%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG057+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:31 AM UTC 2026 % Result : Theorem 20.45s 20.65s % Output : Proof 20.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG057+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 14:04:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 20.45/20.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.45/20.65 --- Run --no-e-matching --full-saturate-quant at 6... % 20.45/20.65 % SZS status Theorem % 20.45/20.65 % SZS output start Proof % 20.45/20.65 ( % 20.45/20.65 (declare-sort $$unsorted 0) % 20.45/20.65 (declare-const tptp.xN $$unsorted) % 20.45/20.65 (declare-const tptp.xS $$unsorted) % 20.45/20.65 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 20.45/20.65 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.sz00 $$unsorted) % 20.45/20.65 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 20.45/20.65 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xp $$unsorted) % 20.45/20.65 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xG $$unsorted) % 20.45/20.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xF $$unsorted) % 20.45/20.65 (declare-const tptp.sz0z00 $$unsorted) % 20.45/20.65 (declare-const tptp.xC $$unsorted) % 20.45/20.65 (declare-const tptp.xR $$unsorted) % 20.45/20.65 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 20.45/20.65 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xs $$unsorted) % 20.45/20.65 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xq $$unsorted) % 20.45/20.65 (declare-const tptp.xP $$unsorted) % 20.45/20.65 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 20.45/20.65 (declare-const tptp.xA $$unsorted) % 20.45/20.65 (declare-const tptp.xB $$unsorted) % 20.45/20.65 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 20.45/20.65 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 20.45/20.65 (declare-const tptp.xt $$unsorted) % 20.45/20.65 (declare-const tptp.xD $$unsorted) % 20.45/20.65 (declare-const tptp.xE $$unsorted) % 20.45/20.65 (declare-const tptp.xH $$unsorted) % 20.45/20.65 (define @t1 () (@var "W0" $$unsorted)) % 20.45/20.65 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 20.45/20.65 (define @t3 () (@list @t1)) % 20.45/20.65 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 20.45/20.65 (define @t5 () (@var "W1" $$unsorted)) % 20.45/20.65 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 20.45/20.65 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 20.45/20.65 (define @t8 () (@list @t5)) % 20.45/20.65 (define @t9 () (= @t1 @t5)) % 20.45/20.65 (define @t10 () (and @t2 @t7)) % 20.45/20.65 (define @t11 () (@list @t1 @t5)) % 20.45/20.65 (define @t12 () (tptp.aScalar0 @t1)) % 20.45/20.65 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 20.45/20.65 (define @t14 () (tptp.aScalar0 @t5)) % 20.45/20.65 (define @t15 () (and @t12 @t14)) % 20.45/20.65 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 20.45/20.65 (define @t17 () (tptp.aScalar0 @t16)) % 20.45/20.65 (define @t18 () (forall @t11 (=> @t15 @t17))) % 20.45/20.65 (define @t19 () (tptp.smndt0 @t1)) % 20.45/20.65 (define @t20 () (@var "W2" $$unsorted)) % 20.45/20.65 (define @t21 () (tptp.sdtasdt0 @t5 @t20)) % 20.45/20.65 (define @t22 () (tptp.sdtpldt0 @t5 @t20)) % 20.45/20.65 (define @t23 () (tptp.aScalar0 @t20)) % 20.45/20.65 (define @t24 () (and @t12 @t14 @t23)) % 20.45/20.65 (define @t25 () (@list @t1 @t5 @t20)) % 20.45/20.65 (define @t26 () (tptp.sdtasdt0 @t1 @t20)) % 20.45/20.65 (define @t27 () (@var "W3" $$unsorted)) % 20.45/20.65 (define @t28 () (tptp.sdtasdt0 @t5 @t27)) % 20.45/20.65 (define @t29 () (tptp.aScalar0 @t27)) % 20.45/20.65 (define @t30 () (and @t12 @t14 @t23 @t29)) % 20.45/20.65 (define @t31 () (@list @t1 @t5 @t20 @t27)) % 20.45/20.65 (define @t32 () (tptp.smndt0 @t16)) % 20.45/20.65 (define @t33 () (tptp.smndt0 @t5)) % 20.45/20.65 (define @t34 () (tptp.sdtlseqdt0 @t1 @t5)) % 20.45/20.65 (define @t35 () (tptp.sdtlseqdt0 @t1 @t1)) % 20.45/20.65 (define @t36 () (forall @t3 (=> @t12 @t35))) % 20.45/20.65 (define @t37 () (tptp.sdtlseqdt0 @t5 @t1)) % 20.45/20.65 (define @t38 () (tptp.sdtlseqdt0 @t20 @t27)) % 20.45/20.65 (define @t39 () (tptp.sdtlseqdt0 @t26 @t28)) % 20.45/20.65 (define @t40 () (tptp.sdtlseqdt0 tptp.sz0z00 @t20)) % 20.45/20.65 (define @t41 () (and @t34 @t40 @t38)) % 20.45/20.65 (define @t42 () (=> @t41 @t39)) % 20.45/20.65 (define @t43 () (forall @t31 (=> @t30 @t42))) % 20.45/20.65 (define @t44 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 20.45/20.65 (define @t45 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 20.45/20.65 (define @t46 () (tptp.sdtasdt0 @t1 @t1)) % 20.45/20.65 (define @t47 () (tptp.sdtlseqdt0 tptp.sz0z00 @t46)) % 20.45/20.65 (define @t48 () (forall @t3 (=> @t12 @t47))) % 20.45/20.65 (define @t49 () (tptp.aVector0 @t1)) % 20.45/20.65 (define @t50 () (tptp.aDimensionOf0 @t1)) % 20.45/20.65 (define @t51 () (tptp.aDimensionOf0 @t5)) % 20.45/20.65 (define @t52 () (tptp.aVector0 @t5)) % 20.45/20.65 (define @t53 () (tptp.sziznziztdt0 @t1)) % 20.45/20.65 (define @t54 () (tptp.sziznziztdt0 @t5)) % 20.45/20.65 (define @t55 () (= @t51 tptp.sz00)) % 20.45/20.65 (define @t56 () (= @t50 @t51)) % 20.45/20.65 (define @t57 () (and @t56 (not @t55))) % 20.45/20.65 (define @t58 () (and @t49 @t52)) % 20.45/20.65 (define @t59 () (tptp.sdtasasdt0 @t1 @t5)) % 20.45/20.65 (define @t60 () (tptp.sdtasasdt0 @t1 @t1)) % 20.45/20.65 (define @t61 () (tptp.aDimensionOf0 tptp.xs)) % 20.45/20.65 (define @t62 () (tptp.aDimensionOf0 tptp.xt)) % 20.45/20.65 (define @t63 () (tptp.sziznziztdt0 tptp.xs)) % 20.45/20.65 (define @t64 () (tptp.sziznziztdt0 tptp.xt)) % 20.45/20.65 (define @t65 () (tptp.sdtlbdtrb0 tptp.xs @t61)) % 20.45/20.65 (define @t66 () (tptp.sdtlbdtrb0 tptp.xt @t62)) % 20.45/20.65 (define @t67 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 20.45/20.65 (define @t68 () (= tptp.xC @t67)) % 20.45/20.65 (define @t69 () (tptp.aScalar0 tptp.xC)) % 20.45/20.65 (define @t70 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 20.45/20.65 (define @t71 () (= tptp.xD @t70)) % 20.45/20.65 (define @t72 () (tptp.aScalar0 tptp.xD)) % 20.45/20.65 (define @t73 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 20.45/20.65 (define @t74 () (= tptp.xE @t73)) % 20.45/20.65 (define @t75 () (tptp.aScalar0 tptp.xE)) % 20.45/20.65 (define @t76 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 20.45/20.65 (define @t77 () (= tptp.xF @t76)) % 20.45/20.65 (define @t78 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 20.45/20.65 (define @t79 () (= tptp.xG @t78)) % 20.45/20.65 (define @t80 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 20.45/20.65 (define @t81 () (= tptp.xH @t80)) % 20.45/20.65 (define @t82 () (tptp.aScalar0 tptp.xH)) % 20.45/20.65 (define @t83 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 20.45/20.65 (define @t84 () (= tptp.xR @t83)) % 20.45/20.65 (define @t85 () (tptp.sdtasdt0 tptp.xE tptp.xH)) % 20.45/20.65 (define @t86 () (= tptp.xP @t85)) % 20.45/20.65 (define @t87 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 20.45/20.65 (define @t88 () (= tptp.xS @t87)) % 20.45/20.65 (define @t89 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 20.45/20.65 (define @t90 () (= tptp.xN @t89)) % 20.45/20.65 (define @t91 () (tptp.sdtasdt0 tptp.xC tptp.xD)) % 20.45/20.65 (define @t92 () (tptp.sdtasdt0 tptp.xE tptp.xE)) % 20.45/20.65 (define @t93 () (tptp.sdtlseqdt0 @t92 @t91)) % 20.45/20.65 (define @t94 () (tptp.sdtasdt0 tptp.xH tptp.xH)) % 20.45/20.65 (define @t95 () (tptp.sdtasdt0 @t94 @t92)) % 20.45/20.65 (define @t96 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 20.45/20.65 (define @t97 () (= @t96 @t95)) % 20.45/20.65 (define @t98 () (tptp.sdtasdt0 @t94 @t91)) % 20.45/20.65 (define @t99 () (= tptp.xN @t98)) % 20.45/20.65 (define @t100 () (tptp.sdtlseqdt0 @t96 tptp.xN)) % 20.45/20.65 (define @t101 () (not @t100)) % 20.45/20.65 (define @t102 () (not @t38)) % 20.45/20.65 (define @t103 () (not @t40)) % 20.45/20.65 (define @t104 () (not @t34)) % 20.45/20.65 (define @t105 () (not @t29)) % 20.45/20.65 (define @t106 () (not @t23)) % 20.45/20.65 (define @t107 () (not @t14)) % 20.45/20.65 (define @t108 () (not @t12)) % 20.45/20.65 (define @t109 () (or @t104 @t103 @t102 @t39)) % 20.45/20.65 (define @t110 () (or @t108 @t107 @t106 @t105)) % 20.45/20.65 (define @t111 () (or @t104 @t103 @t102)) % 20.45/20.65 (define @t112 () (tptp.sdtasasdt0 @t64 @t64)) % 20.45/20.65 (define @t113 () (tptp.sdtasasdt0 @t63 @t63)) % 20.45/20.65 (define @t114 () (tptp.sdtasdt0 @t113 @t112)) % 20.45/20.65 (define @t115 () (tptp.sdtasasdt0 @t63 @t64)) % 20.45/20.65 (define @t116 () (tptp.sdtasdt0 @t115 @t115)) % 20.45/20.65 (define @t117 () (tptp.sdtasdt0 @t65 @t66)) % 20.45/20.65 (define @t118 () (tptp.sdtasdt0 @t117 @t117)) % 20.45/20.65 (define @t119 () (tptp.aScalar0 @t118)) % 20.45/20.65 (define @t120 () (tptp.aScalar0 @t117)) % 20.45/20.65 (define @t121 () (not @t120)) % 20.45/20.65 (define @t122 () (or @t121 @t121 @t119)) % 20.45/20.65 (define @t123 () (@list false false)) % 20.45/20.65 (define @t124 () (tptp.sdtlseqdt0 @t118 @t118)) % 20.45/20.65 (define @t125 () (not @t119)) % 20.45/20.65 (define @t126 () (or @t125 @t124)) % 20.45/20.65 (define @t127 () (tptp.aScalar0 @t116)) % 20.45/20.65 (define @t128 () (tptp.aScalar0 @t115)) % 20.45/20.65 (define @t129 () (not @t128)) % 20.45/20.65 (define @t130 () (or @t129 @t129 @t127)) % 20.45/20.65 (define @t131 () (tptp.aScalar0 @t114)) % 20.45/20.65 (define @t132 () (tptp.aScalar0 @t112)) % 20.45/20.65 (define @t133 () (not @t132)) % 20.45/20.65 (define @t134 () (tptp.aScalar0 @t113)) % 20.45/20.65 (define @t135 () (not @t134)) % 20.45/20.65 (define @t136 () (or @t135 @t133 @t131)) % 20.45/20.65 (define @t137 () (tptp.sdtlseqdt0 tptp.sz0z00 @t116)) % 20.45/20.65 (define @t138 () (or @t129 @t137)) % 20.45/20.65 (define @t139 () (tptp.sdtasdt0 @t118 @t116)) % 20.45/20.65 (define @t140 () (tptp.sdtlseqdt0 @t139 (tptp.sdtasdt0 @t118 @t114))) % 20.45/20.65 (define @t141 () (tptp.sdtlseqdt0 @t116 @t114)) % 20.45/20.65 (define @t142 () (not @t141)) % 20.45/20.65 (define @t143 () (not @t137)) % 20.45/20.65 (define @t144 () (not @t124)) % 20.45/20.65 (define @t145 () (not @t131)) % 20.45/20.65 (define @t146 () (not @t127)) % 20.45/20.65 (define @t147 () (or @t125 @t125 @t146 @t145 @t144 @t143 @t142 @t140)) % 20.45/20.65 (define @t148 () (tptp.sdtasdt0 @t115 @t117)) % 20.45/20.65 (define @t149 () (tptp.sdtasdt0 @t148 @t148)) % 20.45/20.65 (assume @p1 (forall @t3 (=> @t2 true))) % 20.45/20.65 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 20.45/20.65 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 20.45/20.65 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 20.45/20.65 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 20.45/20.65 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 20.45/20.65 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 20.45/20.65 (assume @p8 (forall @t3 (=> @t12 true))) % 20.45/20.65 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 20.45/20.65 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 20.45/20.65 (assume @p11 @t18) % 20.45/20.65 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t19)))) % 20.45/20.65 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t19) tptp.sz0z00) (= (tptp.sdtpldt0 @t19 @t1) tptp.sz0z00) (= (tptp.smndt0 @t19) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 20.45/20.65 (assume @p14 (forall @t25 (=> @t24 (and (= (tptp.sdtpldt0 @t13 @t20) (tptp.sdtpldt0 @t1 @t22)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t16 @t20) (tptp.sdtasdt0 @t1 @t21)) (= @t16 (tptp.sdtasdt0 @t5 @t1)))))) % 20.45/20.65 (assume @p15 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t16 @t26)) (= (tptp.sdtasdt0 @t13 @t20) (tptp.sdtpldt0 @t26 @t21)))))) % 20.45/20.65 (assume @p16 (forall @t31 (=> @t30 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t20 @t27)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t26 (tptp.sdtasdt0 @t1 @t27)) (tptp.sdtpldt0 @t21 @t28)))))) % 20.45/20.65 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t33) @t32) (= (tptp.sdtasdt0 @t19 @t5) @t32))))) % 20.45/20.65 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t19 @t33) @t16)))) % 20.45/20.65 (assume @p19 (forall @t11 (=> @t15 (=> @t34 true)))) % 20.45/20.65 (assume @p20 @t36) % 20.45/20.65 (assume @p21 (forall @t11 (=> @t15 (=> (and @t34 @t37) @t9)))) % 20.45/20.65 (assume @p22 (forall @t25 (=> @t24 (=> (and @t34 (tptp.sdtlseqdt0 @t5 @t20)) (tptp.sdtlseqdt0 @t1 @t20))))) % 20.45/20.65 (assume @p23 (forall @t31 (=> @t30 (=> (and @t34 @t38) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t5 @t27)))))) % 20.45/20.65 (assume @p24 @t43) % 20.45/20.65 (assume @p25 (forall @t11 (=> @t15 (or @t34 @t37)))) % 20.45/20.65 (assume @p26 (forall @t11 (=> @t15 (=> (and @t45 @t44) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16)))))) % 20.45/20.65 (assume @p27 @t48) % 20.45/20.65 (assume @p28 (forall @t11 (=> @t15 (=> (and @t45 @t44 (= @t46 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 20.45/20.65 (assume @p29 (forall @t3 (=> @t49 true))) % 20.45/20.65 (assume @p30 (forall @t3 (=> @t49 (tptp.aNaturalNumber0 @t50)))) % 20.45/20.65 (assume @p31 (forall @t11 (=> (and @t49 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 20.45/20.65 (assume @p32 (forall @t3 (=> @t49 (=> (not (= @t50 tptp.sz00)) (forall @t8 (= (= @t5 @t53) (and @t52 (= (tptp.szszuzczcdt0 @t51) @t50) (forall (@list @t20) (=> (tptp.aNaturalNumber0 @t20) (= (tptp.sdtlbdtrb0 @t5 @t20) (tptp.sdtlbdtrb0 @t1 @t20))))))))))) % 20.45/20.65 (assume @p33 (forall @t11 (=> @t58 (=> @t57 (= (tptp.aDimensionOf0 @t53) (tptp.aDimensionOf0 @t54)))))) % 20.45/20.65 (assume @p34 (forall @t11 (=> @t58 (=> @t56 (tptp.aScalar0 @t59))))) % 20.45/20.65 (assume @p35 (forall @t11 (=> @t58 (=> (and @t56 @t55) (= @t59 tptp.sz0z00))))) % 20.45/20.65 (assume @p36 (forall @t11 (=> @t58 (=> @t57 (= @t59 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t53 @t54) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t50) (tptp.sdtlbdtrb0 @t5 @t51)))))))) % 20.45/20.65 (assume @p37 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz0z00 @t60)))) % 20.45/20.65 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 20.45/20.65 (assume @p39 (forall @t11 (=> @t58 (=> @t56 (=> (tptp.iLess0 @t50 @t61) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t59 @t59) (tptp.sdtasdt0 @t60 (tptp.sdtasasdt0 @t5 @t5)))))))) % 20.45/20.65 (assume @p40 (= @t61 @t62)) % 20.45/20.65 (assume @p41 (not (= @t61 tptp.sz00))) % 20.45/20.65 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t61) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t63))) % 20.45/20.65 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t62) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t64))) % 20.45/20.65 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t65))) % 20.45/20.65 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t66))) % 20.45/20.65 (assume @p46 (and @t69 @t68)) % 20.45/20.65 (assume @p47 (and @t72 @t71)) % 20.45/20.65 (assume @p48 (and @t75 @t74)) % 20.45/20.65 (assume @p49 (and (tptp.aScalar0 tptp.xF) @t77)) % 20.45/20.65 (assume @p50 (and (tptp.aScalar0 tptp.xG) @t79)) % 20.45/20.65 (assume @p51 (and @t82 @t81)) % 20.45/20.65 (assume @p52 (and (tptp.aScalar0 tptp.xR) @t84)) % 20.45/20.65 (assume @p53 (and (tptp.aScalar0 tptp.xP) @t86)) % 20.45/20.65 (assume @p54 (and (tptp.aScalar0 tptp.xS) @t88)) % 20.45/20.65 (assume @p55 (and (tptp.aScalar0 tptp.xN) @t90)) % 20.45/20.65 (assume @p56 @t93) % 20.45/20.65 (assume @p57 @t97) % 20.45/20.65 (assume @p58 @t99) % 20.45/20.65 (assume @p59 @t101) % 20.45/20.65 (assume @p60 true) % 20.45/20.65 (step @p61 :rule evaluate :args ((= false true))) % 20.45/20.65 (step @p62 :rule aci_norm :args ((= (or @t110 @t109) (or @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t39)))) % 20.45/20.65 (step @p63 :rule aci_norm :args ((= (or @t111 @t39) @t109))) % 20.45/20.65 (step @p64 :rule refl :args (@t39)) % 20.45/20.65 (step @p65 :rule aci_norm :args ((= (or @t104 (or @t103 @t102)) @t111))) % 20.45/20.65 (step @p66 :rule bool-and-de-morgan :args (@t40 @t38 true)) % 20.45/20.65 (step @p67 :rule refl :args (@t104)) % 20.45/20.65 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t104 (not (and @t40 @t38))))) % 20.45/20.65 (step @p69 :rule bool-and-de-morgan :args (@t34 @t40 (and @t38))) % 20.45/20.65 (step @p70 :rule trans :premises (@p69 @p68)) % 20.45/20.65 (step @p71 :rule trans :premises (@p70 @p65)) % 20.45/20.65 (step @p72 :rule nary_cong :premises (@p71 @p64) :args ((or (not @t41) @t39))) % 20.45/20.65 (step @p73 :rule trans :premises (@p72 @p63)) % 20.45/20.65 (step @p74 :rule bool-impl-elim :args (@t41 @t39)) % 20.45/20.65 (step @p75 :rule trans :premises (@p74 @p73)) % 20.45/20.65 (step @p76 :rule aci_norm :args ((= (or @t108 (or @t107 (or @t106 @t105))) @t110))) % 20.45/20.65 (step @p77 :rule bool-and-de-morgan :args (@t23 @t29 true)) % 20.45/20.65 (step @p78 :rule refl :args (@t107)) % 20.45/20.65 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t107 (not (and @t23 @t29))))) % 20.45/20.65 (step @p80 :rule bool-and-de-morgan :args (@t14 @t23 (and @t29))) % 20.45/20.65 (step @p81 :rule trans :premises (@p80 @p79)) % 20.45/20.65 (step @p82 :rule refl :args (@t108)) % 20.45/20.65 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t108 (not (and @t14 @t23 @t29))))) % 20.45/20.65 (step @p84 :rule bool-and-de-morgan :args (@t12 @t14 (and @t23 @t29))) % 20.45/20.65 (step @p85 :rule trans :premises (@p84 @p83)) % 20.45/20.65 (step @p86 :rule trans :premises (@p85 @p76)) % 20.45/20.65 (step @p87 :rule nary_cong :premises (@p86 @p75) :args ((or (not @t30) @t42))) % 20.45/20.65 (step @p88 :rule trans :premises (@p87 @p62)) % 20.45/20.65 (step @p89 :rule bool-impl-elim :args (@t30 @t42)) % 20.45/20.65 (step @p90 :rule trans :premises (@p89 @p88)) % 20.45/20.65 (step @p91 :rule cong :premises (@p90) :args (@t43)) % 20.45/20.65 (step @p92 :rule eq_resolve :premises (@p24 @p91)) % 20.45/20.65 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t118 @t118 @t116 @t114))) % 20.45/20.65 (step @p94 :rule bool-impl-elim :args (@t12 @t35)) % 20.45/20.65 (step @p95 :rule cong :premises (@p94) :args (@t36)) % 20.45/20.65 (step @p96 :rule eq_resolve :premises (@p20 @p95)) % 20.45/20.65 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t118))) % 20.45/20.65 (step @p98 :rule aci_norm :args ((= (or (or @t108 @t107) @t17) (or @t108 @t107 @t17)))) % 20.45/20.65 (step @p99 :rule refl :args (@t17)) % 20.45/20.65 (step @p100 :rule bool-and-de-morgan :args (@t12 @t14 true)) % 20.45/20.65 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t15) @t17))) % 20.45/20.65 (step @p102 :rule trans :premises (@p101 @p98)) % 20.45/20.65 (step @p103 :rule bool-impl-elim :args (@t15 @t17)) % 20.45/20.65 (step @p104 :rule trans :premises (@p103 @p102)) % 20.45/20.65 (step @p105 :rule cong :premises (@p104) :args (@t18)) % 20.45/20.65 (step @p106 :rule eq_resolve :premises (@p11 @p105)) % 20.45/20.65 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t117 @t117))) % 20.45/20.65 (step @p108 :rule and_elim :premises (@p45) :args (1)) % 20.45/20.65 (step @p109 :rule and_elim :premises (@p44) :args (1)) % 20.45/20.65 (step @p110 :rule cong :premises (@p109 @p108) :args (@t80)) % 20.45/20.65 (step @p111 :rule refl :args (tptp.xH)) % 20.45/20.65 (step @p112 :rule cong :premises (@p111 @p110) :args (@t81)) % 20.45/20.65 (step @p113 :rule and_elim :premises (@p51) :args (1)) % 20.45/20.65 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 20.45/20.65 (step @p115 :rule cong :premises (@p114) :args (@t82)) % 20.45/20.65 (step @p116 :rule and_elim :premises (@p51) :args (0)) % 20.45/20.65 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 20.45/20.65 (step @p118 :rule cnf_or_pos :args (@t122)) % 20.45/20.65 (step @p119 :rule factoring :premises (@p118)) % 20.45/20.65 (step @p120 :rule reordering :premises (@p119) :args ((or @t121 @t119 (not @t122)))) % 20.45/20.65 (step @p121 :rule chain_m_resolution :premises (@p120 @p117 @p107) :args (@t119 @t123 (@list @t120 @t122))) % 20.45/20.65 (step @p122 :rule cnf_or_pos :args (@t126)) % 20.45/20.65 (step @p123 :rule reordering :premises (@p122) :args ((or @t125 @t124 (not @t126)))) % 20.45/20.65 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p97) :args (@t124 @t123 (@list @t119 @t126))) % 20.45/20.65 (step @p125 :rule instantiate :premises (@p106) :args ((@list @t115 @t115))) % 20.45/20.65 (step @p126 :rule and_elim :premises (@p43) :args (3)) % 20.45/20.65 (step @p127 :rule and_elim :premises (@p42) :args (3)) % 20.45/20.65 (step @p128 :rule cong :premises (@p127 @p126) :args (@t73)) % 20.45/20.65 (step @p129 :rule refl :args (tptp.xE)) % 20.45/20.65 (step @p130 :rule cong :premises (@p129 @p128) :args (@t74)) % 20.45/20.65 (step @p131 :rule and_elim :premises (@p48) :args (1)) % 20.45/20.65 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 20.45/20.65 (step @p133 :rule cong :premises (@p132) :args (@t75)) % 20.45/20.65 (step @p134 :rule and_elim :premises (@p48) :args (0)) % 20.45/20.65 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 20.45/20.65 (step @p136 :rule cnf_or_pos :args (@t130)) % 20.45/20.65 (step @p137 :rule factoring :premises (@p136)) % 20.45/20.65 (step @p138 :rule reordering :premises (@p137) :args ((or @t129 @t127 (not @t130)))) % 20.45/20.65 (step @p139 :rule chain_m_resolution :premises (@p138 @p135 @p125) :args (@t127 @t123 (@list @t128 @t130))) % 20.45/20.65 (step @p140 :rule instantiate :premises (@p106) :args ((@list @t113 @t112))) % 20.45/20.65 (step @p141 :rule cong :premises (@p126 @p126) :args (@t70)) % 20.45/20.65 (step @p142 :rule refl :args (tptp.xD)) % 20.45/20.65 (step @p143 :rule cong :premises (@p142 @p141) :args (@t71)) % 20.45/20.65 (step @p144 :rule and_elim :premises (@p47) :args (1)) % 20.45/20.65 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 20.45/20.65 (step @p146 :rule cong :premises (@p145) :args (@t72)) % 20.45/20.65 (step @p147 :rule and_elim :premises (@p47) :args (0)) % 20.45/20.65 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 20.45/20.65 (step @p149 :rule cong :premises (@p127 @p127) :args (@t67)) % 20.45/20.65 (step @p150 :rule refl :args (tptp.xC)) % 20.45/20.65 (step @p151 :rule cong :premises (@p150 @p149) :args (@t68)) % 20.45/20.65 (step @p152 :rule and_elim :premises (@p46) :args (1)) % 20.45/20.65 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 20.45/20.65 (step @p154 :rule cong :premises (@p153) :args (@t69)) % 20.45/20.65 (step @p155 :rule and_elim :premises (@p46) :args (0)) % 20.45/20.65 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 20.45/20.65 (step @p157 :rule cnf_or_pos :args (@t136)) % 20.45/20.65 (step @p158 :rule reordering :premises (@p157) :args ((or @t135 @t133 @t131 (not @t136)))) % 20.45/20.65 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p148 @p140) :args (@t131 (@list false false false) (@list @t134 @t132 @t136))) % 20.45/20.65 (step @p160 :rule bool-impl-elim :args (@t12 @t47)) % 20.45/20.65 (step @p161 :rule cong :premises (@p160) :args (@t48)) % 20.45/20.65 (step @p162 :rule eq_resolve :premises (@p27 @p161)) % 20.45/20.65 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t115))) % 20.45/20.65 (step @p164 :rule cnf_or_pos :args (@t138)) % 20.45/20.65 (step @p165 :rule reordering :premises (@p164) :args ((or @t129 @t137 (not @t138)))) % 20.45/20.65 (step @p166 :rule chain_m_resolution :premises (@p165 @p135 @p163) :args (@t137 @t123 (@list @t128 @t138))) % 20.45/20.65 (step @p167 :rule cong :premises (@p153 @p145) :args (@t91)) % 20.45/20.65 (step @p168 :rule cong :premises (@p132 @p132) :args (@t92)) % 20.45/20.65 (step @p169 :rule cong :premises (@p168 @p167) :args (@t93)) % 20.45/20.65 (step @p170 :rule eq_resolve :premises (@p56 @p169)) % 20.45/20.65 (step @p171 :rule cnf_or_pos :args (@t147)) % 20.45/20.65 (step @p172 :rule factoring :premises (@p171)) % 20.45/20.65 (step @p173 :rule reordering :premises (@p172) :args ((or @t142 @t143 @t145 @t146 @t125 @t144 @t140 (not @t147)))) % 20.45/20.65 (step @p174 :rule chain_m_resolution :premises (@p173 @p170 @p166 @p159 @p139 @p121 @p124 @p93) :args (@t140 (@list false false false false false false false) (@list @t141 @t137 @t131 @t127 @t119 @t124 @t147))) % 20.45/20.65 (step @p175 :rule true_intro :premises (@p174)) % 20.45/20.65 (step @p176 :rule cong :premises (@p114 @p114) :args (@t94)) % 20.45/20.65 (step @p177 :rule cong :premises (@p176 @p167) :args (@t98)) % 20.45/20.65 (step @p178 :rule cong :premises (@p109 @p109) :args (@t76)) % 20.45/20.65 (step @p179 :rule refl :args (tptp.xF)) % 20.45/20.65 (step @p180 :rule cong :premises (@p179 @p178) :args (@t77)) % 20.45/20.65 (step @p181 :rule and_elim :premises (@p49) :args (1)) % 20.45/20.65 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 20.45/20.65 (step @p183 :rule cong :premises (@p182 @p145) :args (@t87)) % 20.45/20.65 (step @p184 :rule refl :args (tptp.xS)) % 20.45/20.65 (step @p185 :rule cong :premises (@p184 @p183) :args (@t88)) % 20.45/20.65 (step @p186 :rule and_elim :premises (@p54) :args (1)) % 20.45/20.65 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 20.45/20.65 (step @p188 :rule cong :premises (@p108 @p108) :args (@t78)) % 20.45/20.65 (step @p189 :rule refl :args (tptp.xG)) % 20.45/20.65 (step @p190 :rule cong :premises (@p189 @p188) :args (@t79)) % 20.45/20.65 (step @p191 :rule and_elim :premises (@p50) :args (1)) % 20.45/20.65 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 20.45/20.65 (step @p193 :rule cong :premises (@p153 @p192) :args (@t83)) % 20.45/20.65 (step @p194 :rule refl :args (tptp.xR)) % 20.45/20.65 (step @p195 :rule cong :premises (@p194 @p193) :args (@t84)) % 20.45/20.65 (step @p196 :rule and_elim :premises (@p52) :args (1)) % 20.45/20.65 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 20.45/20.65 (step @p198 :rule cong :premises (@p197 @p187) :args (@t89)) % 20.45/20.65 (step @p199 :rule refl :args (tptp.xN)) % 20.45/20.65 (step @p200 :rule cong :premises (@p199 @p198) :args (@t90)) % 20.45/20.65 (step @p201 :rule and_elim :premises (@p55) :args (1)) % 20.45/20.65 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 20.45/20.65 (step @p203 :rule cong :premises (@p202 @p177) :args (@t99)) % 20.45/20.65 (step @p204 :rule eq_resolve :premises (@p58 @p203)) % 20.45/20.65 (step @p205 :rule eq-symm :args (@t149 @t139)) % 20.45/20.65 (step @p206 :rule cong :premises (@p176 @p168) :args (@t95)) % 20.45/20.65 (step @p207 :rule cong :premises (@p132 @p114) :args (@t85)) % 20.45/20.65 (step @p208 :rule refl :args (tptp.xP)) % 20.45/20.65 (step @p209 :rule cong :premises (@p208 @p207) :args (@t86)) % 20.45/20.65 (step @p210 :rule and_elim :premises (@p53) :args (1)) % 20.45/20.65 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 20.45/20.65 (step @p212 :rule cong :premises (@p211 @p211) :args (@t96)) % 20.45/20.65 (step @p213 :rule cong :premises (@p212 @p206) :args (@t97)) % 20.45/20.65 (step @p214 :rule trans :premises (@p213 @p205)) % 20.45/20.65 (step @p215 :rule eq_resolve :premises (@p57 @p214)) % 20.45/20.65 (step @p216 :rule symm :premises (@p215)) % 20.45/20.65 (step @p217 :rule cong :premises (@p216 @p204) :args ((tptp.sdtlseqdt0 @t149 (tptp.sdtasdt0 (tptp.sdtasdt0 @t113 (tptp.sdtasdt0 @t66 @t66)) (tptp.sdtasdt0 (tptp.sdtasdt0 @t65 @t65) @t112))))) % 20.45/20.65 (step @p218 :rule cong :premises (@p212 @p202) :args (@t100)) % 20.45/20.65 (step @p219 :rule cong :premises (@p218) :args (@t101)) % 20.45/20.65 (step @p220 :rule eq_resolve :premises (@p59 @p219)) % 20.45/20.65 (step @p221 :rule false_intro :premises (@p220)) % 20.45/20.65 (step @p222 :rule symm :premises (@p221)) % 20.45/20.65 (step @p223 :rule trans :premises (@p222 @p217 @p175)) % 20.45/20.65 (step @p224 false :rule eq_resolve :premises (@p223 @p61)) % 20.45/20.65 ) % 20.45/20.65 % SZS output end Proof % 20.45/20.65 % cvc5 exiting %------------------------------------------------------------------------------