%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM465+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 : n025.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 08:39:30 AM UTC 2026 % Result : Theorem 0.38s 0.63s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : NUM465+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.32 % Computer : n025.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 11:22:16 EDT 2026 % 0.14/0.33 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.63 % SZS status Theorem % 0.38/0.63 % SZS output start Proof % 0.38/0.63 ( % 0.38/0.63 (declare-sort $$unsorted 0) % 0.38/0.63 (declare-const tptp.xm $$unsorted) % 0.38/0.63 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.xn $$unsorted) % 0.38/0.63 (declare-const tptp.sz10 $$unsorted) % 0.38/0.63 (declare-const tptp.sz00 $$unsorted) % 0.38/0.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.63 (define @t3 () (@list @t1)) % 0.38/0.63 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 0.38/0.63 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.63 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.63 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.38/0.63 (define @t8 () (and @t2 @t7)) % 0.38/0.63 (define @t9 () (@list @t1 @t5)) % 0.38/0.63 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.63 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 0.38/0.63 (define @t12 () (forall @t9 (=> @t8 @t11))) % 0.38/0.63 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 0.38/0.63 (define @t14 () (@var "W2" $$unsorted)) % 0.38/0.63 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 0.38/0.63 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 0.38/0.63 (define @t17 () (and @t2 @t7 @t16)) % 0.38/0.63 (define @t18 () (@list @t1 @t5 @t14)) % 0.38/0.63 (define @t19 () (tptp.sdtasdt0 @t5 @t1)) % 0.38/0.63 (define @t20 () (= @t10 @t19)) % 0.38/0.63 (define @t21 () (forall @t9 (=> @t8 @t20))) % 0.38/0.63 (define @t22 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.38/0.63 (define @t23 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.38/0.63 (define @t24 () (and (= @t23 @t1) @t22)) % 0.38/0.63 (define @t25 () (=> @t2 @t24)) % 0.38/0.63 (define @t26 () (forall @t3 @t25)) % 0.38/0.63 (define @t27 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.38/0.63 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.38/0.63 (define @t29 () (and (= @t28 tptp.sz00) @t27)) % 0.38/0.63 (define @t30 () (=> @t2 @t29)) % 0.38/0.63 (define @t31 () (forall @t3 @t30)) % 0.38/0.63 (define @t32 () (tptp.sdtasdt0 @t14 @t1)) % 0.38/0.63 (define @t33 () (tptp.sdtasdt0 @t1 @t14)) % 0.38/0.63 (define @t34 () (= @t5 @t14)) % 0.38/0.63 (define @t35 () (tptp.sdtpldt0 @t14 @t1)) % 0.38/0.63 (define @t36 () (tptp.sdtpldt0 @t1 @t14)) % 0.38/0.63 (define @t37 () (= @t19 @t32)) % 0.38/0.63 (define @t38 () (= @t10 @t33)) % 0.38/0.63 (define @t39 () (and @t7 @t16)) % 0.38/0.63 (define @t40 () (= @t1 tptp.sz00)) % 0.38/0.63 (define @t41 () (not @t40)) % 0.38/0.63 (define @t42 () (= @t5 tptp.sz00)) % 0.38/0.63 (define @t43 () (and @t16 (= @t36 @t5))) % 0.38/0.63 (define @t44 () (@list @t14)) % 0.38/0.63 (define @t45 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.38/0.63 (define @t46 () (= @t1 @t5)) % 0.38/0.63 (define @t47 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.38/0.63 (define @t48 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.38/0.63 (define @t49 () (not (= @t5 @t1))) % 0.38/0.63 (define @t50 () (and @t49 @t47)) % 0.38/0.63 (define @t51 () (or @t45 @t50)) % 0.38/0.63 (define @t52 () (=> @t8 @t51)) % 0.38/0.63 (define @t53 () (forall @t9 @t52)) % 0.38/0.63 (define @t54 () (tptp.sdtpldt0 @t14 @t5)) % 0.38/0.63 (define @t55 () (not @t46)) % 0.38/0.63 (define @t56 () (and (not @t38) (tptp.sdtlseqdt0 @t10 @t33) (not @t37) (tptp.sdtlseqdt0 @t19 @t32))) % 0.38/0.63 (define @t57 () (not @t34)) % 0.38/0.63 (define @t58 () (and @t41 @t57 @t48)) % 0.38/0.63 (define @t59 () (=> @t58 @t56)) % 0.38/0.63 (define @t60 () (forall @t18 (=> @t17 @t59))) % 0.38/0.63 (define @t61 () (tptp.aNaturalNumber0 tptp.xn)) % 0.38/0.63 (define @t62 () (tptp.aNaturalNumber0 tptp.xm)) % 0.38/0.63 (define @t63 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xm)) % 0.38/0.63 (define @t64 () (not (= tptp.xm tptp.sz00))) % 0.38/0.63 (define @t65 () (=> @t64 @t63)) % 0.38/0.63 (define @t66 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.38/0.63 (define @t67 () (tptp.sdtlseqdt0 tptp.xn @t66)) % 0.38/0.63 (define @t68 () (=> @t64 @t67)) % 0.38/0.63 (define @t69 () (not @t68)) % 0.38/0.63 (define @t70 () (and (= @t1 @t23) @t22)) % 0.38/0.63 (define @t71 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 0.38/0.63 (define @t72 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 0.38/0.63 (define @t73 () (= tptp.xn @t72)) % 0.38/0.63 (define @t74 () (and @t73 (= tptp.xn @t71))) % 0.38/0.63 (define @t75 () (not @t61)) % 0.38/0.63 (define @t76 () (or @t75 @t74)) % 0.38/0.63 (define @t77 () (@list false false)) % 0.38/0.63 (define @t78 () (@list false)) % 0.38/0.63 (define @t79 () (not @t48)) % 0.38/0.63 (define @t80 () (not @t16)) % 0.38/0.63 (define @t81 () (not @t7)) % 0.38/0.63 (define @t82 () (not @t2)) % 0.38/0.63 (define @t83 () (or @t82 @t81 @t80 @t40 @t34 @t79 @t56)) % 0.38/0.63 (define @t84 () (or @t40 @t34 @t79 @t56)) % 0.38/0.63 (define @t85 () (or @t82 @t81 @t80)) % 0.38/0.63 (define @t86 () (not @t57)) % 0.38/0.63 (define @t87 () (not @t41)) % 0.38/0.63 (define @t88 () (or @t87 @t86 @t79)) % 0.38/0.63 (define @t89 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 0.38/0.63 (define @t90 () (tptp.sdtlseqdt0 @t71 @t89)) % 0.38/0.63 (define @t91 () (not (= @t71 @t89))) % 0.38/0.63 (define @t92 () (tptp.sdtlseqdt0 @t72 @t66)) % 0.38/0.63 (define @t93 () (not (= @t72 @t66))) % 0.38/0.63 (define @t94 () (and @t93 @t92 @t91 @t90)) % 0.38/0.63 (define @t95 () (not @t63)) % 0.38/0.63 (define @t96 () (= tptp.sz10 tptp.xm)) % 0.38/0.63 (define @t97 () (not @t62)) % 0.38/0.63 (define @t98 () (not @t4)) % 0.38/0.63 (define @t99 () (or @t75 @t98 @t97 (= tptp.xn tptp.sz00) @t96 @t95 @t94)) % 0.38/0.63 (define @t100 () (forall @t18 @t83)) % 0.38/0.63 (define @t101 () (and (not (= @t66 @t72)) @t92 (not (= @t89 @t71)) @t90)) % 0.38/0.63 (define @t102 () (= tptp.sz00 tptp.xn)) % 0.38/0.63 (define @t103 () (or @t75 @t98 @t97 @t102 @t96 @t95 @t101)) % 0.38/0.63 (define @t104 () (and @t55 @t47)) % 0.38/0.63 (define @t105 () (or @t45 @t104)) % 0.38/0.63 (define @t106 () (or @t82 @t81)) % 0.38/0.63 (define @t107 () (not @t8)) % 0.38/0.63 (define @t108 () (@list tptp.xn tptp.xm)) % 0.38/0.63 (define @t109 () (tptp.aNaturalNumber0 @t66)) % 0.38/0.63 (define @t110 () (or @t75 @t97 @t109)) % 0.38/0.63 (define @t111 () (@list false false false)) % 0.38/0.63 (define @t112 () (= tptp.xn @t66)) % 0.38/0.63 (define @t113 () (not @t112)) % 0.38/0.63 (define @t114 () (and @t113 (tptp.sdtlseqdt0 @t66 tptp.xn))) % 0.38/0.63 (define @t115 () (not @t109)) % 0.38/0.63 (define @t116 () (or @t75 @t115 @t67 @t114)) % 0.38/0.63 (define @t117 () (and @t73 @t96)) % 0.38/0.63 (define @t118 () (not @t73)) % 0.38/0.63 (define @t119 () (not @t96)) % 0.38/0.63 (define @t120 () (and (= tptp.sz00 @t28) @t27)) % 0.38/0.63 (define @t121 () (tptp.sdtasdt0 tptp.xm tptp.sz00)) % 0.38/0.63 (define @t122 () (= tptp.sz00 @t121)) % 0.38/0.63 (define @t123 () (and @t122 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 0.38/0.63 (define @t124 () (or @t97 @t123)) % 0.38/0.63 (define @t125 () (= @t66 @t89)) % 0.38/0.63 (define @t126 () (or @t75 @t97 @t125)) % 0.38/0.63 (define @t127 () (and @t125 @t122 @t102)) % 0.38/0.63 (define @t128 () (not @t102)) % 0.38/0.63 (define @t129 () (= tptp.sz00 tptp.xm)) % 0.38/0.63 (define @t130 () (not @t92)) % 0.38/0.63 (define @t131 () (not @t67)) % 0.38/0.63 (define @t132 () (and @t92 @t73 @t131)) % 0.38/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.38/0.63 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 0.38/0.63 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.38/0.63 (assume @p5 @t12) % 0.38/0.63 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 0.35/0.63 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 0.35/0.63 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.35/0.63 (assume @p9 @t21) % 0.35/0.63 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 0.35/0.63 (assume @p11 @t26) % 0.35/0.63 (assume @p12 @t31) % 0.35/0.63 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t33)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t19 @t32)))))) % 0.35/0.63 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t36) (= @t13 @t35)) @t34)))) % 0.35/0.63 (assume @p15 (forall @t3 (=> @t2 (=> @t41 (forall (@list @t5 @t14) (=> @t39 (=> (or @t38 @t37) @t34))))))) % 0.35/0.63 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t40 @t42))))) % 0.35/0.63 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t40 @t42))))) % 0.35/0.63 (assume @p18 (forall @t9 (=> @t8 (= @t45 (exists @t44 @t43))))) % 0.35/0.63 (assume @p19 (forall @t9 (=> @t8 (=> @t45 (forall @t44 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t43)))))) % 0.35/0.63 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.35/0.63 (assume @p21 (forall @t9 (=> @t8 (=> (and @t45 @t47) @t46)))) % 0.35/0.63 (assume @p22 (forall @t18 (=> @t17 (=> (and @t45 @t48) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.35/0.63 (assume @p23 @t53) % 0.35/0.63 (assume @p24 (forall @t9 (=> @t8 (=> (and @t55 @t45) (forall @t44 (=> @t16 (and (not (= @t35 @t54)) (tptp.sdtlseqdt0 @t35 @t54) (not (= @t36 @t15)) (tptp.sdtlseqdt0 @t36 @t15)))))))) % 0.35/0.63 (assume @p25 @t60) % 0.35/0.63 (assume @p26 (forall @t3 (=> @t2 (or @t40 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.35/0.63 (assume @p27 (and @t62 @t61)) % 0.35/0.63 (assume @p28 @t65) % 0.35/0.63 (assume @p29 @t69) % 0.35/0.63 (assume @p30 true) % 0.35/0.63 (step @p31 :rule refl :args (@t67)) % 0.35/0.63 (step @p32 :rule eq-symm :args (tptp.xm tptp.sz00)) % 0.35/0.63 (step @p33 :rule cong :premises (@p32) :args (@t64)) % 0.35/0.63 (step @p34 :rule cong :premises (@p33 @p31) :args (@t68)) % 0.35/0.63 (step @p35 :rule cong :premises (@p34) :args (@t69)) % 0.35/0.63 (step @p36 :rule eq_resolve :premises (@p29 @p35)) % 0.35/0.63 (step @p37 :rule not_implies_elim2 :premises (@p36)) % 0.35/0.63 (step @p38 :rule bool-impl-elim :args (@t2 @t70)) % 0.35/0.63 (step @p39 :rule cong :premises (@p38) :args ((forall @t3 (=> @t2 @t70)))) % 0.35/0.63 (step @p40 :rule refl :args (@t22)) % 0.35/0.63 (step @p41 :rule eq-symm :args (@t23 @t1)) % 0.35/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t24)) % 0.35/0.63 (step @p43 :rule refl :args (@t2)) % 0.35/0.63 (step @p44 :rule cong :premises (@p43 @p42) :args (@t25)) % 0.35/0.63 (step @p45 :rule cong :premises (@p44) :args (@t26)) % 0.35/0.63 (step @p46 :rule trans :premises (@p45 @p39)) % 0.35/0.63 (step @p47 :rule eq_resolve :premises (@p11 @p46)) % 0.35/0.63 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.xn))) % 0.35/0.63 (step @p49 :rule and_elim :premises (@p27) :args (1)) % 0.35/0.63 (step @p50 :rule cnf_or_pos :args (@t76)) % 0.35/0.63 (step @p51 :rule reordering :premises (@p50) :args ((or @t75 @t74 (not @t76)))) % 0.35/0.63 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t74 @t77 (@list @t61 @t76))) % 0.35/0.63 (step @p53 :rule cnf_and_pos :args (@t74 0)) % 0.35/0.63 (step @p54 :rule reordering :premises (@p53) :args ((or @t73 (not @t74)))) % 0.35/0.63 (step @p55 :rule chain_m_resolution :premises (@p54 @p52) :args (@t73 @t78 (@list @t74))) % 0.35/0.63 (step @p56 :rule aci_norm :args ((= (or @t85 @t84) @t83))) % 0.35/0.63 (step @p57 :rule aci_norm :args ((= (or (or @t40 @t34 @t79) @t56) @t84))) % 0.35/0.63 (step @p58 :rule refl :args (@t56)) % 0.35/0.63 (step @p59 :rule refl :args (@t79)) % 0.35/0.63 (step @p60 :rule bool-double-not-elim :args (@t34)) % 0.35/0.63 (step @p61 :rule bool-double-not-elim :args (@t40)) % 0.35/0.63 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t88)) % 0.35/0.63 (step @p63 :rule aci_norm :args ((= (or @t87 (or @t86 @t79)) @t88))) % 0.35/0.63 (step @p64 :rule trans :premises (@p63 @p62)) % 0.35/0.63 (step @p65 :rule bool-and-de-morgan :args (@t57 @t48 true)) % 0.35/0.63 (step @p66 :rule refl :args (@t87)) % 0.35/0.63 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t87 (not (and @t57 @t48))))) % 0.35/0.63 (step @p68 :rule bool-and-de-morgan :args (@t41 @t57 (and @t48))) % 0.35/0.63 (step @p69 :rule trans :premises (@p68 @p67)) % 0.35/0.63 (step @p70 :rule trans :premises (@p69 @p64)) % 0.35/0.63 (step @p71 :rule nary_cong :premises (@p70 @p58) :args ((or (not @t58) @t56))) % 0.35/0.63 (step @p72 :rule trans :premises (@p71 @p57)) % 0.35/0.63 (step @p73 :rule bool-impl-elim :args (@t58 @t56)) % 0.35/0.63 (step @p74 :rule trans :premises (@p73 @p72)) % 0.35/0.63 (step @p75 :rule aci_norm :args ((= (or @t82 (or @t81 @t80)) @t85))) % 0.35/0.63 (step @p76 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 0.35/0.63 (step @p77 :rule refl :args (@t82)) % 0.35/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t82 (not @t39)))) % 0.35/0.63 (step @p79 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 0.35/0.63 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/0.63 (step @p81 :rule trans :premises (@p80 @p75)) % 0.35/0.63 (step @p82 :rule nary_cong :premises (@p81 @p74) :args ((or (not @t17) @t59))) % 0.35/0.63 (step @p83 :rule trans :premises (@p82 @p56)) % 0.35/0.63 (step @p84 :rule bool-impl-elim :args (@t17 @t59)) % 0.35/0.63 (step @p85 :rule trans :premises (@p84 @p83)) % 0.35/0.63 (step @p86 :rule cong :premises (@p85) :args (@t60)) % 0.35/0.63 (step @p87 :rule eq_resolve :premises (@p25 @p86)) % 0.35/0.63 (step @p88 :rule refl :args (@t90)) % 0.35/0.63 (step @p89 :rule eq-symm :args (@t71 @t89)) % 0.35/0.63 (step @p90 :rule cong :premises (@p89) :args (@t91)) % 0.35/0.63 (step @p91 :rule refl :args (@t92)) % 0.35/0.63 (step @p92 :rule eq-symm :args (@t72 @t66)) % 0.35/0.63 (step @p93 :rule cong :premises (@p92) :args (@t93)) % 0.35/0.63 (step @p94 :rule nary_cong :premises (@p93 @p91 @p90 @p88) :args (@t94)) % 0.35/0.63 (step @p95 :rule refl :args (@t95)) % 0.35/0.63 (step @p96 :rule refl :args (@t96)) % 0.35/0.63 (step @p97 :rule eq-symm :args (tptp.xn tptp.sz00)) % 0.35/0.63 (step @p98 :rule refl :args (@t97)) % 0.35/0.63 (step @p99 :rule refl :args (@t98)) % 0.35/0.63 (step @p100 :rule refl :args (@t75)) % 0.35/0.63 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p96 @p95 @p94) :args (@t99)) % 0.35/0.63 (step @p102 :rule refl :args (@t100)) % 0.35/0.63 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t100 @t99))) % 0.35/0.63 (assume-push @p273 @t100) % 0.35/0.63 (step @p105 :rule instantiate :premises (@p87) :args ((@list tptp.xn tptp.sz10 tptp.xm))) % 0.35/0.63 (step-pop @p274 :rule scope :premises (@p105)) % 0.35/0.63 (step @p106 :rule process_scope :premises (@p274) :args (@t99)) % 0.35/0.63 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.35/0.63 (step @p109 :rule implies_elim :premises (@p108)) % 0.35/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p87) :args (@t103 @t78 (@list @t100))) % 0.35/0.63 (step @p111 :rule aci_norm :args ((= (or @t106 @t105) (or @t82 @t81 @t45 @t104)))) % 0.35/0.63 (step @p112 :rule refl :args (@t105)) % 0.35/0.63 (step @p113 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.35/0.63 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t107 @t105))) % 0.35/0.63 (step @p115 :rule trans :premises (@p114 @p111)) % 0.35/0.63 (step @p116 :rule bool-impl-elim :args (@t8 @t105)) % 0.35/0.63 (step @p117 :rule trans :premises (@p116 @p115)) % 0.35/0.63 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 (=> @t8 @t105)))) % 0.35/0.63 (step @p119 :rule refl :args (@t47)) % 0.35/0.63 (step @p120 :rule eq-symm :args (@t5 @t1)) % 0.35/0.63 (step @p121 :rule cong :premises (@p120) :args (@t49)) % 0.35/0.63 (step @p122 :rule nary_cong :premises (@p121 @p119) :args (@t50)) % 0.35/0.63 (step @p123 :rule refl :args (@t45)) % 0.35/0.63 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t51)) % 0.35/0.63 (step @p125 :rule refl :args (@t8)) % 0.35/0.63 (step @p126 :rule cong :premises (@p125 @p124) :args (@t52)) % 0.35/0.63 (step @p127 :rule cong :premises (@p126) :args (@t53)) % 0.35/0.63 (step @p128 :rule trans :premises (@p127 @p118)) % 0.35/0.63 (step @p129 :rule eq_resolve :premises (@p23 @p128)) % 0.35/0.63 (step @p130 :rule instantiate :premises (@p129) :args ((@list tptp.xn @t66))) % 0.35/0.63 (step @p131 :rule aci_norm :args ((= (or @t106 @t11) (or @t82 @t81 @t11)))) % 0.35/0.63 (step @p132 :rule refl :args (@t11)) % 0.35/0.63 (step @p133 :rule nary_cong :premises (@p113 @p132) :args ((or @t107 @t11))) % 0.35/0.63 (step @p134 :rule trans :premises (@p133 @p131)) % 0.35/0.63 (step @p135 :rule bool-impl-elim :args (@t8 @t11)) % 0.35/0.63 (step @p136 :rule trans :premises (@p135 @p134)) % 0.35/0.63 (step @p137 :rule cong :premises (@p136) :args (@t12)) % 0.35/0.63 (step @p138 :rule eq_resolve :premises (@p5 @p137)) % 0.35/0.63 (step @p139 :rule instantiate :premises (@p138) :args (@t108)) % 0.35/0.63 (step @p140 :rule and_elim :premises (@p27) :args (0)) % 0.35/0.63 (step @p141 :rule cnf_or_pos :args (@t110)) % 0.35/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t97 @t75 @t109 (not @t110)))) % 0.35/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p49 @p139) :args (@t109 @t111 (@list @t62 @t61 @t110))) % 0.35/0.63 (step @p144 :rule cnf_or_pos :args (@t116)) % 0.35/0.63 (step @p145 :rule reordering :premises (@p144) :args ((or @t67 @t75 @t115 @t114 (not @t116)))) % 0.35/0.63 (step @p146 :rule chain_m_resolution :premises (@p145 @p37 @p49 @p143 @p130) :args (@t114 (@list true false false false) (@list @t67 @t61 @t109 @t116))) % 0.35/0.63 (step @p147 :rule cnf_and_pos :args (@t114 0)) % 0.35/0.63 (step @p148 :rule reordering :premises (@p147) :args ((or @t113 (not @t114)))) % 0.35/0.63 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t113 @t78 (@list @t114))) % 0.35/0.63 (assume-push @p275 @t73) % 0.35/0.63 (assume-push @p276 @t96) % 0.35/0.63 (assume-push @p277 @t96) % 0.35/0.63 (assume-push @p278 @t73) % 0.35/0.63 (step @p154 :rule refl :args (tptp.xn)) % 0.35/0.63 (step @p155 :rule cong :premises (@p154 @p276) :args (@t72)) % 0.35/0.63 (step @p156 :rule trans :premises (@p55 @p155)) % 0.35/0.63 (step-pop @p279 :rule scope :premises (@p156)) % 0.35/0.63 (step-pop @p280 :rule scope :premises (@p279)) % 0.35/0.63 (step @p157 :rule process_scope :premises (@p280) :args (@t112)) % 0.35/0.63 (step @p160 :rule and_intro :premises (@p276 @p55)) % 0.35/0.63 (step @p161 :rule modus_ponens :premises (@p160 @p157)) % 0.35/0.63 (step-pop @p281 :rule scope :premises (@p161)) % 0.35/0.63 (step-pop @p282 :rule scope :premises (@p281)) % 0.35/0.63 (step @p162 :rule process_scope :premises (@p282) :args (@t112)) % 0.35/0.63 (step @p165 :rule implies_elim :premises (@p162)) % 0.35/0.63 (step @p166 :rule cnf_and_neg :args (@t117)) % 0.35/0.63 (step @p167 :rule resolution :premises (@p166 @p165) :args (true @t117)) % 0.35/0.63 (step @p168 :rule reordering :premises (@p167) :args ((or @t112 @t119 @t118))) % 0.35/0.63 (step @p169 :rule chain_m_resolution :premises (@p168 @p149 @p55) :args (@t119 (@list true false) (@list @t112 @t73))) % 0.35/0.63 (step @p170 :rule bool-impl-elim :args (@t2 @t120)) % 0.35/0.63 (step @p171 :rule cong :premises (@p170) :args ((forall @t3 (=> @t2 @t120)))) % 0.35/0.63 (step @p172 :rule refl :args (@t27)) % 0.35/0.63 (step @p173 :rule eq-symm :args (@t28 tptp.sz00)) % 0.35/0.63 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t29)) % 0.35/0.63 (step @p175 :rule cong :premises (@p43 @p174) :args (@t30)) % 0.35/0.63 (step @p176 :rule cong :premises (@p175) :args (@t31)) % 0.35/0.63 (step @p177 :rule trans :premises (@p176 @p171)) % 0.35/0.63 (step @p178 :rule eq_resolve :premises (@p12 @p177)) % 0.35/0.63 (step @p179 :rule instantiate :premises (@p178) :args ((@list tptp.xm))) % 0.35/0.63 (step @p180 :rule cnf_or_pos :args (@t124)) % 0.35/0.63 (step @p181 :rule reordering :premises (@p180) :args ((or @t97 @t123 (not @t124)))) % 0.35/0.63 (step @p182 :rule chain_m_resolution :premises (@p181 @p140 @p179) :args (@t123 @t77 (@list @t62 @t124))) % 0.35/0.63 (step @p183 :rule cnf_and_pos :args (@t123 0)) % 0.35/0.63 (step @p184 :rule reordering :premises (@p183) :args ((or @t122 (not @t123)))) % 0.35/0.63 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args (@t122 @t78 (@list @t123))) % 0.35/0.63 (step @p186 :rule aci_norm :args ((= (or @t106 @t20) (or @t82 @t81 @t20)))) % 0.35/0.63 (step @p187 :rule refl :args (@t20)) % 0.35/0.63 (step @p188 :rule nary_cong :premises (@p113 @p187) :args ((or @t107 @t20))) % 0.35/0.63 (step @p189 :rule trans :premises (@p188 @p186)) % 0.35/0.63 (step @p190 :rule bool-impl-elim :args (@t8 @t20)) % 0.35/0.63 (step @p191 :rule trans :premises (@p190 @p189)) % 0.35/0.63 (step @p192 :rule cong :premises (@p191) :args (@t21)) % 0.35/0.63 (step @p193 :rule eq_resolve :premises (@p9 @p192)) % 0.35/0.63 (step @p194 :rule instantiate :premises (@p193) :args (@t108)) % 0.35/0.63 (step @p195 :rule cnf_or_pos :args (@t126)) % 0.35/0.63 (step @p196 :rule reordering :premises (@p195) :args ((or @t97 @t75 @t125 (not @t126)))) % 0.35/0.63 (step @p197 :rule chain_m_resolution :premises (@p196 @p140 @p49 @p194) :args (@t125 @t111 (@list @t62 @t61 @t126))) % 0.35/0.63 (assume-push @p283 @t125) % 0.35/0.63 (assume-push @p284 @t122) % 0.35/0.63 (assume-push @p285 @t102) % 0.35/0.63 (assume-push @p286 @t125) % 0.35/0.63 (assume-push @p287 @t102) % 0.35/0.63 (assume-push @p288 @t122) % 0.35/0.63 (step @p204 :rule symm :premises (@p197)) % 0.35/0.63 (step @p205 :rule refl :args (tptp.xm)) % 0.35/0.63 (step @p206 :rule cong :premises (@p205 @p285) :args (@t121)) % 0.35/0.63 (step @p207 :rule symm :premises (@p285)) % 0.35/0.63 (step @p208 :rule trans :premises (@p207 @p185 @p206 @p204)) % 0.35/0.63 (step-pop @p289 :rule scope :premises (@p208)) % 0.35/0.63 (step-pop @p290 :rule scope :premises (@p289)) % 0.35/0.63 (step-pop @p291 :rule scope :premises (@p290)) % 0.35/0.63 (step @p209 :rule process_scope :premises (@p291) :args (@t112)) % 0.35/0.63 (step @p213 :rule and_intro :premises (@p197 @p285 @p185)) % 0.35/0.63 (step @p214 :rule modus_ponens :premises (@p213 @p209)) % 0.35/0.63 (step-pop @p292 :rule scope :premises (@p214)) % 0.35/0.63 (step-pop @p293 :rule scope :premises (@p292)) % 0.35/0.63 (step-pop @p294 :rule scope :premises (@p293)) % 0.35/0.63 (step @p215 :rule process_scope :premises (@p294) :args (@t112)) % 0.35/0.63 (step @p219 :rule implies_elim :premises (@p215)) % 0.35/0.63 (step @p220 :rule cnf_and_neg :args (@t127)) % 0.35/0.63 (step @p221 :rule resolution :premises (@p220 @p219) :args (true @t127)) % 0.35/0.63 (step @p222 :rule reordering :premises (@p221) :args ((or @t112 (not @t125) (not @t122) @t128))) % 0.35/0.63 (step @p223 :rule chain_m_resolution :premises (@p222 @p149 @p197 @p185) :args (@t128 (@list true false false) (@list @t112 @t125 @t122))) % 0.35/0.63 (step @p224 :rule not_implies_elim1 :premises (@p36)) % 0.35/0.63 (step @p225 :rule refl :args (@t63)) % 0.35/0.63 (step @p226 :rule bool-double-not-elim :args (@t129)) % 0.35/0.63 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or (not (not @t129)) @t63))) % 0.35/0.63 (step @p228 :rule cong :premises (@p33 @p225) :args (@t65)) % 0.35/0.63 (step @p229 :rule eq_resolve :premises (@p28 @p228)) % 0.35/0.63 (step @p230 :rule implies_elim :premises (@p229)) % 0.35/0.63 (step @p231 :rule eq_resolve :premises (@p230 @p227)) % 0.35/0.63 (step @p232 :rule reordering :premises (@p231) :args ((or @t63 @t129))) % 0.35/0.63 (step @p233 :rule chain_m_resolution :premises (@p232 @p224) :args (@t63 (@list true) (@list @t129))) % 0.35/0.63 (step @p234 :rule and_elim :premises (@p3) :args (0)) % 0.35/0.63 (step @p235 :rule cnf_or_pos :args (@t103)) % 0.35/0.63 (step @p236 :rule reordering :premises (@p235) :args ((or @t98 @t97 @t75 @t95 @t102 @t96 @t101 (not @t103)))) % 0.35/0.63 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p140 @p49 @p233 @p223 @p169 @p110) :args (@t101 (@list false false false false true true false) (@list @t4 @t62 @t61 @t63 @t102 @t96 @t103))) % 0.35/0.63 (step @p238 :rule cnf_and_pos :args (@t101 1)) % 0.35/0.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t92 (not @t101)))) % 0.35/0.63 (step @p240 :rule chain_m_resolution :premises (@p239 @p237) :args (@t92 @t78 (@list @t101))) % 0.35/0.63 (step @p241 :rule refl :args (@t130)) % 0.35/0.63 (step @p242 :rule refl :args (@t118)) % 0.35/0.63 (step @p243 :rule bool-double-not-elim :args (@t67)) % 0.35/0.63 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241) :args ((or (not @t131) @t118 @t130))) % 0.35/0.63 (assume-push @p295 @t92) % 0.35/0.63 (assume-push @p296 @t73) % 0.35/0.63 (assume-push @p297 @t131) % 0.35/0.63 (step @p248 :rule evaluate :args ((= false true))) % 0.35/0.63 (step @p249 :rule true_intro :premises (@p295)) % 0.35/0.63 (step @p250 :rule refl :args (@t66)) % 0.35/0.63 (step @p251 :rule cong :premises (@p55 @p250) :args (@t67)) % 0.35/0.63 (step @p252 :rule false_intro :premises (@p37)) % 0.35/0.63 (step @p253 :rule symm :premises (@p252)) % 0.35/0.63 (step @p254 :rule trans :premises (@p253 @p251 @p249)) % 0.35/0.63 (step @p255 false :rule eq_resolve :premises (@p254 @p248)) % 0.35/0.63 (step-pop @p298 :rule scope :premises (@p255)) % 0.35/0.63 (step-pop @p299 :rule scope :premises (@p298)) % 0.35/0.63 (step-pop @p300 :rule scope :premises (@p299)) % 0.35/0.63 (step @p256 :rule process_scope :premises (@p300) :args (false)) % 0.35/0.63 (assume-push @p301 @t131) % 0.35/0.63 (assume-push @p302 @t73) % 0.35/0.63 (assume-push @p303 @t92) % 0.35/0.63 (step @p263 :rule and_intro :premises (@p303 @p55 @p37)) % 0.35/0.63 (step-pop @p304 :rule scope :premises (@p263)) % 0.35/0.63 (step-pop @p305 :rule scope :premises (@p304)) % 0.35/0.63 (step-pop @p306 :rule scope :premises (@p305)) % 0.35/0.63 (step @p264 :rule process_scope :premises (@p306) :args (@t132)) % 0.35/0.63 (step @p268 :rule implies_elim :premises (@p264)) % 0.35/0.63 (step @p269 :rule resolution :premises (@p268 @p256) :args (true @t132)) % 0.35/0.63 (step @p270 :rule not_and :premises (@p269)) % 0.35/0.63 (step @p271 :rule eq_resolve :premises (@p270 @p244)) % 0.35/0.63 (step @p272 false :rule chain_m_resolution :premises (@p271 @p240 @p55 @p37) :args (false (@list false false true) (@list @t92 @t73 @t67))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------