%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG059+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 : n005.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 0.72s 1.02s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG059+2 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 14:04:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.72/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/1.02 % SZS status Theorem % 0.72/1.02 % SZS output start Proof % 0.72/1.02 ( % 0.72/1.02 (declare-sort $$unsorted 0) % 0.72/1.02 (declare-const tptp.xN $$unsorted) % 0.72/1.02 (declare-const tptp.xS $$unsorted) % 0.72/1.02 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.72/1.02 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.sz00 $$unsorted) % 0.72/1.02 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.72/1.02 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xp $$unsorted) % 0.72/1.02 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xG $$unsorted) % 0.72/1.02 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xF $$unsorted) % 0.72/1.02 (declare-const tptp.sz0z00 $$unsorted) % 0.72/1.02 (declare-const tptp.xC $$unsorted) % 0.72/1.02 (declare-const tptp.xR $$unsorted) % 0.72/1.02 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.72/1.02 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xs $$unsorted) % 0.72/1.02 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xq $$unsorted) % 0.72/1.02 (declare-const tptp.xP $$unsorted) % 0.72/1.02 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.72/1.02 (declare-const tptp.xA $$unsorted) % 0.72/1.02 (declare-const tptp.xB $$unsorted) % 0.72/1.02 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.72/1.02 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.72/1.02 (declare-const tptp.xt $$unsorted) % 0.72/1.02 (declare-const tptp.xD $$unsorted) % 0.72/1.02 (declare-const tptp.xE $$unsorted) % 0.72/1.02 (declare-const tptp.xH $$unsorted) % 0.72/1.02 (define @t1 () (@var "W0" $$unsorted)) % 0.72/1.02 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.72/1.02 (define @t3 () (@list @t1)) % 0.72/1.02 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.72/1.02 (define @t5 () (@var "W1" $$unsorted)) % 0.72/1.02 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.72/1.02 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.72/1.02 (define @t8 () (@list @t5)) % 0.72/1.02 (define @t9 () (= @t1 @t5)) % 0.72/1.02 (define @t10 () (and @t2 @t7)) % 0.72/1.02 (define @t11 () (@list @t1 @t5)) % 0.72/1.02 (define @t12 () (tptp.aScalar0 @t1)) % 0.72/1.02 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.72/1.02 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.72/1.02 (define @t15 () (tptp.aScalar0 @t5)) % 0.72/1.02 (define @t16 () (and @t12 @t15)) % 0.72/1.02 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.72/1.02 (define @t18 () (tptp.smndt0 @t1)) % 0.72/1.02 (define @t19 () (tptp.aScalar0 @t18)) % 0.72/1.02 (define @t20 () (forall @t3 (=> @t12 @t19))) % 0.72/1.02 (define @t21 () (tptp.smndt0 tptp.sz0z00)) % 0.72/1.02 (define @t22 () (tptp.smndt0 @t18)) % 0.72/1.02 (define @t23 () (tptp.sdtpldt0 @t18 @t1)) % 0.72/1.02 (define @t24 () (tptp.sdtpldt0 @t1 @t18)) % 0.72/1.02 (define @t25 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.72/1.02 (define @t26 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.72/1.02 (define @t27 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.72/1.02 (define @t28 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.72/1.02 (define @t29 () (and (= @t28 @t1) (= @t27 @t1) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 tptp.sz0z00) (= @t23 tptp.sz0z00) (= @t22 @t1) (= @t21 tptp.sz0z00))) % 0.72/1.02 (define @t30 () (=> @t12 @t29)) % 0.72/1.02 (define @t31 () (forall @t3 @t30)) % 0.72/1.02 (define @t32 () (@var "W2" $$unsorted)) % 0.72/1.02 (define @t33 () (tptp.sdtasdt0 @t5 @t32)) % 0.72/1.02 (define @t34 () (tptp.sdtpldt0 @t5 @t32)) % 0.72/1.02 (define @t35 () (and (= (tptp.sdtpldt0 @t14 @t32) (tptp.sdtpldt0 @t1 @t34)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t32) (tptp.sdtasdt0 @t1 @t33)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))) % 0.72/1.02 (define @t36 () (tptp.aScalar0 @t32)) % 0.72/1.02 (define @t37 () (and @t12 @t15 @t36)) % 0.72/1.02 (define @t38 () (@list @t1 @t5 @t32)) % 0.72/1.02 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.72/1.02 (define @t40 () (tptp.sdtasdt0 @t1 @t32)) % 0.72/1.02 (define @t41 () (@var "W3" $$unsorted)) % 0.72/1.02 (define @t42 () (tptp.sdtasdt0 @t5 @t41)) % 0.72/1.02 (define @t43 () (and @t12 @t15 @t36 (tptp.aScalar0 @t41))) % 0.72/1.02 (define @t44 () (@list @t1 @t5 @t32 @t41)) % 0.72/1.02 (define @t45 () (tptp.smndt0 @t17)) % 0.72/1.02 (define @t46 () (tptp.sdtasdt0 @t18 @t5)) % 0.72/1.02 (define @t47 () (tptp.smndt0 @t5)) % 0.72/1.02 (define @t48 () (tptp.sdtasdt0 @t1 @t47)) % 0.72/1.02 (define @t49 () (and (= @t48 @t45) (= @t46 @t45))) % 0.72/1.02 (define @t50 () (=> @t16 @t49)) % 0.72/1.02 (define @t51 () (forall @t11 @t50)) % 0.72/1.02 (define @t52 () (tptp.sdtasdt0 @t18 @t47)) % 0.72/1.02 (define @t53 () (=> @t16 (= @t52 @t17))) % 0.72/1.02 (define @t54 () (forall @t11 @t53)) % 0.72/1.02 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.72/1.02 (define @t56 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.72/1.02 (define @t57 () (tptp.sdtlseqdt0 @t32 @t41)) % 0.72/1.02 (define @t58 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.72/1.02 (define @t59 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.72/1.02 (define @t60 () (tptp.sdtasdt0 @t1 @t1)) % 0.72/1.02 (define @t61 () (tptp.aVector0 @t1)) % 0.72/1.02 (define @t62 () (tptp.aDimensionOf0 @t1)) % 0.72/1.02 (define @t63 () (tptp.aDimensionOf0 @t5)) % 0.72/1.02 (define @t64 () (tptp.aVector0 @t5)) % 0.72/1.02 (define @t65 () (tptp.sziznziztdt0 @t1)) % 0.72/1.02 (define @t66 () (tptp.sziznziztdt0 @t5)) % 0.72/1.02 (define @t67 () (= @t63 tptp.sz00)) % 0.72/1.02 (define @t68 () (= @t62 @t63)) % 0.72/1.02 (define @t69 () (and @t68 (not @t67))) % 0.72/1.02 (define @t70 () (and @t61 @t64)) % 0.72/1.02 (define @t71 () (tptp.sdtasasdt0 @t1 @t5)) % 0.72/1.02 (define @t72 () (tptp.sdtasasdt0 @t1 @t1)) % 0.72/1.02 (define @t73 () (tptp.aDimensionOf0 tptp.xs)) % 0.72/1.02 (define @t74 () (tptp.aDimensionOf0 tptp.xt)) % 0.72/1.02 (define @t75 () (tptp.aScalar0 tptp.xR)) % 0.72/1.02 (define @t76 () (tptp.aScalar0 tptp.xS)) % 0.72/1.02 (define @t77 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 0.72/1.02 (define @t78 () (= tptp.xN @t77)) % 0.72/1.02 (define @t79 () (tptp.smndt0 tptp.xS)) % 0.72/1.02 (define @t80 () (tptp.sdtasdt0 @t79 tptp.xR)) % 0.72/1.02 (define @t81 () (= @t80 (tptp.smndt0 tptp.xN))) % 0.72/1.02 (define @t82 () (= tptp.sz0z00 @t21)) % 0.72/1.02 (define @t83 () (and (= @t1 @t28) (= @t1 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= tptp.sz0z00 @t24) (= tptp.sz0z00 @t23) (= @t1 @t22) @t82)) % 0.72/1.02 (define @t84 () (@list tptp.xR)) % 0.72/1.02 (define @t85 () (tptp.smndt0 tptp.xR)) % 0.72/1.02 (define @t86 () (tptp.smndt0 @t85)) % 0.72/1.02 (define @t87 () (= tptp.xR @t86)) % 0.72/1.02 (define @t88 () (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR @t85)) (= tptp.sz0z00 (tptp.sdtpldt0 @t85 tptp.xR)) @t87 @t82)) % 0.72/1.02 (define @t89 () (not @t75)) % 0.72/1.02 (define @t90 () (or @t89 @t88)) % 0.72/1.02 (define @t91 () (@list false false)) % 0.72/1.02 (define @t92 () (@list false)) % 0.72/1.02 (define @t93 () (@list tptp.xS)) % 0.72/1.02 (define @t94 () (tptp.smndt0 @t79)) % 0.72/1.02 (define @t95 () (= tptp.xS @t94)) % 0.72/1.02 (define @t96 () (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) % 0.72/1.02 (define @t97 () (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) % 0.72/1.02 (define @t98 () (and (= tptp.xS @t97) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 @t96) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS @t79)) (= tptp.sz0z00 (tptp.sdtpldt0 @t79 tptp.xS)) @t95 @t82)) % 0.72/1.02 (define @t99 () (not @t76)) % 0.72/1.02 (define @t100 () (or @t99 @t98)) % 0.72/1.02 (define @t101 () (and (= @t45 @t48) (= @t45 @t46))) % 0.72/1.02 (define @t102 () (not @t15)) % 0.72/1.02 (define @t103 () (not @t12)) % 0.72/1.02 (define @t104 () (or @t103 @t102 @t101)) % 0.72/1.02 (define @t105 () (or @t103 @t102)) % 0.72/1.02 (define @t106 () (not @t16)) % 0.72/1.02 (define @t107 () (tptp.sdtasdt0 tptp.xS tptp.xR)) % 0.72/1.02 (define @t108 () (tptp.smndt0 @t107)) % 0.72/1.02 (define @t109 () (= @t108 (tptp.sdtasdt0 tptp.xS @t85))) % 0.72/1.02 (define @t110 () (and @t109 (= @t108 @t80))) % 0.72/1.02 (define @t111 () (or @t99 @t89 @t110)) % 0.72/1.02 (define @t112 () (forall @t11 @t104)) % 0.72/1.02 (define @t113 () (= @t80 @t108)) % 0.72/1.02 (define @t114 () (and @t109 @t113)) % 0.72/1.02 (define @t115 () (or @t99 @t89 @t114)) % 0.72/1.02 (define @t116 () (@list false false false)) % 0.72/1.02 (define @t117 () (= @t17 @t52)) % 0.72/1.02 (define @t118 () (tptp.aScalar0 @t85)) % 0.72/1.02 (define @t119 () (or @t89 @t118)) % 0.72/1.02 (define @t120 () (tptp.aScalar0 @t79)) % 0.72/1.02 (define @t121 () (or @t99 @t120)) % 0.72/1.02 (define @t122 () (tptp.sdtasdt0 @t94 @t86)) % 0.72/1.02 (define @t123 () (tptp.sdtasdt0 @t79 @t85)) % 0.72/1.02 (define @t124 () (= @t123 @t122)) % 0.72/1.02 (define @t125 () (not @t118)) % 0.72/1.02 (define @t126 () (not @t120)) % 0.72/1.02 (define @t127 () (or @t126 @t125 @t124)) % 0.72/1.02 (define @t128 () (not @t36)) % 0.72/1.02 (define @t129 () (or @t103 @t102 @t128)) % 0.72/1.02 (define @t130 () (= @t77 @t107)) % 0.72/1.02 (define @t131 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.72/1.02 (define @t132 () (and (= (tptp.sdtpldt0 @t131 tptp.sz0z00) (tptp.sdtpldt0 tptp.xR @t97)) (= @t131 (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 @t77 tptp.sz0z00) (tptp.sdtasdt0 tptp.xR @t96)) @t130)) % 0.72/1.02 (define @t133 () (not @t13)) % 0.72/1.02 (define @t134 () (or @t89 @t99 @t133 @t132)) % 0.72/1.02 (define @t135 () (and @t78 @t87 @t95 @t113 @t130 @t124)) % 0.72/1.02 (assume @p1 (forall @t3 (=> @t2 true))) % 0.72/1.02 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.72/1.02 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.72/1.02 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.72/1.02 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.72/1.02 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.72/1.02 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.72/1.02 (assume @p8 (forall @t3 (=> @t12 true))) % 0.72/1.02 (assume @p9 @t13) % 0.72/1.02 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.72/1.02 (assume @p11 (forall @t11 (=> @t16 (tptp.aScalar0 @t17)))) % 0.72/1.02 (assume @p12 @t20) % 0.72/1.02 (assume @p13 @t31) % 0.72/1.02 (assume @p14 @t39) % 0.72/1.02 (assume @p15 (forall @t38 (=> @t37 (and (= (tptp.sdtasdt0 @t1 @t34) (tptp.sdtpldt0 @t17 @t40)) (= (tptp.sdtasdt0 @t14 @t32) (tptp.sdtpldt0 @t40 @t33)))))) % 0.72/1.02 (assume @p16 (forall @t44 (=> @t43 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t32 @t41)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t40 (tptp.sdtasdt0 @t1 @t41)) (tptp.sdtpldt0 @t33 @t42)))))) % 0.72/1.02 (assume @p17 @t51) % 0.72/1.02 (assume @p18 @t54) % 0.72/1.02 (assume @p19 (forall @t11 (=> @t16 (=> @t55 true)))) % 0.72/1.02 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.72/1.02 (assume @p21 (forall @t11 (=> @t16 (=> (and @t55 @t56) @t9)))) % 0.72/1.02 (assume @p22 (forall @t38 (=> @t37 (=> (and @t55 (tptp.sdtlseqdt0 @t5 @t32)) (tptp.sdtlseqdt0 @t1 @t32))))) % 0.72/1.02 (assume @p23 (forall @t44 (=> @t43 (=> (and @t55 @t57) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t32) (tptp.sdtpldt0 @t5 @t41)))))) % 0.72/1.02 (assume @p24 (forall @t44 (=> @t43 (=> (and @t55 (tptp.sdtlseqdt0 tptp.sz0z00 @t32) @t57) (tptp.sdtlseqdt0 @t40 @t42))))) % 0.72/1.02 (assume @p25 (forall @t11 (=> @t16 (or @t55 @t56)))) % 0.72/1.02 (assume @p26 (forall @t11 (=> @t16 (=> (and @t59 @t58) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17)))))) % 0.72/1.02 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t60)))) % 0.72/1.02 (assume @p28 (forall @t11 (=> @t16 (=> (and @t59 @t58 (= @t60 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.72/1.02 (assume @p29 (forall @t3 (=> @t61 true))) % 0.72/1.02 (assume @p30 (forall @t3 (=> @t61 (tptp.aNaturalNumber0 @t62)))) % 0.72/1.02 (assume @p31 (forall @t11 (=> (and @t61 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.72/1.02 (assume @p32 (forall @t3 (=> @t61 (=> (not (= @t62 tptp.sz00)) (forall @t8 (= (= @t5 @t65) (and @t64 (= (tptp.szszuzczcdt0 @t63) @t62) (forall (@list @t32) (=> (tptp.aNaturalNumber0 @t32) (= (tptp.sdtlbdtrb0 @t5 @t32) (tptp.sdtlbdtrb0 @t1 @t32))))))))))) % 0.72/1.02 (assume @p33 (forall @t11 (=> @t70 (=> @t69 (= (tptp.aDimensionOf0 @t65) (tptp.aDimensionOf0 @t66)))))) % 0.72/1.02 (assume @p34 (forall @t11 (=> @t70 (=> @t68 (tptp.aScalar0 @t71))))) % 0.72/1.02 (assume @p35 (forall @t11 (=> @t70 (=> (and @t68 @t67) (= @t71 tptp.sz0z00))))) % 0.72/1.02 (assume @p36 (forall @t11 (=> @t70 (=> @t69 (= @t71 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t65 @t66) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t62) (tptp.sdtlbdtrb0 @t5 @t63)))))))) % 0.72/1.02 (assume @p37 (forall @t3 (=> @t61 (tptp.sdtlseqdt0 tptp.sz0z00 @t72)))) % 0.72/1.02 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.72/1.02 (assume @p39 (forall @t11 (=> @t70 (=> @t68 (=> (tptp.iLess0 @t62 @t73) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t71 @t71) (tptp.sdtasdt0 @t72 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.72/1.02 (assume @p40 (= @t73 @t74)) % 0.72/1.02 (assume @p41 (not (= @t73 tptp.sz00))) % 0.72/1.02 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t73) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.72/1.02 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t74) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.72/1.02 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t73)))) % 0.72/1.02 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t74)))) % 0.72/1.02 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.72/1.02 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.72/1.02 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.72/1.02 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.72/1.02 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.72/1.02 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.72/1.02 (assume @p52 (and @t75 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.72/1.02 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.72/1.02 (assume @p54 (and @t76 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.72/1.02 (assume @p55 (and (tptp.aScalar0 tptp.xN) @t78)) % 0.72/1.02 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.72/1.02 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 0.72/1.02 (assume @p58 (not @t81)) % 0.72/1.02 (assume @p59 true) % 0.72/1.02 (step @p60 :rule and_elim :premises (@p55) :args (1)) % 0.72/1.02 (step @p61 :rule bool-impl-elim :args (@t12 @t83)) % 0.72/1.02 (step @p62 :rule cong :premises (@p61) :args ((forall @t3 (=> @t12 @t83)))) % 0.72/1.02 (step @p63 :rule eq-symm :args (@t21 tptp.sz0z00)) % 0.72/1.02 (step @p64 :rule eq-symm :args (@t22 @t1)) % 0.72/1.02 (step @p65 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.72/1.02 (step @p66 :rule eq-symm :args (@t24 tptp.sz0z00)) % 0.72/1.02 (step @p67 :rule eq-symm :args (@t25 tptp.sz0z00)) % 0.72/1.02 (step @p68 :rule eq-symm :args (@t26 tptp.sz0z00)) % 0.72/1.02 (step @p69 :rule eq-symm :args (@t27 @t1)) % 0.72/1.02 (step @p70 :rule eq-symm :args (@t28 @t1)) % 0.72/1.02 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63) :args (@t29)) % 0.72/1.02 (step @p72 :rule refl :args (@t12)) % 0.72/1.02 (step @p73 :rule cong :premises (@p72 @p71) :args (@t30)) % 0.72/1.02 (step @p74 :rule cong :premises (@p73) :args (@t31)) % 0.72/1.02 (step @p75 :rule trans :premises (@p74 @p62)) % 0.72/1.02 (step @p76 :rule eq_resolve :premises (@p13 @p75)) % 0.72/1.02 (step @p77 :rule instantiate :premises (@p76) :args (@t84)) % 0.72/1.02 (step @p78 :rule and_elim :premises (@p52) :args (0)) % 0.72/1.02 (step @p79 :rule cnf_or_pos :args (@t90)) % 0.72/1.02 (step @p80 :rule reordering :premises (@p79) :args ((or @t89 @t88 (not @t90)))) % 0.72/1.02 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p77) :args (@t88 @t91 (@list @t75 @t90))) % 0.72/1.02 (step @p82 :rule cnf_and_pos :args (@t88 6)) % 0.72/1.02 (step @p83 :rule reordering :premises (@p82) :args ((or @t87 (not @t88)))) % 0.72/1.02 (step @p84 :rule chain_m_resolution :premises (@p83 @p81) :args (@t87 @t92 (@list @t88))) % 0.72/1.02 (step @p85 :rule instantiate :premises (@p76) :args (@t93)) % 0.72/1.02 (step @p86 :rule and_elim :premises (@p54) :args (0)) % 0.72/1.02 (step @p87 :rule cnf_or_pos :args (@t100)) % 0.72/1.02 (step @p88 :rule reordering :premises (@p87) :args ((or @t99 @t98 (not @t100)))) % 0.72/1.02 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t98 @t91 (@list @t76 @t100))) % 0.72/1.02 (step @p90 :rule cnf_and_pos :args (@t98 6)) % 0.72/1.02 (step @p91 :rule reordering :premises (@p90) :args ((or @t95 (not @t98)))) % 0.72/1.02 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t95 @t92 (@list @t98))) % 0.72/1.02 (step @p93 :rule aci_norm :args ((= (or @t105 @t101) @t104))) % 0.72/1.02 (step @p94 :rule refl :args (@t101)) % 0.72/1.02 (step @p95 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.72/1.02 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t106 @t101))) % 0.72/1.02 (step @p97 :rule trans :premises (@p96 @p93)) % 0.72/1.02 (step @p98 :rule bool-impl-elim :args (@t16 @t101)) % 0.72/1.02 (step @p99 :rule trans :premises (@p98 @p97)) % 0.72/1.02 (step @p100 :rule cong :premises (@p99) :args ((forall @t11 (=> @t16 @t101)))) % 0.72/1.02 (step @p101 :rule eq-symm :args (@t46 @t45)) % 0.72/1.02 (step @p102 :rule eq-symm :args (@t48 @t45)) % 0.72/1.02 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t49)) % 0.72/1.02 (step @p104 :rule refl :args (@t16)) % 0.72/1.02 (step @p105 :rule cong :premises (@p104 @p103) :args (@t50)) % 0.72/1.02 (step @p106 :rule cong :premises (@p105) :args (@t51)) % 0.72/1.02 (step @p107 :rule trans :premises (@p106 @p100)) % 0.72/1.02 (step @p108 :rule eq_resolve :premises (@p17 @p107)) % 0.72/1.02 (step @p109 :rule eq-symm :args (@t108 @t80)) % 0.72/1.02 (step @p110 :rule refl :args (@t109)) % 0.72/1.02 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t110)) % 0.72/1.02 (step @p112 :rule refl :args (@t89)) % 0.72/1.02 (step @p113 :rule refl :args (@t99)) % 0.72/1.02 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t111)) % 0.72/1.02 (step @p115 :rule refl :args (@t112)) % 0.72/1.02 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t112 @t111))) % 0.72/1.02 (assume-push @p209 @t112) % 0.72/1.02 (step @p118 :rule instantiate :premises (@p108) :args ((@list tptp.xS tptp.xR))) % 0.72/1.02 (step-pop @p210 :rule scope :premises (@p118)) % 0.72/1.02 (step @p119 :rule process_scope :premises (@p210) :args (@t111)) % 0.72/1.02 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 0.72/1.02 (step @p122 :rule implies_elim :premises (@p121)) % 0.72/1.02 (step @p123 :rule chain_m_resolution :premises (@p122 @p108) :args (@t115 @t92 (@list @t112))) % 0.72/1.02 (step @p124 :rule cnf_or_pos :args (@t115)) % 0.72/1.02 (step @p125 :rule reordering :premises (@p124) :args ((or @t89 @t99 @t114 (not @t115)))) % 0.72/1.02 (step @p126 :rule chain_m_resolution :premises (@p125 @p78 @p86 @p123) :args (@t114 @t116 (@list @t75 @t76 @t115))) % 0.72/1.02 (step @p127 :rule cnf_and_pos :args (@t114 1)) % 0.72/1.02 (step @p128 :rule reordering :premises (@p127) :args ((or @t113 (not @t114)))) % 0.72/1.02 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t113 @t92 (@list @t114))) % 0.72/1.02 (step @p130 :rule aci_norm :args ((= (or @t105 @t117) (or @t103 @t102 @t117)))) % 0.72/1.02 (step @p131 :rule refl :args (@t117)) % 0.72/1.02 (step @p132 :rule nary_cong :premises (@p95 @p131) :args ((or @t106 @t117))) % 0.72/1.02 (step @p133 :rule trans :premises (@p132 @p130)) % 0.72/1.02 (step @p134 :rule bool-impl-elim :args (@t16 @t117)) % 0.72/1.02 (step @p135 :rule trans :premises (@p134 @p133)) % 0.72/1.02 (step @p136 :rule cong :premises (@p135) :args ((forall @t11 (=> @t16 @t117)))) % 0.72/1.02 (step @p137 :rule eq-symm :args (@t52 @t17)) % 0.72/1.02 (step @p138 :rule cong :premises (@p104 @p137) :args (@t53)) % 0.72/1.02 (step @p139 :rule cong :premises (@p138) :args (@t54)) % 0.72/1.02 (step @p140 :rule trans :premises (@p139 @p136)) % 0.72/1.02 (step @p141 :rule eq_resolve :premises (@p18 @p140)) % 0.72/1.02 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t79 @t85))) % 0.72/1.02 (step @p143 :rule bool-impl-elim :args (@t12 @t19)) % 0.72/1.02 (step @p144 :rule cong :premises (@p143) :args (@t20)) % 0.72/1.02 (step @p145 :rule eq_resolve :premises (@p12 @p144)) % 0.72/1.02 (step @p146 :rule instantiate :premises (@p145) :args (@t84)) % 0.72/1.02 (step @p147 :rule cnf_or_pos :args (@t119)) % 0.72/1.02 (step @p148 :rule reordering :premises (@p147) :args ((or @t89 @t118 (not @t119)))) % 0.72/1.02 (step @p149 :rule chain_m_resolution :premises (@p148 @p78 @p146) :args (@t118 @t91 (@list @t75 @t119))) % 0.72/1.02 (step @p150 :rule instantiate :premises (@p145) :args (@t93)) % 0.72/1.02 (step @p151 :rule cnf_or_pos :args (@t121)) % 0.72/1.02 (step @p152 :rule reordering :premises (@p151) :args ((or @t99 @t120 (not @t121)))) % 0.72/1.02 (step @p153 :rule chain_m_resolution :premises (@p152 @p86 @p150) :args (@t120 @t91 (@list @t76 @t121))) % 0.72/1.02 (step @p154 :rule cnf_or_pos :args (@t127)) % 0.72/1.02 (step @p155 :rule reordering :premises (@p154) :args ((or @t126 @t125 @t124 (not @t127)))) % 0.72/1.02 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p149 @p142) :args (@t124 @t116 (@list @t120 @t118 @t127))) % 0.72/1.02 (step @p157 :rule aci_norm :args ((= (or @t129 @t35) (or @t103 @t102 @t128 @t35)))) % 0.72/1.02 (step @p158 :rule refl :args (@t35)) % 0.72/1.02 (step @p159 :rule aci_norm :args ((= (or @t103 (or @t102 @t128)) @t129))) % 0.72/1.02 (step @p160 :rule bool-and-de-morgan :args (@t15 @t36 true)) % 0.72/1.02 (step @p161 :rule refl :args (@t103)) % 0.72/1.02 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t103 (not (and @t15 @t36))))) % 0.72/1.02 (step @p163 :rule bool-and-de-morgan :args (@t12 @t15 (and @t36))) % 0.72/1.02 (step @p164 :rule trans :premises (@p163 @p162)) % 0.72/1.02 (step @p165 :rule trans :premises (@p164 @p159)) % 0.72/1.02 (step @p166 :rule nary_cong :premises (@p165 @p158) :args ((or (not @t37) @t35))) % 0.72/1.02 (step @p167 :rule trans :premises (@p166 @p157)) % 0.72/1.02 (step @p168 :rule bool-impl-elim :args (@t37 @t35)) % 0.72/1.02 (step @p169 :rule trans :premises (@p168 @p167)) % 0.72/1.02 (step @p170 :rule cong :premises (@p169) :args (@t39)) % 0.72/1.02 (step @p171 :rule eq_resolve :premises (@p14 @p170)) % 0.72/1.02 (step @p172 :rule instantiate :premises (@p171) :args ((@list tptp.xR tptp.xS tptp.sz0z00))) % 0.72/1.02 (step @p173 :rule cnf_or_pos :args (@t134)) % 0.72/1.02 (step @p174 :rule reordering :premises (@p173) :args ((or @t133 @t89 @t99 @t132 (not @t134)))) % 0.72/1.02 (step @p175 :rule chain_m_resolution :premises (@p174 @p9 @p78 @p86 @p172) :args (@t132 (@list false false false false) (@list @t13 @t75 @t76 @t134))) % 0.72/1.02 (step @p176 :rule cnf_and_pos :args (@t132 3)) % 0.72/1.02 (step @p177 :rule reordering :premises (@p176) :args ((or @t130 (not @t132)))) % 0.72/1.02 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t130 @t92 (@list @t132))) % 0.72/1.02 (assume-push @p211 @t78) % 0.72/1.02 (assume-push @p212 @t87) % 0.72/1.02 (assume-push @p213 @t95) % 0.72/1.02 (assume-push @p214 @t113) % 0.72/1.02 (assume-push @p215 @t130) % 0.72/1.02 (assume-push @p216 @t124) % 0.72/1.02 (step @p185 :rule symm :premises (@p60)) % 0.72/1.03 (step @p186 :rule symm :premises (@p178)) % 0.72/1.03 (step @p187 :rule symm :premises (@p84)) % 0.72/1.03 (step @p188 :rule symm :premises (@p92)) % 0.72/1.03 (step @p189 :rule cong :premises (@p188 @p187) :args (@t122)) % 0.72/1.03 (step @p190 :rule trans :premises (@p156 @p189 @p186 @p185)) % 0.72/1.03 (step @p191 :rule cong :premises (@p190) :args ((tptp.smndt0 @t123))) % 0.72/1.03 (step @p192 :rule symm :premises (@p156)) % 0.72/1.03 (step @p193 :rule symm :premises (@p189)) % 0.72/1.03 (step @p194 :rule trans :premises (@p193 @p192)) % 0.72/1.03 (step @p195 :rule cong :premises (@p194) :args (@t108)) % 0.72/1.03 (step @p196 :rule trans :premises (@p129 @p195 @p191)) % 0.72/1.03 (step-pop @p217 :rule scope :premises (@p196)) % 0.72/1.03 (step-pop @p218 :rule scope :premises (@p217)) % 0.72/1.03 (step-pop @p219 :rule scope :premises (@p218)) % 0.72/1.03 (step-pop @p220 :rule scope :premises (@p219)) % 0.72/1.03 (step-pop @p221 :rule scope :premises (@p220)) % 0.72/1.03 (step-pop @p222 :rule scope :premises (@p221)) % 0.72/1.03 (step @p197 :rule process_scope :premises (@p222) :args (@t81)) % 0.72/1.03 (step @p204 :rule implies_elim :premises (@p197)) % 0.72/1.03 (step @p205 :rule cnf_and_neg :args (@t135)) % 0.72/1.03 (step @p206 :rule resolution :premises (@p205 @p204) :args (true @t135)) % 0.72/1.03 (step @p207 :rule reordering :premises (@p206) :args ((or @t81 (not @t78) (not @t87) (not @t95) (not @t113) (not @t130) (not @t124)))) % 0.72/1.03 (step @p208 false :rule chain_m_resolution :premises (@p207 @p178 @p156 @p129 @p92 @p84 @p58 @p60) :args (false (@list false false false false false true false) (@list @t130 @t124 @t113 @t95 @t87 @t81 @t78))) % 0.72/1.03 ) % 0.72/1.03 % SZS output end Proof % 0.72/1.03 % cvc5 exiting %------------------------------------------------------------------------------