%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG071+2 : 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 : n016.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 08:45:34 AM UTC 2026 % Result : Theorem 0.86s 1.12s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG071+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:06:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.12 % SZS status Theorem % 0.86/1.12 % SZS output start Proof % 0.86/1.12 ( % 0.86/1.12 (declare-sort $$unsorted 0) % 0.86/1.12 (declare-const tptp.xN $$unsorted) % 0.86/1.12 (declare-const tptp.xS $$unsorted) % 0.86/1.12 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.sz00 $$unsorted) % 0.86/1.12 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xp $$unsorted) % 0.86/1.12 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xG $$unsorted) % 0.86/1.12 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xF $$unsorted) % 0.86/1.12 (declare-const tptp.sz0z00 $$unsorted) % 0.86/1.12 (declare-const tptp.xC $$unsorted) % 0.86/1.12 (declare-const tptp.xR $$unsorted) % 0.86/1.12 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xs $$unsorted) % 0.86/1.12 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xq $$unsorted) % 0.86/1.12 (declare-const tptp.xP $$unsorted) % 0.86/1.12 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.xA $$unsorted) % 0.86/1.12 (declare-const tptp.xB $$unsorted) % 0.86/1.12 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.86/1.12 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.86/1.12 (declare-const tptp.xt $$unsorted) % 0.86/1.12 (declare-const tptp.xD $$unsorted) % 0.86/1.12 (declare-const tptp.xE $$unsorted) % 0.86/1.12 (declare-const tptp.xH $$unsorted) % 0.86/1.12 (define @t1 () (@var "W0" $$unsorted)) % 0.86/1.12 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.86/1.12 (define @t3 () (@list @t1)) % 0.86/1.12 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.86/1.12 (define @t5 () (@var "W1" $$unsorted)) % 0.86/1.12 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.86/1.12 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.86/1.12 (define @t8 () (@list @t5)) % 0.86/1.12 (define @t9 () (= @t1 @t5)) % 0.86/1.12 (define @t10 () (and @t2 @t7)) % 0.86/1.12 (define @t11 () (@list @t1 @t5)) % 0.86/1.12 (define @t12 () (tptp.aScalar0 @t1)) % 0.86/1.12 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.86/1.12 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.86/1.12 (define @t15 () (tptp.aScalar0 @t5)) % 0.86/1.12 (define @t16 () (and @t12 @t15)) % 0.86/1.12 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.86/1.12 (define @t18 () (tptp.smndt0 @t1)) % 0.86/1.12 (define @t19 () (tptp.smndt0 tptp.sz0z00)) % 0.86/1.12 (define @t20 () (tptp.smndt0 @t18)) % 0.86/1.12 (define @t21 () (tptp.sdtpldt0 @t18 @t1)) % 0.86/1.12 (define @t22 () (tptp.sdtpldt0 @t1 @t18)) % 0.86/1.12 (define @t23 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.86/1.12 (define @t24 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.86/1.12 (define @t25 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.86/1.12 (define @t26 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.86/1.12 (define @t27 () (and (= @t26 @t1) (= @t25 @t1) (= @t24 tptp.sz0z00) (= @t23 tptp.sz0z00) (= @t22 tptp.sz0z00) (= @t21 tptp.sz0z00) (= @t20 @t1) (= @t19 tptp.sz0z00))) % 0.86/1.12 (define @t28 () (=> @t12 @t27)) % 0.86/1.12 (define @t29 () (forall @t3 @t28)) % 0.86/1.12 (define @t30 () (@var "W2" $$unsorted)) % 0.86/1.12 (define @t31 () (tptp.sdtasdt0 @t5 @t30)) % 0.86/1.12 (define @t32 () (tptp.sdtpldt0 @t5 @t30)) % 0.86/1.12 (define @t33 () (tptp.aScalar0 @t30)) % 0.86/1.12 (define @t34 () (and @t12 @t15 @t33)) % 0.86/1.12 (define @t35 () (@list @t1 @t5 @t30)) % 0.86/1.12 (define @t36 () (tptp.sdtasdt0 @t1 @t30)) % 0.86/1.12 (define @t37 () (@var "W3" $$unsorted)) % 0.86/1.12 (define @t38 () (tptp.sdtasdt0 @t5 @t37)) % 0.86/1.12 (define @t39 () (tptp.aScalar0 @t37)) % 0.86/1.12 (define @t40 () (and @t12 @t15 @t33 @t39)) % 0.86/1.12 (define @t41 () (@list @t1 @t5 @t30 @t37)) % 0.86/1.12 (define @t42 () (tptp.smndt0 @t17)) % 0.86/1.12 (define @t43 () (tptp.smndt0 @t5)) % 0.86/1.12 (define @t44 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.86/1.12 (define @t45 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.86/1.12 (define @t46 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t30) (tptp.sdtpldt0 @t5 @t37))) % 0.86/1.12 (define @t47 () (tptp.sdtlseqdt0 @t30 @t37)) % 0.86/1.12 (define @t48 () (and @t44 @t47)) % 0.86/1.12 (define @t49 () (=> @t48 @t46)) % 0.86/1.12 (define @t50 () (forall @t41 (=> @t40 @t49))) % 0.86/1.12 (define @t51 () (or @t44 @t45)) % 0.86/1.12 (define @t52 () (forall @t11 (=> @t16 @t51))) % 0.86/1.12 (define @t53 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17))) % 0.86/1.12 (define @t54 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.86/1.12 (define @t55 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.86/1.12 (define @t56 () (and @t55 @t54)) % 0.86/1.12 (define @t57 () (=> @t56 @t53)) % 0.86/1.12 (define @t58 () (forall @t11 (=> @t16 @t57))) % 0.86/1.12 (define @t59 () (tptp.sdtasdt0 @t1 @t1)) % 0.86/1.12 (define @t60 () (tptp.sdtlseqdt0 tptp.sz0z00 @t59)) % 0.86/1.12 (define @t61 () (forall @t3 (=> @t12 @t60))) % 0.86/1.12 (define @t62 () (tptp.aVector0 @t1)) % 0.86/1.12 (define @t63 () (tptp.aDimensionOf0 @t1)) % 0.86/1.12 (define @t64 () (tptp.aDimensionOf0 @t5)) % 0.86/1.12 (define @t65 () (tptp.aVector0 @t5)) % 0.86/1.12 (define @t66 () (tptp.sziznziztdt0 @t1)) % 0.86/1.12 (define @t67 () (tptp.sziznziztdt0 @t5)) % 0.86/1.12 (define @t68 () (= @t64 tptp.sz00)) % 0.86/1.12 (define @t69 () (= @t63 @t64)) % 0.86/1.12 (define @t70 () (and @t69 (not @t68))) % 0.86/1.12 (define @t71 () (and @t62 @t65)) % 0.86/1.12 (define @t72 () (tptp.sdtasasdt0 @t1 @t5)) % 0.86/1.12 (define @t73 () (tptp.sdtasasdt0 @t1 @t1)) % 0.86/1.12 (define @t74 () (tptp.sdtlseqdt0 tptp.sz0z00 @t73)) % 0.86/1.12 (define @t75 () (forall @t3 (=> @t62 @t74))) % 0.86/1.12 (define @t76 () (tptp.aDimensionOf0 tptp.xs)) % 0.86/1.12 (define @t77 () (tptp.aDimensionOf0 tptp.xt)) % 0.86/1.12 (define @t78 () (tptp.aVector0 tptp.xp)) % 0.86/1.12 (define @t79 () (tptp.aVector0 tptp.xq)) % 0.86/1.12 (define @t80 () (tptp.aScalar0 tptp.xA)) % 0.86/1.12 (define @t81 () (tptp.aScalar0 tptp.xB)) % 0.86/1.12 (define @t82 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 0.86/1.12 (define @t83 () (tptp.aScalar0 tptp.xC)) % 0.86/1.12 (define @t84 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 0.86/1.12 (define @t85 () (tptp.aScalar0 tptp.xD)) % 0.86/1.12 (define @t86 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 0.86/1.12 (define @t87 () (tptp.aScalar0 tptp.xF)) % 0.86/1.12 (define @t88 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 0.86/1.12 (define @t89 () (tptp.aScalar0 tptp.xG)) % 0.86/1.12 (define @t90 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 0.86/1.12 (define @t91 () (tptp.aScalar0 tptp.xR)) % 0.86/1.12 (define @t92 () (tptp.sdtasdt0 tptp.xE tptp.xH)) % 0.86/1.12 (define @t93 () (tptp.aScalar0 tptp.xP)) % 0.86/1.12 (define @t94 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 0.86/1.12 (define @t95 () (tptp.aScalar0 tptp.xS)) % 0.86/1.12 (define @t96 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 0.86/1.12 (define @t97 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.86/1.12 (define @t98 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.86/1.12 (define @t99 () (tptp.sdtpldt0 tptp.xP tptp.xP)) % 0.86/1.12 (define @t100 () (tptp.sdtlseqdt0 @t99 @t98)) % 0.86/1.12 (define @t101 () (tptp.sdtlseqdt0 tptp.sz0z00 @t99)) % 0.86/1.12 (define @t102 () (tptp.sdtlseqdt0 tptp.sz0z00 @t98)) % 0.86/1.12 (define @t103 () (not @t47)) % 0.86/1.12 (define @t104 () (not @t44)) % 0.86/1.12 (define @t105 () (not @t39)) % 0.86/1.12 (define @t106 () (not @t33)) % 0.86/1.12 (define @t107 () (not @t15)) % 0.86/1.12 (define @t108 () (not @t12)) % 0.86/1.12 (define @t109 () (or @t104 @t103 @t46)) % 0.86/1.12 (define @t110 () (or @t108 @t107 @t106 @t105)) % 0.86/1.12 (define @t111 () (or @t108 @t107)) % 0.86/1.12 (define @t112 () (not @t16)) % 0.86/1.12 (define @t113 () (tptp.aScalar0 @t92)) % 0.86/1.12 (define @t114 () (not @t54)) % 0.86/1.12 (define @t115 () (not @t55)) % 0.86/1.12 (define @t116 () (or @t115 @t114 @t53)) % 0.86/1.12 (define @t117 () (tptp.sdtlseqdt0 tptp.sz0z00 @t86)) % 0.86/1.12 (define @t118 () (not @t80)) % 0.86/1.12 (define @t119 () (or @t118 @t117)) % 0.86/1.12 (define @t120 () (@list false false)) % 0.86/1.12 (define @t121 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xF)) % 0.86/1.12 (define @t122 () (tptp.sdtlseqdt0 tptp.sz0z00 @t84)) % 0.86/1.12 (define @t123 () (not @t79)) % 0.86/1.12 (define @t124 () (or @t123 @t122)) % 0.86/1.12 (define @t125 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xD)) % 0.86/1.12 (define @t126 () (tptp.sdtlseqdt0 tptp.sz0z00 @t94)) % 0.86/1.12 (define @t127 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 tptp.xF tptp.xD)) @t126)) % 0.86/1.12 (define @t128 () (not @t125)) % 0.86/1.12 (define @t129 () (not @t121)) % 0.86/1.12 (define @t130 () (not @t85)) % 0.86/1.12 (define @t131 () (not @t87)) % 0.86/1.12 (define @t132 () (or @t131 @t130 @t129 @t128 @t127)) % 0.86/1.12 (define @t133 () (@list false false false false false)) % 0.86/1.12 (define @t134 () (@list false)) % 0.86/1.12 (define @t135 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xS)) % 0.86/1.12 (define @t136 () (tptp.sdtlseqdt0 tptp.sz0z00 @t88)) % 0.86/1.12 (define @t137 () (not @t81)) % 0.86/1.12 (define @t138 () (or @t137 @t136)) % 0.86/1.12 (define @t139 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xG)) % 0.86/1.12 (define @t140 () (tptp.sdtlseqdt0 tptp.sz0z00 @t82)) % 0.86/1.12 (define @t141 () (not @t78)) % 0.86/1.12 (define @t142 () (or @t141 @t140)) % 0.86/1.12 (define @t143 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xC)) % 0.86/1.12 (define @t144 () (tptp.sdtlseqdt0 tptp.sz0z00 @t90)) % 0.86/1.12 (define @t145 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 tptp.xC tptp.xG)) @t144)) % 0.86/1.12 (define @t146 () (not @t139)) % 0.86/1.12 (define @t147 () (not @t143)) % 0.86/1.12 (define @t148 () (not @t89)) % 0.86/1.12 (define @t149 () (not @t83)) % 0.86/1.12 (define @t150 () (or @t149 @t148 @t147 @t146 @t145)) % 0.86/1.12 (define @t151 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xR)) % 0.86/1.12 (define @t152 () (and @t102 (tptp.sdtlseqdt0 tptp.sz0z00 @t96))) % 0.86/1.12 (define @t153 () (not @t135)) % 0.86/1.12 (define @t154 () (not @t151)) % 0.86/1.12 (define @t155 () (not @t95)) % 0.86/1.12 (define @t156 () (not @t91)) % 0.86/1.12 (define @t157 () (or @t156 @t155 @t154 @t153 @t152)) % 0.86/1.12 (define @t158 () (and @t101 (tptp.sdtlseqdt0 tptp.sz0z00 @t97))) % 0.86/1.12 (define @t159 () (not @t158)) % 0.86/1.12 (define @t160 () (not (tptp.sdtlseqdt0 tptp.sz0z00 tptp.xP))) % 0.86/1.12 (define @t161 () (not @t93)) % 0.86/1.12 (define @t162 () (or @t161 @t161 @t160 @t160 @t158)) % 0.86/1.12 (define @t163 () (tptp.sdtlseqdt0 tptp.sz0z00 @t92)) % 0.86/1.12 (define @t164 () (tptp.sdtlseqdt0 @t92 tptp.sz0z00)) % 0.86/1.12 (define @t165 () (not @t113)) % 0.86/1.12 (define @t166 () (not @t13)) % 0.86/1.12 (define @t167 () (or @t166 @t165 @t163 @t164)) % 0.86/1.12 (define @t168 () (tptp.sdtlseqdt0 tptp.xP tptp.sz0z00)) % 0.86/1.12 (define @t169 () (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) % 0.86/1.12 (define @t170 () (tptp.sdtpldt0 tptp.sz0z00 tptp.xP)) % 0.86/1.12 (define @t171 () (tptp.sdtlseqdt0 @t170 @t169)) % 0.86/1.12 (define @t172 () (not @t168)) % 0.86/1.12 (define @t173 () (or @t166 @t155 @t161 @t166 @t153 @t172 @t171)) % 0.86/1.12 (define @t174 () (@list false false false false false false)) % 0.86/1.12 (define @t175 () (= tptp.sz0z00 @t19)) % 0.86/1.12 (define @t176 () (and (= @t1 @t26) (= @t1 @t25) (= tptp.sz0z00 @t24) (= tptp.sz0z00 @t23) (= tptp.sz0z00 @t22) (= tptp.sz0z00 @t21) (= @t1 @t20) @t175)) % 0.86/1.12 (define @t177 () (tptp.smndt0 tptp.xS)) % 0.86/1.12 (define @t178 () (= tptp.xS @t169)) % 0.86/1.12 (define @t179 () (and @t178 (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS @t177)) (= tptp.sz0z00 (tptp.sdtpldt0 @t177 tptp.xS)) (= tptp.xS (tptp.smndt0 @t177)) @t175)) % 0.86/1.12 (define @t180 () (or @t155 @t179)) % 0.86/1.12 (define @t181 () (tptp.smndt0 tptp.xP)) % 0.86/1.12 (define @t182 () (= tptp.xP @t170)) % 0.86/1.12 (define @t183 () (and (= tptp.xP (tptp.sdtpldt0 tptp.xP tptp.sz0z00)) @t182 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xP tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xP)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xP @t181)) (= tptp.sz0z00 (tptp.sdtpldt0 @t181 tptp.xP)) (= tptp.xP (tptp.smndt0 @t181)) @t175)) % 0.86/1.12 (define @t184 () (or @t161 @t183)) % 0.86/1.12 (define @t185 () (tptp.sdtlseqdt0 tptp.xP tptp.xS)) % 0.86/1.12 (define @t186 () (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) % 0.86/1.12 (define @t187 () (tptp.sdtlseqdt0 @t170 @t186)) % 0.86/1.12 (define @t188 () (or @t166 @t156 @t161 @t166 @t154 @t172 @t187)) % 0.86/1.12 (define @t189 () (tptp.smndt0 tptp.xR)) % 0.86/1.12 (define @t190 () (= tptp.xR @t186)) % 0.86/1.12 (define @t191 () (and @t190 (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR @t189)) (= tptp.sz0z00 (tptp.sdtpldt0 @t189 tptp.xR)) (= tptp.xR (tptp.smndt0 @t189)) @t175)) % 0.86/1.12 (define @t192 () (or @t156 @t191)) % 0.86/1.12 (define @t193 () (tptp.sdtlseqdt0 tptp.xP tptp.xR)) % 0.86/1.12 (define @t194 () (not @t185)) % 0.86/1.12 (define @t195 () (not @t193)) % 0.86/1.12 (define @t196 () (or @t161 @t156 @t161 @t155 @t195 @t194 @t100)) % 0.86/1.12 (assume @p1 (forall @t3 (=> @t2 true))) % 0.86/1.12 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.86/1.12 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.86/1.12 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.86/1.12 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.86/1.12 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.86/1.12 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.86/1.12 (assume @p8 (forall @t3 (=> @t12 true))) % 0.86/1.12 (assume @p9 @t13) % 0.86/1.12 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.86/1.12 (assume @p11 (forall @t11 (=> @t16 (tptp.aScalar0 @t17)))) % 0.86/1.12 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t18)))) % 0.86/1.12 (assume @p13 @t29) % 0.86/1.12 (assume @p14 (forall @t35 (=> @t34 (and (= (tptp.sdtpldt0 @t14 @t30) (tptp.sdtpldt0 @t1 @t32)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t30) (tptp.sdtasdt0 @t1 @t31)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))))) % 0.86/1.12 (assume @p15 (forall @t35 (=> @t34 (and (= (tptp.sdtasdt0 @t1 @t32) (tptp.sdtpldt0 @t17 @t36)) (= (tptp.sdtasdt0 @t14 @t30) (tptp.sdtpldt0 @t36 @t31)))))) % 0.86/1.12 (assume @p16 (forall @t41 (=> @t40 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t30 @t37)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t36 (tptp.sdtasdt0 @t1 @t37)) (tptp.sdtpldt0 @t31 @t38)))))) % 0.86/1.12 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t43) @t42) (= (tptp.sdtasdt0 @t18 @t5) @t42))))) % 0.86/1.12 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t18 @t43) @t17)))) % 0.86/1.12 (assume @p19 (forall @t11 (=> @t16 (=> @t44 true)))) % 0.86/1.12 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.86/1.12 (assume @p21 (forall @t11 (=> @t16 (=> (and @t44 @t45) @t9)))) % 0.86/1.12 (assume @p22 (forall @t35 (=> @t34 (=> (and @t44 (tptp.sdtlseqdt0 @t5 @t30)) (tptp.sdtlseqdt0 @t1 @t30))))) % 0.86/1.12 (assume @p23 @t50) % 0.86/1.12 (assume @p24 (forall @t41 (=> @t40 (=> (and @t44 (tptp.sdtlseqdt0 tptp.sz0z00 @t30) @t47) (tptp.sdtlseqdt0 @t36 @t38))))) % 0.86/1.12 (assume @p25 @t52) % 0.86/1.12 (assume @p26 @t58) % 0.86/1.12 (assume @p27 @t61) % 0.86/1.12 (assume @p28 (forall @t11 (=> @t16 (=> (and @t55 @t54 (= @t59 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.86/1.12 (assume @p29 (forall @t3 (=> @t62 true))) % 0.86/1.12 (assume @p30 (forall @t3 (=> @t62 (tptp.aNaturalNumber0 @t63)))) % 0.86/1.12 (assume @p31 (forall @t11 (=> (and @t62 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.86/1.12 (assume @p32 (forall @t3 (=> @t62 (=> (not (= @t63 tptp.sz00)) (forall @t8 (= (= @t5 @t66) (and @t65 (= (tptp.szszuzczcdt0 @t64) @t63) (forall (@list @t30) (=> (tptp.aNaturalNumber0 @t30) (= (tptp.sdtlbdtrb0 @t5 @t30) (tptp.sdtlbdtrb0 @t1 @t30))))))))))) % 0.86/1.12 (assume @p33 (forall @t11 (=> @t71 (=> @t70 (= (tptp.aDimensionOf0 @t66) (tptp.aDimensionOf0 @t67)))))) % 0.86/1.12 (assume @p34 (forall @t11 (=> @t71 (=> @t69 (tptp.aScalar0 @t72))))) % 0.86/1.12 (assume @p35 (forall @t11 (=> @t71 (=> (and @t69 @t68) (= @t72 tptp.sz0z00))))) % 0.86/1.12 (assume @p36 (forall @t11 (=> @t71 (=> @t70 (= @t72 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t66 @t67) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t63) (tptp.sdtlbdtrb0 @t5 @t64)))))))) % 0.86/1.12 (assume @p37 @t75) % 0.86/1.12 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.86/1.12 (assume @p39 (forall @t11 (=> @t71 (=> @t69 (=> (tptp.iLess0 @t63 @t76) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t72 @t72) (tptp.sdtasdt0 @t73 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.86/1.12 (assume @p40 (= @t76 @t77)) % 0.86/1.12 (assume @p41 (not (= @t76 tptp.sz00))) % 0.86/1.12 (assume @p42 (and @t78 (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t76) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.86/1.12 (assume @p43 (and @t79 (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t77) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.86/1.12 (assume @p44 (and @t80 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t76)))) % 0.86/1.12 (assume @p45 (and @t81 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t77)))) % 0.86/1.12 (assume @p46 (and @t83 (= tptp.xC @t82))) % 0.86/1.12 (assume @p47 (and @t85 (= tptp.xD @t84))) % 0.86/1.12 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.86/1.12 (assume @p49 (and @t87 (= tptp.xF @t86))) % 0.86/1.12 (assume @p50 (and @t89 (= tptp.xG @t88))) % 0.86/1.12 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.86/1.12 (assume @p52 (and @t91 (= tptp.xR @t90))) % 0.86/1.12 (assume @p53 (and @t93 (= tptp.xP @t92))) % 0.86/1.12 (assume @p54 (and @t95 (= tptp.xS @t94))) % 0.86/1.12 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN @t96))) % 0.86/1.12 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.86/1.12 (assume @p57 (tptp.sdtlseqdt0 @t97 tptp.xN)) % 0.86/1.12 (assume @p58 (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t97 @t97) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xR tptp.xR) (tptp.sdtasdt0 tptp.xS tptp.xS)))) % 0.86/1.12 (assume @p59 (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t99 @t99) (tptp.sdtasdt0 @t98 @t98))) % 0.86/1.12 (assume @p60 (not @t100)) % 0.86/1.12 (assume @p61 (tptp.sdtlseqdt0 @t98 @t99)) % 0.86/1.12 (assume @p62 (not (and @t102 @t101))) % 0.86/1.12 (assume @p63 true) % 0.86/1.12 (step @p64 :rule and_elim :premises (@p52) :args (0)) % 0.86/1.12 (step @p65 :rule and_elim :premises (@p53) :args (0)) % 0.86/1.12 (step @p66 :rule and_elim :premises (@p54) :args (0)) % 0.86/1.12 (step @p67 :rule aci_norm :args ((= (or @t110 @t109) (or @t108 @t107 @t106 @t105 @t104 @t103 @t46)))) % 0.86/1.12 (step @p68 :rule aci_norm :args ((= (or (or @t104 @t103) @t46) @t109))) % 0.86/1.12 (step @p69 :rule refl :args (@t46)) % 0.86/1.12 (step @p70 :rule bool-and-de-morgan :args (@t44 @t47 true)) % 0.86/1.12 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t48) @t46))) % 0.86/1.12 (step @p72 :rule trans :premises (@p71 @p68)) % 0.86/1.12 (step @p73 :rule bool-impl-elim :args (@t48 @t46)) % 0.86/1.12 (step @p74 :rule trans :premises (@p73 @p72)) % 0.86/1.12 (step @p75 :rule aci_norm :args ((= (or @t108 (or @t107 (or @t106 @t105))) @t110))) % 0.86/1.12 (step @p76 :rule bool-and-de-morgan :args (@t33 @t39 true)) % 0.86/1.12 (step @p77 :rule refl :args (@t107)) % 0.86/1.12 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t107 (not (and @t33 @t39))))) % 0.86/1.12 (step @p79 :rule bool-and-de-morgan :args (@t15 @t33 (and @t39))) % 0.86/1.12 (step @p80 :rule trans :premises (@p79 @p78)) % 0.86/1.12 (step @p81 :rule refl :args (@t108)) % 0.86/1.12 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t108 (not (and @t15 @t33 @t39))))) % 0.86/1.12 (step @p83 :rule bool-and-de-morgan :args (@t12 @t15 (and @t33 @t39))) % 0.86/1.12 (step @p84 :rule trans :premises (@p83 @p82)) % 0.86/1.12 (step @p85 :rule trans :premises (@p84 @p75)) % 0.86/1.12 (step @p86 :rule nary_cong :premises (@p85 @p74) :args ((or (not @t40) @t49))) % 0.86/1.12 (step @p87 :rule trans :premises (@p86 @p67)) % 0.86/1.12 (step @p88 :rule bool-impl-elim :args (@t40 @t49)) % 0.86/1.12 (step @p89 :rule trans :premises (@p88 @p87)) % 0.86/1.12 (step @p90 :rule cong :premises (@p89) :args (@t50)) % 0.86/1.12 (step @p91 :rule eq_resolve :premises (@p23 @p90)) % 0.86/1.12 (step @p92 :rule instantiate :premises (@p91) :args ((@list tptp.xP tptp.xR tptp.xP tptp.xS))) % 0.86/1.12 (step @p93 :rule instantiate :premises (@p91) :args ((@list tptp.sz0z00 tptp.xS tptp.xP tptp.sz0z00))) % 0.86/1.12 (step @p94 :rule aci_norm :args ((= (or @t111 @t51) (or @t108 @t107 @t44 @t45)))) % 0.86/1.12 (step @p95 :rule refl :args (@t51)) % 0.86/1.12 (step @p96 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.86/1.12 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t112 @t51))) % 0.86/1.12 (step @p98 :rule trans :premises (@p97 @p94)) % 0.86/1.12 (step @p99 :rule bool-impl-elim :args (@t16 @t51)) % 0.86/1.12 (step @p100 :rule trans :premises (@p99 @p98)) % 0.86/1.12 (step @p101 :rule cong :premises (@p100) :args (@t52)) % 0.86/1.12 (step @p102 :rule eq_resolve :premises (@p25 @p101)) % 0.86/1.12 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.sz0z00 @t92))) % 0.86/1.12 (step @p104 :rule true_intro :premises (@p65)) % 0.86/1.12 (step @p105 :rule and_elim :premises (@p53) :args (1)) % 0.86/1.12 (step @p106 :rule symm :premises (@p105)) % 0.86/1.12 (step @p107 :rule cong :premises (@p106) :args (@t113)) % 0.86/1.12 (step @p108 :rule trans :premises (@p107 @p104)) % 0.86/1.12 (step @p109 :rule true_elim :premises (@p108)) % 0.86/1.12 (step @p110 :rule aci_norm :args ((= (or @t111 @t116) (or @t108 @t107 @t115 @t114 @t53)))) % 0.86/1.12 (step @p111 :rule aci_norm :args ((= (or (or @t115 @t114) @t53) @t116))) % 0.86/1.12 (step @p112 :rule refl :args (@t53)) % 0.86/1.12 (step @p113 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 0.86/1.12 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t56) @t53))) % 0.86/1.12 (step @p115 :rule trans :premises (@p114 @p111)) % 0.86/1.12 (step @p116 :rule bool-impl-elim :args (@t56 @t53)) % 0.86/1.12 (step @p117 :rule trans :premises (@p116 @p115)) % 0.86/1.12 (step @p118 :rule nary_cong :premises (@p96 @p117) :args ((or @t112 @t57))) % 0.86/1.12 (step @p119 :rule trans :premises (@p118 @p110)) % 0.86/1.12 (step @p120 :rule bool-impl-elim :args (@t16 @t57)) % 0.86/1.12 (step @p121 :rule trans :premises (@p120 @p119)) % 0.86/1.12 (step @p122 :rule cong :premises (@p121) :args (@t58)) % 0.86/1.12 (step @p123 :rule eq_resolve :premises (@p26 @p122)) % 0.86/1.12 (step @p124 :rule instantiate :premises (@p123) :args ((@list tptp.xP tptp.xP))) % 0.86/1.13 (step @p125 :rule instantiate :premises (@p123) :args ((@list tptp.xR tptp.xS))) % 0.86/1.13 (step @p126 :rule instantiate :premises (@p123) :args ((@list tptp.xF tptp.xD))) % 0.86/1.13 (step @p127 :rule bool-impl-elim :args (@t12 @t60)) % 0.86/1.13 (step @p128 :rule cong :premises (@p127) :args (@t61)) % 0.86/1.13 (step @p129 :rule eq_resolve :premises (@p27 @p128)) % 0.86/1.13 (step @p130 :rule instantiate :premises (@p129) :args ((@list tptp.xA))) % 0.86/1.13 (step @p131 :rule and_elim :premises (@p44) :args (0)) % 0.86/1.13 (step @p132 :rule cnf_or_pos :args (@t119)) % 0.86/1.13 (step @p133 :rule reordering :premises (@p132) :args ((or @t118 @t117 (not @t119)))) % 0.86/1.13 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p130) :args (@t117 @t120 (@list @t80 @t119))) % 0.86/1.13 (step @p135 :rule true_intro :premises (@p134)) % 0.86/1.13 (step @p136 :rule and_elim :premises (@p49) :args (1)) % 0.86/1.13 (step @p137 :rule refl :args (tptp.sz0z00)) % 0.86/1.13 (step @p138 :rule cong :premises (@p137 @p136) :args (@t121)) % 0.86/1.13 (step @p139 :rule trans :premises (@p138 @p135)) % 0.86/1.13 (step @p140 :rule true_elim :premises (@p139)) % 0.86/1.13 (step @p141 :rule bool-impl-elim :args (@t62 @t74)) % 0.86/1.13 (step @p142 :rule cong :premises (@p141) :args (@t75)) % 0.86/1.13 (step @p143 :rule eq_resolve :premises (@p37 @p142)) % 0.86/1.13 (step @p144 :rule instantiate :premises (@p143) :args ((@list tptp.xq))) % 0.86/1.13 (step @p145 :rule and_elim :premises (@p43) :args (0)) % 0.86/1.13 (step @p146 :rule cnf_or_pos :args (@t124)) % 0.86/1.13 (step @p147 :rule reordering :premises (@p146) :args ((or @t123 @t122 (not @t124)))) % 0.86/1.13 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p144) :args (@t122 @t120 (@list @t79 @t124))) % 0.86/1.13 (step @p149 :rule true_intro :premises (@p148)) % 0.86/1.13 (step @p150 :rule and_elim :premises (@p47) :args (1)) % 0.86/1.13 (step @p151 :rule cong :premises (@p137 @p150) :args (@t125)) % 0.86/1.13 (step @p152 :rule trans :premises (@p151 @p149)) % 0.86/1.13 (step @p153 :rule true_elim :premises (@p152)) % 0.86/1.13 (step @p154 :rule and_elim :premises (@p49) :args (0)) % 0.86/1.13 (step @p155 :rule and_elim :premises (@p47) :args (0)) % 0.86/1.13 (step @p156 :rule cnf_or_pos :args (@t132)) % 0.86/1.13 (step @p157 :rule reordering :premises (@p156) :args ((or @t130 @t131 @t128 @t129 @t127 (not @t132)))) % 0.86/1.13 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p154 @p153 @p140 @p126) :args (@t127 @t133 (@list @t85 @t87 @t125 @t121 @t132))) % 0.86/1.13 (step @p159 :rule cnf_and_pos :args (@t127 1)) % 0.86/1.13 (step @p160 :rule reordering :premises (@p159) :args ((or @t126 (not @t127)))) % 0.86/1.13 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t126 @t134 (@list @t127))) % 0.86/1.13 (step @p162 :rule true_intro :premises (@p161)) % 0.86/1.13 (step @p163 :rule and_elim :premises (@p54) :args (1)) % 0.86/1.13 (step @p164 :rule cong :premises (@p137 @p163) :args (@t135)) % 0.86/1.13 (step @p165 :rule trans :premises (@p164 @p162)) % 0.86/1.13 (step @p166 :rule true_elim :premises (@p165)) % 0.86/1.13 (step @p167 :rule instantiate :premises (@p123) :args ((@list tptp.xC tptp.xG))) % 0.86/1.13 (step @p168 :rule instantiate :premises (@p129) :args ((@list tptp.xB))) % 0.86/1.13 (step @p169 :rule and_elim :premises (@p45) :args (0)) % 0.86/1.13 (step @p170 :rule cnf_or_pos :args (@t138)) % 0.86/1.13 (step @p171 :rule reordering :premises (@p170) :args ((or @t137 @t136 (not @t138)))) % 0.86/1.13 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p168) :args (@t136 @t120 (@list @t81 @t138))) % 0.86/1.13 (step @p173 :rule true_intro :premises (@p172)) % 0.86/1.13 (step @p174 :rule and_elim :premises (@p50) :args (1)) % 0.86/1.13 (step @p175 :rule cong :premises (@p137 @p174) :args (@t139)) % 0.86/1.13 (step @p176 :rule trans :premises (@p175 @p173)) % 0.86/1.13 (step @p177 :rule true_elim :premises (@p176)) % 0.86/1.13 (step @p178 :rule instantiate :premises (@p143) :args ((@list tptp.xp))) % 0.86/1.13 (step @p179 :rule and_elim :premises (@p42) :args (0)) % 0.86/1.13 (step @p180 :rule cnf_or_pos :args (@t142)) % 0.86/1.13 (step @p181 :rule reordering :premises (@p180) :args ((or @t141 @t140 (not @t142)))) % 0.86/1.13 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p178) :args (@t140 @t120 (@list @t78 @t142))) % 0.86/1.13 (step @p183 :rule true_intro :premises (@p182)) % 0.86/1.13 (step @p184 :rule and_elim :premises (@p46) :args (1)) % 0.86/1.13 (step @p185 :rule cong :premises (@p137 @p184) :args (@t143)) % 0.86/1.13 (step @p186 :rule trans :premises (@p185 @p183)) % 0.86/1.13 (step @p187 :rule true_elim :premises (@p186)) % 0.86/1.13 (step @p188 :rule and_elim :premises (@p50) :args (0)) % 0.86/1.13 (step @p189 :rule and_elim :premises (@p46) :args (0)) % 0.86/1.13 (step @p190 :rule cnf_or_pos :args (@t150)) % 0.86/1.13 (step @p191 :rule reordering :premises (@p190) :args ((or @t149 @t148 @t147 @t146 @t145 (not @t150)))) % 0.86/1.13 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188 @p187 @p177 @p167) :args (@t145 @t133 (@list @t83 @t89 @t143 @t139 @t150))) % 0.86/1.13 (step @p193 :rule cnf_and_pos :args (@t145 1)) % 0.86/1.13 (step @p194 :rule reordering :premises (@p193) :args ((or @t144 (not @t145)))) % 0.86/1.13 (step @p195 :rule chain_m_resolution :premises (@p194 @p192) :args (@t144 @t134 (@list @t145))) % 0.86/1.13 (step @p196 :rule true_intro :premises (@p195)) % 0.86/1.13 (step @p197 :rule and_elim :premises (@p52) :args (1)) % 0.86/1.13 (step @p198 :rule cong :premises (@p137 @p197) :args (@t151)) % 0.86/1.13 (step @p199 :rule trans :premises (@p198 @p196)) % 0.86/1.13 (step @p200 :rule true_elim :premises (@p199)) % 0.86/1.13 (step @p201 :rule cnf_or_pos :args (@t157)) % 0.86/1.13 (step @p202 :rule reordering :premises (@p201) :args ((or @t156 @t155 @t154 @t153 @t152 (not @t157)))) % 0.86/1.13 (step @p203 :rule chain_m_resolution :premises (@p202 @p64 @p66 @p200 @p166 @p125) :args (@t152 @t133 (@list @t91 @t95 @t151 @t135 @t157))) % 0.86/1.13 (step @p204 :rule cnf_and_pos :args (@t152 0)) % 0.86/1.13 (step @p205 :rule reordering :premises (@p204) :args ((or @t102 (not @t152)))) % 0.86/1.13 (step @p206 :rule chain_m_resolution :premises (@p205 @p203) :args (@t102 @t134 (@list @t152))) % 0.86/1.13 (step @p207 :rule not_and :premises (@p62)) % 0.86/1.13 (step @p208 :rule chain_m_resolution :premises (@p207 @p206) :args ((not @t101) @t134 (@list @t102))) % 0.86/1.13 (step @p209 :rule cnf_and_pos :args (@t158 0)) % 0.86/1.13 (step @p210 :rule reordering :premises (@p209) :args ((or @t101 @t159))) % 0.86/1.13 (step @p211 :rule chain_m_resolution :premises (@p210 @p208) :args (@t159 (@list true) (@list @t101))) % 0.86/1.13 (step @p212 :rule cnf_or_pos :args (@t162)) % 0.86/1.13 (step @p213 :rule factoring :premises (@p212)) % 0.86/1.13 (step @p214 :rule reordering :premises (@p213) :args ((or @t161 @t160 @t158 (not @t162)))) % 0.86/1.13 (step @p215 :rule chain_m_resolution :premises (@p214 @p65 @p211 @p124) :args (@t160 (@list false true false) (@list @t93 @t158 @t162))) % 0.86/1.13 (step @p216 :rule false_intro :premises (@p215)) % 0.86/1.13 (step @p217 :rule cong :premises (@p137 @p106) :args (@t163)) % 0.86/1.13 (step @p218 :rule trans :premises (@p217 @p216)) % 0.86/1.13 (step @p219 :rule false_elim :premises (@p218)) % 0.86/1.13 (step @p220 :rule cnf_or_pos :args (@t167)) % 0.86/1.13 (step @p221 :rule reordering :premises (@p220) :args ((or @t166 @t163 @t165 @t164 (not @t167)))) % 0.86/1.13 (step @p222 :rule chain_m_resolution :premises (@p221 @p9 @p219 @p109 @p103) :args (@t164 (@list false true false false) (@list @t13 @t163 @t113 @t167))) % 0.86/1.13 (step @p223 :rule true_intro :premises (@p222)) % 0.86/1.13 (step @p224 :rule cong :premises (@p105 @p137) :args (@t168)) % 0.86/1.13 (step @p225 :rule trans :premises (@p224 @p223)) % 0.86/1.13 (step @p226 :rule true_elim :premises (@p225)) % 0.86/1.13 (step @p227 :rule cnf_or_pos :args (@t173)) % 0.86/1.13 (step @p228 :rule factoring :premises (@p227)) % 0.86/1.13 (step @p229 :rule reordering :premises (@p228) :args ((or @t166 @t161 @t155 @t153 @t172 @t171 (not @t173)))) % 0.86/1.13 (step @p230 :rule chain_m_resolution :premises (@p229 @p9 @p65 @p66 @p166 @p226 @p93) :args (@t171 @t174 (@list @t13 @t93 @t95 @t135 @t168 @t173))) % 0.86/1.13 (step @p231 :rule true_intro :premises (@p230)) % 0.86/1.13 (step @p232 :rule bool-impl-elim :args (@t12 @t176)) % 0.86/1.13 (step @p233 :rule cong :premises (@p232) :args ((forall @t3 (=> @t12 @t176)))) % 0.86/1.13 (step @p234 :rule eq-symm :args (@t19 tptp.sz0z00)) % 0.86/1.13 (step @p235 :rule eq-symm :args (@t20 @t1)) % 0.86/1.13 (step @p236 :rule eq-symm :args (@t21 tptp.sz0z00)) % 0.86/1.13 (step @p237 :rule eq-symm :args (@t22 tptp.sz0z00)) % 0.86/1.13 (step @p238 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.86/1.13 (step @p239 :rule eq-symm :args (@t24 tptp.sz0z00)) % 0.86/1.13 (step @p240 :rule eq-symm :args (@t25 @t1)) % 0.86/1.13 (step @p241 :rule eq-symm :args (@t26 @t1)) % 0.86/1.13 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239 @p238 @p237 @p236 @p235 @p234) :args (@t27)) % 0.86/1.13 (step @p243 :rule refl :args (@t12)) % 0.86/1.13 (step @p244 :rule cong :premises (@p243 @p242) :args (@t28)) % 0.86/1.13 (step @p245 :rule cong :premises (@p244) :args (@t29)) % 0.86/1.13 (step @p246 :rule trans :premises (@p245 @p233)) % 0.86/1.13 (step @p247 :rule eq_resolve :premises (@p13 @p246)) % 0.86/1.13 (step @p248 :rule instantiate :premises (@p247) :args ((@list tptp.xS))) % 0.86/1.13 (step @p249 :rule cnf_or_pos :args (@t180)) % 0.86/1.13 (step @p250 :rule reordering :premises (@p249) :args ((or @t155 @t179 (not @t180)))) % 0.86/1.13 (step @p251 :rule chain_m_resolution :premises (@p250 @p66 @p248) :args (@t179 @t120 (@list @t95 @t180))) % 0.86/1.13 (step @p252 :rule cnf_and_pos :args (@t179 0)) % 0.86/1.13 (step @p253 :rule reordering :premises (@p252) :args ((or @t178 (not @t179)))) % 0.86/1.13 (step @p254 :rule chain_m_resolution :premises (@p253 @p251) :args (@t178 @t134 (@list @t179))) % 0.86/1.13 (step @p255 :rule instantiate :premises (@p247) :args ((@list tptp.xP))) % 0.86/1.13 (step @p256 :rule cnf_or_pos :args (@t184)) % 0.86/1.13 (step @p257 :rule reordering :premises (@p256) :args ((or @t161 @t183 (not @t184)))) % 0.86/1.13 (step @p258 :rule chain_m_resolution :premises (@p257 @p65 @p255) :args (@t183 @t120 (@list @t93 @t184))) % 0.86/1.13 (step @p259 :rule cnf_and_pos :args (@t183 1)) % 0.86/1.13 (step @p260 :rule reordering :premises (@p259) :args ((or @t182 (not @t183)))) % 0.86/1.13 (step @p261 :rule chain_m_resolution :premises (@p260 @p258) :args (@t182 @t134 (@list @t183))) % 0.86/1.13 (step @p262 :rule cong :premises (@p261 @p254) :args (@t185)) % 0.86/1.13 (step @p263 :rule trans :premises (@p262 @p231)) % 0.38/1.13 (step @p264 :rule true_elim :premises (@p263)) % 0.38/1.13 (step @p265 :rule instantiate :premises (@p91) :args ((@list tptp.sz0z00 tptp.xR tptp.xP tptp.sz0z00))) % 0.38/1.13 (step @p266 :rule cnf_or_pos :args (@t188)) % 0.38/1.13 (step @p267 :rule factoring :premises (@p266)) % 0.38/1.13 (step @p268 :rule reordering :premises (@p267) :args ((or @t166 @t156 @t161 @t154 @t172 @t187 (not @t188)))) % 0.38/1.13 (step @p269 :rule chain_m_resolution :premises (@p268 @p9 @p64 @p65 @p200 @p226 @p265) :args (@t187 @t174 (@list @t13 @t91 @t93 @t151 @t168 @t188))) % 0.38/1.13 (step @p270 :rule true_intro :premises (@p269)) % 0.38/1.13 (step @p271 :rule instantiate :premises (@p247) :args ((@list tptp.xR))) % 0.38/1.13 (step @p272 :rule cnf_or_pos :args (@t192)) % 0.38/1.13 (step @p273 :rule reordering :premises (@p272) :args ((or @t156 @t191 (not @t192)))) % 0.38/1.13 (step @p274 :rule chain_m_resolution :premises (@p273 @p64 @p271) :args (@t191 @t120 (@list @t91 @t192))) % 0.38/1.13 (step @p275 :rule cnf_and_pos :args (@t191 0)) % 0.38/1.13 (step @p276 :rule reordering :premises (@p275) :args ((or @t190 (not @t191)))) % 0.38/1.13 (step @p277 :rule chain_m_resolution :premises (@p276 @p274) :args (@t190 @t134 (@list @t191))) % 0.38/1.13 (step @p278 :rule cong :premises (@p261 @p277) :args (@t193)) % 0.38/1.13 (step @p279 :rule trans :premises (@p278 @p270)) % 0.38/1.13 (step @p280 :rule true_elim :premises (@p279)) % 0.38/1.13 (step @p281 :rule cnf_or_pos :args (@t196)) % 0.38/1.13 (step @p282 :rule factoring :premises (@p281)) % 0.38/1.13 (step @p283 :rule reordering :premises (@p282) :args ((or @t100 @t156 @t161 @t155 @t195 @t194 (not @t196)))) % 0.38/1.13 (step @p284 false :rule chain_m_resolution :premises (@p283 @p280 @p264 @p92 @p60 @p66 @p65 @p64) :args (false (@list false false false true false false false) (@list @t193 @t185 @t196 @t100 @t95 @t93 @t91))) % 0.38/1.13 ) % 0.38/1.13 % SZS output end Proof % 0.38/1.13 % cvc5 exiting %------------------------------------------------------------------------------