%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG063+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 : n028.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 08:45:32 AM UTC 2026 % Result : Theorem 35.48s 35.79s % Output : Proof 33.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG063+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:04:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.48/35.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.48/35.79 --- Run --no-e-matching --full-saturate-quant at 6... % 35.48/35.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.48/35.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.48/35.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.48/35.79 % SZS status Theorem % 35.48/35.79 % SZS output start Proof % 35.48/35.79 ( % 35.48/35.79 (declare-sort $$unsorted 0) % 35.48/35.79 (declare-const tptp.xN $$unsorted) % 35.48/35.79 (declare-const tptp.xS $$unsorted) % 35.48/35.79 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 35.48/35.79 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 35.48/35.79 (declare-const tptp.xq $$unsorted) % 35.48/35.79 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.xp $$unsorted) % 35.48/35.79 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.sz0z00 $$unsorted) % 35.48/35.79 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 35.48/35.79 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.xB $$unsorted) % 35.48/35.79 (declare-const tptp.sz00 $$unsorted) % 35.48/35.79 (declare-const tptp.xA $$unsorted) % 35.48/35.79 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.48/35.79 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.xt $$unsorted) % 35.48/35.79 (declare-const tptp.xs $$unsorted) % 35.48/35.79 (declare-const tptp.xG $$unsorted) % 35.48/35.79 (declare-const tptp.xC $$unsorted) % 35.48/35.79 (declare-const tptp.xD $$unsorted) % 35.48/35.79 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.48/35.79 (declare-const tptp.xE $$unsorted) % 35.48/35.79 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.48/35.79 (declare-const tptp.xF $$unsorted) % 35.48/35.79 (declare-const tptp.xH $$unsorted) % 35.48/35.79 (declare-const tptp.xR $$unsorted) % 35.48/35.79 (declare-const tptp.xP $$unsorted) % 35.48/35.79 (define @t1 () (@var "W0" $$unsorted)) % 35.48/35.79 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 35.48/35.79 (define @t3 () (@list @t1)) % 35.48/35.79 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 35.48/35.79 (define @t5 () (@var "W1" $$unsorted)) % 35.48/35.79 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 35.48/35.79 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 35.48/35.79 (define @t8 () (@list @t5)) % 35.48/35.79 (define @t9 () (= @t1 @t5)) % 35.48/35.79 (define @t10 () (and @t2 @t7)) % 35.48/35.79 (define @t11 () (@list @t1 @t5)) % 35.48/35.79 (define @t12 () (tptp.aScalar0 @t1)) % 35.48/35.79 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 35.48/35.79 (define @t14 () (tptp.aScalar0 @t13)) % 35.48/35.79 (define @t15 () (tptp.aScalar0 @t5)) % 35.48/35.79 (define @t16 () (and @t12 @t15)) % 35.48/35.79 (define @t17 () (forall @t11 (=> @t16 @t14))) % 35.48/35.79 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 35.48/35.79 (define @t19 () (tptp.aScalar0 @t18)) % 35.48/35.79 (define @t20 () (forall @t11 (=> @t16 @t19))) % 35.48/35.79 (define @t21 () (tptp.smndt0 @t1)) % 35.48/35.79 (define @t22 () (tptp.aScalar0 @t21)) % 35.48/35.79 (define @t23 () (forall @t3 (=> @t12 @t22))) % 35.48/35.79 (define @t24 () (tptp.smndt0 tptp.sz0z00)) % 35.48/35.79 (define @t25 () (tptp.smndt0 @t21)) % 35.48/35.79 (define @t26 () (tptp.sdtpldt0 @t21 @t1)) % 35.48/35.79 (define @t27 () (tptp.sdtpldt0 @t1 @t21)) % 35.48/35.79 (define @t28 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 35.48/35.79 (define @t29 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 35.48/35.79 (define @t30 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 35.48/35.79 (define @t31 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 35.48/35.79 (define @t32 () (and (= @t31 @t1) (= @t30 @t1) (= @t29 tptp.sz0z00) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 @t1) (= @t24 tptp.sz0z00))) % 35.48/35.79 (define @t33 () (=> @t12 @t32)) % 35.48/35.79 (define @t34 () (forall @t3 @t33)) % 35.48/35.79 (define @t35 () (@var "W2" $$unsorted)) % 35.48/35.79 (define @t36 () (tptp.sdtasdt0 @t5 @t35)) % 35.48/35.79 (define @t37 () (tptp.sdtpldt0 @t5 @t35)) % 35.48/35.79 (define @t38 () (and (= (tptp.sdtpldt0 @t13 @t35) (tptp.sdtpldt0 @t1 @t37)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t35) (tptp.sdtasdt0 @t1 @t36)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))) % 35.48/35.79 (define @t39 () (tptp.aScalar0 @t35)) % 35.48/35.79 (define @t40 () (and @t12 @t15 @t39)) % 35.48/35.79 (define @t41 () (@list @t1 @t5 @t35)) % 35.48/35.79 (define @t42 () (forall @t41 (=> @t40 @t38))) % 35.48/35.79 (define @t43 () (tptp.sdtasdt0 @t1 @t35)) % 35.48/35.79 (define @t44 () (@var "W3" $$unsorted)) % 35.48/35.79 (define @t45 () (tptp.sdtasdt0 @t5 @t44)) % 35.48/35.79 (define @t46 () (and @t12 @t15 @t39 (tptp.aScalar0 @t44))) % 35.48/35.79 (define @t47 () (@list @t1 @t5 @t35 @t44)) % 35.48/35.79 (define @t48 () (tptp.smndt0 @t18)) % 35.48/35.79 (define @t49 () (tptp.smndt0 @t5)) % 35.48/35.79 (define @t50 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.48/35.79 (define @t51 () (tptp.sdtlseqdt0 @t5 @t1)) % 35.48/35.79 (define @t52 () (tptp.sdtlseqdt0 @t35 @t44)) % 35.48/35.79 (define @t53 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 35.48/35.79 (define @t54 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 35.48/35.79 (define @t55 () (tptp.sdtasdt0 @t1 @t1)) % 35.48/35.79 (define @t56 () (tptp.aVector0 @t1)) % 35.48/35.79 (define @t57 () (tptp.aDimensionOf0 @t1)) % 35.48/35.79 (define @t58 () (tptp.aDimensionOf0 @t5)) % 35.48/35.79 (define @t59 () (tptp.aVector0 @t5)) % 35.48/35.79 (define @t60 () (tptp.sziznziztdt0 @t1)) % 35.48/35.79 (define @t61 () (tptp.sziznziztdt0 @t5)) % 35.48/35.79 (define @t62 () (= @t58 tptp.sz00)) % 35.48/35.79 (define @t63 () (= @t57 @t58)) % 35.48/35.79 (define @t64 () (and @t63 (not @t62))) % 35.48/35.79 (define @t65 () (and @t56 @t59)) % 35.48/35.79 (define @t66 () (tptp.sdtasasdt0 @t1 @t5)) % 35.48/35.79 (define @t67 () (tptp.sdtasasdt0 @t1 @t1)) % 35.48/35.79 (define @t68 () (tptp.aDimensionOf0 tptp.xs)) % 35.48/35.79 (define @t69 () (tptp.aDimensionOf0 tptp.xt)) % 35.48/35.79 (define @t70 () (tptp.sziznziztdt0 tptp.xs)) % 35.48/35.79 (define @t71 () (tptp.sziznziztdt0 tptp.xt)) % 35.48/35.79 (define @t72 () (tptp.sdtlbdtrb0 tptp.xs @t68)) % 35.48/35.79 (define @t73 () (tptp.sdtlbdtrb0 tptp.xt @t69)) % 35.48/35.79 (define @t74 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 35.48/35.79 (define @t75 () (= tptp.xC @t74)) % 35.48/35.79 (define @t76 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 35.48/35.79 (define @t77 () (= tptp.xD @t76)) % 35.48/35.79 (define @t78 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 35.48/35.79 (define @t79 () (= tptp.xF @t78)) % 35.48/35.79 (define @t80 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 35.48/35.79 (define @t81 () (= tptp.xG @t80)) % 35.48/35.79 (define @t82 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 35.48/35.79 (define @t83 () (= tptp.xR @t82)) % 35.48/35.79 (define @t84 () (tptp.aScalar0 tptp.xR)) % 35.48/35.79 (define @t85 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 35.48/35.79 (define @t86 () (= tptp.xS @t85)) % 35.48/35.79 (define @t87 () (tptp.aScalar0 tptp.xS)) % 35.48/35.79 (define @t88 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 35.48/35.79 (define @t89 () (= tptp.xN @t88)) % 35.48/35.79 (define @t90 () (tptp.aScalar0 tptp.xN)) % 35.48/35.79 (define @t91 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 35.48/35.79 (define @t92 () (tptp.smndt0 tptp.xS)) % 35.48/35.79 (define @t93 () (tptp.smndt0 tptp.xN)) % 35.48/35.79 (define @t94 () (tptp.sdtpldt0 @t93 @t91)) % 35.48/35.79 (define @t95 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 35.48/35.79 (define @t96 () (tptp.sdtpldt0 @t95 @t93)) % 35.48/35.79 (define @t97 () (tptp.sdtpldt0 @t96 @t94)) % 35.48/35.79 (define @t98 () (tptp.sdtpldt0 tptp.xR @t92)) % 35.48/35.79 (define @t99 () (tptp.sdtasdt0 @t98 @t98)) % 35.48/35.79 (define @t100 () (= @t99 @t97)) % 35.48/35.79 (define @t101 () (tptp.sdtpldt0 @t91 @t93)) % 35.48/35.79 (define @t102 () (tptp.sdtpldt0 @t96 @t101)) % 35.48/35.79 (define @t103 () (= @t99 @t102)) % 35.48/35.79 (define @t104 () (tptp.sdtpldt0 @t95 @t91)) % 35.48/35.79 (define @t105 () (tptp.sdtpldt0 @t99 tptp.xN)) % 35.48/35.79 (define @t106 () (tptp.sdtpldt0 @t105 tptp.xN)) % 35.48/35.79 (define @t107 () (not (= @t106 @t104))) % 35.48/35.79 (define @t108 () (tptp.sdtasdt0 (tptp.sdtasdt0 @t72 @t72) (tptp.sdtasasdt0 @t71 @t71))) % 35.48/35.79 (define @t109 () (tptp.smndt0 @t108)) % 35.48/35.79 (define @t110 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t70 @t70) (tptp.sdtasdt0 @t73 @t73))) % 35.48/35.79 (define @t111 () (tptp.sdtpldt0 @t110 @t109)) % 35.48/35.79 (define @t112 () (tptp.sdtasdt0 @t111 @t111)) % 35.48/35.79 (define @t113 () (tptp.sdtasdt0 @t108 @t108)) % 35.48/35.79 (define @t114 () (tptp.sdtasdt0 @t110 @t108)) % 35.48/35.79 (define @t115 () (tptp.smndt0 @t114)) % 35.48/35.79 (define @t116 () (tptp.sdtasdt0 @t110 @t110)) % 35.48/35.79 (define @t117 () (tptp.sdtpldt0 @t116 @t115)) % 35.48/35.79 (define @t118 () (tptp.sdtpldt0 @t117 (tptp.sdtpldt0 @t115 @t113))) % 35.48/35.79 (define @t119 () (= @t104 @t106)) % 35.48/35.79 (define @t120 () (= tptp.sz0z00 @t24)) % 35.48/35.79 (define @t121 () (and (= @t1 @t31) (= @t1 @t30) (= tptp.sz0z00 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= @t1 @t25) @t120)) % 35.48/35.79 (define @t122 () (@list @t114)) % 35.48/35.79 (define @t123 () (tptp.sdtpldt0 @t115 @t114)) % 35.48/35.79 (define @t124 () (= tptp.sz0z00 @t123)) % 35.48/35.79 (define @t125 () (tptp.sdtpldt0 @t114 @t115)) % 35.48/35.79 (define @t126 () (= tptp.sz0z00 @t125)) % 35.48/35.79 (define @t127 () (and (= @t114 (tptp.sdtpldt0 @t114 tptp.sz0z00)) (= @t114 (tptp.sdtpldt0 tptp.sz0z00 @t114)) (= tptp.sz0z00 (tptp.sdtasdt0 @t114 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t114)) @t126 @t124 (= @t114 (tptp.smndt0 @t115)) @t120)) % 35.48/35.79 (define @t128 () (tptp.aScalar0 @t114)) % 35.48/35.79 (define @t129 () (not @t128)) % 35.48/35.79 (define @t130 () (or @t129 @t127)) % 35.48/35.79 (define @t131 () (@list false false)) % 35.48/35.79 (define @t132 () (not @t127)) % 35.48/35.79 (define @t133 () (@list false)) % 35.48/35.79 (define @t134 () (@list @t127)) % 35.48/35.79 (define @t135 () (not @t39)) % 35.48/35.79 (define @t136 () (not @t15)) % 35.48/35.79 (define @t137 () (not @t12)) % 35.48/35.79 (define @t138 () (or @t137 @t136 @t135 @t38)) % 35.48/35.79 (define @t139 () (or @t137 @t136 @t135)) % 35.48/35.79 (define @t140 () (or @t137 @t136)) % 35.48/35.79 (define @t141 () (not @t16)) % 35.48/35.79 (define @t142 () (tptp.aScalar0 @t116)) % 35.48/35.79 (define @t143 () (tptp.aScalar0 @t110)) % 35.48/35.79 (define @t144 () (not @t143)) % 35.48/35.79 (define @t145 () (or @t144 @t144 @t142)) % 35.48/35.79 (define @t146 () (tptp.aScalar0 @t113)) % 35.48/35.79 (define @t147 () (tptp.aScalar0 @t108)) % 35.48/35.79 (define @t148 () (not @t147)) % 35.48/35.79 (define @t149 () (or @t148 @t148 @t146)) % 35.48/35.79 (define @t150 () (tptp.aScalar0 @t115)) % 35.48/35.79 (define @t151 () (or @t129 @t150)) % 35.48/35.79 (define @t152 () (tptp.sdtasdt0 @t113 @t116)) % 35.48/35.79 (define @t153 () (tptp.sdtasdt0 @t116 @t113)) % 35.48/35.79 (define @t154 () (= @t153 @t152)) % 35.48/35.79 (define @t155 () (tptp.sdtasdt0 @t113 @t115)) % 35.48/35.79 (define @t156 () (tptp.sdtpldt0 @t113 @t116)) % 35.48/35.79 (define @t157 () (tptp.sdtpldt0 @t116 @t113)) % 35.48/35.79 (define @t158 () (= @t157 @t156)) % 35.48/35.79 (define @t159 () (tptp.sdtpldt0 @t113 @t115)) % 35.48/35.79 (define @t160 () (tptp.sdtpldt0 @t157 @t115)) % 35.48/35.79 (define @t161 () (and (= @t160 (tptp.sdtpldt0 @t116 @t159)) @t158 (= (tptp.sdtasdt0 @t153 @t115) (tptp.sdtasdt0 @t116 @t155)) @t154)) % 35.48/35.79 (define @t162 () (not @t150)) % 35.48/35.79 (define @t163 () (not @t146)) % 35.48/35.79 (define @t164 () (not @t142)) % 35.48/35.79 (define @t165 () (or @t164 @t163 @t162 @t161)) % 35.48/35.79 (define @t166 () (@list false false false false)) % 35.48/35.79 (define @t167 () (tptp.aScalar0 @t157)) % 35.48/35.79 (define @t168 () (or @t164 @t163 @t167)) % 35.48/35.79 (define @t169 () (@list false false false)) % 35.48/35.79 (define @t170 () (tptp.sdtasdt0 @t115 @t157)) % 35.48/35.79 (define @t171 () (tptp.sdtasdt0 @t157 @t115)) % 35.48/35.79 (define @t172 () (tptp.sdtpldt0 @t115 @t157)) % 35.48/35.79 (define @t173 () (= @t160 @t172)) % 35.48/35.79 (define @t174 () (and (= (tptp.sdtpldt0 @t160 @t115) (tptp.sdtpldt0 @t157 (tptp.sdtpldt0 @t115 @t115))) @t173 (= (tptp.sdtasdt0 @t171 @t115) (tptp.sdtasdt0 @t157 (tptp.sdtasdt0 @t115 @t115))) (= @t171 @t170))) % 35.48/35.79 (define @t175 () (not @t167)) % 35.48/35.79 (define @t176 () (or @t175 @t162 @t162 @t174)) % 35.48/35.79 (define @t177 () (tptp.sdtasdt0 @t117 @t113)) % 35.48/35.79 (define @t178 () (= @t177 (tptp.sdtasdt0 @t113 @t117))) % 35.48/35.79 (define @t179 () (= (tptp.sdtasdt0 @t177 @t115) (tptp.sdtasdt0 @t117 @t155))) % 35.48/35.79 (define @t180 () (tptp.sdtpldt0 @t113 @t117)) % 35.48/35.79 (define @t181 () (tptp.sdtpldt0 @t117 @t113)) % 35.48/35.79 (define @t182 () (= @t181 @t180)) % 35.48/35.79 (define @t183 () (tptp.sdtpldt0 @t181 @t115)) % 35.48/35.79 (define @t184 () (tptp.sdtpldt0 @t117 @t159)) % 35.48/35.79 (define @t185 () (and (= @t183 @t184) @t182 @t179 @t178)) % 35.48/35.79 (define @t186 () (tptp.aScalar0 @t117)) % 35.48/35.79 (define @t187 () (not @t186)) % 35.48/35.79 (define @t188 () (or @t187 @t163 @t162 @t185)) % 35.48/35.79 (define @t189 () (forall @t41 @t138)) % 35.48/35.79 (define @t190 () (= @t184 @t183)) % 35.48/35.79 (define @t191 () (and @t190 @t182 @t179 @t178)) % 35.48/35.79 (define @t192 () (or @t187 @t163 @t162 @t191)) % 35.48/35.79 (define @t193 () (@list @t189)) % 35.48/35.79 (define @t194 () (or @t164 @t162 @t186)) % 35.48/35.79 (define @t195 () (not @t191)) % 35.48/35.79 (define @t196 () (@list @t191)) % 35.48/35.79 (define @t197 () (tptp.aScalar0 @t109)) % 35.48/35.79 (define @t198 () (or @t148 @t197)) % 35.48/35.79 (define @t199 () (tptp.aScalar0 @t111)) % 35.48/35.79 (define @t200 () (not @t197)) % 35.48/35.79 (define @t201 () (or @t144 @t200 @t199)) % 35.48/35.79 (define @t202 () (tptp.aScalar0 @t112)) % 35.48/35.79 (define @t203 () (not @t199)) % 35.48/35.79 (define @t204 () (or @t203 @t203 @t202)) % 35.48/35.79 (define @t205 () (tptp.sdtasdt0 @t114 @t112)) % 35.48/35.79 (define @t206 () (tptp.sdtasdt0 @t112 @t114)) % 35.48/35.79 (define @t207 () (= @t206 @t205)) % 35.48/35.79 (define @t208 () (tptp.sdtpldt0 @t114 @t112)) % 35.48/35.79 (define @t209 () (tptp.sdtpldt0 @t112 @t114)) % 35.48/35.79 (define @t210 () (= @t209 @t208)) % 35.48/35.79 (define @t211 () (tptp.sdtpldt0 @t209 @t114)) % 35.48/35.79 (define @t212 () (and (= @t211 (tptp.sdtpldt0 @t112 (tptp.sdtpldt0 @t114 @t114))) @t210 (= (tptp.sdtasdt0 @t206 @t114) (tptp.sdtasdt0 @t112 (tptp.sdtasdt0 @t114 @t114))) @t207)) % 35.48/35.79 (define @t213 () (not @t202)) % 35.48/35.79 (define @t214 () (or @t213 @t129 @t129 @t212)) % 35.48/35.79 (define @t215 () (tptp.smndt0 @t157)) % 35.48/35.79 (define @t216 () (= @t157 (tptp.sdtpldt0 tptp.sz0z00 @t157))) % 35.48/35.79 (define @t217 () (and (= @t157 (tptp.sdtpldt0 @t157 tptp.sz0z00)) @t216 (= tptp.sz0z00 (tptp.sdtasdt0 @t157 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t157)) (= tptp.sz0z00 (tptp.sdtpldt0 @t157 @t215)) (= tptp.sz0z00 (tptp.sdtpldt0 @t215 @t157)) (= @t157 (tptp.smndt0 @t215)) @t120)) % 35.48/35.79 (define @t218 () (or @t175 @t217)) % 35.48/35.79 (define @t219 () (tptp.aScalar0 @t160)) % 35.48/35.79 (define @t220 () (or @t175 @t162 @t219)) % 35.48/35.79 (define @t221 () (tptp.smndt0 @t160)) % 35.48/35.79 (define @t222 () (tptp.sdtpldt0 @t160 tptp.sz0z00)) % 35.48/35.79 (define @t223 () (= @t160 @t222)) % 35.48/35.79 (define @t224 () (and @t223 (= @t160 (tptp.sdtpldt0 tptp.sz0z00 @t160)) (= tptp.sz0z00 (tptp.sdtasdt0 @t160 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t160)) (= tptp.sz0z00 (tptp.sdtpldt0 @t160 @t221)) (= tptp.sz0z00 (tptp.sdtpldt0 @t221 @t160)) (= @t160 (tptp.smndt0 @t221)) @t120)) % 35.48/35.79 (define @t225 () (not @t219)) % 35.48/35.79 (define @t226 () (or @t225 @t224)) % 35.48/35.79 (define @t227 () (= (tptp.sdtasdt0 @t152 @t115) (tptp.sdtasdt0 @t113 (tptp.sdtasdt0 @t116 @t115)))) % 35.48/35.79 (define @t228 () (tptp.sdtpldt0 @t156 @t115)) % 35.48/35.79 (define @t229 () (and (= @t228 @t180) (= @t156 @t157) @t227 (= @t152 @t153))) % 35.48/35.79 (define @t230 () (or @t163 @t164 @t162 @t229)) % 35.48/35.79 (define @t231 () (= @t180 @t228)) % 35.48/35.79 (define @t232 () (and @t231 @t158 @t227 @t154)) % 35.48/35.79 (define @t233 () (or @t163 @t164 @t162 @t232)) % 35.48/35.79 (define @t234 () (= (tptp.sdtasdt0 @t205 @t114) (tptp.sdtasdt0 @t114 @t206))) % 35.48/35.79 (define @t235 () (tptp.sdtpldt0 @t208 @t114)) % 35.48/35.79 (define @t236 () (= @t235 (tptp.sdtpldt0 @t114 @t209))) % 35.48/35.79 (define @t237 () (and @t236 (= @t208 @t209) @t234 (= @t205 @t206))) % 35.48/35.79 (define @t238 () (or @t129 @t213 @t129 @t237)) % 35.48/35.79 (define @t239 () (and @t236 @t210 @t234 @t207)) % 35.48/35.79 (define @t240 () (or @t129 @t213 @t129 @t239)) % 35.48/35.79 (define @t241 () (tptp.aScalar0 @t181)) % 35.48/35.79 (define @t242 () (or @t187 @t163 @t241)) % 35.48/35.79 (define @t243 () (tptp.sdtasdt0 @t181 @t115)) % 35.48/35.79 (define @t244 () (tptp.sdtasdt0 @t115 @t114)) % 35.48/35.79 (define @t245 () (tptp.sdtpldt0 @t183 @t114)) % 35.48/35.79 (define @t246 () (= @t245 (tptp.sdtpldt0 @t181 @t123))) % 35.48/35.79 (define @t247 () (and @t246 (= @t183 (tptp.sdtpldt0 @t115 @t181)) (= (tptp.sdtasdt0 @t243 @t114) (tptp.sdtasdt0 @t181 @t244)) (= @t243 (tptp.sdtasdt0 @t115 @t181)))) % 35.48/35.79 (define @t248 () (not @t241)) % 35.48/35.79 (define @t249 () (or @t248 @t162 @t129 @t247)) % 35.48/35.79 (define @t250 () (tptp.sdtasdt0 @t114 @t115)) % 35.48/35.79 (define @t251 () (tptp.sdtpldt0 @t114 @t172)) % 35.48/35.79 (define @t252 () (tptp.sdtpldt0 @t125 @t157)) % 35.48/35.79 (define @t253 () (= @t252 @t251)) % 35.48/35.79 (define @t254 () (and @t253 (= @t125 @t123) (= (tptp.sdtasdt0 @t250 @t157) (tptp.sdtasdt0 @t114 @t170)) (= @t250 @t244))) % 35.48/35.79 (define @t255 () (or @t129 @t162 @t175 @t254)) % 35.48/35.79 (define @t256 () (not @t253)) % 35.48/35.79 (define @t257 () (not @t236)) % 35.48/35.79 (define @t258 () (not @t246)) % 35.48/35.79 (define @t259 () (not @t231)) % 35.48/35.79 (define @t260 () (not @t223)) % 35.48/35.79 (define @t261 () (not @t216)) % 35.48/35.79 (define @t262 () (not @t190)) % 35.48/35.79 (define @t263 () (not @t182)) % 35.48/35.79 (define @t264 () (not @t210)) % 35.48/35.79 (define @t265 () (not @t173)) % 35.48/35.79 (define @t266 () (not @t158)) % 35.48/35.79 (define @t267 () (not @t124)) % 35.48/35.79 (define @t268 () (not @t126)) % 35.48/35.79 (define @t269 () (= @t157 @t211)) % 35.48/35.79 (define @t270 () (= @t112 @t184)) % 35.48/35.79 (define @t271 () (not @t270)) % 35.48/35.79 (define @t272 () (= @t118 @t112)) % 35.48/35.79 (define @t273 () (not @t272)) % 35.48/35.79 (define @t274 () (not @t269)) % 35.48/35.79 (define @t275 () (tptp.sdtpldt0 @t118 @t114)) % 35.48/35.79 (define @t276 () (and @t253 @t256)) % 35.48/35.79 (assume @p1 (forall @t3 (=> @t2 true))) % 35.48/35.79 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 35.48/35.79 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 35.48/35.79 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 35.48/35.79 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 35.48/35.79 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.48/35.79 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 35.48/35.79 (assume @p8 (forall @t3 (=> @t12 true))) % 35.48/35.79 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 35.48/35.79 (assume @p10 @t17) % 35.48/35.79 (assume @p11 @t20) % 35.48/35.79 (assume @p12 @t23) % 35.48/35.79 (assume @p13 @t34) % 35.48/35.79 (assume @p14 @t42) % 35.48/35.79 (assume @p15 (forall @t41 (=> @t40 (and (= (tptp.sdtasdt0 @t1 @t37) (tptp.sdtpldt0 @t18 @t43)) (= (tptp.sdtasdt0 @t13 @t35) (tptp.sdtpldt0 @t43 @t36)))))) % 35.48/35.79 (assume @p16 (forall @t47 (=> @t46 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t35 @t44)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t43 (tptp.sdtasdt0 @t1 @t44)) (tptp.sdtpldt0 @t36 @t45)))))) % 35.48/35.79 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t49) @t48) (= (tptp.sdtasdt0 @t21 @t5) @t48))))) % 35.48/35.79 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t21 @t49) @t18)))) % 35.48/35.79 (assume @p19 (forall @t11 (=> @t16 (=> @t50 true)))) % 35.48/35.79 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.48/35.79 (assume @p21 (forall @t11 (=> @t16 (=> (and @t50 @t51) @t9)))) % 35.48/35.79 (assume @p22 (forall @t41 (=> @t40 (=> (and @t50 (tptp.sdtlseqdt0 @t5 @t35)) (tptp.sdtlseqdt0 @t1 @t35))))) % 35.48/35.79 (assume @p23 (forall @t47 (=> @t46 (=> (and @t50 @t52) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t35) (tptp.sdtpldt0 @t5 @t44)))))) % 35.48/35.79 (assume @p24 (forall @t47 (=> @t46 (=> (and @t50 (tptp.sdtlseqdt0 tptp.sz0z00 @t35) @t52) (tptp.sdtlseqdt0 @t43 @t45))))) % 35.48/35.79 (assume @p25 (forall @t11 (=> @t16 (or @t50 @t51)))) % 35.48/35.79 (assume @p26 (forall @t11 (=> @t16 (=> (and @t54 @t53) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 35.48/35.79 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t55)))) % 35.48/35.79 (assume @p28 (forall @t11 (=> @t16 (=> (and @t54 @t53 (= @t55 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 35.48/35.79 (assume @p29 (forall @t3 (=> @t56 true))) % 35.48/35.79 (assume @p30 (forall @t3 (=> @t56 (tptp.aNaturalNumber0 @t57)))) % 35.48/35.79 (assume @p31 (forall @t11 (=> (and @t56 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 35.48/35.79 (assume @p32 (forall @t3 (=> @t56 (=> (not (= @t57 tptp.sz00)) (forall @t8 (= (= @t5 @t60) (and @t59 (= (tptp.szszuzczcdt0 @t58) @t57) (forall (@list @t35) (=> (tptp.aNaturalNumber0 @t35) (= (tptp.sdtlbdtrb0 @t5 @t35) (tptp.sdtlbdtrb0 @t1 @t35))))))))))) % 35.48/35.79 (assume @p33 (forall @t11 (=> @t65 (=> @t64 (= (tptp.aDimensionOf0 @t60) (tptp.aDimensionOf0 @t61)))))) % 35.48/35.79 (assume @p34 (forall @t11 (=> @t65 (=> @t63 (tptp.aScalar0 @t66))))) % 35.48/35.79 (assume @p35 (forall @t11 (=> @t65 (=> (and @t63 @t62) (= @t66 tptp.sz0z00))))) % 35.48/35.79 (assume @p36 (forall @t11 (=> @t65 (=> @t64 (= @t66 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t60 @t61) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t57) (tptp.sdtlbdtrb0 @t5 @t58)))))))) % 35.48/35.79 (assume @p37 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 tptp.sz0z00 @t67)))) % 35.48/35.79 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 35.48/35.79 (assume @p39 (forall @t11 (=> @t65 (=> @t63 (=> (tptp.iLess0 @t57 @t68) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t66 @t66) (tptp.sdtasdt0 @t67 (tptp.sdtasasdt0 @t5 @t5)))))))) % 35.48/35.79 (assume @p40 (= @t68 @t69)) % 35.48/35.79 (assume @p41 (not (= @t68 tptp.sz00))) % 35.48/35.79 (assume @p42 (and (tptp.aVector0 tptp.xp) (= tptp.xp @t70))) % 35.48/35.79 (assume @p43 (and (tptp.aVector0 tptp.xq) (= tptp.xq @t71))) % 35.48/35.79 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t72))) % 35.48/35.79 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t73))) % 35.48/35.79 (assume @p46 (and (tptp.aScalar0 tptp.xC) @t75)) % 35.48/35.79 (assume @p47 (and (tptp.aScalar0 tptp.xD) @t77)) % 35.48/35.79 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 35.48/35.79 (assume @p49 (and (tptp.aScalar0 tptp.xF) @t79)) % 35.48/35.79 (assume @p50 (and (tptp.aScalar0 tptp.xG) @t81)) % 35.48/35.79 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 35.48/35.79 (assume @p52 (and @t84 @t83)) % 35.48/35.79 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 35.48/35.79 (assume @p54 (and @t87 @t86)) % 35.48/35.79 (assume @p55 (and @t90 @t89)) % 35.48/35.79 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 35.48/35.79 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 35.48/35.79 (assume @p58 (and (= (tptp.sdtasdt0 tptp.xR @t92) @t93) (= (tptp.sdtasdt0 @t92 tptp.xR) @t93) (= (tptp.sdtasdt0 @t92 @t92) @t91))) % 35.48/35.79 (assume @p59 @t100) % 35.48/35.79 (assume @p60 @t103) % 35.48/35.79 (assume @p61 (= @t99 (tptp.sdtpldt0 (tptp.sdtpldt0 @t104 @t93) @t93))) % 35.48/35.79 (assume @p62 @t107) % 35.48/35.79 (assume @p63 true) % 35.48/35.79 (step @p64 :rule eq-symm :args (@t112 @t118)) % 35.48/35.79 (step @p65 :rule and_elim :premises (@p43) :args (1)) % 35.48/35.79 (step @p66 :rule cong :premises (@p65 @p65) :args (@t76)) % 35.48/35.79 (step @p67 :rule refl :args (tptp.xD)) % 35.48/35.79 (step @p68 :rule cong :premises (@p67 @p66) :args (@t77)) % 35.48/35.79 (step @p69 :rule and_elim :premises (@p47) :args (1)) % 35.48/35.79 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 35.48/35.79 (step @p71 :rule and_elim :premises (@p44) :args (1)) % 35.48/35.79 (step @p72 :rule cong :premises (@p71 @p71) :args (@t78)) % 35.48/35.79 (step @p73 :rule refl :args (tptp.xF)) % 35.48/35.79 (step @p74 :rule cong :premises (@p73 @p72) :args (@t79)) % 35.48/35.79 (step @p75 :rule and_elim :premises (@p49) :args (1)) % 35.48/35.79 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 35.48/35.79 (step @p77 :rule cong :premises (@p76 @p70) :args (@t85)) % 35.48/35.79 (step @p78 :rule refl :args (tptp.xS)) % 35.48/35.79 (step @p79 :rule cong :premises (@p78 @p77) :args (@t86)) % 35.48/35.79 (step @p80 :rule and_elim :premises (@p54) :args (1)) % 35.48/35.79 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 35.48/35.79 (step @p82 :rule cong :premises (@p81 @p81) :args (@t91)) % 35.48/35.79 (step @p83 :rule and_elim :premises (@p45) :args (1)) % 35.48/35.79 (step @p84 :rule cong :premises (@p83 @p83) :args (@t80)) % 35.48/35.79 (step @p85 :rule refl :args (tptp.xG)) % 35.48/35.79 (step @p86 :rule cong :premises (@p85 @p84) :args (@t81)) % 35.48/35.79 (step @p87 :rule and_elim :premises (@p50) :args (1)) % 35.48/35.79 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 35.48/35.79 (step @p89 :rule and_elim :premises (@p42) :args (1)) % 35.48/35.79 (step @p90 :rule cong :premises (@p89 @p89) :args (@t74)) % 35.48/35.79 (step @p91 :rule refl :args (tptp.xC)) % 35.48/35.79 (step @p92 :rule cong :premises (@p91 @p90) :args (@t75)) % 35.48/35.79 (step @p93 :rule and_elim :premises (@p46) :args (1)) % 35.48/35.79 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 35.48/35.79 (step @p95 :rule cong :premises (@p94 @p88) :args (@t82)) % 35.48/35.79 (step @p96 :rule refl :args (tptp.xR)) % 35.48/35.79 (step @p97 :rule cong :premises (@p96 @p95) :args (@t83)) % 35.48/35.79 (step @p98 :rule and_elim :premises (@p52) :args (1)) % 35.48/35.79 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 35.48/35.79 (step @p100 :rule cong :premises (@p99 @p81) :args (@t88)) % 35.48/35.79 (step @p101 :rule refl :args (tptp.xN)) % 35.48/35.79 (step @p102 :rule cong :premises (@p101 @p100) :args (@t89)) % 35.48/35.79 (step @p103 :rule and_elim :premises (@p55) :args (1)) % 35.48/35.79 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 35.48/35.79 (step @p105 :rule cong :premises (@p104) :args (@t93)) % 35.48/35.79 (step @p106 :rule cong :premises (@p105 @p82) :args (@t94)) % 35.48/35.79 (step @p107 :rule cong :premises (@p99 @p99) :args (@t95)) % 35.48/35.79 (step @p108 :rule cong :premises (@p107 @p105) :args (@t96)) % 35.48/35.79 (step @p109 :rule cong :premises (@p108 @p106) :args (@t97)) % 35.48/35.79 (step @p110 :rule cong :premises (@p81) :args (@t92)) % 35.48/35.79 (step @p111 :rule cong :premises (@p99 @p110) :args (@t98)) % 35.48/35.79 (step @p112 :rule cong :premises (@p111 @p111) :args (@t99)) % 35.48/35.79 (step @p113 :rule cong :premises (@p112 @p109) :args (@t100)) % 35.48/35.79 (step @p114 :rule trans :premises (@p113 @p64)) % 35.48/35.79 (step @p115 :rule eq_resolve 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35.48/35.80 (step @p328 :rule refl :args (@t129)) % 35.48/35.80 (step @p329 :rule refl :args (@t213)) % 35.48/35.80 (step @p330 :rule nary_cong :premises (@p328 @p329 @p328 @p327) :args (@t238)) % 35.48/35.80 (step @p331 :rule cong :premises (@p241 @p330) :args ((=> @t189 @t238))) % 35.48/35.80 (assume-push @p467 @t189) % 35.48/35.80 (step @p333 :rule instantiate :premises (@p172) :args ((@list @t114 @t112 @t114))) % 35.48/35.80 (step-pop @p468 :rule scope :premises (@p333)) % 35.48/35.80 (step @p334 :rule process_scope :premises (@p468) :args (@t238)) % 35.48/35.80 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 35.48/35.80 (step @p337 :rule implies_elim :premises (@p336)) % 35.48/35.80 (step @p338 :rule chain_m_resolution :premises (@p337 @p172) :args (@t240 @t133 @t193)) % 35.48/35.80 (step @p339 :rule cnf_or_pos :args (@t240)) % 35.48/35.80 (step @p340 :rule factoring :premises (@p339)) % 35.48/35.80 (step @p341 :rule reordering :premises (@p340) :args ((or @t129 @t213 @t239 (not @t240)))) % 35.48/35.80 (step @p342 :rule chain_m_resolution :premises (@p341 @p148 @p276 @p338) :args (@t239 @t169 (@list @t128 @t202 @t240))) % 35.48/35.80 (step @p343 :rule cnf_and_pos :args (@t239 0)) % 35.48/35.80 (step @p344 :rule reordering :premises (@p343) :args ((or @t236 (not @t239)))) % 35.48/35.80 (step @p345 :rule chain_m_resolution :premises (@p344 @p342) :args (@t236 @t133 (@list @t239))) % 35.48/35.80 (step @p346 :rule instantiate :premises (@p172) :args ((@list @t181 @t115 @t114))) % 35.48/35.80 (step @p347 :rule instantiate :premises (@p220) :args ((@list @t117 @t113))) % 35.48/35.80 (step @p348 :rule cnf_or_pos :args (@t242)) % 35.48/35.80 (step @p349 :rule reordering :premises (@p348) :args ((or @t163 @t187 @t241 (not @t242)))) % 35.48/35.80 (step @p350 :rule chain_m_resolution :premises (@p349 @p198 @p253 @p347) :args (@t241 @t169 (@list @t146 @t186 @t242))) % 35.48/35.80 (step @p351 :rule cnf_or_pos :args (@t249)) % 35.48/35.80 (step @p352 :rule reordering :premises (@p351) :args ((or @t129 @t162 @t248 @t247 (not @t249)))) % 35.48/35.80 (step @p353 :rule chain_m_resolution :premises (@p352 @p148 @p205 @p350 @p346) :args (@t247 @t166 (@list @t128 @t150 @t241 @t249))) % 35.48/35.80 (step @p354 :rule cnf_and_pos :args (@t247 0)) % 35.48/35.80 (step @p355 :rule reordering :premises (@p354) :args ((or @t246 (not @t247)))) % 35.48/35.80 (step @p356 :rule chain_m_resolution :premises (@p355 @p353) :args (@t246 @t133 (@list @t247))) % 35.48/35.80 (step @p357 :rule instantiate :premises (@p172) :args ((@list @t114 @t115 @t157))) % 35.48/35.80 (step @p358 :rule cnf_or_pos :args (@t255)) % 35.48/35.80 (step @p359 :rule reordering :premises (@p358) :args ((or @t129 @t162 @t175 @t254 (not @t255)))) % 35.48/35.80 (step @p360 :rule chain_m_resolution :premises (@p359 @p148 @p205 @p224 @p357) :args (@t254 @t166 (@list @t128 @t150 @t167 @t255))) % 35.48/35.80 (step @p361 :rule cnf_and_pos :args (@t254 0)) % 35.48/35.80 (step @p362 :rule reordering :premises (@p361) :args ((or @t253 (not @t254)))) % 35.48/35.80 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t253 @t133 (@list @t254))) % 35.48/35.80 (step @p364 :rule refl :args (@t256)) % 35.48/35.80 (step @p365 :rule refl :args (@t257)) % 35.48/35.80 (step @p366 :rule refl :args (@t258)) % 35.48/35.80 (step @p367 :rule refl :args (@t259)) % 35.48/35.80 (step @p368 :rule refl :args (@t260)) % 35.48/35.80 (step @p369 :rule refl :args (@t261)) % 35.48/35.80 (step @p370 :rule refl :args (@t262)) % 35.48/35.80 (step @p371 :rule refl :args (@t263)) % 35.48/35.80 (step @p372 :rule refl :args (@t264)) % 35.48/35.80 (step @p373 :rule refl :args (@t265)) % 35.48/35.80 (step @p374 :rule refl :args (@t266)) % 35.48/35.80 (step @p375 :rule refl :args (@t267)) % 35.48/35.80 (step @p376 :rule refl :args (@t268)) % 35.48/35.80 (step @p377 :rule bool-double-not-elim :args (@t269)) % 35.48/35.80 (step @p378 :rule refl :args (@t271)) % 35.48/35.80 (step @p379 :rule refl :args (@t273)) % 35.48/35.80 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377 @p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368 @p367 @p366 @p365 @p364) :args ((or @t273 @t271 (not @t274) @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256))) % 35.48/35.80 (assume-push @p469 @t253) % 35.48/35.80 (assume-push @p470 @t256) % 35.48/35.80 (step @p383 :rule evaluate :args ((= false true))) % 35.48/35.80 (step @p384 :rule true_intro :premises (@p363)) % 35.48/35.80 (step @p385 :rule false_intro :premises (@p128)) % 35.48/35.80 (step @p386 :rule refl :args (@t114)) % 35.48/35.80 (step @p387 :rule symm :premises (@p283)) % 35.48/35.80 (step @p388 :rule cong :premises (@p387 @p386) :args (@t235)) % 35.48/35.80 (step @p389 :rule symm :premises (@p345)) % 35.48/35.80 (step @p390 :rule cong :premises (@p115 @p386) :args (@t275)) % 35.48/35.80 (step @p391 :rule symm :premises (@p115)) % 35.48/35.80 (step @p392 :rule symm :premises (@p119)) % 35.48/35.80 (step @p393 :rule symm :premises (@p259)) % 35.48/35.80 (step @p394 :rule trans :premises (@p393 @p392)) % 35.48/35.80 (step @p395 :rule trans :premises (@p394 @p391)) % 35.48/35.80 (step @p396 :rule cong :premises (@p395 @p386) :args (@t245)) % 35.48/35.80 (step @p397 :rule symm :premises (@p356)) % 35.48/35.80 (step @p398 :rule symm :premises (@p262)) % 35.48/35.80 (step @p399 :rule symm :premises (@p322)) % 35.48/35.80 (step @p400 :rule refl :args (@t115)) % 35.48/35.80 (step @p401 :rule cong :premises (@p211 @p400) :args (@t160)) % 35.48/35.80 (step @p402 :rule trans :premises (@p401 @p399 @p398)) % 35.48/35.80 (step @p403 :rule cong :premises (@p402 @p157) :args (@t222)) % 35.48/35.80 (step @p404 :rule symm :premises (@p231)) % 35.48/35.80 (step @p405 :rule trans :premises (@p404 @p301 @p403 @p397 @p396 @p390)) % 35.48/35.80 (step @p406 :rule cong :premises (@p386 @p405) :args (@t251)) % 35.48/35.80 (step @p407 :rule trans :premises (@p406 @p389 @p388)) % 35.48/35.80 (step @p408 :rule symm :premises (@p290)) % 35.48/35.80 (step @p409 :rule refl :args (@t157)) % 35.48/35.80 (step @p410 :rule symm :premises (@p154)) % 35.48/35.80 (step @p411 :rule cong :premises (@p410 @p409) :args (@t252)) % 35.48/35.80 (step @p412 :rule trans :premises (@p411 @p408)) % 35.48/35.80 (step @p413 :rule cong :premises (@p412 @p407) :args (@t253)) % 35.48/35.80 (step @p414 :rule trans :premises (@p413 @p385)) % 35.48/35.80 (step @p415 :rule symm :premises (@p414)) % 35.48/35.80 (step @p416 :rule trans :premises (@p415 @p384)) % 35.48/35.80 (step @p417 false :rule eq_resolve :premises (@p416 @p383)) % 35.48/35.80 (step-pop @p471 :rule scope :premises (@p417)) % 35.48/35.80 (step-pop @p472 :rule scope :premises (@p471)) % 35.48/35.80 (step @p418 :rule process_scope :premises (@p472) :args (false)) % 35.48/35.80 (assume-push @p473 @t272) % 35.48/35.80 (assume-push @p474 @t270) % 35.48/35.80 (assume-push @p475 @t274) % 35.48/35.80 (assume-push @p476 @t126) % 35.48/35.80 (assume-push @p477 @t124) % 35.48/35.80 (assume-push @p478 @t158) % 35.48/35.80 (assume-push @p479 @t173) % 35.48/35.80 (assume-push @p480 @t210) % 35.48/35.80 (assume-push @p481 @t182) % 35.48/35.80 (assume-push @p482 @t190) % 35.48/35.80 (assume-push @p483 @t216) % 35.48/35.80 (assume-push @p484 @t223) % 35.48/35.80 (assume-push @p485 @t231) % 35.48/35.80 (assume-push @p486 @t246) % 35.48/35.80 (assume-push @p487 @t236) % 35.48/35.80 (assume-push @p488 @t253) % 35.48/35.80 (step @p385 :rule false_intro :premises (@p128)) % 35.48/35.80 (step @p386 :rule refl :args (@t114)) % 35.48/35.80 (step @p387 :rule symm :premises (@p283)) % 35.48/35.80 (step @p388 :rule cong :premises (@p387 @p386) :args (@t235)) % 35.48/35.80 (step @p389 :rule symm :premises (@p345)) % 35.48/35.80 (step @p390 :rule cong :premises (@p115 @p386) :args (@t275)) % 35.48/35.80 (step @p391 :rule symm :premises (@p115)) % 35.48/35.80 (step @p392 :rule symm :premises (@p119)) % 35.48/35.80 (step @p393 :rule symm :premises (@p259)) % 35.48/35.80 (step @p394 :rule trans :premises (@p393 @p392)) % 35.48/35.80 (step @p395 :rule trans :premises (@p394 @p391)) % 35.48/35.80 (step @p396 :rule cong :premises (@p395 @p386) :args (@t245)) % 35.48/35.80 (step @p397 :rule symm :premises (@p356)) % 35.48/35.80 (step @p398 :rule symm :premises (@p262)) % 35.48/35.80 (step @p399 :rule symm :premises (@p322)) % 35.48/35.80 (step @p400 :rule refl :args (@t115)) % 35.48/35.80 (step @p401 :rule cong :premises (@p211 @p400) :args (@t160)) % 35.48/35.80 (step @p402 :rule trans :premises (@p401 @p399 @p398)) % 35.48/35.80 (step @p403 :rule cong :premises (@p402 @p157) :args (@t222)) % 35.48/35.80 (step @p404 :rule symm :premises (@p231)) % 35.48/35.80 (step @p405 :rule trans :premises (@p404 @p301 @p403 @p397 @p396 @p390)) % 35.48/35.80 (step @p406 :rule cong :premises (@p386 @p405) :args (@t251)) % 35.48/35.80 (step @p407 :rule trans :premises (@p406 @p389 @p388)) % 35.48/35.80 (step @p408 :rule symm :premises (@p290)) % 35.48/35.80 (step @p409 :rule refl :args (@t157)) % 35.48/35.80 (step @p410 :rule symm :premises (@p154)) % 35.48/35.80 (step @p411 :rule cong :premises (@p410 @p409) :args (@t252)) % 35.48/35.80 (step @p412 :rule trans :premises (@p411 @p408)) % 35.48/35.80 (step @p413 :rule cong :premises (@p412 @p407) :args (@t253)) % 35.48/35.80 (step @p437 :rule trans :premises (@p413 @p385)) % 35.48/35.80 (step @p438 :rule false_elim :premises (@p437)) % 35.48/35.80 (step @p439 :rule and_intro :premises (@p363 @p438)) % 35.48/35.80 (step-pop @p489 :rule scope :premises (@p439)) % 35.48/35.80 (step-pop @p490 :rule scope :premises (@p489)) % 35.48/35.80 (step-pop @p491 :rule scope :premises (@p490)) % 35.48/35.80 (step-pop @p492 :rule scope :premises (@p491)) % 35.48/35.80 (step-pop @p493 :rule scope :premises (@p492)) % 35.48/35.80 (step-pop @p494 :rule scope :premises (@p493)) % 35.48/35.80 (step-pop @p495 :rule scope :premises (@p494)) % 35.48/35.80 (step-pop @p496 :rule scope :premises (@p495)) % 35.48/35.80 (step-pop @p497 :rule scope :premises (@p496)) % 35.48/35.80 (step-pop @p498 :rule scope :premises (@p497)) % 35.48/35.80 (step-pop @p499 :rule scope :premises (@p498)) % 35.48/35.80 (step-pop @p500 :rule scope :premises (@p499)) % 35.48/35.80 (step-pop @p501 :rule scope :premises (@p500)) % 35.48/35.80 (step-pop @p502 :rule scope :premises (@p501)) % 35.48/35.80 (step-pop @p503 :rule scope :premises (@p502)) % 35.48/35.80 (step-pop @p504 :rule scope :premises (@p503)) % 35.48/35.80 (step @p440 :rule process_scope :premises (@p504) :args (@t276)) % 35.48/35.80 (step @p457 :rule implies_elim :premises (@p440)) % 35.48/35.80 (step @p458 :rule resolution :premises (@p457 @p418) :args (true @t276)) % 35.48/35.80 (step @p459 :rule not_and :premises (@p458)) % 35.48/35.80 (step @p460 :rule eq_resolve :premises (@p459 @p380)) % 35.48/35.80 (step @p461 :rule reordering :premises (@p460) :args ((or @t269 @t273 @t271 @t268 @t267 @t266 @t265 @t264 @t262 @t263 @t261 @t260 @t259 @t258 @t257 @t256))) % 35.48/35.80 (step @p462 false :rule chain_m_resolution :premises (@p461 @p363 @p356 @p345 @p322 @p301 @p290 @p283 @p262 @p259 @p231 @p211 @p157 @p154 @p128 @p119 @p115) :args (false (@list false false false false false false false false false false false false false true false false) (@list @t253 @t246 @t236 @t231 @t223 @t216 @t210 @t182 @t190 @t173 @t158 @t124 @t126 @t269 @t270 @t272))) % 33.60/35.80 ) % 33.60/35.80 % SZS output end Proof % 33.60/35.80 % cvc5 exiting %------------------------------------------------------------------------------