%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG049+1 : 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 08:45:29 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG049+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:04:24 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.xs $$unsorted) % 0.39/0.61 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.sz0z00 $$unsorted) % 0.39/0.61 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.sz00 $$unsorted) % 0.39/0.61 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.39/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.61 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.39/0.61 (define @t3 () (@list @t1)) % 0.39/0.61 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.39/0.61 (define @t5 () (@var "W1" $$unsorted)) % 0.39/0.61 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.39/0.61 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.39/0.61 (define @t8 () (@list @t5)) % 0.39/0.61 (define @t9 () (= @t1 @t5)) % 0.39/0.61 (define @t10 () (and @t2 @t7)) % 0.39/0.61 (define @t11 () (@list @t1 @t5)) % 0.39/0.61 (define @t12 () (tptp.aScalar0 @t1)) % 0.39/0.61 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.39/0.61 (define @t14 () (tptp.aScalar0 @t5)) % 0.39/0.61 (define @t15 () (and @t12 @t14)) % 0.39/0.61 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 0.39/0.61 (define @t17 () (tptp.aScalar0 @t16)) % 0.39/0.61 (define @t18 () (forall @t11 (=> @t15 @t17))) % 0.39/0.61 (define @t19 () (tptp.smndt0 @t1)) % 0.39/0.61 (define @t20 () (@var "W2" $$unsorted)) % 0.39/0.61 (define @t21 () (tptp.sdtasdt0 @t5 @t20)) % 0.39/0.61 (define @t22 () (tptp.sdtpldt0 @t5 @t20)) % 0.39/0.61 (define @t23 () (tptp.aScalar0 @t20)) % 0.39/0.61 (define @t24 () (and @t12 @t14 @t23)) % 0.39/0.61 (define @t25 () (@list @t1 @t5 @t20)) % 0.39/0.61 (define @t26 () (tptp.sdtasdt0 @t1 @t20)) % 0.39/0.61 (define @t27 () (@var "W3" $$unsorted)) % 0.39/0.61 (define @t28 () (tptp.sdtasdt0 @t5 @t27)) % 0.39/0.61 (define @t29 () (and @t12 @t14 @t23 (tptp.aScalar0 @t27))) % 0.39/0.61 (define @t30 () (@list @t1 @t5 @t20 @t27)) % 0.39/0.61 (define @t31 () (tptp.smndt0 @t16)) % 0.39/0.61 (define @t32 () (tptp.smndt0 @t5)) % 0.39/0.61 (define @t33 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.39/0.61 (define @t34 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.39/0.61 (define @t35 () (tptp.sdtlseqdt0 @t20 @t27)) % 0.39/0.61 (define @t36 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16))) % 0.39/0.61 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.39/0.61 (define @t38 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.39/0.61 (define @t39 () (and @t38 @t37)) % 0.39/0.61 (define @t40 () (=> @t39 @t36)) % 0.39/0.61 (define @t41 () (forall @t11 (=> @t15 @t40))) % 0.39/0.61 (define @t42 () (tptp.sdtasdt0 @t1 @t1)) % 0.39/0.61 (define @t43 () (tptp.aVector0 @t1)) % 0.39/0.61 (define @t44 () (tptp.aDimensionOf0 @t1)) % 0.39/0.61 (define @t45 () (tptp.aNaturalNumber0 @t44)) % 0.39/0.61 (define @t46 () (forall @t3 (=> @t43 @t45))) % 0.39/0.61 (define @t47 () (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))) % 0.39/0.61 (define @t48 () (and @t43 @t7)) % 0.39/0.61 (define @t49 () (forall @t11 (=> @t48 @t47))) % 0.39/0.61 (define @t50 () (tptp.sdtlbdtrb0 @t1 @t20)) % 0.39/0.61 (define @t51 () (= (tptp.sdtlbdtrb0 @t5 @t20) @t50)) % 0.39/0.61 (define @t52 () (tptp.aNaturalNumber0 @t20)) % 0.39/0.61 (define @t53 () (@list @t20)) % 0.39/0.61 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.39/0.61 (define @t55 () (tptp.aDimensionOf0 @t5)) % 0.39/0.61 (define @t56 () (tptp.szszuzczcdt0 @t55)) % 0.39/0.61 (define @t57 () (tptp.aVector0 @t5)) % 0.39/0.61 (define @t58 () (and @t57 (= @t56 @t44) @t54)) % 0.39/0.61 (define @t59 () (tptp.sziznziztdt0 @t1)) % 0.39/0.61 (define @t60 () (= @t5 @t59)) % 0.39/0.61 (define @t61 () (= @t60 @t58)) % 0.39/0.61 (define @t62 () (forall @t8 @t61)) % 0.39/0.61 (define @t63 () (not (= @t44 tptp.sz00))) % 0.39/0.61 (define @t64 () (=> @t63 @t62)) % 0.39/0.61 (define @t65 () (=> @t43 @t64)) % 0.39/0.61 (define @t66 () (forall @t3 @t65)) % 0.39/0.61 (define @t67 () (tptp.sziznziztdt0 @t5)) % 0.39/0.61 (define @t68 () (= @t55 tptp.sz00)) % 0.39/0.61 (define @t69 () (= @t44 @t55)) % 0.39/0.61 (define @t70 () (and @t69 (not @t68))) % 0.39/0.61 (define @t71 () (and @t43 @t57)) % 0.39/0.61 (define @t72 () (tptp.sdtasasdt0 @t1 @t5)) % 0.39/0.61 (define @t73 () (tptp.aScalar0 @t72)) % 0.39/0.61 (define @t74 () (=> @t69 @t73)) % 0.39/0.61 (define @t75 () (forall @t11 (=> @t71 @t74))) % 0.39/0.61 (define @t76 () (tptp.aVector0 tptp.xs)) % 0.39/0.61 (define @t77 () (tptp.aDimensionOf0 tptp.xs)) % 0.39/0.61 (define @t78 () (tptp.sdtlbdtrb0 tptp.xs @t77)) % 0.39/0.61 (define @t79 () (tptp.sdtasdt0 @t78 @t78)) % 0.39/0.61 (define @t80 () (tptp.sziznziztdt0 tptp.xs)) % 0.39/0.61 (define @t81 () (tptp.sdtasasdt0 @t80 @t80)) % 0.39/0.61 (define @t82 () (tptp.sdtpldt0 @t81 @t79)) % 0.39/0.61 (define @t83 () (tptp.sdtasasdt0 tptp.xs tptp.xs)) % 0.39/0.61 (define @t84 () (tptp.sdtlseqdt0 tptp.sz0z00 @t79)) % 0.39/0.61 (define @t85 () (tptp.sdtlseqdt0 tptp.sz0z00 @t81)) % 0.39/0.61 (define @t86 () (not @t69)) % 0.39/0.61 (define @t87 () (not @t57)) % 0.39/0.61 (define @t88 () (not @t43)) % 0.39/0.61 (define @t89 () (or @t88 @t87 @t86 @t73)) % 0.39/0.61 (define @t90 () (tptp.aScalar0 @t81)) % 0.39/0.61 (define @t91 () (tptp.aVector0 @t80)) % 0.39/0.61 (define @t92 () (not @t91)) % 0.39/0.61 (define @t93 () (or @t92 @t90)) % 0.39/0.61 (define @t94 () (tptp.aDimensionOf0 @t80)) % 0.39/0.61 (define @t95 () (not (= @t94 @t94))) % 0.39/0.61 (define @t96 () (or @t92 @t92 @t95 @t90)) % 0.39/0.61 (define @t97 () (forall @t11 @t89)) % 0.39/0.61 (define @t98 () (@list false)) % 0.39/0.61 (define @t99 () (not @t37)) % 0.39/0.61 (define @t100 () (not @t38)) % 0.39/0.61 (define @t101 () (not @t14)) % 0.39/0.61 (define @t102 () (not @t12)) % 0.39/0.61 (define @t103 () (or @t100 @t99 @t36)) % 0.39/0.61 (define @t104 () (or @t102 @t101)) % 0.39/0.61 (define @t105 () (not @t15)) % 0.39/0.61 (define @t106 () (tptp.sdtlseqdt0 tptp.sz0z00 @t82)) % 0.39/0.61 (define @t107 () (and @t106 (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 @t81 @t79)))) % 0.39/0.61 (define @t108 () (not @t107)) % 0.39/0.61 (define @t109 () (@list true)) % 0.39/0.61 (define @t110 () (not @t7)) % 0.39/0.61 (define @t111 () (tptp.aNaturalNumber0 @t77)) % 0.39/0.61 (define @t112 () (not @t76)) % 0.39/0.61 (define @t113 () (or @t112 @t111)) % 0.39/0.61 (define @t114 () (@list false false)) % 0.39/0.61 (define @t115 () (tptp.aScalar0 @t78)) % 0.39/0.61 (define @t116 () (not @t111)) % 0.39/0.61 (define @t117 () (or @t112 @t116 @t115)) % 0.39/0.61 (define @t118 () (tptp.aScalar0 @t79)) % 0.39/0.61 (define @t119 () (not @t115)) % 0.39/0.61 (define @t120 () (or @t119 @t119 @t118)) % 0.39/0.61 (define @t121 () (not @t84)) % 0.39/0.61 (define @t122 () (not @t85)) % 0.39/0.61 (define @t123 () (not @t118)) % 0.39/0.61 (define @t124 () (not @t90)) % 0.39/0.61 (define @t125 () (or @t124 @t123 @t122 @t121 @t107)) % 0.39/0.61 (define @t126 () (not @t52)) % 0.39/0.61 (define @t127 () (and @t91 (= @t77 (tptp.szszuzczcdt0 @t94)) (forall @t53 (or @t126 (= (tptp.sdtlbdtrb0 tptp.xs @t20) (tptp.sdtlbdtrb0 @t80 @t20)))))) % 0.39/0.61 (define @t128 () (not @t127)) % 0.39/0.61 (define @t129 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 0.39/0.61 (define @t130 () (tptp.sdtlbdtrb0 @t129 @t20)) % 0.39/0.61 (define @t131 () (or @t126 (= @t130 @t50))) % 0.39/0.61 (define @t132 () (forall @t53 @t131)) % 0.39/0.61 (define @t133 () (= @t44 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t129)))) % 0.39/0.61 (define @t134 () (tptp.aVector0 @t129)) % 0.39/0.61 (define @t135 () (and @t134 @t133 @t132)) % 0.39/0.61 (define @t136 () (= (= @t129 @t59) @t135)) % 0.39/0.61 (define @t137 () (= tptp.sz00 @t44)) % 0.39/0.61 (define @t138 () (or @t88 @t137 @t136)) % 0.39/0.61 (define @t139 () (@list @t1 @t129)) % 0.39/0.61 (define @t140 () (forall @t139 @t138)) % 0.39/0.61 (define @t141 () (@list @t129)) % 0.39/0.61 (define @t142 () (forall @t141 @t138)) % 0.39/0.61 (define @t143 () (forall @t141 @t136)) % 0.39/0.61 (define @t144 () (or @t88 @t137 @t143)) % 0.39/0.61 (define @t145 () (forall @t8 (= @t60 (and @t57 (= @t44 @t56) (forall @t53 (or @t126 @t51)))))) % 0.39/0.61 (define @t146 () (or @t88 @t137 @t145)) % 0.39/0.61 (define @t147 () (not @t137)) % 0.39/0.61 (define @t148 () (=> @t147 @t145)) % 0.39/0.61 (define @t149 () (= (= @t80 @t80) @t127)) % 0.39/0.61 (define @t150 () (= tptp.sz00 @t77)) % 0.39/0.61 (define @t151 () (or @t112 @t150 @t149)) % 0.39/0.61 (define @t152 () (forall @t139 (or @t88 @t137 (= (= @t59 @t129) (and @t134 @t133 (forall @t53 (or @t126 (= @t50 @t130)))))))) % 0.39/0.61 (define @t153 () (or @t112 @t150 @t127)) % 0.39/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.61 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.39/0.61 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.39/0.61 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.39/0.61 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.39/0.61 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.39/0.61 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.39/0.61 (assume @p8 (forall @t3 (=> @t12 true))) % 0.39/0.61 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.39/0.61 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 0.39/0.61 (assume @p11 @t18) % 0.39/0.61 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t19)))) % 0.39/0.61 (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))))) % 0.39/0.61 (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)))))) % 0.39/0.61 (assume @p15 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t16 @t26)) (= (tptp.sdtasdt0 @t13 @t20) (tptp.sdtpldt0 @t26 @t21)))))) % 0.39/0.61 (assume @p16 (forall @t30 (=> @t29 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t20 @t27)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t26 (tptp.sdtasdt0 @t1 @t27)) (tptp.sdtpldt0 @t21 @t28)))))) % 0.39/0.61 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t32) @t31) (= (tptp.sdtasdt0 @t19 @t5) @t31))))) % 0.39/0.61 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t19 @t32) @t16)))) % 0.39/0.61 (assume @p19 (forall @t11 (=> @t15 (=> @t33 true)))) % 0.39/0.61 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.39/0.61 (assume @p21 (forall @t11 (=> @t15 (=> (and @t33 @t34) @t9)))) % 0.39/0.61 (assume @p22 (forall @t25 (=> @t24 (=> (and @t33 (tptp.sdtlseqdt0 @t5 @t20)) (tptp.sdtlseqdt0 @t1 @t20))))) % 0.39/0.61 (assume @p23 (forall @t30 (=> @t29 (=> (and @t33 @t35) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t5 @t27)))))) % 0.39/0.61 (assume @p24 (forall @t30 (=> @t29 (=> (and @t33 (tptp.sdtlseqdt0 tptp.sz0z00 @t20) @t35) (tptp.sdtlseqdt0 @t26 @t28))))) % 0.39/0.61 (assume @p25 (forall @t11 (=> @t15 (or @t33 @t34)))) % 0.39/0.61 (assume @p26 @t41) % 0.39/0.61 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t42)))) % 0.39/0.61 (assume @p28 (forall @t11 (=> @t15 (=> (and @t38 @t37 (= @t42 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.39/0.61 (assume @p29 (forall @t3 (=> @t43 true))) % 0.39/0.61 (assume @p30 @t46) % 0.39/0.61 (assume @p31 @t49) % 0.39/0.61 (assume @p32 @t66) % 0.39/0.61 (assume @p33 (forall @t11 (=> @t71 (=> @t70 (= (tptp.aDimensionOf0 @t59) (tptp.aDimensionOf0 @t67)))))) % 0.39/0.61 (assume @p34 @t75) % 0.39/0.61 (assume @p35 (forall @t11 (=> @t71 (=> (and @t69 @t68) (= @t72 tptp.sz0z00))))) % 0.39/0.61 (assume @p36 (forall @t11 (=> @t71 (=> @t70 (= @t72 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t59 @t67) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t44) (tptp.sdtlbdtrb0 @t5 @t55)))))))) % 0.39/0.61 (assume @p37 @t76) % 0.39/0.61 (assume @p38 (forall @t3 (=> @t43 (=> (tptp.iLess0 @t44 @t77) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 @t1 @t1)))))) % 0.39/0.61 (assume @p39 (not (= @t77 tptp.sz00))) % 0.39/0.61 (assume @p40 (= @t83 @t82)) % 0.39/0.61 (assume @p41 (and @t85 @t84)) % 0.39/0.61 (assume @p42 (not (tptp.sdtlseqdt0 tptp.sz0z00 @t83))) % 0.39/0.61 (assume @p43 true) % 0.39/0.61 (step @p44 :rule symm :premises (@p39)) % 0.39/0.61 (step @p45 :rule aci_norm :args ((= (or (or @t88 @t87) (or @t86 @t73)) @t89))) % 0.39/0.61 (step @p46 :rule bool-impl-elim :args (@t69 @t73)) % 0.39/0.61 (step @p47 :rule bool-and-de-morgan :args (@t43 @t57 true)) % 0.39/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t71) @t74))) % 0.39/0.61 (step @p49 :rule trans :premises (@p48 @p45)) % 0.39/0.61 (step @p50 :rule bool-impl-elim :args (@t71 @t74)) % 0.39/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.61 (step @p52 :rule cong :premises (@p51) :args (@t75)) % 0.39/0.61 (step @p53 :rule eq_resolve :premises (@p34 @p52)) % 0.39/0.61 (step @p54 :rule aci_norm :args ((= (or @t92 @t92 false @t90) @t93))) % 0.39/0.61 (step @p55 :rule refl :args (@t90)) % 0.39/0.61 (step @p56 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p57 :rule eq-refl :args (@t94)) % 0.39/0.61 (step @p58 :rule cong :premises (@p57) :args (@t95)) % 0.39/0.61 (step @p59 :rule trans :premises (@p58 @p56)) % 0.39/0.61 (step @p60 :rule refl :args (@t92)) % 0.39/0.61 (step @p61 :rule nary_cong :premises (@p60 @p60 @p59 @p55) :args (@t96)) % 0.39/0.61 (step @p62 :rule trans :premises (@p61 @p54)) % 0.39/0.61 (step @p63 :rule refl :args (@t97)) % 0.39/0.61 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t97 @t96))) % 0.39/0.61 (assume-push @p215 @t97) % 0.39/0.61 (step @p66 :rule instantiate :premises (@p53) :args ((@list @t80 @t80))) % 0.39/0.61 (step-pop @p216 :rule scope :premises (@p66)) % 0.39/0.61 (step @p67 :rule process_scope :premises (@p216) :args (@t96)) % 0.39/0.61 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.39/0.61 (step @p70 :rule implies_elim :premises (@p69)) % 0.39/0.61 (step @p71 :rule chain_m_resolution :premises (@p70 @p53) :args (@t93 @t98 (@list @t97))) % 0.39/0.61 (step @p72 :rule aci_norm :args ((= (or @t104 @t103) (or @t102 @t101 @t100 @t99 @t36)))) % 0.39/0.61 (step @p73 :rule aci_norm :args ((= (or (or @t100 @t99) @t36) @t103))) % 0.39/0.61 (step @p74 :rule refl :args (@t36)) % 0.39/0.61 (step @p75 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.39/0.61 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t39) @t36))) % 0.39/0.61 (step @p77 :rule trans :premises (@p76 @p73)) % 0.39/0.61 (step @p78 :rule bool-impl-elim :args (@t39 @t36)) % 0.39/0.61 (step @p79 :rule trans :premises (@p78 @p77)) % 0.39/0.61 (step @p80 :rule bool-and-de-morgan :args (@t12 @t14 true)) % 0.39/0.61 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t105 @t40))) % 0.39/0.61 (step @p82 :rule trans :premises (@p81 @p72)) % 0.39/0.61 (step @p83 :rule bool-impl-elim :args (@t15 @t40)) % 0.39/0.61 (step @p84 :rule trans :premises (@p83 @p82)) % 0.39/0.61 (step @p85 :rule cong :premises (@p84) :args (@t41)) % 0.39/0.61 (step @p86 :rule eq_resolve :premises (@p26 @p85)) % 0.39/0.61 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t81 @t79))) % 0.39/0.61 (step @p88 :rule false_intro :premises (@p42)) % 0.39/0.61 (step @p89 :rule symm :premises (@p40)) % 0.39/0.61 (step @p90 :rule refl :args (tptp.sz0z00)) % 0.39/0.61 (step @p91 :rule cong :premises (@p90 @p89) :args (@t106)) % 0.39/0.61 (step @p92 :rule trans :premises (@p91 @p88)) % 0.39/0.61 (step @p93 :rule false_elim :premises (@p92)) % 0.39/0.61 (step @p94 :rule cnf_and_pos :args (@t107 0)) % 0.39/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or @t106 @t108))) % 0.39/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t108 @t109 (@list @t106))) % 0.39/0.61 (step @p97 :rule aci_norm :args ((= (or @t104 @t17) (or @t102 @t101 @t17)))) % 0.39/0.61 (step @p98 :rule refl :args (@t17)) % 0.39/0.61 (step @p99 :rule nary_cong :premises (@p80 @p98) :args ((or @t105 @t17))) % 0.39/0.61 (step @p100 :rule trans :premises (@p99 @p97)) % 0.39/0.61 (step @p101 :rule bool-impl-elim :args (@t15 @t17)) % 0.39/0.61 (step @p102 :rule trans :premises (@p101 @p100)) % 0.39/0.61 (step @p103 :rule cong :premises (@p102) :args (@t18)) % 0.39/0.61 (step @p104 :rule eq_resolve :premises (@p11 @p103)) % 0.39/0.61 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t78 @t78))) % 0.39/0.61 (step @p106 :rule aci_norm :args ((= (or (or @t88 @t110) @t47) (or @t88 @t110 @t47)))) % 0.39/0.61 (step @p107 :rule refl :args (@t47)) % 0.39/0.61 (step @p108 :rule bool-and-de-morgan :args (@t43 @t7 true)) % 0.39/0.61 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t48) @t47))) % 0.39/0.61 (step @p110 :rule trans :premises (@p109 @p106)) % 0.39/0.61 (step @p111 :rule bool-impl-elim :args (@t48 @t47)) % 0.39/0.61 (step @p112 :rule trans :premises (@p111 @p110)) % 0.39/0.61 (step @p113 :rule cong :premises (@p112) :args (@t49)) % 0.39/0.61 (step @p114 :rule eq_resolve :premises (@p31 @p113)) % 0.39/0.61 (step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.xs @t77))) % 0.39/0.61 (step @p116 :rule bool-impl-elim :args (@t43 @t45)) % 0.39/0.61 (step @p117 :rule cong :premises (@p116) :args (@t46)) % 0.39/0.61 (step @p118 :rule eq_resolve :premises (@p30 @p117)) % 0.39/0.61 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.xs))) % 0.39/0.61 (step @p120 :rule cnf_or_pos :args (@t113)) % 0.39/0.61 (step @p121 :rule reordering :premises (@p120) :args ((or @t112 @t111 (not @t113)))) % 0.39/0.61 (step @p122 :rule chain_m_resolution :premises (@p121 @p37 @p119) :args (@t111 @t114 (@list @t76 @t113))) % 0.39/0.61 (step @p123 :rule cnf_or_pos :args (@t117)) % 0.39/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t112 @t115 @t116 (not @t117)))) % 0.39/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p37 @p122 @p115) :args (@t115 (@list false false false) (@list @t76 @t111 @t117))) % 0.39/0.61 (step @p126 :rule cnf_or_pos :args (@t120)) % 0.39/0.61 (step @p127 :rule factoring :premises (@p126)) % 0.39/0.61 (step @p128 :rule reordering :premises (@p127) :args ((or @t118 @t119 (not @t120)))) % 0.39/0.61 (step @p129 :rule chain_m_resolution :premises (@p128 @p125 @p105) :args (@t118 @t114 (@list @t115 @t120))) % 0.39/0.61 (step @p130 :rule and_elim :premises (@p41) :args (1)) % 0.39/0.61 (step @p131 :rule and_elim :premises (@p41) :args (0)) % 0.39/0.61 (step @p132 :rule cnf_or_pos :args (@t125)) % 0.39/0.61 (step @p133 :rule reordering :premises (@p132) :args ((or @t122 @t121 @t124 @t123 @t107 (not @t125)))) % 0.39/0.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p130 @p129 @p96 @p87) :args (@t124 (@list false false false true false) (@list @t85 @t84 @t118 @t107 @t125))) % 0.39/0.61 (step @p135 :rule cnf_or_pos :args (@t93)) % 0.39/0.61 (step @p136 :rule reordering :premises (@p135) :args ((or @t90 @t92 (not @t93)))) % 0.39/0.61 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p71) :args (@t92 (@list true false) (@list @t90 @t93))) % 0.39/0.61 (step @p138 :rule cnf_and_pos :args (@t127 0)) % 0.39/0.61 (step @p139 :rule reordering :premises (@p138) :args ((or @t91 @t128))) % 0.39/0.61 (step @p140 :rule chain_m_resolution :premises (@p139 @p137) :args (@t128 @t109 (@list @t91))) % 0.39/0.61 (step @p141 :rule eq-symm :args (@t130 @t50)) % 0.39/0.61 (step @p142 :rule refl :args (@t126)) % 0.39/0.61 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t131)) % 0.39/0.61 (step @p144 :rule cong :premises (@p143) :args (@t132)) % 0.39/0.61 (step @p145 :rule refl :args (@t133)) % 0.39/0.61 (step @p146 :rule refl :args (@t134)) % 0.39/0.61 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144) :args (@t135)) % 0.39/0.61 (step @p148 :rule eq-symm :args (@t129 @t59)) % 0.39/0.61 (step @p149 :rule cong :premises (@p148 @p147) :args (@t136)) % 0.39/0.61 (step @p150 :rule refl :args (@t137)) % 0.39/0.61 (step @p151 :rule refl :args (@t88)) % 0.39/0.61 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args (@t138)) % 0.39/0.61 (step @p153 :rule cong :premises (@p152) :args (@t140)) % 0.39/0.61 (step @p154 :rule quant-merge-prenex :args ((= (forall @t3 @t142) @t140))) % 0.39/0.61 (step @p155 :rule alpha_equiv :args (@t143 (@list @t129) (@list @t5))) % 0.39/0.61 (step @p156 :rule refl :args (@t137)) % 0.39/0.61 (step @p157 :rule refl :args (@t88)) % 0.39/0.61 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args (@t144)) % 0.39/0.61 (step @p159 :rule quant-miniscope-or :args ((= @t142 @t144))) % 0.39/0.61 (step @p160 :rule trans :premises (@p159 @p158)) % 0.39/0.61 (step @p161 :rule symm :premises (@p160)) % 0.39/0.61 (step @p162 :rule cong :premises (@p161) :args ((forall @t3 @t146))) % 0.39/0.61 (step @p163 :rule trans :premises (@p162 @p154)) % 0.39/0.61 (step @p164 :rule trans :premises (@p163 @p153)) % 0.39/0.61 (step @p165 :rule aci_norm :args ((= (or @t88 (or @t137 @t145)) @t146))) % 0.39/0.61 (step @p166 :rule refl :args (@t145)) % 0.39/0.61 (step @p167 :rule bool-double-not-elim :args (@t137)) % 0.39/0.61 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or (not @t147) @t145))) % 0.39/0.61 (step @p169 :rule bool-impl-elim :args (@t147 @t145)) % 0.39/0.61 (step @p170 :rule trans :premises (@p169 @p168)) % 0.39/0.61 (step @p171 :rule nary_cong :premises (@p157 @p170) :args ((or @t88 @t148))) % 0.39/0.61 (step @p172 :rule trans :premises (@p171 @p165)) % 0.39/0.61 (step @p173 :rule bool-impl-elim :args (@t43 @t148)) % 0.39/0.61 (step @p174 :rule trans :premises (@p173 @p172)) % 0.39/0.61 (step @p175 :rule cong :premises (@p174) :args ((forall @t3 (=> @t43 @t148)))) % 0.39/0.61 (step @p176 :rule trans :premises (@p175 @p164)) % 0.39/0.61 (step @p177 :rule bool-impl-elim :args (@t52 @t51)) % 0.39/0.61 (step @p178 :rule cong :premises (@p177) :args (@t54)) % 0.39/0.61 (step @p179 :rule eq-symm :args (@t56 @t44)) % 0.39/0.61 (step @p180 :rule refl :args (@t57)) % 0.39/0.61 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t58)) % 0.39/0.61 (step @p182 :rule refl :args (@t60)) % 0.39/0.61 (step @p183 :rule cong :premises (@p182 @p181) :args (@t61)) % 0.39/0.61 (step @p184 :rule cong :premises (@p183) :args (@t62)) % 0.39/0.61 (step @p185 :rule eq-symm :args (@t44 tptp.sz00)) % 0.39/0.61 (step @p186 :rule cong :premises (@p185) :args (@t63)) % 0.39/0.61 (step @p187 :rule cong :premises (@p186 @p184) :args (@t64)) % 0.39/0.61 (step @p188 :rule refl :args (@t43)) % 0.39/0.61 (step @p189 :rule cong :premises (@p188 @p187) :args (@t65)) % 0.39/0.61 (step @p190 :rule cong :premises (@p189) :args (@t66)) % 0.39/0.61 (step @p191 :rule trans :premises (@p190 @p176)) % 0.39/0.61 (step @p192 :rule eq_resolve :premises (@p32 @p191)) % 0.39/0.61 (step @p193 :rule bool-eq-true :args (@t127)) % 0.39/0.61 (step @p194 :rule eq-symm :args (true @t127)) % 0.39/0.61 (step @p195 :rule trans :premises (@p194 @p193)) % 0.39/0.61 (step @p196 :rule refl :args (@t127)) % 0.39/0.61 (step @p197 :rule eq-refl :args (@t80)) % 0.39/0.61 (step @p198 :rule cong :premises (@p197 @p196) :args (@t149)) % 0.39/0.61 (step @p199 :rule trans :premises (@p198 @p195)) % 0.39/0.61 (step @p200 :rule refl :args (@t150)) % 0.39/0.61 (step @p201 :rule refl :args (@t112)) % 0.39/0.61 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199) :args (@t151)) % 0.39/0.61 (step @p203 :rule refl :args (@t152)) % 0.39/0.61 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t152 @t151))) % 0.39/0.61 (assume-push @p217 @t152) % 0.39/0.61 (step @p206 :rule instantiate :premises (@p192) :args ((@list tptp.xs @t80))) % 0.39/0.61 (step-pop @p218 :rule scope :premises (@p206)) % 0.39/0.61 (step @p207 :rule process_scope :premises (@p218) :args (@t151)) % 0.39/0.61 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 0.39/0.61 (step @p210 :rule implies_elim :premises (@p209)) % 0.39/0.61 (step @p211 :rule chain_m_resolution :premises (@p210 @p192) :args (@t153 @t98 (@list @t152))) % 0.39/0.62 (step @p212 :rule cnf_or_pos :args (@t153)) % 0.39/0.62 (step @p213 :rule reordering :premises (@p212) :args ((or @t150 @t112 @t127 (not @t153)))) % 0.39/0.62 (step @p214 false :rule chain_m_resolution :premises (@p213 @p211 @p140 @p44 @p37) :args (false (@list false true true false) (@list @t153 @t127 @t150 @t76))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------