2 @t496))) % 51.96/52.19 (define @t498 () (not (tptp.ssList @t492))) % 51.96/52.19 (define @t499 () (not (tptp.ssList @t494))) % 51.96/52.19 (define @t500 () (not (tptp.ssList @t495))) % 51.96/52.19 (define @t501 () (tptp.lt @t1 @t493)) % 51.96/52.19 (define @t502 () (not (tptp.ssItem @t493))) % 51.96/52.19 (define @t503 () (or @t415 @t502 @t501 @t500 @t499 @t498 @t497)) % 51.96/52.19 (define @t504 () (@list @t1 @t493 @t495 @t494 @t492)) % 51.96/52.19 (define @t505 () (= @t49 (forall @t504 @t503))) % 51.96/52.19 (define @t506 () (or @t502 @t501 @t500 @t499 @t498 @t497)) % 51.96/52.19 (define @t507 () (or @t415 @t506)) % 51.96/52.19 (define @t508 () (forall @t504 @t507)) % 51.96/52.19 (define @t509 () (@list @t493 @t495 @t494 @t492)) % 51.96/52.19 (define @t510 () (forall @t509 @t507)) % 51.96/52.19 (define @t511 () (forall @t509 @t506)) % 51.96/52.19 (define @t512 () (@var "BOUND_VARIABLE_8880" $$unsorted)) % 51.96/52.19 (define @t513 () (@var "BOUND_VARIABLE_8878" $$unsorted)) % 51.96/52.19 (define @t514 () (@var "BOUND_VARIABLE_8876" $$unsorted)) % 51.96/52.19 (define @t515 () (or @t415 @t511)) % 51.96/52.19 (define @t516 () (not (= @t2 (tptp.app (tptp.app @t514 (tptp.cons @t1 @t513)) (tptp.cons @t12 @t512))))) % 51.96/52.19 (define @t517 () (not (tptp.ssList @t512))) % 51.96/52.19 (define @t518 () (not (tptp.ssList @t513))) % 51.96/52.19 (define @t519 () (not (tptp.ssList @t514))) % 51.96/52.19 (define @t520 () (or @t479 @t37 @t519 @t518 @t517 @t516)) % 51.96/52.19 (define @t521 () (@list @t12 @t514 @t513 @t512)) % 51.96/52.19 (define @t522 () (forall @t521 @t520)) % 51.96/52.19 (define @t523 () (or @t519 @t518 @t517 @t516)) % 51.96/52.19 (define @t524 () (or @t479 @t37 @t523)) % 51.96/52.19 (define @t525 () (forall @t521 @t524)) % 51.96/52.19 (define @t526 () (@list @t514 @t513 @t512)) % 51.96/52.19 (define @t527 () (forall @t526 @t524)) % 51.96/52.19 (define @t528 () (forall @t526 @t523)) % 51.96/52.19 (define @t529 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 51.96/52.19 (define @t530 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 51.96/52.19 (define @t531 () (or @t479 @t37 @t528)) % 51.96/52.19 (define @t532 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t530)) (tptp.cons @t12 @t529))))) % 51.96/52.19 (define @t533 () (not (tptp.ssList @t529))) % 51.96/52.19 (define @t534 () (not (tptp.ssList @t530))) % 51.96/52.19 (define @t535 () (or @t256 @t534 @t533 @t532)) % 51.96/52.19 (define @t536 () (@list @t10 @t530 @t529)) % 51.96/52.19 (define @t537 () (forall @t536 @t535)) % 51.96/52.19 (define @t538 () (or @t479 @t37 @t537)) % 51.96/52.19 (define @t539 () (or @t37 @t537)) % 51.96/52.19 (define @t540 () (or @t534 @t533 @t532)) % 51.96/52.19 (define @t541 () (or @t256 @t540)) % 51.96/52.19 (define @t542 () (forall @t536 @t541)) % 51.96/52.19 (define @t543 () (@list @t530 @t529)) % 51.96/52.19 (define @t544 () (forall @t543 @t541)) % 51.96/52.19 (define @t545 () (forall @t543 @t540)) % 51.96/52.19 (define @t546 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 51.96/52.19 (define @t547 () (or @t256 @t545)) % 51.96/52.19 (define @t548 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t546))))) % 51.96/52.19 (define @t549 () (not (tptp.ssList @t546))) % 51.96/52.19 (define @t550 () (or @t170 @t549 @t548)) % 51.96/52.19 (define @t551 () (@list @t28 @t546)) % 51.96/52.19 (define @t552 () (forall @t551 @t550)) % 51.96/52.19 (define @t553 () (or @t256 @t552)) % 51.96/52.19 (define @t554 () (forall @t14 @t553)) % 51.96/52.19 (define @t555 () (or @t37 @t554)) % 51.96/52.19 (define @t556 () (or @t37 @t553)) % 51.96/52.19 (define @t557 () (or @t256 @t37 @t552)) % 51.96/52.19 (define @t558 () (or @t37 @t552)) % 51.96/52.19 (define @t559 () (or @t549 @t548)) % 51.96/52.19 (define @t560 () (or @t170 @t559)) % 51.96/52.19 (define @t561 () (forall @t551 @t560)) % 51.96/52.19 (define @t562 () (@list @t546)) % 51.96/52.19 (define @t563 () (forall @t562 @t560)) % 51.96/52.19 (define @t564 () (forall @t562 @t559)) % 51.96/52.19 (define @t565 () (or @t170 @t564)) % 51.96/52.19 (define @t566 () (= @t2 @t30)) % 51.96/52.19 (define @t567 () (not @t566)) % 51.96/52.19 (define @t568 () (not @t32)) % 51.96/52.19 (define @t569 () (or @t568 @t567)) % 51.96/52.19 (define @t570 () (forall @t33 @t569)) % 51.96/52.19 (define @t571 () (or @t170 @t570)) % 51.96/52.19 (define @t572 () (forall @t35 @t571)) % 51.96/52.19 (define @t573 () (or @t37 @t572)) % 51.96/52.19 (define @t574 () (or @t37 @t571)) % 51.96/52.19 (define @t575 () (or @t170 @t37 @t570)) % 51.96/52.19 (define @t576 () (or @t37 @t570)) % 51.96/52.19 (define @t577 () (or @t37 @t569)) % 51.96/52.19 (define @t578 () (or @t568 @t567 @t37)) % 51.96/52.19 (define @t579 () (=> @t566 @t37)) % 51.96/52.19 (define @t580 () (not (= @t351 @t496))) % 51.96/52.19 (define @t581 () (or @t415 @t502 @t501 @t500 @t499 @t498 @t580)) % 51.96/52.19 (define @t582 () (forall @t504 @t581)) % 51.96/52.19 (define @t583 () (= @t364 @t582)) % 51.96/52.19 (define @t584 () (or @t367 @t583)) % 51.96/52.19 (define @t585 () (forall @t9 (or @t194 @t505))) % 51.96/52.19 (define @t586 () (forall @t504 (or @t415 @t502 @t501 @t500 @t499 @t498 (not (= @t496 @t351))))) % 51.96/52.19 (define @t587 () (= @t364 @t586)) % 51.96/52.19 (define @t588 () (or @t367 @t587)) % 51.96/52.19 (define @t589 () (tptp.app (tptp.app @t348 (tptp.cons @t346 @t185)) (tptp.cons @t344 @t343))) % 51.96/52.19 (define @t590 () (not (= @t589 @t351))) % 51.96/52.19 (define @t591 () (tptp.lt @t346 @t344)) % 51.96/52.19 (define @t592 () (or @t363 @t361 @t591 @t357 @t355 @t354 @t590)) % 51.96/52.19 (define @t593 () (= @t351 @t589)) % 51.96/52.19 (define @t594 () (not @t593)) % 51.96/52.19 (define @t595 () (or @t363 @t361 @t591 @t357 @t355 @t354 @t594)) % 51.96/52.19 (define @t596 () (@var "BOUND_VARIABLE_9569" $$unsorted)) % 51.96/52.19 (define @t597 () (not (tptp.lt @t596 @t2))) % 51.96/52.19 (define @t598 () (not (tptp.lt @t2 @t596))) % 51.96/52.19 (define @t599 () (not (tptp.ssItem @t596))) % 51.96/52.19 (define @t600 () (not @t8)) % 51.96/52.19 (define @t601 () (or @t599 @t598 @t597)) % 51.96/52.19 (define @t602 () (or @t600 @t601)) % 51.96/52.19 (define @t603 () (forall (@list @t2 @t596) @t602)) % 51.96/52.19 (define @t604 () (@list @t596)) % 51.96/52.19 (define @t605 () (forall @t604 @t602)) % 51.96/52.19 (define @t606 () (forall @t604 @t601)) % 51.96/52.19 (define @t607 () (or @t600 @t606)) % 51.96/52.19 (define @t608 () (not @t86)) % 51.96/52.19 (define @t609 () (or @t415 @t608 @t85)) % 51.96/52.19 (define @t610 () (forall @t7 @t609)) % 51.96/52.19 (define @t611 () (not @t591)) % 51.96/52.19 (define @t612 () (or @t361 @t363 @t359 @t611)) % 51.96/52.19 (define @t613 () (not @t490)) % 51.96/52.19 (define @t614 () (not @t484)) % 51.96/52.19 (define @t615 () (not @t447)) % 51.96/52.19 (define @t616 () (not @t423)) % 51.96/52.19 (define @t617 () (not @t376)) % 51.96/52.19 (define @t618 () (not @t372)) % 51.96/52.19 (define @t619 () (and @t594 @t593)) % 51.96/52.19 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 51.96/52.19 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 51.96/52.19 (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))))))))))) % 51.96/52.19 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 51.96/52.19 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 51.96/52.19 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 51.96/52.19 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 51.96/52.19 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 51.96/52.19 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 51.96/52.19 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 51.96/52.19 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 51.96/52.19 (assume @p12 @t52) % 51.96/52.19 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 51.96/52.19 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 51.96/52.19 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 51.96/52.19 (assume @p16 @t58) % 51.96/52.19 (assume @p17 @t59) % 51.96/52.19 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 51.96/52.19 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 51.96/52.19 (assume @p20 (forall @t9 (=> @t17 (or @t62 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t61 @t2))))))))) % 51.96/52.19 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 51.96/52.19 (assume @p22 (forall @t9 (=> @t17 (=> @t64 (tptp.ssItem @t63))))) % 51.96/52.19 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 51.96/52.19 (assume @p24 (forall @t9 (=> @t17 (=> @t64 (tptp.ssList @t65))))) % 51.96/52.19 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 51.96/52.19 (assume @p26 @t70) % 51.96/52.19 (assume @p27 @t77) % 51.96/52.19 (assume @p28 @t80) % 51.96/52.19 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 @t81) @t3)))))) % 51.96/52.19 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t26) (tptp.leq @t2 @t12))))))))) % 51.96/52.19 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 51.96/52.19 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 @t81)))))) % 51.96/52.19 (assume @p33 @t90) % 51.96/52.19 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t86 @t37) @t91)))))))) % 51.96/52.19 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t84)))))) % 51.96/52.19 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 51.96/52.19 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 51.96/52.19 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 51.96/52.19 (assume @p39 (not (tptp.singletonP tptp.nil))) % 51.96/52.19 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 @t94) (tptp.frontsegP @t2 @t12))))))))) % 51.96/52.19 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t95) @t3)))))) % 51.96/52.19 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 51.96/52.19 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 51.96/52.19 (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)))))))))))) % 51.96/52.19 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 51.96/52.19 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t62)))) % 51.96/52.19 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 51.96/52.19 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 51.96/52.19 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 51.96/52.19 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t96 @t1))))))))) % 51.96/52.19 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 51.96/52.19 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t62)))) % 51.96/52.19 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 51.96/52.19 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 51.96/52.19 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 51.96/52.19 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t96 @t10) @t1))))))))))) % 51.96/52.19 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 51.96/52.19 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t62)))) % 51.96/52.19 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t97)))) % 51.96/52.19 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 51.96/52.19 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t97)))) % 51.96/52.19 (assume @p62 (tptp.totalorderP tptp.nil)) % 51.96/52.19 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t97)))) % 51.96/52.19 (assume @p64 (tptp.strictorderP tptp.nil)) % 51.96/52.19 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t97)))) % 51.96/52.19 (assume @p66 (tptp.totalorderedP tptp.nil)) % 51.96/52.19 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t101) (or @t99 (and @t100 (tptp.totalorderedP @t1) (tptp.leq @t2 @t98))))))))) % 51.96/52.19 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t97)))) % 51.96/52.19 (assume @p69 (tptp.strictorderedP tptp.nil)) % 51.96/52.19 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t101) (or @t99 (and @t100 (tptp.strictorderedP @t1) (tptp.lt @t2 @t98))))))))) % 51.96/52.19 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t97)))) % 51.96/52.19 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 51.96/52.19 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t97)))) % 51.96/52.19 (assume @p74 (tptp.equalelemsP tptp.nil)) % 51.96/52.19 (assume @p75 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t6 (= @t63 @t1))))))) % 51.96/52.19 (assume @p76 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t21 (= @t65 @t1))))))) % 51.96/52.19 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t100 @t64 (= @t98 @t63) (= (tptp.tl @t1) @t65)) @t60)))))) % 51.96/52.19 (assume @p78 (forall @t9 (=> @t17 (=> @t64 (= (tptp.cons @t63 @t65) @t2))))) % 51.96/52.19 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t102)))))))) % 51.96/52.19 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t71) @t102)))))))) % 51.96/52.19 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 51.96/52.19 (assume @p82 @t108) % 51.96/52.19 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t99 @t62))))))) % 51.96/52.19 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 51.96/52.19 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.hd @t66) @t63))))))) % 51.96/52.19 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 51.96/52.19 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t83 (tptp.geq @t1 @t2)) @t3)))))) % 51.96/52.19 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t83 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 51.96/52.19 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 51.96/52.19 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 51.96/52.19 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t91)))))))) % 51.96/52.19 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (or @t3 @t86))))))) % 51.96/52.19 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 (and @t4 @t82))))))) % 51.96/52.19 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 51.96/52.19 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 51.96/52.19 (assume @p96 @t159) % 51.96/52.19 (assume @p97 true) % 51.96/52.19 (step @p98 :rule bool-impl-elim :args (@t17 @t160)) % 51.96/52.19 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t160)))) % 51.96/52.19 (step @p100 :rule eq-symm :args (@t78 @t2)) % 51.96/52.19 (step @p101 :rule refl :args (@t17)) % 51.96/52.19 (step @p102 :rule cong :premises (@p101 @p100) :args (@t79)) % 51.96/52.19 (step @p103 :rule cong :premises (@p102) :args (@t80)) % 51.96/52.19 (step @p104 :rule trans :premises (@p103 @p99)) % 51.96/52.19 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 51.96/52.19 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t185))) % 51.96/52.19 (step @p107 :rule aci_norm :args ((= (or @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 false @t173 @t172 @t171) @t182))) % 51.96/52.19 (step @p108 :rule refl :args (@t171)) % 51.96/52.19 (step @p109 :rule refl :args (@t172)) % 51.96/52.19 (step @p110 :rule refl :args (@t173)) % 51.96/52.19 (step @p111 :rule evaluate :args ((not true))) % 51.96/52.19 (step @p112 :rule eq-refl :args (@t167)) % 51.96/52.19 (step @p113 :rule cong :premises (@p112) :args (@t186)) % 51.96/52.19 (step @p114 :rule trans :premises (@p113 @p111)) % 51.96/52.19 (step @p115 :rule refl :args (@t174)) % 51.96/52.19 (step @p116 :rule refl :args (@t175)) % 51.96/52.19 (step @p117 :rule refl :args (@t176)) % 51.96/52.19 (step @p118 :rule refl :args (@t177)) % 51.96/52.19 (step @p119 :rule refl :args (@t178)) % 51.96/52.19 (step @p120 :rule refl :args (@t179)) % 51.96/52.19 (step @p121 :rule refl :args (@t180)) % 51.96/52.19 (step @p122 :rule refl :args (@t181)) % 51.96/52.19 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p110 @p109 @p108) :args (@t187)) % 51.96/52.19 (step @p124 :rule trans :premises (@p123 @p107)) % 51.96/52.19 (step @p125 :rule cong :premises (@p124) :args ((forall @t183 @t187))) % 51.96/52.19 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t9 @t195) @t187))) % 51.96/52.19 (step @p127 :rule aci_norm :args ((= @t196 @t195))) % 51.96/52.19 (step @p128 :rule cong :premises (@p127) :args (@t197)) % 51.96/52.19 (step @p129 :rule trans :premises (@p128 @p126)) % 51.96/52.19 (step @p130 :rule cong :premises (@p129) :args (@t198)) % 51.96/52.19 (step @p131 :rule quant-merge-prenex :args ((= @t198 @t199))) % 51.96/52.19 (step @p132 :rule symm :premises (@p131)) % 51.96/52.19 (step @p133 :rule quant_var_reordering :args ((= (forall @t200 @t196) @t199))) % 51.96/52.19 (step @p134 :rule trans :premises (@p133 @p132 @p130)) % 51.96/52.19 (step @p135 :rule trans :premises (@p134 @p125)) % 51.96/52.19 (step @p136 :rule aci_norm :args ((= @t203 @t196))) % 51.96/52.19 (step @p137 :rule cong :premises (@p136) :args (@t204)) % 51.96/52.19 (step @p138 :rule trans :premises (@p137 @p135)) % 51.96/52.19 (step @p139 :rule quant-merge-prenex :args ((= (forall @t9 @t205) @t204))) % 51.96/52.19 (step @p140 :rule alpha_equiv :args (@t206 (@list @t168) @t207)) % 51.96/52.19 (step @p141 :rule refl :args (@t193)) % 51.96/52.19 (step @p142 :rule alpha_equiv :args (@t208 (@list @t165 @t163 @t166 @t164 @t162) (@list @t27 @t212 @t211 @t210 @t209))) % 51.96/52.19 (step @p143 :rule refl :args (@t194)) % 51.96/52.19 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t213)) % 51.96/52.19 (step @p145 :rule quant-miniscope-or :args ((= @t205 @t213))) % 51.96/52.19 (step @p146 :rule trans :premises (@p145 @p144)) % 51.96/52.19 (step @p147 :rule symm :premises (@p146)) % 51.96/52.19 (step @p148 :rule cong :premises (@p147) :args ((forall @t9 @t230))) % 51.96/52.19 (step @p149 :rule trans :premises (@p148 @p139)) % 51.96/52.19 (step @p150 :rule trans :premises (@p149 @p138)) % 51.96/52.19 (step @p151 :rule aci_norm :args ((= (or @t194 @t231) @t230))) % 51.96/52.19 (step @p152 :rule bool-impl-elim :args (@t17 @t231)) % 51.96/52.19 (step @p153 :rule trans :premises (@p152 @p151)) % 51.96/52.19 (step @p154 :rule cong :premises (@p153) :args ((forall @t9 (=> @t17 @t231)))) % 51.96/52.19 (step @p155 :rule trans :premises (@p154 @p150)) % 51.96/52.19 (step @p156 :rule quant-miniscope-or :args ((= (forall @t7 @t232) @t231))) % 51.96/52.19 (step @p157 :rule aci_norm :args ((= @t233 @t232))) % 51.96/52.19 (step @p158 :rule cong :premises (@p157) :args ((forall @t7 @t233))) % 51.96/52.19 (step @p159 :rule trans :premises (@p158 @p156)) % 51.96/52.19 (step @p160 :rule aci_norm :args ((= (or @t217 @t234) @t233))) % 51.96/52.19 (step @p161 :rule bool-impl-elim :args (@t21 @t234)) % 51.96/52.19 (step @p162 :rule trans :premises (@p161 @p160)) % 51.96/52.19 (step @p163 :rule cong :premises (@p162) :args ((forall @t7 (=> @t21 @t234)))) % 51.96/52.19 (step @p164 :rule trans :premises (@p163 @p159)) % 51.96/52.19 (step @p165 :rule aci_norm :args ((= (or @t229 @t217 @t235) @t234))) % 51.96/52.19 (step @p166 :rule aci_norm :args ((= (or @t194 false @t193 @t216 @t215) @t235))) % 51.96/52.19 (step @p167 :rule refl :args (@t215)) % 51.96/52.19 (step @p168 :rule refl :args (@t216)) % 51.96/52.19 (step @p169 :rule refl :args (@t193)) % 51.96/52.19 (step @p170 :rule eq-refl :args (@t2)) % 51.96/52.19 (step @p171 :rule cong :premises (@p170) :args (@t236)) % 51.96/52.19 (step @p172 :rule trans :premises (@p171 @p111)) % 51.96/52.19 (step @p173 :rule refl :args (@t194)) % 51.96/52.19 (step @p174 :rule nary_cong :premises (@p173 @p172 @p169 @p168 @p167) :args (@t237)) % 51.96/52.19 (step @p175 :rule trans :premises (@p174 @p166)) % 51.96/52.19 (step @p176 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t102) @t242 @t148 @t146 @t241 @t240)) @t237))) % 51.96/52.19 (step @p177 :rule refl :args (@t240)) % 51.96/52.19 (step @p178 :rule refl :args (@t241)) % 51.96/52.19 (step @p179 :rule refl :args (@t146)) % 51.96/52.19 (step @p180 :rule refl :args (@t148)) % 51.96/52.19 (step @p181 :rule refl :args (@t242)) % 51.96/52.19 (step @p182 :rule eq-symm :args (@t2 @t12)) % 51.96/52.19 (step @p183 :rule cong :premises (@p182) :args (@t148)) % 51.96/52.19 (step @p184 :rule nary_cong :premises (@p183 @p181 @p180 @p179 @p178 @p177) :args (@t243)) % 51.96/52.19 (step @p185 :rule aci_norm :args ((= @t244 @t243))) % 51.96/52.19 (step @p186 :rule trans :premises (@p185 @p184)) % 51.96/52.19 (step @p187 :rule cong :premises (@p186) :args (@t245)) % 51.96/52.19 (step @p188 :rule trans :premises (@p187 @p176)) % 51.96/52.19 (step @p189 :rule trans :premises (@p188 @p175)) % 51.96/52.19 (step @p190 :rule refl :args (@t217)) % 51.96/52.19 (step @p191 :rule refl :args (@t229)) % 51.96/52.19 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189) :args (@t246)) % 51.96/52.19 (step @p193 :rule trans :premises (@p192 @p165)) % 51.96/52.19 (step @p194 :rule quant-miniscope-or :args ((= (forall @t16 @t247) @t246))) % 51.96/52.19 (step @p195 :rule aci_norm :args ((= @t248 @t247))) % 51.96/52.19 (step @p196 :rule cong :premises (@p195) :args ((forall @t16 @t248))) % 51.96/52.19 (step @p197 :rule trans :premises (@p196 @p194)) % 51.96/52.19 (step @p198 :rule trans :premises (@p197 @p193)) % 51.96/52.19 (step @p199 :rule aci_norm :args ((= (or @t242 @t249) @t248))) % 51.96/52.19 (step @p200 :rule bool-impl-elim :args (@t15 @t249)) % 51.96/52.19 (step @p201 :rule trans :premises (@p200 @p199)) % 51.96/52.19 (step @p202 :rule cong :premises (@p201) :args ((forall @t16 (=> @t15 @t249)))) % 51.96/52.19 (step @p203 :rule trans :premises (@p202 @p198)) % 51.96/52.19 (step @p204 :rule aci_norm :args ((= (or @t148 @t146 @t229 @t250) @t249))) % 51.96/52.19 (step @p205 :rule aci_norm :args ((= (or @t217 false @t241 @t240) @t250))) % 51.96/52.19 (step @p206 :rule refl :args (@t240)) % 51.96/52.19 (step @p207 :rule refl :args (@t241)) % 51.96/52.19 (step @p208 :rule eq-refl :args (@t1)) % 51.96/52.19 (step @p209 :rule cong :premises (@p208) :args (@t251)) % 51.96/52.19 (step @p210 :rule trans :premises (@p209 @p111)) % 51.96/52.19 (step @p211 :rule nary_cong :premises (@p190 @p210 @p207 @p206) :args (@t252)) % 51.96/52.19 (step @p212 :rule trans :premises (@p211 @p205)) % 51.96/52.19 (step @p213 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t256 @t149 @t147 @t255)) @t252))) % 51.96/52.19 (step @p214 :rule refl :args (@t255)) % 51.96/52.19 (step @p215 :rule refl :args (@t147)) % 51.96/52.19 (step @p216 :rule refl :args (@t149)) % 51.96/52.19 (step @p217 :rule refl :args (@t256)) % 51.96/52.19 (step @p218 :rule eq-symm :args (@t1 @t10)) % 51.96/52.19 (step @p219 :rule cong :premises (@p218) :args (@t149)) % 51.96/52.19 (step @p220 :rule nary_cong :premises (@p219 @p217 @p216 @p215 @p214) :args (@t257)) % 51.96/52.19 (step @p221 :rule aci_norm :args ((= @t258 @t257))) % 51.96/52.19 (step @p222 :rule trans :premises (@p221 @p220)) % 51.96/52.19 (step @p223 :rule cong :premises (@p222) :args (@t259)) % 51.96/52.19 (step @p224 :rule trans :premises (@p223 @p213)) % 51.96/52.19 (step @p225 :rule trans :premises (@p224 @p212)) % 51.96/52.19 (step @p226 :rule refl :args (@t146)) % 51.96/52.19 (step @p227 :rule refl :args (@t148)) % 51.96/52.19 (step @p228 :rule nary_cong :premises (@p227 @p226 @p191 @p225) :args (@t260)) % 51.96/52.19 (step @p229 :rule trans :premises (@p228 @p204)) % 51.96/52.19 (step @p230 :rule quant-miniscope-or :args ((= (forall @t14 @t261) @t260))) % 51.96/52.19 (step @p231 :rule aci_norm :args ((= @t262 @t261))) % 51.96/52.19 (step @p232 :rule cong :premises (@p231) :args ((forall @t14 @t262))) % 51.96/52.19 (step @p233 :rule trans :premises (@p232 @p230)) % 51.96/52.19 (step @p234 :rule trans :premises (@p233 @p229)) % 51.96/52.19 (step @p235 :rule aci_norm :args ((= (or @t256 @t263) @t262))) % 51.96/52.19 (step @p236 :rule bool-impl-elim :args (@t13 @t263)) % 51.96/52.19 (step @p237 :rule trans :premises (@p236 @p235)) % 51.96/52.19 (step @p238 :rule cong :premises (@p237) :args ((forall @t14 (=> @t13 @t263)))) % 51.96/52.19 (step @p239 :rule trans :premises (@p238 @p234)) % 51.96/52.19 (step @p240 :rule aci_norm :args ((= @t265 @t227))) % 51.96/52.19 (step @p241 :rule cong :premises (@p240) :args (@t266)) % 51.96/52.19 (step @p242 :rule quant-merge-prenex :args ((= (forall @t33 @t268) @t266))) % 51.96/52.19 (step @p243 :rule alpha_equiv :args (@t269 (@list @t212 @t211 @t210 @t209) (@list @t109 @t272 @t271 @t270))) % 51.96/52.19 (step @p244 :rule refl :args (@t226)) % 51.96/52.19 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t273)) % 51.96/52.19 (step @p246 :rule quant-miniscope-or :args ((= @t268 @t273))) % 51.96/52.19 (step @p247 :rule trans :premises (@p246 @p245)) % 51.96/52.19 (step @p248 :rule symm :premises (@p247)) % 51.96/52.19 (step @p249 :rule cong :premises (@p248) :args ((forall @t33 (or @t226 @t281)))) % 51.96/52.19 (step @p250 :rule trans :premises (@p249 @p242)) % 51.96/52.19 (step @p251 :rule trans :premises (@p250 @p241)) % 51.96/52.19 (step @p252 :rule bool-impl-elim :args (@t137 @t281)) % 51.96/52.19 (step @p253 :rule cong :premises (@p252) :args ((forall @t33 (=> @t137 @t281)))) % 51.96/52.19 (step @p254 :rule trans :premises (@p253 @p251)) % 51.96/52.19 (step @p255 :rule aci_norm :args ((= @t283 @t279))) % 51.96/52.19 (step @p256 :rule cong :premises (@p255) :args (@t284)) % 51.96/52.19 (step @p257 :rule quant-merge-prenex :args ((= (forall @t135 @t286) @t284))) % 51.96/52.19 (step @p258 :rule alpha_equiv :args (@t287 (@list @t272 @t271 @t270) (@list @t115 @t289 @t288))) % 51.96/52.19 (step @p259 :rule refl :args (@t110)) % 51.96/52.19 (step @p260 :rule refl :args (@t278)) % 51.96/52.19 (step @p261 :rule nary_cong :premises 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:premises (@p733 @p732) :args (@t584)) % 51.96/52.19 (step @p735 :rule refl :args (@t585)) % 51.96/52.19 (step @p736 :rule cong :premises (@p735 @p734) :args ((=> @t585 @t584))) % 51.96/52.19 (assume-push @p875 @t585) % 51.96/52.19 (step @p738 :rule instantiate :premises (@p720) :args ((@list @t351))) % 51.96/52.19 (step-pop @p876 :rule scope :premises (@p738)) % 51.96/52.19 (step @p739 :rule process_scope :premises (@p876) :args (@t584)) % 51.96/52.19 (step @p741 :rule eq_resolve :premises (@p739 @p736)) % 51.96/52.19 (step @p742 :rule implies_elim :premises (@p741)) % 51.96/52.19 (step @p743 :rule chain_m_resolution :premises (@p742 @p720) :args (@t588 @t486 (@list @t585))) % 51.96/52.19 (step @p744 :rule bool-double-not-elim :args (@t366)) % 51.96/52.19 (step @p745 :rule nary_cong :premises (@p393 @p744) :args ((or @t368 (not @t367)))) % 51.96/52.19 (step @p746 :rule cnf_or_neg :args (@t368 0)) % 51.96/52.19 (step @p747 :rule eq_resolve :premises (@p746 @p745)) % 51.96/52.19 (step @p748 :rule reordering :premises (@p747) :args ((or @t366 @t368))) % 51.96/52.19 (step @p749 :rule chain_m_resolution :premises (@p748 @p391) :args (@t366 @t369 @t370)) % 51.96/52.19 (step @p750 :rule cnf_or_pos :args (@t588)) % 51.96/52.19 (step @p751 :rule reordering :premises (@p750) :args ((or @t367 @t587 (not @t588)))) % 51.96/52.19 (step @p752 :rule chain_m_resolution :premises (@p751 @p749 @p743) :args (@t587 @t374 (@list @t366 @t588))) % 51.96/52.19 (step @p753 :rule bool-double-not-elim :args (@t364)) % 51.96/52.19 (step @p754 :rule nary_cong :premises (@p393 @p753) :args ((or @t368 (not @t365)))) % 51.96/52.19 (step @p755 :rule cnf_or_neg :args (@t368 1)) % 51.96/52.19 (step @p756 :rule eq_resolve :premises (@p755 @p754)) % 51.96/52.19 (step @p757 :rule reordering :premises (@p756) :args ((or @t364 @t368))) % 51.96/52.19 (step @p758 :rule chain_m_resolution :premises (@p757 @p391) :args (@t364 @t369 @t370)) % 51.96/52.19 (step @p759 :rule cnf_equiv_pos1 :args (@t587)) % 51.96/52.19 (step @p760 :rule reordering :premises (@p759) :args ((or @t365 @t586 (not @t587)))) % 51.96/52.19 (step @p761 :rule chain_m_resolution :premises (@p760 @p758 @p752) :args (@t586 @t374 (@list @t364 @t587))) % 51.96/52.19 (step @p762 :rule eq-symm :args (@t589 @t351)) % 51.96/52.19 (step @p763 :rule cong :premises (@p762) :args (@t590)) % 51.96/52.19 (step @p764 :rule refl :args (@t357)) % 51.96/52.19 (step @p765 :rule refl :args (@t591)) % 51.96/52.19 (step @p766 :rule nary_cong :premises (@p570 @p587 @p765 @p764 @p572 @p588 @p763) :args (@t592)) % 51.96/52.19 (step @p767 :rule refl :args (@t586)) % 51.96/52.19 (step @p768 :rule cong :premises (@p767 @p766) :args ((=> @t586 @t592))) % 51.96/52.19 (assume-push @p877 @t586) % 51.96/52.19 (step @p770 :rule instantiate :premises (@p761) :args ((@list @t346 @t344 @t348 @t185 @t343))) % 51.96/52.19 (step-pop @p878 :rule scope :premises (@p770)) % 51.96/52.19 (step @p771 :rule process_scope :premises (@p878) :args (@t592)) % 51.96/52.19 (step @p773 :rule eq_resolve :premises (@p771 @p768)) % 51.96/52.19 (step @p774 :rule implies_elim :premises (@p773)) % 51.96/52.19 (step @p775 :rule chain_m_resolution :premises (@p774 @p761) :args (@t595 @t486 (@list @t586))) % 51.96/52.19 (step @p776 :rule aci_norm :args ((= @t602 (or @t600 @t599 @t598 @t597)))) % 51.96/52.19 (step @p777 :rule cong :premises (@p776) :args (@t603)) % 51.96/52.19 (step @p778 :rule quant-merge-prenex :args ((= (forall @t9 @t605) @t603))) % 51.96/52.19 (step @p779 :rule alpha_equiv :args (@t606 (@list @t596) @t207)) % 51.96/52.19 (step @p780 :rule refl :args (@t600)) % 51.96/52.19 (step @p781 :rule nary_cong :premises (@p780 @p779) :args (@t607)) % 51.96/52.19 (step @p782 :rule quant-miniscope-or :args ((= @t605 @t607))) % 51.96/52.19 (step @p783 :rule trans :premises (@p782 @p781)) % 51.96/52.19 (step @p784 :rule symm :premises (@p783)) % 51.96/52.19 (step @p785 :rule cong :premises (@p784) :args ((forall @t9 (or @t600 @t610)))) % 51.96/52.19 (step @p786 :rule trans :premises (@p785 @p778)) % 51.96/52.19 (step @p787 :rule trans :premises (@p786 @p777)) % 51.96/52.19 (step @p788 :rule bool-impl-elim :args (@t8 @t610)) % 51.96/52.19 (step @p789 :rule cong :premises (@p788) :args ((forall @t9 (=> @t8 @t610)))) % 51.96/52.19 (step @p790 :rule trans :premises (@p789 @p787)) % 51.96/52.19 (step @p791 :rule aci_norm :args ((= (or @t415 (or @t608 @t85)) @t609))) % 51.96/52.19 (step @p792 :rule bool-impl-elim :args (@t86 @t85)) % 51.96/52.19 (step @p793 :rule nary_cong :premises (@p607 @p792) :args ((or @t415 @t87))) % 51.96/52.19 (step @p794 :rule trans :premises (@p793 @p791)) % 51.96/52.19 (step @p795 :rule bool-impl-elim :args (@t6 @t87)) % 51.96/52.19 (step @p796 :rule trans :premises (@p795 @p794)) % 51.96/52.19 (step @p797 :rule cong :premises (@p796) :args (@t88)) % 51.96/52.19 (step @p798 :rule refl :args (@t8)) % 51.96/52.19 (step @p799 :rule cong :premises (@p798 @p797) :args (@t89)) % 51.96/52.19 (step @p800 :rule cong :premises (@p799) :args (@t90)) % 51.96/52.19 (step @p801 :rule trans :premises (@p800 @p790)) % 51.96/52.19 (step @p802 :rule eq_resolve :premises (@p33 @p801)) % 51.96/52.19 (step @p803 :rule instantiate :premises (@p802) :args ((@list @t344 @t346))) % 51.96/52.19 (step @p804 :rule bool-double-not-elim :args (@t358)) % 51.96/52.19 (step @p805 :rule nary_cong :premises (@p393 @p804) :args ((or @t368 (not @t359)))) % 51.96/52.19 (step @p806 :rule cnf_or_neg :args (@t368 4)) % 51.96/52.19 (step @p807 :rule eq_resolve :premises (@p806 @p805)) % 51.96/52.19 (step @p808 :rule reordering :premises (@p807) :args ((or @t358 @t368))) % 51.96/52.19 (step @p809 :rule chain_m_resolution :premises (@p808 @p391) :args (@t358 @t369 @t370)) % 51.96/52.19 (step @p810 :rule cnf_or_pos :args (@t612)) % 51.96/52.19 (step @p811 :rule reordering :premises (@p810) :args ((or @t363 @t361 @t359 @t611 (not @t612)))) % 51.96/52.19 (step @p812 :rule chain_m_resolution :premises (@p811 @p477 @p497 @p809 @p803) :args (@t611 @t426 (@list @t362 @t360 @t358 @t612))) % 51.96/52.19 (step @p813 :rule cnf_or_pos :args (@t595)) % 51.96/52.19 (step @p814 :rule reordering :premises (@p813) :args ((or @t363 @t361 @t357 @t355 @t354 @t591 @t594 (not @t595)))) % 51.96/52.19 (step @p815 :rule chain_m_resolution :premises (@p814 @p477 @p497 @p486 @p398 @p408 @p812 @p775) :args (@t594 (@list false false false false false true false) (@list @t362 @t360 @t356 @t342 @t353 @t591 @t595))) % 51.96/52.19 (step @p816 :rule bool-double-not-elim :args (@t593)) % 51.96/52.19 (step @p817 :rule refl :args (@t613)) % 51.96/52.19 (step @p818 :rule refl :args (@t614)) % 51.96/52.19 (step @p819 :rule refl :args (@t615)) % 51.96/52.19 (step @p820 :rule refl :args (@t616)) % 51.96/52.19 (step @p821 :rule refl :args (@t617)) % 51.96/52.19 (step @p822 :rule refl :args (@t618)) % 51.96/52.19 (step @p823 :rule nary_cong :premises (@p822 @p821 @p820 @p819 @p818 @p817 @p816) :args ((or @t618 @t617 @t616 @t615 @t614 @t613 (not @t594)))) % 51.96/52.19 (assume-push @p879 @t594) % 51.96/52.19 (assume-push @p880 @t593) % 51.96/52.19 (step @p826 :rule evaluate :args ((= true false))) % 51.96/52.19 (step @p827 :rule false_intro :premises (@p815)) % 51.96/52.19 (step @p828 :rule symm :premises (@p411)) % 51.96/52.19 (step @p829 :rule refl :args (@t344)) % 51.96/52.19 (step @p830 :rule cong :premises (@p829 @p828) :args (@t488)) % 51.96/52.19 (step @p831 :rule trans :premises (@p600 @p830)) % 51.96/52.19 (step @p832 :rule symm :premises (@p401)) % 51.96/52.19 (step @p833 :rule refl :args (@t346)) % 51.96/52.19 (step @p834 :rule cong :premises (@p833 @p832) :args (@t481)) % 51.96/52.19 (step @p835 :rule trans :premises (@p585 @p834)) % 51.96/52.19 (step @p836 :rule refl :args (@t348)) % 51.96/52.19 (step @p837 :rule cong :premises (@p836 @p835) :args (@t422)) % 51.96/52.19 (step @p838 :rule trans :premises (@p489 @p837)) % 51.96/52.19 (step @p839 :rule cong :premises (@p838 @p831) :args (@t446)) % 51.96/52.19 (step @p840 :rule chain_m_resolution :premises (@p530 @p408 @p528 @p500 @p490) :args (@t447 @t426 @t451)) % 51.96/52.19 (step @p841 :rule trans :premises (@p840 @p839)) % 51.96/52.19 (step @p842 :rule true_intro :premises (@p841)) % 51.96/52.19 (step @p843 :rule symm :premises (@p842)) % 51.96/52.19 (step @p844 :rule trans :premises (@p843 @p827)) % 51.96/52.19 (step @p845 false :rule eq_resolve :premises (@p844 @p826)) % 51.96/52.19 (step-pop @p881 :rule scope :premises (@p845)) % 51.96/52.19 (step-pop @p882 :rule scope :premises (@p881)) % 51.96/52.19 (step @p846 :rule process_scope :premises (@p882) :args (false)) % 51.96/52.19 (assume-push @p883 @t372) % 51.96/52.19 (assume-push @p884 @t376) % 51.96/52.19 (assume-push @p885 @t423) % 51.96/52.19 (assume-push @p886 @t447) % 51.96/52.19 (assume-push @p887 @t484) % 51.96/52.19 (assume-push @p888 @t490) % 51.96/52.19 (assume-push @p889 @t594) % 51.96/52.19 (step @p828 :rule symm :premises (@p411)) % 51.96/52.19 (step @p829 :rule refl :args (@t344)) % 51.96/52.19 (step @p830 :rule cong :premises (@p829 @p828) :args (@t488)) % 51.96/52.19 (step @p831 :rule trans :premises (@p600 @p830)) % 51.96/52.19 (step @p832 :rule symm :premises (@p401)) % 51.96/52.19 (step @p833 :rule refl :args (@t346)) % 51.96/52.19 (step @p834 :rule cong :premises (@p833 @p832) :args (@t481)) % 51.96/52.19 (step @p835 :rule trans :premises (@p585 @p834)) % 51.96/52.19 (step @p836 :rule refl :args (@t348)) % 51.96/52.19 (step @p837 :rule cong :premises (@p836 @p835) :args (@t422)) % 51.96/52.19 (step @p838 :rule trans :premises (@p489 @p837)) % 51.96/52.19 (step @p839 :rule cong :premises (@p838 @p831) :args (@t446)) % 51.96/52.19 (step @p856 :rule trans :premises (@p531 @p839)) % 51.96/52.19 (step @p857 :rule and_intro :premises (@p815 @p856)) % 51.96/52.19 (step-pop @p890 :rule scope :premises (@p857)) % 51.96/52.19 (step-pop @p891 :rule scope :premises (@p890)) % 51.96/52.19 (step-pop @p892 :rule scope :premises (@p891)) % 51.96/52.19 (step-pop @p893 :rule scope :premises (@p892)) % 51.96/52.19 (step-pop @p894 :rule scope :premises (@p893)) % 51.96/52.19 (step-pop @p895 :rule scope :premises (@p894)) % 51.96/52.19 (step-pop @p896 :rule scope :premises (@p895)) % 51.96/52.19 (step @p858 :rule process_scope :premises (@p896) :args (@t619)) % 51.96/52.19 (step @p866 :rule implies_elim :premises (@p858)) % 51.96/52.19 (step @p867 :rule resolution :premises (@p866 @p846) :args (true @t619)) % 51.96/52.19 (step @p868 :rule not_and :premises (@p867)) % 51.96/52.19 (step @p869 :rule eq_resolve :premises (@p868 @p823)) % 51.96/52.19 (step @p870 false :rule chain_m_resolution :premises (@p869 @p815 @p600 @p585 @p531 @p489 @p411 @p401) :args (false (@list true false false false false false false) (@list @t593 @t490 @t484 @t447 @t423 @t376 @t372))) % 51.96/52.19 ) % 51.96/52.19 % SZS output end Proof % 51.96/52.19 % cvc5 exiting %------------------------------------------------------------------------------