%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM478+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 : n014.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 0.47s 0.69s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM478+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:23:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.69 % SZS status Theorem % 0.47/0.69 % SZS output start Proof % 0.47/0.69 ( % 0.47/0.69 (declare-sort $$unsorted 0) % 0.47/0.69 (declare-const tptp.xn $$unsorted) % 0.47/0.69 (declare-const tptp.xl $$unsorted) % 0.47/0.69 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.sz10 $$unsorted) % 0.47/0.69 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.sz00 $$unsorted) % 0.47/0.69 (declare-const tptp.xm $$unsorted) % 0.47/0.69 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.47/0.69 (define @t1 () (@var "W0" $$unsorted)) % 0.47/0.69 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.47/0.69 (define @t3 () (@list @t1)) % 0.47/0.69 (define @t4 () (@var "W1" $$unsorted)) % 0.47/0.69 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.47/0.69 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.47/0.69 (define @t7 () (and @t2 @t6)) % 0.47/0.69 (define @t8 () (@list @t1 @t4)) % 0.47/0.69 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.47/0.69 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 0.47/0.69 (define @t11 () (forall @t8 (=> @t7 @t10))) % 0.47/0.69 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.47/0.69 (define @t13 () (@var "W2" $$unsorted)) % 0.47/0.69 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.47/0.69 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 0.47/0.69 (define @t16 () (and @t2 @t6 @t15)) % 0.47/0.69 (define @t17 () (@list @t1 @t4 @t13)) % 0.47/0.69 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 0.47/0.69 (define @t19 () (= @t9 @t18)) % 0.47/0.69 (define @t20 () (forall @t8 (=> @t7 @t19))) % 0.47/0.69 (define @t21 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 0.47/0.69 (define @t22 () (forall @t17 (=> @t16 @t21))) % 0.47/0.69 (define @t23 () (tptp.sdtasdt0 @t13 @t1)) % 0.47/0.69 (define @t24 () (tptp.sdtasdt0 @t1 @t13)) % 0.47/0.69 (define @t25 () (= @t4 @t13)) % 0.47/0.69 (define @t26 () (tptp.sdtpldt0 @t13 @t1)) % 0.47/0.69 (define @t27 () (tptp.sdtpldt0 @t1 @t13)) % 0.47/0.69 (define @t28 () (= @t18 @t23)) % 0.47/0.69 (define @t29 () (= @t9 @t24)) % 0.47/0.69 (define @t30 () (and @t6 @t15)) % 0.47/0.69 (define @t31 () (= @t1 tptp.sz00)) % 0.47/0.69 (define @t32 () (not @t31)) % 0.47/0.69 (define @t33 () (= @t4 tptp.sz00)) % 0.47/0.69 (define @t34 () (and @t15 (= @t27 @t4))) % 0.47/0.69 (define @t35 () (@list @t13)) % 0.47/0.69 (define @t36 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.47/0.69 (define @t37 () (= @t1 @t4)) % 0.47/0.69 (define @t38 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.47/0.69 (define @t39 () (tptp.sdtlseqdt0 @t4 @t13)) % 0.47/0.69 (define @t40 () (tptp.sdtpldt0 @t13 @t4)) % 0.47/0.69 (define @t41 () (and (not @t37) @t36)) % 0.47/0.69 (define @t42 () (tptp.iLess0 @t1 @t4)) % 0.47/0.69 (define @t43 () (and @t15 (= @t4 @t24))) % 0.47/0.69 (define @t44 () (tptp.doDivides0 @t1 @t4)) % 0.47/0.69 (define @t45 () (tptp.doDivides0 @t1 @t13)) % 0.47/0.69 (define @t46 () (tptp.doDivides0 @t1 @t14)) % 0.47/0.69 (define @t47 () (tptp.aNaturalNumber0 tptp.xl)) % 0.47/0.69 (define @t48 () (tptp.aNaturalNumber0 tptp.xn)) % 0.47/0.69 (define @t49 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.47/0.69 (define @t50 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 0.47/0.69 (define @t51 () (tptp.sdtasdt0 tptp.xn @t50)) % 0.47/0.69 (define @t52 () (tptp.sdtasdt0 tptp.xl @t51)) % 0.47/0.69 (define @t53 () (= @t49 @t52)) % 0.47/0.69 (define @t54 () (tptp.sdtasdt0 tptp.xl @t50)) % 0.47/0.69 (define @t55 () (= tptp.xm @t54)) % 0.47/0.69 (define @t56 () (tptp.aNaturalNumber0 @t50)) % 0.47/0.69 (define @t57 () (not @t6)) % 0.47/0.69 (define @t58 () (not @t2)) % 0.47/0.69 (define @t59 () (or @t58 @t57)) % 0.47/0.69 (define @t60 () (not @t7)) % 0.47/0.69 (define @t61 () (tptp.sdtasdt0 @t50 tptp.xl)) % 0.47/0.69 (define @t62 () (= @t54 @t61)) % 0.47/0.69 (define @t63 () (not @t56)) % 0.47/0.69 (define @t64 () (not @t47)) % 0.47/0.69 (define @t65 () (or @t64 @t63 @t62)) % 0.47/0.69 (define @t66 () (@list false false false)) % 0.47/0.69 (define @t67 () (tptp.aNaturalNumber0 @t51)) % 0.47/0.69 (define @t68 () (not @t48)) % 0.47/0.69 (define @t69 () (or @t68 @t63 @t67)) % 0.47/0.69 (define @t70 () (tptp.sdtasdt0 @t51 tptp.xl)) % 0.47/0.69 (define @t71 () (= @t52 @t70)) % 0.47/0.69 (define @t72 () (not @t67)) % 0.47/0.69 (define @t73 () (or @t64 @t72 @t71)) % 0.47/0.69 (define @t74 () (not @t15)) % 0.47/0.69 (define @t75 () (or @t58 @t57 @t74)) % 0.47/0.69 (define @t76 () (tptp.sdtasdt0 tptp.xn @t61)) % 0.47/0.69 (define @t77 () (= @t70 @t76)) % 0.47/0.69 (define @t78 () (or @t68 @t63 @t64 @t77)) % 0.47/0.69 (define @t79 () (not @t77)) % 0.47/0.69 (define @t80 () (not @t71)) % 0.47/0.69 (define @t81 () (not @t62)) % 0.47/0.69 (define @t82 () (not @t55)) % 0.47/0.69 (define @t83 () (not @t53)) % 0.47/0.69 (define @t84 () (= @t76 @t70)) % 0.47/0.69 (define @t85 () (not @t84)) % 0.47/0.69 (define @t86 () (and @t79 @t77)) % 0.47/0.69 (assume @p1 (forall @t3 (=> @t2 true))) % 0.47/0.69 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.47/0.69 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.47/0.69 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.47/0.69 (assume @p5 @t11) % 0.47/0.69 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 0.47/0.69 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 0.47/0.69 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.47/0.69 (assume @p9 @t20) % 0.47/0.69 (assume @p10 @t22) % 0.47/0.69 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.47/0.69 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.47/0.69 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t24)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t23)))))) % 0.47/0.69 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 0.47/0.69 (assume @p15 (forall @t3 (=> @t2 (=> @t32 (forall (@list @t4 @t13) (=> @t30 (=> (or @t29 @t28) @t25))))))) % 0.47/0.69 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t31 @t33))))) % 0.47/0.69 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t31 @t33))))) % 0.47/0.69 (assume @p18 (forall @t8 (=> @t7 (= @t36 (exists @t35 @t34))))) % 0.47/0.69 (assume @p19 (forall @t8 (=> @t7 (=> @t36 (forall @t35 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t34)))))) % 0.47/0.69 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.47/0.69 (assume @p21 (forall @t8 (=> @t7 (=> (and @t36 @t38) @t37)))) % 0.47/0.69 (assume @p22 (forall @t17 (=> @t16 (=> (and @t36 @t39) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.47/0.69 (assume @p23 (forall @t8 (=> @t7 (or @t36 (and (not (= @t4 @t1)) @t38))))) % 0.47/0.69 (assume @p24 (forall @t8 (=> @t7 (=> @t41 (forall @t35 (=> @t15 (and (not (= @t26 @t40)) (tptp.sdtlseqdt0 @t26 @t40) (not (= @t27 @t14)) (tptp.sdtlseqdt0 @t27 @t14)))))))) % 0.47/0.69 (assume @p25 (forall @t17 (=> @t16 (=> (and @t32 (not @t25) @t39) (and (not @t29) (tptp.sdtlseqdt0 @t9 @t24) (not @t28) (tptp.sdtlseqdt0 @t18 @t23)))))) % 0.47/0.69 (assume @p26 (forall @t3 (=> @t2 (or @t31 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.47/0.69 (assume @p27 (forall @t8 (=> @t7 (=> @t32 (tptp.sdtlseqdt0 @t4 @t18))))) % 0.47/0.69 (assume @p28 (forall @t8 (=> @t7 (=> @t42 true)))) % 0.47/0.69 (assume @p29 (forall @t8 (=> @t7 (=> @t41 @t42)))) % 0.47/0.69 (assume @p30 (forall @t8 (=> @t7 (= @t44 (exists @t35 @t43))))) % 0.47/0.69 (assume @p31 (forall @t8 (=> @t7 (=> (and @t32 @t44) (forall @t35 (= (= @t13 (tptp.sdtsldt0 @t4 @t1)) @t43)))))) % 0.47/0.69 (assume @p32 (forall @t17 (=> @t16 (=> (and @t44 (tptp.doDivides0 @t4 @t13)) @t45)))) % 0.47/0.69 (assume @p33 (forall @t17 (=> @t16 (=> (and @t44 @t45) @t46)))) % 0.47/0.69 (assume @p34 (forall @t17 (=> @t16 (=> (and @t44 @t46) @t45)))) % 0.47/0.69 (assume @p35 (forall @t8 (=> @t7 (=> (and @t44 (not @t33)) @t36)))) % 0.47/0.69 (assume @p36 (and @t47 (tptp.aNaturalNumber0 tptp.xm))) % 0.47/0.69 (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))) % 0.47/0.69 (assume @p38 @t48) % 0.47/0.69 (assume @p39 (not (=> (and @t56 @t55) (or @t53 (= @t51 (tptp.sdtsldt0 @t49 tptp.xl)))))) % 0.47/0.69 (assume @p40 true) % 0.47/0.69 (step @p41 :rule not_implies_elim1 :premises (@p39)) % 0.47/0.69 (step @p42 :rule and_elim :premises (@p41) :args (1)) % 0.47/0.69 (step @p43 :rule not_implies_elim2 :premises (@p39)) % 0.47/0.69 (step @p44 :rule not_or_elim :premises (@p43) :args (0)) % 0.47/0.69 (step @p45 :rule aci_norm :args ((= (or @t59 @t19) (or @t58 @t57 @t19)))) % 0.47/0.69 (step @p46 :rule refl :args (@t19)) % 0.47/0.69 (step @p47 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.47/0.69 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t60 @t19))) % 0.47/0.69 (step @p49 :rule trans :premises (@p48 @p45)) % 0.47/0.69 (step @p50 :rule bool-impl-elim :args (@t7 @t19)) % 0.47/0.69 (step @p51 :rule trans :premises (@p50 @p49)) % 0.47/0.69 (step @p52 :rule cong :premises (@p51) :args (@t20)) % 0.47/0.69 (step @p53 :rule eq_resolve :premises (@p9 @p52)) % 0.47/0.69 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.xl @t50))) % 0.47/0.69 (step @p55 :rule and_elim :premises (@p41) :args (0)) % 0.47/0.69 (step @p56 :rule and_elim :premises (@p36) :args (0)) % 0.47/0.69 (step @p57 :rule cnf_or_pos :args (@t65)) % 0.47/0.69 (step @p58 :rule reordering :premises (@p57) :args ((or @t64 @t63 @t62 (not @t65)))) % 0.47/0.69 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55 @p54) :args (@t62 @t66 (@list @t47 @t56 @t65))) % 0.47/0.69 (step @p60 :rule instantiate :premises (@p53) :args ((@list tptp.xl @t51))) % 0.47/0.69 (step @p61 :rule aci_norm :args ((= (or @t59 @t10) (or @t58 @t57 @t10)))) % 0.47/0.69 (step @p62 :rule refl :args (@t10)) % 0.47/0.69 (step @p63 :rule nary_cong :premises (@p47 @p62) :args ((or @t60 @t10))) % 0.47/0.69 (step @p64 :rule trans :premises (@p63 @p61)) % 0.47/0.69 (step @p65 :rule bool-impl-elim :args (@t7 @t10)) % 0.47/0.69 (step @p66 :rule trans :premises (@p65 @p64)) % 0.47/0.69 (step @p67 :rule cong :premises (@p66) :args (@t11)) % 0.47/0.69 (step @p68 :rule eq_resolve :premises (@p5 @p67)) % 0.47/0.69 (step @p69 :rule instantiate :premises (@p68) :args ((@list tptp.xn @t50))) % 0.47/0.69 (step @p70 :rule cnf_or_pos :args (@t69)) % 0.47/0.69 (step @p71 :rule reordering :premises (@p70) :args ((or @t68 @t63 @t67 (not @t69)))) % 0.47/0.69 (step @p72 :rule chain_m_resolution :premises (@p71 @p38 @p55 @p69) :args (@t67 @t66 (@list @t48 @t56 @t69))) % 0.47/0.69 (step @p73 :rule cnf_or_pos :args (@t73)) % 0.47/0.69 (step @p74 :rule reordering :premises (@p73) :args ((or @t64 @t72 @t71 (not @t73)))) % 0.47/0.69 (step @p75 :rule chain_m_resolution :premises (@p74 @p56 @p72 @p60) :args (@t71 @t66 (@list @t47 @t67 @t73))) % 0.47/0.69 (step @p76 :rule aci_norm :args ((= (or @t75 @t21) (or @t58 @t57 @t74 @t21)))) % 0.47/0.69 (step @p77 :rule refl :args (@t21)) % 0.47/0.69 (step @p78 :rule aci_norm :args ((= (or @t58 (or @t57 @t74)) @t75))) % 0.47/0.69 (step @p79 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 0.47/0.69 (step @p80 :rule refl :args (@t58)) % 0.47/0.69 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t58 (not @t30)))) % 0.47/0.69 (step @p82 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 0.47/0.69 (step @p83 :rule trans :premises (@p82 @p81)) % 0.47/0.69 (step @p84 :rule trans :premises (@p83 @p78)) % 0.47/0.69 (step @p85 :rule nary_cong :premises (@p84 @p77) :args ((or (not @t16) @t21))) % 0.47/0.69 (step @p86 :rule trans :premises (@p85 @p76)) % 0.47/0.69 (step @p87 :rule bool-impl-elim :args (@t16 @t21)) % 0.47/0.69 (step @p88 :rule trans :premises (@p87 @p86)) % 0.47/0.69 (step @p89 :rule cong :premises (@p88) :args (@t22)) % 0.47/0.69 (step @p90 :rule eq_resolve :premises (@p10 @p89)) % 0.47/0.69 (step @p91 :rule instantiate :premises (@p90) :args ((@list tptp.xn @t50 tptp.xl))) % 0.47/0.69 (step @p92 :rule cnf_or_pos :args (@t78)) % 0.47/0.69 (step @p93 :rule reordering :premises (@p92) :args ((or @t64 @t68 @t63 @t77 (not @t78)))) % 0.47/0.69 (step @p94 :rule chain_m_resolution :premises (@p93 @p56 @p38 @p55 @p91) :args (@t77 (@list false false false false) (@list @t47 @t48 @t56 @t78))) % 0.47/0.69 (step @p95 :rule refl :args (@t79)) % 0.47/0.69 (step @p96 :rule refl :args (@t80)) % 0.47/0.69 (step @p97 :rule refl :args (@t81)) % 0.47/0.69 (step @p98 :rule bool-double-not-elim :args (@t53)) % 0.47/0.69 (step @p99 :rule refl :args (@t82)) % 0.47/0.69 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95) :args ((or @t82 (not @t83) @t81 @t80 @t79))) % 0.47/0.69 (assume-push @p148 @t79) % 0.47/0.69 (assume-push @p149 @t77) % 0.47/0.69 (step @p103 :rule evaluate :args ((= false true))) % 0.47/0.69 (step @p104 :rule true_intro :premises (@p94)) % 0.47/0.69 (step @p105 :rule bool-eq-false :args (@t77)) % 0.47/0.69 (step @p106 :rule symm :premises (@p105)) % 0.47/0.69 (step @p107 :rule eq-symm :args (@t76 @t70)) % 0.47/0.69 (step @p108 :rule cong :premises (@p107) :args (@t85)) % 0.47/0.69 (step @p109 :rule bool-eq-false :args (@t84)) % 0.47/0.69 (step @p110 :rule trans :premises (@p109 @p108)) % 0.47/0.69 (step @p111 :rule trans :premises (@p110 @p106)) % 0.47/0.69 (step @p112 :rule false_intro :premises (@p44)) % 0.47/0.69 (step @p113 :rule symm :premises (@p75)) % 0.47/0.69 (step @p114 :rule symm :premises (@p42)) % 0.47/0.69 (step @p115 :rule symm :premises (@p59)) % 0.47/0.69 (step @p116 :rule trans :premises (@p115 @p114)) % 0.47/0.69 (step @p117 :rule refl :args (tptp.xn)) % 0.47/0.69 (step @p118 :rule cong :premises (@p117 @p116) :args (@t76)) % 0.47/0.69 (step @p119 :rule cong :premises (@p118 @p113) :args (@t84)) % 0.47/0.69 (step @p120 :rule trans :premises (@p119 @p112)) % 0.47/0.69 (step @p121 :rule eq_resolve :premises (@p120 @p111)) % 0.47/0.69 (step @p122 :rule symm :premises (@p121)) % 0.47/0.69 (step @p123 :rule trans :premises (@p122 @p104)) % 0.47/0.69 (step @p124 false :rule eq_resolve :premises (@p123 @p103)) % 0.47/0.69 (step-pop @p150 :rule scope :premises (@p124)) % 0.47/0.69 (step-pop @p151 :rule scope :premises (@p150)) % 0.47/0.69 (step @p125 :rule process_scope :premises (@p151) :args (false)) % 0.47/0.69 (assume-push @p152 @t55) % 0.47/0.69 (assume-push @p153 @t83) % 0.47/0.69 (assume-push @p154 @t62) % 0.47/0.69 (assume-push @p155 @t71) % 0.47/0.69 (assume-push @p156 @t77) % 0.47/0.69 (step @p105 :rule bool-eq-false :args (@t77)) % 0.47/0.69 (step @p106 :rule symm :premises (@p105)) % 0.47/0.69 (step @p107 :rule eq-symm :args (@t76 @t70)) % 0.47/0.69 (step @p108 :rule cong :premises (@p107) :args (@t85)) % 0.47/0.69 (step @p109 :rule bool-eq-false :args (@t84)) % 0.47/0.69 (step @p110 :rule trans :premises (@p109 @p108)) % 0.47/0.69 (step @p111 :rule trans :premises (@p110 @p106)) % 0.47/0.69 (step @p112 :rule false_intro :premises (@p44)) % 0.47/0.69 (step @p113 :rule symm :premises (@p75)) % 0.47/0.69 (step @p114 :rule symm :premises (@p42)) % 0.47/0.69 (step @p115 :rule symm :premises (@p59)) % 0.47/0.69 (step @p116 :rule trans :premises (@p115 @p114)) % 0.47/0.69 (step @p117 :rule refl :args (tptp.xn)) % 0.47/0.69 (step @p118 :rule cong :premises (@p117 @p116) :args (@t76)) % 0.47/0.69 (step @p119 :rule cong :premises (@p118 @p113) :args (@t84)) % 0.47/0.69 (step @p120 :rule trans :premises (@p119 @p112)) % 0.47/0.69 (step @p133 :rule eq_resolve :premises (@p120 @p111)) % 0.47/0.69 (step @p134 :rule false_elim :premises (@p133)) % 0.47/0.69 (step @p135 :rule and_intro :premises (@p134 @p94)) % 0.47/0.69 (step-pop @p157 :rule scope :premises (@p135)) % 0.47/0.69 (step-pop @p158 :rule scope :premises (@p157)) % 0.47/0.69 (step-pop @p159 :rule scope :premises (@p158)) % 0.47/0.69 (step-pop @p160 :rule scope :premises (@p159)) % 0.47/0.69 (step-pop @p161 :rule scope :premises (@p160)) % 0.47/0.69 (step @p136 :rule process_scope :premises (@p161) :args (@t86)) % 0.47/0.69 (step @p142 :rule implies_elim :premises (@p136)) % 0.47/0.69 (step @p143 :rule resolution :premises (@p142 @p125) :args (true @t86)) % 0.47/0.69 (step @p144 :rule not_and :premises (@p143)) % 0.47/0.69 (step @p145 :rule eq_resolve :premises (@p144 @p100)) % 0.47/0.69 (step @p146 :rule reordering :premises (@p145) :args ((or @t53 @t82 @t81 @t80 @t79))) % 0.47/0.69 (step @p147 false :rule chain_m_resolution :premises (@p146 @p94 @p75 @p59 @p44 @p42) :args (false (@list false false false true false) (@list @t77 @t71 @t62 @t53 @t55))) % 0.47/0.69 ) % 0.47/0.69 % SZS output end Proof % 0.47/0.69 % cvc5 exiting %------------------------------------------------------------------------------