%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG058+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 : n029.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 08:45:31 AM UTC 2026 % Result : Theorem 163.26s 163.51s % Output : Proof 163.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG058+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 14:04:32 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 163.26/163.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 163.26/163.51 --- Run --no-e-matching --full-saturate-quant at 6... % 163.26/163.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 163.26/163.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 163.26/163.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 163.26/163.51 --- Run --trigger-sel=max --full-saturate-quant at 15... % 163.26/163.51 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 163.26/163.51 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 163.26/163.51 --- Run --prenex-quant=none --full-saturate-quant at 30... % 163.26/163.51 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 163.26/163.51 % SZS status Theorem % 163.26/163.51 % SZS output start Proof % 163.26/163.51 ( % 163.26/163.51 (declare-sort $$unsorted 0) % 163.26/163.51 (declare-const tptp.xN $$unsorted) % 163.26/163.51 (declare-const tptp.xS $$unsorted) % 163.26/163.51 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 163.26/163.51 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.sz00 $$unsorted) % 163.26/163.51 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 163.26/163.51 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xp $$unsorted) % 163.26/163.51 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xG $$unsorted) % 163.26/163.51 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xF $$unsorted) % 163.26/163.51 (declare-const tptp.sz0z00 $$unsorted) % 163.26/163.51 (declare-const tptp.xC $$unsorted) % 163.26/163.51 (declare-const tptp.xR $$unsorted) % 163.26/163.51 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 163.26/163.51 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xs $$unsorted) % 163.26/163.51 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xq $$unsorted) % 163.26/163.51 (declare-const tptp.xP $$unsorted) % 163.26/163.51 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 163.26/163.51 (declare-const tptp.xA $$unsorted) % 163.26/163.51 (declare-const tptp.xB $$unsorted) % 163.26/163.51 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 163.26/163.51 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 163.26/163.51 (declare-const tptp.xt $$unsorted) % 163.26/163.51 (declare-const tptp.xD $$unsorted) % 163.26/163.51 (declare-const tptp.xE $$unsorted) % 163.26/163.51 (declare-const tptp.xH $$unsorted) % 163.26/163.51 (define @t1 () (@var "W0" $$unsorted)) % 163.26/163.51 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 163.26/163.51 (define @t3 () (@list @t1)) % 163.26/163.51 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 163.26/163.51 (define @t5 () (@var "W1" $$unsorted)) % 163.26/163.51 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 163.26/163.51 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 163.26/163.51 (define @t8 () (@list @t5)) % 163.26/163.51 (define @t9 () (= @t1 @t5)) % 163.26/163.51 (define @t10 () (and @t2 @t7)) % 163.26/163.51 (define @t11 () (@list @t1 @t5)) % 163.26/163.51 (define @t12 () (tptp.aScalar0 @t1)) % 163.26/163.51 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 163.26/163.51 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 163.26/163.51 (define @t15 () (tptp.aScalar0 @t5)) % 163.26/163.51 (define @t16 () (and @t12 @t15)) % 163.26/163.51 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 163.26/163.51 (define @t18 () (tptp.aScalar0 @t17)) % 163.26/163.51 (define @t19 () (forall @t11 (=> @t16 @t18))) % 163.26/163.51 (define @t20 () (tptp.smndt0 @t1)) % 163.26/163.51 (define @t21 () (tptp.aScalar0 @t20)) % 163.26/163.51 (define @t22 () (forall @t3 (=> @t12 @t21))) % 163.26/163.51 (define @t23 () (tptp.smndt0 tptp.sz0z00)) % 163.26/163.51 (define @t24 () (tptp.smndt0 @t20)) % 163.26/163.51 (define @t25 () (tptp.sdtpldt0 @t20 @t1)) % 163.26/163.51 (define @t26 () (tptp.sdtpldt0 @t1 @t20)) % 163.26/163.51 (define @t27 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 163.26/163.51 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 163.26/163.51 (define @t29 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 163.26/163.51 (define @t30 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 163.26/163.51 (define @t31 () (and (= @t30 @t1) (= @t29 @t1) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 @t1) (= @t23 tptp.sz0z00))) % 163.26/163.51 (define @t32 () (=> @t12 @t31)) % 163.26/163.51 (define @t33 () (forall @t3 @t32)) % 163.26/163.51 (define @t34 () (@var "W2" $$unsorted)) % 163.26/163.51 (define @t35 () (tptp.sdtasdt0 @t5 @t34)) % 163.26/163.51 (define @t36 () (tptp.sdtpldt0 @t5 @t34)) % 163.26/163.51 (define @t37 () (tptp.aScalar0 @t34)) % 163.26/163.51 (define @t38 () (and @t12 @t15 @t37)) % 163.26/163.51 (define @t39 () (@list @t1 @t5 @t34)) % 163.26/163.51 (define @t40 () (tptp.sdtasdt0 @t1 @t34)) % 163.26/163.51 (define @t41 () (@var "W3" $$unsorted)) % 163.26/163.51 (define @t42 () (tptp.sdtasdt0 @t5 @t41)) % 163.26/163.51 (define @t43 () (tptp.aScalar0 @t41)) % 163.26/163.51 (define @t44 () (and @t12 @t15 @t37 @t43)) % 163.26/163.51 (define @t45 () (@list @t1 @t5 @t34 @t41)) % 163.26/163.51 (define @t46 () (tptp.smndt0 @t17)) % 163.26/163.51 (define @t47 () (tptp.sdtasdt0 @t20 @t5)) % 163.26/163.51 (define @t48 () (tptp.smndt0 @t5)) % 163.26/163.51 (define @t49 () (tptp.sdtasdt0 @t1 @t48)) % 163.26/163.51 (define @t50 () (and (= @t49 @t46) (= @t47 @t46))) % 163.26/163.51 (define @t51 () (=> @t16 @t50)) % 163.26/163.51 (define @t52 () (forall @t11 @t51)) % 163.26/163.51 (define @t53 () (tptp.sdtasdt0 @t20 @t48)) % 163.26/163.51 (define @t54 () (=> @t16 (= @t53 @t17))) % 163.26/163.51 (define @t55 () (forall @t11 @t54)) % 163.26/163.51 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 163.26/163.51 (define @t57 () (tptp.sdtlseqdt0 @t1 @t1)) % 163.26/163.51 (define @t58 () (forall @t3 (=> @t12 @t57))) % 163.26/163.51 (define @t59 () (tptp.sdtlseqdt0 @t5 @t1)) % 163.26/163.51 (define @t60 () (and @t56 @t59)) % 163.26/163.51 (define @t61 () (=> @t60 @t9)) % 163.26/163.51 (define @t62 () (forall @t11 (=> @t16 @t61))) % 163.26/163.51 (define @t63 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t34) (tptp.sdtpldt0 @t5 @t41))) % 163.26/163.51 (define @t64 () (tptp.sdtlseqdt0 @t34 @t41)) % 163.26/163.51 (define @t65 () (and @t56 @t64)) % 163.26/163.51 (define @t66 () (=> @t65 @t63)) % 163.26/163.51 (define @t67 () (forall @t45 (=> @t44 @t66))) % 163.26/163.51 (define @t68 () (tptp.sdtlseqdt0 @t40 @t42)) % 163.26/163.51 (define @t69 () (tptp.sdtlseqdt0 tptp.sz0z00 @t34)) % 163.26/163.51 (define @t70 () (and @t56 @t69 @t64)) % 163.26/163.51 (define @t71 () (=> @t70 @t68)) % 163.26/163.51 (define @t72 () (forall @t45 (=> @t44 @t71))) % 163.26/163.51 (define @t73 () (or @t56 @t59)) % 163.26/163.51 (define @t74 () (forall @t11 (=> @t16 @t73))) % 163.26/163.51 (define @t75 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17))) % 163.26/163.51 (define @t76 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 163.26/163.51 (define @t77 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 163.26/163.51 (define @t78 () (and @t77 @t76)) % 163.26/163.51 (define @t79 () (=> @t78 @t75)) % 163.26/163.51 (define @t80 () (forall @t11 (=> @t16 @t79))) % 163.26/163.51 (define @t81 () (tptp.sdtasdt0 @t1 @t1)) % 163.26/163.51 (define @t82 () (tptp.sdtlseqdt0 tptp.sz0z00 @t81)) % 163.26/163.51 (define @t83 () (forall @t3 (=> @t12 @t82))) % 163.26/163.51 (define @t84 () (tptp.aVector0 @t1)) % 163.26/163.51 (define @t85 () (tptp.aDimensionOf0 @t1)) % 163.26/163.51 (define @t86 () (tptp.aDimensionOf0 @t5)) % 163.26/163.51 (define @t87 () (tptp.aVector0 @t5)) % 163.26/163.51 (define @t88 () (tptp.sziznziztdt0 @t1)) % 163.26/163.51 (define @t89 () (tptp.sziznziztdt0 @t5)) % 163.26/163.51 (define @t90 () (= @t86 tptp.sz00)) % 163.26/163.51 (define @t91 () (= @t85 @t86)) % 163.26/163.51 (define @t92 () (and @t91 (not @t90))) % 163.26/163.51 (define @t93 () (and @t84 @t87)) % 163.26/163.51 (define @t94 () (tptp.sdtasasdt0 @t1 @t5)) % 163.26/163.51 (define @t95 () (tptp.sdtasasdt0 @t1 @t1)) % 163.26/163.51 (define @t96 () (tptp.sdtlseqdt0 tptp.sz0z00 @t95)) % 163.26/163.51 (define @t97 () (forall @t3 (=> @t84 @t96))) % 163.26/163.51 (define @t98 () (tptp.aDimensionOf0 tptp.xs)) % 163.26/163.51 (define @t99 () (tptp.aDimensionOf0 tptp.xt)) % 163.26/163.51 (define @t100 () (tptp.sziznziztdt0 tptp.xs)) % 163.26/163.51 (define @t101 () (tptp.aVector0 tptp.xp)) % 163.26/163.51 (define @t102 () (tptp.sziznziztdt0 tptp.xt)) % 163.26/163.51 (define @t103 () (tptp.aVector0 tptp.xq)) % 163.26/163.51 (define @t104 () (tptp.sdtlbdtrb0 tptp.xs @t98)) % 163.26/163.51 (define @t105 () (tptp.aScalar0 tptp.xA)) % 163.26/163.51 (define @t106 () (tptp.sdtlbdtrb0 tptp.xt @t99)) % 163.26/163.51 (define @t107 () (tptp.aScalar0 tptp.xB)) % 163.26/163.51 (define @t108 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 163.26/163.51 (define @t109 () (= tptp.xC @t108)) % 163.26/163.51 (define @t110 () (tptp.aScalar0 tptp.xC)) % 163.26/163.51 (define @t111 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 163.26/163.51 (define @t112 () (= tptp.xD @t111)) % 163.26/163.51 (define @t113 () (tptp.aScalar0 tptp.xD)) % 163.26/163.51 (define @t114 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 163.26/163.51 (define @t115 () (= tptp.xE @t114)) % 163.26/163.51 (define @t116 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 163.26/163.51 (define @t117 () (= tptp.xF @t116)) % 163.26/163.51 (define @t118 () (tptp.aScalar0 tptp.xF)) % 163.26/163.51 (define @t119 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 163.26/163.51 (define @t120 () (= tptp.xG @t119)) % 163.26/163.51 (define @t121 () (tptp.aScalar0 tptp.xG)) % 163.26/163.51 (define @t122 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 163.26/163.51 (define @t123 () (= tptp.xH @t122)) % 163.26/163.51 (define @t124 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 163.26/163.51 (define @t125 () (= tptp.xR @t124)) % 163.26/163.51 (define @t126 () (tptp.aScalar0 tptp.xR)) % 163.26/163.51 (define @t127 () (tptp.sdtasdt0 tptp.xE tptp.xH)) % 163.26/163.51 (define @t128 () (= tptp.xP @t127)) % 163.26/163.51 (define @t129 () (tptp.aScalar0 tptp.xP)) % 163.26/163.51 (define @t130 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 163.26/163.51 (define @t131 () (= tptp.xS @t130)) % 163.26/163.51 (define @t132 () (tptp.aScalar0 tptp.xS)) % 163.26/163.51 (define @t133 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 163.26/163.51 (define @t134 () (= tptp.xN @t133)) % 163.26/163.51 (define @t135 () (tptp.aScalar0 tptp.xN)) % 163.26/163.51 (define @t136 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 163.26/163.51 (define @t137 () (tptp.sdtlseqdt0 @t136 tptp.xN)) % 163.26/163.51 (define @t138 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 163.26/163.51 (define @t139 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 163.26/163.51 (define @t140 () (tptp.sdtpldt0 @t139 @t138)) % 163.26/163.51 (define @t141 () (tptp.sdtpldt0 @t136 @t136)) % 163.26/163.51 (define @t142 () (tptp.sdtlseqdt0 @t141 @t140)) % 163.26/163.51 (define @t143 () (not @t142)) % 163.26/163.51 (define @t144 () (= tptp.sz0z00 @t23)) % 163.26/163.51 (define @t145 () (and (= @t1 @t30) (= @t1 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= @t1 @t24) @t144)) % 163.26/163.51 (define @t146 () (tptp.sdtasdt0 @t106 @t106)) % 163.26/163.51 (define @t147 () (tptp.sdtasasdt0 @t100 @t100)) % 163.26/163.51 (define @t148 () (tptp.sdtasdt0 @t147 @t146)) % 163.26/163.51 (define @t149 () (@list @t148)) % 163.26/163.51 (define @t150 () (tptp.smndt0 @t148)) % 163.26/163.51 (define @t151 () (tptp.sdtasdt0 @t148 tptp.sz0z00)) % 163.26/163.51 (define @t152 () (= tptp.sz0z00 @t151)) % 163.26/163.51 (define @t153 () (and (= @t148 (tptp.sdtpldt0 @t148 tptp.sz0z00)) (= @t148 (tptp.sdtpldt0 tptp.sz0z00 @t148)) @t152 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t148)) (= tptp.sz0z00 (tptp.sdtpldt0 @t148 @t150)) (= tptp.sz0z00 (tptp.sdtpldt0 @t150 @t148)) (= @t148 (tptp.smndt0 @t150)) @t144)) % 163.26/163.51 (define @t154 () (tptp.aScalar0 @t148)) % 163.26/163.51 (define @t155 () (not @t154)) % 163.26/163.51 (define @t156 () (or @t155 @t153)) % 163.26/163.51 (define @t157 () (@list false false)) % 163.26/163.51 (define @t158 () (@list false)) % 163.26/163.51 (define @t159 () (and (= @t46 @t49) (= @t46 @t47))) % 163.26/163.51 (define @t160 () (not @t15)) % 163.26/163.51 (define @t161 () (not @t12)) % 163.26/163.51 (define @t162 () (or @t161 @t160)) % 163.26/163.51 (define @t163 () (not @t16)) % 163.26/163.51 (define @t164 () (tptp.sdtasasdt0 @t102 @t102)) % 163.26/163.51 (define @t165 () (tptp.sdtasdt0 @t104 @t104)) % 163.26/163.51 (define @t166 () (tptp.sdtasdt0 @t165 @t164)) % 163.26/163.51 (define @t167 () (@list @t148 @t166)) % 163.26/163.51 (define @t168 () (tptp.sdtasdt0 @t148 @t166)) % 163.26/163.51 (define @t169 () (tptp.smndt0 @t168)) % 163.26/163.51 (define @t170 () (tptp.smndt0 @t166)) % 163.26/163.51 (define @t171 () (tptp.sdtasdt0 @t148 @t170)) % 163.26/163.51 (define @t172 () (= @t169 @t171)) % 163.26/163.51 (define @t173 () (and @t172 (= @t169 (tptp.sdtasdt0 @t150 @t166)))) % 163.26/163.51 (define @t174 () (tptp.aScalar0 @t166)) % 163.26/163.51 (define @t175 () (not @t174)) % 163.26/163.51 (define @t176 () (or @t155 @t175 @t173)) % 163.26/163.51 (define @t177 () (@list false false false)) % 163.26/163.51 (define @t178 () (not @t64)) % 163.26/163.51 (define @t179 () (not @t56)) % 163.26/163.51 (define @t180 () (not @t43)) % 163.26/163.51 (define @t181 () (not @t37)) % 163.26/163.51 (define @t182 () (or @t179 @t178 @t63)) % 163.26/163.51 (define @t183 () (or @t161 @t160 @t181 @t180)) % 163.26/163.51 (define @t184 () (not @t44)) % 163.26/163.51 (define @t185 () (not @t59)) % 163.26/163.51 (define @t186 () (or @t161 @t160 @t179 @t185 @t9)) % 163.26/163.51 (define @t187 () (or @t179 @t185 @t9)) % 163.26/163.51 (define @t188 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t100 @t102) (tptp.sdtasdt0 @t104 @t106))) % 163.26/163.51 (define @t189 () (tptp.sdtasdt0 @t188 @t188)) % 163.26/163.51 (define @t190 () (tptp.sdtlseqdt0 tptp.sz0z00 @t189)) % 163.26/163.51 (define @t191 () (tptp.aScalar0 @t188)) % 163.26/163.51 (define @t192 () (not @t191)) % 163.26/163.51 (define @t193 () (or @t192 @t190)) % 163.26/163.51 (define @t194 () (= tptp.sz0z00 @t168)) % 163.26/163.51 (define @t195 () (not @t194)) % 163.26/163.51 (define @t196 () (not @t190)) % 163.26/163.51 (define @t197 () (tptp.sdtlseqdt0 @t168 @t189)) % 163.26/163.51 (define @t198 () (not @t197)) % 163.26/163.51 (define @t199 () (= false true)) % 163.26/163.51 (define @t200 () (and @t194 @t190 @t198)) % 163.26/163.51 (define @t201 () (@list tptp.sz0z00)) % 163.26/163.51 (define @t202 () (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00))) % 163.26/163.51 (define @t203 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 163.26/163.51 (define @t204 () (and @t203 @t203 @t202 @t202 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t23)) (= tptp.sz0z00 (tptp.sdtpldt0 @t23 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t23)) @t144)) % 163.26/163.51 (define @t205 () (not @t13)) % 163.26/163.51 (define @t206 () (or @t205 @t204)) % 163.26/163.51 (define @t207 () (not @t204)) % 163.26/163.51 (define @t208 () (@list @t204)) % 163.26/163.51 (define @t209 () (@list @t168)) % 163.26/163.51 (define @t210 () (tptp.sdtpldt0 @t168 @t169)) % 163.26/163.51 (define @t211 () (= tptp.sz0z00 @t210)) % 163.26/163.51 (define @t212 () (tptp.sdtpldt0 @t168 tptp.sz0z00)) % 163.26/163.51 (define @t213 () (= @t168 @t212)) % 163.26/163.51 (define @t214 () (and @t213 (= @t168 (tptp.sdtpldt0 tptp.sz0z00 @t168)) (= tptp.sz0z00 (tptp.sdtasdt0 @t168 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t168)) @t211 (= tptp.sz0z00 (tptp.sdtpldt0 @t169 @t168)) (= @t168 (tptp.smndt0 @t169)) @t144)) % 163.26/163.51 (define @t215 () (tptp.aScalar0 @t168)) % 163.26/163.51 (define @t216 () (not @t215)) % 163.26/163.51 (define @t217 () (or @t216 @t214)) % 163.26/163.51 (define @t218 () (not @t214)) % 163.26/163.51 (define @t219 () (@list @t214)) % 163.26/163.51 (define @t220 () (not @t76)) % 163.26/163.51 (define @t221 () (not @t77)) % 163.26/163.51 (define @t222 () (or @t221 @t220 @t75)) % 163.26/163.51 (define @t223 () (tptp.sdtasdt0 @t166 @t166)) % 163.26/163.51 (define @t224 () (tptp.sdtasdt0 @t148 @t148)) % 163.26/163.51 (define @t225 () (@list @t166)) % 163.26/163.51 (define @t226 () (tptp.sdtlseqdt0 tptp.sz0z00 @t223)) % 163.26/163.51 (define @t227 () (or @t175 @t226)) % 163.26/163.51 (define @t228 () (tptp.sdtlseqdt0 tptp.sz0z00 @t224)) % 163.26/163.51 (define @t229 () (or @t155 @t228)) % 163.26/163.51 (define @t230 () (tptp.aScalar0 @t223)) % 163.26/163.51 (define @t231 () (or @t175 @t175 @t230)) % 163.26/163.51 (define @t232 () (tptp.aScalar0 @t224)) % 163.26/163.51 (define @t233 () (or @t155 @t155 @t232)) % 163.26/163.51 (define @t234 () (tptp.sdtpldt0 @t224 @t223)) % 163.26/163.51 (define @t235 () (tptp.sdtlseqdt0 tptp.sz0z00 @t234)) % 163.26/163.51 (define @t236 () (and @t235 (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 @t224 @t223)))) % 163.26/163.51 (define @t237 () (not @t226)) % 163.26/163.51 (define @t238 () (not @t228)) % 163.26/163.51 (define @t239 () (not @t230)) % 163.26/163.51 (define @t240 () (not @t232)) % 163.26/163.51 (define @t241 () (or @t240 @t239 @t238 @t237 @t236)) % 163.26/163.51 (define @t242 () (@list false false false false false)) % 163.26/163.51 (define @t243 () (not @t235)) % 163.26/163.51 (define @t244 () (= @t168 @t189)) % 163.26/163.51 (define @t245 () (not @t244)) % 163.26/163.51 (define @t246 () (not @t213)) % 163.26/163.51 (define @t247 () (not @t202)) % 163.26/163.51 (define @t248 () (tptp.sdtpldt0 @t189 @t189)) % 163.26/163.51 (define @t249 () (tptp.sdtlseqdt0 @t248 @t234)) % 163.26/163.51 (define @t250 () (not @t249)) % 163.26/163.51 (define @t251 () (and @t235 @t202 @t194 @t213 @t244 @t250)) % 163.26/163.51 (define @t252 () (tptp.sdtlseqdt0 @t189 @t168)) % 163.26/163.51 (define @t253 () (not @t252)) % 163.26/163.51 (define @t254 () (tptp.aScalar0 @t189)) % 163.26/163.51 (define @t255 () (not @t254)) % 163.26/163.51 (define @t256 () (or @t255 @t216 @t253 @t198 (= @t189 @t168))) % 163.26/163.51 (define @t257 () (forall @t11 @t186)) % 163.26/163.51 (define @t258 () (or @t255 @t216 @t253 @t198 @t244)) % 163.26/163.51 (define @t259 () (or @t192 @t192 @t254)) % 163.26/163.51 (define @t260 () (@list @t165 @t164)) % 163.26/163.51 (define @t261 () (@list @t104)) % 163.26/163.51 (define @t262 () (tptp.sdtlseqdt0 tptp.sz0z00 @t165)) % 163.26/163.51 (define @t263 () (tptp.aScalar0 @t104)) % 163.26/163.51 (define @t264 () (not @t263)) % 163.26/163.51 (define @t265 () (or @t264 @t262)) % 163.26/163.51 (define @t266 () (tptp.sdtlseqdt0 tptp.sz0z00 @t164)) % 163.26/163.51 (define @t267 () (tptp.aVector0 @t102)) % 163.26/163.51 (define @t268 () (not @t267)) % 163.26/163.51 (define @t269 () (or @t268 @t266)) % 163.26/163.51 (define @t270 () (tptp.sdtlseqdt0 tptp.sz0z00 @t166)) % 163.26/163.51 (define @t271 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 @t165 @t164)) @t270)) % 163.26/163.51 (define @t272 () (not @t266)) % 163.26/163.51 (define @t273 () (not @t262)) % 163.26/163.51 (define @t274 () (tptp.aScalar0 @t164)) % 163.26/163.51 (define @t275 () (not @t274)) % 163.26/163.51 (define @t276 () (tptp.aScalar0 @t165)) % 163.26/163.51 (define @t277 () (not @t276)) % 163.26/163.51 (define @t278 () (or @t277 @t275 @t273 @t272 @t271)) % 163.26/163.51 (define @t279 () (tptp.sdtlseqdt0 tptp.sz0z00 @t146)) % 163.26/163.51 (define @t280 () (tptp.aScalar0 @t106)) % 163.26/163.51 (define @t281 () (not @t280)) % 163.26/163.51 (define @t282 () (or @t281 @t279)) % 163.26/163.51 (define @t283 () (tptp.sdtlseqdt0 tptp.sz0z00 @t147)) % 163.26/163.51 (define @t284 () (tptp.aVector0 @t100)) % 163.26/163.51 (define @t285 () (not @t284)) % 163.26/163.51 (define @t286 () (or @t285 @t283)) % 163.26/163.51 (define @t287 () (tptp.sdtlseqdt0 tptp.sz0z00 @t148)) % 163.26/163.51 (define @t288 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 @t147 @t146)) @t287)) % 163.26/163.51 (define @t289 () (not @t279)) % 163.26/163.51 (define @t290 () (not @t283)) % 163.26/163.51 (define @t291 () (tptp.aScalar0 @t146)) % 163.26/163.51 (define @t292 () (not @t291)) % 163.26/163.51 (define @t293 () (tptp.aScalar0 @t147)) % 163.26/163.51 (define @t294 () (not @t293)) % 163.26/163.51 (define @t295 () (or @t294 @t292 @t290 @t289 @t288)) % 163.26/163.51 (define @t296 () (tptp.sdtlseqdt0 tptp.sz0z00 @t168)) % 163.26/163.51 (define @t297 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 @t148 @t166)) @t296)) % 163.26/163.51 (define @t298 () (not @t270)) % 163.26/163.51 (define @t299 () (not @t287)) % 163.26/163.51 (define @t300 () (or @t155 @t175 @t299 @t298 @t297)) % 163.26/163.51 (define @t301 () (tptp.sdtlseqdt0 @t168 tptp.sz0z00)) % 163.26/163.51 (define @t302 () (not @t301)) % 163.26/163.51 (define @t303 () (not @t296)) % 163.26/163.51 (define @t304 () (or @t205 @t216 @t303 @t302 @t194)) % 163.26/163.51 (define @t305 () (tptp.sdtlseqdt0 @t212 @t210)) % 163.26/163.51 (define @t306 () (not @t305)) % 163.26/163.51 (define @t307 () (not @t211)) % 163.26/163.51 (define @t308 () (and @t213 @t211 @t302)) % 163.26/163.51 (define @t309 () (tptp.aScalar0 @t169)) % 163.26/163.51 (define @t310 () (or @t216 @t309)) % 163.26/163.51 (define @t311 () (tptp.sdtlseqdt0 @t168 @t168)) % 163.26/163.51 (define @t312 () (or @t216 @t311)) % 163.26/163.51 (define @t313 () (tptp.sdtlseqdt0 tptp.sz0z00 @t169)) % 163.26/163.51 (define @t314 () (not @t313)) % 163.26/163.51 (define @t315 () (not @t311)) % 163.26/163.51 (define @t316 () (not @t309)) % 163.26/163.51 (define @t317 () (or @t216 @t216 @t205 @t316 @t315 @t314 @t305)) % 163.26/163.51 (define @t318 () (not @t69)) % 163.26/163.51 (define @t319 () (or @t179 @t318 @t178 @t68)) % 163.26/163.51 (define @t320 () (or @t179 @t318 @t178)) % 163.26/163.51 (define @t321 () (tptp.smndt0 @t165)) % 163.26/163.51 (define @t322 () (tptp.smndt0 @t104)) % 163.26/163.51 (define @t323 () (tptp.smndt0 @t322)) % 163.26/163.51 (define @t324 () (= @t104 @t323)) % 163.26/163.51 (define @t325 () (tptp.sdtpldt0 @t104 @t322)) % 163.26/163.51 (define @t326 () (= tptp.sz0z00 @t325)) % 163.26/163.51 (define @t327 () (tptp.sdtasdt0 @t104 tptp.sz0z00)) % 163.26/163.51 (define @t328 () (= tptp.sz0z00 @t327)) % 163.26/163.51 (define @t329 () (and (= @t104 (tptp.sdtpldt0 @t104 tptp.sz0z00)) (= @t104 (tptp.sdtpldt0 tptp.sz0z00 @t104)) @t328 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t104)) @t326 (= tptp.sz0z00 (tptp.sdtpldt0 @t322 @t104)) @t324 @t144)) % 163.26/163.51 (define @t330 () (or @t264 @t329)) % 163.26/163.51 (define @t331 () (not @t329)) % 163.26/163.51 (define @t332 () (@list @t329)) % 163.26/163.51 (define @t333 () (tptp.sdtasdt0 @t322 @t104)) % 163.26/163.51 (define @t334 () (= @t321 @t333)) % 163.26/163.51 (define @t335 () (tptp.sdtasdt0 @t104 @t322)) % 163.26/163.51 (define @t336 () (= @t321 @t335)) % 163.26/163.51 (define @t337 () (and @t336 @t334)) % 163.26/163.51 (define @t338 () (or @t264 @t264 @t337)) % 163.26/163.51 (define @t339 () (not @t337)) % 163.26/163.51 (define @t340 () (@list @t337)) % 163.26/163.51 (define @t341 () (tptp.sdtlseqdt0 @t327 @t335)) % 163.26/163.51 (define @t342 () (tptp.sdtlseqdt0 tptp.sz0z00 @t321)) % 163.26/163.51 (define @t343 () (and @t328 @t336 @t341)) % 163.26/163.51 (define @t344 () (not @t328)) % 163.26/163.51 (define @t345 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 163.26/163.51 (define @t346 () (or @t205 @t345)) % 163.26/163.51 (define @t347 () (tptp.sdtlseqdt0 @t104 @t104)) % 163.26/163.51 (define @t348 () (or @t264 @t347)) % 163.26/163.51 (define @t349 () (tptp.aScalar0 @t322)) % 163.26/163.51 (define @t350 () (or @t264 @t349)) % 163.26/163.51 (define @t351 () (tptp.sdtlseqdt0 tptp.sz0z00 @t322)) % 163.26/163.51 (define @t352 () (not @t351)) % 163.26/163.51 (define @t353 () (not @t345)) % 163.26/163.51 (define @t354 () (not @t347)) % 163.26/163.51 (define @t355 () (not @t349)) % 163.26/163.51 (define @t356 () (or @t264 @t264 @t205 @t355 @t354 @t353 @t352 @t341)) % 163.26/163.51 (define @t357 () (@list @t322)) % 163.26/163.51 (define @t358 () (tptp.sdtasdt0 @t322 tptp.sz0z00)) % 163.26/163.51 (define @t359 () (tptp.sdtpldt0 tptp.sz0z00 @t322)) % 163.26/163.51 (define @t360 () (= @t322 @t359)) % 163.26/163.51 (define @t361 () (and (= @t322 (tptp.sdtpldt0 @t322 tptp.sz0z00)) @t360 (= tptp.sz0z00 @t358) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t322)) (= tptp.sz0z00 (tptp.sdtpldt0 @t322 @t323)) (= tptp.sz0z00 (tptp.sdtpldt0 @t323 @t322)) (= @t322 (tptp.smndt0 @t323)) @t144)) % 163.26/163.51 (define @t362 () (or @t355 @t361)) % 163.26/163.51 (define @t363 () (tptp.sdtlseqdt0 @t325 @t359)) % 163.26/163.51 (define @t364 () (and @t326 @t360 @t363)) % 163.26/163.51 (define @t365 () (tptp.sdtlseqdt0 @t322 @t322)) % 163.26/163.51 (define @t366 () (or @t355 @t365)) % 163.26/163.51 (define @t367 () (not @t365)) % 163.26/163.51 (define @t368 () (tptp.sdtlseqdt0 @t104 tptp.sz0z00)) % 163.26/163.51 (define @t369 () (not @t368)) % 163.26/163.51 (define @t370 () (or @t264 @t205 @t355 @t355 @t369 @t367 @t363)) % 163.26/163.51 (define @t371 () (tptp.sdtlseqdt0 tptp.sz0z00 @t104)) % 163.26/163.51 (define @t372 () (or @t264 @t205 @t368 @t371)) % 163.26/163.51 (define @t373 () (tptp.sdtlseqdt0 @t358 @t333)) % 163.26/163.51 (define @t374 () (not @t371)) % 163.26/163.51 (define @t375 () (or @t355 @t355 @t205 @t264 @t367 @t353 @t374 @t373)) % 163.26/163.51 (define @t376 () (= @t17 @t53)) % 163.26/163.51 (define @t377 () (tptp.sdtasdt0 @t323 @t23)) % 163.26/163.51 (define @t378 () (= @t358 @t377)) % 163.26/163.51 (define @t379 () (or @t355 @t205 @t378)) % 163.26/163.51 (define @t380 () (not @t373)) % 163.26/163.51 (define @t381 () (not @t378)) % 163.26/163.51 (define @t382 () (not @t334)) % 163.26/163.51 (define @t383 () (not @t324)) % 163.26/163.51 (define @t384 () (not @t144)) % 163.26/163.51 (define @t385 () (not @t342)) % 163.26/163.51 (define @t386 () (and @t144 @t202 @t328 @t324 @t334 @t378 @t385)) % 163.26/163.51 (define @t387 () (tptp.aScalar0 @t321)) % 163.26/163.51 (define @t388 () (or @t277 @t387)) % 163.26/163.51 (define @t389 () (@list @t164)) % 163.26/163.51 (define @t390 () (tptp.sdtlseqdt0 @t164 @t164)) % 163.26/163.51 (define @t391 () (or @t275 @t390)) % 163.26/163.51 (define @t392 () (tptp.sdtasdt0 @t321 @t164)) % 163.26/163.51 (define @t393 () (tptp.sdtasdt0 tptp.sz0z00 @t164)) % 163.26/163.51 (define @t394 () (tptp.sdtlseqdt0 @t393 @t392)) % 163.26/163.51 (define @t395 () (not @t390)) % 163.26/163.51 (define @t396 () (not @t387)) % 163.26/163.51 (define @t397 () (or @t205 @t396 @t275 @t275 @t385 @t272 @t395 @t394)) % 163.26/163.51 (define @t398 () (@list false false false false false false false)) % 163.26/163.51 (define @t399 () (= @t170 @t392)) % 163.26/163.51 (define @t400 () (tptp.smndt0 @t164)) % 163.26/163.51 (define @t401 () (and (= @t170 (tptp.sdtasdt0 @t165 @t400)) @t399)) % 163.26/163.51 (define @t402 () (or @t277 @t275 @t401)) % 163.26/163.51 (define @t403 () (= tptp.sz0z00 @t393)) % 163.26/163.51 (define @t404 () (and (= @t164 (tptp.sdtpldt0 @t164 tptp.sz0z00)) (= @t164 (tptp.sdtpldt0 tptp.sz0z00 @t164)) (= tptp.sz0z00 (tptp.sdtasdt0 @t164 tptp.sz0z00)) @t403 (= tptp.sz0z00 (tptp.sdtpldt0 @t164 @t400)) (= tptp.sz0z00 (tptp.sdtpldt0 @t400 @t164)) (= @t164 (tptp.smndt0 @t400)) @t144)) % 163.26/163.51 (define @t405 () (or @t275 @t404)) % 163.26/163.51 (define @t406 () (not @t394)) % 163.26/163.51 (define @t407 () (tptp.sdtlseqdt0 tptp.sz0z00 @t170)) % 163.26/163.51 (define @t408 () (not @t399)) % 163.26/163.51 (define @t409 () (not @t403)) % 163.26/163.51 (define @t410 () (not @t407)) % 163.26/163.51 (define @t411 () (and @t403 @t399 @t410)) % 163.26/163.51 (define @t412 () (tptp.aScalar0 @t170)) % 163.26/163.51 (define @t413 () (or @t175 @t412)) % 163.26/163.51 (define @t414 () (tptp.sdtlseqdt0 @t148 @t148)) % 163.26/163.51 (define @t415 () (or @t155 @t414)) % 163.26/163.51 (define @t416 () (tptp.sdtlseqdt0 @t151 @t171)) % 163.26/163.51 (define @t417 () (not @t414)) % 163.26/163.51 (define @t418 () (not @t412)) % 163.26/163.51 (define @t419 () (or @t155 @t155 @t205 @t418 @t417 @t353 @t410 @t416)) % 163.26/163.51 (define @t420 () (not @t416)) % 163.26/163.51 (define @t421 () (not @t172)) % 163.26/163.51 (define @t422 () (not @t152)) % 163.26/163.51 (define @t423 () (and @t416 @t172 @t152 @t314)) % 163.26/163.51 (assume @p1 (forall @t3 (=> @t2 true))) % 163.26/163.51 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 163.26/163.51 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 163.26/163.51 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 163.26/163.51 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 163.26/163.51 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 163.26/163.51 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 163.26/163.51 (assume @p8 (forall @t3 (=> @t12 true))) % 163.26/163.51 (assume @p9 @t13) % 163.26/163.51 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 163.26/163.51 (assume @p11 @t19) % 163.26/163.51 (assume @p12 @t22) % 163.26/163.51 (assume @p13 @t33) % 163.26/163.51 (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)))))) % 163.26/163.51 (assume @p15 (forall @t39 (=> @t38 (and (= (tptp.sdtasdt0 @t1 @t36) (tptp.sdtpldt0 @t17 @t40)) (= (tptp.sdtasdt0 @t14 @t34) (tptp.sdtpldt0 @t40 @t35)))))) % 163.26/163.51 (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)))))) % 163.26/163.51 (assume @p17 @t52) % 163.26/163.51 (assume @p18 @t55) % 163.26/163.51 (assume @p19 (forall @t11 (=> @t16 (=> @t56 true)))) % 163.26/163.51 (assume @p20 @t58) % 163.26/163.51 (assume @p21 @t62) % 163.26/163.51 (assume @p22 (forall @t39 (=> @t38 (=> (and @t56 (tptp.sdtlseqdt0 @t5 @t34)) (tptp.sdtlseqdt0 @t1 @t34))))) % 163.26/163.51 (assume @p23 @t67) % 163.26/163.51 (assume @p24 @t72) % 163.26/163.51 (assume @p25 @t74) % 163.26/163.51 (assume @p26 @t80) % 163.26/163.51 (assume @p27 @t83) % 163.26/163.51 (assume @p28 (forall @t11 (=> @t16 (=> (and @t77 @t76 (= @t81 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 163.26/163.51 (assume @p29 (forall @t3 (=> @t84 true))) % 163.26/163.51 (assume @p30 (forall @t3 (=> @t84 (tptp.aNaturalNumber0 @t85)))) % 163.26/163.51 (assume @p31 (forall @t11 (=> (and @t84 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 163.26/163.51 (assume @p32 (forall @t3 (=> @t84 (=> (not (= @t85 tptp.sz00)) (forall @t8 (= (= @t5 @t88) (and @t87 (= (tptp.szszuzczcdt0 @t86) @t85) (forall (@list @t34) (=> (tptp.aNaturalNumber0 @t34) (= (tptp.sdtlbdtrb0 @t5 @t34) (tptp.sdtlbdtrb0 @t1 @t34))))))))))) % 163.26/163.51 (assume @p33 (forall @t11 (=> @t93 (=> @t92 (= (tptp.aDimensionOf0 @t88) (tptp.aDimensionOf0 @t89)))))) % 163.26/163.51 (assume @p34 (forall @t11 (=> @t93 (=> @t91 (tptp.aScalar0 @t94))))) % 163.26/163.51 (assume @p35 (forall @t11 (=> @t93 (=> (and @t91 @t90) (= @t94 tptp.sz0z00))))) % 163.26/163.51 (assume @p36 (forall @t11 (=> @t93 (=> @t92 (= @t94 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t88 @t89) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t85) (tptp.sdtlbdtrb0 @t5 @t86)))))))) % 163.26/163.51 (assume @p37 @t97) % 163.26/163.51 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 163.26/163.51 (assume @p39 (forall @t11 (=> @t93 (=> @t91 (=> (tptp.iLess0 @t85 @t98) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t94 @t94) (tptp.sdtasdt0 @t95 (tptp.sdtasasdt0 @t5 @t5)))))))) % 163.26/163.51 (assume @p40 (= @t98 @t99)) % 163.26/163.51 (assume @p41 (not (= @t98 tptp.sz00))) % 163.26/163.51 (assume @p42 (and @t101 (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t98) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t100))) % 163.26/163.51 (assume @p43 (and @t103 (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t99) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t102))) % 163.26/163.51 (assume @p44 (and @t105 (= tptp.xA @t104))) % 163.26/163.51 (assume @p45 (and @t107 (= tptp.xB @t106))) % 163.26/163.51 (assume @p46 (and @t110 @t109)) % 163.26/163.51 (assume @p47 (and @t113 @t112)) % 163.26/163.51 (assume @p48 (and (tptp.aScalar0 tptp.xE) @t115)) % 163.26/163.51 (assume @p49 (and @t118 @t117)) % 163.26/163.51 (assume @p50 (and @t121 @t120)) % 163.26/163.51 (assume @p51 (and (tptp.aScalar0 tptp.xH) @t123)) % 163.26/163.51 (assume @p52 (and @t126 @t125)) % 163.26/163.51 (assume @p53 (and @t129 @t128)) % 163.26/163.51 (assume @p54 (and @t132 @t131)) % 163.26/163.51 (assume @p55 (and @t135 @t134)) % 163.26/163.51 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 163.26/163.51 (assume @p57 @t137) % 163.26/163.51 (assume @p58 @t143) % 163.26/163.51 (assume @p59 true) % 163.26/163.51 (step @p60 :rule bool-impl-elim :args (@t12 @t145)) % 163.26/163.51 (step @p61 :rule cong :premises (@p60) :args ((forall @t3 (=> @t12 @t145)))) % 163.26/163.51 (step @p62 :rule eq-symm :args (@t23 tptp.sz0z00)) % 163.26/163.51 (step @p63 :rule eq-symm :args (@t24 @t1)) % 163.26/163.51 (step @p64 :rule eq-symm :args (@t25 tptp.sz0z00)) % 163.26/163.51 (step @p65 :rule eq-symm :args (@t26 tptp.sz0z00)) % 163.26/163.51 (step @p66 :rule eq-symm :args (@t27 tptp.sz0z00)) % 163.26/163.51 (step @p67 :rule eq-symm :args (@t28 tptp.sz0z00)) % 163.26/163.51 (step @p68 :rule eq-symm :args (@t29 @t1)) % 163.26/163.51 (step @p69 :rule eq-symm :args (@t30 @t1)) % 163.26/163.51 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62) :args (@t31)) % 163.26/163.51 (step @p71 :rule refl :args (@t12)) % 163.26/163.51 (step @p72 :rule cong :premises (@p71 @p70) :args (@t32)) % 163.26/163.51 (step @p73 :rule cong :premises (@p72) :args (@t33)) % 163.26/163.51 (step @p74 :rule trans :premises (@p73 @p61)) % 163.26/163.51 (step @p75 :rule eq_resolve :premises (@p13 @p74)) % 163.26/163.51 (step @p76 :rule instantiate :premises (@p75) :args (@t149)) % 163.26/163.51 (step @p77 :rule and_elim :premises (@p45) :args (1)) % 163.26/163.51 (step @p78 :rule cong :premises (@p77 @p77) :args (@t119)) % 163.26/163.51 (step @p79 :rule refl :args (tptp.xG)) % 163.26/163.51 (step @p80 :rule cong :premises (@p79 @p78) :args (@t120)) % 163.26/163.51 (step @p81 :rule and_elim :premises (@p50) :args (1)) % 163.26/163.51 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 163.26/163.51 (step @p83 :rule and_elim :premises (@p42) :args (3)) % 163.26/163.51 (step @p84 :rule cong :premises (@p83 @p83) :args (@t108)) % 163.26/163.51 (step @p85 :rule refl :args (tptp.xC)) % 163.26/163.51 (step @p86 :rule cong :premises (@p85 @p84) :args (@t109)) % 163.26/163.51 (step @p87 :rule and_elim :premises (@p46) :args (1)) % 163.26/163.51 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 163.26/163.51 (step @p89 :rule cong :premises (@p88 @p82) :args (@t124)) % 163.26/163.51 (step @p90 :rule refl :args (tptp.xR)) % 163.26/163.51 (step @p91 :rule cong :premises (@p90 @p89) :args (@t125)) % 163.26/163.51 (step @p92 :rule and_elim :premises (@p52) :args (1)) % 163.26/163.51 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 163.26/163.51 (step @p94 :rule cong :premises (@p93) :args (@t126)) % 163.26/163.51 (step @p95 :rule and_elim :premises (@p52) :args (0)) % 163.26/163.51 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 163.26/163.51 (step @p97 :rule cnf_or_pos :args (@t156)) % 163.26/163.51 (step @p98 :rule reordering :premises (@p97) :args ((or @t155 @t153 (not @t156)))) % 163.26/163.51 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p76) :args (@t153 @t157 (@list @t154 @t156))) % 163.26/163.51 (step @p100 :rule cnf_and_pos :args (@t153 2)) % 163.26/163.51 (step @p101 :rule reordering :premises (@p100) :args ((or @t152 (not @t153)))) % 163.26/163.51 (step @p102 :rule chain_m_resolution :premises (@p101 @p99) :args (@t152 @t158 (@list @t153))) % 163.26/163.51 (step @p103 :rule aci_norm :args ((= (or @t162 @t159) (or @t161 @t160 @t159)))) % 163.26/163.51 (step @p104 :rule refl :args (@t159)) % 163.26/163.51 (step @p105 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 163.26/163.51 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t163 @t159))) % 163.26/163.51 (step @p107 :rule trans :premises (@p106 @p103)) % 163.26/163.51 (step @p108 :rule bool-impl-elim :args (@t16 @t159)) % 163.26/163.51 (step @p109 :rule trans :premises (@p108 @p107)) % 163.26/163.51 (step @p110 :rule cong :premises (@p109) :args ((forall @t11 (=> @t16 @t159)))) % 163.26/163.51 (step @p111 :rule eq-symm :args (@t47 @t46)) % 163.26/163.51 (step @p112 :rule eq-symm :args (@t49 @t46)) % 163.26/163.51 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t50)) % 163.26/163.51 (step @p114 :rule refl :args (@t16)) % 163.26/163.51 (step @p115 :rule cong :premises (@p114 @p113) :args (@t51)) % 163.26/163.51 (step @p116 :rule cong :premises (@p115) :args (@t52)) % 163.26/163.51 (step @p117 :rule trans :premises (@p116 @p110)) % 163.26/163.51 (step @p118 :rule eq_resolve :premises (@p17 @p117)) % 163.26/163.51 (step @p119 :rule instantiate :premises (@p118) :args (@t167)) % 163.26/163.51 (step @p120 :rule and_elim :premises (@p43) :args (3)) % 163.26/163.51 (step @p121 :rule cong :premises (@p120 @p120) :args (@t111)) % 163.26/163.51 (step @p122 :rule refl :args (tptp.xD)) % 163.26/163.51 (step @p123 :rule cong :premises (@p122 @p121) :args (@t112)) % 163.26/163.51 (step @p124 :rule and_elim :premises (@p47) :args (1)) % 163.26/163.51 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 163.26/163.51 (step @p126 :rule and_elim :premises (@p44) :args (1)) % 163.26/163.51 (step @p127 :rule cong :premises (@p126 @p126) :args (@t116)) % 163.26/163.51 (step @p128 :rule refl :args (tptp.xF)) % 163.26/163.51 (step @p129 :rule cong :premises (@p128 @p127) :args (@t117)) % 163.26/163.51 (step @p130 :rule and_elim :premises (@p49) :args (1)) % 163.26/163.51 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 163.26/163.51 (step @p132 :rule cong :premises (@p131 @p125) :args (@t130)) % 163.26/163.51 (step @p133 :rule refl :args (tptp.xS)) % 163.26/163.51 (step @p134 :rule cong :premises (@p133 @p132) :args (@t131)) % 163.26/163.51 (step @p135 :rule and_elim :premises (@p54) :args (1)) % 163.26/163.51 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 163.26/163.51 (step @p137 :rule cong :premises (@p136) :args (@t132)) % 163.26/163.51 (step @p138 :rule and_elim :premises (@p54) :args (0)) % 163.26/163.51 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 163.26/163.51 (step @p140 :rule cnf_or_pos :args (@t176)) % 163.26/163.51 (step @p141 :rule reordering :premises (@p140) :args ((or @t155 @t175 @t173 (not @t176)))) % 163.26/163.51 (step @p142 :rule chain_m_resolution :premises (@p141 @p96 @p139 @p119) :args (@t173 @t177 (@list @t154 @t174 @t176))) % 163.26/163.51 (step @p143 :rule cnf_and_pos :args (@t173 0)) % 163.26/163.51 (step @p144 :rule reordering :premises (@p143) :args ((or @t172 (not @t173)))) % 163.26/163.51 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t172 @t158 (@list @t173))) % 163.26/163.51 (step @p146 :rule aci_norm :args ((= (or @t183 @t182) (or @t161 @t160 @t181 @t180 @t179 @t178 @t63)))) % 163.26/163.51 (step @p147 :rule aci_norm :args ((= (or (or @t179 @t178) @t63) @t182))) % 163.26/163.51 (step @p148 :rule refl :args (@t63)) % 163.26/163.51 (step @p149 :rule bool-and-de-morgan :args (@t56 @t64 true)) % 163.26/163.51 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t65) @t63))) % 163.26/163.51 (step @p151 :rule trans :premises (@p150 @p147)) % 163.26/163.51 (step @p152 :rule bool-impl-elim :args (@t65 @t63)) % 163.26/163.51 (step @p153 :rule trans :premises (@p152 @p151)) % 163.26/163.51 (step @p154 :rule aci_norm :args ((= (or @t161 (or @t160 (or @t181 @t180))) @t183))) % 163.26/163.51 (step @p155 :rule bool-and-de-morgan :args (@t37 @t43 true)) % 163.26/163.51 (step @p156 :rule refl :args (@t160)) % 163.26/163.51 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t160 (not (and @t37 @t43))))) % 163.26/163.51 (step @p158 :rule bool-and-de-morgan :args (@t15 @t37 (and @t43))) % 163.26/163.51 (step @p159 :rule trans :premises (@p158 @p157)) % 163.26/163.51 (step @p160 :rule refl :args (@t161)) % 163.26/163.51 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t161 (not (and @t15 @t37 @t43))))) % 163.26/163.51 (step @p162 :rule bool-and-de-morgan :args (@t12 @t15 (and @t37 @t43))) % 163.26/163.51 (step @p163 :rule trans :premises (@p162 @p161)) % 163.26/163.51 (step @p164 :rule trans :premises (@p163 @p154)) % 163.26/163.51 (step @p165 :rule nary_cong :premises (@p164 @p153) :args ((or @t184 @t66))) % 163.26/163.51 (step @p166 :rule trans :premises (@p165 @p146)) % 163.26/163.51 (step @p167 :rule bool-impl-elim :args (@t44 @t66)) % 163.26/163.51 (step @p168 :rule trans :premises (@p167 @p166)) % 163.26/163.51 (step @p169 :rule cong :premises (@p168) :args (@t67)) % 163.26/163.51 (step @p170 :rule eq_resolve :premises (@p23 @p169)) % 163.26/163.51 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t168 @t168 tptp.sz0z00 @t169))) % 163.26/163.51 (step @p172 :rule aci_norm :args ((= (or @t162 @t187) @t186))) % 163.26/163.51 (step @p173 :rule aci_norm :args ((= (or (or @t179 @t185) @t9) @t187))) % 163.26/163.51 (step @p174 :rule refl :args (@t9)) % 163.26/163.51 (step @p175 :rule bool-and-de-morgan :args (@t56 @t59 true)) % 163.26/163.51 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t60) @t9))) % 163.26/163.51 (step @p177 :rule trans :premises (@p176 @p173)) % 163.26/163.51 (step @p178 :rule bool-impl-elim :args (@t60 @t9)) % 163.26/163.51 (step @p179 :rule trans :premises (@p178 @p177)) % 163.26/163.51 (step @p180 :rule nary_cong :premises (@p105 @p179) :args ((or @t163 @t61))) % 163.26/163.51 (step @p181 :rule trans :premises (@p180 @p172)) % 163.26/163.51 (step @p182 :rule bool-impl-elim :args (@t16 @t61)) % 163.26/163.51 (step @p183 :rule trans :premises (@p182 @p181)) % 163.26/163.51 (step @p184 :rule cong :premises (@p183) :args (@t62)) % 163.26/163.51 (step @p185 :rule eq_resolve :premises (@p21 @p184)) % 163.26/163.51 (step @p186 :rule instantiate :premises (@p185) :args ((@list tptp.sz0z00 @t168))) % 163.26/163.51 (step @p187 :rule bool-impl-elim :args (@t12 @t82)) % 163.26/163.51 (step @p188 :rule cong :premises (@p187) :args (@t83)) % 163.26/163.51 (step @p189 :rule eq_resolve :premises (@p27 @p188)) % 163.26/163.51 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t188))) % 163.26/163.51 (step @p191 :rule cong :premises (@p126 @p77) :args (@t122)) % 163.26/163.51 (step @p192 :rule refl :args (tptp.xH)) % 163.26/163.51 (step @p193 :rule cong :premises (@p192 @p191) :args (@t123)) % 163.26/163.51 (step @p194 :rule and_elim :premises (@p51) :args (1)) % 163.26/163.51 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 163.26/163.51 (step @p196 :rule cong :premises (@p83 @p120) :args (@t114)) % 163.26/163.51 (step @p197 :rule refl :args (tptp.xE)) % 163.26/163.51 (step @p198 :rule cong :premises (@p197 @p196) :args (@t115)) % 163.26/163.51 (step @p199 :rule and_elim :premises (@p48) :args (1)) % 163.26/163.51 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 163.26/163.51 (step @p201 :rule cong :premises (@p200 @p195) :args (@t127)) % 163.26/163.51 (step @p202 :rule refl :args (tptp.xP)) % 163.26/163.51 (step @p203 :rule cong :premises (@p202 @p201) :args (@t128)) % 163.26/163.51 (step @p204 :rule and_elim :premises (@p53) :args (1)) % 163.26/163.51 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 163.26/163.51 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:rule cnf_or_pos :args (@t372)) % 163.26/163.51 (step @p645 :rule reordering :premises (@p644) :args ((or @t205 @t264 @t371 @t368 (not @t372)))) % 163.26/163.51 (step @p646 :rule instantiate :premises (@p535) :args ((@list @t322 @t322 tptp.sz0z00 @t104))) % 163.26/163.51 (step @p647 :rule cnf_or_pos :args (@t375)) % 163.26/163.51 (step @p648 :rule factoring :premises (@p647)) % 163.26/163.51 (step @p649 :rule reordering :premises (@p648) :args ((or @t205 @t264 @t353 @t374 @t355 @t367 @t373 (not @t375)))) % 163.26/163.51 (step @p650 :rule cnf_and_pos :args (@t204 7)) % 163.26/163.51 (step @p651 :rule reordering :premises (@p650) :args ((or @t144 @t207))) % 163.26/163.51 (step @p652 :rule chain_m_resolution :premises (@p651 @p255) :args (@t144 @t158 @t208)) % 163.26/163.51 (step @p653 :rule cnf_and_pos :args (@t329 6)) % 163.26/163.51 (step @p654 :rule reordering :premises (@p653) :args ((or @t324 @t331))) % 163.26/163.51 (step @p655 :rule chain_m_resolution :premises (@p654 @p541) :args (@t324 @t158 @t332)) % 163.26/163.51 (step @p656 :rule aci_norm :args ((= (or @t162 @t376) (or @t161 @t160 @t376)))) % 163.26/163.51 (step @p657 :rule refl :args (@t376)) % 163.26/163.51 (step @p658 :rule nary_cong :premises (@p105 @p657) :args ((or @t163 @t376))) % 163.26/163.51 (step @p659 :rule trans :premises (@p658 @p656)) % 163.26/163.51 (step @p660 :rule bool-impl-elim :args (@t16 @t376)) % 163.26/163.51 (step @p661 :rule trans :premises (@p660 @p659)) % 163.26/163.51 (step @p662 :rule cong :premises (@p661) :args ((forall @t11 (=> @t16 @t376)))) % 163.26/163.51 (step @p663 :rule eq-symm :args (@t53 @t17)) % 163.26/163.51 (step @p664 :rule cong :premises (@p114 @p663) :args (@t54)) % 163.26/163.51 (step @p665 :rule cong :premises (@p664) :args (@t55)) % 163.26/163.51 (step @p666 :rule trans :premises (@p665 @p662)) % 163.26/163.51 (step @p667 :rule eq_resolve :premises (@p18 @p666)) % 163.26/163.51 (step @p668 :rule instantiate :premises (@p667) :args ((@list @t322 tptp.sz0z00))) % 163.26/163.51 (step @p669 :rule cnf_or_pos :args (@t379)) % 163.26/163.51 (step @p670 :rule reordering :premises (@p669) :args ((or @t205 @t355 @t378 (not @t379)))) % 163.26/163.51 (step @p671 :rule chain_m_resolution :premises (@p670 @p9 @p588 @p668) :args (@t378 @t177 (@list @t13 @t349 @t379))) % 163.26/163.51 (step @p672 :rule cnf_and_pos :args (@t337 1)) % 163.26/163.51 (step @p673 :rule reordering :premises (@p672) :args ((or @t334 @t339))) % 163.26/163.51 (step @p674 :rule chain_m_resolution :premises (@p673 @p549) :args (@t334 @t158 @t340)) % 163.26/163.51 (step @p675 :rule refl :args (@t380)) % 163.26/163.51 (step @p676 :rule bool-double-not-elim :args (@t342)) % 163.26/163.51 (step @p677 :rule refl :args (@t381)) % 163.26/163.51 (step @p678 :rule refl :args (@t382)) % 163.26/163.51 (step @p679 :rule refl :args (@t383)) % 163.26/163.51 (step @p680 :rule refl :args (@t344)) % 163.26/163.51 (step @p681 :rule refl :args (@t384)) % 163.26/163.51 (step @p682 :rule nary_cong :premises (@p681 @p324 @p680 @p679 @p678 @p677 @p676 @p675) :args ((or @t384 @t247 @t344 @t383 @t382 @t381 (not @t385) @t380))) % 163.26/163.51 (assume-push @p913 @t144) % 163.26/163.51 (assume-push @p914 @t202) % 163.26/163.51 (assume-push @p915 @t328) % 163.26/163.51 (assume-push @p916 @t324) % 163.26/163.51 (assume-push @p917 @t334) % 163.26/163.51 (assume-push @p918 @t378) % 163.26/163.51 (assume-push @p919 @t385) % 163.26/163.51 (assume-push @p920 @t385) % 163.26/163.51 (assume-push @p921 @t202) % 163.26/163.51 (assume-push @p922 @t328) % 163.26/163.51 (assume-push @p923 @t324) % 163.26/163.51 (assume-push @p924 @t144) % 163.26/163.51 (assume-push @p925 @t378) % 163.26/163.51 (assume-push @p926 @t334) % 163.26/163.51 (step @p697 :rule false_intro :premises (@p919)) % 163.26/163.51 (step @p698 :rule symm :premises (@p674)) % 163.26/163.51 (step @p335 :rule symm :premises (@p258)) % 163.26/163.51 (step @p699 :rule symm :premises (@p544)) % 163.26/163.51 (step @p700 :rule symm :premises (@p652)) % 163.26/163.51 (step @p701 :rule symm :premises (@p655)) % 163.26/163.51 (step @p702 :rule cong :premises (@p701 @p700) :args (@t377)) % 163.26/163.51 (step @p703 :rule trans :premises (@p671 @p702 @p699 @p258)) % 163.26/163.51 (step @p704 :rule trans :premises (@p703 @p335)) % 163.26/163.51 (step @p705 :rule cong :premises (@p704 @p698) :args (@t373)) % 163.26/163.51 (step @p706 :rule trans :premises (@p705 @p697)) % 163.26/163.51 (step @p707 :rule false_elim :premises (@p706)) % 163.26/163.51 (step-pop @p927 :rule scope :premises (@p707)) % 163.26/163.51 (step-pop @p928 :rule scope :premises (@p927)) % 163.26/163.51 (step-pop @p929 :rule scope :premises (@p928)) % 163.26/163.51 (step-pop @p930 :rule scope :premises (@p929)) % 163.26/163.51 (step-pop @p931 :rule scope :premises (@p930)) % 163.26/163.51 (step-pop @p932 :rule scope :premises (@p931)) % 163.26/163.51 (step-pop @p933 :rule scope :premises (@p932)) % 163.26/163.51 (step @p708 :rule process_scope :premises (@p933) :args (@t380)) % 163.26/163.51 (step @p716 :rule and_intro :premises (@p919 @p258 @p544 @p655 @p652 @p671 @p674)) % 163.26/163.51 (step @p717 :rule modus_ponens :premises (@p716 @p708)) % 163.26/163.51 (step-pop @p934 :rule scope :premises (@p717)) % 163.26/163.51 (step-pop @p935 :rule scope :premises (@p934)) % 163.26/163.51 (step-pop @p936 :rule scope :premises (@p935)) % 163.26/163.51 (step-pop @p937 :rule scope :premises (@p936)) % 163.26/163.51 (step-pop @p938 :rule scope :premises (@p937)) % 163.26/163.51 (step-pop @p939 :rule scope :premises (@p938)) % 163.26/163.51 (step-pop @p940 :rule scope :premises (@p939)) % 163.26/163.51 (step @p718 :rule process_scope :premises (@p940) :args (@t380)) % 163.26/163.51 (step @p726 :rule implies_elim :premises (@p718)) % 163.26/163.51 (step @p727 :rule cnf_and_neg :args (@t386)) % 163.26/163.51 (step @p728 :rule resolution :premises (@p727 @p726) :args (true @t386)) % 163.26/163.51 (step @p729 :rule eq_resolve :premises (@p728 @p682)) % 163.26/163.51 (step @p730 :rule reordering :premises (@p729) :args ((or @t247 @t384 @t344 @t383 @t342 @t382 @t381 @t380))) % 163.26/163.51 (step @p731 :rule chain_m_resolution :premises (@p730 @p674 @p671 @p655 @p544 @p652 @p258 @p649 @p646 @p630 @p588 @p580 @p403 @p9 @p645 @p643 @p403 @p9 @p634 @p631 @p630 @p588 @p403 @p9 @p626 @p602 @p595 @p592 @p589 @p588 @p584 @p580 @p403 @p9 @p576 @p552 @p544) :args (@t342 (@list false false false false false false false false false false false false false false false false false true false false false false false true false false true false false false false false false true false false) (@list @t334 @t378 @t324 @t328 @t144 @t202 @t373 @t375 @t365 @t349 @t345 @t263 @t13 @t371 @t372 @t263 @t13 @t368 @t370 @t365 @t349 @t263 @t13 @t363 @t360 @t326 @t351 @t356 @t349 @t347 @t345 @t263 @t13 @t341 @t336 @t328))) % 163.26/163.51 (step @p732 :rule instantiate :premises (@p500) :args ((@list @t165))) % 163.26/163.51 (step @p733 :rule cnf_or_pos :args (@t388)) % 163.26/163.51 (step @p734 :rule reordering :premises (@p733) :args ((or @t277 @t387 (not @t388)))) % 163.26/163.51 (step @p735 :rule chain_m_resolution :premises (@p734 @p419 @p732) :args (@t387 @t157 (@list @t276 @t388))) % 163.26/163.51 (step @p736 :rule instantiate :premises (@p507) :args (@t389)) % 163.26/163.51 (step @p737 :rule cnf_or_pos :args (@t391)) % 163.26/163.51 (step @p738 :rule reordering :premises (@p737) :args ((or @t275 @t390 (not @t391)))) % 163.26/163.51 (step @p739 :rule chain_m_resolution :premises (@p738 @p422 @p736) :args (@t390 @t157 (@list @t274 @t391))) % 163.26/163.51 (step @p740 :rule cnf_or_pos :args (@t397)) % 163.26/163.51 (step @p741 :rule factoring :premises (@p740)) % 163.26/163.51 (step @p742 :rule reordering :premises (@p741) :args ((or @t205 @t275 @t395 @t272 @t396 @t385 @t394 (not @t397)))) % 163.26/163.51 (step @p743 :rule chain_m_resolution :premises (@p742 @p9 @p422 @p739 @p416 @p735 @p731 @p537) :args (@t394 @t398 (@list @t13 @t274 @t390 @t266 @t387 @t342 @t397))) % 163.26/163.51 (step @p744 :rule instantiate :premises (@p118) :args (@t260)) % 163.26/163.51 (step @p745 :rule cnf_or_pos :args (@t402)) % 163.26/163.51 (step @p746 :rule reordering :premises (@p745) :args ((or @t275 @t277 @t401 (not @t402)))) % 163.26/163.51 (step @p747 :rule chain_m_resolution :premises (@p746 @p422 @p419 @p744) :args (@t401 @t177 (@list @t274 @t276 @t402))) % 163.26/163.51 (step @p748 :rule cnf_and_pos :args (@t401 1)) % 163.26/163.51 (step @p749 :rule reordering :premises (@p748) :args ((or @t399 (not @t401)))) % 163.26/163.51 (step @p750 :rule chain_m_resolution :premises (@p749 @p747) :args (@t399 @t158 (@list @t401))) % 163.26/163.51 (step @p751 :rule instantiate :premises (@p75) :args (@t389)) % 163.26/163.51 (step @p752 :rule cnf_or_pos :args (@t405)) % 163.26/163.51 (step @p753 :rule reordering :premises (@p752) :args ((or @t275 @t404 (not @t405)))) % 163.26/163.51 (step @p754 :rule chain_m_resolution :premises (@p753 @p422 @p751) :args (@t404 @t157 (@list @t274 @t405))) % 163.26/163.51 (step @p755 :rule cnf_and_pos :args (@t404 3)) % 163.26/163.51 (step @p756 :rule reordering :premises (@p755) :args ((or @t403 (not @t404)))) % 163.26/163.51 (step @p757 :rule chain_m_resolution :premises (@p756 @p754) :args (@t403 @t158 (@list @t404))) % 163.26/163.51 (step @p758 :rule refl :args (@t406)) % 163.26/163.51 (step @p759 :rule bool-double-not-elim :args (@t407)) % 163.26/163.51 (step @p760 :rule refl :args (@t408)) % 163.26/163.51 (step @p761 :rule refl :args (@t409)) % 163.26/163.51 (step @p762 :rule nary_cong :premises (@p761 @p760 @p759 @p758) :args ((or @t409 @t408 (not @t410) @t406))) % 163.26/163.51 (assume-push @p941 @t403) % 163.26/163.51 (assume-push @p942 @t399) % 163.26/163.51 (assume-push @p943 @t410) % 163.26/163.51 (assume-push @p944 @t410) % 163.26/163.51 (assume-push @p945 @t399) % 163.26/163.51 (assume-push @p946 @t403) % 163.26/163.51 (step @p769 :rule false_intro :premises (@p943)) % 163.26/163.51 (step @p770 :rule symm :premises (@p750)) % 163.26/163.51 (step @p771 :rule symm :premises (@p757)) % 163.26/163.51 (step @p772 :rule cong :premises (@p771 @p770) :args (@t394)) % 163.26/163.51 (step @p773 :rule trans :premises (@p772 @p769)) % 163.26/163.51 (step @p774 :rule false_elim :premises (@p773)) % 163.26/163.51 (step-pop @p947 :rule scope :premises (@p774)) % 163.26/163.51 (step-pop @p948 :rule scope :premises (@p947)) % 163.26/163.51 (step-pop @p949 :rule scope :premises (@p948)) % 163.26/163.51 (step @p775 :rule process_scope :premises (@p949) :args (@t406)) % 163.26/163.51 (step @p779 :rule and_intro :premises (@p943 @p750 @p757)) % 163.26/163.51 (step @p780 :rule modus_ponens :premises (@p779 @p775)) % 163.26/163.51 (step-pop @p950 :rule scope :premises (@p780)) % 163.26/163.51 (step-pop @p951 :rule scope :premises (@p950)) % 163.26/163.51 (step-pop @p952 :rule scope :premises (@p951)) % 163.26/163.51 (step @p781 :rule process_scope :premises (@p952) :args (@t406)) % 163.26/163.51 (step @p785 :rule implies_elim :premises (@p781)) % 163.26/163.51 (step @p786 :rule cnf_and_neg :args (@t411)) % 163.26/163.51 (step @p787 :rule resolution :premises (@p786 @p785) :args (true @t411)) % 163.26/163.51 (step @p788 :rule eq_resolve :premises (@p787 @p762)) % 163.26/163.51 (step @p789 :rule reordering :premises (@p788) :args ((or @t409 @t407 @t408 @t406))) % 163.26/163.51 (step @p790 :rule chain_m_resolution :premises (@p789 @p757 @p750 @p743) :args (@t407 @t177 (@list @t403 @t399 @t394))) % 163.26/163.51 (step @p791 :rule instantiate :premises (@p500) :args (@t225)) % 163.26/163.51 (step @p792 :rule cnf_or_pos :args (@t413)) % 163.26/163.51 (step @p793 :rule reordering :premises (@p792) :args ((or @t175 @t412 (not @t413)))) % 163.26/163.51 (step @p794 :rule chain_m_resolution :premises (@p793 @p139 @p791) :args (@t412 @t157 (@list @t174 @t413))) % 163.26/163.51 (step @p795 :rule instantiate :premises (@p507) :args (@t149)) % 163.26/163.51 (step @p796 :rule cnf_or_pos :args (@t415)) % 163.26/163.51 (step @p797 :rule reordering :premises (@p796) :args ((or @t155 @t414 (not @t415)))) % 163.26/163.51 (step @p798 :rule chain_m_resolution :premises (@p797 @p96 @p795) :args (@t414 @t157 (@list @t154 @t415))) % 163.26/163.51 (step @p799 :rule cnf_or_pos :args (@t419)) % 163.26/163.51 (step @p800 :rule factoring :premises (@p799)) % 163.26/163.51 (step @p801 :rule reordering :premises (@p800) :args ((or @t205 @t155 @t353 @t417 @t418 @t410 @t416 (not @t419)))) % 163.26/163.51 (step @p802 :rule chain_m_resolution :premises (@p801 @p9 @p96 @p580 @p798 @p794 @p790 @p536) :args (@t416 @t398 (@list @t13 @t154 @t345 @t414 @t412 @t407 @t419))) % 163.26/163.51 (step @p803 :rule refl :args (@t420)) % 163.26/163.51 (step @p804 :rule bool-double-not-elim :args (@t313)) % 163.26/163.51 (step @p805 :rule refl :args (@t421)) % 163.26/163.51 (step @p806 :rule refl :args (@t422)) % 163.26/163.51 (step @p807 :rule nary_cong :premises (@p806 @p805 @p804 @p803) :args ((or @t422 @t421 (not @t314) @t420))) % 163.26/163.51 (assume-push @p953 @t416) % 163.26/163.51 (assume-push @p954 @t172) % 163.26/163.51 (assume-push @p955 @t152) % 163.26/163.51 (assume-push @p956 @t314) % 163.26/163.51 (step @p219 :rule evaluate :args (@t199)) % 163.26/163.51 (step @p812 :rule true_intro :premises (@p953)) % 163.26/163.51 (step @p813 :rule cong :premises (@p102 @p145) :args (@t313)) % 163.26/163.51 (step @p814 :rule false_intro :premises (@p956)) % 163.26/163.51 (step @p815 :rule symm :premises (@p814)) % 163.26/163.51 (step @p816 :rule trans :premises (@p815 @p813 @p812)) % 163.26/163.51 (step @p817 false :rule eq_resolve :premises (@p816 @p219)) % 163.26/163.51 (step-pop @p957 :rule scope :premises (@p817)) % 163.26/163.51 (step-pop @p958 :rule scope :premises (@p957)) % 163.26/163.51 (step-pop @p959 :rule scope :premises (@p958)) % 163.26/163.51 (step-pop @p960 :rule scope :premises (@p959)) % 163.26/163.51 (step @p818 :rule process_scope :premises (@p960) :args (false)) % 163.26/163.51 (assume-push @p961 @t152) % 163.26/163.51 (assume-push @p962 @t172) % 163.26/163.51 (assume-push @p963 @t314) % 163.26/163.51 (assume-push @p964 @t416) % 163.26/163.51 (step @p827 :rule and_intro :premises (@p964 @p145 @p102 @p963)) % 163.26/163.51 (step-pop @p965 :rule scope :premises (@p827)) % 163.26/163.51 (step-pop @p966 :rule scope :premises (@p965)) % 163.26/163.51 (step-pop @p967 :rule scope :premises (@p966)) % 163.26/163.51 (step-pop @p968 :rule scope :premises (@p967)) % 163.26/163.51 (step @p828 :rule process_scope :premises (@p968) :args (@t423)) % 163.26/163.51 (step @p833 :rule implies_elim :premises (@p828)) % 163.26/163.51 (step @p834 :rule resolution :premises (@p833 @p818) :args (true @t423)) % 163.26/163.51 (step @p835 :rule not_and :premises (@p834)) % 163.26/163.51 (step @p836 :rule eq_resolve :premises (@p835 @p807)) % 163.26/163.51 (step @p837 :rule reordering :premises (@p836) :args ((or @t422 @t313 @t421 @t420))) % 163.26/163.51 (step @p838 false :rule chain_m_resolution :premises (@p837 @p802 @p515 @p145 @p102) :args (false (@list false true false false) (@list @t416 @t313 @t172 @t152))) % 163.26/163.51 ) % 163.26/163.51 % SZS output end Proof % 163.26/163.51 % cvc5 exiting %------------------------------------------------------------------------------