%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC069+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 08:57:55 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC069+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 % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:12:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.nil $$unsorted) % 0.52/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.70 (define @t3 () (= @t2 @t1)) % 0.52/0.70 (define @t4 () (not @t3)) % 0.52/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.70 (define @t7 () (@list @t1)) % 0.52/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.70 (define @t9 () (@list @t2)) % 0.52/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.70 (define @t13 () (tptp.ssList @t10)) % 0.52/0.70 (define @t14 () (@list @t10)) % 0.52/0.70 (define @t15 () (tptp.ssList @t12)) % 0.52/0.70 (define @t16 () (@list @t12)) % 0.52/0.70 (define @t17 () (tptp.ssList @t2)) % 0.52/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.70 (define @t21 () (tptp.ssList @t1)) % 0.52/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.70 (define @t30 () (tptp.ssList @t27)) % 0.52/0.70 (define @t31 () (@list @t27)) % 0.52/0.70 (define @t32 () (tptp.ssList @t28)) % 0.52/0.70 (define @t33 () (@list @t28)) % 0.52/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.70 (define @t36 () (= @t1 @t12)) % 0.52/0.70 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.52/0.70 (define @t38 () (=> @t17 @t37)) % 0.52/0.70 (define @t39 () (forall @t9 @t38)) % 0.52/0.70 (define @t40 () (tptp.cons @t1 @t2)) % 0.52/0.70 (define @t41 () (tptp.ssList tptp.nil)) % 0.52/0.70 (define @t42 () (= @t1 @t2)) % 0.52/0.70 (define @t43 () (tptp.cons @t12 @t1)) % 0.52/0.70 (define @t44 () (= tptp.nil @t2)) % 0.52/0.70 (define @t45 () (tptp.hd @t2)) % 0.52/0.70 (define @t46 () (not @t44)) % 0.52/0.70 (define @t47 () (tptp.tl @t2)) % 0.52/0.70 (define @t48 () (tptp.app @t2 @t1)) % 0.52/0.70 (define @t49 () (tptp.app @t1 @t2)) % 0.52/0.70 (define @t50 () (tptp.leq @t1 @t2)) % 0.52/0.70 (define @t51 () (tptp.leq @t2 @t1)) % 0.52/0.70 (define @t52 () (tptp.geq @t2 @t1)) % 0.52/0.70 (define @t53 () (tptp.lt @t1 @t2)) % 0.52/0.70 (define @t54 () (tptp.lt @t2 @t1)) % 0.52/0.70 (define @t55 () (tptp.lt @t2 @t12)) % 0.52/0.70 (define @t56 () (tptp.gt @t2 @t1)) % 0.52/0.70 (define @t57 () (tptp.memberP @t12 @t2)) % 0.52/0.70 (define @t58 () (tptp.app @t12 @t2)) % 0.52/0.70 (define @t59 () (tptp.cons @t2 tptp.nil)) % 0.52/0.70 (define @t60 () (tptp.hd @t1)) % 0.52/0.70 (define @t61 () (= tptp.nil @t1)) % 0.52/0.70 (define @t62 () (not @t61)) % 0.52/0.70 (define @t63 () (tptp.cons @t2 @t1)) % 0.52/0.70 (define @t64 () (= @t12 @t2)) % 0.52/0.70 (define @t65 () (and @t61 @t44)) % 0.52/0.70 (define @t66 () (tptp.neq @t10 tptp.nil)) % 0.52/0.70 (define @t67 () (not (tptp.segmentP @t12 @t27))) % 0.52/0.70 (define @t68 () (not (tptp.segmentP @t10 @t27))) % 0.52/0.70 (define @t69 () (not (tptp.neq @t27 tptp.nil))) % 0.52/0.70 (define @t70 () (or @t69 @t68 @t67)) % 0.52/0.70 (define @t71 () (forall @t31 (=> @t30 @t70))) % 0.52/0.70 (define @t72 () (and @t71 @t66)) % 0.52/0.70 (define @t73 () (not (= tptp.nil @t12))) % 0.52/0.70 (define @t74 () (and @t73 (= tptp.nil @t10))) % 0.52/0.70 (define @t75 () (tptp.segmentP @t2 @t28)) % 0.52/0.70 (define @t76 () (tptp.segmentP @t1 @t28)) % 0.52/0.70 (define @t77 () (tptp.neq @t28 tptp.nil)) % 0.52/0.70 (define @t78 () (and @t32 @t77 @t76 @t75)) % 0.52/0.70 (define @t79 () (exists @t33 @t78)) % 0.52/0.70 (define @t80 () (not (= @t2 @t12))) % 0.52/0.70 (define @t81 () (not (= @t1 @t10))) % 0.52/0.70 (define @t82 () (or @t81 @t80 @t79 @t74 @t65 @t72)) % 0.52/0.70 (define @t83 () (=> @t13 @t82)) % 0.52/0.70 (define @t84 () (forall @t14 @t83)) % 0.52/0.70 (define @t85 () (=> @t15 @t84)) % 0.52/0.70 (define @t86 () (forall @t16 @t85)) % 0.52/0.70 (define @t87 () (=> @t21 @t86)) % 0.52/0.70 (define @t88 () (forall @t7 @t87)) % 0.52/0.70 (define @t89 () (=> @t17 @t88)) % 0.52/0.70 (define @t90 () (forall @t9 @t89)) % 0.52/0.70 (define @t91 () (not @t90)) % 0.52/0.70 (define @t92 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.52/0.70 (define @t93 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 0.52/0.70 (define @t94 () (and (or (not (tptp.ssList @t93)) (not (tptp.neq @t93 tptp.nil)) (not (tptp.segmentP @t92 @t93)) (not (tptp.segmentP @t2 @t93))) (tptp.neq @t92 tptp.nil))) % 0.52/0.70 (define @t95 () (= @t2 tptp.nil)) % 0.52/0.70 (define @t96 () (not @t95)) % 0.52/0.70 (define @t97 () (= @t92 tptp.nil)) % 0.52/0.70 (define @t98 () (and @t96 @t97)) % 0.52/0.70 (define @t99 () (and @t97 @t95)) % 0.52/0.70 (define @t100 () (not @t75)) % 0.52/0.70 (define @t101 () (not @t77)) % 0.52/0.70 (define @t102 () (not @t32)) % 0.52/0.70 (define @t103 () (not (forall @t33 (or @t102 @t101 (not (tptp.segmentP @t92 @t28)) @t100)))) % 0.52/0.70 (define @t104 () (not (tptp.ssList @t92))) % 0.52/0.70 (define @t105 () (not @t17)) % 0.52/0.70 (define @t106 () (or @t105 @t104 @t103 @t99 @t98 @t94)) % 0.52/0.70 (define @t107 () (or @t104 @t103 @t99 @t98 @t94)) % 0.52/0.70 (define @t108 () (or @t105 @t107)) % 0.52/0.70 (define @t109 () (@list @t2 @t92 @t93)) % 0.52/0.70 (define @t110 () (forall @t109 @t108)) % 0.52/0.70 (define @t111 () (@list @t92 @t93)) % 0.52/0.70 (define @t112 () (forall @t111 @t108)) % 0.52/0.70 (define @t113 () (forall @t111 @t107)) % 0.52/0.70 (define @t114 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 0.52/0.70 (define @t115 () (or @t105 @t113)) % 0.52/0.70 (define @t116 () (tptp.neq @t1 tptp.nil)) % 0.52/0.70 (define @t117 () (or (not (tptp.ssList @t114)) (not (tptp.neq @t114 tptp.nil)) (not (tptp.segmentP @t1 @t114)) (not (tptp.segmentP @t2 @t114)))) % 0.52/0.70 (define @t118 () (and @t117 @t116)) % 0.52/0.70 (define @t119 () (= @t1 tptp.nil)) % 0.52/0.70 (define @t120 () (and @t96 @t119)) % 0.52/0.70 (define @t121 () (and @t119 @t95)) % 0.52/0.70 (define @t122 () (not @t76)) % 0.52/0.70 (define @t123 () (or @t102 @t101 @t122 @t100)) % 0.52/0.70 (define @t124 () (not (forall @t33 @t123))) % 0.52/0.70 (define @t125 () (not @t21)) % 0.52/0.70 (define @t126 () (or @t125 @t124 @t121 @t120 @t118)) % 0.52/0.70 (define @t127 () (forall (@list @t1 @t114) @t126)) % 0.52/0.70 (define @t128 () (or @t105 @t127)) % 0.52/0.70 (define @t129 () (@list @t114)) % 0.52/0.70 (define @t130 () (forall @t129 @t126)) % 0.52/0.70 (define @t131 () (forall @t129 @t116)) % 0.52/0.70 (define @t132 () (forall @t129 @t117)) % 0.52/0.70 (define @t133 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 0.52/0.70 (define @t134 () (@list @t133)) % 0.52/0.70 (define @t135 () (and @t132 @t131)) % 0.52/0.70 (define @t136 () (forall @t129 @t118)) % 0.52/0.70 (define @t137 () (or @t125 @t124 @t121 @t120 @t136)) % 0.52/0.70 (define @t138 () (and (forall (@list @t133) (or (not (tptp.ssList @t133)) (not (tptp.neq @t133 tptp.nil)) (not (tptp.segmentP @t1 @t133)) (not (tptp.segmentP @t2 @t133)))) @t116)) % 0.52/0.70 (define @t139 () (or @t125 @t124 @t121 @t120 @t138)) % 0.52/0.70 (define @t140 () (forall @t7 @t139)) % 0.52/0.70 (define @t141 () (or @t105 @t140)) % 0.52/0.70 (define @t142 () (or @t105 @t139)) % 0.52/0.70 (define @t143 () (or @t125 @t124 @t121 @t105 @t120 @t138)) % 0.52/0.70 (define @t144 () (or @t124 @t121 @t125 @t105 @t120 @t138)) % 0.52/0.70 (define @t145 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 0.52/0.70 (define @t146 () (@list @t145)) % 0.52/0.70 (define @t147 () (forall @t146 @t116)) % 0.52/0.70 (define @t148 () (not (tptp.segmentP @t1 @t145))) % 0.52/0.70 (define @t149 () (not (tptp.neq @t145 tptp.nil))) % 0.52/0.70 (define @t150 () (not (tptp.ssList @t145))) % 0.52/0.70 (define @t151 () (or @t150 @t149 @t148 (not (tptp.segmentP @t2 @t145)))) % 0.52/0.70 (define @t152 () (forall @t146 @t151)) % 0.52/0.70 (define @t153 () (@list @t145)) % 0.52/0.70 (define @t154 () (and @t152 @t147)) % 0.52/0.70 (define @t155 () (and @t151 @t116)) % 0.52/0.70 (define @t156 () (forall @t146 @t155)) % 0.52/0.70 (define @t157 () (or @t105 @t120 @t156)) % 0.52/0.70 (define @t158 () (or @t105 @t120 @t155)) % 0.52/0.70 (define @t159 () (not (= @t2 @t2))) % 0.52/0.70 (define @t160 () (or @t105 @t159 @t120 @t155)) % 0.52/0.70 (define @t161 () (or @t150 @t149 @t148 (not (tptp.segmentP @t12 @t145)))) % 0.52/0.70 (define @t162 () (and @t161 @t116)) % 0.52/0.70 (define @t163 () (not (= @t12 tptp.nil))) % 0.52/0.70 (define @t164 () (and @t163 @t119)) % 0.52/0.70 (define @t165 () (not @t15)) % 0.52/0.70 (define @t166 () (or @t80 @t165 @t80 @t164 @t162)) % 0.52/0.70 (define @t167 () (or @t165 @t80 @t164 @t162)) % 0.52/0.70 (define @t168 () (forall @t16 @t167)) % 0.52/0.70 (define @t169 () (forall @t146 @t168)) % 0.52/0.70 (define @t170 () (forall (@list @t145 @t12) @t167)) % 0.52/0.70 (define @t171 () (forall (@list @t12 @t145) @t167)) % 0.52/0.70 (define @t172 () (forall @t146 @t167)) % 0.52/0.70 (define @t173 () (forall @t146 @t161)) % 0.52/0.70 (define @t174 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 0.52/0.70 (define @t175 () (@list @t174)) % 0.52/0.70 (define @t176 () (and @t173 @t147)) % 0.52/0.70 (define @t177 () (forall @t146 @t162)) % 0.52/0.70 (define @t178 () (or @t165 @t80 @t164 @t177)) % 0.52/0.70 (define @t179 () (and (forall (@list @t174) (or (not (tptp.ssList @t174)) (not (tptp.neq @t174 tptp.nil)) (not (tptp.segmentP @t1 @t174)) (not (tptp.segmentP @t12 @t174)))) @t116)) % 0.52/0.70 (define @t180 () (or @t165 @t80 @t164 @t179)) % 0.52/0.70 (define @t181 () (forall @t16 @t180)) % 0.52/0.70 (define @t182 () (or @t124 @t121 @t125 @t181)) % 0.52/0.70 (define @t183 () (or @t124 @t121 @t125 @t180)) % 0.52/0.70 (define @t184 () (or @t165 @t80 @t124 @t121 @t125 @t164 @t179)) % 0.52/0.70 (define @t185 () (or @t80 @t124 @t121 @t125 @t164 @t179)) % 0.52/0.70 (define @t186 () (@var "BOUND_VARIABLE_10954" $$unsorted)) % 0.52/0.70 (define @t187 () (@list @t186)) % 0.52/0.70 (define @t188 () (forall @t187 @t116)) % 0.52/0.70 (define @t189 () (not (tptp.segmentP @t12 @t186))) % 0.52/0.70 (define @t190 () (not (tptp.neq @t186 tptp.nil))) % 0.52/0.70 (define @t191 () (not (tptp.ssList @t186))) % 0.52/0.70 (define @t192 () (or @t191 @t190 (not (tptp.segmentP @t1 @t186)) @t189)) % 0.52/0.70 (define @t193 () (forall @t187 @t192)) % 0.52/0.70 (define @t194 () (@list @t186)) % 0.52/0.70 (define @t195 () (and @t193 @t188)) % 0.52/0.70 (define @t196 () (and @t192 @t116)) % 0.52/0.70 (define @t197 () (forall @t187 @t196)) % 0.52/0.70 (define @t198 () (or @t125 @t164 @t197)) % 0.52/0.70 (define @t199 () (or @t125 @t164 @t196)) % 0.52/0.70 (define @t200 () (not (= @t1 @t1))) % 0.52/0.70 (define @t201 () (or @t125 @t200 @t164 @t196)) % 0.52/0.70 (define @t202 () (or @t191 @t190 (not (tptp.segmentP @t10 @t186)) @t189)) % 0.52/0.70 (define @t203 () (and @t202 @t66)) % 0.52/0.70 (define @t204 () (and @t163 (= @t10 tptp.nil))) % 0.52/0.70 (define @t205 () (not @t13)) % 0.52/0.70 (define @t206 () (or @t81 @t205 @t81 @t204 @t203)) % 0.52/0.70 (define @t207 () (or @t205 @t81 @t204 @t203)) % 0.52/0.70 (define @t208 () (forall @t14 @t207)) % 0.52/0.70 (define @t209 () (forall @t187 @t208)) % 0.52/0.70 (define @t210 () (forall (@list @t186 @t10) @t207)) % 0.52/0.70 (define @t211 () (forall (@list @t10 @t186) @t207)) % 0.52/0.70 (define @t212 () (forall @t187 @t207)) % 0.52/0.70 (define @t213 () (forall @t187 @t66)) % 0.52/0.70 (define @t214 () (forall @t187 @t202)) % 0.52/0.70 (define @t215 () (and @t214 @t213)) % 0.52/0.70 (define @t216 () (forall @t187 @t203)) % 0.52/0.70 (define @t217 () (or @t205 @t81 @t204 @t216)) % 0.52/0.70 (define @t218 () (not @t30)) % 0.52/0.70 (define @t219 () (or @t218 @t69 @t68 @t67)) % 0.52/0.70 (define @t220 () (and (forall @t31 @t219) @t66)) % 0.52/0.70 (define @t221 () (or @t205 @t81 @t204 @t220)) % 0.52/0.70 (define @t222 () (forall @t14 @t221)) % 0.52/0.70 (define @t223 () (or @t80 @t124 @t121 @t222)) % 0.52/0.70 (define @t224 () (or @t80 @t124 @t121 @t221)) % 0.52/0.70 (define @t225 () (or @t205 @t81 @t80 @t124 @t204 @t121 @t220)) % 0.52/0.70 (define @t226 () (or @t81 @t80 @t124 @t204 @t121 @t220)) % 0.52/0.70 (define @t227 () (forall @t33 (not @t78))) % 0.52/0.70 (define @t228 () (not @t227)) % 0.52/0.70 (define @t229 () (= tptp.nil @t92)) % 0.52/0.70 (define @t230 () (forall @t109 (or @t105 @t104 @t103 (and @t229 @t95) (and @t96 @t229) @t94))) % 0.52/0.70 (define @t231 () (@quantifiers_skolemize @t230 1)) % 0.52/0.70 (define @t232 () (tptp.neq @t231 tptp.nil)) % 0.52/0.70 (define @t233 () (@quantifiers_skolemize @t230 2)) % 0.52/0.70 (define @t234 () (@quantifiers_skolemize @t230 0)) % 0.52/0.70 (define @t235 () (or (not (tptp.ssList @t233)) (not (tptp.neq @t233 tptp.nil)) (not (tptp.segmentP @t231 @t233)) (not (tptp.segmentP @t234 @t233)))) % 0.52/0.70 (define @t236 () (and @t235 @t232)) % 0.52/0.70 (define @t237 () (= tptp.nil @t231)) % 0.52/0.70 (define @t238 () (= tptp.nil @t234)) % 0.52/0.70 (define @t239 () (not @t238)) % 0.52/0.70 (define @t240 () (and @t239 @t237)) % 0.52/0.70 (define @t241 () (and @t237 @t238)) % 0.52/0.70 (define @t242 () (forall @t33 (or @t102 @t101 (not (tptp.segmentP @t231 @t28)) (not (tptp.segmentP @t234 @t28))))) % 0.52/0.70 (define @t243 () (not @t242)) % 0.52/0.70 (define @t244 () (tptp.ssList @t231)) % 0.52/0.70 (define @t245 () (not @t244)) % 0.52/0.70 (define @t246 () (not (tptp.ssList @t234))) % 0.52/0.70 (define @t247 () (or @t246 @t245 @t243 @t241 @t240 @t236)) % 0.52/0.70 (define @t248 () (not @t247)) % 0.52/0.70 (define @t249 () (not @t230)) % 0.52/0.70 (define @t250 () (= @t234 tptp.nil)) % 0.52/0.70 (define @t251 () (not @t250)) % 0.52/0.70 (define @t252 () (and @t251 @t237)) % 0.52/0.70 (define @t253 () (and @t237 @t250)) % 0.52/0.70 (define @t254 () (or @t246 @t245 @t243 @t253 @t252 @t236)) % 0.52/0.70 (define @t255 () (not @t254)) % 0.52/0.70 (define @t256 () (@list true)) % 0.52/0.70 (define @t257 () (@list @t247)) % 0.52/0.70 (define @t258 () (@var "BOUND_VARIABLE_9107" $$unsorted)) % 0.52/0.70 (define @t259 () (= (tptp.neq @t2 @t258) (not (= @t2 @t258)))) % 0.52/0.70 (define @t260 () (not (tptp.ssList @t258))) % 0.52/0.70 (define @t261 () (or @t105 @t260 @t259)) % 0.52/0.70 (define @t262 () (or @t260 @t259)) % 0.52/0.70 (define @t263 () (or @t105 @t262)) % 0.52/0.70 (define @t264 () (@list @t2 @t258)) % 0.52/0.70 (define @t265 () (forall @t264 @t263)) % 0.52/0.70 (define @t266 () (@list @t258)) % 0.52/0.70 (define @t267 () (forall @t266 @t263)) % 0.52/0.70 (define @t268 () (forall @t266 @t262)) % 0.52/0.70 (define @t269 () (or @t105 @t268)) % 0.52/0.70 (define @t270 () (forall @t7 (or @t125 @t5))) % 0.52/0.70 (define @t271 () (not (= @t231 tptp.nil))) % 0.52/0.70 (define @t272 () (= @t232 @t271)) % 0.52/0.70 (define @t273 () (not @t41)) % 0.52/0.70 (define @t274 () (or @t245 @t273 @t272)) % 0.52/0.70 (define @t275 () (forall @t264 @t261)) % 0.52/0.70 (define @t276 () (not @t237)) % 0.52/0.70 (define @t277 () (= @t232 @t276)) % 0.52/0.70 (define @t278 () (or @t245 @t273 @t277)) % 0.52/0.70 (define @t279 () (@list true false)) % 0.52/0.70 (define @t280 () (not @t277)) % 0.52/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.70 (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))))))))))) % 0.52/0.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.70 (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))))))))))))))))) % 0.52/0.70 (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)))))))))))))))) % 0.52/0.70 (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))))))))))))))))) % 0.52/0.70 (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))))))))))))))) % 0.52/0.70 (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))))))))))))))) % 0.52/0.70 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.52/0.70 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.52/0.70 (assume @p15 @t39) % 0.52/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.52/0.70 (assume @p17 @t41) % 0.52/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.52/0.70 (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) @t42))))))))))) % 0.52/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.52/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.52/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.52/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.52/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.52/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.52/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.52/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.52/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.52/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.52/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.52/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.52/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.52/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.52/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.52/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.70 (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)))))))))))) % 0.52/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.52/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1))))))))) % 0.52/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.52/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1))))))))))) % 0.52/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 0.52/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t59)))) % 0.52/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t59)))) % 0.52/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t59)))) % 0.52/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t59)))) % 0.52/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.52/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59)))) % 0.52/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.52/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.52/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59)))) % 0.52/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.52/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59)))) % 0.52/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.52/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.52/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.52/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t46 (= @t60 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 0.52/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.52/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t64)))))))) % 0.52/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t64)))))))) % 0.52/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.52/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))))))))) % 0.52/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) @t65)))))) % 0.52/0.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.52/0.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 0.52/0.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 0.52/0.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 0.52/0.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.52/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.52/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.52/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.52/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.52/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.52/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.52/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.52/0.70 (assume @p96 @t91) % 0.52/0.70 (assume @p97 true) % 0.52/0.70 (step @p98 :rule refl :args (@t94)) % 0.52/0.70 (step @p99 :rule eq-symm :args (@t92 tptp.nil)) % 0.52/0.70 (step @p100 :rule refl :args (@t96)) % 0.52/0.70 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t98)) % 0.52/0.70 (step @p102 :rule refl :args (@t95)) % 0.52/0.70 (step @p103 :rule nary_cong :premises (@p99 @p102) :args (@t99)) % 0.52/0.70 (step @p104 :rule refl :args (@t103)) % 0.52/0.70 (step @p105 :rule refl :args (@t104)) % 0.52/0.70 (step @p106 :rule refl :args (@t105)) % 0.52/0.70 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p101 @p98) :args (@t106)) % 0.52/0.70 (step @p108 :rule aci_norm :args ((= @t108 @t106))) % 0.52/0.70 (step @p109 :rule trans :premises (@p108 @p107)) % 0.52/0.70 (step @p110 :rule cong :premises (@p109) :args (@t110)) % 0.52/0.70 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t112) @t110))) % 0.52/0.70 (step @p112 :rule alpha_equiv :args (@t113 (@list @t92 @t93) (@list @t1 @t114))) % 0.52/0.70 (step @p113 :rule refl :args (@t105)) % 0.52/0.70 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t115)) % 0.52/0.70 (step @p115 :rule quant-miniscope-or :args ((= @t112 @t115))) % 0.52/0.70 (step @p116 :rule trans :premises (@p115 @p114)) % 0.52/0.70 (step @p117 :rule symm :premises (@p116)) % 0.52/0.70 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t128))) % 0.52/0.70 (step @p119 :rule trans :premises (@p118 @p111)) % 0.52/0.70 (step @p120 :rule trans :premises (@p119 @p110)) % 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(step @p324 :rule cong :premises (@p323 @p322) :args (@t89)) % 0.52/0.71 (step @p325 :rule cong :premises (@p324) :args (@t90)) % 0.52/0.71 (step @p326 :rule trans :premises (@p325 @p125)) % 0.52/0.71 (step @p327 :rule cong :premises (@p326) :args (@t91)) % 0.52/0.71 (step @p328 :rule eq_resolve :premises (@p96 @p327)) % 0.52/0.71 (step @p329 :rule refl :args (@t248)) % 0.52/0.71 (step @p330 :rule bool-double-not-elim :args (@t230)) % 0.52/0.71 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or (not @t249) @t248))) % 0.52/0.71 (step @p332 :rule refl :args (@t236)) % 0.52/0.71 (step @p333 :rule refl :args (@t237)) % 0.52/0.71 (step @p334 :rule eq-symm :args (@t234 tptp.nil)) % 0.52/0.71 (step @p335 :rule cong :premises (@p334) :args (@t251)) % 0.52/0.71 (step @p336 :rule nary_cong :premises (@p335 @p333) :args (@t252)) % 0.52/0.71 (step @p337 :rule nary_cong :premises (@p333 @p334) :args (@t253)) % 0.52/0.71 (step @p338 :rule refl :args (@t243)) % 0.52/0.71 (step @p339 :rule refl :args (@t245)) % 0.52/0.71 (step @p340 :rule refl :args (@t246)) % 0.52/0.71 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337 @p336 @p332) :args (@t254)) % 0.52/0.71 (step @p342 :rule cong :premises (@p341) :args (@t255)) % 0.52/0.71 (step @p343 :rule refl :args (@t249)) % 0.52/0.71 (step @p344 :rule cong :premises (@p343 @p342) :args ((=> @t249 @t255))) % 0.52/0.71 (assume-push @p431 @t249) % 0.52/0.71 (step @p346 :rule skolemize :premises (@p328)) % 0.52/0.71 (step-pop @p432 :rule scope :premises (@p346)) % 0.52/0.71 (step @p347 :rule process_scope :premises (@p432) :args (@t255)) % 0.52/0.71 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 0.52/0.71 (step @p350 :rule implies_elim :premises (@p349)) % 0.52/0.71 (step @p351 :rule eq_resolve :premises (@p350 @p331)) % 0.52/0.71 (step @p352 :rule chain_m_resolution :premises (@p351 @p328) :args (@t248 @t256 (@list @t230))) % 0.52/0.71 (step @p353 :rule cnf_or_neg :args (@t247 4)) % 0.52/0.71 (step @p354 :rule chain_m_resolution :premises (@p353 @p352) :args ((not @t240) @t256 @t257)) % 0.52/0.71 (step @p355 :rule aci_norm :args ((= @t263 @t261))) % 0.52/0.71 (step @p356 :rule cong :premises (@p355) :args (@t265)) % 0.52/0.71 (step @p357 :rule quant-merge-prenex :args ((= (forall @t9 @t267) @t265))) % 0.52/0.71 (step @p358 :rule alpha_equiv :args (@t268 (@list @t258) (@list @t1))) % 0.52/0.71 (step @p359 :rule nary_cong :premises (@p113 @p358) :args (@t269)) % 0.52/0.71 (step @p360 :rule quant-miniscope-or :args ((= @t267 @t269))) % 0.52/0.71 (step @p361 :rule trans :premises (@p360 @p359)) % 0.52/0.71 (step @p362 :rule symm :premises (@p361)) % 0.52/0.71 (step @p363 :rule cong :premises (@p362) :args ((forall @t9 (or @t105 @t270)))) % 0.52/0.71 (step @p364 :rule trans :premises (@p363 @p357)) % 0.52/0.71 (step @p365 :rule trans :premises (@p364 @p356)) % 0.52/0.71 (step @p366 :rule bool-impl-elim :args (@t17 @t270)) % 0.52/0.71 (step @p367 :rule cong :premises (@p366) :args ((forall @t9 (=> @t17 @t270)))) % 0.52/0.71 (step @p368 :rule trans :premises (@p367 @p365)) % 0.52/0.71 (step @p369 :rule bool-impl-elim :args (@t21 @t5)) % 0.52/0.71 (step @p370 :rule cong :premises (@p369) :args (@t37)) % 0.52/0.71 (step @p371 :rule cong :premises (@p323 @p370) :args (@t38)) % 0.52/0.71 (step @p372 :rule cong :premises (@p371) :args (@t39)) % 0.52/0.71 (step @p373 :rule trans :premises (@p372 @p368)) % 0.52/0.71 (step @p374 :rule eq_resolve :premises (@p15 @p373)) % 0.52/0.71 (step @p375 :rule eq-symm :args (@t231 tptp.nil)) % 0.52/0.71 (step @p376 :rule cong :premises (@p375) :args (@t271)) % 0.52/0.71 (step @p377 :rule refl :args (@t232)) % 0.52/0.71 (step @p378 :rule cong :premises (@p377 @p376) :args (@t272)) % 0.52/0.71 (step @p379 :rule refl :args (@t273)) % 0.52/0.71 (step @p380 :rule nary_cong :premises (@p339 @p379 @p378) :args (@t274)) % 0.52/0.71 (step @p381 :rule refl :args (@t275)) % 0.52/0.71 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t275 @t274))) % 0.52/0.71 (assume-push @p433 @t275) % 0.52/0.71 (step @p384 :rule instantiate :premises (@p374) :args ((@list @t231 tptp.nil))) % 0.52/0.71 (step-pop @p434 :rule scope :premises (@p384)) % 0.52/0.71 (step @p385 :rule process_scope :premises (@p434) :args (@t274)) % 0.52/0.71 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 0.52/0.71 (step @p388 :rule implies_elim :premises (@p387)) % 0.52/0.71 (step @p389 :rule chain_m_resolution :premises (@p388 @p374) :args (@t278 (@list false) (@list @t275))) % 0.52/0.71 (step @p390 :rule bool-double-not-elim :args (@t244)) % 0.52/0.71 (step @p391 :rule refl :args (@t247)) % 0.52/0.71 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or @t247 (not @t245)))) % 0.52/0.71 (step @p393 :rule cnf_or_neg :args (@t247 1)) % 0.52/0.71 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.52/0.71 (step @p395 :rule reordering :premises (@p394) :args ((or @t244 @t247))) % 0.52/0.71 (step @p396 :rule chain_m_resolution :premises (@p395 @p352) :args (@t244 @t256 @t257)) % 0.52/0.71 (step @p397 :rule cnf_or_pos :args (@t278)) % 0.52/0.71 (step @p398 :rule reordering :premises (@p397) :args ((or @t273 @t245 @t277 (not @t278)))) % 0.52/0.71 (step @p399 :rule chain_m_resolution :premises (@p398 @p17 @p396 @p389) :args (@t277 (@list false false false) (@list @t41 @t244 @t278))) % 0.52/0.71 (step @p400 :rule bool-double-not-elim :args (@t242)) % 0.52/0.71 (step @p401 :rule nary_cong :premises (@p391 @p400) :args ((or @t247 (not @t243)))) % 0.52/0.71 (step @p402 :rule cnf_or_neg :args (@t247 2)) % 0.52/0.71 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.52/0.71 (step @p404 :rule reordering :premises (@p403) :args ((or @t242 @t247))) % 0.52/0.71 (step @p405 :rule chain_m_resolution :premises (@p404 @p352) :args (@t242 @t256 @t257)) % 0.52/0.71 (step @p406 :rule instantiate :premises (@p405) :args ((@list @t233))) % 0.52/0.71 (step @p407 :rule cnf_or_neg :args (@t247 5)) % 0.52/0.71 (step @p408 :rule chain_m_resolution :premises (@p407 @p352) :args ((not @t236) @t256 @t257)) % 0.52/0.71 (step @p409 :rule cnf_and_neg :args (@t236)) % 0.52/0.71 (step @p410 :rule chain_m_resolution :premises (@p409 @p408 @p406) :args ((not @t232) @t279 (@list @t236 @t235))) % 0.52/0.71 (step @p411 :rule bool-double-not-elim :args (@t237)) % 0.52/0.71 (step @p412 :rule refl :args (@t280)) % 0.52/0.71 (step @p413 :rule nary_cong :premises (@p412 @p377 @p411) :args ((or @t280 @t232 (not @t276)))) % 0.52/0.71 (step @p414 :rule cnf_equiv_pos2 :args (@t277)) % 0.52/0.71 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.52/0.71 (step @p416 :rule reordering :premises (@p415) :args ((or @t237 @t232 @t280))) % 0.52/0.71 (step @p417 :rule chain_m_resolution :premises (@p416 @p410 @p399) :args (@t237 @t279 (@list @t232 @t277))) % 0.52/0.71 (step @p418 :rule cnf_or_neg :args (@t247 3)) % 0.52/0.71 (step @p419 :rule chain_m_resolution :premises (@p418 @p352) :args ((not @t241) @t256 @t257)) % 0.52/0.71 (step @p420 :rule cnf_and_neg :args (@t241)) % 0.52/0.71 (step @p421 :rule reordering :premises (@p420) :args ((or @t241 @t239 @t276))) % 0.52/0.71 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p417) :args (@t239 @t279 (@list @t241 @t237))) % 0.52/0.71 (step @p423 :rule refl :args (@t276)) % 0.52/0.71 (step @p424 :rule bool-double-not-elim :args (@t238)) % 0.52/0.71 (step @p425 :rule refl :args (@t240)) % 0.52/0.71 (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args ((or @t240 (not @t239) @t276))) % 0.52/0.71 (step @p427 :rule cnf_and_neg :args (@t240)) % 0.52/0.71 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 0.52/0.71 (step @p429 :rule reordering :premises (@p428) :args ((or @t238 @t240 @t276))) % 0.52/0.71 (step @p430 false :rule chain_m_resolution :premises (@p429 @p422 @p417 @p354) :args (false (@list true false true) (@list @t238 @t237 @t240))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------