%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM461+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 : n023.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 08:39:29 AM UTC 2026 % Result : Theorem 0.95s 1.14s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM461+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:22:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.14 % SZS status Theorem % 0.95/1.14 % SZS output start Proof % 0.95/1.14 ( % 0.95/1.14 (declare-sort $$unsorted 0) % 0.95/1.14 (declare-const tptp.xm $$unsorted) % 0.95/1.14 (declare-const tptp.xl $$unsorted) % 0.95/1.14 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.xn $$unsorted) % 0.95/1.14 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.sz10 $$unsorted) % 0.95/1.14 (declare-const tptp.sz00 $$unsorted) % 0.95/1.14 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.95/1.14 (define @t1 () (@var "W0" $$unsorted)) % 0.95/1.14 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.95/1.14 (define @t3 () (@list @t1)) % 0.95/1.14 (define @t4 () (@var "W1" $$unsorted)) % 0.95/1.14 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.95/1.14 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 0.95/1.14 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 0.95/1.14 (define @t8 () (and @t2 @t7)) % 0.95/1.14 (define @t9 () (@list @t1 @t4)) % 0.95/1.14 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.95/1.14 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 0.95/1.14 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.95/1.14 (define @t13 () (= @t5 @t12)) % 0.95/1.14 (define @t14 () (forall @t9 (=> @t8 @t13))) % 0.95/1.14 (define @t15 () (@var "W2" $$unsorted)) % 0.95/1.14 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 0.95/1.14 (define @t17 () (= (tptp.sdtpldt0 @t5 @t15) (tptp.sdtpldt0 @t1 @t16))) % 0.95/1.14 (define @t18 () (tptp.aNaturalNumber0 @t15)) % 0.95/1.14 (define @t19 () (and @t2 @t7 @t18)) % 0.95/1.14 (define @t20 () (@list @t1 @t4 @t15)) % 0.95/1.14 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.95/1.14 (define @t22 () (tptp.sdtasdt0 @t4 @t1)) % 0.95/1.14 (define @t23 () (tptp.sdtasdt0 @t15 @t1)) % 0.95/1.14 (define @t24 () (tptp.sdtasdt0 @t1 @t15)) % 0.95/1.14 (define @t25 () (= @t4 @t15)) % 0.95/1.14 (define @t26 () (= @t12 (tptp.sdtpldt0 @t15 @t1))) % 0.95/1.14 (define @t27 () (tptp.sdtpldt0 @t1 @t15)) % 0.95/1.14 (define @t28 () (= @t5 @t27)) % 0.95/1.14 (define @t29 () (or @t28 @t26)) % 0.95/1.14 (define @t30 () (=> @t29 @t25)) % 0.95/1.14 (define @t31 () (forall @t20 (=> @t19 @t30))) % 0.95/1.14 (define @t32 () (and @t7 @t18)) % 0.95/1.14 (define @t33 () (= @t1 tptp.sz00)) % 0.95/1.14 (define @t34 () (= @t4 tptp.sz00)) % 0.95/1.14 (define @t35 () (and @t18 (= @t27 @t4))) % 0.95/1.15 (define @t36 () (@list @t15)) % 0.95/1.15 (define @t37 () (exists @t36 @t35)) % 0.95/1.15 (define @t38 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.95/1.15 (define @t39 () (= @t38 @t37)) % 0.95/1.15 (define @t40 () (=> @t8 @t39)) % 0.95/1.15 (define @t41 () (forall @t9 @t40)) % 0.95/1.15 (define @t42 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.95/1.15 (define @t43 () (tptp.aNaturalNumber0 tptp.xn)) % 0.95/1.15 (define @t44 () (tptp.aNaturalNumber0 tptp.xl)) % 0.95/1.15 (define @t45 () (tptp.sdtlseqdt0 tptp.xl tptp.xn)) % 0.95/1.15 (define @t46 () (= tptp.xl tptp.xn)) % 0.95/1.15 (define @t47 () (tptp.aNaturalNumber0 tptp.xm)) % 0.95/1.15 (define @t48 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.95/1.15 (define @t49 () (tptp.sdtpldt0 tptp.xl tptp.xm)) % 0.95/1.15 (define @t50 () (tptp.sdtlseqdt0 @t49 @t48)) % 0.95/1.15 (define @t51 () (not (= @t49 @t48))) % 0.95/1.15 (define @t52 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.95/1.15 (define @t53 () (tptp.sdtpldt0 tptp.xm tptp.xl)) % 0.95/1.15 (define @t54 () (tptp.sdtlseqdt0 @t53 @t52)) % 0.95/1.15 (define @t55 () (not (= @t53 @t52))) % 0.95/1.15 (define @t56 () (and @t55 @t54 @t51 @t50)) % 0.95/1.15 (define @t57 () (not @t56)) % 0.95/1.15 (define @t58 () (= @t4 @t27)) % 0.95/1.15 (define @t59 () (not @t18)) % 0.95/1.15 (define @t60 () (= @t38 (not (forall @t36 (or @t59 (not @t58)))))) % 0.95/1.15 (define @t61 () (not @t7)) % 0.95/1.15 (define @t62 () (not @t2)) % 0.95/1.15 (define @t63 () (or @t62 @t61)) % 0.95/1.15 (define @t64 () (not @t8)) % 0.95/1.15 (define @t65 () (and @t18 @t58)) % 0.95/1.15 (define @t66 () (forall @t36 (not @t65))) % 0.95/1.15 (define @t67 () (not @t66)) % 0.95/1.15 (define @t68 () (@list tptp.xn tptp.xm)) % 0.95/1.15 (define @t69 () (tptp.aNaturalNumber0 @t48)) % 0.95/1.15 (define @t70 () (not @t47)) % 0.95/1.15 (define @t71 () (not @t43)) % 0.95/1.15 (define @t72 () (or @t71 @t70 @t69)) % 0.95/1.15 (define @t73 () (@list false false false)) % 0.95/1.15 (define @t74 () (@list tptp.xl tptp.xm)) % 0.95/1.15 (define @t75 () (tptp.aNaturalNumber0 @t49)) % 0.95/1.15 (define @t76 () (not @t44)) % 0.95/1.15 (define @t77 () (or @t76 @t70 @t75)) % 0.95/1.15 (define @t78 () (forall @t36 (or @t59 (not (= @t48 (tptp.sdtpldt0 @t49 @t15)))))) % 0.95/1.15 (define @t79 () (not @t78)) % 0.95/1.15 (define @t80 () (= @t50 @t79)) % 0.95/1.15 (define @t81 () (not @t69)) % 0.95/1.15 (define @t82 () (not @t75)) % 0.95/1.15 (define @t83 () (or @t82 @t81 @t80)) % 0.95/1.15 (define @t84 () (forall @t36 (or @t59 (not (= tptp.xn (tptp.sdtpldt0 tptp.xl @t15)))))) % 0.95/1.15 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.95/1.15 (define @t86 () (= @t49 @t53)) % 0.95/1.15 (define @t87 () (or @t76 @t70 @t86)) % 0.95/1.15 (define @t88 () (tptp.sdtpldt0 @t53 @t85)) % 0.95/1.15 (define @t89 () (or @t62 @t61 @t59)) % 0.95/1.15 (define @t90 () (not @t19)) % 0.95/1.15 (define @t91 () (not @t84)) % 0.95/1.15 (define @t92 () (= @t45 @t91)) % 0.95/1.15 (define @t93 () (or @t76 @t71 @t92)) % 0.95/1.15 (define @t94 () (@list false false)) % 0.95/1.15 (define @t95 () (tptp.aNaturalNumber0 @t85)) % 0.95/1.15 (define @t96 () (tptp.sdtpldt0 tptp.xl @t85)) % 0.95/1.15 (define @t97 () (= tptp.xn @t96)) % 0.95/1.15 (define @t98 () (not @t97)) % 0.95/1.15 (define @t99 () (not @t95)) % 0.95/1.15 (define @t100 () (or @t99 @t98)) % 0.95/1.15 (define @t101 () (@list true)) % 0.95/1.15 (define @t102 () (@list @t100)) % 0.95/1.15 (define @t103 () (= @t88 (tptp.sdtpldt0 tptp.xm @t96))) % 0.95/1.15 (define @t104 () (or @t70 @t76 @t99 @t103)) % 0.95/1.15 (define @t105 () (= @t48 @t52)) % 0.95/1.15 (define @t106 () (or @t71 @t70 @t105)) % 0.95/1.15 (define @t107 () (= @t48 (tptp.sdtpldt0 @t49 @t85))) % 0.95/1.15 (define @t108 () (not @t107)) % 0.95/1.15 (define @t109 () (or @t99 @t108)) % 0.95/1.15 (define @t110 () (not @t109)) % 0.95/1.15 (define @t111 () (@list @t85)) % 0.95/1.15 (define @t112 () (not @t80)) % 0.95/1.15 (define @t113 () (@list true false)) % 0.95/1.15 (define @t114 () (tptp.aNaturalNumber0 @t52)) % 0.95/1.15 (define @t115 () (or @t70 @t71 @t114)) % 0.95/1.15 (define @t116 () (tptp.aNaturalNumber0 @t53)) % 0.95/1.15 (define @t117 () (or @t70 @t76 @t116)) % 0.95/1.15 (define @t118 () (forall @t36 (or @t59 (not (= @t52 (tptp.sdtpldt0 @t53 @t15)))))) % 0.95/1.15 (define @t119 () (not @t118)) % 0.95/1.15 (define @t120 () (= @t54 @t119)) % 0.95/1.15 (define @t121 () (not @t114)) % 0.95/1.15 (define @t122 () (not @t116)) % 0.95/1.15 (define @t123 () (or @t122 @t121 @t120)) % 0.95/1.15 (define @t124 () (= @t52 @t88)) % 0.95/1.15 (define @t125 () (not @t124)) % 0.95/1.15 (define @t126 () (or @t99 @t125)) % 0.95/1.15 (define @t127 () (not @t126)) % 0.95/1.15 (define @t128 () (not @t120)) % 0.95/1.15 (define @t129 () (not @t50)) % 0.95/1.15 (define @t130 () (= @t48 @t49)) % 0.95/1.15 (define @t131 () (not @t54)) % 0.95/1.15 (define @t132 () (= @t52 @t53)) % 0.95/1.15 (define @t133 () (not @t130)) % 0.95/1.15 (define @t134 () (not @t132)) % 0.95/1.15 (define @t135 () (not @t134)) % 0.95/1.15 (define @t136 () (not @t105)) % 0.95/1.15 (define @t137 () (not @t86)) % 0.95/1.15 (define @t138 () (and @t134 @t86 @t105)) % 0.95/1.15 (define @t139 () (and @t134 @t133)) % 0.95/1.15 (define @t140 () (not @t139)) % 0.95/1.15 (define @t141 () (@list false)) % 0.95/1.15 (define @t142 () (and (not @t28) (not @t26))) % 0.95/1.15 (define @t143 () (or @t62 @t61 @t59 @t142 @t25)) % 0.95/1.15 (define @t144 () (or @t70 @t71 @t76 @t139 (= tptp.xn tptp.xl))) % 0.95/1.15 (define @t145 () (forall @t20 @t143)) % 0.95/1.15 (define @t146 () (or @t70 @t71 @t76 @t139 @t46)) % 0.95/1.15 (assume @p1 (forall @t3 (=> @t2 true))) % 0.95/1.15 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.95/1.15 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.95/1.15 (assume @p4 @t10) % 0.95/1.15 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 0.95/1.15 (assume @p6 @t14) % 0.95/1.15 (assume @p7 @t21) % 0.95/1.15 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.95/1.15 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t22)))) % 0.95/1.15 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 0.95/1.15 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.95/1.15 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.95/1.15 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t24)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t22 @t23)))))) % 0.95/1.15 (assume @p14 @t31) % 0.95/1.15 (assume @p15 (forall @t3 (=> @t2 (=> (not @t33) (forall (@list @t4 @t15) (=> @t32 (=> (or (= @t11 @t24) (= @t22 @t23)) @t25))))))) % 0.95/1.15 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t33 @t34))))) % 0.95/1.15 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t33 @t34))))) % 0.95/1.15 (assume @p18 @t41) % 0.95/1.15 (assume @p19 (forall @t9 (=> @t8 (=> @t38 (forall @t36 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 0.95/1.15 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.95/1.15 (assume @p21 (forall @t9 (=> @t8 (=> (and @t38 @t42) (= @t1 @t4))))) % 0.95/1.15 (assume @p22 (forall @t20 (=> @t19 (=> (and @t38 (tptp.sdtlseqdt0 @t4 @t15)) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.95/1.15 (assume @p23 (forall @t9 (=> @t8 (or @t38 (and (not (= @t4 @t1)) @t42))))) % 0.95/1.15 (assume @p24 (and @t44 @t43)) % 0.95/1.15 (assume @p25 (and (not @t46) @t45)) % 0.95/1.15 (assume @p26 @t47) % 0.95/1.15 (assume @p27 @t57) % 0.95/1.15 (assume @p28 true) % 0.95/1.15 (step @p29 :rule and_elim :premises (@p24) :args (0)) % 0.95/1.15 (step @p30 :rule and_elim :premises (@p24) :args (1)) % 0.95/1.15 (step @p31 :rule and_elim :premises (@p25) :args (0)) % 0.95/1.15 (step @p32 :rule aci_norm :args ((= (or @t63 @t60) (or @t62 @t61 @t60)))) % 0.95/1.15 (step @p33 :rule refl :args (@t60)) % 0.95/1.15 (step @p34 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.95/1.15 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t64 @t60))) % 0.95/1.15 (step @p36 :rule trans :premises (@p35 @p32)) % 0.95/1.15 (step @p37 :rule bool-impl-elim :args (@t8 @t60)) % 0.95/1.15 (step @p38 :rule trans :premises (@p37 @p36)) % 0.95/1.15 (step @p39 :rule cong :premises (@p38) :args ((forall @t9 (=> @t8 @t60)))) % 0.95/1.15 (step @p40 :rule bool-and-de-morgan :args (@t18 @t58 true)) % 0.95/1.15 (step @p41 :rule cong :premises (@p40) :args (@t66)) % 0.95/1.15 (step @p42 :rule cong :premises (@p41) :args (@t67)) % 0.95/1.15 (step @p43 :rule exists-elim :args ((= (exists @t36 @t65) @t67))) % 0.95/1.15 (step @p44 :rule trans :premises (@p43 @p42)) % 0.95/1.15 (step @p45 :rule eq-symm :args (@t27 @t4)) % 0.95/1.15 (step @p46 :rule refl :args (@t18)) % 0.95/1.15 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t35)) % 0.95/1.15 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.95/1.15 (step @p49 :rule trans :premises (@p48 @p44)) % 0.95/1.15 (step @p50 :rule refl :args (@t38)) % 0.95/1.15 (step @p51 :rule cong :premises (@p50 @p49) :args (@t39)) % 0.95/1.15 (step @p52 :rule refl :args (@t8)) % 0.95/1.15 (step @p53 :rule cong :premises (@p52 @p51) :args (@t40)) % 0.95/1.15 (step @p54 :rule cong :premises (@p53) :args (@t41)) % 0.95/1.15 (step @p55 :rule trans :premises (@p54 @p39)) % 0.95/1.15 (step @p56 :rule eq_resolve :premises (@p18 @p55)) % 0.95/1.15 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t49 @t48))) % 0.95/1.15 (step @p58 :rule aci_norm :args ((= (or @t63 @t6) (or @t62 @t61 @t6)))) % 0.95/1.15 (step @p59 :rule refl :args (@t6)) % 0.95/1.15 (step @p60 :rule nary_cong :premises (@p34 @p59) :args ((or @t64 @t6))) % 0.95/1.15 (step @p61 :rule trans :premises (@p60 @p58)) % 0.95/1.15 (step @p62 :rule bool-impl-elim :args (@t8 @t6)) % 0.95/1.15 (step @p63 :rule trans :premises (@p62 @p61)) % 0.95/1.15 (step @p64 :rule cong :premises (@p63) :args (@t10)) % 0.95/1.15 (step @p65 :rule eq_resolve :premises (@p4 @p64)) % 0.95/1.15 (step @p66 :rule instantiate :premises (@p65) :args (@t68)) % 0.95/1.15 (step @p67 :rule cnf_or_pos :args (@t72)) % 0.95/1.15 (step @p68 :rule reordering :premises (@p67) :args ((or @t71 @t70 @t69 (not @t72)))) % 0.95/1.15 (step @p69 :rule chain_m_resolution :premises (@p68 @p30 @p26 @p66) :args (@t69 @t73 (@list @t43 @t47 @t72))) % 0.95/1.15 (step @p70 :rule instantiate :premises (@p65) :args (@t74)) % 0.95/1.15 (step @p71 :rule cnf_or_pos :args (@t77)) % 0.95/1.15 (step @p72 :rule reordering :premises (@p71) :args ((or @t76 @t70 @t75 (not @t77)))) % 0.95/1.15 (step @p73 :rule chain_m_resolution :premises (@p72 @p29 @p26 @p70) :args (@t75 @t73 (@list @t44 @t47 @t77))) % 0.95/1.15 (step @p74 :rule cnf_or_pos :args (@t83)) % 0.95/1.15 (step @p75 :rule reordering :premises (@p74) :args ((or @t82 @t81 @t80 (not @t83)))) % 0.95/1.15 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p69 @p57) :args (@t80 @t73 (@list @t75 @t69 @t83))) % 0.95/1.15 (step @p77 :rule refl :args (@t85)) % 0.95/1.15 (step @p78 :rule aci_norm :args ((= (or @t63 @t13) (or @t62 @t61 @t13)))) % 0.95/1.15 (step @p79 :rule refl :args (@t13)) % 0.95/1.15 (step @p80 :rule nary_cong :premises (@p34 @p79) :args ((or @t64 @t13))) % 0.95/1.15 (step @p81 :rule trans :premises (@p80 @p78)) % 0.95/1.15 (step @p82 :rule bool-impl-elim :args (@t8 @t13)) % 0.95/1.15 (step @p83 :rule trans :premises (@p82 @p81)) % 0.95/1.15 (step @p84 :rule cong :premises (@p83) :args (@t14)) % 0.95/1.15 (step @p85 :rule eq_resolve :premises (@p6 @p84)) % 0.95/1.15 (step @p86 :rule instantiate :premises (@p85) :args (@t74)) % 0.95/1.15 (step @p87 :rule cnf_or_pos :args (@t87)) % 0.95/1.15 (step @p88 :rule reordering :premises (@p87) :args ((or @t76 @t70 @t86 (not @t87)))) % 0.95/1.15 (step @p89 :rule chain_m_resolution :premises (@p88 @p29 @p26 @p86) :args (@t86 @t73 (@list @t44 @t47 @t87))) % 0.95/1.15 (step @p90 :rule symm :premises (@p89)) % 0.95/1.15 (step @p91 :rule cong :premises (@p90 @p77) :args (@t88)) % 0.95/1.15 (step @p92 :rule aci_norm :args ((= (or @t89 @t17) (or @t62 @t61 @t59 @t17)))) % 0.95/1.15 (step @p93 :rule refl :args (@t17)) % 0.95/1.15 (step @p94 :rule aci_norm :args ((= (or @t62 (or @t61 @t59)) @t89))) % 0.95/1.15 (step @p95 :rule bool-and-de-morgan :args (@t7 @t18 true)) % 0.95/1.15 (step @p96 :rule refl :args (@t62)) % 0.95/1.15 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t62 (not @t32)))) % 0.95/1.15 (step @p98 :rule bool-and-de-morgan :args (@t2 @t7 (and @t18))) % 0.95/1.15 (step @p99 :rule trans :premises (@p98 @p97)) % 0.95/1.15 (step @p100 :rule trans :premises (@p99 @p94)) % 0.95/1.15 (step @p101 :rule nary_cong :premises (@p100 @p93) :args ((or @t90 @t17))) % 0.95/1.15 (step @p102 :rule trans :premises (@p101 @p92)) % 0.95/1.15 (step @p103 :rule bool-impl-elim :args (@t19 @t17)) % 0.95/1.15 (step @p104 :rule trans :premises (@p103 @p102)) % 0.95/1.15 (step @p105 :rule cong :premises (@p104) :args (@t21)) % 0.95/1.15 (step @p106 :rule eq_resolve :premises (@p7 @p105)) % 0.95/1.15 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xm tptp.xl @t85))) % 0.95/1.15 (step @p108 :rule instantiate :premises (@p56) :args ((@list tptp.xl tptp.xn))) % 0.95/1.15 (step @p109 :rule cnf_or_pos :args (@t93)) % 0.95/1.15 (step @p110 :rule reordering :premises (@p109) :args ((or @t76 @t71 @t92 (not @t93)))) % 0.95/1.15 (step @p111 :rule chain_m_resolution :premises (@p110 @p29 @p30 @p108) :args (@t92 @t73 (@list @t44 @t43 @t93))) % 0.95/1.15 (step @p112 :rule and_elim :premises (@p25) :args (1)) % 0.95/1.15 (step @p113 :rule cnf_equiv_pos1 :args (@t92)) % 0.95/1.15 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t45) @t91 (not @t92)))) % 0.95/1.15 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p111) :args (@t91 @t94 (@list @t45 @t92))) % 0.95/1.15 (step @p116 :rule skolemize :premises (@p115)) % 0.95/1.15 (step @p117 :rule bool-double-not-elim :args (@t95)) % 0.95/1.15 (step @p118 :rule refl :args (@t100)) % 0.95/1.15 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t100 (not @t99)))) % 0.95/1.15 (step @p120 :rule cnf_or_neg :args (@t100 0)) % 0.95/1.15 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.95/1.15 (step @p122 :rule reordering :premises (@p121) :args ((or @t95 @t100))) % 0.95/1.15 (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t95 @t101 @t102)) % 0.95/1.15 (step @p124 :rule cnf_or_pos :args (@t104)) % 0.95/1.15 (step @p125 :rule reordering :premises (@p124) :args ((or @t76 @t70 @t99 @t103 (not @t104)))) % 0.95/1.15 (step @p126 :rule chain_m_resolution :premises (@p125 @p29 @p26 @p123 @p107) :args (@t103 (@list false false false false) (@list @t44 @t47 @t95 @t104))) % 0.95/1.15 (step @p127 :rule symm :premises (@p126)) % 0.95/1.15 (step @p128 :rule bool-double-not-elim :args (@t97)) % 0.95/1.15 (step @p129 :rule nary_cong :premises (@p118 @p128) :args ((or @t100 (not @t98)))) % 0.95/1.15 (step @p130 :rule cnf_or_neg :args (@t100 1)) % 0.95/1.15 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.95/1.15 (step @p132 :rule reordering :premises (@p131) :args ((or @t97 @t100))) % 0.95/1.15 (step @p133 :rule chain_m_resolution :premises (@p132 @p116) :args (@t97 @t101 @t102)) % 0.95/1.15 (step @p134 :rule refl :args (tptp.xm)) % 0.95/1.15 (step @p135 :rule cong :premises (@p134 @p133) :args (@t52)) % 0.95/1.15 (step @p136 :rule instantiate :premises (@p85) :args (@t68)) % 0.95/1.15 (step @p137 :rule cnf_or_pos :args (@t106)) % 0.95/1.15 (step @p138 :rule reordering :premises (@p137) :args ((or @t71 @t70 @t105 (not @t106)))) % 0.95/1.15 (step @p139 :rule chain_m_resolution :premises (@p138 @p30 @p26 @p136) :args (@t105 @t73 (@list @t43 @t47 @t106))) % 0.95/1.15 (step @p140 :rule trans :premises (@p139 @p135 @p127 @p91)) % 0.95/1.15 (step @p141 :rule cnf_or_pos :args (@t109)) % 0.95/1.15 (step @p142 :rule reordering :premises (@p141) :args ((or @t99 @t108 @t110))) % 0.95/1.15 (step @p143 :rule chain_m_resolution :premises (@p142 @p123 @p140) :args (@t110 @t94 (@list @t95 @t107))) % 0.95/1.15 (assume-push @p266 @t78) % 0.95/1.15 (step @p145 :rule instantiate :premises (@p266) :args (@t111)) % 0.95/1.15 (step-pop @p267 :rule scope :premises (@p145)) % 0.95/1.15 (step @p146 :rule process_scope :premises (@p267) :args (@t109)) % 0.95/1.15 (step @p148 :rule implies_elim :premises (@p146)) % 0.95/1.15 (step @p149 :rule chain_m_resolution :premises (@p148 @p143) :args (@t79 @t101 (@list @t109))) % 0.95/1.15 (step @p150 :rule bool-double-not-elim :args (@t78)) % 0.95/1.15 (step @p151 :rule refl :args (@t50)) % 0.95/1.15 (step @p152 :rule refl :args (@t112)) % 0.95/1.15 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args ((or @t112 @t50 (not @t79)))) % 0.95/1.15 (step @p154 :rule cnf_equiv_pos2 :args (@t80)) % 0.95/1.15 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.95/1.15 (step @p156 :rule reordering :premises (@p155) :args ((or @t50 @t78 @t112))) % 0.95/1.15 (step @p157 :rule chain_m_resolution :premises (@p156 @p149 @p76) :args (@t50 @t113 (@list @t78 @t80))) % 0.95/1.15 (step @p158 :rule instantiate :premises (@p56) :args ((@list @t53 @t52))) % 0.95/1.15 (step @p159 :rule instantiate :premises (@p65) :args ((@list tptp.xm tptp.xn))) % 0.95/1.15 (step @p160 :rule cnf_or_pos :args (@t115)) % 0.95/1.15 (step @p161 :rule reordering :premises (@p160) :args ((or @t71 @t70 @t114 (not @t115)))) % 0.95/1.15 (step @p162 :rule chain_m_resolution :premises (@p161 @p30 @p26 @p159) :args (@t114 @t73 (@list @t43 @t47 @t115))) % 0.95/1.15 (step @p163 :rule instantiate :premises (@p65) :args ((@list tptp.xm tptp.xl))) % 0.95/1.15 (step @p164 :rule cnf_or_pos :args (@t117)) % 0.95/1.15 (step @p165 :rule reordering :premises (@p164) :args ((or @t76 @t70 @t116 (not @t117)))) % 0.95/1.15 (step @p166 :rule chain_m_resolution :premises (@p165 @p29 @p26 @p163) :args (@t116 @t73 (@list @t44 @t47 @t117))) % 0.95/1.15 (step @p167 :rule cnf_or_pos :args (@t123)) % 0.95/1.15 (step @p168 :rule reordering :premises (@p167) :args ((or @t122 @t121 @t120 (not @t123)))) % 0.95/1.15 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p162 @p158) :args (@t120 @t73 (@list @t116 @t114 @t123))) % 0.95/1.15 (step @p170 :rule trans :premises (@p135 @p127)) % 0.95/1.15 (step @p171 :rule cnf_or_pos :args (@t126)) % 0.95/1.15 (step @p172 :rule reordering :premises (@p171) :args ((or @t99 @t125 @t127))) % 0.95/1.15 (step @p173 :rule chain_m_resolution :premises (@p172 @p123 @p170) :args (@t127 @t94 (@list @t95 @t124))) % 0.95/1.15 (assume-push @p268 @t118) % 0.95/1.15 (step @p175 :rule instantiate :premises (@p268) :args (@t111)) % 0.95/1.15 (step-pop @p269 :rule scope :premises (@p175)) % 0.95/1.15 (step @p176 :rule process_scope :premises (@p269) :args (@t126)) % 0.95/1.15 (step @p178 :rule implies_elim :premises (@p176)) % 0.95/1.15 (step @p179 :rule chain_m_resolution :premises (@p178 @p173) :args (@t119 @t101 (@list @t126))) % 0.95/1.15 (step @p180 :rule bool-double-not-elim :args (@t118)) % 0.95/1.15 (step @p181 :rule refl :args (@t54)) % 0.95/1.15 (step @p182 :rule refl :args (@t128)) % 0.95/1.15 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args ((or @t128 @t54 (not @t119)))) % 0.95/1.15 (step @p184 :rule cnf_equiv_pos2 :args (@t120)) % 0.95/1.15 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.95/1.15 (step @p186 :rule reordering :premises (@p185) :args ((or @t54 @t118 @t128))) % 0.95/1.15 (step @p187 :rule chain_m_resolution :premises (@p186 @p179 @p169) :args (@t54 @t113 (@list @t118 @t120))) % 0.95/1.15 (step @p188 :rule refl :args (@t129)) % 0.95/1.15 (step @p189 :rule bool-double-not-elim :args (@t130)) % 0.95/1.15 (step @p190 :rule refl :args (@t131)) % 0.95/1.15 (step @p191 :rule bool-double-not-elim :args (@t132)) % 0.95/1.15 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189 @p188) :args ((or @t135 @t131 (not @t133) @t129))) % 0.95/1.15 (step @p193 :rule eq-symm :args (@t49 @t48)) % 0.95/1.15 (step @p194 :rule cong :premises (@p193) :args (@t51)) % 0.95/1.15 (step @p195 :rule eq-symm :args (@t53 @t52)) % 0.95/1.15 (step @p196 :rule cong :premises (@p195) :args (@t55)) % 0.95/1.15 (step @p197 :rule nary_cong :premises (@p196 @p181 @p194 @p151) :args (@t56)) % 0.95/1.15 (step @p198 :rule cong :premises (@p197) :args (@t57)) % 0.95/1.15 (step @p199 :rule eq_resolve :premises (@p27 @p198)) % 0.95/1.15 (step @p200 :rule not_and :premises (@p199)) % 0.95/1.15 (step @p201 :rule eq_resolve :premises (@p200 @p192)) % 0.95/1.15 (step @p202 :rule reordering :premises (@p201) :args ((or @t132 @t130 @t131 @t129))) % 0.95/1.15 (step @p203 :rule refl :args (@t133)) % 0.95/1.15 (step @p204 :rule refl :args (@t136)) % 0.95/1.15 (step @p205 :rule refl :args (@t137)) % 0.95/1.15 (step @p206 :rule nary_cong :premises (@p191 @p205 @p204 @p203) :args ((or @t135 @t137 @t136 @t133))) % 0.95/1.15 (assume-push @p270 @t134) % 0.95/1.15 (assume-push @p271 @t86) % 0.95/1.15 (assume-push @p272 @t105) % 0.95/1.15 (assume-push @p273 @t134) % 0.95/1.15 (assume-push @p274 @t105) % 0.95/1.15 (assume-push @p275 @t86) % 0.95/1.15 (step @p213 :rule false_intro :premises (@p270)) % 0.95/1.15 (step @p214 :rule cong :premises (@p139 @p89) :args (@t130)) % 0.95/1.15 (step @p215 :rule trans :premises (@p214 @p213)) % 0.95/1.15 (step @p216 :rule false_elim :premises (@p215)) % 0.95/1.15 (step-pop @p276 :rule scope :premises (@p216)) % 0.95/1.15 (step-pop @p277 :rule scope :premises (@p276)) % 0.95/1.15 (step-pop @p278 :rule scope :premises (@p277)) % 0.95/1.15 (step @p217 :rule process_scope :premises (@p278) :args (@t133)) % 0.95/1.15 (step @p221 :rule and_intro :premises (@p270 @p139 @p89)) % 0.95/1.15 (step @p222 :rule modus_ponens :premises (@p221 @p217)) % 0.95/1.15 (step-pop @p279 :rule scope :premises (@p222)) % 0.95/1.15 (step-pop @p280 :rule scope :premises (@p279)) % 0.95/1.15 (step-pop @p281 :rule scope :premises (@p280)) % 0.95/1.15 (step @p223 :rule process_scope :premises (@p281) :args (@t133)) % 0.95/1.15 (step @p227 :rule implies_elim :premises (@p223)) % 0.95/1.15 (step @p228 :rule cnf_and_neg :args (@t138)) % 0.95/1.15 (step @p229 :rule resolution :premises (@p228 @p227) :args (true @t138)) % 0.95/1.15 (step @p230 :rule eq_resolve :premises (@p229 @p206)) % 0.95/1.15 (step @p231 :rule reordering :premises (@p230) :args ((or @t132 @t133 @t137 @t136))) % 0.95/1.15 (step @p232 :rule chain_m_resolution :premises (@p231 @p139 @p89 @p202 @p187 @p157) :args (@t132 (@list false false false false false) (@list @t105 @t86 @t130 @t54 @t50))) % 0.95/1.15 (step @p233 :rule cnf_and_pos :args (@t139 0)) % 0.95/1.15 (step @p234 :rule reordering :premises (@p233) :args ((or @t134 @t140))) % 0.95/1.15 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t140 @t141 (@list @t132))) % 0.95/1.15 (step @p236 :rule aci_norm :args ((= (or @t89 (or @t142 @t25)) @t143))) % 0.95/1.15 (step @p237 :rule refl :args (@t25)) % 0.95/1.15 (step @p238 :rule bool-or-de-morgan :args (@t28 @t26 false)) % 0.95/1.15 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or (not @t29) @t25))) % 0.95/1.15 (step @p240 :rule bool-impl-elim :args (@t29 @t25)) % 0.95/1.15 (step @p241 :rule trans :premises (@p240 @p239)) % 0.95/1.15 (step @p242 :rule nary_cong :premises (@p100 @p241) :args ((or @t90 @t30))) % 0.95/1.15 (step @p243 :rule trans :premises (@p242 @p236)) % 0.95/1.15 (step @p244 :rule bool-impl-elim :args (@t19 @t30)) % 0.95/1.15 (step @p245 :rule trans :premises (@p244 @p243)) % 0.95/1.15 (step @p246 :rule cong :premises (@p245) :args (@t31)) % 0.95/1.15 (step @p247 :rule eq_resolve :premises (@p14 @p246)) % 0.95/1.15 (step @p248 :rule eq-symm :args (tptp.xn tptp.xl)) % 0.95/1.15 (step @p249 :rule refl :args (@t139)) % 0.95/1.15 (step @p250 :rule refl :args (@t76)) % 0.95/1.15 (step @p251 :rule refl :args (@t71)) % 0.95/1.15 (step @p252 :rule refl :args (@t70)) % 0.95/1.15 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249 @p248) :args (@t144)) % 0.95/1.15 (step @p254 :rule refl :args (@t145)) % 0.95/1.15 (step @p255 :rule cong :premises (@p254 @p253) :args ((=> @t145 @t144))) % 0.95/1.15 (assume-push @p282 @t145) % 0.95/1.15 (step @p257 :rule instantiate :premises (@p247) :args ((@list tptp.xm tptp.xn tptp.xl))) % 0.95/1.15 (step-pop @p283 :rule scope :premises (@p257)) % 0.95/1.15 (step @p258 :rule process_scope :premises (@p283) :args (@t144)) % 0.95/1.15 (step @p260 :rule eq_resolve :premises (@p258 @p255)) % 0.95/1.15 (step @p261 :rule implies_elim :premises (@p260)) % 0.95/1.15 (step @p262 :rule chain_m_resolution :premises (@p261 @p247) :args (@t146 @t141 (@list @t145))) % 0.95/1.15 (step @p263 :rule cnf_or_pos :args (@t146)) % 0.95/1.15 (step @p264 :rule reordering :premises (@p263) :args ((or @t46 @t76 @t71 @t70 @t139 (not @t146)))) % 0.95/1.15 (step @p265 false :rule chain_m_resolution :premises (@p264 @p262 @p235 @p26 @p31 @p30 @p29) :args (false (@list false true false true false false) (@list @t146 @t139 @t47 @t46 @t43 @t44))) % 0.95/1.15 ) % 0.95/1.15 % SZS output end Proof % 0.95/1.15 % cvc5 exiting %------------------------------------------------------------------------------