%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG047+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 : n001.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 0.37s 0.66s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG047+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.36 % Computer : n001.cluster.edu % 0.19/0.36 % Model : x86_64 x86_64 % 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.36 % Memory : 8042.1875MB % 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 14:04:35 EDT 2026 % 0.19/0.36 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.66 % SZS status Theorem % 0.37/0.66 % SZS output start Proof % 0.37/0.66 ( % 0.37/0.66 (declare-sort $$unsorted 0) % 0.37/0.66 (declare-const tptp.xs $$unsorted) % 0.37/0.66 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.sz0z00 $$unsorted) % 0.37/0.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.xt $$unsorted) % 0.37/0.66 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.sz00 $$unsorted) % 0.37/0.66 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.37/0.66 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.37/0.66 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.66 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.37/0.66 (define @t3 () (@list @t1)) % 0.37/0.66 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.37/0.66 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.66 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.37/0.66 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.37/0.66 (define @t8 () (@list @t5)) % 0.37/0.66 (define @t9 () (= @t1 @t5)) % 0.37/0.66 (define @t10 () (= @t4 @t6)) % 0.37/0.66 (define @t11 () (=> @t10 @t9)) % 0.37/0.66 (define @t12 () (and @t2 @t7)) % 0.37/0.66 (define @t13 () (@list @t1 @t5)) % 0.37/0.66 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.37/0.66 (define @t15 () (tptp.aScalar0 @t1)) % 0.37/0.66 (define @t16 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.66 (define @t17 () (tptp.aScalar0 @t5)) % 0.37/0.66 (define @t18 () (and @t15 @t17)) % 0.37/0.66 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.66 (define @t20 () (tptp.smndt0 @t1)) % 0.37/0.66 (define @t21 () (@var "W2" $$unsorted)) % 0.37/0.66 (define @t22 () (tptp.sdtasdt0 @t5 @t21)) % 0.37/0.66 (define @t23 () (tptp.sdtpldt0 @t5 @t21)) % 0.37/0.66 (define @t24 () (tptp.aScalar0 @t21)) % 0.37/0.66 (define @t25 () (and @t15 @t17 @t24)) % 0.37/0.66 (define @t26 () (@list @t1 @t5 @t21)) % 0.37/0.66 (define @t27 () (tptp.sdtasdt0 @t1 @t21)) % 0.37/0.66 (define @t28 () (@var "W3" $$unsorted)) % 0.37/0.66 (define @t29 () (tptp.sdtasdt0 @t5 @t28)) % 0.37/0.66 (define @t30 () (and @t15 @t17 @t24 (tptp.aScalar0 @t28))) % 0.37/0.66 (define @t31 () (@list @t1 @t5 @t21 @t28)) % 0.37/0.66 (define @t32 () (tptp.smndt0 @t19)) % 0.37/0.66 (define @t33 () (tptp.smndt0 @t5)) % 0.37/0.66 (define @t34 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.66 (define @t35 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.66 (define @t36 () (tptp.sdtlseqdt0 @t21 @t28)) % 0.37/0.66 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.37/0.66 (define @t38 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.37/0.66 (define @t39 () (tptp.sdtasdt0 @t1 @t1)) % 0.37/0.66 (define @t40 () (tptp.aVector0 @t1)) % 0.37/0.66 (define @t41 () (tptp.aDimensionOf0 @t1)) % 0.37/0.66 (define @t42 () (tptp.aNaturalNumber0 @t41)) % 0.37/0.66 (define @t43 () (forall @t3 (=> @t40 @t42))) % 0.37/0.66 (define @t44 () (tptp.sdtlbdtrb0 @t1 @t21)) % 0.37/0.66 (define @t45 () (= (tptp.sdtlbdtrb0 @t5 @t21) @t44)) % 0.37/0.66 (define @t46 () (tptp.aNaturalNumber0 @t21)) % 0.37/0.66 (define @t47 () (@list @t21)) % 0.37/0.66 (define @t48 () (forall @t47 (=> @t46 @t45))) % 0.37/0.66 (define @t49 () (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t5))) % 0.37/0.66 (define @t50 () (tptp.aVector0 @t5)) % 0.37/0.66 (define @t51 () (and @t50 (= @t49 @t41) @t48)) % 0.37/0.66 (define @t52 () (tptp.sziznziztdt0 @t1)) % 0.37/0.66 (define @t53 () (= @t5 @t52)) % 0.37/0.66 (define @t54 () (= @t53 @t51)) % 0.37/0.66 (define @t55 () (forall @t8 @t54)) % 0.37/0.66 (define @t56 () (not (= @t41 tptp.sz00))) % 0.37/0.66 (define @t57 () (=> @t56 @t55)) % 0.37/0.66 (define @t58 () (=> @t40 @t57)) % 0.37/0.66 (define @t59 () (forall @t3 @t58)) % 0.37/0.66 (define @t60 () (tptp.aVector0 tptp.xt)) % 0.37/0.66 (define @t61 () (tptp.aVector0 tptp.xs)) % 0.37/0.66 (define @t62 () (tptp.aDimensionOf0 tptp.xt)) % 0.37/0.66 (define @t63 () (tptp.aDimensionOf0 tptp.xs)) % 0.37/0.66 (define @t64 () (tptp.sziznziztdt0 tptp.xt)) % 0.37/0.66 (define @t65 () (tptp.aDimensionOf0 @t64)) % 0.37/0.66 (define @t66 () (tptp.sziznziztdt0 tptp.xs)) % 0.37/0.66 (define @t67 () (tptp.aDimensionOf0 @t66)) % 0.37/0.66 (define @t68 () (= @t67 @t65)) % 0.37/0.66 (define @t69 () (not @t10)) % 0.37/0.66 (define @t70 () (not @t7)) % 0.37/0.66 (define @t71 () (not @t2)) % 0.37/0.66 (define @t72 () (or @t71 @t70 @t69 @t9)) % 0.37/0.66 (define @t73 () (tptp.szszuzczcdt0 @t65)) % 0.37/0.66 (define @t74 () (tptp.szszuzczcdt0 @t67)) % 0.37/0.66 (define @t75 () (not (= @t73 @t74))) % 0.37/0.66 (define @t76 () (tptp.aNaturalNumber0 @t67)) % 0.37/0.66 (define @t77 () (not @t76)) % 0.37/0.66 (define @t78 () (tptp.aNaturalNumber0 @t65)) % 0.37/0.66 (define @t79 () (not @t78)) % 0.37/0.66 (define @t80 () (or @t79 @t77 @t75 (= @t65 @t67))) % 0.37/0.66 (define @t81 () (forall @t13 @t72)) % 0.37/0.66 (define @t82 () (not (= @t74 @t73))) % 0.37/0.66 (define @t83 () (or @t79 @t77 @t82 @t68)) % 0.37/0.66 (define @t84 () (@list false)) % 0.37/0.66 (define @t85 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 0.37/0.66 (define @t86 () (tptp.sdtlbdtrb0 @t85 @t21)) % 0.37/0.66 (define @t87 () (not @t46)) % 0.37/0.66 (define @t88 () (or @t87 (= @t86 @t44))) % 0.37/0.66 (define @t89 () (forall @t47 @t88)) % 0.37/0.66 (define @t90 () (= @t41 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t85)))) % 0.37/0.66 (define @t91 () (tptp.aVector0 @t85)) % 0.37/0.66 (define @t92 () (and @t91 @t90 @t89)) % 0.37/0.66 (define @t93 () (= (= @t85 @t52) @t92)) % 0.37/0.66 (define @t94 () (= tptp.sz00 @t41)) % 0.37/0.66 (define @t95 () (not @t40)) % 0.37/0.66 (define @t96 () (or @t95 @t94 @t93)) % 0.37/0.66 (define @t97 () (@list @t1 @t85)) % 0.37/0.66 (define @t98 () (forall @t97 @t96)) % 0.37/0.66 (define @t99 () (@list @t85)) % 0.37/0.66 (define @t100 () (forall @t99 @t96)) % 0.37/0.66 (define @t101 () (forall @t99 @t93)) % 0.37/0.66 (define @t102 () (or @t95 @t94 @t101)) % 0.37/0.66 (define @t103 () (forall @t8 (= @t53 (and @t50 (= @t41 @t49) (forall @t47 (or @t87 @t45)))))) % 0.37/0.66 (define @t104 () (or @t95 @t94 @t103)) % 0.37/0.66 (define @t105 () (not @t94)) % 0.37/0.66 (define @t106 () (=> @t105 @t103)) % 0.37/0.66 (define @t107 () (= @t62 @t73)) % 0.37/0.66 (define @t108 () (tptp.aVector0 @t64)) % 0.37/0.66 (define @t109 () (and @t108 @t107 (forall @t47 (or @t87 (= (tptp.sdtlbdtrb0 tptp.xt @t21) (tptp.sdtlbdtrb0 @t64 @t21)))))) % 0.37/0.66 (define @t110 () (= (= @t64 @t64) @t109)) % 0.37/0.66 (define @t111 () (= tptp.sz00 @t62)) % 0.37/0.66 (define @t112 () (not @t60)) % 0.37/0.66 (define @t113 () (or @t112 @t111 @t110)) % 0.37/0.66 (define @t114 () (forall @t97 (or @t95 @t94 (= (= @t52 @t85) (and @t91 @t90 (forall @t47 (or @t87 (= @t44 @t86)))))))) % 0.37/0.66 (define @t115 () (or @t112 @t111 @t109)) % 0.37/0.66 (define @t116 () (@list @t114)) % 0.37/0.66 (define @t117 () (not @t109)) % 0.37/0.66 (define @t118 () (@list @t109)) % 0.37/0.66 (define @t119 () (not @t108)) % 0.37/0.66 (define @t120 () (or @t119 @t78)) % 0.37/0.66 (define @t121 () (@list false false)) % 0.37/0.66 (define @t122 () (= @t63 @t74)) % 0.37/0.66 (define @t123 () (tptp.aVector0 @t66)) % 0.37/0.66 (define @t124 () (and @t123 @t122 (forall @t47 (or @t87 (= (tptp.sdtlbdtrb0 tptp.xs @t21) (tptp.sdtlbdtrb0 @t66 @t21)))))) % 0.37/0.66 (define @t125 () (= (= @t66 @t66) @t124)) % 0.37/0.66 (define @t126 () (= tptp.sz00 @t63)) % 0.37/0.66 (define @t127 () (not @t61)) % 0.37/0.66 (define @t128 () (or @t127 @t126 @t125)) % 0.37/0.66 (define @t129 () (or @t127 @t126 @t124)) % 0.37/0.66 (define @t130 () (not @t124)) % 0.37/0.66 (define @t131 () (@list @t124)) % 0.37/0.66 (define @t132 () (not @t123)) % 0.37/0.66 (define @t133 () (or @t132 @t76)) % 0.37/0.66 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.66 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.37/0.66 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.37/0.66 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.37/0.66 (assume @p5 @t14) % 0.37/0.66 (assume @p6 (forall @t13 (=> @t12 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.37/0.66 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.37/0.66 (assume @p8 (forall @t3 (=> @t15 true))) % 0.37/0.66 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.37/0.66 (assume @p10 (forall @t13 (=> @t18 (tptp.aScalar0 @t16)))) % 0.37/0.66 (assume @p11 (forall @t13 (=> @t18 (tptp.aScalar0 @t19)))) % 0.37/0.66 (assume @p12 (forall @t3 (=> @t15 (tptp.aScalar0 @t20)))) % 0.37/0.66 (assume @p13 (forall @t3 (=> @t15 (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 @t20) tptp.sz0z00) (= (tptp.sdtpldt0 @t20 @t1) tptp.sz0z00) (= (tptp.smndt0 @t20) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.37/0.66 (assume @p14 (forall @t26 (=> @t25 (and (= (tptp.sdtpldt0 @t16 @t21) (tptp.sdtpldt0 @t1 @t23)) (= @t16 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t21) (tptp.sdtasdt0 @t1 @t22)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))))) % 0.37/0.66 (assume @p15 (forall @t26 (=> @t25 (and (= (tptp.sdtasdt0 @t1 @t23) (tptp.sdtpldt0 @t19 @t27)) (= (tptp.sdtasdt0 @t16 @t21) (tptp.sdtpldt0 @t27 @t22)))))) % 0.37/0.66 (assume @p16 (forall @t31 (=> @t30 (= (tptp.sdtasdt0 @t16 (tptp.sdtpldt0 @t21 @t28)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t27 (tptp.sdtasdt0 @t1 @t28)) (tptp.sdtpldt0 @t22 @t29)))))) % 0.37/0.66 (assume @p17 (forall @t13 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t33) @t32) (= (tptp.sdtasdt0 @t20 @t5) @t32))))) % 0.37/0.66 (assume @p18 (forall @t13 (=> @t18 (= (tptp.sdtasdt0 @t20 @t33) @t19)))) % 0.37/0.66 (assume @p19 (forall @t13 (=> @t18 (=> @t34 true)))) % 0.37/0.66 (assume @p20 (forall @t3 (=> @t15 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.66 (assume @p21 (forall @t13 (=> @t18 (=> (and @t34 @t35) @t9)))) % 0.37/0.66 (assume @p22 (forall @t26 (=> @t25 (=> (and @t34 (tptp.sdtlseqdt0 @t5 @t21)) (tptp.sdtlseqdt0 @t1 @t21))))) % 0.37/0.66 (assume @p23 (forall @t31 (=> @t30 (=> (and @t34 @t36) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t21) (tptp.sdtpldt0 @t5 @t28)))))) % 0.37/0.66 (assume @p24 (forall @t31 (=> @t30 (=> (and @t34 (tptp.sdtlseqdt0 tptp.sz0z00 @t21) @t36) (tptp.sdtlseqdt0 @t27 @t29))))) % 0.37/0.66 (assume @p25 (forall @t13 (=> @t18 (or @t34 @t35)))) % 0.37/0.66 (assume @p26 (forall @t13 (=> @t18 (=> (and @t38 @t37) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t16) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 0.37/0.66 (assume @p27 (forall @t3 (=> @t15 (tptp.sdtlseqdt0 tptp.sz0z00 @t39)))) % 0.37/0.66 (assume @p28 (forall @t13 (=> @t18 (=> (and @t38 @t37 (= @t39 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.37/0.66 (assume @p29 (forall @t3 (=> @t40 true))) % 0.37/0.66 (assume @p30 @t43) % 0.37/0.67 (assume @p31 (forall @t13 (=> (and @t40 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.37/0.67 (assume @p32 @t59) % 0.37/0.67 (assume @p33 (and @t61 @t60)) % 0.37/0.67 (assume @p34 (and (= @t63 @t62) (not (= @t62 tptp.sz00)))) % 0.37/0.67 (assume @p35 (not @t68)) % 0.37/0.67 (assume @p36 true) % 0.37/0.67 (step @p37 :rule evaluate :args ((= true false))) % 0.37/0.67 (step @p38 :rule aci_norm :args ((= (or (or @t71 @t70) (or @t69 @t9)) @t72))) % 0.37/0.67 (step @p39 :rule bool-impl-elim :args (@t10 @t9)) % 0.37/0.67 (step @p40 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.37/0.67 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t12) @t11))) % 0.37/0.67 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.67 (step @p43 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.67 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.67 (step @p45 :rule cong :premises (@p44) :args (@t14)) % 0.37/0.67 (step @p46 :rule eq_resolve :premises (@p5 @p45)) % 0.37/0.67 (step @p47 :rule eq-symm :args (@t65 @t67)) % 0.37/0.67 (step @p48 :rule eq-symm :args (@t73 @t74)) % 0.37/0.67 (step @p49 :rule cong :premises (@p48) :args (@t75)) % 0.37/0.67 (step @p50 :rule refl :args (@t77)) % 0.37/0.67 (step @p51 :rule refl :args (@t79)) % 0.37/0.67 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p47) :args (@t80)) % 0.37/0.67 (step @p53 :rule refl :args (@t81)) % 0.37/0.67 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t81 @t80))) % 0.37/0.67 (assume-push @p203 @t81) % 0.37/0.67 (step @p56 :rule instantiate :premises (@p46) :args ((@list @t65 @t67))) % 0.37/0.67 (step-pop @p204 :rule scope :premises (@p56)) % 0.37/0.67 (step @p57 :rule process_scope :premises (@p204) :args (@t80)) % 0.37/0.67 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.37/0.67 (step @p60 :rule implies_elim :premises (@p59)) % 0.37/0.67 (step @p61 :rule chain_m_resolution :premises (@p60 @p46) :args (@t83 @t84 (@list @t81))) % 0.37/0.67 (step @p62 :rule bool-impl-elim :args (@t40 @t42)) % 0.37/0.67 (step @p63 :rule cong :premises (@p62) :args (@t43)) % 0.37/0.67 (step @p64 :rule eq_resolve :premises (@p30 @p63)) % 0.37/0.67 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t64))) % 0.37/0.67 (step @p66 :rule eq-symm :args (@t86 @t44)) % 0.37/0.67 (step @p67 :rule refl :args (@t87)) % 0.37/0.67 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t88)) % 0.37/0.67 (step @p69 :rule cong :premises (@p68) :args (@t89)) % 0.37/0.67 (step @p70 :rule refl :args (@t90)) % 0.37/0.67 (step @p71 :rule refl :args (@t91)) % 0.37/0.67 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t92)) % 0.37/0.67 (step @p73 :rule eq-symm :args (@t85 @t52)) % 0.37/0.67 (step @p74 :rule cong :premises (@p73 @p72) :args (@t93)) % 0.37/0.67 (step @p75 :rule refl :args (@t94)) % 0.37/0.67 (step @p76 :rule refl :args (@t95)) % 0.37/0.67 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t96)) % 0.37/0.67 (step @p78 :rule cong 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(step @p151 :rule eq-symm :args (true @t124)) % 0.37/0.67 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.67 (step @p153 :rule refl :args (@t124)) % 0.37/0.67 (step @p154 :rule eq-refl :args (@t66)) % 0.37/0.67 (step @p155 :rule cong :premises (@p154 @p153) :args (@t125)) % 0.37/0.67 (step @p156 :rule trans :premises (@p155 @p152)) % 0.37/0.67 (step @p157 :rule refl :args (@t126)) % 0.37/0.67 (step @p158 :rule refl :args (@t127)) % 0.37/0.67 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t128)) % 0.37/0.67 (step @p160 :rule cong :premises (@p128 @p159) :args ((=> @t114 @t128))) % 0.37/0.67 (assume-push @p207 @t114) % 0.37/0.67 (step @p162 :rule instantiate :premises (@p117) :args ((@list tptp.xs @t66))) % 0.37/0.67 (step-pop @p208 :rule scope :premises (@p162)) % 0.37/0.67 (step @p163 :rule process_scope :premises (@p208) :args (@t128)) % 0.37/0.67 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.37/0.67 (step @p166 :rule implies_elim :premises (@p165)) % 0.37/0.67 (step @p167 :rule chain_m_resolution :premises (@p166 @p117) :args (@t129 @t84 @t116)) % 0.37/0.67 (step @p168 :rule false_intro :premises (@p139)) % 0.37/0.67 (step @p169 :rule and_elim :premises (@p34) :args (0)) % 0.37/0.67 (step @p170 :rule refl :args (tptp.sz00)) % 0.37/0.67 (step @p171 :rule cong :premises (@p170 @p169) :args (@t126)) % 0.37/0.67 (step @p172 :rule trans :premises (@p171 @p168)) % 0.37/0.67 (step @p173 :rule false_elim :premises (@p172)) % 0.37/0.67 (step @p174 :rule and_elim :premises (@p33) :args (0)) % 0.37/0.67 (step @p175 :rule cnf_or_pos :args (@t129)) % 0.37/0.67 (step @p176 :rule reordering :premises (@p175) :args ((or @t127 @t126 @t124 (not @t129)))) % 0.37/0.67 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p173 @p167) :args (@t124 (@list false true false) (@list @t61 @t126 @t129))) % 0.37/0.67 (step @p178 :rule cnf_and_pos :args (@t124 0)) % 0.37/0.67 (step @p179 :rule reordering :premises (@p178) :args ((or @t123 @t130))) % 0.37/0.67 (step @p180 :rule chain_m_resolution :premises (@p179 @p177) :args (@t123 @t84 @t131)) % 0.37/0.67 (step @p181 :rule cnf_or_pos :args (@t133)) % 0.37/0.67 (step @p182 :rule reordering :premises (@p181) :args ((or @t132 @t76 (not @t133)))) % 0.37/0.67 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p149) :args (@t76 @t121 (@list @t123 @t133))) % 0.37/0.67 (step @p184 :rule cnf_or_pos :args (@t83)) % 0.37/0.67 (step @p185 :rule reordering :premises (@p184) :args ((or @t68 @t77 @t79 @t82 (not @t83)))) % 0.37/0.67 (step @p186 :rule chain_m_resolution :premises (@p185 @p35 @p183 @p148 @p61) :args (@t82 (@list true false false false) (@list @t68 @t76 @t78 @t83))) % 0.37/0.67 (step @p187 :rule false_intro :premises (@p186)) % 0.37/0.67 (step @p188 :rule cnf_and_pos :args (@t109 1)) % 0.37/0.67 (step @p189 :rule reordering :premises (@p188) :args ((or @t107 @t117))) % 0.37/0.67 (step @p190 :rule chain_m_resolution :premises (@p189 @p142) :args (@t107 @t84 @t118)) % 0.37/0.67 (step @p191 :rule trans :premises (@p169 @p190)) % 0.37/0.67 (step @p192 :rule symm :premises (@p169)) % 0.37/0.67 (step @p193 :rule cnf_and_pos :args (@t124 1)) % 0.37/0.67 (step @p194 :rule reordering :premises (@p193) :args ((or @t122 @t130))) % 0.37/0.67 (step @p195 :rule chain_m_resolution :premises (@p194 @p177) :args (@t122 @t84 @t131)) % 0.37/0.67 (step @p196 :rule trans :premises (@p192 @p195)) % 0.37/0.67 (step @p197 :rule symm :premises (@p196)) % 0.37/0.67 (step @p198 :rule trans :premises (@p197 @p192 @p191)) % 0.37/0.67 (step @p199 :rule true_intro :premises (@p198)) % 0.37/0.67 (step @p200 :rule symm :premises (@p199)) % 0.37/0.67 (step @p201 :rule trans :premises (@p200 @p187)) % 0.37/0.67 (step @p202 false :rule eq_resolve :premises (@p201 @p37)) % 0.37/0.67 ) % 0.37/0.67 % SZS output end Proof % 0.37/0.67 % cvc5 exiting %------------------------------------------------------------------------------