%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM460+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 : n004.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 1.95s 2.17s % Output : Proof 1.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM460+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:21:37 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.95/2.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.95/2.17 % SZS status Theorem % 1.95/2.17 % SZS output start Proof % 1.95/2.17 ( % 1.95/2.17 (declare-sort $$unsorted 0) % 1.95/2.17 (declare-const tptp.xn $$unsorted) % 1.95/2.17 (declare-const tptp.xl $$unsorted) % 1.95/2.17 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.17 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.17 (declare-const tptp.xm $$unsorted) % 1.95/2.17 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.95/2.17 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.95/2.17 (declare-const tptp.sz10 $$unsorted) % 1.95/2.17 (declare-const tptp.sz00 $$unsorted) % 1.95/2.17 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 1.95/2.17 (define @t1 () (@var "W0" $$unsorted)) % 1.95/2.17 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 1.95/2.17 (define @t3 () (@list @t1)) % 1.95/2.17 (define @t4 () (@var "W1" $$unsorted)) % 1.95/2.17 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 1.95/2.17 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 1.95/2.17 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 1.95/2.17 (define @t8 () (and @t2 @t7)) % 1.95/2.17 (define @t9 () (@list @t1 @t4)) % 1.95/2.17 (define @t10 () (forall @t9 (=> @t8 @t6))) % 1.95/2.17 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 1.95/2.17 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 1.95/2.17 (define @t13 () (@var "W2" $$unsorted)) % 1.95/2.17 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 1.95/2.17 (define @t15 () (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))) % 1.95/2.17 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 1.95/2.17 (define @t17 () (and @t2 @t7 @t16)) % 1.95/2.17 (define @t18 () (@list @t1 @t4 @t13)) % 1.95/2.17 (define @t19 () (forall @t18 (=> @t17 @t15))) % 1.95/2.17 (define @t20 () (tptp.sdtasdt0 @t4 @t1)) % 1.95/2.17 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 1.95/2.17 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 1.95/2.17 (define @t23 () (= @t4 @t13)) % 1.95/2.17 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 1.95/2.17 (define @t25 () (and @t7 @t16)) % 1.95/2.17 (define @t26 () (= @t1 tptp.sz00)) % 1.95/2.17 (define @t27 () (= @t4 tptp.sz00)) % 1.95/2.17 (define @t28 () (and @t16 (= @t24 @t4))) % 1.95/2.17 (define @t29 () (@list @t13)) % 1.95/2.17 (define @t30 () (exists @t29 @t28)) % 1.95/2.17 (define @t31 () (tptp.sdtlseqdt0 @t1 @t4)) % 1.95/2.17 (define @t32 () (= @t31 @t30)) % 1.95/2.17 (define @t33 () (=> @t8 @t32)) % 1.95/2.17 (define @t34 () (forall @t9 @t33)) % 1.95/2.17 (define @t35 () (tptp.aNaturalNumber0 tptp.xl)) % 1.95/2.17 (define @t36 () (tptp.aNaturalNumber0 tptp.xn)) % 1.95/2.17 (define @t37 () (tptp.aNaturalNumber0 tptp.xm)) % 1.95/2.17 (define @t38 () (tptp.sdtlseqdt0 tptp.xm tptp.xl)) % 1.95/2.17 (define @t39 () (tptp.sdtlseqdt0 tptp.xn tptp.xl)) % 1.95/2.17 (define @t40 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 1.95/2.17 (define @t41 () (not @t7)) % 1.95/2.17 (define @t42 () (not @t2)) % 1.95/2.17 (define @t43 () (or @t42 @t41 @t6)) % 1.95/2.17 (define @t44 () (or @t42 @t41)) % 1.95/2.17 (define @t45 () (not @t8)) % 1.95/2.17 (define @t46 () (= @t4 @t24)) % 1.95/2.17 (define @t47 () (not @t16)) % 1.95/2.17 (define @t48 () (= @t31 (not (forall @t29 (or @t47 (not @t46)))))) % 1.95/2.17 (define @t49 () (and @t16 @t46)) % 1.95/2.17 (define @t50 () (forall @t29 (not @t49))) % 1.95/2.17 (define @t51 () (not @t50)) % 1.95/2.17 (define @t52 () (tptp.sdtpldt0 tptp.xm @t13)) % 1.95/2.17 (define @t53 () (forall @t29 (or @t47 (not (= tptp.xl @t52))))) % 1.95/2.17 (define @t54 () (not @t53)) % 1.95/2.17 (define @t55 () (= @t38 @t54)) % 1.95/2.17 (define @t56 () (not @t35)) % 1.95/2.17 (define @t57 () (not @t37)) % 1.95/2.17 (define @t58 () (or @t57 @t56 @t55)) % 1.95/2.17 (define @t59 () (@list false false false)) % 1.95/2.17 (define @t60 () (not @t55)) % 1.95/2.17 (define @t61 () (@list true false)) % 1.95/2.17 (define @t62 () (forall @t29 (or @t47 (not (= tptp.xl (tptp.sdtpldt0 tptp.xn @t13)))))) % 1.95/2.17 (define @t63 () (@quantifiers_skolemize @t62 0)) % 1.95/2.17 (define @t64 () (forall @t29 (or @t47 (not (= tptp.xn @t52))))) % 1.95/2.17 (define @t65 () (@quantifiers_skolemize @t64 0)) % 1.95/2.17 (define @t66 () (tptp.sdtpldt0 @t65 @t63)) % 1.95/2.17 (define @t67 () (or @t42 @t41 @t47)) % 1.95/2.17 (define @t68 () (not @t62)) % 1.95/2.17 (define @t69 () (= @t39 @t68)) % 1.95/2.17 (define @t70 () (not @t36)) % 1.95/2.17 (define @t71 () (or @t70 @t56 @t69)) % 1.95/2.17 (define @t72 () (@list false false)) % 1.95/2.17 (define @t73 () (tptp.aNaturalNumber0 @t63)) % 1.95/2.17 (define @t74 () (tptp.sdtpldt0 tptp.xn @t63)) % 1.95/2.17 (define @t75 () (= tptp.xl @t74)) % 1.95/2.17 (define @t76 () (not @t75)) % 1.95/2.17 (define @t77 () (not @t73)) % 1.95/2.17 (define @t78 () (or @t77 @t76)) % 1.95/2.17 (define @t79 () (@list true)) % 1.95/2.17 (define @t80 () (@list @t78)) % 1.95/2.17 (define @t81 () (not @t64)) % 1.95/2.17 (define @t82 () (= @t40 @t81)) % 1.95/2.17 (define @t83 () (or @t57 @t70 @t82)) % 1.95/2.17 (define @t84 () (tptp.aNaturalNumber0 @t65)) % 1.95/2.17 (define @t85 () (tptp.sdtpldt0 tptp.xm @t65)) % 1.95/2.17 (define @t86 () (= tptp.xn @t85)) % 1.95/2.17 (define @t87 () (not @t86)) % 1.95/2.17 (define @t88 () (not @t84)) % 1.95/2.17 (define @t89 () (or @t88 @t87)) % 1.95/2.17 (define @t90 () (@list @t89)) % 1.95/2.17 (define @t91 () (tptp.sdtpldt0 tptp.xm @t66)) % 1.95/2.17 (define @t92 () (= (tptp.sdtpldt0 @t85 @t63) @t91)) % 1.95/2.17 (define @t93 () (or @t57 @t88 @t77 @t92)) % 1.95/2.17 (define @t94 () (= tptp.xl @t91)) % 1.95/2.17 (define @t95 () (not @t94)) % 1.95/2.17 (define @t96 () (tptp.aNaturalNumber0 @t66)) % 1.95/2.17 (define @t97 () (not @t96)) % 1.95/2.17 (define @t98 () (or @t97 @t95)) % 1.95/2.17 (define @t99 () (or @t88 @t77 @t96)) % 1.95/2.17 (define @t100 () (not @t99)) % 1.95/2.17 (define @t101 () (forall @t9 @t43)) % 1.95/2.17 (assume @p1 (forall @t3 (=> @t2 true))) % 1.95/2.17 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 1.95/2.17 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 1.95/2.17 (assume @p4 @t10) % 1.95/2.17 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 1.95/2.17 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 1.95/2.17 (assume @p7 @t19) % 1.95/2.17 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 1.95/2.17 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t20)))) % 1.95/2.17 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 1.95/2.17 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 1.95/2.17 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.95/2.17 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t20 @t21)))))) % 1.95/2.17 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t24) (= @t12 (tptp.sdtpldt0 @t13 @t1))) @t23)))) % 1.95/2.17 (assume @p15 (forall @t3 (=> @t2 (=> (not @t26) (forall (@list @t4 @t13) (=> @t25 (=> (or (= @t11 @t22) (= @t20 @t21)) @t23))))))) % 1.95/2.17 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t26 @t27))))) % 1.95/2.17 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t26 @t27))))) % 1.95/2.17 (assume @p18 @t34) % 1.95/2.17 (assume @p19 (forall @t9 (=> @t8 (=> @t31 (forall @t29 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t28)))))) % 1.95/2.17 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.95/2.17 (assume @p21 (forall @t9 (=> @t8 (=> (and @t31 (tptp.sdtlseqdt0 @t4 @t1)) (= @t1 @t4))))) % 1.95/2.17 (assume @p22 (and @t37 @t36 @t35)) % 1.95/2.17 (assume @p23 (not (=> (and @t40 @t39) @t38))) % 1.95/2.17 (assume @p24 true) % 1.95/2.17 (step @p25 :rule aci_norm :args ((= (or @t44 @t6) @t43))) % 1.95/2.17 (step @p26 :rule refl :args (@t6)) % 1.95/2.17 (step @p27 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 1.95/2.17 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t45 @t6))) % 1.95/2.17 (step @p29 :rule trans :premises (@p28 @p25)) % 1.95/2.17 (step @p30 :rule bool-impl-elim :args (@t8 @t6)) % 1.95/2.17 (step @p31 :rule trans :premises (@p30 @p29)) % 1.95/2.17 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 1.95/2.17 (step @p33 :rule eq_resolve :premises (@p4 @p32)) % 1.95/2.17 (step @p34 :rule aci_norm :args ((= (or @t44 @t48) (or @t42 @t41 @t48)))) % 1.95/2.17 (step @p35 :rule refl :args (@t48)) % 1.95/2.17 (step @p36 :rule nary_cong :premises (@p27 @p35) :args ((or @t45 @t48))) % 1.95/2.17 (step @p37 :rule trans :premises (@p36 @p34)) % 1.95/2.17 (step @p38 :rule bool-impl-elim :args (@t8 @t48)) % 1.95/2.17 (step @p39 :rule trans :premises (@p38 @p37)) % 1.95/2.17 (step @p40 :rule cong :premises (@p39) :args ((forall @t9 (=> @t8 @t48)))) % 1.95/2.17 (step @p41 :rule bool-and-de-morgan :args (@t16 @t46 true)) % 1.95/2.17 (step @p42 :rule cong :premises (@p41) :args (@t50)) % 1.95/2.17 (step @p43 :rule cong :premises (@p42) :args (@t51)) % 1.95/2.17 (step @p44 :rule exists-elim :args ((= (exists @t29 @t49) @t51))) % 1.95/2.17 (step @p45 :rule trans :premises (@p44 @p43)) % 1.95/2.17 (step @p46 :rule eq-symm :args (@t24 @t4)) % 1.95/2.17 (step @p47 :rule refl :args (@t16)) % 1.95/2.17 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t28)) % 1.95/2.17 (step @p49 :rule cong :premises (@p48) :args (@t30)) % 1.95/2.17 (step @p50 :rule trans :premises (@p49 @p45)) % 1.95/2.17 (step @p51 :rule refl :args (@t31)) % 1.95/2.17 (step @p52 :rule cong :premises (@p51 @p50) :args (@t32)) % 1.95/2.17 (step @p53 :rule refl :args (@t8)) % 1.95/2.17 (step @p54 :rule cong :premises (@p53 @p52) :args (@t33)) % 1.95/2.17 (step @p55 :rule cong :premises (@p54) :args (@t34)) % 1.95/2.17 (step @p56 :rule trans :premises (@p55 @p40)) % 1.95/2.17 (step @p57 :rule eq_resolve :premises (@p18 @p56)) % 1.95/2.17 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.xm tptp.xl))) % 1.95/2.17 (step @p59 :rule and_elim :premises (@p22) :args (2)) % 1.95/2.17 (step @p60 :rule and_elim :premises (@p22) :args (0)) % 1.95/2.17 (step @p61 :rule cnf_or_pos :args (@t58)) % 1.95/2.17 (step @p62 :rule reordering :premises (@p61) :args ((or @t57 @t56 @t55 (not @t58)))) % 1.95/2.17 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59 @p58) :args (@t55 @t59 (@list @t37 @t35 @t58))) % 1.95/2.17 (step @p64 :rule not_implies_elim2 :premises (@p23)) % 1.95/2.17 (step @p65 :rule bool-double-not-elim :args (@t53)) % 1.95/2.17 (step @p66 :rule refl :args (@t38)) % 1.95/2.17 (step @p67 :rule refl :args (@t60)) % 1.95/2.17 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t60 @t38 (not @t54)))) % 1.95/2.17 (step @p69 :rule cnf_equiv_pos2 :args (@t55)) % 1.95/2.17 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 1.95/2.17 (step @p71 :rule reordering :premises (@p70) :args ((or @t38 @t53 @t60))) % 1.95/2.17 (step @p72 :rule chain_m_resolution :premises (@p71 @p64 @p63) :args (@t53 @t61 (@list @t38 @t55))) % 1.95/2.17 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t66))) % 1.95/2.17 (step @p74 :rule aci_norm :args ((= (or @t67 @t15) (or @t42 @t41 @t47 @t15)))) % 1.95/2.17 (step @p75 :rule refl :args (@t15)) % 1.95/2.17 (step @p76 :rule aci_norm :args ((= (or @t42 (or @t41 @t47)) @t67))) % 1.95/2.17 (step @p77 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 1.95/2.17 (step @p78 :rule refl :args (@t42)) % 1.95/2.17 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t42 (not @t25)))) % 1.95/2.17 (step @p80 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 1.95/2.17 (step @p81 :rule trans :premises (@p80 @p79)) % 1.95/2.17 (step @p82 :rule trans :premises (@p81 @p76)) % 1.95/2.17 (step @p83 :rule nary_cong :premises (@p82 @p75) :args ((or (not @t17) @t15))) % 1.95/2.17 (step @p84 :rule trans :premises (@p83 @p74)) % 1.95/2.17 (step @p85 :rule bool-impl-elim :args (@t17 @t15)) % 1.95/2.17 (step @p86 :rule trans :premises (@p85 @p84)) % 1.95/2.17 (step @p87 :rule cong :premises (@p86) :args (@t19)) % 1.95/2.17 (step @p88 :rule eq_resolve :premises (@p7 @p87)) % 1.95/2.17 (step @p89 :rule instantiate :premises (@p88) :args ((@list tptp.xm @t65 @t63))) % 1.95/2.17 (step @p90 :rule instantiate :premises (@p57) :args ((@list tptp.xn tptp.xl))) % 1.95/2.17 (step @p91 :rule and_elim :premises (@p22) :args (1)) % 1.95/2.17 (step @p92 :rule cnf_or_pos :args (@t71)) % 1.95/2.17 (step @p93 :rule reordering :premises (@p92) :args ((or @t70 @t56 @t69 (not @t71)))) % 1.95/2.17 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p59 @p90) :args (@t69 @t59 (@list @t36 @t35 @t71))) % 1.95/2.17 (step @p95 :rule not_implies_elim1 :premises (@p23)) % 1.95/2.17 (step @p96 :rule and_elim :premises (@p95) :args (1)) % 1.95/2.17 (step @p97 :rule cnf_equiv_pos1 :args (@t69)) % 1.95/2.17 (step @p98 :rule reordering :premises (@p97) :args ((or (not @t39) @t68 (not @t69)))) % 1.95/2.17 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p94) :args (@t68 @t72 (@list @t39 @t69))) % 1.95/2.17 (step @p100 :rule skolemize :premises (@p99)) % 1.95/2.17 (step @p101 :rule bool-double-not-elim :args (@t73)) % 1.95/2.17 (step @p102 :rule refl :args (@t78)) % 1.95/2.17 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t78 (not @t77)))) % 1.95/2.17 (step @p104 :rule cnf_or_neg :args (@t78 0)) % 1.95/2.17 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 1.95/2.17 (step @p106 :rule reordering :premises (@p105) :args ((or @t73 @t78))) % 1.95/2.17 (step @p107 :rule chain_m_resolution :premises (@p106 @p100) :args (@t73 @t79 @t80)) % 1.95/2.17 (step @p108 :rule instantiate :premises (@p57) :args ((@list tptp.xm tptp.xn))) % 1.95/2.17 (step @p109 :rule cnf_or_pos :args (@t83)) % 1.95/2.17 (step @p110 :rule reordering :premises (@p109) :args ((or @t57 @t70 @t82 (not @t83)))) % 1.95/2.17 (step @p111 :rule chain_m_resolution :premises (@p110 @p60 @p91 @p108) :args (@t82 @t59 (@list @t37 @t36 @t83))) % 1.95/2.17 (step @p112 :rule and_elim :premises (@p95) :args (0)) % 1.95/2.17 (step @p113 :rule cnf_equiv_pos1 :args (@t82)) % 1.95/2.17 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t40) @t81 (not @t82)))) % 1.95/2.17 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p111) :args (@t81 @t72 (@list @t40 @t82))) % 1.95/2.17 (step @p116 :rule skolemize :premises (@p115)) % 1.95/2.17 (step @p117 :rule bool-double-not-elim :args (@t84)) % 1.95/2.17 (step @p118 :rule refl :args (@t89)) % 1.95/2.17 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t89 (not @t88)))) % 1.95/2.17 (step @p120 :rule cnf_or_neg :args (@t89 0)) % 1.95/2.17 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 1.95/2.17 (step @p122 :rule reordering :premises (@p121) :args ((or @t84 @t89))) % 1.95/2.17 (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t84 @t79 @t90)) % 1.95/2.17 (step @p124 :rule cnf_or_pos :args (@t93)) % 1.95/2.18 (step @p125 :rule reordering :premises (@p124) :args ((or @t57 @t88 @t77 @t92 (not @t93)))) % 1.95/2.18 (step @p126 :rule chain_m_resolution :premises (@p125 @p60 @p123 @p107 @p89) :args (@t92 (@list false false false false) (@list @t37 @t84 @t73 @t93))) % 1.95/2.18 (step @p127 :rule refl :args (@t63)) % 1.95/2.18 (step @p128 :rule bool-double-not-elim :args (@t86)) % 1.95/2.18 (step @p129 :rule nary_cong :premises (@p118 @p128) :args ((or @t89 (not @t87)))) % 1.95/2.18 (step @p130 :rule cnf_or_neg :args (@t89 1)) % 1.95/2.18 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 1.95/2.18 (step @p132 :rule reordering :premises (@p131) :args ((or @t86 @t89))) % 1.95/2.18 (step @p133 :rule chain_m_resolution :premises (@p132 @p116) :args (@t86 @t79 @t90)) % 1.95/2.18 (step @p134 :rule cong :premises (@p133 @p127) :args (@t74)) % 1.95/2.18 (step @p135 :rule bool-double-not-elim :args (@t75)) % 1.95/2.18 (step @p136 :rule nary_cong :premises (@p102 @p135) :args ((or @t78 (not @t76)))) % 1.95/2.18 (step @p137 :rule cnf_or_neg :args (@t78 1)) % 1.95/2.18 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 1.95/2.18 (step @p139 :rule reordering :premises (@p138) :args ((or @t75 @t78))) % 1.95/2.18 (step @p140 :rule chain_m_resolution :premises (@p139 @p100) :args (@t75 @t79 @t80)) % 1.95/2.18 (step @p141 :rule trans :premises (@p140 @p134 @p126)) % 1.95/2.18 (step @p142 :rule cnf_or_pos :args (@t98)) % 1.95/2.18 (step @p143 :rule reordering :premises (@p142) :args ((or @t97 @t95 (not @t98)))) % 1.95/2.18 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p73) :args (@t97 @t72 (@list @t94 @t98))) % 1.95/2.18 (step @p145 :rule cnf_or_pos :args (@t99)) % 1.95/2.18 (step @p146 :rule reordering :premises (@p145) :args ((or @t88 @t77 @t96 @t100))) % 1.95/2.18 (step @p147 :rule chain_m_resolution :premises (@p146 @p123 @p107 @p144) :args (@t100 (@list false false true) (@list @t84 @t73 @t96))) % 1.95/2.18 (assume-push @p154 @t101) % 1.95/2.18 (step @p149 :rule instantiate :premises (@p33) :args ((@list @t65 @t63))) % 1.95/2.18 (step-pop @p155 :rule scope :premises (@p149)) % 1.95/2.18 (step @p150 :rule process_scope :premises (@p155) :args (@t99)) % 1.95/2.18 (step @p152 :rule implies_elim :premises (@p150)) % 1.95/2.18 (step @p153 false :rule chain_m_resolution :premises (@p152 @p147 @p33) :args (false @t61 (@list @t99 @t101))) % 1.95/2.18 ) % 1.95/2.18 % SZS output end Proof % 1.95/2.18 % cvc5 exiting %------------------------------------------------------------------------------