%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM477+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:39:33 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM477+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 06:22:45 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.xm $$unsorted) % 0.15/0.38 (declare-const tptp.xn $$unsorted) % 0.15/0.38 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.sz10 $$unsorted) % 0.15/0.38 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.sz00 $$unsorted) % 0.15/0.38 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.15/0.38 (define @t1 () (@var "W0" $$unsorted)) % 0.15/0.38 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.15/0.38 (define @t3 () (@list @t1)) % 0.15/0.38 (define @t4 () (@var "W1" $$unsorted)) % 0.15/0.38 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.15/0.38 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.15/0.38 (define @t7 () (and @t2 @t6)) % 0.15/0.38 (define @t8 () (@list @t1 @t4)) % 0.15/0.38 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.15/0.38 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 0.15/0.38 (define @t11 () (@var "W2" $$unsorted)) % 0.15/0.38 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 0.15/0.38 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 0.15/0.38 (define @t14 () (and @t2 @t6 @t13)) % 0.15/0.38 (define @t15 () (@list @t1 @t4 @t11)) % 0.15/0.38 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 0.15/0.38 (define @t17 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.15/0.38 (define @t18 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.15/0.38 (define @t19 () (and (= @t18 tptp.sz00) @t17)) % 0.15/0.38 (define @t20 () (=> @t2 @t19)) % 0.15/0.38 (define @t21 () (forall @t3 @t20)) % 0.15/0.38 (define @t22 () (tptp.sdtasdt0 @t11 @t1)) % 0.15/0.38 (define @t23 () (tptp.sdtasdt0 @t1 @t11)) % 0.15/0.38 (define @t24 () (= @t4 @t11)) % 0.15/0.38 (define @t25 () (tptp.sdtpldt0 @t11 @t1)) % 0.15/0.38 (define @t26 () (tptp.sdtpldt0 @t1 @t11)) % 0.15/0.38 (define @t27 () (= @t16 @t22)) % 0.15/0.38 (define @t28 () (= @t9 @t23)) % 0.15/0.38 (define @t29 () (= @t1 tptp.sz00)) % 0.15/0.38 (define @t30 () (not @t29)) % 0.15/0.38 (define @t31 () (= @t4 tptp.sz00)) % 0.15/0.38 (define @t32 () (and @t13 (= @t26 @t4))) % 0.15/0.38 (define @t33 () (@list @t11)) % 0.15/0.38 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.15/0.38 (define @t35 () (= @t1 @t4)) % 0.15/0.38 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.15/0.38 (define @t37 () (tptp.sdtlseqdt0 @t4 @t11)) % 0.15/0.38 (define @t38 () (tptp.sdtpldt0 @t11 @t4)) % 0.15/0.38 (define @t39 () (and (not @t35) @t34)) % 0.15/0.38 (define @t40 () (tptp.sdtlseqdt0 @t4 @t16)) % 0.15/0.38 (define @t41 () (=> @t30 @t40)) % 0.15/0.38 (define @t42 () (forall @t8 (=> @t7 @t41))) % 0.15/0.38 (define @t43 () (tptp.iLess0 @t1 @t4)) % 0.15/0.38 (define @t44 () (and @t13 (= @t4 @t23))) % 0.15/0.38 (define @t45 () (tptp.doDivides0 @t1 @t4)) % 0.15/0.38 (define @t46 () (tptp.doDivides0 @t1 @t11)) % 0.15/0.38 (define @t47 () (tptp.doDivides0 @t1 @t12)) % 0.15/0.38 (define @t48 () (tptp.aNaturalNumber0 tptp.xm)) % 0.15/0.38 (define @t49 () (= tptp.xn (tptp.sdtasdt0 tptp.xm @t1))) % 0.15/0.38 (define @t50 () (and @t2 @t49)) % 0.15/0.38 (define @t51 () (exists @t3 @t50)) % 0.15/0.38 (define @t52 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 0.15/0.38 (define @t53 () (tptp.sdtpldt0 tptp.xm @t1)) % 0.15/0.38 (define @t54 () (and @t2 (= @t53 tptp.xn))) % 0.15/0.38 (define @t55 () (exists @t3 @t54)) % 0.15/0.38 (define @t56 () (or @t55 @t52)) % 0.15/0.38 (define @t57 () (not @t56)) % 0.15/0.38 (define @t58 () (forall @t3 (not @t50))) % 0.15/0.38 (define @t59 () (not @t58)) % 0.15/0.38 (define @t60 () (not @t2)) % 0.15/0.38 (define @t61 () (@quantifiers_skolemize (forall @t3 (or @t60 (not @t49))) 0)) % 0.15/0.38 (define @t62 () (tptp.sdtasdt0 tptp.xm @t61)) % 0.15/0.38 (define @t63 () (= tptp.xn @t62)) % 0.15/0.38 (define @t64 () (not @t63)) % 0.15/0.38 (define @t65 () (tptp.aNaturalNumber0 @t61)) % 0.15/0.38 (define @t66 () (not @t65)) % 0.15/0.38 (define @t67 () (or @t66 @t64)) % 0.15/0.38 (define @t68 () (@list true)) % 0.15/0.38 (define @t69 () (@list @t67)) % 0.15/0.38 (define @t70 () (not @t6)) % 0.15/0.38 (define @t71 () (or @t60 @t70 @t29 @t40)) % 0.15/0.38 (define @t72 () (tptp.sdtlseqdt0 tptp.xm @t62)) % 0.15/0.38 (define @t73 () (not @t48)) % 0.15/0.38 (define @t74 () (or @t66 @t73 (= @t61 tptp.sz00) @t72)) % 0.15/0.38 (define @t75 () (forall @t8 @t71)) % 0.15/0.38 (define @t76 () (= tptp.sz00 @t61)) % 0.15/0.38 (define @t77 () (or @t66 @t73 @t76 @t72)) % 0.15/0.38 (define @t78 () (@list false)) % 0.15/0.38 (define @t79 () (= tptp.xn @t53)) % 0.15/0.38 (define @t80 () (and @t2 @t79)) % 0.15/0.38 (define @t81 () (forall @t3 (not @t80))) % 0.15/0.38 (define @t82 () (not @t81)) % 0.15/0.38 (define @t83 () (and (= tptp.sz00 @t18) @t17)) % 0.15/0.38 (define @t84 () (tptp.sdtasdt0 tptp.xm tptp.sz00)) % 0.15/0.38 (define @t85 () (= tptp.sz00 @t84)) % 0.15/0.38 (define @t86 () (and @t85 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 0.15/0.38 (define @t87 () (or @t73 @t86)) % 0.15/0.38 (define @t88 () (not @t85)) % 0.15/0.38 (define @t89 () (not @t76)) % 0.15/0.38 (define @t90 () (= tptp.sz00 tptp.xn)) % 0.15/0.38 (define @t91 () (not @t90)) % 0.15/0.38 (define @t92 () (and @t91 @t63 @t76)) % 0.15/0.38 (assume @p1 (forall @t3 (=> @t2 true))) % 0.15/0.38 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.15/0.38 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.15/0.38 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.15/0.38 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 0.15/0.38 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 0.15/0.38 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.15/0.38 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.15/0.38 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t16)))) % 0.15/0.38 (assume @p10 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 0.15/0.38 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.15/0.38 (assume @p12 @t21) % 0.15/0.38 (assume @p13 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t23)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t22)))))) % 0.15/0.38 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t26) (= @t10 @t25)) @t24)))) % 0.15/0.38 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t11) (=> (and @t6 @t13) (=> (or @t28 @t27) @t24))))))) % 0.15/0.38 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 0.15/0.38 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 0.15/0.38 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 0.15/0.38 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 0.15/0.38 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.15/0.38 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 0.15/0.38 (assume @p22 (forall @t15 (=> @t14 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t11))))) % 0.15/0.38 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not (= @t4 @t1)) @t36))))) % 0.15/0.38 (assume @p24 (forall @t8 (=> @t7 (=> @t39 (forall @t33 (=> @t13 (and (not (= @t25 @t38)) (tptp.sdtlseqdt0 @t25 @t38) (not (= @t26 @t12)) (tptp.sdtlseqdt0 @t26 @t12)))))))) % 0.15/0.38 (assume @p25 (forall @t15 (=> @t14 (=> (and @t30 (not @t24) @t37) (and (not @t28) (tptp.sdtlseqdt0 @t9 @t23) (not @t27) (tptp.sdtlseqdt0 @t16 @t22)))))) % 0.15/0.38 (assume @p26 (forall @t3 (=> @t2 (or @t29 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.15/0.38 (assume @p27 @t42) % 0.15/0.38 (assume @p28 (forall @t8 (=> @t7 (=> @t43 true)))) % 0.15/0.38 (assume @p29 (forall @t8 (=> @t7 (=> @t39 @t43)))) % 0.15/0.38 (assume @p30 (forall @t8 (=> @t7 (= @t45 (exists @t33 @t44))))) % 0.15/0.38 (assume @p31 (forall @t8 (=> @t7 (=> (and @t30 @t45) (forall @t33 (= (= @t11 (tptp.sdtsldt0 @t4 @t1)) @t44)))))) % 0.15/0.38 (assume @p32 (forall @t15 (=> @t14 (=> (and @t45 (tptp.doDivides0 @t4 @t11)) @t46)))) % 0.15/0.38 (assume @p33 (forall @t15 (=> @t14 (=> (and @t45 @t46) @t47)))) % 0.15/0.38 (assume @p34 (forall @t15 (=> @t14 (=> (and @t45 @t47) @t46)))) % 0.15/0.38 (assume @p35 (and @t48 (tptp.aNaturalNumber0 tptp.xn))) % 0.15/0.38 (assume @p36 (and @t51 (tptp.doDivides0 tptp.xm tptp.xn) (not (= tptp.xn tptp.sz00)))) % 0.15/0.38 (assume @p37 @t57) % 0.15/0.38 (assume @p38 true) % 0.15/0.38 (step @p39 :rule and_elim :premises (@p36) :args (2)) % 0.15/0.38 (step @p40 :rule symm :premises (@p39)) % 0.15/0.38 (step @p41 :rule bool-and-de-morgan :args (@t2 @t49 true)) % 0.15/0.38 (step @p42 :rule cong :premises (@p41) :args (@t58)) % 0.15/0.38 (step @p43 :rule cong :premises (@p42) :args (@t59)) % 0.15/0.38 (step @p44 :rule exists-elim :args ((= @t51 @t59))) % 0.15/0.38 (step @p45 :rule trans :premises (@p44 @p43)) % 0.15/0.38 (step @p46 :rule and_elim :premises (@p36) :args (0)) % 0.15/0.38 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.15/0.38 (step @p48 :rule skolemize :premises (@p47)) % 0.15/0.38 (step @p49 :rule bool-double-not-elim :args (@t63)) % 0.15/0.38 (step @p50 :rule refl :args (@t67)) % 0.15/0.38 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t67 (not @t64)))) % 0.15/0.38 (step @p52 :rule cnf_or_neg :args (@t67 1)) % 0.15/0.38 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.15/0.38 (step @p54 :rule reordering :premises (@p53) :args ((or @t63 @t67))) % 0.15/0.38 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t63 @t68 @t69)) % 0.15/0.38 (step @p56 :rule aci_norm :args ((= (or (or @t60 @t70) (or @t29 @t40)) @t71))) % 0.15/0.38 (step @p57 :rule refl :args (@t40)) % 0.15/0.38 (step @p58 :rule bool-double-not-elim :args (@t29)) % 0.15/0.38 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t30) @t40))) % 0.15/0.38 (step @p60 :rule bool-impl-elim :args (@t30 @t40)) % 0.15/0.38 (step @p61 :rule trans :premises (@p60 @p59)) % 0.15/0.38 (step @p62 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.15/0.38 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t7) @t41))) % 0.15/0.38 (step @p64 :rule trans :premises (@p63 @p56)) % 0.15/0.38 (step @p65 :rule bool-impl-elim :args (@t7 @t41)) % 0.15/0.38 (step @p66 :rule trans :premises (@p65 @p64)) % 0.15/0.38 (step @p67 :rule cong :premises (@p66) :args (@t42)) % 0.15/0.38 (step @p68 :rule eq_resolve :premises (@p27 @p67)) % 0.15/0.38 (step @p69 :rule refl :args (@t72)) % 0.15/0.38 (step @p70 :rule eq-symm :args (@t61 tptp.sz00)) % 0.15/0.38 (step @p71 :rule refl :args (@t73)) % 0.15/0.38 (step @p72 :rule refl :args (@t66)) % 0.15/0.38 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69) :args (@t74)) % 0.15/0.38 (step @p74 :rule refl :args (@t75)) % 0.15/0.38 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t75 @t74))) % 0.15/0.38 (assume-push @p155 @t75) % 0.15/0.38 (step @p77 :rule instantiate :premises (@p68) :args ((@list @t61 tptp.xm))) % 0.15/0.38 (step-pop @p156 :rule scope :premises (@p77)) % 0.15/0.38 (step @p78 :rule process_scope :premises (@p156) :args (@t74)) % 0.15/0.38 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.15/0.38 (step @p81 :rule implies_elim :premises (@p80)) % 0.15/0.38 (step @p82 :rule chain_m_resolution :premises (@p81 @p68) :args (@t77 @t78 (@list @t75))) % 0.15/0.38 (step @p83 :rule refl :args (@t52)) % 0.15/0.38 (step @p84 :rule bool-and-de-morgan :args (@t2 @t79 true)) % 0.15/0.38 (step @p85 :rule cong :premises (@p84) :args (@t81)) % 0.15/0.38 (step @p86 :rule cong :premises (@p85) :args (@t82)) % 0.15/0.38 (step @p87 :rule exists-elim :args ((= (exists @t3 @t80) @t82))) % 0.15/0.38 (step @p88 :rule trans :premises (@p87 @p86)) % 0.15/0.38 (step @p89 :rule eq-symm :args (@t53 tptp.xn)) % 0.15/0.38 (step @p90 :rule refl :args (@t2)) % 0.15/0.38 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t54)) % 0.15/0.38 (step @p92 :rule cong :premises (@p91) :args (@t55)) % 0.15/0.38 (step @p93 :rule trans :premises (@p92 @p88)) % 0.15/0.38 (step @p94 :rule nary_cong :premises (@p93 @p83) :args (@t56)) % 0.15/0.38 (step @p95 :rule cong :premises (@p94) :args (@t57)) % 0.15/0.38 (step @p96 :rule eq_resolve :premises (@p37 @p95)) % 0.15/0.38 (step @p97 :rule not_or_elim :premises (@p96) :args (1)) % 0.15/0.38 (step @p98 :rule false_intro :premises (@p97)) % 0.15/0.38 (step @p99 :rule symm :premises (@p55)) % 0.15/0.38 (step @p100 :rule refl :args (tptp.xm)) % 0.15/0.38 (step @p101 :rule cong :premises (@p100 @p99) :args (@t72)) % 0.15/0.38 (step @p102 :rule trans :premises (@p101 @p98)) % 0.15/0.38 (step @p103 :rule false_elim :premises (@p102)) % 0.15/0.38 (step @p104 :rule bool-double-not-elim :args (@t65)) % 0.15/0.38 (step @p105 :rule nary_cong :premises (@p50 @p104) :args ((or @t67 (not @t66)))) % 0.15/0.38 (step @p106 :rule cnf_or_neg :args (@t67 0)) % 0.15/0.38 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.15/0.38 (step @p108 :rule reordering :premises (@p107) :args ((or @t65 @t67))) % 0.15/0.38 (step @p109 :rule chain_m_resolution :premises (@p108 @p48) :args (@t65 @t68 @t69)) % 0.15/0.38 (step @p110 :rule and_elim :premises (@p35) :args (0)) % 0.15/0.38 (step @p111 :rule cnf_or_pos :args (@t77)) % 0.15/0.38 (step @p112 :rule reordering :premises (@p111) :args ((or @t73 @t66 @t76 @t72 (not @t77)))) % 0.15/0.38 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p109 @p103 @p82) :args (@t76 (@list false false true false) (@list @t48 @t65 @t72 @t77))) % 0.15/0.38 (step @p114 :rule bool-impl-elim :args (@t2 @t83)) % 0.15/0.38 (step @p115 :rule cong :premises (@p114) :args ((forall @t3 (=> @t2 @t83)))) % 0.15/0.38 (step @p116 :rule refl :args (@t17)) % 0.15/0.38 (step @p117 :rule eq-symm :args (@t18 tptp.sz00)) % 0.15/0.38 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t19)) % 0.15/0.38 (step @p119 :rule cong :premises (@p90 @p118) :args (@t20)) % 0.15/0.38 (step @p120 :rule cong :premises (@p119) :args (@t21)) % 0.15/0.38 (step @p121 :rule trans :premises (@p120 @p115)) % 0.15/0.38 (step @p122 :rule eq_resolve :premises (@p12 @p121)) % 0.15/0.38 (step @p123 :rule instantiate :premises (@p122) :args ((@list tptp.xm))) % 0.15/0.38 (step @p124 :rule cnf_or_pos :args (@t87)) % 0.15/0.38 (step @p125 :rule reordering :premises (@p124) :args ((or @t73 @t86 (not @t87)))) % 0.15/0.38 (step @p126 :rule chain_m_resolution :premises (@p125 @p110 @p123) :args (@t86 (@list false false) (@list @t48 @t87))) % 0.15/0.38 (step @p127 :rule cnf_and_pos :args (@t86 0)) % 0.15/0.38 (step @p128 :rule reordering :premises (@p127) :args ((or @t85 (not @t86)))) % 0.15/0.38 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t85 @t78 (@list @t86))) % 0.15/0.38 (step @p130 :rule refl :args (@t88)) % 0.15/0.38 (step @p131 :rule refl :args (@t89)) % 0.15/0.38 (step @p132 :rule refl :args (@t64)) % 0.15/0.38 (step @p133 :rule bool-double-not-elim :args (@t90)) % 0.15/0.38 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args ((or (not @t91) @t64 @t89 @t88))) % 0.15/0.38 (assume-push @p157 @t91) % 0.15/0.38 (assume-push @p158 @t63) % 0.15/0.38 (assume-push @p159 @t76) % 0.15/0.38 (step @p138 :rule false_intro :premises (@p40)) % 0.15/0.38 (step @p139 :rule cong :premises (@p100 @p113) :args (@t84)) % 0.15/0.38 (step @p140 :rule trans :premises (@p139 @p99)) % 0.15/0.38 (step @p141 :rule refl :args (tptp.sz00)) % 0.15/0.38 (step @p142 :rule cong :premises (@p141 @p140) :args (@t85)) % 0.15/0.38 (step @p143 :rule trans :premises (@p142 @p138)) % 0.15/0.38 (step @p144 :rule false_elim :premises (@p143)) % 0.15/0.38 (step-pop @p160 :rule scope :premises (@p144)) % 0.15/0.38 (step-pop @p161 :rule scope :premises (@p160)) % 0.15/0.38 (step-pop @p162 :rule scope :premises (@p161)) % 0.15/0.38 (step @p145 :rule process_scope :premises (@p162) :args (@t88)) % 0.15/0.38 (step @p149 :rule implies_elim :premises (@p145)) % 0.15/0.38 (step @p150 :rule cnf_and_neg :args (@t92)) % 0.15/0.38 (step @p151 :rule resolution :premises (@p150 @p149) :args (true @t92)) % 0.15/0.38 (step @p152 :rule eq_resolve :premises (@p151 @p134)) % 0.15/0.38 (step @p153 :rule reordering :premises (@p152) :args ((or @t90 @t64 @t88 @t89))) % 0.15/0.38 (step @p154 false :rule chain_m_resolution :premises (@p153 @p129 @p113 @p55 @p40) :args (false (@list false false false true) (@list @t85 @t76 @t63 @t90))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------