%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG052+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:45:30 AM UTC 2026 % Result : Theorem 15.38s 15.86s % Output : Proof 15.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG052+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 14:05:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.38/15.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.38/15.86 --- Run --no-e-matching --full-saturate-quant at 6... % 15.38/15.86 % SZS status Theorem % 15.38/15.86 % SZS output start Proof % 15.38/15.86 ( % 15.38/15.86 (declare-sort $$unsorted 0) % 15.38/15.86 (declare-const tptp.xN $$unsorted) % 15.38/15.86 (declare-const tptp.xS $$unsorted) % 15.38/15.86 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 15.38/15.86 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 15.38/15.86 (declare-const tptp.xq $$unsorted) % 15.38/15.86 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.xp $$unsorted) % 15.38/15.86 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.sz0z00 $$unsorted) % 15.38/15.86 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 15.38/15.86 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.xB $$unsorted) % 15.38/15.86 (declare-const tptp.sz00 $$unsorted) % 15.38/15.86 (declare-const tptp.xA $$unsorted) % 15.38/15.86 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.38/15.86 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.xt $$unsorted) % 15.38/15.86 (declare-const tptp.xs $$unsorted) % 15.38/15.86 (declare-const tptp.xG $$unsorted) % 15.38/15.86 (declare-const tptp.xC $$unsorted) % 15.38/15.86 (declare-const tptp.xD $$unsorted) % 15.38/15.86 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 15.38/15.86 (declare-const tptp.xE $$unsorted) % 15.38/15.86 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 15.38/15.86 (declare-const tptp.xF $$unsorted) % 15.38/15.86 (declare-const tptp.xH $$unsorted) % 15.38/15.86 (declare-const tptp.xR $$unsorted) % 15.38/15.86 (declare-const tptp.xP $$unsorted) % 15.38/15.86 (define @t1 () (@var "W0" $$unsorted)) % 15.38/15.86 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 15.38/15.86 (define @t3 () (@list @t1)) % 15.38/15.86 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 15.38/15.86 (define @t5 () (@var "W1" $$unsorted)) % 15.38/15.86 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 15.38/15.86 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 15.38/15.86 (define @t8 () (@list @t5)) % 15.38/15.86 (define @t9 () (= @t1 @t5)) % 15.38/15.86 (define @t10 () (and @t2 @t7)) % 15.38/15.86 (define @t11 () (@list @t1 @t5)) % 15.38/15.86 (define @t12 () (tptp.iLess0 @t1 @t4)) % 15.38/15.86 (define @t13 () (forall @t3 (=> @t2 @t12))) % 15.38/15.86 (define @t14 () (tptp.aScalar0 @t1)) % 15.38/15.86 (define @t15 () (tptp.sdtpldt0 @t1 @t5)) % 15.38/15.86 (define @t16 () (tptp.aScalar0 @t5)) % 15.38/15.86 (define @t17 () (and @t14 @t16)) % 15.38/15.86 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 15.38/15.86 (define @t19 () (tptp.smndt0 @t1)) % 15.38/15.86 (define @t20 () (@var "W2" $$unsorted)) % 15.38/15.86 (define @t21 () (tptp.sdtasdt0 @t5 @t20)) % 15.38/15.86 (define @t22 () (tptp.sdtpldt0 @t5 @t20)) % 15.38/15.86 (define @t23 () (tptp.aScalar0 @t20)) % 15.38/15.86 (define @t24 () (and @t14 @t16 @t23)) % 15.38/15.86 (define @t25 () (@list @t1 @t5 @t20)) % 15.38/15.86 (define @t26 () (tptp.sdtasdt0 @t1 @t20)) % 15.38/15.86 (define @t27 () (@var "W3" $$unsorted)) % 15.38/15.86 (define @t28 () (tptp.sdtasdt0 @t5 @t27)) % 15.38/15.86 (define @t29 () (and @t14 @t16 @t23 (tptp.aScalar0 @t27))) % 15.38/15.86 (define @t30 () (@list @t1 @t5 @t20 @t27)) % 15.38/15.86 (define @t31 () (tptp.smndt0 @t18)) % 15.38/15.86 (define @t32 () (tptp.smndt0 @t5)) % 15.38/15.86 (define @t33 () (tptp.sdtlseqdt0 @t1 @t5)) % 15.38/15.86 (define @t34 () (tptp.sdtlseqdt0 @t5 @t1)) % 15.38/15.86 (define @t35 () (tptp.sdtlseqdt0 @t20 @t27)) % 15.38/15.86 (define @t36 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 15.38/15.86 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 15.38/15.86 (define @t38 () (tptp.sdtasdt0 @t1 @t1)) % 15.38/15.86 (define @t39 () (tptp.aVector0 @t1)) % 15.38/15.86 (define @t40 () (tptp.aDimensionOf0 @t1)) % 15.38/15.86 (define @t41 () (tptp.aNaturalNumber0 @t40)) % 15.38/15.86 (define @t42 () (forall @t3 (=> @t39 @t41))) % 15.38/15.86 (define @t43 () (tptp.sdtlbdtrb0 @t1 @t20)) % 15.38/15.86 (define @t44 () (= (tptp.sdtlbdtrb0 @t5 @t20) @t43)) % 15.38/15.86 (define @t45 () (tptp.aNaturalNumber0 @t20)) % 15.38/15.86 (define @t46 () (@list @t20)) % 15.38/15.86 (define @t47 () (forall @t46 (=> @t45 @t44))) % 15.38/15.86 (define @t48 () (tptp.aDimensionOf0 @t5)) % 15.38/15.86 (define @t49 () (tptp.szszuzczcdt0 @t48)) % 15.38/15.86 (define @t50 () (tptp.aVector0 @t5)) % 15.38/15.86 (define @t51 () (and @t50 (= @t49 @t40) @t47)) % 15.38/15.86 (define @t52 () (tptp.sziznziztdt0 @t1)) % 15.38/15.86 (define @t53 () (= @t5 @t52)) % 15.38/15.86 (define @t54 () (= @t53 @t51)) % 15.38/15.86 (define @t55 () (forall @t8 @t54)) % 15.38/15.86 (define @t56 () (not (= @t40 tptp.sz00))) % 15.38/15.86 (define @t57 () (=> @t56 @t55)) % 15.38/15.86 (define @t58 () (=> @t39 @t57)) % 15.38/15.86 (define @t59 () (forall @t3 @t58)) % 15.38/15.86 (define @t60 () (tptp.sziznziztdt0 @t5)) % 15.38/15.86 (define @t61 () (= (tptp.aDimensionOf0 @t52) (tptp.aDimensionOf0 @t60))) % 15.38/15.86 (define @t62 () (= @t48 tptp.sz00)) % 15.38/15.86 (define @t63 () (not @t62)) % 15.38/15.86 (define @t64 () (= @t40 @t48)) % 15.38/15.86 (define @t65 () (and @t64 @t63)) % 15.38/15.86 (define @t66 () (=> @t65 @t61)) % 15.38/15.86 (define @t67 () (and @t39 @t50)) % 15.38/15.86 (define @t68 () (=> @t67 @t66)) % 15.38/15.86 (define @t69 () (forall @t11 @t68)) % 15.38/15.86 (define @t70 () (tptp.sdtasasdt0 @t1 @t5)) % 15.38/15.86 (define @t71 () (tptp.sdtasasdt0 @t1 @t1)) % 15.38/15.86 (define @t72 () (tptp.aVector0 tptp.xt)) % 15.38/15.86 (define @t73 () (tptp.aVector0 tptp.xs)) % 15.38/15.86 (define @t74 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t70 @t70) (tptp.sdtasdt0 @t71 (tptp.sdtasasdt0 @t5 @t5)))) % 15.38/15.86 (define @t75 () (tptp.aDimensionOf0 tptp.xs)) % 15.38/15.86 (define @t76 () (tptp.iLess0 @t40 @t75)) % 15.38/15.86 (define @t77 () (=> @t76 @t74)) % 15.38/15.86 (define @t78 () (=> @t64 @t77)) % 15.38/15.86 (define @t79 () (forall @t11 (=> @t67 @t78))) % 15.38/15.86 (define @t80 () (tptp.aDimensionOf0 tptp.xt)) % 15.38/15.86 (define @t81 () (= @t75 @t80)) % 15.38/15.86 (define @t82 () (tptp.sziznziztdt0 tptp.xs)) % 15.38/15.86 (define @t83 () (tptp.aVector0 tptp.xp)) % 15.38/15.86 (define @t84 () (tptp.sziznziztdt0 tptp.xt)) % 15.38/15.86 (define @t85 () (tptp.aVector0 tptp.xq)) % 15.38/15.86 (define @t86 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 15.38/15.86 (define @t87 () (= tptp.xC @t86)) % 15.38/15.86 (define @t88 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 15.38/15.86 (define @t89 () (= tptp.xD @t88)) % 15.38/15.86 (define @t90 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 15.38/15.86 (define @t91 () (= tptp.xE @t90)) % 15.38/15.86 (define @t92 () (tptp.sdtasdt0 tptp.xC tptp.xD)) % 15.38/15.86 (define @t93 () (tptp.sdtasdt0 tptp.xE tptp.xE)) % 15.38/15.86 (define @t94 () (tptp.sdtlseqdt0 @t93 @t92)) % 15.38/15.86 (define @t95 () (not @t94)) % 15.38/15.86 (define @t96 () (not @t76)) % 15.38/15.86 (define @t97 () (not @t64)) % 15.38/15.86 (define @t98 () (not @t50)) % 15.38/15.86 (define @t99 () (not @t39)) % 15.38/15.86 (define @t100 () (or @t99 @t98 @t97 @t96 @t74)) % 15.38/15.86 (define @t101 () (or @t97 @t96 @t74)) % 15.38/15.86 (define @t102 () (or @t99 @t98)) % 15.38/15.86 (define @t103 () (not @t67)) % 15.38/15.86 (define @t104 () (tptp.aDimensionOf0 @t82)) % 15.38/15.86 (define @t105 () (tptp.aNaturalNumber0 @t104)) % 15.38/15.86 (define @t106 () (tptp.aVector0 @t82)) % 15.38/15.86 (define @t107 () (not @t106)) % 15.38/15.86 (define @t108 () (or @t107 @t105)) % 15.38/15.86 (define @t109 () (@list false false)) % 15.38/15.86 (define @t110 () (tptp.szszuzczcdt0 @t104)) % 15.38/15.86 (define @t111 () (tptp.iLess0 @t104 @t110)) % 15.38/15.86 (define @t112 () (not @t105)) % 15.38/15.86 (define @t113 () (or @t112 @t111)) % 15.38/15.86 (define @t114 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 15.38/15.86 (define @t115 () (tptp.sdtlbdtrb0 @t114 @t20)) % 15.38/15.86 (define @t116 () (not @t45)) % 15.38/15.86 (define @t117 () (or @t116 (= @t115 @t43))) % 15.38/15.86 (define @t118 () (forall @t46 @t117)) % 15.38/15.86 (define @t119 () (= @t40 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t114)))) % 15.38/15.86 (define @t120 () (tptp.aVector0 @t114)) % 15.38/15.86 (define @t121 () (and @t120 @t119 @t118)) % 15.38/15.86 (define @t122 () (= (= @t114 @t52) @t121)) % 15.38/15.86 (define @t123 () (= tptp.sz00 @t40)) % 15.38/15.86 (define @t124 () (or @t99 @t123 @t122)) % 15.38/15.86 (define @t125 () (@list @t1 @t114)) % 15.38/15.86 (define @t126 () (forall @t125 @t124)) % 15.38/15.86 (define @t127 () (@list @t114)) % 15.38/15.86 (define @t128 () (forall @t127 @t124)) % 15.38/15.86 (define @t129 () (forall @t127 @t122)) % 15.38/15.86 (define @t130 () (or @t99 @t123 @t129)) % 15.38/15.86 (define @t131 () (forall @t8 (= @t53 (and @t50 (= @t40 @t49) (forall @t46 (or @t116 @t44)))))) % 15.38/15.86 (define @t132 () (or @t99 @t123 @t131)) % 15.38/15.86 (define @t133 () (not @t123)) % 15.38/15.86 (define @t134 () (=> @t133 @t131)) % 15.38/15.86 (define @t135 () (= @t75 @t110)) % 15.38/15.86 (define @t136 () (and @t106 @t135 (forall @t46 (or @t116 (= (tptp.sdtlbdtrb0 tptp.xs @t20) (tptp.sdtlbdtrb0 @t82 @t20)))))) % 15.38/15.86 (define @t137 () (= (= @t82 @t82) @t136)) % 15.38/15.86 (define @t138 () (= tptp.sz00 @t75)) % 15.38/15.86 (define @t139 () (not @t73)) % 15.38/15.86 (define @t140 () (or @t139 @t138 @t137)) % 15.38/15.86 (define @t141 () (forall @t125 (or @t99 @t123 (= (= @t52 @t114) (and @t120 @t119 (forall @t46 (or @t116 (= @t43 @t115)))))))) % 15.38/15.86 (define @t142 () (or @t139 @t138 @t136)) % 15.38/15.86 (define @t143 () (@list false)) % 15.38/15.86 (define @t144 () (tptp.iLess0 @t104 @t75)) % 15.38/15.86 (define @t145 () (= tptp.sz00 @t48)) % 15.38/15.86 (define @t146 () (or @t97 @t145 @t61)) % 15.38/15.86 (define @t147 () (not @t145)) % 15.38/15.86 (define @t148 () (and @t64 @t147)) % 15.38/15.86 (define @t149 () (=> @t148 @t61)) % 15.38/15.86 (define @t150 () (= tptp.sz00 @t80)) % 15.38/15.86 (define @t151 () (= @t104 (tptp.aDimensionOf0 @t84))) % 15.38/15.86 (define @t152 () (not @t81)) % 15.38/15.86 (define @t153 () (not @t72)) % 15.38/15.86 (define @t154 () (or @t139 @t153 @t152 @t150 @t151)) % 15.38/15.86 (define @t155 () (tptp.sdtasasdt0 @t82 @t84)) % 15.38/15.86 (define @t156 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t155 @t155) (tptp.sdtasdt0 (tptp.sdtasasdt0 @t82 @t82) (tptp.sdtasasdt0 @t84 @t84)))) % 15.38/15.86 (define @t157 () (not @t144)) % 15.38/15.86 (define @t158 () (not @t151)) % 15.38/15.86 (define @t159 () (tptp.aVector0 @t84)) % 15.38/15.86 (define @t160 () (not @t159)) % 15.38/15.86 (define @t161 () (or @t107 @t160 @t158 @t157 @t156)) % 15.38/15.86 (define @t162 () (not @t161)) % 15.38/15.86 (define @t163 () (forall @t11 @t100)) % 15.38/15.86 (assume @p1 (forall @t3 (=> @t2 true))) % 15.38/15.86 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 15.38/15.86 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 15.38/15.86 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 15.38/15.86 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 15.38/15.86 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 15.38/15.86 (assume @p7 @t13) % 15.38/15.86 (assume @p8 (forall @t3 (=> @t14 true))) % 15.38/15.86 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 15.38/15.86 (assume @p10 (forall @t11 (=> @t17 (tptp.aScalar0 @t15)))) % 15.38/15.86 (assume @p11 (forall @t11 (=> @t17 (tptp.aScalar0 @t18)))) % 15.38/15.86 (assume @p12 (forall @t3 (=> @t14 (tptp.aScalar0 @t19)))) % 15.38/15.86 (assume @p13 (forall @t3 (=> @t14 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t19) tptp.sz0z00) (= (tptp.sdtpldt0 @t19 @t1) tptp.sz0z00) (= (tptp.smndt0 @t19) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 15.38/15.86 (assume @p14 (forall @t25 (=> @t24 (and (= (tptp.sdtpldt0 @t15 @t20) (tptp.sdtpldt0 @t1 @t22)) (= @t15 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t20) (tptp.sdtasdt0 @t1 @t21)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))))) % 15.38/15.86 (assume @p15 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t18 @t26)) (= (tptp.sdtasdt0 @t15 @t20) (tptp.sdtpldt0 @t26 @t21)))))) % 15.38/15.86 (assume @p16 (forall @t30 (=> @t29 (= (tptp.sdtasdt0 @t15 (tptp.sdtpldt0 @t20 @t27)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t26 (tptp.sdtasdt0 @t1 @t27)) (tptp.sdtpldt0 @t21 @t28)))))) % 15.38/15.86 (assume @p17 (forall @t11 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t32) @t31) (= (tptp.sdtasdt0 @t19 @t5) @t31))))) % 15.38/15.86 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t19 @t32) @t18)))) % 15.38/15.86 (assume @p19 (forall @t11 (=> @t17 (=> @t33 true)))) % 15.38/15.86 (assume @p20 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 @t1 @t1)))) % 15.38/15.86 (assume @p21 (forall @t11 (=> @t17 (=> (and @t33 @t34) @t9)))) % 15.38/15.86 (assume @p22 (forall @t25 (=> @t24 (=> (and @t33 (tptp.sdtlseqdt0 @t5 @t20)) (tptp.sdtlseqdt0 @t1 @t20))))) % 15.38/15.86 (assume @p23 (forall @t30 (=> @t29 (=> (and @t33 @t35) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t5 @t27)))))) % 15.38/15.86 (assume @p24 (forall @t30 (=> @t29 (=> (and @t33 (tptp.sdtlseqdt0 tptp.sz0z00 @t20) @t35) (tptp.sdtlseqdt0 @t26 @t28))))) % 15.38/15.86 (assume @p25 (forall @t11 (=> @t17 (or @t33 @t34)))) % 15.38/15.86 (assume @p26 (forall @t11 (=> @t17 (=> (and @t37 @t36) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t15) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 15.38/15.86 (assume @p27 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 tptp.sz0z00 @t38)))) % 15.38/15.86 (assume @p28 (forall @t11 (=> @t17 (=> (and @t37 @t36 (= @t38 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 15.38/15.86 (assume @p29 (forall @t3 (=> @t39 true))) % 15.38/15.86 (assume @p30 @t42) % 15.38/15.86 (assume @p31 (forall @t11 (=> (and @t39 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 15.38/15.86 (assume @p32 @t59) % 15.38/15.86 (assume @p33 @t69) % 15.38/15.86 (assume @p34 (forall @t11 (=> @t67 (=> @t64 (tptp.aScalar0 @t70))))) % 15.38/15.86 (assume @p35 (forall @t11 (=> @t67 (=> (and @t64 @t62) (= @t70 tptp.sz0z00))))) % 15.38/15.86 (assume @p36 (forall @t11 (=> @t67 (=> @t65 (= @t70 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t52 @t60) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t40) (tptp.sdtlbdtrb0 @t5 @t48)))))))) % 15.38/15.86 (assume @p37 (forall @t3 (=> @t39 (tptp.sdtlseqdt0 tptp.sz0z00 @t71)))) % 15.38/15.86 (assume @p38 (and @t73 @t72)) % 15.38/15.86 (assume @p39 @t79) % 15.38/15.86 (assume @p40 @t81) % 15.38/15.86 (assume @p41 (not (= @t75 tptp.sz00))) % 15.38/15.86 (assume @p42 (and @t83 (= tptp.xp @t82))) % 15.38/15.86 (assume @p43 (and @t85 (= tptp.xq @t84))) % 15.38/15.86 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t75)))) % 15.38/15.86 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t80)))) % 15.38/15.86 (assume @p46 (and (tptp.aScalar0 tptp.xC) @t87)) % 15.38/15.86 (assume @p47 (and (tptp.aScalar0 tptp.xD) @t89)) % 15.38/15.86 (assume @p48 (and (tptp.aScalar0 tptp.xE) @t91)) % 15.38/15.86 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 15.38/15.86 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 15.38/15.86 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 15.38/15.86 (assume @p52 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 15.38/15.86 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 15.38/15.86 (assume @p54 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 15.38/15.86 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 15.38/15.86 (assume @p56 @t95) % 15.38/15.86 (assume @p57 true) % 15.38/15.86 (step @p58 :rule aci_norm :args ((= (or @t102 @t101) @t100))) % 15.38/15.86 (step @p59 :rule aci_norm :args ((= (or @t97 (or @t96 @t74)) @t101))) % 15.38/15.86 (step @p60 :rule bool-impl-elim :args (@t76 @t74)) % 15.38/15.86 (step @p61 :rule refl :args (@t97)) % 15.38/15.86 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t97 @t77))) % 15.38/15.86 (step @p63 :rule trans :premises (@p62 @p59)) % 15.38/15.86 (step @p64 :rule bool-impl-elim :args (@t64 @t77)) % 15.38/15.86 (step @p65 :rule trans :premises (@p64 @p63)) % 15.38/15.86 (step @p66 :rule bool-and-de-morgan :args (@t39 @t50 true)) % 15.38/15.86 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t103 @t78))) % 15.38/15.86 (step @p68 :rule trans :premises (@p67 @p58)) % 15.38/15.86 (step @p69 :rule bool-impl-elim :args (@t67 @t78)) % 15.38/15.86 (step @p70 :rule trans :premises (@p69 @p68)) % 15.38/15.86 (step @p71 :rule cong :premises (@p70) :args (@t79)) % 15.38/15.86 (step @p72 :rule eq_resolve :premises (@p39 @p71)) % 15.38/15.86 (step @p73 :rule bool-impl-elim :args (@t2 @t12)) % 15.38/15.86 (step @p74 :rule cong :premises (@p73) :args (@t13)) % 15.38/15.86 (step @p75 :rule eq_resolve :premises (@p7 @p74)) % 15.38/15.86 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t104))) % 15.38/15.86 (step @p77 :rule bool-impl-elim :args (@t39 @t41)) % 15.38/15.86 (step @p78 :rule cong :premises (@p77) :args (@t42)) % 15.38/15.86 (step @p79 :rule eq_resolve :premises (@p30 @p78)) % 15.38/15.86 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t82))) % 15.38/15.86 (step @p81 :rule and_elim :premises (@p42) :args (1)) % 15.38/15.86 (step @p82 :rule cong :premises (@p81) :args (@t83)) % 15.38/15.86 (step @p83 :rule and_elim :premises (@p42) :args (0)) % 15.38/15.86 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 15.38/15.86 (step @p85 :rule cnf_or_pos :args (@t108)) % 15.38/15.86 (step @p86 :rule reordering :premises (@p85) :args ((or @t107 @t105 (not @t108)))) % 15.38/15.86 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p80) :args (@t105 @t109 (@list @t106 @t108))) % 15.38/15.86 (step @p88 :rule cnf_or_pos :args (@t113)) % 15.38/15.86 (step @p89 :rule reordering :premises (@p88) :args ((or @t112 @t111 (not @t113)))) % 15.38/15.86 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p76) :args (@t111 @t109 (@list @t105 @t113))) % 15.38/15.86 (step @p91 :rule true_intro :premises (@p90)) % 15.38/15.86 (step @p92 :rule eq-symm :args (@t115 @t43)) % 15.38/15.86 (step @p93 :rule refl :args (@t116)) % 15.38/15.86 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t117)) % 15.38/15.86 (step @p95 :rule cong :premises (@p94) :args (@t118)) % 15.38/15.86 (step @p96 :rule refl :args (@t119)) % 15.38/15.86 (step @p97 :rule refl :args (@t120)) % 15.38/15.86 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t121)) % 15.38/15.86 (step @p99 :rule eq-symm :args (@t114 @t52)) % 15.38/15.86 (step @p100 :rule cong :premises (@p99 @p98) :args (@t122)) % 15.38/15.86 (step @p101 :rule refl :args (@t123)) % 15.38/15.86 (step @p102 :rule refl :args (@t99)) % 15.38/15.86 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t124)) % 15.38/15.86 (step @p104 :rule cong :premises (@p103) :args (@t126)) % 15.38/15.86 (step @p105 :rule quant-merge-prenex :args ((= (forall @t3 @t128) @t126))) % 15.38/15.86 (step @p106 :rule alpha_equiv :args (@t129 (@list @t114) (@list @t5))) % 15.38/15.86 (step @p107 :rule refl :args (@t123)) % 15.38/15.86 (step @p108 :rule refl :args (@t99)) % 15.38/15.86 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t130)) % 15.38/15.86 (step @p110 :rule quant-miniscope-or :args ((= @t128 @t130))) % 15.38/15.86 (step @p111 :rule trans :premises (@p110 @p109)) % 15.38/15.86 (step @p112 :rule symm :premises (@p111)) % 15.38/15.86 (step @p113 :rule cong :premises (@p112) :args ((forall @t3 @t132))) % 15.38/15.86 (step @p114 :rule trans :premises (@p113 @p105)) % 15.38/15.86 (step @p115 :rule trans :premises (@p114 @p104)) % 15.38/15.86 (step @p116 :rule aci_norm :args ((= (or @t99 (or @t123 @t131)) @t132))) % 15.38/15.86 (step @p117 :rule refl :args (@t131)) % 15.38/15.86 (step @p118 :rule bool-double-not-elim :args (@t123)) % 15.38/15.86 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t133) @t131))) % 15.38/15.86 (step @p120 :rule bool-impl-elim :args (@t133 @t131)) % 15.38/15.86 (step @p121 :rule trans :premises (@p120 @p119)) % 15.38/15.86 (step @p122 :rule nary_cong :premises (@p108 @p121) :args ((or @t99 @t134))) % 15.38/15.86 (step @p123 :rule trans :premises (@p122 @p116)) % 15.38/15.86 (step @p124 :rule bool-impl-elim :args (@t39 @t134)) % 15.38/15.86 (step @p125 :rule trans :premises (@p124 @p123)) % 15.38/15.86 (step @p126 :rule cong :premises (@p125) :args ((forall @t3 (=> @t39 @t134)))) % 15.38/15.86 (step @p127 :rule trans :premises (@p126 @p115)) % 15.38/15.86 (step @p128 :rule bool-impl-elim :args (@t45 @t44)) % 15.38/15.86 (step @p129 :rule cong :premises (@p128) :args (@t47)) % 15.38/15.86 (step @p130 :rule eq-symm :args (@t49 @t40)) % 15.38/15.86 (step @p131 :rule refl :args (@t50)) % 15.38/15.86 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t51)) % 15.38/15.86 (step @p133 :rule refl :args (@t53)) % 15.38/15.86 (step @p134 :rule cong :premises (@p133 @p132) :args (@t54)) % 15.38/15.86 (step @p135 :rule cong :premises (@p134) :args (@t55)) % 15.38/15.86 (step @p136 :rule eq-symm :args (@t40 tptp.sz00)) % 15.38/15.86 (step @p137 :rule cong :premises (@p136) :args (@t56)) % 15.38/15.86 (step @p138 :rule cong :premises (@p137 @p135) :args (@t57)) % 15.38/15.86 (step @p139 :rule refl :args (@t39)) % 15.38/15.86 (step @p140 :rule cong :premises (@p139 @p138) :args (@t58)) % 15.38/15.86 (step @p141 :rule cong :premises (@p140) :args (@t59)) % 15.38/15.86 (step @p142 :rule trans :premises (@p141 @p127)) % 15.38/15.86 (step @p143 :rule eq_resolve :premises (@p32 @p142)) % 15.38/15.86 (step @p144 :rule bool-eq-true :args (@t136)) % 15.38/15.86 (step @p145 :rule eq-symm :args (true @t136)) % 15.38/15.86 (step @p146 :rule trans :premises (@p145 @p144)) % 15.38/15.86 (step @p147 :rule refl :args (@t136)) % 15.38/15.86 (step @p148 :rule eq-refl :args (@t82)) % 15.38/15.86 (step @p149 :rule cong :premises (@p148 @p147) :args (@t137)) % 15.38/15.86 (step @p150 :rule trans :premises (@p149 @p146)) % 15.38/15.86 (step @p151 :rule refl :args (@t138)) % 15.38/15.86 (step @p152 :rule refl :args (@t139)) % 15.38/15.86 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t140)) % 15.38/15.86 (step @p154 :rule refl :args (@t141)) % 15.38/15.86 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t141 @t140))) % 15.38/15.86 (assume-push @p246 @t141) % 15.38/15.86 (step @p157 :rule instantiate :premises (@p143) :args ((@list tptp.xs @t82))) % 15.38/15.86 (step-pop @p247 :rule scope :premises (@p157)) % 15.38/15.86 (step @p158 :rule process_scope :premises (@p247) :args (@t140)) % 15.38/15.86 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 15.38/15.86 (step @p161 :rule implies_elim :premises (@p160)) % 15.38/15.86 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t142 @t143 (@list @t141))) % 15.38/15.86 (step @p163 :rule and_elim :premises (@p38) :args (0)) % 15.38/15.86 (step @p164 :rule symm :premises (@p41)) % 15.38/15.86 (step @p165 :rule cnf_or_pos :args (@t142)) % 15.38/15.86 (step @p166 :rule reordering :premises (@p165) :args ((or @t138 @t139 @t136 (not @t142)))) % 15.38/15.86 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p163 @p162) :args (@t136 (@list true false false) (@list @t138 @t73 @t142))) % 15.38/15.86 (step @p168 :rule cnf_and_pos :args (@t136 1)) % 15.38/15.86 (step @p169 :rule reordering :premises (@p168) :args ((or @t135 (not @t136)))) % 15.38/15.86 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t135 @t143 (@list @t136))) % 15.38/15.86 (step @p171 :rule refl :args (@t104)) % 15.38/15.86 (step @p172 :rule cong :premises (@p171 @p170) :args (@t144)) % 15.38/15.86 (step @p173 :rule trans :premises (@p172 @p91)) % 15.38/15.86 (step @p174 :rule true_elim :premises (@p173)) % 15.38/15.86 (step @p175 :rule aci_norm :args ((= (or @t102 @t146) (or @t99 @t98 @t97 @t145 @t61)))) % 15.38/15.86 (step @p176 :rule aci_norm :args ((= (or (or @t97 @t145) @t61) @t146))) % 15.38/15.86 (step @p177 :rule refl :args (@t61)) % 15.38/15.86 (step @p178 :rule bool-double-not-elim :args (@t145)) % 15.38/15.86 (step @p179 :rule nary_cong :premises (@p61 @p178) :args ((or @t97 (not @t147)))) % 15.38/15.86 (step @p180 :rule bool-and-de-morgan :args (@t64 @t147 true)) % 15.38/15.86 (step @p181 :rule trans :premises (@p180 @p179)) % 15.38/15.86 (step @p182 :rule nary_cong :premises (@p181 @p177) :args ((or (not @t148) @t61))) % 15.38/15.86 (step @p183 :rule trans :premises (@p182 @p176)) % 15.38/15.86 (step @p184 :rule bool-impl-elim :args (@t148 @t61)) % 15.38/15.86 (step @p185 :rule trans :premises (@p184 @p183)) % 15.38/15.86 (step @p186 :rule nary_cong :premises (@p66 @p185) :args ((or @t103 @t149))) % 15.38/15.86 (step @p187 :rule trans :premises (@p186 @p175)) % 15.38/15.86 (step @p188 :rule bool-impl-elim :args (@t67 @t149)) % 15.38/15.86 (step @p189 :rule trans :premises (@p188 @p187)) % 15.38/15.86 (step @p190 :rule cong :premises (@p189) :args ((forall @t11 (=> @t67 @t149)))) % 15.38/15.86 (step @p191 :rule refl :args (@t61)) % 15.38/15.86 (step @p192 :rule eq-symm :args (@t48 tptp.sz00)) % 15.38/15.86 (step @p193 :rule cong :premises (@p192) :args (@t63)) % 15.38/15.86 (step @p194 :rule refl :args (@t64)) % 15.38/15.86 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t65)) % 15.38/15.86 (step @p196 :rule cong :premises (@p195 @p191) :args (@t66)) % 15.38/15.86 (step @p197 :rule refl :args (@t67)) % 15.38/15.86 (step @p198 :rule cong :premises (@p197 @p196) :args (@t68)) % 15.38/15.86 (step @p199 :rule cong :premises (@p198) :args (@t69)) % 15.38/15.86 (step @p200 :rule trans :premises (@p199 @p190)) % 15.38/15.86 (step @p201 :rule eq_resolve :premises (@p33 @p200)) % 15.38/15.86 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.xs tptp.xt))) % 15.38/15.86 (step @p203 :rule false_intro :premises (@p164)) % 15.38/15.86 (step @p204 :rule symm :premises (@p40)) % 15.38/15.86 (step @p205 :rule refl :args (tptp.sz00)) % 15.38/15.86 (step @p206 :rule cong :premises (@p205 @p204) :args (@t150)) % 15.38/15.86 (step @p207 :rule trans :premises (@p206 @p203)) % 15.38/15.86 (step @p208 :rule false_elim :premises (@p207)) % 15.38/15.86 (step @p209 :rule and_elim :premises (@p38) :args (1)) % 15.38/15.86 (step @p210 :rule cnf_or_pos :args (@t154)) % 15.38/15.86 (step @p211 :rule reordering :premises (@p210) :args ((or @t139 @t153 @t152 @t150 @t151 (not @t154)))) % 15.38/15.86 (step @p212 :rule chain_m_resolution :premises (@p211 @p163 @p209 @p40 @p208 @p202) :args (@t151 (@list false false false true false) (@list @t73 @t72 @t81 @t150 @t154))) % 15.38/15.86 (step @p213 :rule and_elim :premises (@p43) :args (1)) % 15.38/15.86 (step @p214 :rule cong :premises (@p213) :args (@t85)) % 15.38/15.86 (step @p215 :rule and_elim :premises (@p43) :args (0)) % 15.38/15.86 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 15.38/15.86 (step @p217 :rule cong :premises (@p213 @p213) :args (@t88)) % 15.38/15.86 (step @p218 :rule refl :args (tptp.xD)) % 15.38/15.86 (step @p219 :rule cong :premises (@p218 @p217) :args (@t89)) % 15.38/15.86 (step @p220 :rule and_elim :premises (@p47) :args (1)) % 15.38/15.86 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 15.38/15.86 (step @p222 :rule cong :premises (@p81 @p81) :args (@t86)) % 15.38/15.86 (step @p223 :rule refl :args (tptp.xC)) % 15.38/15.86 (step @p224 :rule cong :premises (@p223 @p222) :args (@t87)) % 15.38/15.86 (step @p225 :rule and_elim :premises (@p46) :args (1)) % 15.38/15.86 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 15.38/15.86 (step @p227 :rule cong :premises (@p226 @p221) :args (@t92)) % 15.38/15.86 (step @p228 :rule cong :premises (@p81 @p213) :args (@t90)) % 15.38/15.86 (step @p229 :rule refl :args (tptp.xE)) % 15.38/15.86 (step @p230 :rule cong :premises (@p229 @p228) :args (@t91)) % 15.38/15.86 (step @p231 :rule and_elim :premises (@p48) :args (1)) % 15.38/15.86 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 15.38/15.86 (step @p233 :rule cong :premises (@p232 @p232) :args (@t93)) % 15.38/15.86 (step @p234 :rule cong :premises (@p233 @p227) :args (@t94)) % 15.38/15.86 (step @p235 :rule cong :premises (@p234) :args (@t95)) % 15.38/15.86 (step @p236 :rule eq_resolve :premises (@p56 @p235)) % 15.38/15.86 (step @p237 :rule cnf_or_pos :args (@t161)) % 15.38/15.86 (step @p238 :rule reordering :premises (@p237) :args ((or @t156 @t107 @t160 @t158 @t157 @t162))) % 15.38/15.86 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p84 @p216 @p212 @p174) :args (@t162 (@list true false false false false) (@list @t156 @t106 @t159 @t151 @t144))) % 15.38/15.86 (assume-push @p248 @t163) % 15.38/15.86 (step @p241 :rule instantiate :premises (@p72) :args ((@list @t82 @t84))) % 15.38/15.86 (step-pop @p249 :rule scope :premises (@p241)) % 15.38/15.86 (step @p242 :rule process_scope :premises (@p249) :args (@t161)) % 15.38/15.86 (step @p244 :rule implies_elim :premises (@p242)) % 15.38/15.86 (step @p245 false :rule chain_m_resolution :premises (@p244 @p239 @p72) :args (false (@list true false) (@list @t161 @t163))) % 15.38/15.86 ) % 15.38/15.86 % SZS output end Proof % 15.38/15.86 % cvc5 exiting %------------------------------------------------------------------------------