%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM479+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 : 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 08:39:33 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM479+2 : 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 11:23:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.xn $$unsorted) % 0.45/0.68 (declare-const tptp.xl $$unsorted) % 0.45/0.68 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.sz10 $$unsorted) % 0.45/0.68 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.sz00 $$unsorted) % 0.45/0.68 (declare-const tptp.xm $$unsorted) % 0.45/0.68 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.45/0.68 (define @t1 () (@var "W0" $$unsorted)) % 0.45/0.68 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.45/0.68 (define @t3 () (@list @t1)) % 0.45/0.68 (define @t4 () (@var "W1" $$unsorted)) % 0.45/0.68 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.45/0.68 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.45/0.68 (define @t7 () (and @t2 @t6)) % 0.45/0.68 (define @t8 () (@list @t1 @t4)) % 0.45/0.68 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.45/0.68 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 0.45/0.68 (define @t11 () (@var "W2" $$unsorted)) % 0.45/0.68 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 0.45/0.68 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 0.45/0.68 (define @t14 () (and @t2 @t6 @t13)) % 0.45/0.68 (define @t15 () (@list @t1 @t4 @t11)) % 0.45/0.68 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 0.45/0.68 (define @t17 () (= @t9 @t16)) % 0.45/0.68 (define @t18 () (forall @t8 (=> @t7 @t17))) % 0.45/0.68 (define @t19 () (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))) % 0.45/0.68 (define @t20 () (forall @t15 (=> @t14 @t19))) % 0.45/0.68 (define @t21 () (tptp.sdtasdt0 @t11 @t1)) % 0.45/0.68 (define @t22 () (tptp.sdtasdt0 @t1 @t11)) % 0.45/0.68 (define @t23 () (= @t4 @t11)) % 0.45/0.68 (define @t24 () (tptp.sdtpldt0 @t11 @t1)) % 0.45/0.68 (define @t25 () (tptp.sdtpldt0 @t1 @t11)) % 0.45/0.68 (define @t26 () (= @t16 @t21)) % 0.45/0.68 (define @t27 () (= @t9 @t22)) % 0.45/0.68 (define @t28 () (and @t6 @t13)) % 0.45/0.68 (define @t29 () (= @t1 tptp.sz00)) % 0.45/0.68 (define @t30 () (not @t29)) % 0.45/0.68 (define @t31 () (= @t4 tptp.sz00)) % 0.45/0.68 (define @t32 () (and @t13 (= @t25 @t4))) % 0.45/0.68 (define @t33 () (@list @t11)) % 0.45/0.68 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.45/0.68 (define @t35 () (= @t1 @t4)) % 0.45/0.68 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.45/0.68 (define @t37 () (tptp.sdtlseqdt0 @t4 @t11)) % 0.45/0.68 (define @t38 () (tptp.sdtpldt0 @t11 @t4)) % 0.45/0.68 (define @t39 () (and (not @t35) @t34)) % 0.45/0.68 (define @t40 () (tptp.iLess0 @t1 @t4)) % 0.45/0.68 (define @t41 () (and @t13 (= @t4 @t22))) % 0.45/0.68 (define @t42 () (tptp.doDivides0 @t1 @t4)) % 0.45/0.68 (define @t43 () (tptp.doDivides0 @t1 @t11)) % 0.45/0.68 (define @t44 () (tptp.doDivides0 @t1 @t12)) % 0.45/0.68 (define @t45 () (tptp.aNaturalNumber0 tptp.xl)) % 0.45/0.68 (define @t46 () (tptp.aNaturalNumber0 tptp.xn)) % 0.45/0.68 (define @t47 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.45/0.68 (define @t48 () (tptp.sdtsldt0 @t47 tptp.xl)) % 0.45/0.68 (define @t49 () (tptp.sdtasdt0 tptp.xl @t48)) % 0.45/0.68 (define @t50 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 0.45/0.68 (define @t51 () (tptp.sdtasdt0 tptp.xl tptp.xn)) % 0.45/0.68 (define @t52 () (tptp.sdtasdt0 @t51 @t50)) % 0.45/0.68 (define @t53 () (= @t47 @t49)) % 0.45/0.68 (define @t54 () (and (tptp.aNaturalNumber0 @t48) @t53)) % 0.45/0.68 (define @t55 () (=> @t54 (= @t52 @t49))) % 0.45/0.68 (define @t56 () (tptp.sdtasdt0 tptp.xl @t50)) % 0.45/0.68 (define @t57 () (= tptp.xm @t56)) % 0.45/0.68 (define @t58 () (tptp.aNaturalNumber0 @t50)) % 0.45/0.68 (define @t59 () (and @t58 @t57)) % 0.45/0.68 (define @t60 () (=> @t59 @t55)) % 0.45/0.68 (define @t61 () (not @t60)) % 0.45/0.68 (define @t62 () (not @t6)) % 0.45/0.68 (define @t63 () (not @t2)) % 0.45/0.68 (define @t64 () (tptp.sdtasdt0 tptp.xn tptp.xl)) % 0.45/0.68 (define @t65 () (= @t51 @t64)) % 0.45/0.68 (define @t66 () (not @t46)) % 0.45/0.68 (define @t67 () (not @t45)) % 0.45/0.68 (define @t68 () (or @t67 @t66 @t65)) % 0.45/0.68 (define @t69 () (not @t13)) % 0.45/0.68 (define @t70 () (or @t63 @t62 @t69)) % 0.45/0.68 (define @t71 () (tptp.sdtasdt0 tptp.xn @t56)) % 0.45/0.68 (define @t72 () (tptp.sdtasdt0 @t64 @t50)) % 0.45/0.68 (define @t73 () (= @t72 @t71)) % 0.45/0.68 (define @t74 () (not @t58)) % 0.45/0.68 (define @t75 () (or @t66 @t67 @t74 @t73)) % 0.45/0.68 (define @t76 () (not @t73)) % 0.45/0.68 (define @t77 () (not @t65)) % 0.45/0.68 (define @t78 () (= @t49 @t52)) % 0.45/0.68 (define @t79 () (not @t53)) % 0.45/0.68 (define @t80 () (not @t57)) % 0.45/0.68 (define @t81 () (not @t78)) % 0.45/0.68 (define @t82 () (= @t71 @t72)) % 0.45/0.68 (define @t83 () (not @t82)) % 0.45/0.68 (define @t84 () (and @t73 @t76)) % 0.45/0.68 (assume @p1 (forall @t3 (=> @t2 true))) % 0.45/0.68 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.45/0.68 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.45/0.68 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.45/0.68 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 0.45/0.68 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 0.45/0.68 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.45/0.68 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.45/0.68 (assume @p9 @t18) % 0.45/0.68 (assume @p10 @t20) % 0.45/0.68 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.45/0.68 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.45/0.68 (assume @p13 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t22)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t21)))))) % 0.45/0.68 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t25) (= @t10 @t24)) @t23)))) % 0.45/0.68 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t11) (=> @t28 (=> (or @t27 @t26) @t23))))))) % 0.45/0.68 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 0.45/0.68 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 0.45/0.68 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 0.45/0.68 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 0.45/0.68 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.45/0.68 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 0.45/0.68 (assume @p22 (forall @t15 (=> @t14 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t11))))) % 0.45/0.68 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not (= @t4 @t1)) @t36))))) % 0.45/0.68 (assume @p24 (forall @t8 (=> @t7 (=> @t39 (forall @t33 (=> @t13 (and (not (= @t24 @t38)) (tptp.sdtlseqdt0 @t24 @t38) (not (= @t25 @t12)) (tptp.sdtlseqdt0 @t25 @t12)))))))) % 0.45/0.68 (assume @p25 (forall @t15 (=> @t14 (=> (and @t30 (not @t23) @t37) (and (not @t27) (tptp.sdtlseqdt0 @t9 @t22) (not @t26) (tptp.sdtlseqdt0 @t16 @t21)))))) % 0.45/0.68 (assume @p26 (forall @t3 (=> @t2 (or @t29 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.45/0.68 (assume @p27 (forall @t8 (=> @t7 (=> @t30 (tptp.sdtlseqdt0 @t4 @t16))))) % 0.45/0.68 (assume @p28 (forall @t8 (=> @t7 (=> @t40 true)))) % 0.45/0.68 (assume @p29 (forall @t8 (=> @t7 (=> @t39 @t40)))) % 0.45/0.68 (assume @p30 (forall @t8 (=> @t7 (= @t42 (exists @t33 @t41))))) % 0.45/0.68 (assume @p31 (forall @t8 (=> @t7 (=> (and @t30 @t42) (forall @t33 (= (= @t11 (tptp.sdtsldt0 @t4 @t1)) @t41)))))) % 0.45/0.68 (assume @p32 (forall @t15 (=> @t14 (=> (and @t42 (tptp.doDivides0 @t4 @t11)) @t43)))) % 0.45/0.68 (assume @p33 (forall @t15 (=> @t14 (=> (and @t42 @t43) @t44)))) % 0.45/0.68 (assume @p34 (forall @t15 (=> @t14 (=> (and @t42 @t44) @t43)))) % 0.45/0.68 (assume @p35 (forall @t8 (=> @t7 (=> (and @t42 (not @t31)) @t34)))) % 0.45/0.68 (assume @p36 (and @t45 (tptp.aNaturalNumber0 tptp.xm))) % 0.45/0.68 (assume @p37 (and (not (= tptp.xl tptp.sz00)) (exists @t3 (and @t2 (= tptp.xm (tptp.sdtasdt0 tptp.xl @t1)))) (tptp.doDivides0 tptp.xl tptp.xm))) % 0.45/0.68 (assume @p38 @t46) % 0.45/0.68 (assume @p39 @t61) % 0.45/0.68 (assume @p40 true) % 0.45/0.68 (step @p41 :rule eq-symm :args (@t52 @t49)) % 0.45/0.68 (step @p42 :rule refl :args (@t54)) % 0.45/0.68 (step @p43 :rule cong :premises (@p42 @p41) :args (@t55)) % 0.45/0.68 (step @p44 :rule refl :args (@t59)) % 0.45/0.68 (step @p45 :rule cong :premises (@p44 @p43) :args (@t60)) % 0.45/0.68 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 0.45/0.68 (step @p47 :rule eq_resolve :premises (@p39 @p46)) % 0.45/0.68 (step @p48 :rule not_implies_elim1 :premises (@p47)) % 0.45/0.68 (step @p49 :rule and_elim :premises (@p48) :args (1)) % 0.45/0.68 (step @p50 :rule not_implies_elim2 :premises (@p47)) % 0.45/0.68 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.45/0.68 (step @p52 :rule and_elim :premises (@p51) :args (1)) % 0.45/0.68 (step @p53 :rule not_implies_elim2 :premises (@p50)) % 0.45/0.68 (step @p54 :rule aci_norm :args ((= (or (or @t63 @t62) @t17) (or @t63 @t62 @t17)))) % 0.45/0.68 (step @p55 :rule refl :args (@t17)) % 0.45/0.68 (step @p56 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.45/0.68 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t7) @t17))) % 0.45/0.68 (step @p58 :rule trans :premises (@p57 @p54)) % 0.45/0.68 (step @p59 :rule bool-impl-elim :args (@t7 @t17)) % 0.45/0.68 (step @p60 :rule trans :premises (@p59 @p58)) % 0.45/0.68 (step @p61 :rule cong :premises (@p60) :args (@t18)) % 0.45/0.68 (step @p62 :rule eq_resolve :premises (@p9 @p61)) % 0.45/0.68 (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.xl tptp.xn))) % 0.45/0.68 (step @p64 :rule and_elim :premises (@p36) :args (0)) % 0.45/0.68 (step @p65 :rule cnf_or_pos :args (@t68)) % 0.45/0.68 (step @p66 :rule reordering :premises (@p65) :args ((or @t67 @t66 @t65 (not @t68)))) % 0.45/0.68 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p38 @p63) :args (@t65 (@list false false false) (@list @t45 @t46 @t68))) % 0.45/0.68 (step @p68 :rule aci_norm :args ((= (or @t70 @t19) (or @t63 @t62 @t69 @t19)))) % 0.45/0.68 (step @p69 :rule refl :args (@t19)) % 0.45/0.68 (step @p70 :rule aci_norm :args ((= (or @t63 (or @t62 @t69)) @t70))) % 0.45/0.68 (step @p71 :rule bool-and-de-morgan :args (@t6 @t13 true)) % 0.45/0.68 (step @p72 :rule refl :args (@t63)) % 0.45/0.68 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t63 (not @t28)))) % 0.45/0.68 (step @p74 :rule bool-and-de-morgan :args (@t2 @t6 (and @t13))) % 0.45/0.68 (step @p75 :rule trans :premises (@p74 @p73)) % 0.45/0.68 (step @p76 :rule trans :premises (@p75 @p70)) % 0.45/0.68 (step @p77 :rule nary_cong :premises (@p76 @p69) :args ((or (not @t14) @t19))) % 0.45/0.68 (step @p78 :rule trans :premises (@p77 @p68)) % 0.45/0.68 (step @p79 :rule bool-impl-elim :args (@t14 @t19)) % 0.45/0.68 (step @p80 :rule trans :premises (@p79 @p78)) % 0.45/0.68 (step @p81 :rule cong :premises (@p80) :args (@t20)) % 0.45/0.68 (step @p82 :rule eq_resolve :premises (@p10 @p81)) % 0.45/0.68 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.xn tptp.xl @t50))) % 0.45/0.68 (step @p84 :rule and_elim :premises (@p48) :args (0)) % 0.45/0.68 (step @p85 :rule cnf_or_pos :args (@t75)) % 0.45/0.68 (step @p86 :rule reordering :premises (@p85) :args ((or @t67 @t66 @t74 @t73 (not @t75)))) % 0.45/0.68 (step @p87 :rule chain_m_resolution :premises (@p86 @p64 @p38 @p84 @p83) :args (@t73 (@list false false false false) (@list @t45 @t46 @t58 @t75))) % 0.45/0.68 (step @p88 :rule refl :args (@t76)) % 0.45/0.68 (step @p89 :rule refl :args (@t77)) % 0.45/0.68 (step @p90 :rule bool-double-not-elim :args (@t78)) % 0.45/0.68 (step @p91 :rule refl :args (@t79)) % 0.45/0.68 (step @p92 :rule refl :args (@t80)) % 0.45/0.68 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args ((or @t80 @t79 (not @t81) @t77 @t76))) % 0.45/0.68 (assume-push @p142 @t73) % 0.45/0.68 (assume-push @p143 @t76) % 0.45/0.68 (step @p96 :rule evaluate :args ((= false true))) % 0.45/0.68 (step @p97 :rule true_intro :premises (@p87)) % 0.45/0.68 (step @p98 :rule bool-eq-false :args (@t73)) % 0.45/0.68 (step @p99 :rule symm :premises (@p98)) % 0.45/0.68 (step @p100 :rule eq-symm :args (@t71 @t72)) % 0.45/0.68 (step @p101 :rule cong :premises (@p100) :args (@t83)) % 0.45/0.68 (step @p102 :rule bool-eq-false :args (@t82)) % 0.45/0.68 (step @p103 :rule trans :premises (@p102 @p101)) % 0.45/0.68 (step @p104 :rule trans :premises (@p103 @p99)) % 0.45/0.68 (step @p105 :rule false_intro :premises (@p53)) % 0.45/0.68 (step @p106 :rule refl :args (@t50)) % 0.45/0.68 (step @p107 :rule symm :premises (@p67)) % 0.45/0.68 (step @p108 :rule cong :premises (@p107 @p106) :args (@t72)) % 0.45/0.68 (step @p109 :rule symm :premises (@p49)) % 0.45/0.68 (step @p110 :rule refl :args (tptp.xn)) % 0.45/0.68 (step @p111 :rule cong :premises (@p110 @p109) :args (@t71)) % 0.45/0.68 (step @p112 :rule trans :premises (@p111 @p52)) % 0.45/0.68 (step @p113 :rule cong :premises (@p112 @p108) :args (@t82)) % 0.45/0.68 (step @p114 :rule trans :premises (@p113 @p105)) % 0.45/0.68 (step @p115 :rule eq_resolve :premises (@p114 @p104)) % 0.45/0.68 (step @p116 :rule symm :premises (@p115)) % 0.45/0.68 (step @p117 :rule trans :premises (@p116 @p97)) % 0.45/0.68 (step @p118 false :rule eq_resolve :premises (@p117 @p96)) % 0.45/0.68 (step-pop @p144 :rule scope :premises (@p118)) % 0.45/0.68 (step-pop @p145 :rule scope :premises (@p144)) % 0.45/0.68 (step @p119 :rule process_scope :premises (@p145) :args (false)) % 0.45/0.68 (assume-push @p146 @t57) % 0.45/0.68 (assume-push @p147 @t53) % 0.45/0.68 (assume-push @p148 @t81) % 0.45/0.68 (assume-push @p149 @t65) % 0.45/0.68 (assume-push @p150 @t73) % 0.45/0.68 (step @p98 :rule bool-eq-false :args (@t73)) % 0.45/0.68 (step @p99 :rule symm :premises (@p98)) % 0.45/0.68 (step @p100 :rule eq-symm :args (@t71 @t72)) % 0.45/0.68 (step @p101 :rule cong :premises (@p100) :args (@t83)) % 0.45/0.68 (step @p102 :rule bool-eq-false :args (@t82)) % 0.45/0.68 (step @p103 :rule trans :premises (@p102 @p101)) % 0.45/0.68 (step @p104 :rule trans :premises (@p103 @p99)) % 0.45/0.68 (step @p105 :rule false_intro :premises (@p53)) % 0.45/0.68 (step @p106 :rule refl :args (@t50)) % 0.45/0.68 (step @p107 :rule symm :premises (@p67)) % 0.45/0.68 (step @p108 :rule cong :premises (@p107 @p106) :args (@t72)) % 0.45/0.68 (step @p109 :rule symm :premises (@p49)) % 0.45/0.69 (step @p110 :rule refl :args (tptp.xn)) % 0.45/0.69 (step @p111 :rule cong :premises (@p110 @p109) :args (@t71)) % 0.45/0.69 (step @p112 :rule trans :premises (@p111 @p52)) % 0.45/0.69 (step @p113 :rule cong :premises (@p112 @p108) :args (@t82)) % 0.45/0.69 (step @p114 :rule trans :premises (@p113 @p105)) % 0.45/0.69 (step @p127 :rule eq_resolve :premises (@p114 @p104)) % 0.45/0.69 (step @p128 :rule false_elim :premises (@p127)) % 0.45/0.69 (step @p129 :rule and_intro :premises (@p87 @p128)) % 0.45/0.69 (step-pop @p151 :rule scope :premises (@p129)) % 0.45/0.69 (step-pop @p152 :rule scope :premises (@p151)) % 0.45/0.69 (step-pop @p153 :rule scope :premises (@p152)) % 0.45/0.69 (step-pop @p154 :rule scope :premises (@p153)) % 0.45/0.69 (step-pop @p155 :rule scope :premises (@p154)) % 0.45/0.69 (step @p130 :rule process_scope :premises (@p155) :args (@t84)) % 0.45/0.69 (step @p136 :rule implies_elim :premises (@p130)) % 0.45/0.69 (step @p137 :rule resolution :premises (@p136 @p119) :args (true @t84)) % 0.45/0.69 (step @p138 :rule not_and :premises (@p137)) % 0.45/0.69 (step @p139 :rule eq_resolve :premises (@p138 @p93)) % 0.45/0.69 (step @p140 :rule reordering :premises (@p139) :args ((or @t78 @t80 @t79 @t77 @t76))) % 0.45/0.69 (step @p141 false :rule chain_m_resolution :premises (@p140 @p87 @p67 @p53 @p52 @p49) :args (false (@list false false true false false) (@list @t73 @t65 @t78 @t53 @t57))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------