%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC275+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 : n008.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 08:58:41 AM UTC 2026 % Result : Theorem 0.44s 0.69s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC275+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 : n008.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 19:35:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.69 % SZS status Theorem % 0.44/0.69 % SZS output start Proof % 0.44/0.69 ( % 0.44/0.69 (declare-sort $$unsorted 0) % 0.44/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.44/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.44/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.69 (declare-const tptp.nil $$unsorted) % 0.44/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.44/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.44/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.69 (define @t3 () (= @t2 @t1)) % 0.44/0.69 (define @t4 () (not @t3)) % 0.44/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.44/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.44/0.69 (define @t7 () (@list @t1)) % 0.44/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.44/0.69 (define @t9 () (@list @t2)) % 0.44/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.44/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.44/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.44/0.69 (define @t13 () (tptp.ssList @t10)) % 0.44/0.69 (define @t14 () (@list @t10)) % 0.44/0.69 (define @t15 () (tptp.ssList @t12)) % 0.44/0.69 (define @t16 () (@list @t12)) % 0.44/0.69 (define @t17 () (tptp.ssList @t2)) % 0.44/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.44/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.44/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.44/0.69 (define @t21 () (tptp.ssList @t1)) % 0.44/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.44/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.44/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.44/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.44/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.44/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.44/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.44/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.44/0.69 (define @t30 () (tptp.ssList @t27)) % 0.44/0.69 (define @t31 () (@list @t27)) % 0.44/0.69 (define @t32 () (tptp.ssList @t28)) % 0.44/0.69 (define @t33 () (@list @t28)) % 0.44/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.44/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.44/0.69 (define @t36 () (tptp.totalorderedP @t2)) % 0.44/0.69 (define @t37 () (= @t1 @t12)) % 0.44/0.69 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.44/0.69 (define @t39 () (=> @t17 @t38)) % 0.44/0.69 (define @t40 () (forall @t9 @t39)) % 0.44/0.69 (define @t41 () (tptp.cons @t1 @t2)) % 0.44/0.69 (define @t42 () (tptp.ssList tptp.nil)) % 0.44/0.69 (define @t43 () (= @t1 @t2)) % 0.44/0.69 (define @t44 () (tptp.cons @t12 @t1)) % 0.44/0.69 (define @t45 () (= tptp.nil @t2)) % 0.44/0.69 (define @t46 () (tptp.hd @t2)) % 0.44/0.69 (define @t47 () (not @t45)) % 0.44/0.69 (define @t48 () (tptp.tl @t2)) % 0.44/0.69 (define @t49 () (tptp.app @t2 @t1)) % 0.44/0.69 (define @t50 () (tptp.app @t1 @t2)) % 0.44/0.69 (define @t51 () (tptp.leq @t1 @t2)) % 0.44/0.69 (define @t52 () (tptp.leq @t2 @t1)) % 0.44/0.69 (define @t53 () (tptp.geq @t2 @t1)) % 0.44/0.69 (define @t54 () (tptp.lt @t1 @t2)) % 0.44/0.69 (define @t55 () (tptp.lt @t2 @t1)) % 0.44/0.69 (define @t56 () (tptp.lt @t2 @t12)) % 0.44/0.69 (define @t57 () (tptp.gt @t2 @t1)) % 0.44/0.69 (define @t58 () (tptp.memberP @t12 @t2)) % 0.44/0.69 (define @t59 () (tptp.app @t12 @t2)) % 0.44/0.69 (define @t60 () (tptp.cons @t2 tptp.nil)) % 0.44/0.69 (define @t61 () (tptp.totalorderedP @t60)) % 0.44/0.69 (define @t62 () (forall @t9 (=> @t8 @t61))) % 0.44/0.69 (define @t63 () (tptp.totalorderedP tptp.nil)) % 0.44/0.69 (define @t64 () (tptp.hd @t1)) % 0.44/0.69 (define @t65 () (= tptp.nil @t1)) % 0.44/0.69 (define @t66 () (not @t65)) % 0.44/0.69 (define @t67 () (tptp.cons @t2 @t1)) % 0.44/0.69 (define @t68 () (= @t12 @t2)) % 0.44/0.69 (define @t69 () (tptp.neq @t10 tptp.nil)) % 0.44/0.69 (define @t70 () (not (tptp.memberP @t10 @t28))) % 0.44/0.69 (define @t71 () (tptp.cons @t28 tptp.nil)) % 0.44/0.69 (define @t72 () (not (= @t71 @t12))) % 0.44/0.69 (define @t73 () (not (tptp.ssItem @t28))) % 0.44/0.69 (define @t74 () (or @t73 @t72 @t70)) % 0.44/0.69 (define @t75 () (forall @t33 @t74)) % 0.44/0.69 (define @t76 () (and @t75 @t69)) % 0.44/0.69 (define @t77 () (not (= tptp.nil @t12))) % 0.44/0.69 (define @t78 () (and @t77 (= tptp.nil @t10))) % 0.44/0.69 (define @t79 () (not (= @t2 @t12))) % 0.44/0.69 (define @t80 () (not (= @t1 @t10))) % 0.44/0.69 (define @t81 () (not @t13)) % 0.44/0.69 (define @t82 () (or @t81 @t80 @t79 @t36 @t78 @t76)) % 0.44/0.69 (define @t83 () (forall @t14 @t82)) % 0.44/0.69 (define @t84 () (=> @t15 @t83)) % 0.44/0.69 (define @t85 () (forall @t16 @t84)) % 0.44/0.69 (define @t86 () (=> @t21 @t85)) % 0.44/0.69 (define @t87 () (forall @t7 @t86)) % 0.44/0.69 (define @t88 () (=> @t17 @t87)) % 0.44/0.69 (define @t89 () (forall @t9 @t88)) % 0.44/0.69 (define @t90 () (not @t89)) % 0.44/0.69 (define @t91 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 0.44/0.69 (define @t92 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 0.44/0.69 (define @t93 () (and (or (not (tptp.ssItem @t92)) (not (= @t2 (tptp.cons @t92 tptp.nil))) (not (tptp.memberP @t91 @t92))) (tptp.neq @t91 tptp.nil))) % 0.44/0.69 (define @t94 () (not (= @t2 tptp.nil))) % 0.44/0.69 (define @t95 () (and @t94 (= @t91 tptp.nil))) % 0.44/0.69 (define @t96 () (not (tptp.ssList @t91))) % 0.44/0.69 (define @t97 () (not @t17)) % 0.44/0.69 (define @t98 () (or @t97 @t36 @t96 @t95 @t93)) % 0.44/0.69 (define @t99 () (or @t96 @t95 @t93)) % 0.44/0.69 (define @t100 () (or @t97 @t36 @t99)) % 0.44/0.69 (define @t101 () (@list @t2 @t91 @t92)) % 0.44/0.69 (define @t102 () (forall @t101 @t100)) % 0.44/0.69 (define @t103 () (@list @t91 @t92)) % 0.44/0.69 (define @t104 () (forall @t103 @t100)) % 0.44/0.69 (define @t105 () (forall @t103 @t99)) % 0.44/0.69 (define @t106 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 0.44/0.69 (define @t107 () (or @t97 @t36 @t105)) % 0.44/0.69 (define @t108 () (tptp.neq @t1 tptp.nil)) % 0.44/0.69 (define @t109 () (or (not (tptp.ssItem @t106)) (not (= @t2 (tptp.cons @t106 tptp.nil))) (not (tptp.memberP @t1 @t106)))) % 0.44/0.69 (define @t110 () (and @t109 @t108)) % 0.44/0.69 (define @t111 () (= @t1 tptp.nil)) % 0.44/0.69 (define @t112 () (and @t94 @t111)) % 0.44/0.69 (define @t113 () (not @t21)) % 0.44/0.69 (define @t114 () (or @t113 @t112 @t110)) % 0.44/0.69 (define @t115 () (forall (@list @t1 @t106) @t114)) % 0.44/0.69 (define @t116 () (or @t97 @t36 @t115)) % 0.44/0.69 (define @t117 () (or @t36 @t97 @t115)) % 0.44/0.69 (define @t118 () (@list @t106)) % 0.44/0.69 (define @t119 () (forall @t118 @t114)) % 0.44/0.69 (define @t120 () (forall @t118 @t108)) % 0.44/0.69 (define @t121 () (forall @t118 @t109)) % 0.44/0.69 (define @t122 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 0.44/0.69 (define @t123 () (@list @t122)) % 0.44/0.69 (define @t124 () (and @t121 @t120)) % 0.44/0.69 (define @t125 () (forall @t118 @t110)) % 0.44/0.69 (define @t126 () (or @t113 @t112 @t125)) % 0.44/0.69 (define @t127 () (and (forall (@list @t122) (or (not (tptp.ssItem @t122)) (not (= @t2 (tptp.cons @t122 tptp.nil))) (not (tptp.memberP @t1 @t122)))) @t108)) % 0.44/0.69 (define @t128 () (or @t113 @t112 @t127)) % 0.44/0.69 (define @t129 () (forall @t7 @t128)) % 0.44/0.69 (define @t130 () (or @t36 @t97 @t129)) % 0.44/0.69 (define @t131 () (or @t36 @t97 @t128)) % 0.44/0.69 (define @t132 () (or @t113 @t36 @t97 @t112 @t127)) % 0.44/0.69 (define @t133 () (or @t36 @t113 @t97 @t112 @t127)) % 0.44/0.69 (define @t134 () (@var "BOUND_VARIABLE_10991" $$unsorted)) % 0.44/0.69 (define @t135 () (@list @t134)) % 0.44/0.69 (define @t136 () (forall @t135 @t108)) % 0.44/0.69 (define @t137 () (not (tptp.memberP @t1 @t134))) % 0.44/0.69 (define @t138 () (tptp.cons @t134 tptp.nil)) % 0.44/0.69 (define @t139 () (not (tptp.ssItem @t134))) % 0.44/0.69 (define @t140 () (or @t139 (not (= @t2 @t138)) @t137)) % 0.44/0.69 (define @t141 () (forall @t135 @t140)) % 0.44/0.69 (define @t142 () (@list @t134)) % 0.44/0.69 (define @t143 () (and @t141 @t136)) % 0.44/0.69 (define @t144 () (and @t140 @t108)) % 0.44/0.69 (define @t145 () (forall @t135 @t144)) % 0.44/0.69 (define @t146 () (or @t97 @t112 @t145)) % 0.44/0.69 (define @t147 () (or @t97 @t112 @t144)) % 0.44/0.69 (define @t148 () (not (= @t2 @t2))) % 0.44/0.69 (define @t149 () (or @t97 @t148 @t112 @t144)) % 0.44/0.69 (define @t150 () (or @t139 (not (= @t12 @t138)) @t137)) % 0.44/0.69 (define @t151 () (and @t150 @t108)) % 0.44/0.69 (define @t152 () (not (= @t12 tptp.nil))) % 0.44/0.69 (define @t153 () (and @t152 @t111)) % 0.44/0.69 (define @t154 () (not @t15)) % 0.44/0.69 (define @t155 () (or @t79 @t154 @t79 @t153 @t151)) % 0.44/0.69 (define @t156 () (or @t154 @t79 @t153 @t151)) % 0.44/0.69 (define @t157 () (forall @t16 @t156)) % 0.44/0.69 (define @t158 () (forall @t135 @t157)) % 0.44/0.69 (define @t159 () (forall (@list @t134 @t12) @t156)) % 0.44/0.69 (define @t160 () (forall (@list @t12 @t134) @t156)) % 0.44/0.69 (define @t161 () (forall @t135 @t156)) % 0.44/0.69 (define @t162 () (forall @t135 @t150)) % 0.44/0.69 (define @t163 () (@var "BOUND_VARIABLE_10966" $$unsorted)) % 0.44/0.69 (define @t164 () (@list @t163)) % 0.44/0.69 (define @t165 () (and @t162 @t136)) % 0.44/0.69 (define @t166 () (forall @t135 @t151)) % 0.44/0.69 (define @t167 () (or @t154 @t79 @t153 @t166)) % 0.44/0.69 (define @t168 () (and (forall (@list @t163) (or (not (tptp.ssItem @t163)) (not (= @t12 (tptp.cons @t163 tptp.nil))) (not (tptp.memberP @t1 @t163)))) @t108)) % 0.44/0.69 (define @t169 () (or @t154 @t79 @t153 @t168)) % 0.44/0.69 (define @t170 () (forall @t16 @t169)) % 0.44/0.69 (define @t171 () (or @t36 @t113 @t170)) % 0.44/0.69 (define @t172 () (or @t36 @t113 @t169)) % 0.44/0.69 (define @t173 () (or @t154 @t79 @t36 @t113 @t153 @t168)) % 0.44/0.69 (define @t174 () (or @t79 @t36 @t113 @t153 @t168)) % 0.44/0.69 (define @t175 () (@var "BOUND_VARIABLE_10938" $$unsorted)) % 0.44/0.69 (define @t176 () (@list @t175)) % 0.44/0.69 (define @t177 () (forall @t176 @t108)) % 0.44/0.69 (define @t178 () (not (= @t12 (tptp.cons @t175 tptp.nil)))) % 0.44/0.69 (define @t179 () (not (tptp.ssItem @t175))) % 0.44/0.69 (define @t180 () (or @t179 @t178 (not (tptp.memberP @t1 @t175)))) % 0.44/0.69 (define @t181 () (forall @t176 @t180)) % 0.44/0.69 (define @t182 () (@list @t175)) % 0.44/0.69 (define @t183 () (and @t181 @t177)) % 0.44/0.69 (define @t184 () (and @t180 @t108)) % 0.44/0.69 (define @t185 () (forall @t176 @t184)) % 0.44/0.69 (define @t186 () (or @t113 @t153 @t185)) % 0.44/0.69 (define @t187 () (or @t113 @t153 @t184)) % 0.44/0.69 (define @t188 () (not (= @t1 @t1))) % 0.44/0.69 (define @t189 () (or @t113 @t188 @t153 @t184)) % 0.44/0.69 (define @t190 () (or @t179 @t178 (not (tptp.memberP @t10 @t175)))) % 0.44/0.69 (define @t191 () (and @t190 @t69)) % 0.44/0.69 (define @t192 () (and @t152 (= @t10 tptp.nil))) % 0.44/0.69 (define @t193 () (or @t80 @t81 @t80 @t192 @t191)) % 0.44/0.69 (define @t194 () (or @t81 @t80 @t192 @t191)) % 0.44/0.69 (define @t195 () (forall @t14 @t194)) % 0.44/0.69 (define @t196 () (forall @t176 @t195)) % 0.44/0.69 (define @t197 () (forall (@list @t175 @t10) @t194)) % 0.44/0.69 (define @t198 () (forall (@list @t10 @t175) @t194)) % 0.44/0.69 (define @t199 () (forall @t176 @t194)) % 0.44/0.69 (define @t200 () (forall @t176 @t69)) % 0.44/0.69 (define @t201 () (forall @t176 @t190)) % 0.44/0.69 (define @t202 () (and @t201 @t200)) % 0.44/0.69 (define @t203 () (forall @t176 @t191)) % 0.44/0.69 (define @t204 () (or @t81 @t80 @t192 @t203)) % 0.44/0.69 (define @t205 () (and (forall @t33 (or @t73 (not (= @t12 @t71)) @t70)) @t69)) % 0.44/0.69 (define @t206 () (or @t81 @t80 @t192 @t205)) % 0.44/0.69 (define @t207 () (forall @t14 @t206)) % 0.44/0.69 (define @t208 () (or @t79 @t36 @t207)) % 0.44/0.69 (define @t209 () (or @t79 @t36 @t206)) % 0.44/0.69 (define @t210 () (or @t81 @t80 @t79 @t36 @t192 @t205)) % 0.44/0.69 (define @t211 () (forall @t101 (or @t97 @t36 @t96 (and @t94 (= tptp.nil @t91)) @t93))) % 0.44/0.69 (define @t212 () (@quantifiers_skolemize @t211 1)) % 0.44/0.69 (define @t213 () (tptp.neq @t212 tptp.nil)) % 0.44/0.69 (define @t214 () (@quantifiers_skolemize @t211 2)) % 0.44/0.69 (define @t215 () (tptp.cons @t214 tptp.nil)) % 0.44/0.69 (define @t216 () (@quantifiers_skolemize @t211 0)) % 0.44/0.69 (define @t217 () (= @t216 @t215)) % 0.44/0.69 (define @t218 () (not @t217)) % 0.44/0.69 (define @t219 () (tptp.ssItem @t214)) % 0.44/0.69 (define @t220 () (not @t219)) % 0.44/0.69 (define @t221 () (or @t220 @t218 (not (tptp.memberP @t212 @t214)))) % 0.44/0.69 (define @t222 () (and @t221 @t213)) % 0.44/0.69 (define @t223 () (= tptp.nil @t212)) % 0.44/0.69 (define @t224 () (= tptp.nil @t216)) % 0.44/0.69 (define @t225 () (not @t224)) % 0.44/0.69 (define @t226 () (and @t225 @t223)) % 0.44/0.69 (define @t227 () (tptp.ssList @t212)) % 0.44/0.69 (define @t228 () (not @t227)) % 0.44/0.69 (define @t229 () (tptp.totalorderedP @t216)) % 0.44/0.69 (define @t230 () (not (tptp.ssList @t216))) % 0.44/0.69 (define @t231 () (or @t230 @t229 @t228 @t226 @t222)) % 0.44/0.69 (define @t232 () (not @t231)) % 0.44/0.69 (define @t233 () (not @t211)) % 0.44/0.69 (define @t234 () (not (= @t216 tptp.nil))) % 0.44/0.69 (define @t235 () (and @t234 @t223)) % 0.44/0.69 (define @t236 () (or @t230 @t229 @t228 @t235 @t222)) % 0.44/0.69 (define @t237 () (not @t236)) % 0.44/0.69 (define @t238 () (@list true)) % 0.44/0.69 (define @t239 () (not @t229)) % 0.44/0.69 (define @t240 () (@list @t231)) % 0.44/0.69 (define @t241 () (@var "BOUND_VARIABLE_9101" $$unsorted)) % 0.44/0.69 (define @t242 () (= (tptp.neq @t2 @t241) (not (= @t2 @t241)))) % 0.44/0.69 (define @t243 () (not (tptp.ssList @t241))) % 0.44/0.69 (define @t244 () (or @t97 @t243 @t242)) % 0.44/0.69 (define @t245 () (or @t243 @t242)) % 0.44/0.69 (define @t246 () (or @t97 @t245)) % 0.44/0.69 (define @t247 () (@list @t2 @t241)) % 0.44/0.69 (define @t248 () (forall @t247 @t246)) % 0.44/0.69 (define @t249 () (@list @t241)) % 0.44/0.69 (define @t250 () (forall @t249 @t246)) % 0.44/0.69 (define @t251 () (forall @t249 @t245)) % 0.44/0.69 (define @t252 () (or @t97 @t251)) % 0.44/0.69 (define @t253 () (forall @t7 (or @t113 @t5))) % 0.44/0.69 (define @t254 () (not (= @t212 tptp.nil))) % 0.44/0.69 (define @t255 () (= @t213 @t254)) % 0.44/0.69 (define @t256 () (not @t42)) % 0.44/0.69 (define @t257 () (or @t228 @t256 @t255)) % 0.44/0.69 (define @t258 () (forall @t247 @t244)) % 0.44/0.69 (define @t259 () (not @t223)) % 0.44/0.69 (define @t260 () (= @t213 @t259)) % 0.44/0.69 (define @t261 () (or @t228 @t256 @t260)) % 0.44/0.69 (define @t262 () (tptp.totalorderedP @t215)) % 0.44/0.69 (define @t263 () (or @t220 @t262)) % 0.44/0.69 (define @t264 () (not @t262)) % 0.44/0.69 (define @t265 () (not @t239)) % 0.44/0.69 (define @t266 () (and @t217 @t239)) % 0.44/0.69 (define @t267 () (@list true false)) % 0.44/0.69 (define @t268 () (not @t260)) % 0.44/0.69 (define @t269 () (not @t63)) % 0.44/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.44/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.44/0.69 (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))))))))))) % 0.44/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.44/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.44/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.44/0.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.44/0.69 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.44/0.69 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.44/0.69 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.44/0.69 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.44/0.69 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.44/0.69 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 0.44/0.69 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 0.44/0.69 (assume @p15 @t40) % 0.44/0.69 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.44/0.69 (assume @p17 @t42) % 0.44/0.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.44/0.69 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.44/0.69 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.44/0.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.44/0.69 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.44/0.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.44/0.69 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.44/0.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.44/0.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.44/0.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.44/0.69 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.44/0.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.44/0.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.44/0.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.44/0.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.44/0.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.44/0.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.44/0.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.44/0.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.44/0.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.44/0.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.44/0.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.44/0.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.44/0.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.44/0.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.44/0.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.44/0.69 (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)))))))))))) % 0.44/0.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.44/0.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.44/0.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.44/0.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.44/0.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.44/0.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1))))))))) % 0.44/0.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.44/0.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.44/0.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.44/0.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.44/0.69 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.44/0.69 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t59 @t10) @t1))))))))))) % 0.44/0.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.44/0.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.44/0.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t60)))) % 0.44/0.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.44/0.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t60)))) % 0.44/0.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.44/0.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t60)))) % 0.44/0.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.44/0.69 (assume @p65 @t62) % 0.44/0.69 (assume @p66 @t63) % 0.44/0.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 0.44/0.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t60)))) % 0.44/0.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.44/0.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 0.44/0.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t60)))) % 0.44/0.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.44/0.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t60)))) % 0.44/0.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.44/0.69 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.44/0.69 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 0.44/0.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t66 @t47 (= @t64 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 0.44/0.69 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 0.44/0.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t68)))))))) % 0.44/0.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t68)))))))) % 0.44/0.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 0.44/0.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 0.44/0.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t65 @t45))))))) % 0.44/0.69 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.44/0.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 0.44/0.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 0.44/0.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.44/0.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.44/0.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.44/0.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.44/0.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 0.44/0.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.44/0.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.44/0.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.44/0.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.44/0.69 (assume @p96 @t90) % 0.44/0.69 (assume @p97 true) % 0.44/0.69 (step @p98 :rule refl :args (@t93)) % 0.44/0.69 (step @p99 :rule eq-symm :args (@t91 tptp.nil)) % 0.44/0.69 (step @p100 :rule refl :args (@t94)) % 0.44/0.69 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t95)) % 0.44/0.69 (step @p102 :rule refl :args (@t96)) % 0.44/0.69 (step @p103 :rule refl :args (@t36)) % 0.44/0.69 (step @p104 :rule refl :args (@t97)) % 0.44/0.69 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p98) :args (@t98)) % 0.44/0.69 (step @p106 :rule aci_norm :args ((= @t100 @t98))) % 0.44/0.69 (step @p107 :rule 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cnf_or_pos :args (@t261)) % 0.44/0.69 (step @p370 :rule reordering :premises (@p369) :args ((or @t256 @t228 @t260 (not @t261)))) % 0.44/0.69 (step @p371 :rule chain_m_resolution :premises (@p370 @p17 @p368 @p361) :args (@t260 (@list false false false) (@list @t42 @t227 @t261))) % 0.44/0.69 (step @p372 :rule bool-double-not-elim :args (@t219)) % 0.44/0.69 (step @p373 :rule refl :args (@t221)) % 0.44/0.69 (step @p374 :rule nary_cong :premises (@p373 @p372) :args ((or @t221 (not @t220)))) % 0.44/0.69 (step @p375 :rule cnf_or_neg :args (@t221 0)) % 0.44/0.69 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 0.44/0.69 (step @p377 :rule reordering :premises (@p376) :args ((or @t219 @t221))) % 0.44/0.69 (step @p378 :rule bool-double-not-elim :args (@t217)) % 0.44/0.69 (step @p379 :rule nary_cong :premises (@p373 @p378) :args ((or @t221 (not @t218)))) % 0.44/0.69 (step @p380 :rule cnf_or_neg :args (@t221 1)) % 0.44/0.69 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 0.44/0.69 (step @p382 :rule reordering :premises (@p381) :args ((or @t217 @t221))) % 0.44/0.69 (step @p383 :rule bool-impl-elim :args (@t8 @t61)) % 0.44/0.69 (step @p384 :rule cong :premises (@p383) :args (@t62)) % 0.44/0.69 (step @p385 :rule eq_resolve :premises (@p65 @p384)) % 0.44/0.69 (step @p386 :rule instantiate :premises (@p385) :args ((@list @t214))) % 0.44/0.69 (step @p387 :rule cnf_or_pos :args (@t263)) % 0.44/0.69 (step @p388 :rule reordering :premises (@p387) :args ((or @t220 @t262 (not @t263)))) % 0.44/0.69 (step @p389 :rule refl :args (@t264)) % 0.44/0.69 (step @p390 :rule bool-double-not-elim :args (@t229)) % 0.44/0.69 (step @p391 :rule refl :args (@t218)) % 0.44/0.69 (step @p392 :rule nary_cong :premises (@p391 @p390 @p389) :args ((or @t218 @t265 @t264))) % 0.44/0.69 (assume-push @p467 @t217) % 0.44/0.69 (assume-push @p468 @t239) % 0.44/0.69 (assume-push @p469 @t239) % 0.44/0.69 (assume-push @p470 @t217) % 0.44/0.69 (step @p397 :rule false_intro :premises (@p326)) % 0.44/0.69 (step @p398 :rule symm :premises (@p467)) % 0.44/0.69 (step @p399 :rule cong :premises (@p398) :args (@t262)) % 0.44/0.69 (step @p400 :rule trans :premises (@p399 @p397)) % 0.44/0.69 (step @p401 :rule false_elim :premises (@p400)) % 0.44/0.69 (step-pop @p471 :rule scope :premises (@p401)) % 0.44/0.69 (step-pop @p472 :rule scope :premises (@p471)) % 0.44/0.69 (step @p402 :rule process_scope :premises (@p472) :args (@t264)) % 0.44/0.69 (step @p405 :rule and_intro :premises (@p326 @p467)) % 0.44/0.69 (step @p406 :rule modus_ponens :premises (@p405 @p402)) % 0.44/0.69 (step-pop @p473 :rule scope :premises (@p406)) % 0.44/0.69 (step-pop @p474 :rule scope :premises (@p473)) % 0.44/0.69 (step @p407 :rule process_scope :premises (@p474) :args (@t264)) % 0.44/0.69 (step @p410 :rule implies_elim :premises (@p407)) % 0.44/0.69 (step @p411 :rule cnf_and_neg :args (@t266)) % 0.44/0.69 (step @p412 :rule resolution :premises (@p411 @p410) :args (true @t266)) % 0.44/0.69 (step @p413 :rule eq_resolve :premises (@p412 @p392)) % 0.44/0.69 (step @p414 :rule reordering :premises (@p413) :args ((or @t229 @t218 @t264))) % 0.44/0.69 (step @p415 :rule chain_m_resolution :premises (@p414 @p326 @p388 @p386 @p382 @p377) :args (@t221 (@list true false false false false) (@list @t229 @t262 @t263 @t217 @t219))) % 0.44/0.69 (step @p416 :rule cnf_or_neg :args (@t231 4)) % 0.44/0.69 (step @p417 :rule chain_m_resolution :premises (@p416 @p324) :args ((not @t222) @t238 @t240)) % 0.44/0.69 (step @p418 :rule cnf_and_neg :args (@t222)) % 0.44/0.69 (step @p419 :rule chain_m_resolution :premises (@p418 @p417 @p415) :args ((not @t213) @t267 (@list @t222 @t221))) % 0.44/0.69 (step @p420 :rule bool-double-not-elim :args (@t223)) % 0.44/0.69 (step @p421 :rule refl :args (@t268)) % 0.44/0.69 (step @p422 :rule nary_cong :premises (@p421 @p349 @p420) :args ((or @t268 @t213 (not @t259)))) % 0.44/0.69 (step @p423 :rule cnf_equiv_pos2 :args (@t260)) % 0.44/0.69 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 0.44/0.69 (step @p425 :rule reordering :premises (@p424) :args ((or @t223 @t213 @t268))) % 0.44/0.69 (step @p426 :rule chain_m_resolution :premises (@p425 @p419 @p371) :args (@t223 @t267 (@list @t213 @t260))) % 0.44/0.69 (step @p427 :rule cnf_or_neg :args (@t231 3)) % 0.44/0.69 (step @p428 :rule chain_m_resolution :premises (@p427 @p324) :args ((not @t226) @t238 @t240)) % 0.44/0.70 (step @p429 :rule refl :args (@t259)) % 0.44/0.70 (step @p430 :rule bool-double-not-elim :args (@t224)) % 0.44/0.70 (step @p431 :rule refl :args (@t226)) % 0.44/0.70 (step @p432 :rule nary_cong :premises (@p431 @p430 @p429) :args ((or @t226 (not @t225) @t259))) % 0.44/0.70 (step @p433 :rule cnf_and_neg :args (@t226)) % 0.44/0.70 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 0.44/0.70 (step @p435 :rule reordering :premises (@p434) :args ((or @t224 @t226 @t259))) % 0.44/0.70 (step @p436 :rule chain_m_resolution :premises (@p435 @p428 @p426) :args (@t224 @t267 (@list @t226 @t223))) % 0.44/0.70 (step @p437 :rule refl :args (@t225)) % 0.44/0.70 (step @p438 :rule refl :args (@t269)) % 0.44/0.70 (step @p439 :rule nary_cong :premises (@p438 @p429 @p437 @p390) :args ((or @t269 @t259 @t225 @t265))) % 0.44/0.70 (assume-push @p475 @t63) % 0.44/0.70 (assume-push @p476 @t223) % 0.44/0.70 (assume-push @p477 @t224) % 0.44/0.70 (assume-push @p478 @t239) % 0.44/0.70 (step @p444 :rule evaluate :args ((= false true))) % 0.44/0.70 (step @p445 :rule true_intro :premises (@p66)) % 0.44/0.70 (step @p446 :rule symm :premises (@p476)) % 0.44/0.70 (step @p447 :rule cong :premises (@p446) :args ((tptp.totalorderedP @t212))) % 0.44/0.70 (step @p448 :rule symm :premises (@p477)) % 0.44/0.70 (step @p449 :rule trans :premises (@p448 @p476)) % 0.44/0.70 (step @p450 :rule cong :premises (@p449) :args (@t229)) % 0.44/0.70 (step @p397 :rule false_intro :premises (@p326)) % 0.44/0.70 (step @p451 :rule symm :premises (@p397)) % 0.44/0.70 (step @p452 :rule trans :premises (@p451 @p450 @p447 @p445)) % 0.44/0.70 (step @p453 false :rule eq_resolve :premises (@p452 @p444)) % 0.44/0.70 (step-pop @p479 :rule scope :premises (@p453)) % 0.44/0.70 (step-pop @p480 :rule scope :premises (@p479)) % 0.44/0.70 (step-pop @p481 :rule scope :premises (@p480)) % 0.44/0.70 (step-pop @p482 :rule scope :premises (@p481)) % 0.44/0.70 (step @p454 :rule process_scope :premises (@p482) :args (false)) % 0.44/0.70 (step @p459 :rule not_and :premises (@p454)) % 0.44/0.70 (step @p460 :rule eq_resolve :premises (@p459 @p439)) % 0.44/0.70 (step @p461 :rule reordering :premises (@p460) :args ((or @t269 @t229 @t225 @t259))) % 0.44/0.70 (step @p462 false :rule chain_m_resolution :premises (@p461 @p436 @p426 @p326 @p66) :args (false (@list false false true false) (@list @t224 @t223 @t229 @t63))) % 0.44/0.70 ) % 0.44/0.70 % SZS output end Proof % 0.44/0.70 % cvc5 exiting %------------------------------------------------------------------------------