%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC292+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:45 AM UTC 2026 % Result : Theorem 0.37s 0.72s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC292+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:37:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.72 % SZS status Theorem % 0.37/0.72 % SZS output start Proof % 0.37/0.72 ( % 0.37/0.72 (declare-sort $$unsorted 0) % 0.37/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.nil $$unsorted) % 0.37/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.72 (define @t3 () (= @t2 @t1)) % 0.37/0.72 (define @t4 () (not @t3)) % 0.37/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.72 (define @t7 () (@list @t1)) % 0.37/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.72 (define @t9 () (@list @t2)) % 0.37/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.72 (define @t13 () (tptp.ssList @t10)) % 0.37/0.72 (define @t14 () (@list @t10)) % 0.37/0.72 (define @t15 () (tptp.ssList @t12)) % 0.37/0.72 (define @t16 () (@list @t12)) % 0.37/0.72 (define @t17 () (tptp.ssList @t2)) % 0.37/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.72 (define @t21 () (tptp.ssList @t1)) % 0.37/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.72 (define @t30 () (tptp.ssList @t27)) % 0.37/0.72 (define @t31 () (@list @t27)) % 0.37/0.72 (define @t32 () (tptp.ssList @t28)) % 0.37/0.72 (define @t33 () (@list @t28)) % 0.37/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.72 (define @t36 () (tptp.strictorderedP @t2)) % 0.37/0.72 (define @t37 () (= @t1 @t12)) % 0.37/0.72 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.37/0.72 (define @t39 () (=> @t17 @t38)) % 0.37/0.72 (define @t40 () (forall @t9 @t39)) % 0.37/0.72 (define @t41 () (tptp.cons @t1 @t2)) % 0.37/0.72 (define @t42 () (tptp.ssList tptp.nil)) % 0.37/0.72 (define @t43 () (= @t1 @t2)) % 0.37/0.72 (define @t44 () (tptp.cons @t12 @t1)) % 0.37/0.72 (define @t45 () (= tptp.nil @t2)) % 0.37/0.72 (define @t46 () (tptp.hd @t2)) % 0.37/0.72 (define @t47 () (not @t45)) % 0.37/0.72 (define @t48 () (tptp.tl @t2)) % 0.37/0.72 (define @t49 () (tptp.app @t2 @t1)) % 0.37/0.72 (define @t50 () (tptp.app @t1 @t2)) % 0.37/0.72 (define @t51 () (tptp.leq @t1 @t2)) % 0.37/0.72 (define @t52 () (tptp.leq @t2 @t1)) % 0.37/0.72 (define @t53 () (tptp.geq @t2 @t1)) % 0.37/0.72 (define @t54 () (tptp.lt @t1 @t2)) % 0.37/0.72 (define @t55 () (tptp.lt @t2 @t1)) % 0.37/0.72 (define @t56 () (tptp.lt @t2 @t12)) % 0.37/0.72 (define @t57 () (tptp.gt @t2 @t1)) % 0.37/0.72 (define @t58 () (tptp.memberP @t12 @t2)) % 0.37/0.72 (define @t59 () (tptp.app @t12 @t2)) % 0.37/0.72 (define @t60 () (tptp.cons @t2 tptp.nil)) % 0.37/0.72 (define @t61 () (tptp.hd @t1)) % 0.37/0.72 (define @t62 () (= tptp.nil @t1)) % 0.37/0.72 (define @t63 () (not @t62)) % 0.37/0.72 (define @t64 () (tptp.cons @t2 @t1)) % 0.37/0.72 (define @t65 () (tptp.strictorderedP @t60)) % 0.37/0.72 (define @t66 () (forall @t9 (=> @t8 @t65))) % 0.37/0.72 (define @t67 () (tptp.strictorderedP tptp.nil)) % 0.37/0.72 (define @t68 () (= @t12 @t2)) % 0.37/0.72 (define @t69 () (tptp.neq @t10 tptp.nil)) % 0.37/0.72 (define @t70 () (not (tptp.memberP @t10 @t28))) % 0.37/0.72 (define @t71 () (tptp.cons @t28 tptp.nil)) % 0.37/0.72 (define @t72 () (not (= @t71 @t12))) % 0.37/0.72 (define @t73 () (or @t72 @t70)) % 0.37/0.72 (define @t74 () (tptp.ssItem @t28)) % 0.37/0.72 (define @t75 () (=> @t74 @t73)) % 0.37/0.72 (define @t76 () (forall @t33 @t75)) % 0.37/0.72 (define @t77 () (and @t76 @t69)) % 0.37/0.72 (define @t78 () (not (= tptp.nil @t12))) % 0.37/0.72 (define @t79 () (and @t78 (= tptp.nil @t10))) % 0.37/0.72 (define @t80 () (not (= @t2 @t12))) % 0.37/0.72 (define @t81 () (not (= @t1 @t10))) % 0.37/0.72 (define @t82 () (or @t81 @t80 @t36 @t79 @t77)) % 0.37/0.72 (define @t83 () (=> @t13 @t82)) % 0.37/0.72 (define @t84 () (forall @t14 @t83)) % 0.37/0.72 (define @t85 () (=> @t15 @t84)) % 0.37/0.72 (define @t86 () (forall @t16 @t85)) % 0.37/0.72 (define @t87 () (=> @t21 @t86)) % 0.37/0.72 (define @t88 () (forall @t7 @t87)) % 0.37/0.72 (define @t89 () (=> @t17 @t88)) % 0.37/0.72 (define @t90 () (forall @t9 @t89)) % 0.37/0.72 (define @t91 () (not @t90)) % 0.37/0.72 (define @t92 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 0.37/0.72 (define @t93 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 0.37/0.72 (define @t94 () (and (or (not (tptp.ssItem @t93)) (not (= @t2 (tptp.cons @t93 tptp.nil))) (not (tptp.memberP @t92 @t93))) (tptp.neq @t92 tptp.nil))) % 0.37/0.72 (define @t95 () (not (= @t2 tptp.nil))) % 0.37/0.72 (define @t96 () (and @t95 (= @t92 tptp.nil))) % 0.37/0.72 (define @t97 () (not (tptp.ssList @t92))) % 0.37/0.72 (define @t98 () (not @t17)) % 0.37/0.72 (define @t99 () (or @t98 @t36 @t97 @t96 @t94)) % 0.37/0.72 (define @t100 () (or @t97 @t96 @t94)) % 0.37/0.72 (define @t101 () (or @t98 @t36 @t100)) % 0.37/0.72 (define @t102 () (@list @t2 @t92 @t93)) % 0.37/0.72 (define @t103 () (forall @t102 @t101)) % 0.37/0.72 (define @t104 () (@list @t92 @t93)) % 0.37/0.72 (define @t105 () (forall @t104 @t101)) % 0.37/0.72 (define @t106 () (forall @t104 @t100)) % 0.37/0.72 (define @t107 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 0.37/0.72 (define @t108 () (or @t98 @t36 @t106)) % 0.37/0.72 (define @t109 () (tptp.neq @t1 tptp.nil)) % 0.37/0.72 (define @t110 () (or (not (tptp.ssItem @t107)) (not (= @t2 (tptp.cons @t107 tptp.nil))) (not (tptp.memberP @t1 @t107)))) % 0.37/0.72 (define @t111 () (and @t110 @t109)) % 0.37/0.72 (define @t112 () (= @t1 tptp.nil)) % 0.37/0.72 (define @t113 () (and @t95 @t112)) % 0.37/0.72 (define @t114 () (not @t21)) % 0.37/0.72 (define @t115 () (or @t114 @t113 @t111)) % 0.37/0.72 (define @t116 () (forall (@list @t1 @t107) @t115)) % 0.37/0.72 (define @t117 () (or @t98 @t36 @t116)) % 0.37/0.72 (define @t118 () (or @t36 @t98 @t116)) % 0.37/0.72 (define @t119 () (@list @t107)) % 0.37/0.72 (define @t120 () (forall @t119 @t115)) % 0.37/0.72 (define @t121 () (forall @t119 @t109)) % 0.37/0.72 (define @t122 () (forall @t119 @t110)) % 0.37/0.72 (define @t123 () (@var "BOUND_VARIABLE_11028" $$unsorted)) % 0.37/0.72 (define @t124 () (@list @t123)) % 0.37/0.72 (define @t125 () (and @t122 @t121)) % 0.37/0.72 (define @t126 () (forall @t119 @t111)) % 0.37/0.72 (define @t127 () (or @t114 @t113 @t126)) % 0.37/0.72 (define @t128 () (and (forall (@list @t123) (or (not (tptp.ssItem @t123)) (not (= @t2 (tptp.cons @t123 tptp.nil))) (not (tptp.memberP @t1 @t123)))) @t109)) % 0.37/0.72 (define @t129 () (or @t114 @t113 @t128)) % 0.37/0.72 (define @t130 () (forall @t7 @t129)) % 0.37/0.72 (define @t131 () (or @t36 @t98 @t130)) % 0.37/0.72 (define @t132 () (or @t36 @t98 @t129)) % 0.37/0.72 (define @t133 () (or @t114 @t36 @t98 @t113 @t128)) % 0.37/0.72 (define @t134 () (or @t36 @t114 @t98 @t113 @t128)) % 0.37/0.72 (define @t135 () (@var "BOUND_VARIABLE_10999" $$unsorted)) % 0.37/0.72 (define @t136 () (@list @t135)) % 0.37/0.72 (define @t137 () (forall @t136 @t109)) % 0.37/0.72 (define @t138 () (not (tptp.memberP @t1 @t135))) % 0.37/0.72 (define @t139 () (tptp.cons @t135 tptp.nil)) % 0.37/0.72 (define @t140 () (not (tptp.ssItem @t135))) % 0.37/0.72 (define @t141 () (or @t140 (not (= @t2 @t139)) @t138)) % 0.37/0.72 (define @t142 () (forall @t136 @t141)) % 0.37/0.72 (define @t143 () (@list @t135)) % 0.37/0.72 (define @t144 () (and @t142 @t137)) % 0.37/0.72 (define @t145 () (and @t141 @t109)) % 0.37/0.72 (define @t146 () (forall @t136 @t145)) % 0.37/0.72 (define @t147 () (or @t98 @t113 @t146)) % 0.37/0.72 (define @t148 () (or @t98 @t113 @t145)) % 0.37/0.72 (define @t149 () (not (= @t2 @t2))) % 0.37/0.72 (define @t150 () (or @t98 @t149 @t113 @t145)) % 0.37/0.72 (define @t151 () (or @t140 (not (= @t12 @t139)) @t138)) % 0.37/0.72 (define @t152 () (and @t151 @t109)) % 0.37/0.72 (define @t153 () (not (= @t12 tptp.nil))) % 0.37/0.72 (define @t154 () (and @t153 @t112)) % 0.37/0.72 (define @t155 () (not @t15)) % 0.37/0.72 (define @t156 () (or @t80 @t155 @t80 @t154 @t152)) % 0.37/0.72 (define @t157 () (or @t155 @t80 @t154 @t152)) % 0.37/0.72 (define @t158 () (forall @t16 @t157)) % 0.37/0.72 (define @t159 () (forall @t136 @t158)) % 0.37/0.72 (define @t160 () (forall (@list @t135 @t12) @t157)) % 0.37/0.72 (define @t161 () (forall (@list @t12 @t135) @t157)) % 0.37/0.72 (define @t162 () (forall @t136 @t157)) % 0.37/0.72 (define @t163 () (forall @t136 @t151)) % 0.37/0.72 (define @t164 () (@var "BOUND_VARIABLE_10974" $$unsorted)) % 0.37/0.72 (define @t165 () (@list @t164)) % 0.37/0.72 (define @t166 () (and @t163 @t137)) % 0.37/0.72 (define @t167 () (forall @t136 @t152)) % 0.37/0.72 (define @t168 () (or @t155 @t80 @t154 @t167)) % 0.37/0.72 (define @t169 () (and (forall (@list @t164) (or (not (tptp.ssItem @t164)) (not (= @t12 (tptp.cons @t164 tptp.nil))) (not (tptp.memberP @t1 @t164)))) @t109)) % 0.37/0.72 (define @t170 () (or @t155 @t80 @t154 @t169)) % 0.37/0.72 (define @t171 () (forall @t16 @t170)) % 0.37/0.72 (define @t172 () (or @t36 @t114 @t171)) % 0.37/0.72 (define @t173 () (or @t36 @t114 @t170)) % 0.37/0.72 (define @t174 () (or @t155 @t80 @t36 @t114 @t154 @t169)) % 0.37/0.72 (define @t175 () (or @t80 @t36 @t114 @t154 @t169)) % 0.37/0.72 (define @t176 () (@var "BOUND_VARIABLE_10946" $$unsorted)) % 0.37/0.72 (define @t177 () (@list @t176)) % 0.37/0.72 (define @t178 () (forall @t177 @t109)) % 0.37/0.72 (define @t179 () (not (= @t12 (tptp.cons @t176 tptp.nil)))) % 0.37/0.72 (define @t180 () (not (tptp.ssItem @t176))) % 0.37/0.72 (define @t181 () (or @t180 @t179 (not (tptp.memberP @t1 @t176)))) % 0.37/0.72 (define @t182 () (forall @t177 @t181)) % 0.37/0.72 (define @t183 () (@list @t176)) % 0.37/0.72 (define @t184 () (and @t182 @t178)) % 0.37/0.72 (define @t185 () (and @t181 @t109)) % 0.37/0.72 (define @t186 () (forall @t177 @t185)) % 0.37/0.72 (define @t187 () (or @t114 @t154 @t186)) % 0.37/0.72 (define @t188 () (or @t114 @t154 @t185)) % 0.37/0.72 (define @t189 () (not (= @t1 @t1))) % 0.37/0.72 (define @t190 () (or @t114 @t189 @t154 @t185)) % 0.37/0.72 (define @t191 () (or @t180 @t179 (not (tptp.memberP @t10 @t176)))) % 0.37/0.72 (define @t192 () (and @t191 @t69)) % 0.37/0.72 (define @t193 () (and @t153 (= @t10 tptp.nil))) % 0.37/0.72 (define @t194 () (not @t13)) % 0.37/0.72 (define @t195 () (or @t81 @t194 @t81 @t193 @t192)) % 0.37/0.72 (define @t196 () (or @t194 @t81 @t193 @t192)) % 0.37/0.72 (define @t197 () (forall @t14 @t196)) % 0.37/0.72 (define @t198 () (forall @t177 @t197)) % 0.37/0.72 (define @t199 () (forall (@list @t176 @t10) @t196)) % 0.37/0.72 (define @t200 () (forall (@list @t10 @t176) @t196)) % 0.37/0.72 (define @t201 () (forall @t177 @t196)) % 0.37/0.72 (define @t202 () (forall @t177 @t69)) % 0.37/0.72 (define @t203 () (forall @t177 @t191)) % 0.37/0.72 (define @t204 () (and @t203 @t202)) % 0.37/0.72 (define @t205 () (forall @t177 @t192)) % 0.37/0.72 (define @t206 () (or @t194 @t81 @t193 @t205)) % 0.37/0.72 (define @t207 () (not (= @t12 @t71))) % 0.37/0.72 (define @t208 () (not @t74)) % 0.37/0.72 (define @t209 () (or @t208 @t207 @t70)) % 0.37/0.72 (define @t210 () (and (forall @t33 @t209) @t69)) % 0.37/0.72 (define @t211 () (or @t194 @t81 @t193 @t210)) % 0.37/0.72 (define @t212 () (forall @t14 @t211)) % 0.37/0.72 (define @t213 () (or @t80 @t36 @t212)) % 0.37/0.72 (define @t214 () (or @t80 @t36 @t211)) % 0.37/0.72 (define @t215 () (or @t194 @t81 @t80 @t36 @t193 @t210)) % 0.37/0.72 (define @t216 () (or @t81 @t80 @t36 @t193 @t210)) % 0.37/0.72 (define @t217 () (or @t207 @t70)) % 0.37/0.72 (define @t218 () (forall @t102 (or @t98 @t36 @t97 (and @t95 (= tptp.nil @t92)) @t94))) % 0.37/0.72 (define @t219 () (@quantifiers_skolemize @t218 1)) % 0.37/0.72 (define @t220 () (tptp.neq @t219 tptp.nil)) % 0.37/0.72 (define @t221 () (@quantifiers_skolemize @t218 2)) % 0.37/0.72 (define @t222 () (tptp.cons @t221 tptp.nil)) % 0.37/0.72 (define @t223 () (@quantifiers_skolemize @t218 0)) % 0.37/0.72 (define @t224 () (= @t223 @t222)) % 0.37/0.72 (define @t225 () (not @t224)) % 0.37/0.72 (define @t226 () (tptp.ssItem @t221)) % 0.37/0.72 (define @t227 () (not @t226)) % 0.37/0.72 (define @t228 () (or @t227 @t225 (not (tptp.memberP @t219 @t221)))) % 0.37/0.72 (define @t229 () (and @t228 @t220)) % 0.37/0.72 (define @t230 () (= tptp.nil @t219)) % 0.37/0.72 (define @t231 () (= tptp.nil @t223)) % 0.37/0.72 (define @t232 () (not @t231)) % 0.37/0.72 (define @t233 () (and @t232 @t230)) % 0.37/0.72 (define @t234 () (tptp.ssList @t219)) % 0.37/0.72 (define @t235 () (not @t234)) % 0.37/0.72 (define @t236 () (tptp.strictorderedP @t223)) % 0.37/0.72 (define @t237 () (not (tptp.ssList @t223))) % 0.37/0.72 (define @t238 () (or @t237 @t236 @t235 @t233 @t229)) % 0.37/0.72 (define @t239 () (not @t238)) % 0.37/0.72 (define @t240 () (not @t218)) % 0.37/0.72 (define @t241 () (not (= @t223 tptp.nil))) % 0.37/0.72 (define @t242 () (and @t241 @t230)) % 0.37/0.72 (define @t243 () (or @t237 @t236 @t235 @t242 @t229)) % 0.37/0.72 (define @t244 () (not @t243)) % 0.37/0.72 (define @t245 () (@list true)) % 0.37/0.72 (define @t246 () (not @t236)) % 0.37/0.72 (define @t247 () (@list @t238)) % 0.37/0.72 (define @t248 () (@var "BOUND_VARIABLE_9102" $$unsorted)) % 0.37/0.72 (define @t249 () (= (tptp.neq @t2 @t248) (not (= @t2 @t248)))) % 0.37/0.72 (define @t250 () (not (tptp.ssList @t248))) % 0.37/0.72 (define @t251 () (or @t98 @t250 @t249)) % 0.37/0.72 (define @t252 () (or @t250 @t249)) % 0.37/0.72 (define @t253 () (or @t98 @t252)) % 0.37/0.72 (define @t254 () (@list @t2 @t248)) % 0.37/0.72 (define @t255 () (forall @t254 @t253)) % 0.37/0.72 (define @t256 () (@list @t248)) % 0.37/0.72 (define @t257 () (forall @t256 @t253)) % 0.37/0.72 (define @t258 () (forall @t256 @t252)) % 0.37/0.72 (define @t259 () (or @t98 @t258)) % 0.37/0.72 (define @t260 () (forall @t7 (or @t114 @t5))) % 0.37/0.72 (define @t261 () (not (= @t219 tptp.nil))) % 0.37/0.72 (define @t262 () (= @t220 @t261)) % 0.37/0.72 (define @t263 () (not @t42)) % 0.37/0.72 (define @t264 () (or @t235 @t263 @t262)) % 0.37/0.72 (define @t265 () (forall @t254 @t251)) % 0.37/0.72 (define @t266 () (not @t230)) % 0.37/0.72 (define @t267 () (= @t220 @t266)) % 0.37/0.72 (define @t268 () (or @t235 @t263 @t267)) % 0.37/0.72 (define @t269 () (tptp.strictorderedP @t222)) % 0.37/0.72 (define @t270 () (or @t227 @t269)) % 0.37/0.72 (define @t271 () (not @t269)) % 0.37/0.72 (define @t272 () (not @t246)) % 0.37/0.72 (define @t273 () (and @t224 @t246)) % 0.37/0.72 (define @t274 () (@list true false)) % 0.37/0.72 (define @t275 () (not @t267)) % 0.37/0.72 (define @t276 () (not @t67)) % 0.37/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.72 (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))))))))))) % 0.37/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.72 (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))))))))))))))))) % 0.37/0.72 (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)))))))))))))))) % 0.37/0.72 (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))))))))))))))))) % 0.37/0.72 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.37/0.72 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.37/0.72 (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)))))))))))))))) % 0.37/0.72 (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))))))))))))) % 0.37/0.72 (assume @p15 @t40) % 0.37/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.37/0.72 (assume @p17 @t42) % 0.37/0.72 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.37/0.72 (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))))))))))) % 0.37/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.37/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.37/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.37/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.37/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.37/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.37/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.37/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.37/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.37/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.37/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.37/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.37/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.37/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.37/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.37/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.72 (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)))))))))))) % 0.37/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.37/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1))))))))) % 0.37/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.37/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t59 @t10) @t1))))))))))) % 0.37/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.37/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t60)))) % 0.37/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t60)))) % 0.37/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t60)))) % 0.37/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t60)))) % 0.37/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t64) (or @t62 (and @t63 (tptp.totalorderedP @t1) (tptp.leq @t2 @t61))))))))) % 0.37/0.72 (assume @p68 @t66) % 0.37/0.72 (assume @p69 @t67) % 0.37/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t64) (or @t62 (and @t63 (tptp.strictorderedP @t1) (tptp.lt @t2 @t61))))))))) % 0.37/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t60)))) % 0.37/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t60)))) % 0.37/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.37/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 0.37/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t63 @t47 (= @t61 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 0.37/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 0.37/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t68)))))))) % 0.37/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t68)))))))) % 0.37/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 0.37/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.72 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t62 @t45))))))) % 0.37/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.72 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 0.37/0.72 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 0.37/0.72 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.72 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.72 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.72 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 0.37/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.37/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.37/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.72 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.72 (assume @p96 @t91) % 0.37/0.72 (assume @p97 true) % 0.37/0.72 (step @p98 :rule refl :args (@t94)) % 0.37/0.72 (step @p99 :rule eq-symm :args (@t92 tptp.nil)) % 0.37/0.72 (step @p100 :rule refl :args (@t95)) % 0.37/0.72 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t96)) % 0.37/0.72 (step @p102 :rule 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(step @p366 :rule cong :premises (@p365 @p364) :args ((=> @t265 @t264))) % 0.37/0.72 (assume-push @p477 @t265) % 0.37/0.72 (step @p368 :rule instantiate :premises (@p358) :args ((@list @t219 tptp.nil))) % 0.37/0.72 (step-pop @p478 :rule scope :premises (@p368)) % 0.37/0.72 (step @p369 :rule process_scope :premises (@p478) :args (@t264)) % 0.37/0.72 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 0.37/0.72 (step @p372 :rule implies_elim :premises (@p371)) % 0.37/0.72 (step @p373 :rule chain_m_resolution :premises (@p372 @p358) :args (@t268 (@list false) (@list @t265))) % 0.37/0.72 (step @p374 :rule bool-double-not-elim :args (@t234)) % 0.37/0.72 (step @p375 :rule refl :args (@t238)) % 0.37/0.72 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t238 (not @t235)))) % 0.37/0.72 (step @p377 :rule cnf_or_neg :args (@t238 2)) % 0.37/0.72 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.37/0.72 (step @p379 :rule reordering :premises (@p378) :args ((or @t234 @t238))) % 0.37/0.72 (step @p380 :rule chain_m_resolution :premises (@p379 @p336) :args (@t234 @t245 @t247)) % 0.37/0.72 (step @p381 :rule cnf_or_pos :args (@t268)) % 0.37/0.72 (step @p382 :rule reordering :premises (@p381) :args ((or @t263 @t235 @t267 (not @t268)))) % 0.37/0.72 (step @p383 :rule chain_m_resolution :premises (@p382 @p17 @p380 @p373) :args (@t267 (@list false false false) (@list @t42 @t234 @t268))) % 0.37/0.72 (step @p384 :rule bool-double-not-elim :args (@t226)) % 0.37/0.72 (step @p385 :rule refl :args (@t228)) % 0.37/0.72 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t228 (not @t227)))) % 0.37/0.72 (step @p387 :rule cnf_or_neg :args (@t228 0)) % 0.37/0.72 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.37/0.72 (step @p389 :rule reordering :premises (@p388) :args ((or @t226 @t228))) % 0.37/0.72 (step @p390 :rule bool-double-not-elim :args (@t224)) % 0.37/0.72 (step @p391 :rule nary_cong :premises (@p385 @p390) :args ((or @t228 (not @t225)))) % 0.37/0.72 (step @p392 :rule cnf_or_neg :args (@t228 1)) % 0.37/0.72 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 0.37/0.72 (step @p394 :rule reordering :premises (@p393) :args ((or @t224 @t228))) % 0.37/0.72 (step @p395 :rule bool-impl-elim :args (@t8 @t65)) % 0.37/0.72 (step @p396 :rule cong :premises (@p395) :args (@t66)) % 0.37/0.72 (step @p397 :rule eq_resolve :premises (@p68 @p396)) % 0.37/0.72 (step @p398 :rule instantiate :premises (@p397) :args ((@list @t221))) % 0.37/0.72 (step @p399 :rule cnf_or_pos :args (@t270)) % 0.37/0.72 (step @p400 :rule reordering :premises (@p399) :args ((or @t227 @t269 (not @t270)))) % 0.37/0.72 (step @p401 :rule refl :args (@t271)) % 0.37/0.72 (step @p402 :rule bool-double-not-elim :args (@t236)) % 0.37/0.72 (step @p403 :rule refl :args (@t225)) % 0.37/0.72 (step @p404 :rule nary_cong :premises (@p403 @p402 @p401) :args ((or @t225 @t272 @t271))) % 0.37/0.72 (assume-push @p479 @t224) % 0.37/0.72 (assume-push @p480 @t246) % 0.37/0.72 (assume-push @p481 @t246) % 0.37/0.72 (assume-push @p482 @t224) % 0.37/0.72 (step @p409 :rule false_intro :premises (@p338)) % 0.37/0.72 (step @p410 :rule symm :premises (@p479)) % 0.37/0.72 (step @p411 :rule cong :premises (@p410) :args (@t269)) % 0.37/0.72 (step @p412 :rule trans :premises (@p411 @p409)) % 0.37/0.72 (step @p413 :rule false_elim :premises (@p412)) % 0.37/0.72 (step-pop @p483 :rule scope :premises (@p413)) % 0.37/0.72 (step-pop @p484 :rule scope :premises (@p483)) % 0.37/0.72 (step @p414 :rule process_scope :premises (@p484) :args (@t271)) % 0.37/0.72 (step @p417 :rule and_intro :premises (@p338 @p479)) % 0.37/0.72 (step @p418 :rule modus_ponens :premises (@p417 @p414)) % 0.37/0.72 (step-pop @p485 :rule scope :premises (@p418)) % 0.37/0.72 (step-pop @p486 :rule scope :premises (@p485)) % 0.37/0.72 (step @p419 :rule process_scope :premises (@p486) :args (@t271)) % 0.37/0.72 (step @p422 :rule implies_elim :premises (@p419)) % 0.37/0.72 (step @p423 :rule cnf_and_neg :args (@t273)) % 0.37/0.72 (step @p424 :rule resolution :premises (@p423 @p422) :args (true @t273)) % 0.37/0.72 (step @p425 :rule eq_resolve :premises (@p424 @p404)) % 0.37/0.72 (step @p426 :rule reordering :premises (@p425) :args ((or @t236 @t225 @t271))) % 0.37/0.72 (step @p427 :rule chain_m_resolution :premises (@p426 @p338 @p400 @p398 @p394 @p389) :args (@t228 (@list true false false false false) (@list @t236 @t269 @t270 @t224 @t226))) % 0.37/0.72 (step @p428 :rule cnf_or_neg :args (@t238 4)) % 0.37/0.72 (step @p429 :rule chain_m_resolution :premises (@p428 @p336) :args ((not @t229) @t245 @t247)) % 0.37/0.72 (step @p430 :rule cnf_and_neg :args (@t229)) % 0.37/0.72 (step @p431 :rule chain_m_resolution :premises (@p430 @p429 @p427) :args ((not @t220) @t274 (@list @t229 @t228))) % 0.37/0.72 (step @p432 :rule bool-double-not-elim :args (@t230)) % 0.37/0.72 (step @p433 :rule refl :args (@t275)) % 0.37/0.72 (step @p434 :rule nary_cong :premises (@p433 @p361 @p432) :args ((or @t275 @t220 (not @t266)))) % 0.37/0.72 (step @p435 :rule cnf_equiv_pos2 :args (@t267)) % 0.37/0.72 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 0.37/0.72 (step @p437 :rule reordering :premises (@p436) :args ((or @t230 @t220 @t275))) % 0.37/0.72 (step @p438 :rule chain_m_resolution :premises (@p437 @p431 @p383) :args (@t230 @t274 (@list @t220 @t267))) % 0.37/0.72 (step @p439 :rule cnf_or_neg :args (@t238 3)) % 0.37/0.72 (step @p440 :rule chain_m_resolution :premises (@p439 @p336) :args ((not @t233) @t245 @t247)) % 0.37/0.72 (step @p441 :rule refl :args (@t266)) % 0.37/0.72 (step @p442 :rule bool-double-not-elim :args (@t231)) % 0.37/0.72 (step @p443 :rule refl :args (@t233)) % 0.37/0.72 (step @p444 :rule nary_cong :premises (@p443 @p442 @p441) :args ((or @t233 (not @t232) @t266))) % 0.37/0.72 (step @p445 :rule cnf_and_neg :args (@t233)) % 0.37/0.72 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 0.37/0.72 (step @p447 :rule reordering :premises (@p446) :args ((or @t231 @t233 @t266))) % 0.37/0.72 (step @p448 :rule chain_m_resolution :premises (@p447 @p440 @p438) :args (@t231 @t274 (@list @t233 @t230))) % 0.37/0.72 (step @p449 :rule refl :args (@t232)) % 0.37/0.72 (step @p450 :rule refl :args (@t276)) % 0.37/0.72 (step @p451 :rule nary_cong :premises (@p450 @p441 @p449 @p402) :args ((or @t276 @t266 @t232 @t272))) % 0.37/0.72 (assume-push @p487 @t67) % 0.37/0.72 (assume-push @p488 @t230) % 0.37/0.72 (assume-push @p489 @t231) % 0.37/0.72 (assume-push @p490 @t246) % 0.37/0.72 (step @p456 :rule evaluate :args ((= false true))) % 0.37/0.72 (step @p457 :rule true_intro :premises (@p69)) % 0.37/0.72 (step @p458 :rule symm :premises (@p488)) % 0.37/0.72 (step @p459 :rule cong :premises (@p458) :args ((tptp.strictorderedP @t219))) % 0.37/0.72 (step @p460 :rule symm :premises (@p489)) % 0.37/0.72 (step @p461 :rule trans :premises (@p460 @p488)) % 0.37/0.72 (step @p462 :rule cong :premises (@p461) :args (@t236)) % 0.37/0.72 (step @p409 :rule false_intro :premises (@p338)) % 0.37/0.72 (step @p463 :rule symm :premises (@p409)) % 0.37/0.72 (step @p464 :rule trans :premises (@p463 @p462 @p459 @p457)) % 0.37/0.72 (step @p465 false :rule eq_resolve :premises (@p464 @p456)) % 0.37/0.72 (step-pop @p491 :rule scope :premises (@p465)) % 0.37/0.72 (step-pop @p492 :rule scope :premises (@p491)) % 0.37/0.72 (step-pop @p493 :rule scope :premises (@p492)) % 0.37/0.72 (step-pop @p494 :rule scope :premises (@p493)) % 0.37/0.72 (step @p466 :rule process_scope :premises (@p494) :args (false)) % 0.37/0.72 (step @p471 :rule not_and :premises (@p466)) % 0.37/0.72 (step @p472 :rule eq_resolve :premises (@p471 @p451)) % 0.37/0.72 (step @p473 :rule reordering :premises (@p472) :args ((or @t276 @t236 @t232 @t266))) % 0.37/0.72 (step @p474 false :rule chain_m_resolution :premises (@p473 @p448 @p438 @p338 @p69) :args (false (@list false false true false) (@list @t231 @t230 @t236 @t67))) % 0.37/0.72 ) % 0.37/0.72 % SZS output end Proof % 0.37/0.72 % cvc5 exiting %------------------------------------------------------------------------------