%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG064+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 : n004.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 08:45:33 AM UTC 2026 % Result : Theorem 24.93s 25.15s % Output : Proof 24.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG064+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 14:04:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 24.93/25.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 24.93/25.15 --- Run --no-e-matching --full-saturate-quant at 6... % 24.93/25.15 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 24.93/25.15 % SZS status Theorem % 24.93/25.15 % SZS output start Proof % 24.93/25.15 ( % 24.93/25.15 (declare-sort $$unsorted 0) % 24.93/25.15 (declare-const tptp.xN $$unsorted) % 24.93/25.15 (declare-const tptp.xS $$unsorted) % 24.93/25.15 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 24.93/25.15 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 24.93/25.15 (declare-const tptp.xq $$unsorted) % 24.93/25.15 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.xp $$unsorted) % 24.93/25.15 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.sz0z00 $$unsorted) % 24.93/25.15 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 24.93/25.15 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.xB $$unsorted) % 24.93/25.15 (declare-const tptp.sz00 $$unsorted) % 24.93/25.15 (declare-const tptp.xA $$unsorted) % 24.93/25.15 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 24.93/25.15 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.xt $$unsorted) % 24.93/25.15 (declare-const tptp.xs $$unsorted) % 24.93/25.15 (declare-const tptp.xG $$unsorted) % 24.93/25.15 (declare-const tptp.xC $$unsorted) % 24.93/25.15 (declare-const tptp.xD $$unsorted) % 24.93/25.15 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 24.93/25.15 (declare-const tptp.xE $$unsorted) % 24.93/25.15 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 24.93/25.15 (declare-const tptp.xF $$unsorted) % 24.93/25.15 (declare-const tptp.xH $$unsorted) % 24.93/25.15 (declare-const tptp.xR $$unsorted) % 24.93/25.15 (declare-const tptp.xP $$unsorted) % 24.93/25.15 (define @t1 () (@var "W0" $$unsorted)) % 24.93/25.15 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 24.93/25.15 (define @t3 () (@list @t1)) % 24.93/25.15 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 24.93/25.15 (define @t5 () (@var "W1" $$unsorted)) % 24.93/25.15 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 24.93/25.15 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 24.93/25.15 (define @t8 () (@list @t5)) % 24.93/25.15 (define @t9 () (= @t1 @t5)) % 24.93/25.15 (define @t10 () (and @t2 @t7)) % 24.93/25.15 (define @t11 () (@list @t1 @t5)) % 24.93/25.15 (define @t12 () (tptp.aScalar0 @t1)) % 24.93/25.15 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 24.93/25.15 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 24.93/25.15 (define @t15 () (tptp.aScalar0 @t5)) % 24.93/25.15 (define @t16 () (and @t12 @t15)) % 24.93/25.15 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 24.93/25.15 (define @t18 () (tptp.aScalar0 @t17)) % 24.93/25.15 (define @t19 () (forall @t11 (=> @t16 @t18))) % 24.93/25.15 (define @t20 () (tptp.smndt0 @t1)) % 24.93/25.15 (define @t21 () (tptp.aScalar0 @t20)) % 24.93/25.15 (define @t22 () (forall @t3 (=> @t12 @t21))) % 24.93/25.15 (define @t23 () (tptp.smndt0 tptp.sz0z00)) % 24.93/25.15 (define @t24 () (tptp.smndt0 @t20)) % 24.93/25.15 (define @t25 () (tptp.sdtpldt0 @t20 @t1)) % 24.93/25.15 (define @t26 () (tptp.sdtpldt0 @t1 @t20)) % 24.93/25.15 (define @t27 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 24.93/25.15 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 24.93/25.15 (define @t29 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 24.93/25.15 (define @t30 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 24.93/25.15 (define @t31 () (and (= @t30 @t1) (= @t29 @t1) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 @t1) (= @t23 tptp.sz0z00))) % 24.93/25.15 (define @t32 () (=> @t12 @t31)) % 24.93/25.15 (define @t33 () (forall @t3 @t32)) % 24.93/25.15 (define @t34 () (@var "W2" $$unsorted)) % 24.93/25.15 (define @t35 () (tptp.sdtasdt0 @t5 @t34)) % 24.93/25.15 (define @t36 () (tptp.sdtpldt0 @t5 @t34)) % 24.93/25.15 (define @t37 () (tptp.aScalar0 @t34)) % 24.93/25.15 (define @t38 () (and @t12 @t15 @t37)) % 24.93/25.15 (define @t39 () (@list @t1 @t5 @t34)) % 24.93/25.15 (define @t40 () (tptp.sdtasdt0 @t1 @t34)) % 24.93/25.15 (define @t41 () (@var "W3" $$unsorted)) % 24.93/25.15 (define @t42 () (tptp.sdtasdt0 @t5 @t41)) % 24.93/25.15 (define @t43 () (tptp.aScalar0 @t41)) % 24.93/25.15 (define @t44 () (and @t12 @t15 @t37 @t43)) % 24.93/25.15 (define @t45 () (@list @t1 @t5 @t34 @t41)) % 24.93/25.15 (define @t46 () (tptp.smndt0 @t17)) % 24.93/25.15 (define @t47 () (tptp.smndt0 @t5)) % 24.93/25.15 (define @t48 () (tptp.sdtasdt0 @t20 @t47)) % 24.93/25.15 (define @t49 () (=> @t16 (= @t48 @t17))) % 24.93/25.15 (define @t50 () (forall @t11 @t49)) % 24.93/25.15 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 24.93/25.15 (define @t52 () (tptp.sdtlseqdt0 @t1 @t1)) % 24.93/25.15 (define @t53 () (forall @t3 (=> @t12 @t52))) % 24.93/25.15 (define @t54 () (tptp.sdtlseqdt0 @t5 @t1)) % 24.93/25.15 (define @t55 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t34) (tptp.sdtpldt0 @t5 @t41))) % 24.93/25.15 (define @t56 () (tptp.sdtlseqdt0 @t34 @t41)) % 24.93/25.15 (define @t57 () (and @t51 @t56)) % 24.93/25.15 (define @t58 () (=> @t57 @t55)) % 24.93/25.15 (define @t59 () (forall @t45 (=> @t44 @t58))) % 24.93/25.15 (define @t60 () (tptp.sdtlseqdt0 @t40 @t42)) % 24.93/25.15 (define @t61 () (tptp.sdtlseqdt0 tptp.sz0z00 @t34)) % 24.93/25.15 (define @t62 () (and @t51 @t61 @t56)) % 24.93/25.15 (define @t63 () (=> @t62 @t60)) % 24.93/25.15 (define @t64 () (forall @t45 (=> @t44 @t63))) % 24.93/25.15 (define @t65 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17))) % 24.93/25.15 (define @t66 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 24.93/25.15 (define @t67 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 24.93/25.15 (define @t68 () (and @t67 @t66)) % 24.93/25.15 (define @t69 () (=> @t68 @t65)) % 24.93/25.15 (define @t70 () (forall @t11 (=> @t16 @t69))) % 24.93/25.15 (define @t71 () (tptp.sdtasdt0 @t1 @t1)) % 24.93/25.15 (define @t72 () (tptp.sdtlseqdt0 tptp.sz0z00 @t71)) % 24.93/25.15 (define @t73 () (forall @t3 (=> @t12 @t72))) % 24.93/25.15 (define @t74 () (= @t71 (tptp.sdtasdt0 @t5 @t5))) % 24.93/25.15 (define @t75 () (and @t67 @t66 @t74)) % 24.93/25.15 (define @t76 () (=> @t75 @t9)) % 24.93/25.15 (define @t77 () (forall @t11 (=> @t16 @t76))) % 24.93/25.15 (define @t78 () (tptp.aVector0 @t1)) % 24.93/25.15 (define @t79 () (tptp.aDimensionOf0 @t1)) % 24.93/25.15 (define @t80 () (tptp.aDimensionOf0 @t5)) % 24.93/25.15 (define @t81 () (tptp.aVector0 @t5)) % 24.93/25.15 (define @t82 () (tptp.sziznziztdt0 @t1)) % 24.93/25.15 (define @t83 () (tptp.sziznziztdt0 @t5)) % 24.93/25.15 (define @t84 () (= @t80 tptp.sz00)) % 24.93/25.15 (define @t85 () (= @t79 @t80)) % 24.93/25.15 (define @t86 () (and @t85 (not @t84))) % 24.93/25.15 (define @t87 () (and @t78 @t81)) % 24.93/25.15 (define @t88 () (tptp.sdtasasdt0 @t1 @t5)) % 24.93/25.15 (define @t89 () (tptp.sdtasasdt0 @t1 @t1)) % 24.93/25.15 (define @t90 () (tptp.sdtlseqdt0 tptp.sz0z00 @t89)) % 24.93/25.15 (define @t91 () (forall @t3 (=> @t78 @t90))) % 24.93/25.15 (define @t92 () (tptp.aDimensionOf0 tptp.xs)) % 24.93/25.15 (define @t93 () (tptp.aDimensionOf0 tptp.xt)) % 24.93/25.15 (define @t94 () (tptp.sziznziztdt0 tptp.xs)) % 24.93/25.15 (define @t95 () (tptp.aVector0 tptp.xp)) % 24.93/25.15 (define @t96 () (tptp.sziznziztdt0 tptp.xt)) % 24.93/25.15 (define @t97 () (tptp.aVector0 tptp.xq)) % 24.93/25.15 (define @t98 () (tptp.sdtlbdtrb0 tptp.xs @t92)) % 24.93/25.15 (define @t99 () (tptp.aScalar0 tptp.xA)) % 24.93/25.15 (define @t100 () (tptp.sdtlbdtrb0 tptp.xt @t93)) % 24.93/25.15 (define @t101 () (tptp.aScalar0 tptp.xB)) % 24.93/25.15 (define @t102 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 24.93/25.15 (define @t103 () (= tptp.xC @t102)) % 24.93/25.15 (define @t104 () (tptp.aScalar0 tptp.xC)) % 24.93/25.15 (define @t105 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 24.93/25.15 (define @t106 () (= tptp.xD @t105)) % 24.93/25.15 (define @t107 () (tptp.aScalar0 tptp.xD)) % 24.93/25.15 (define @t108 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 24.93/25.15 (define @t109 () (= tptp.xF @t108)) % 24.93/25.15 (define @t110 () (tptp.aScalar0 tptp.xF)) % 24.93/25.15 (define @t111 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 24.93/25.15 (define @t112 () (= tptp.xG @t111)) % 24.93/25.15 (define @t113 () (tptp.aScalar0 tptp.xG)) % 24.93/25.15 (define @t114 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 24.93/25.15 (define @t115 () (= tptp.xR @t114)) % 24.93/25.15 (define @t116 () (tptp.aScalar0 tptp.xR)) % 24.93/25.15 (define @t117 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 24.93/25.15 (define @t118 () (= tptp.xS @t117)) % 24.93/25.15 (define @t119 () (tptp.aScalar0 tptp.xS)) % 24.93/25.15 (define @t120 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 24.93/25.15 (define @t121 () (= tptp.xN @t120)) % 24.93/25.15 (define @t122 () (tptp.aScalar0 tptp.xN)) % 24.93/25.15 (define @t123 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 24.93/25.15 (define @t124 () (tptp.smndt0 tptp.xS)) % 24.93/25.15 (define @t125 () (tptp.sdtasdt0 @t124 @t124)) % 24.93/25.15 (define @t126 () (= @t125 @t123)) % 24.93/25.15 (define @t127 () (tptp.smndt0 tptp.xN)) % 24.93/25.15 (define @t128 () (tptp.sdtasdt0 @t124 tptp.xR)) % 24.93/25.15 (define @t129 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 24.93/25.15 (define @t130 () (tptp.sdtpldt0 @t129 @t127)) % 24.93/25.15 (define @t131 () (tptp.sdtpldt0 tptp.xR @t124)) % 24.93/25.15 (define @t132 () (tptp.sdtasdt0 @t131 @t131)) % 24.93/25.15 (define @t133 () (tptp.sdtpldt0 @t129 @t123)) % 24.93/25.15 (define @t134 () (tptp.sdtpldt0 tptp.xN tptp.xN)) % 24.93/25.15 (define @t135 () (tptp.sdtlseqdt0 @t134 @t133)) % 24.93/25.15 (define @t136 () (not @t135)) % 24.93/25.15 (define @t137 () (not @t56)) % 24.93/25.15 (define @t138 () (not @t61)) % 24.93/25.15 (define @t139 () (not @t51)) % 24.93/25.15 (define @t140 () (not @t43)) % 24.93/25.15 (define @t141 () (not @t37)) % 24.93/25.15 (define @t142 () (not @t15)) % 24.93/25.15 (define @t143 () (not @t12)) % 24.93/25.15 (define @t144 () (or @t139 @t138 @t137 @t60)) % 24.93/25.15 (define @t145 () (or @t143 @t142 @t141 @t140)) % 24.93/25.15 (define @t146 () (or @t139 @t138 @t137)) % 24.93/25.15 (define @t147 () (not @t44)) % 24.93/25.15 (define @t148 () (tptp.sdtasdt0 @t100 @t100)) % 24.93/25.15 (define @t149 () (tptp.sdtasasdt0 @t94 @t94)) % 24.93/25.15 (define @t150 () (= tptp.sz0z00 @t23)) % 24.93/25.15 (define @t151 () (and (= @t1 @t30) (= @t1 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= @t1 @t24) @t150)) % 24.93/25.15 (define @t152 () (@list @t148)) % 24.93/25.15 (define @t153 () (tptp.smndt0 @t148)) % 24.93/25.15 (define @t154 () (tptp.sdtasdt0 tptp.sz0z00 @t148)) % 24.93/25.15 (define @t155 () (= tptp.sz0z00 @t154)) % 24.93/25.15 (define @t156 () (and (= @t148 (tptp.sdtpldt0 @t148 tptp.sz0z00)) (= @t148 (tptp.sdtpldt0 tptp.sz0z00 @t148)) (= tptp.sz0z00 (tptp.sdtasdt0 @t148 tptp.sz0z00)) @t155 (= tptp.sz0z00 (tptp.sdtpldt0 @t148 @t153)) (= tptp.sz0z00 (tptp.sdtpldt0 @t153 @t148)) (= @t148 (tptp.smndt0 @t153)) @t150)) % 24.93/25.15 (define @t157 () (tptp.aScalar0 @t148)) % 24.93/25.15 (define @t158 () (not @t157)) % 24.93/25.15 (define @t159 () (or @t158 @t156)) % 24.93/25.15 (define @t160 () (@list false false)) % 24.93/25.15 (define @t161 () (@list false)) % 24.93/25.15 (define @t162 () (tptp.sdtasdt0 @t149 @t148)) % 24.93/25.15 (define @t163 () (tptp.sdtasasdt0 @t96 @t96)) % 24.93/25.15 (define @t164 () (tptp.sdtasdt0 @t98 @t98)) % 24.93/25.15 (define @t165 () (tptp.sdtasdt0 @t164 @t163)) % 24.93/25.15 (define @t166 () (tptp.smndt0 @t165)) % 24.93/25.15 (define @t167 () (@list @t166)) % 24.93/25.15 (define @t168 () (tptp.aScalar0 @t166)) % 24.93/25.15 (define @t169 () (tptp.aScalar0 @t165)) % 24.93/25.15 (define @t170 () (not @t169)) % 24.93/25.15 (define @t171 () (or @t170 @t168)) % 24.93/25.15 (define @t172 () (tptp.smndt0 @t166)) % 24.93/25.15 (define @t173 () (tptp.sdtasdt0 @t166 tptp.sz0z00)) % 24.93/25.15 (define @t174 () (= tptp.sz0z00 @t173)) % 24.93/25.15 (define @t175 () (and (= @t166 (tptp.sdtpldt0 @t166 tptp.sz0z00)) (= @t166 (tptp.sdtpldt0 tptp.sz0z00 @t166)) @t174 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t166)) (= tptp.sz0z00 (tptp.sdtpldt0 @t166 @t172)) (= tptp.sz0z00 (tptp.sdtpldt0 @t172 @t166)) (= @t166 (tptp.smndt0 @t172)) @t150)) % 24.93/25.15 (define @t176 () (not @t168)) % 24.93/25.15 (define @t177 () (or @t176 @t175)) % 24.93/25.15 (define @t178 () (not @t74)) % 24.93/25.15 (define @t179 () (not @t66)) % 24.93/25.15 (define @t180 () (not @t67)) % 24.93/25.15 (define @t181 () (or @t180 @t179 @t178 @t9)) % 24.93/25.15 (define @t182 () (or @t143 @t142)) % 24.93/25.15 (define @t183 () (or @t180 @t179 @t178)) % 24.93/25.15 (define @t184 () (not @t16)) % 24.93/25.15 (define @t185 () (tptp.sdtasdt0 @t162 @t165)) % 24.93/25.15 (define @t186 () (tptp.smndt0 @t185)) % 24.93/25.15 (define @t187 () (or @t139 @t137 @t55)) % 24.93/25.15 (define @t188 () (tptp.sdtasdt0 @t165 @t165)) % 24.93/25.15 (define @t189 () (tptp.sdtasdt0 @t162 @t162)) % 24.93/25.15 (define @t190 () (tptp.aScalar0 @t189)) % 24.93/25.15 (define @t191 () (tptp.aScalar0 @t162)) % 24.93/25.15 (define @t192 () (not @t191)) % 24.93/25.15 (define @t193 () (or @t192 @t192 @t190)) % 24.93/25.15 (define @t194 () (or @t180 @t179 @t65)) % 24.93/25.15 (define @t195 () (tptp.sdtlseqdt0 tptp.sz0z00 @t164)) % 24.93/25.15 (define @t196 () (tptp.aScalar0 @t98)) % 24.93/25.15 (define @t197 () (not @t196)) % 24.93/25.15 (define @t198 () (or @t197 @t195)) % 24.93/25.15 (define @t199 () (tptp.sdtlseqdt0 tptp.sz0z00 @t163)) % 24.93/25.15 (define @t200 () (tptp.aVector0 @t96)) % 24.93/25.15 (define @t201 () (not @t200)) % 24.93/25.15 (define @t202 () (or @t201 @t199)) % 24.93/25.15 (define @t203 () (tptp.sdtlseqdt0 tptp.sz0z00 @t165)) % 24.93/25.15 (define @t204 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 @t164 @t163)) @t203)) % 24.93/25.15 (define @t205 () (not @t199)) % 24.93/25.15 (define @t206 () (not @t195)) % 24.93/25.15 (define @t207 () (tptp.aScalar0 @t163)) % 24.93/25.15 (define @t208 () (not @t207)) % 24.93/25.15 (define @t209 () (tptp.aScalar0 @t164)) % 24.93/25.15 (define @t210 () (not @t209)) % 24.93/25.15 (define @t211 () (or @t210 @t208 @t206 @t205 @t204)) % 24.93/25.15 (define @t212 () (@list false false false false false)) % 24.93/25.15 (define @t213 () (@list tptp.sz0z00)) % 24.93/25.15 (define @t214 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 24.93/25.15 (define @t215 () (not @t13)) % 24.93/25.15 (define @t216 () (or @t215 @t214)) % 24.93/25.15 (define @t217 () (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00)) % 24.93/25.15 (define @t218 () (tptp.sdtlseqdt0 @t217 @t188)) % 24.93/25.15 (define @t219 () (not @t203)) % 24.93/25.15 (define @t220 () (not @t214)) % 24.93/25.15 (define @t221 () (or @t215 @t170 @t215 @t170 @t219 @t220 @t219 @t218)) % 24.93/25.15 (define @t222 () (tptp.sdtasdt0 @t166 @t166)) % 24.93/25.15 (define @t223 () (= tptp.sz0z00 @t217)) % 24.93/25.15 (define @t224 () (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00)) % 24.93/25.15 (define @t225 () (= tptp.sz0z00 @t224)) % 24.93/25.15 (define @t226 () (and @t225 @t225 @t223 @t223 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t23)) (= tptp.sz0z00 (tptp.sdtpldt0 @t23 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t23)) @t150)) % 24.93/25.15 (define @t227 () (or @t215 @t226)) % 24.93/25.15 (define @t228 () (not @t226)) % 24.93/25.15 (define @t229 () (@list @t226)) % 24.93/25.15 (define @t230 () (tptp.sdtlseqdt0 tptp.sz0z00 @t188)) % 24.93/25.15 (define @t231 () (tptp.aScalar0 @t188)) % 24.93/25.15 (define @t232 () (or @t170 @t170 @t231)) % 24.93/25.15 (define @t233 () (@list @t162)) % 24.93/25.15 (define @t234 () (tptp.sdtlseqdt0 tptp.sz0z00 @t189)) % 24.93/25.15 (define @t235 () (or @t192 @t234)) % 24.93/25.15 (define @t236 () (tptp.sdtpldt0 @t189 @t188)) % 24.93/25.15 (define @t237 () (tptp.sdtlseqdt0 @t224 @t236)) % 24.93/25.15 (define @t238 () (not @t230)) % 24.93/25.15 (define @t239 () (not @t234)) % 24.93/25.15 (define @t240 () (not @t231)) % 24.93/25.15 (define @t241 () (not @t190)) % 24.93/25.15 (define @t242 () (or @t215 @t241 @t215 @t240 @t239 @t238 @t237)) % 24.93/25.15 (define @t243 () (@list @t185)) % 24.93/25.15 (define @t244 () (= tptp.sz0z00 (tptp.sdtpldt0 @t185 @t186))) % 24.93/25.15 (define @t245 () (and (= @t185 (tptp.sdtpldt0 @t185 tptp.sz0z00)) (= @t185 (tptp.sdtpldt0 tptp.sz0z00 @t185)) (= tptp.sz0z00 (tptp.sdtasdt0 @t185 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t185)) @t244 (= tptp.sz0z00 (tptp.sdtpldt0 @t186 @t185)) (= @t185 (tptp.smndt0 @t186)) @t150)) % 24.93/25.15 (define @t246 () (tptp.aScalar0 @t185)) % 24.93/25.15 (define @t247 () (not @t246)) % 24.93/25.15 (define @t248 () (or @t247 @t245)) % 24.93/25.15 (define @t249 () (not @t237)) % 24.93/25.15 (define @t250 () (= @t185 @t186)) % 24.93/25.15 (define @t251 () (not @t250)) % 24.93/25.15 (define @t252 () (not @t244)) % 24.93/25.15 (define @t253 () (not @t223)) % 24.93/25.15 (define @t254 () (not @t225)) % 24.93/25.15 (define @t255 () (tptp.sdtpldt0 @t185 @t185)) % 24.93/25.15 (define @t256 () (tptp.sdtlseqdt0 @t255 @t236)) % 24.93/25.15 (define @t257 () (not @t256)) % 24.93/25.15 (define @t258 () (and @t237 @t225 @t223 @t244 @t250 @t257)) % 24.93/25.15 (define @t259 () (= @t17 @t48)) % 24.93/25.15 (define @t260 () (= (tptp.sdtasdt0 @t185 @t185) (tptp.sdtasdt0 @t186 @t186))) % 24.93/25.15 (define @t261 () (or @t247 @t247 @t260)) % 24.93/25.15 (define @t262 () (tptp.aScalar0 @t186)) % 24.93/25.15 (define @t263 () (or @t247 @t262)) % 24.93/25.15 (define @t264 () (tptp.sdtlseqdt0 @t162 @t162)) % 24.93/25.15 (define @t265 () (or @t192 @t264)) % 24.93/25.15 (define @t266 () (tptp.sdtasdt0 @t162 tptp.sz0z00)) % 24.93/25.15 (define @t267 () (tptp.sdtlseqdt0 @t266 @t185)) % 24.93/25.15 (define @t268 () (not @t264)) % 24.93/25.15 (define @t269 () (or @t192 @t192 @t215 @t170 @t268 @t220 @t219 @t267)) % 24.93/25.15 (define @t270 () (tptp.smndt0 @t162)) % 24.93/25.15 (define @t271 () (= tptp.sz0z00 @t266)) % 24.93/25.15 (define @t272 () (and (= @t162 (tptp.sdtpldt0 @t162 tptp.sz0z00)) (= @t162 (tptp.sdtpldt0 tptp.sz0z00 @t162)) @t271 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t162)) (= tptp.sz0z00 (tptp.sdtpldt0 @t162 @t270)) (= tptp.sz0z00 (tptp.sdtpldt0 @t270 @t162)) (= @t162 (tptp.smndt0 @t270)) @t150)) % 24.93/25.15 (define @t273 () (or @t192 @t272)) % 24.93/25.15 (define @t274 () (tptp.sdtlseqdt0 tptp.sz0z00 @t185)) % 24.93/25.15 (define @t275 () (not @t260)) % 24.93/25.15 (define @t276 () (tptp.sdtlseqdt0 tptp.sz0z00 @t186)) % 24.93/25.15 (define @t277 () (not @t276)) % 24.93/25.15 (define @t278 () (not @t274)) % 24.93/25.15 (define @t279 () (not @t262)) % 24.93/25.15 (define @t280 () (or @t247 @t279 @t278 @t277 @t275 @t250)) % 24.93/25.15 (define @t281 () (tptp.sdtasdt0 @t166 @t162)) % 24.93/25.15 (define @t282 () (tptp.sdtlseqdt0 @t173 @t281)) % 24.93/25.15 (define @t283 () (not @t282)) % 24.93/25.15 (define @t284 () (not @t174)) % 24.93/25.15 (define @t285 () (= @t186 @t281)) % 24.93/25.15 (define @t286 () (not @t285)) % 24.93/25.15 (define @t287 () (and @t285 @t277 @t174)) % 24.93/25.15 (define @t288 () (tptp.sdtlseqdt0 @t166 @t166)) % 24.93/25.15 (define @t289 () (or @t176 @t288)) % 24.93/25.15 (define @t290 () (tptp.sdtlseqdt0 tptp.sz0z00 @t162)) % 24.93/25.15 (define @t291 () (not @t290)) % 24.93/25.15 (define @t292 () (not @t288)) % 24.93/25.15 (define @t293 () (or @t176 @t176 @t215 @t192 @t292 @t220 @t291 @t282)) % 24.93/25.15 (define @t294 () (@list false false false false false true false)) % 24.93/25.15 (define @t295 () (tptp.sdtlseqdt0 @t154 @t162)) % 24.93/25.15 (define @t296 () (not @t295)) % 24.93/25.15 (define @t297 () (not @t155)) % 24.93/25.15 (define @t298 () (and @t291 @t155)) % 24.93/25.15 (define @t299 () (@list true false)) % 24.93/25.15 (define @t300 () (tptp.sdtlseqdt0 @t148 @t148)) % 24.93/25.15 (define @t301 () (or @t158 @t300)) % 24.93/25.15 (define @t302 () (tptp.sdtlseqdt0 tptp.sz0z00 @t148)) % 24.93/25.15 (define @t303 () (tptp.aScalar0 @t100)) % 24.93/25.15 (define @t304 () (not @t303)) % 24.93/25.15 (define @t305 () (or @t304 @t302)) % 24.93/25.15 (define @t306 () (not @t300)) % 24.93/25.15 (define @t307 () (not @t302)) % 24.93/25.15 (define @t308 () (tptp.sdtlseqdt0 tptp.sz0z00 @t149)) % 24.93/25.15 (define @t309 () (not @t308)) % 24.93/25.15 (define @t310 () (tptp.aScalar0 @t149)) % 24.93/25.15 (define @t311 () (not @t310)) % 24.93/25.15 (define @t312 () (or @t215 @t311 @t158 @t158 @t309 @t307 @t306 @t295)) % 24.93/25.15 (define @t313 () (tptp.aVector0 @t94)) % 24.93/25.15 (define @t314 () (not @t313)) % 24.93/25.15 (define @t315 () (or @t314 @t308)) % 24.93/25.15 (define @t316 () (not @t315)) % 24.93/25.15 (define @t317 () (forall @t3 (or (not @t78) @t90))) % 24.93/25.15 (assume @p1 (forall @t3 (=> @t2 true))) % 24.93/25.15 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 24.93/25.15 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 24.93/25.15 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 24.93/25.15 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 24.93/25.15 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 24.93/25.15 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 24.93/25.15 (assume @p8 (forall @t3 (=> @t12 true))) % 24.93/25.15 (assume @p9 @t13) % 24.93/25.15 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 24.93/25.15 (assume @p11 @t19) % 24.93/25.15 (assume @p12 @t22) % 24.93/25.15 (assume @p13 @t33) % 24.93/25.15 (assume @p14 (forall @t39 (=> @t38 (and (= (tptp.sdtpldt0 @t14 @t34) (tptp.sdtpldt0 @t1 @t36)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t34) (tptp.sdtasdt0 @t1 @t35)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))))) % 24.93/25.15 (assume @p15 (forall @t39 (=> @t38 (and (= (tptp.sdtasdt0 @t1 @t36) (tptp.sdtpldt0 @t17 @t40)) (= (tptp.sdtasdt0 @t14 @t34) (tptp.sdtpldt0 @t40 @t35)))))) % 24.93/25.15 (assume @p16 (forall @t45 (=> @t44 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t34 @t41)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t40 (tptp.sdtasdt0 @t1 @t41)) (tptp.sdtpldt0 @t35 @t42)))))) % 24.93/25.15 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t47) @t46) (= (tptp.sdtasdt0 @t20 @t5) @t46))))) % 24.93/25.15 (assume @p18 @t50) % 24.93/25.15 (assume @p19 (forall @t11 (=> @t16 (=> @t51 true)))) % 24.93/25.15 (assume @p20 @t53) % 24.93/25.15 (assume @p21 (forall @t11 (=> @t16 (=> (and @t51 @t54) @t9)))) % 24.93/25.15 (assume @p22 (forall @t39 (=> @t38 (=> (and @t51 (tptp.sdtlseqdt0 @t5 @t34)) (tptp.sdtlseqdt0 @t1 @t34))))) % 24.93/25.15 (assume @p23 @t59) % 24.93/25.15 (assume @p24 @t64) % 24.93/25.15 (assume @p25 (forall @t11 (=> @t16 (or @t51 @t54)))) % 24.93/25.15 (assume @p26 @t70) % 24.93/25.15 (assume @p27 @t73) % 24.93/25.15 (assume @p28 @t77) % 24.93/25.15 (assume @p29 (forall @t3 (=> @t78 true))) % 24.93/25.15 (assume @p30 (forall @t3 (=> @t78 (tptp.aNaturalNumber0 @t79)))) % 24.93/25.15 (assume @p31 (forall @t11 (=> (and @t78 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 24.93/25.15 (assume @p32 (forall @t3 (=> @t78 (=> (not (= @t79 tptp.sz00)) (forall @t8 (= (= @t5 @t82) (and @t81 (= (tptp.szszuzczcdt0 @t80) @t79) (forall (@list @t34) (=> (tptp.aNaturalNumber0 @t34) (= (tptp.sdtlbdtrb0 @t5 @t34) (tptp.sdtlbdtrb0 @t1 @t34))))))))))) % 24.93/25.15 (assume @p33 (forall @t11 (=> @t87 (=> @t86 (= (tptp.aDimensionOf0 @t82) (tptp.aDimensionOf0 @t83)))))) % 24.93/25.15 (assume @p34 (forall @t11 (=> @t87 (=> @t85 (tptp.aScalar0 @t88))))) % 24.93/25.15 (assume @p35 (forall @t11 (=> @t87 (=> (and @t85 @t84) (= @t88 tptp.sz0z00))))) % 24.93/25.15 (assume @p36 (forall @t11 (=> @t87 (=> @t86 (= @t88 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t82 @t83) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t79) (tptp.sdtlbdtrb0 @t5 @t80)))))))) % 24.93/25.15 (assume @p37 @t91) % 24.93/25.15 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 24.93/25.15 (assume @p39 (forall @t11 (=> @t87 (=> @t85 (=> (tptp.iLess0 @t79 @t92) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t88 @t88) (tptp.sdtasdt0 @t89 (tptp.sdtasasdt0 @t5 @t5)))))))) % 24.93/25.15 (assume @p40 (= @t92 @t93)) % 24.93/25.15 (assume @p41 (not (= @t92 tptp.sz00))) % 24.93/25.15 (assume @p42 (and @t95 (= tptp.xp @t94))) % 24.93/25.15 (assume @p43 (and @t97 (= tptp.xq @t96))) % 24.93/25.15 (assume @p44 (and @t99 (= tptp.xA @t98))) % 24.93/25.15 (assume @p45 (and @t101 (= tptp.xB @t100))) % 24.93/25.15 (assume @p46 (and @t104 @t103)) % 24.93/25.15 (assume @p47 (and @t107 @t106)) % 24.93/25.15 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 24.93/25.15 (assume @p49 (and @t110 @t109)) % 24.93/25.15 (assume @p50 (and @t113 @t112)) % 24.93/25.15 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 24.93/25.15 (assume @p52 (and @t116 @t115)) % 24.93/25.15 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 24.93/25.15 (assume @p54 (and @t119 @t118)) % 24.93/25.15 (assume @p55 (and @t122 @t121)) % 24.93/25.15 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 24.93/25.15 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 24.93/25.15 (assume @p58 (and (= (tptp.sdtasdt0 tptp.xR @t124) @t127) (= @t128 @t127) @t126)) % 24.93/25.15 (assume @p59 (= @t132 (tptp.sdtpldt0 @t130 (tptp.sdtpldt0 @t127 @t123)))) % 24.93/25.15 (assume @p60 (= @t132 (tptp.sdtpldt0 @t130 (tptp.sdtpldt0 @t123 @t127)))) % 24.93/25.15 (assume @p61 (= @t132 (tptp.sdtpldt0 (tptp.sdtpldt0 @t133 @t127) @t127))) % 24.93/25.15 (assume @p62 (= (tptp.sdtpldt0 (tptp.sdtpldt0 @t132 tptp.xN) tptp.xN) @t133)) % 24.93/25.15 (assume @p63 (tptp.sdtlseqdt0 tptp.sz0z00 @t132)) % 24.93/25.15 (assume @p64 @t136) % 24.93/25.15 (assume @p65 true) % 24.93/25.15 (step @p66 :rule bool-impl-elim :args (@t78 @t90)) % 24.93/25.15 (step @p67 :rule cong :premises (@p66) :args (@t91)) % 24.93/25.15 (step @p68 :rule eq_resolve :premises (@p37 @p67)) % 24.93/25.15 (step @p69 :rule aci_norm :args ((= (or @t145 @t144) (or @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t60)))) % 24.93/25.15 (step @p70 :rule aci_norm :args ((= (or @t146 @t60) @t144))) % 24.93/25.15 (step @p71 :rule refl :args (@t60)) % 24.93/25.15 (step @p72 :rule aci_norm :args ((= (or @t139 (or @t138 @t137)) @t146))) % 24.93/25.15 (step @p73 :rule bool-and-de-morgan :args (@t61 @t56 true)) % 24.93/25.15 (step @p74 :rule refl :args (@t139)) % 24.93/25.15 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t139 (not (and @t61 @t56))))) % 24.93/25.15 (step @p76 :rule bool-and-de-morgan :args (@t51 @t61 (and @t56))) % 24.93/25.15 (step @p77 :rule trans :premises (@p76 @p75)) % 24.93/25.15 (step @p78 :rule trans :premises (@p77 @p72)) % 24.93/25.15 (step @p79 :rule nary_cong :premises (@p78 @p71) :args ((or (not @t62) @t60))) % 24.93/25.15 (step @p80 :rule trans :premises (@p79 @p70)) % 24.93/25.15 (step @p81 :rule bool-impl-elim :args (@t62 @t60)) % 24.93/25.15 (step @p82 :rule trans :premises (@p81 @p80)) % 24.93/25.15 (step @p83 :rule aci_norm :args ((= (or @t143 (or @t142 (or @t141 @t140))) @t145))) % 24.93/25.15 (step @p84 :rule bool-and-de-morgan :args (@t37 @t43 true)) % 24.93/25.15 (step @p85 :rule refl :args (@t142)) % 24.93/25.15 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t142 (not (and @t37 @t43))))) % 24.93/25.15 (step @p87 :rule bool-and-de-morgan :args (@t15 @t37 (and @t43))) % 24.93/25.15 (step @p88 :rule trans :premises (@p87 @p86)) % 24.93/25.15 (step @p89 :rule refl :args (@t143)) % 24.93/25.15 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t143 (not (and @t15 @t37 @t43))))) % 24.93/25.15 (step @p91 :rule bool-and-de-morgan :args (@t12 @t15 (and @t37 @t43))) % 24.93/25.15 (step @p92 :rule trans :premises (@p91 @p90)) % 24.93/25.15 (step @p93 :rule trans :premises (@p92 @p83)) % 24.93/25.15 (step @p94 :rule nary_cong :premises (@p93 @p82) :args ((or @t147 @t63))) % 24.93/25.15 (step @p95 :rule trans :premises (@p94 @p69)) % 24.93/25.15 (step @p96 :rule bool-impl-elim :args (@t44 @t63)) % 24.93/25.15 (step @p97 :rule trans :premises (@p96 @p95)) % 24.93/25.15 (step @p98 :rule cong :premises (@p97) :args (@t64)) % 24.93/25.15 (step @p99 :rule eq_resolve :premises (@p24 @p98)) % 24.93/25.15 (step @p100 :rule instantiate :premises (@p99) :args ((@list tptp.sz0z00 @t149 @t148 @t148))) % 24.93/25.15 (step @p101 :rule bool-impl-elim :args (@t12 @t151)) % 24.93/25.15 (step @p102 :rule cong :premises (@p101) :args ((forall @t3 (=> @t12 @t151)))) % 24.93/25.15 (step @p103 :rule eq-symm :args (@t23 tptp.sz0z00)) % 24.93/25.15 (step @p104 :rule eq-symm :args (@t24 @t1)) % 24.93/25.15 (step @p105 :rule eq-symm :args (@t25 tptp.sz0z00)) % 24.93/25.15 (step @p106 :rule eq-symm :args (@t26 tptp.sz0z00)) % 24.93/25.15 (step @p107 :rule eq-symm :args (@t27 tptp.sz0z00)) % 24.93/25.15 (step @p108 :rule eq-symm :args (@t28 tptp.sz0z00)) % 24.93/25.15 (step @p109 :rule eq-symm :args (@t29 @t1)) % 24.93/25.15 (step @p110 :rule eq-symm :args (@t30 @t1)) % 24.93/25.15 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103) :args (@t31)) % 24.93/25.15 (step @p112 :rule refl :args (@t12)) % 24.93/25.15 (step @p113 :rule cong :premises (@p112 @p111) :args (@t32)) % 24.93/25.15 (step @p114 :rule cong :premises (@p113) :args (@t33)) % 24.93/25.15 (step @p115 :rule trans :premises (@p114 @p102)) % 24.93/25.15 (step @p116 :rule eq_resolve :premises (@p13 @p115)) % 24.93/25.15 (step @p117 :rule instantiate :premises (@p116) :args (@t152)) % 24.93/25.15 (step @p118 :rule and_elim :premises (@p45) :args (1)) % 24.93/25.15 (step @p119 :rule cong :premises (@p118 @p118) :args (@t111)) % 24.93/25.15 (step @p120 :rule refl :args (tptp.xG)) % 24.93/25.15 (step @p121 :rule cong :premises (@p120 @p119) :args (@t112)) % 24.93/25.15 (step @p122 :rule and_elim :premises (@p50) :args (1)) % 24.93/25.15 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 24.93/25.15 (step @p124 :rule cong :premises (@p123) :args (@t113)) % 24.93/25.15 (step @p125 :rule and_elim :premises (@p50) :args (0)) % 24.93/25.15 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 24.93/25.15 (step @p127 :rule cnf_or_pos :args (@t159)) % 24.93/25.15 (step @p128 :rule reordering :premises (@p127) :args ((or @t158 @t156 (not @t159)))) % 24.93/25.15 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p117) :args (@t156 @t160 (@list @t157 @t159))) % 24.93/25.15 (step @p130 :rule cnf_and_pos :args (@t156 3)) % 24.93/25.15 (step @p131 :rule reordering :premises (@p130) :args ((or @t155 (not @t156)))) % 24.93/25.15 (step @p132 :rule chain_m_resolution :premises (@p131 @p129) :args (@t155 @t161 (@list @t156))) % 24.93/25.15 (step @p133 :rule instantiate :premises (@p99) :args ((@list @t166 @t166 tptp.sz0z00 @t162))) % 24.93/25.15 (step @p134 :rule instantiate :premises (@p116) :args (@t167)) % 24.93/25.15 (step @p135 :rule bool-impl-elim :args (@t12 @t21)) % 24.93/25.15 (step @p136 :rule cong :premises (@p135) :args (@t22)) % 24.93/25.15 (step @p137 :rule eq_resolve :premises (@p12 @p136)) % 24.93/25.15 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t165))) % 24.93/25.15 (step @p139 :rule and_elim :premises (@p43) :args (1)) % 24.93/25.15 (step @p140 :rule cong :premises (@p139 @p139) :args (@t105)) % 24.93/25.15 (step @p141 :rule refl :args (tptp.xD)) % 24.93/25.15 (step @p142 :rule cong :premises (@p141 @p140) :args (@t106)) % 24.93/25.15 (step @p143 :rule and_elim :premises (@p47) :args (1)) % 24.93/25.15 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 24.93/25.15 (step @p145 :rule and_elim :premises (@p44) :args (1)) % 24.93/25.15 (step @p146 :rule cong :premises (@p145 @p145) :args (@t108)) % 24.93/25.15 (step @p147 :rule refl :args (tptp.xF)) % 24.93/25.15 (step @p148 :rule cong :premises (@p147 @p146) :args (@t109)) % 24.93/25.15 (step @p149 :rule and_elim :premises (@p49) :args (1)) % 24.93/25.15 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 24.93/25.15 (step @p151 :rule cong :premises (@p150 @p144) :args (@t117)) % 24.93/25.15 (step @p152 :rule refl :args (tptp.xS)) % 24.93/25.15 (step @p153 :rule cong :premises (@p152 @p151) :args (@t118)) % 24.93/25.15 (step @p154 :rule and_elim :premises (@p54) :args (1)) % 24.93/25.15 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 24.93/25.15 (step @p156 :rule cong :premises (@p155) :args (@t119)) % 24.93/25.15 (step @p157 :rule and_elim :premises (@p54) :args (0)) % 24.93/25.15 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 24.93/25.15 (step @p159 :rule cnf_or_pos :args (@t171)) % 24.93/25.15 (step @p160 :rule reordering :premises (@p159) :args ((or @t170 @t168 (not @t171)))) % 24.93/25.15 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p138) :args (@t168 @t160 (@list @t169 @t171))) % 24.93/25.15 (step @p162 :rule cnf_or_pos :args (@t177)) % 24.93/25.15 (step @p163 :rule reordering :premises (@p162) :args ((or @t176 @t175 (not @t177)))) % 24.93/25.15 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p134) :args (@t175 @t160 (@list @t168 @t177))) % 24.93/25.15 (step @p165 :rule cnf_and_pos :args (@t175 2)) % 24.93/25.15 (step @p166 :rule reordering :premises (@p165) :args ((or @t174 (not @t175)))) % 24.93/25.15 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t174 @t161 (@list @t175))) % 24.93/25.15 (step @p168 :rule aci_norm :args ((= (or @t182 @t181) (or @t143 @t142 @t180 @t179 @t178 @t9)))) % 24.93/25.15 (step @p169 :rule aci_norm :args ((= (or @t183 @t9) @t181))) % 24.93/25.15 (step @p170 :rule refl :args (@t9)) % 24.93/25.15 (step @p171 :rule aci_norm :args ((= (or @t180 (or @t179 @t178)) @t183))) % 24.93/25.15 (step @p172 :rule bool-and-de-morgan :args (@t66 @t74 true)) % 24.93/25.15 (step @p173 :rule refl :args (@t180)) % 24.93/25.15 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t180 (not (and @t66 @t74))))) % 24.93/25.15 (step @p175 :rule bool-and-de-morgan :args (@t67 @t66 (and @t74))) % 24.93/25.15 (step @p176 :rule trans :premises (@p175 @p174)) % 24.93/25.15 (step @p177 :rule trans :premises (@p176 @p171)) % 24.93/25.15 (step @p178 :rule nary_cong :premises (@p177 @p170) :args ((or (not @t75) @t9))) % 24.93/25.15 (step @p179 :rule trans :premises (@p178 @p169)) % 24.93/25.15 (step @p180 :rule bool-impl-elim :args (@t75 @t9)) % 24.93/25.15 (step @p181 :rule trans :premises (@p180 @p179)) % 24.93/25.15 (step @p182 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 24.93/25.15 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t184 @t76))) % 24.93/25.15 (step @p184 :rule trans :premises (@p183 @p168)) % 24.93/25.15 (step @p185 :rule bool-impl-elim :args (@t16 @t76)) % 24.93/25.15 (step @p186 :rule trans :premises (@p185 @p184)) % 24.93/25.15 (step @p187 :rule cong :premises (@p186) :args (@t77)) % 24.93/25.15 (step @p188 :rule eq_resolve :premises (@p28 @p187)) % 24.93/25.15 (step @p189 :rule instantiate :premises (@p188) :args ((@list @t185 @t186))) % 24.93/25.15 (step @p190 :rule aci_norm :args ((= (or @t145 @t187) (or @t143 @t142 @t141 @t140 @t139 @t137 @t55)))) % 24.93/25.15 (step @p191 :rule aci_norm :args ((= (or (or @t139 @t137) @t55) @t187))) % 24.93/25.15 (step @p192 :rule refl :args (@t55)) % 24.93/25.15 (step @p193 :rule bool-and-de-morgan :args (@t51 @t56 true)) % 24.93/25.15 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t57) @t55))) % 24.93/25.15 (step @p195 :rule trans :premises (@p194 @p191)) % 24.93/25.15 (step @p196 :rule bool-impl-elim :args (@t57 @t55)) % 24.93/25.15 (step @p197 :rule trans :premises (@p196 @p195)) % 24.93/25.15 (step @p198 :rule nary_cong :premises (@p93 @p197) :args ((or @t147 @t58))) % 24.93/25.15 (step @p199 :rule trans :premises (@p198 @p190)) % 24.93/25.15 (step @p200 :rule bool-impl-elim :args (@t44 @t58)) % 24.93/25.15 (step @p201 :rule trans :premises (@p200 @p199)) % 24.93/25.15 (step @p202 :rule cong :premises (@p201) :args (@t59)) % 24.93/25.15 (step @p203 :rule eq_resolve :premises (@p23 @p202)) % 24.93/25.15 (step @p204 :rule instantiate :premises (@p203) :args ((@list tptp.sz0z00 @t189 tptp.sz0z00 @t188))) % 24.93/25.15 (step @p205 :rule aci_norm :args ((= (or @t182 @t18) (or @t143 @t142 @t18)))) % 24.93/25.15 (step @p206 :rule refl :args (@t18)) % 24.93/25.15 (step @p207 :rule nary_cong :premises (@p182 @p206) :args ((or @t184 @t18))) % 24.93/25.15 (step @p208 :rule trans :premises (@p207 @p205)) % 24.93/25.15 (step @p209 :rule bool-impl-elim :args (@t16 @t18)) % 24.93/25.15 (step @p210 :rule trans :premises (@p209 @p208)) % 24.93/25.15 (step @p211 :rule cong :premises (@p210) :args (@t19)) % 24.93/25.15 (step @p212 :rule eq_resolve :premises (@p11 @p211)) % 24.93/25.15 (step @p213 :rule instantiate :premises (@p212) :args ((@list @t162 @t162))) % 24.93/25.15 (step @p214 :rule and_elim :premises (@p42) :args (1)) % 24.93/25.15 (step @p215 :rule cong :premises (@p214 @p214) :args (@t102)) % 24.93/25.15 (step @p216 :rule refl :args (tptp.xC)) % 24.93/25.15 (step @p217 :rule cong :premises (@p216 @p215) :args (@t103)) % 24.93/25.15 (step @p218 :rule and_elim :premises (@p46) :args (1)) % 24.93/25.15 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 24.93/25.15 (step @p220 :rule cong :premises (@p219 @p123) :args (@t114)) % 24.93/25.15 (step @p221 :rule refl :args (tptp.xR)) % 24.93/25.15 (step @p222 :rule cong :premises (@p221 @p220) :args (@t115)) % 24.93/25.15 (step @p223 :rule and_elim :premises (@p52) :args (1)) % 24.93/25.15 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 24.93/25.15 (step @p225 :rule cong :premises (@p224) :args (@t116)) % 24.93/25.15 (step @p226 :rule and_elim :premises (@p52) :args (0)) % 24.93/25.15 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 24.93/25.15 (step @p228 :rule cnf_or_pos :args (@t193)) % 24.93/25.15 (step @p229 :rule factoring :premises (@p228)) % 24.93/25.15 (step @p230 :rule reordering :premises (@p229) :args ((or @t192 @t190 (not @t193)))) % 24.93/25.15 (step @p231 :rule chain_m_resolution :premises (@p230 @p227 @p213) :args (@t190 @t160 (@list @t191 @t193))) % 24.93/25.15 (step @p232 :rule instantiate :premises (@p99) :args ((@list tptp.sz0z00 @t165 tptp.sz0z00 @t165))) % 24.93/25.15 (step @p233 :rule aci_norm :args ((= (or @t182 @t194) (or @t143 @t142 @t180 @t179 @t65)))) % 24.93/25.15 (step @p234 :rule aci_norm :args ((= (or (or @t180 @t179) @t65) @t194))) % 24.93/25.15 (step @p235 :rule refl :args (@t65)) % 24.93/25.15 (step @p236 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 24.93/25.15 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or (not @t68) @t65))) % 24.93/25.15 (step @p238 :rule trans :premises (@p237 @p234)) % 24.93/25.15 (step @p239 :rule bool-impl-elim :args (@t68 @t65)) % 24.93/25.15 (step @p240 :rule trans :premises (@p239 @p238)) % 24.93/25.15 (step @p241 :rule nary_cong :premises (@p182 @p240) :args ((or @t184 @t69))) % 24.93/25.15 (step @p242 :rule trans :premises (@p241 @p233)) % 24.93/25.15 (step @p243 :rule bool-impl-elim :args (@t16 @t69)) % 24.93/25.15 (step @p244 :rule trans :premises (@p243 @p242)) % 24.93/25.15 (step @p245 :rule cong :premises (@p244) :args (@t70)) % 24.93/25.15 (step @p246 :rule eq_resolve :premises (@p26 @p245)) % 24.93/25.15 (step @p247 :rule instantiate :premises (@p246) :args ((@list @t164 @t163))) % 24.93/25.15 (step @p248 :rule bool-impl-elim :args (@t12 @t72)) % 24.93/25.15 (step @p249 :rule cong :premises (@p248) :args (@t73)) % 24.93/25.15 (step @p250 :rule eq_resolve :premises (@p27 @p249)) % 24.93/25.15 (step @p251 :rule instantiate :premises (@p250) :args ((@list @t98))) % 24.93/25.15 (step @p252 :rule cong :premises (@p145) :args (@t99)) % 24.93/25.15 (step @p253 :rule and_elim :premises (@p44) :args (0)) % 24.93/25.15 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 24.93/25.15 (step @p255 :rule cnf_or_pos :args (@t198)) % 24.93/25.15 (step @p256 :rule reordering :premises (@p255) :args ((or @t197 @t195 (not @t198)))) % 24.93/25.15 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p251) :args (@t195 @t160 (@list @t196 @t198))) % 24.93/25.15 (step @p258 :rule instantiate :premises (@p68) :args ((@list @t96))) % 24.93/25.15 (step @p259 :rule cong :premises (@p139) :args (@t97)) % 24.93/25.15 (step @p260 :rule and_elim :premises (@p43) :args (0)) % 24.93/25.15 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 24.93/25.15 (step @p262 :rule cnf_or_pos :args (@t202)) % 24.93/25.15 (step @p263 :rule reordering :premises (@p262) :args ((or @t201 @t199 (not @t202)))) % 24.93/25.15 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p258) :args (@t199 @t160 (@list @t200 @t202))) % 24.93/25.15 (step @p265 :rule cong :premises (@p150) :args (@t110)) % 24.93/25.15 (step @p266 :rule and_elim :premises (@p49) :args (0)) % 24.93/25.15 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 24.93/25.15 (step @p268 :rule cong :premises (@p144) :args (@t107)) % 24.93/25.15 (step @p269 :rule and_elim :premises (@p47) :args (0)) % 24.93/25.15 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 24.93/25.15 (step @p271 :rule cnf_or_pos :args (@t211)) % 24.93/25.15 (step @p272 :rule reordering :premises (@p271) :args ((or @t208 @t210 @t205 @t206 @t204 (not @t211)))) % 24.93/25.15 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p267 @p264 @p257 @p247) :args (@t204 @t212 (@list @t207 @t209 @t199 @t195 @t211))) % 24.93/25.15 (step @p274 :rule cnf_and_pos :args (@t204 1)) % 24.93/25.15 (step @p275 :rule reordering :premises (@p274) :args ((or @t203 (not @t204)))) % 24.93/25.15 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t203 @t161 (@list @t204))) % 24.93/25.15 (step @p277 :rule bool-impl-elim :args (@t12 @t52)) % 24.93/25.15 (step @p278 :rule cong :premises (@p277) :args (@t53)) % 24.93/25.15 (step @p279 :rule eq_resolve :premises (@p20 @p278)) % 24.93/25.15 (step @p280 :rule instantiate :premises (@p279) :args (@t213)) % 24.93/25.15 (step @p281 :rule cnf_or_pos :args (@t216)) % 24.93/25.15 (step @p282 :rule reordering :premises (@p281) :args ((or @t215 @t214 (not @t216)))) % 24.93/25.15 (step @p283 :rule chain_m_resolution :premises (@p282 @p9 @p280) :args (@t214 @t160 (@list @t13 @t216))) % 24.93/25.15 (step @p284 :rule cnf_or_pos :args (@t221)) % 24.93/25.15 (step @p285 :rule factoring :premises (@p284)) % 24.93/25.15 (step @p286 :rule reordering :premises (@p285) :args ((or @t215 @t170 @t220 @t219 @t218 (not @t221)))) % 24.93/25.15 (step @p287 :rule chain_m_resolution :premises (@p286 @p9 @p158 @p283 @p276 @p232) :args (@t218 @t212 (@list @t13 @t169 @t214 @t203 @t221))) % 24.93/25.15 (step @p288 :rule true_intro :premises (@p287)) % 24.93/25.15 (step @p289 :rule eq-symm :args (@t222 @t188)) % 24.93/25.15 (step @p290 :rule cong :premises (@p155 @p155) :args (@t123)) % 24.93/25.15 (step @p291 :rule cong :premises (@p155) :args (@t124)) % 24.93/25.15 (step @p292 :rule cong :premises (@p291 @p291) :args (@t125)) % 24.93/25.15 (step @p293 :rule cong :premises (@p292 @p290) :args (@t126)) % 24.93/25.15 (step @p294 :rule trans :premises (@p293 @p289)) % 24.93/25.15 (step @p295 :rule and_elim :premises (@p58) :args (2)) % 24.93/25.15 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 24.93/25.15 (step @p297 :rule symm :premises (@p296)) % 24.93/25.15 (step @p298 :rule instantiate :premises (@p116) :args (@t213)) % 24.93/25.15 (step @p299 :rule cnf_or_pos :args (@t227)) % 24.93/25.15 (step @p300 :rule reordering :premises (@p299) :args ((or @t215 @t226 (not @t227)))) % 24.93/25.15 (step @p301 :rule chain_m_resolution :premises (@p300 @p9 @p298) :args (@t226 @t160 (@list @t13 @t227))) % 24.93/25.15 (step @p302 :rule cnf_and_pos :args (@t226 2)) % 24.93/25.15 (step @p303 :rule reordering :premises (@p302) :args ((or @t223 @t228))) % 24.93/25.15 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t223 @t161 @t229)) % 24.93/25.15 (step @p305 :rule cong :premises (@p304 @p297) :args ((tptp.sdtlseqdt0 tptp.sz0z00 @t222))) % 24.93/25.15 (step @p306 :rule refl :args (tptp.sz0z00)) % 24.93/25.15 (step @p307 :rule cong :premises (@p306 @p296) :args (@t230)) % 24.93/25.15 (step @p308 :rule trans :premises (@p307 @p305 @p288)) % 24.93/25.15 (step @p309 :rule true_elim :premises (@p308)) % 24.93/25.15 (step @p310 :rule instantiate :premises (@p212) :args ((@list @t165 @t165))) % 24.93/25.15 (step @p311 :rule cnf_or_pos :args (@t232)) % 24.93/25.15 (step @p312 :rule factoring :premises (@p311)) % 24.93/25.15 (step @p313 :rule reordering :premises (@p312) :args ((or @t170 @t231 (not @t232)))) % 24.93/25.15 (step @p314 :rule chain_m_resolution :premises (@p313 @p158 @p310) :args (@t231 @t160 (@list @t169 @t232))) % 24.93/25.15 (step @p315 :rule instantiate :premises (@p250) :args (@t233)) % 24.93/25.15 (step @p316 :rule cnf_or_pos :args (@t235)) % 24.93/25.15 (step @p317 :rule reordering :premises (@p316) :args ((or @t192 @t234 (not @t235)))) % 24.93/25.15 (step @p318 :rule chain_m_resolution :premises (@p317 @p227 @p315) :args (@t234 @t160 (@list @t191 @t235))) % 24.93/25.15 (step @p319 :rule cnf_or_pos :args (@t242)) % 24.93/25.15 (step @p320 :rule factoring :premises (@p319)) % 24.93/25.15 (step @p321 :rule reordering :premises (@p320) :args ((or @t215 @t239 @t240 @t238 @t241 @t237 (not @t242)))) % 24.93/25.15 (step @p322 :rule chain_m_resolution :premises (@p321 @p9 @p318 @p314 @p309 @p231 @p204) :args (@t237 (@list false false false false false false) (@list @t13 @t234 @t231 @t230 @t190 @t242))) % 24.93/25.15 (step @p323 :rule instantiate :premises (@p116) :args (@t243)) % 24.93/25.15 (step @p324 :rule cong :premises (@p224 @p155) :args (@t120)) % 24.93/25.15 (step @p325 :rule refl :args (tptp.xN)) % 24.93/25.15 (step @p326 :rule cong :premises (@p325 @p324) :args (@t121)) % 24.93/25.15 (step @p327 :rule and_elim :premises (@p55) :args (1)) % 24.93/25.15 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 24.93/25.15 (step @p329 :rule cong :premises (@p328) :args (@t122)) % 24.93/25.15 (step @p330 :rule and_elim :premises (@p55) :args (0)) % 24.93/25.15 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 24.93/25.15 (step @p332 :rule cnf_or_pos :args (@t248)) % 24.93/25.15 (step @p333 :rule reordering :premises (@p332) :args ((or @t247 @t245 (not @t248)))) % 24.93/25.15 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p323) :args (@t245 @t160 (@list @t246 @t248))) % 24.93/25.15 (step @p335 :rule cnf_and_pos :args (@t245 4)) % 24.93/25.15 (step @p336 :rule reordering :premises (@p335) :args ((or @t244 (not @t245)))) % 24.93/25.15 (step @p337 :rule chain_m_resolution :premises (@p336 @p334) :args (@t244 @t161 (@list @t245))) % 24.93/25.15 (step @p338 :rule cnf_and_pos :args (@t226 0)) % 24.93/25.15 (step @p339 :rule reordering :premises (@p338) :args ((or @t225 @t228))) % 24.93/25.15 (step @p340 :rule chain_m_resolution :premises (@p339 @p301) :args (@t225 @t161 @t229)) % 24.93/25.15 (step @p341 :rule cong :premises (@p224 @p224) :args (@t129)) % 24.93/25.15 (step @p342 :rule cong :premises (@p341 @p290) :args (@t133)) % 24.93/25.15 (step @p343 :rule cong :premises (@p328 @p328) :args (@t134)) % 24.93/25.15 (step @p344 :rule cong :premises (@p343 @p342) :args (@t135)) % 24.93/25.15 (step @p345 :rule cong :premises (@p344) :args (@t136)) % 24.93/25.15 (step @p346 :rule eq_resolve :premises (@p64 @p345)) % 24.93/25.15 (step @p347 :rule refl :args (@t249)) % 24.93/25.15 (step @p348 :rule refl :args (@t251)) % 24.93/25.15 (step @p349 :rule refl :args (@t252)) % 24.93/25.15 (step @p350 :rule refl :args (@t253)) % 24.93/25.15 (step @p351 :rule refl :args (@t254)) % 24.93/25.15 (step @p352 :rule bool-double-not-elim :args (@t256)) % 24.93/25.15 (step @p353 :rule nary_cong :premises (@p352 @p351 @p350 @p349 @p348 @p347) :args ((or (not @t257) @t254 @t253 @t252 @t251 @t249))) % 24.93/25.15 (assume-push @p550 @t237) % 24.93/25.15 (assume-push @p551 @t225) % 24.93/25.15 (assume-push @p552 @t223) % 24.93/25.15 (assume-push @p553 @t244) % 24.93/25.15 (assume-push @p554 @t250) % 24.93/25.15 (assume-push @p555 @t257) % 24.93/25.15 (step @p360 :rule evaluate :args ((= false true))) % 24.93/25.15 (step @p361 :rule true_intro :premises (@p322)) % 24.93/25.15 (step @p362 :rule refl :args (@t236)) % 24.93/25.15 (step @p363 :rule symm :premises (@p304)) % 24.93/25.15 (step @p364 :rule trans :premises (@p363 @p340)) % 24.93/25.15 (step @p365 :rule symm :premises (@p337)) % 24.93/25.15 (step @p366 :rule refl :args (@t185)) % 24.93/25.15 (step @p367 :rule cong :premises (@p366 @p554) :args (@t255)) % 24.93/25.15 (step @p368 :rule trans :premises (@p367 @p365 @p304)) % 24.93/25.15 (step @p369 :rule trans :premises (@p368 @p364)) % 24.93/25.15 (step @p370 :rule cong :premises (@p369 @p362) :args (@t256)) % 24.93/25.15 (step @p371 :rule false_intro :premises (@p346)) % 24.93/25.15 (step @p372 :rule symm :premises (@p371)) % 24.93/25.15 (step @p373 :rule trans :premises (@p372 @p370 @p361)) % 24.93/25.15 (step @p374 false :rule eq_resolve :premises (@p373 @p360)) % 24.93/25.15 (step-pop @p556 :rule scope :premises (@p374)) % 24.93/25.15 (step-pop @p557 :rule scope :premises (@p556)) % 24.93/25.15 (step-pop @p558 :rule scope :premises (@p557)) % 24.93/25.15 (step-pop @p559 :rule scope :premises (@p558)) % 24.93/25.15 (step-pop @p560 :rule scope :premises (@p559)) % 24.93/25.15 (step-pop @p561 :rule scope :premises (@p560)) % 24.93/25.15 (step @p375 :rule process_scope :premises (@p561) :args (false)) % 24.93/25.15 (assume-push @p562 @t257) % 24.93/25.15 (assume-push @p563 @t225) % 24.93/25.15 (assume-push @p564 @t223) % 24.93/25.15 (assume-push @p565 @t244) % 24.93/25.15 (assume-push @p566 @t250) % 24.93/25.15 (assume-push @p567 @t237) % 24.93/25.15 (step @p388 :rule and_intro :premises (@p322 @p340 @p304 @p337 @p566 @p346)) % 24.93/25.15 (step-pop @p568 :rule scope :premises (@p388)) % 24.93/25.15 (step-pop @p569 :rule scope :premises (@p568)) % 24.93/25.15 (step-pop @p570 :rule scope :premises (@p569)) % 24.93/25.15 (step-pop @p571 :rule scope :premises (@p570)) % 24.93/25.15 (step-pop @p572 :rule scope :premises (@p571)) % 24.93/25.15 (step-pop @p573 :rule scope :premises (@p572)) % 24.93/25.15 (step @p389 :rule process_scope :premises (@p573) :args (@t258)) % 24.93/25.15 (step @p396 :rule implies_elim :premises (@p389)) % 24.93/25.15 (step @p397 :rule resolution :premises (@p396 @p375) :args (true @t258)) % 24.93/25.15 (step @p398 :rule not_and :premises (@p397)) % 24.93/25.15 (step @p399 :rule eq_resolve :premises (@p398 @p353)) % 24.93/25.15 (step @p400 :rule chain_m_resolution :premises (@p399 @p346 @p340 @p304 @p337 @p322) :args (@t251 (@list true false false false false) (@list @t256 @t225 @t223 @t244 @t237))) % 24.93/25.15 (step @p401 :rule aci_norm :args ((= (or @t182 @t259) (or @t143 @t142 @t259)))) % 24.93/25.15 (step @p402 :rule refl :args (@t259)) % 24.93/25.15 (step @p403 :rule nary_cong :premises (@p182 @p402) :args ((or @t184 @t259))) % 24.93/25.15 (step @p404 :rule trans :premises (@p403 @p401)) % 24.93/25.15 (step @p405 :rule bool-impl-elim :args (@t16 @t259)) % 24.93/25.15 (step @p406 :rule trans :premises (@p405 @p404)) % 24.93/25.15 (step @p407 :rule cong :premises (@p406) :args ((forall @t11 (=> @t16 @t259)))) % 24.93/25.15 (step @p408 :rule eq-symm :args (@t48 @t17)) % 24.93/25.15 (step @p409 :rule refl :args (@t16)) % 24.93/25.15 (step @p410 :rule cong :premises (@p409 @p408) :args (@t49)) % 24.93/25.15 (step @p411 :rule cong :premises (@p410) :args (@t50)) % 24.93/25.15 (step @p412 :rule trans :premises (@p411 @p407)) % 24.93/25.15 (step @p413 :rule eq_resolve :premises (@p18 @p412)) % 24.93/25.15 (step @p414 :rule instantiate :premises (@p413) :args ((@list @t185 @t185))) % 24.93/25.15 (step @p415 :rule cnf_or_pos :args (@t261)) % 24.93/25.15 (step @p416 :rule factoring :premises (@p415)) % 24.93/25.15 (step @p417 :rule reordering :premises (@p416) :args ((or @t247 @t260 (not @t261)))) % 24.93/25.15 (step @p418 :rule chain_m_resolution :premises (@p417 @p331 @p414) :args (@t260 @t160 (@list @t246 @t261))) % 24.93/25.15 (step @p419 :rule instantiate :premises (@p137) :args (@t243)) % 24.93/25.15 (step @p420 :rule cnf_or_pos :args (@t263)) % 24.93/25.15 (step @p421 :rule reordering :premises (@p420) :args ((or @t247 @t262 (not @t263)))) % 24.93/25.15 (step @p422 :rule chain_m_resolution :premises (@p421 @p331 @p419) :args (@t262 @t160 (@list @t246 @t263))) % 24.93/25.15 (step @p423 :rule instantiate :premises (@p99) :args ((@list @t162 @t162 tptp.sz0z00 @t165))) % 24.93/25.15 (step @p424 :rule instantiate :premises (@p279) :args (@t233)) % 24.93/25.15 (step @p425 :rule cnf_or_pos :args (@t265)) % 24.93/25.15 (step @p426 :rule reordering :premises (@p425) :args ((or @t192 @t264 (not @t265)))) % 24.93/25.15 (step @p427 :rule chain_m_resolution :premises (@p426 @p227 @p424) :args (@t264 @t160 (@list @t191 @t265))) % 24.93/25.15 (step @p428 :rule cnf_or_pos :args (@t269)) % 24.93/25.15 (step @p429 :rule factoring :premises (@p428)) % 24.93/25.15 (step @p430 :rule reordering :premises (@p429) :args ((or @t215 @t192 @t170 @t220 @t219 @t268 @t267 (not @t269)))) % 24.93/25.15 (step @p431 :rule chain_m_resolution :premises (@p430 @p9 @p227 @p158 @p283 @p276 @p427 @p423) :args (@t267 (@list false false false false false false false) (@list @t13 @t191 @t169 @t214 @t203 @t264 @t269))) % 24.93/25.15 (step @p432 :rule true_intro :premises (@p431)) % 24.93/25.15 (step @p366 :rule refl :args (@t185)) % 24.93/25.15 (step @p433 :rule instantiate :premises (@p116) :args (@t233)) % 24.93/25.15 (step @p434 :rule cnf_or_pos :args (@t273)) % 24.93/25.15 (step @p435 :rule reordering :premises (@p434) :args ((or @t192 @t272 (not @t273)))) % 24.93/25.15 (step @p436 :rule chain_m_resolution :premises (@p435 @p227 @p433) :args (@t272 @t160 (@list @t191 @t273))) % 24.93/25.15 (step @p437 :rule cnf_and_pos :args (@t272 2)) % 24.93/25.15 (step @p438 :rule reordering :premises (@p437) :args ((or @t271 (not @t272)))) % 24.93/25.15 (step @p439 :rule chain_m_resolution :premises (@p438 @p436) :args (@t271 @t161 (@list @t272))) % 24.93/25.15 (step @p440 :rule cong :premises (@p439 @p366) :args (@t274)) % 24.93/25.15 (step @p441 :rule trans :premises (@p440 @p432)) % 24.93/25.15 (step @p442 :rule true_elim :premises (@p441)) % 24.93/25.15 (step @p443 :rule cnf_or_pos :args (@t280)) % 24.93/25.15 (step @p444 :rule reordering :premises (@p443) :args ((or @t247 @t278 @t279 @t277 @t275 @t250 (not @t280)))) % 24.93/25.15 (step @p445 :rule chain_m_resolution :premises (@p444 @p331 @p442 @p422 @p418 @p400 @p189) :args (@t277 (@list false false false false true false) (@list @t246 @t274 @t262 @t260 @t250 @t280))) % 24.93/25.15 (step @p446 :rule cong :premises (@p291 @p224) :args (@t128)) % 24.93/25.15 (step @p447 :rule cong :premises (@p328) :args (@t127)) % 24.93/25.15 (step @p448 :rule cong :premises (@p447 @p446) :args ((= @t127 @t128))) % 24.93/25.15 (step @p449 :rule eq-symm :args (@t128 @t127)) % 24.93/25.15 (step @p450 :rule trans :premises (@p449 @p448)) % 24.93/25.15 (step @p451 :rule and_elim :premises (@p58) :args (1)) % 24.93/25.15 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 24.93/25.15 (step @p453 :rule refl :args (@t283)) % 24.93/25.15 (step @p454 :rule refl :args (@t284)) % 24.93/25.15 (step @p455 :rule bool-double-not-elim :args (@t276)) % 24.93/25.15 (step @p456 :rule refl :args (@t286)) % 24.93/25.15 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454 @p453) :args ((or @t286 (not @t277) @t284 @t283))) % 24.93/25.15 (assume-push @p574 @t285) % 24.93/25.15 (assume-push @p575 @t277) % 24.93/25.15 (assume-push @p576 @t174) % 24.93/25.15 (assume-push @p577 @t174) % 24.93/25.15 (assume-push @p578 @t277) % 24.93/25.15 (assume-push @p579 @t285) % 24.93/25.15 (step @p464 :rule false_intro :premises (@p575)) % 24.93/25.15 (step @p465 :rule symm :premises (@p452)) % 24.93/25.15 (step @p466 :rule symm :premises (@p167)) % 24.93/25.15 (step @p467 :rule cong :premises (@p466 @p465) :args (@t282)) % 24.93/25.15 (step @p468 :rule trans :premises (@p467 @p464)) % 24.93/25.15 (step @p469 :rule false_elim :premises (@p468)) % 24.93/25.15 (step-pop @p580 :rule scope :premises (@p469)) % 24.93/25.15 (step-pop @p581 :rule scope :premises (@p580)) % 24.93/25.15 (step-pop @p582 :rule scope :premises (@p581)) % 24.93/25.15 (step @p470 :rule process_scope :premises (@p582) :args (@t283)) % 24.93/25.15 (step @p474 :rule and_intro :premises (@p167 @p575 @p452)) % 24.93/25.15 (step @p475 :rule modus_ponens :premises (@p474 @p470)) % 24.93/25.15 (step-pop @p583 :rule scope :premises (@p475)) % 24.93/25.15 (step-pop @p584 :rule scope :premises (@p583)) % 24.93/25.15 (step-pop @p585 :rule scope :premises (@p584)) % 24.93/25.15 (step @p476 :rule process_scope :premises (@p585) :args (@t283)) % 24.93/25.15 (step @p480 :rule implies_elim :premises (@p476)) % 24.93/25.15 (step @p481 :rule cnf_and_neg :args (@t287)) % 24.93/25.15 (step @p482 :rule resolution :premises (@p481 @p480) :args (true @t287)) % 24.93/25.15 (step @p483 :rule eq_resolve :premises (@p482 @p457)) % 24.93/25.15 (step @p484 :rule chain_m_resolution :premises (@p483 @p452 @p445 @p167) :args (@t283 (@list false true false) (@list @t285 @t276 @t174))) % 24.93/25.15 (step @p485 :rule instantiate :premises (@p279) :args (@t167)) % 24.93/25.15 (step @p486 :rule cnf_or_pos :args (@t289)) % 24.93/25.15 (step @p487 :rule reordering :premises (@p486) :args ((or @t176 @t288 (not @t289)))) % 24.93/25.15 (step @p488 :rule chain_m_resolution :premises (@p487 @p161 @p485) :args (@t288 @t160 (@list @t168 @t289))) % 24.93/25.15 (step @p489 :rule cnf_or_pos :args (@t293)) % 24.93/25.15 (step @p490 :rule factoring :premises (@p489)) % 24.93/25.15 (step @p491 :rule reordering :premises (@p490) :args ((or @t215 @t192 @t220 @t291 @t176 @t292 @t282 (not @t293)))) % 24.93/25.15 (step @p492 :rule chain_m_resolution :premises (@p491 @p9 @p227 @p283 @p161 @p488 @p484 @p133) :args (@t291 @t294 (@list @t13 @t191 @t214 @t168 @t288 @t282 @t293))) % 24.93/25.15 (step @p493 :rule refl :args (@t296)) % 24.93/25.15 (step @p494 :rule refl :args (@t297)) % 24.93/25.15 (step @p495 :rule bool-double-not-elim :args (@t290)) % 24.93/25.15 (step @p496 :rule nary_cong :premises (@p495 @p494 @p493) :args ((or (not @t291) @t297 @t296))) % 24.93/25.15 (assume-push @p586 @t291) % 24.93/25.15 (assume-push @p587 @t155) % 24.93/25.15 (assume-push @p588 @t155) % 24.93/25.15 (assume-push @p589 @t291) % 24.93/25.15 (step @p501 :rule false_intro :premises (@p586)) % 24.93/25.15 (step @p502 :rule refl :args (@t162)) % 24.93/25.15 (step @p503 :rule symm :premises (@p132)) % 24.93/25.15 (step @p504 :rule cong :premises (@p503 @p502) :args (@t295)) % 24.93/25.15 (step @p505 :rule trans :premises (@p504 @p501)) % 24.93/25.15 (step @p506 :rule false_elim :premises (@p505)) % 24.93/25.15 (step-pop @p590 :rule scope :premises (@p506)) % 24.93/25.15 (step-pop @p591 :rule scope :premises (@p590)) % 24.93/25.15 (step @p507 :rule process_scope :premises (@p591) :args (@t296)) % 24.93/25.15 (step @p510 :rule and_intro :premises (@p132 @p586)) % 24.93/25.15 (step @p511 :rule modus_ponens :premises (@p510 @p507)) % 24.93/25.15 (step-pop @p592 :rule scope :premises (@p511)) % 24.93/25.15 (step-pop @p593 :rule scope :premises (@p592)) % 24.93/25.15 (step @p512 :rule process_scope :premises (@p593) :args (@t296)) % 24.93/25.15 (step @p515 :rule implies_elim :premises (@p512)) % 24.93/25.15 (step @p516 :rule cnf_and_neg :args (@t298)) % 24.93/25.15 (step @p517 :rule resolution :premises (@p516 @p515) :args (true @t298)) % 24.93/25.15 (step @p518 :rule eq_resolve :premises (@p517 @p496)) % 24.93/25.15 (step @p519 :rule chain_m_resolution :premises (@p518 @p492 @p132) :args (@t296 @t299 (@list @t290 @t155))) % 24.93/25.15 (step @p520 :rule instantiate :premises (@p279) :args (@t152)) % 24.93/25.15 (step @p521 :rule cnf_or_pos :args (@t301)) % 24.93/25.15 (step @p522 :rule reordering :premises (@p521) :args ((or @t158 @t300 (not @t301)))) % 24.93/25.15 (step @p523 :rule chain_m_resolution :premises (@p522 @p126 @p520) :args (@t300 @t160 (@list @t157 @t301))) % 24.93/25.15 (step @p524 :rule instantiate :premises (@p250) :args ((@list @t100))) % 24.93/25.15 (step @p525 :rule cong :premises (@p118) :args (@t101)) % 24.93/25.15 (step @p526 :rule and_elim :premises (@p45) :args (0)) % 24.93/25.15 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 24.93/25.15 (step @p528 :rule cnf_or_pos :args (@t305)) % 24.93/25.15 (step @p529 :rule reordering :premises (@p528) :args ((or @t304 @t302 (not @t305)))) % 24.93/25.15 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p524) :args (@t302 @t160 (@list @t303 @t305))) % 24.93/25.15 (step @p531 :rule cong :premises (@p219) :args (@t104)) % 24.93/25.15 (step @p532 :rule and_elim :premises (@p46) :args (0)) % 24.93/25.15 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 24.93/25.15 (step @p534 :rule cnf_or_pos :args (@t312)) % 24.93/25.15 (step @p535 :rule factoring :premises (@p534)) % 24.93/25.15 (step @p536 :rule reordering :premises (@p535) :args ((or @t215 @t311 @t158 @t309 @t307 @t306 @t295 (not @t312)))) % 24.93/25.15 (step @p537 :rule chain_m_resolution :premises (@p536 @p9 @p533 @p126 @p530 @p523 @p519 @p100) :args (@t309 @t294 (@list @t13 @t310 @t157 @t302 @t300 @t295 @t312))) % 24.93/25.15 (step @p538 :rule cong :premises (@p214) :args (@t95)) % 24.93/25.15 (step @p539 :rule and_elim :premises (@p42) :args (0)) % 24.93/25.15 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 24.93/25.15 (step @p541 :rule cnf_or_pos :args (@t315)) % 24.93/25.15 (step @p542 :rule reordering :premises (@p541) :args ((or @t314 @t308 @t316))) % 24.93/25.15 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p537) :args (@t316 (@list false true) (@list @t313 @t308))) % 24.93/25.15 (assume-push @p594 @t317) % 24.93/25.15 (step @p545 :rule instantiate :premises (@p68) :args ((@list @t94))) % 24.93/25.15 (step-pop @p595 :rule scope :premises (@p545)) % 24.93/25.15 (step @p546 :rule process_scope :premises (@p595) :args (@t315)) % 24.93/25.15 (step @p548 :rule implies_elim :premises (@p546)) % 24.93/25.15 (step @p549 false :rule chain_m_resolution :premises (@p548 @p543 @p68) :args (false @t299 (@list @t315 @t317))) % 24.93/25.15 ) % 24.93/25.15 % SZS output end Proof % 24.93/25.16 % cvc5 exiting %------------------------------------------------------------------------------