%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM465+2 : 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 : 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 08:39:30 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM465+2 : 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 : n014.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 11:22:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.xm $$unsorted) % 0.45/0.63 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xn $$unsorted) % 0.45/0.63 (declare-const tptp.sz10 $$unsorted) % 0.45/0.63 (declare-const tptp.sz00 $$unsorted) % 0.45/0.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.45/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.45/0.63 (define @t3 () (@list @t1)) % 0.45/0.63 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 0.45/0.63 (define @t5 () (@var "W1" $$unsorted)) % 0.45/0.63 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.45/0.63 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.45/0.63 (define @t8 () (and @t2 @t7)) % 0.45/0.63 (define @t9 () (@list @t1 @t5)) % 0.45/0.63 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.45/0.63 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 0.45/0.63 (define @t12 () (forall @t9 (=> @t8 @t11))) % 0.45/0.63 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 0.45/0.63 (define @t14 () (@var "W2" $$unsorted)) % 0.45/0.63 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 0.45/0.63 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 0.45/0.63 (define @t17 () (and @t2 @t7 @t16)) % 0.45/0.63 (define @t18 () (@list @t1 @t5 @t14)) % 0.45/0.63 (define @t19 () (tptp.sdtasdt0 @t5 @t1)) % 0.45/0.63 (define @t20 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.45/0.63 (define @t21 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.45/0.63 (define @t22 () (and (= @t21 @t1) @t20)) % 0.45/0.63 (define @t23 () (=> @t2 @t22)) % 0.45/0.63 (define @t24 () (forall @t3 @t23)) % 0.45/0.63 (define @t25 () (tptp.sdtasdt0 @t14 @t1)) % 0.45/0.63 (define @t26 () (tptp.sdtasdt0 @t1 @t14)) % 0.45/0.63 (define @t27 () (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t26)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t19 @t25)))) % 0.45/0.63 (define @t28 () (forall @t18 (=> @t17 @t27))) % 0.45/0.63 (define @t29 () (= @t5 @t14)) % 0.45/0.63 (define @t30 () (tptp.sdtpldt0 @t14 @t1)) % 0.45/0.63 (define @t31 () (tptp.sdtpldt0 @t1 @t14)) % 0.45/0.63 (define @t32 () (= @t19 @t25)) % 0.45/0.63 (define @t33 () (= @t10 @t26)) % 0.45/0.63 (define @t34 () (and @t7 @t16)) % 0.45/0.63 (define @t35 () (= @t1 tptp.sz00)) % 0.45/0.63 (define @t36 () (not @t35)) % 0.45/0.63 (define @t37 () (= @t5 tptp.sz00)) % 0.45/0.63 (define @t38 () (and @t16 (= @t31 @t5))) % 0.45/0.63 (define @t39 () (@list @t14)) % 0.45/0.63 (define @t40 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.45/0.63 (define @t41 () (= @t1 @t5)) % 0.45/0.63 (define @t42 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.45/0.63 (define @t43 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.45/0.63 (define @t44 () (tptp.sdtpldt0 @t14 @t5)) % 0.45/0.63 (define @t45 () (tptp.aNaturalNumber0 tptp.xn)) % 0.45/0.63 (define @t46 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xm)) % 0.45/0.63 (define @t47 () (tptp.sdtpldt0 tptp.sz10 @t1)) % 0.45/0.63 (define @t48 () (and @t2 (= @t47 tptp.xm))) % 0.45/0.63 (define @t49 () (exists @t3 @t48)) % 0.45/0.63 (define @t50 () (and @t49 @t46)) % 0.45/0.63 (define @t51 () (not (= tptp.xm tptp.sz00))) % 0.45/0.63 (define @t52 () (=> @t51 @t50)) % 0.45/0.63 (define @t53 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.45/0.63 (define @t54 () (tptp.sdtlseqdt0 tptp.xn @t53)) % 0.45/0.63 (define @t55 () (= (tptp.sdtpldt0 tptp.xn @t1) @t53)) % 0.45/0.63 (define @t56 () (and @t2 @t55)) % 0.45/0.63 (define @t57 () (exists @t3 @t56)) % 0.45/0.63 (define @t58 () (or @t57 @t54)) % 0.45/0.63 (define @t59 () (=> @t51 @t58)) % 0.45/0.63 (define @t60 () (not @t59)) % 0.45/0.63 (define @t61 () (forall @t3 (not @t56))) % 0.45/0.63 (define @t62 () (not @t61)) % 0.45/0.63 (define @t63 () (= tptp.xm @t47)) % 0.45/0.63 (define @t64 () (not @t2)) % 0.45/0.63 (define @t65 () (forall @t3 (or @t64 (not @t63)))) % 0.45/0.63 (define @t66 () (not @t65)) % 0.45/0.63 (define @t67 () (and @t66 @t46)) % 0.45/0.63 (define @t68 () (= tptp.sz00 tptp.xm)) % 0.45/0.63 (define @t69 () (and @t2 @t63)) % 0.45/0.63 (define @t70 () (forall @t3 (not @t69))) % 0.45/0.63 (define @t71 () (not @t70)) % 0.45/0.63 (define @t72 () (@list true)) % 0.45/0.63 (define @t73 () (@list false)) % 0.45/0.63 (define @t74 () (@quantifiers_skolemize @t65 0)) % 0.45/0.63 (define @t75 () (tptp.sdtpldt0 tptp.sz10 @t74)) % 0.45/0.63 (define @t76 () (= tptp.xm @t75)) % 0.45/0.63 (define @t77 () (not @t76)) % 0.45/0.63 (define @t78 () (tptp.aNaturalNumber0 @t74)) % 0.45/0.63 (define @t79 () (not @t78)) % 0.45/0.63 (define @t80 () (or @t79 @t77)) % 0.45/0.63 (define @t81 () (@list @t80)) % 0.45/0.63 (define @t82 () (and (= @t1 @t21) @t20)) % 0.45/0.63 (define @t83 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 0.45/0.63 (define @t84 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 0.45/0.63 (define @t85 () (= tptp.xn @t84)) % 0.45/0.63 (define @t86 () (and @t85 (= tptp.xn @t83))) % 0.45/0.63 (define @t87 () (not @t45)) % 0.45/0.63 (define @t88 () (or @t87 @t86)) % 0.45/0.63 (define @t89 () (@list false false)) % 0.45/0.63 (define @t90 () (not @t16)) % 0.45/0.63 (define @t91 () (not @t7)) % 0.45/0.63 (define @t92 () (or @t64 @t91 @t90)) % 0.45/0.63 (define @t93 () (tptp.sdtasdt0 tptp.xn @t74)) % 0.45/0.63 (define @t94 () (tptp.sdtpldt0 @t84 @t93)) % 0.45/0.63 (define @t95 () (= (tptp.sdtasdt0 tptp.xn @t75) @t94)) % 0.45/0.63 (define @t96 () (and @t95 (= (tptp.sdtasdt0 @t75 tptp.xn) (tptp.sdtpldt0 @t83 (tptp.sdtasdt0 @t74 tptp.xn))))) % 0.45/0.63 (define @t97 () (not @t4)) % 0.45/0.63 (define @t98 () (or @t87 @t97 @t79 @t96)) % 0.45/0.63 (define @t99 () (@list @t96)) % 0.45/0.63 (define @t100 () (tptp.sdtpldt0 tptp.xn @t93)) % 0.45/0.63 (define @t101 () (not (= @t100 @t53))) % 0.45/0.63 (define @t102 () (tptp.aNaturalNumber0 @t93)) % 0.45/0.63 (define @t103 () (not @t102)) % 0.45/0.63 (define @t104 () (or @t103 @t101)) % 0.45/0.63 (define @t105 () (forall @t3 (or @t64 (not @t55)))) % 0.45/0.63 (define @t106 () (= @t53 @t100)) % 0.45/0.63 (define @t107 () (not @t106)) % 0.45/0.63 (define @t108 () (or @t103 @t107)) % 0.45/0.63 (define @t109 () (or @t87 @t79 @t102)) % 0.45/0.63 (define @t110 () (not @t95)) % 0.45/0.63 (define @t111 () (not @t85)) % 0.45/0.63 (define @t112 () (and @t107 @t106)) % 0.45/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.45/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.45/0.63 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 0.45/0.63 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.45/0.63 (assume @p5 @t12) % 0.45/0.63 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 0.45/0.63 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 0.45/0.63 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.45/0.63 (assume @p9 (forall @t9 (=> @t8 (= @t10 @t19)))) % 0.45/0.63 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 0.45/0.63 (assume @p11 @t24) % 0.45/0.63 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.45/0.63 (assume @p13 @t28) % 0.45/0.63 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t31) (= @t13 @t30)) @t29)))) % 0.45/0.63 (assume @p15 (forall @t3 (=> @t2 (=> @t36 (forall (@list @t5 @t14) (=> @t34 (=> (or @t33 @t32) @t29))))))) % 0.45/0.63 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t35 @t37))))) % 0.45/0.63 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t35 @t37))))) % 0.45/0.63 (assume @p18 (forall @t9 (=> @t8 (= @t40 (exists @t39 @t38))))) % 0.45/0.63 (assume @p19 (forall @t9 (=> @t8 (=> @t40 (forall @t39 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t38)))))) % 0.45/0.63 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.45/0.63 (assume @p21 (forall @t9 (=> @t8 (=> (and @t40 @t42) @t41)))) % 0.45/0.63 (assume @p22 (forall @t18 (=> @t17 (=> (and @t40 @t43) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.45/0.63 (assume @p23 (forall @t9 (=> @t8 (or @t40 (and (not (= @t5 @t1)) @t42))))) % 0.45/0.63 (assume @p24 (forall @t9 (=> @t8 (=> (and (not @t41) @t40) (forall @t39 (=> @t16 (and (not (= @t30 @t44)) (tptp.sdtlseqdt0 @t30 @t44) (not (= @t31 @t15)) (tptp.sdtlseqdt0 @t31 @t15)))))))) % 0.45/0.63 (assume @p25 (forall @t18 (=> @t17 (=> (and @t36 (not @t29) @t43) (and (not @t33) (tptp.sdtlseqdt0 @t10 @t26) (not @t32) (tptp.sdtlseqdt0 @t19 @t25)))))) % 0.45/0.63 (assume @p26 (forall @t3 (=> @t2 (or @t35 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.45/0.63 (assume @p27 (and (tptp.aNaturalNumber0 tptp.xm) @t45)) % 0.45/0.63 (assume @p28 @t52) % 0.45/0.63 (assume @p29 @t60) % 0.45/0.63 (assume @p30 true) % 0.45/0.63 (step @p31 :rule refl :args (@t54)) % 0.45/0.63 (step @p32 :rule bool-and-de-morgan :args (@t2 @t55 true)) % 0.45/0.63 (step @p33 :rule cong :premises (@p32) :args (@t61)) % 0.45/0.63 (step @p34 :rule cong :premises (@p33) :args (@t62)) % 0.45/0.63 (step @p35 :rule exists-elim :args ((= @t57 @t62))) % 0.45/0.63 (step @p36 :rule trans :premises (@p35 @p34)) % 0.45/0.63 (step @p37 :rule nary_cong :premises (@p36 @p31) :args (@t58)) % 0.45/0.63 (step @p38 :rule eq-symm :args (tptp.xm tptp.sz00)) % 0.45/0.63 (step @p39 :rule cong :premises (@p38) :args (@t51)) % 0.45/0.63 (step @p40 :rule cong :premises (@p39 @p37) :args (@t59)) % 0.45/0.63 (step @p41 :rule cong :premises (@p40) :args (@t60)) % 0.45/0.63 (step @p42 :rule eq_resolve :premises (@p29 @p41)) % 0.45/0.63 (step @p43 :rule not_implies_elim1 :premises (@p42)) % 0.45/0.63 (step @p44 :rule refl :args (@t67)) % 0.45/0.63 (step @p45 :rule bool-double-not-elim :args (@t68)) % 0.45/0.63 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not (not @t68)) @t67))) % 0.45/0.63 (step @p47 :rule refl :args (@t46)) % 0.45/0.63 (step @p48 :rule bool-and-de-morgan :args (@t2 @t63 true)) % 0.45/0.63 (step @p49 :rule cong :premises (@p48) :args (@t70)) % 0.45/0.63 (step @p50 :rule cong :premises (@p49) :args (@t71)) % 0.45/0.63 (step @p51 :rule exists-elim :args ((= (exists @t3 @t69) @t71))) % 0.45/0.63 (step @p52 :rule trans :premises (@p51 @p50)) % 0.45/0.63 (step @p53 :rule eq-symm :args (@t47 tptp.xm)) % 0.45/0.63 (step @p54 :rule refl :args (@t2)) % 0.45/0.63 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t48)) % 0.45/0.63 (step @p56 :rule cong :premises (@p55) :args (@t49)) % 0.45/0.63 (step @p57 :rule trans :premises (@p56 @p52)) % 0.45/0.63 (step @p58 :rule nary_cong :premises (@p57 @p47) :args (@t50)) % 0.45/0.63 (step @p59 :rule cong :premises (@p39 @p58) :args (@t52)) % 0.45/0.63 (step @p60 :rule eq_resolve :premises (@p28 @p59)) % 0.45/0.63 (step @p61 :rule implies_elim :premises (@p60)) % 0.45/0.63 (step @p62 :rule eq_resolve :premises (@p61 @p46)) % 0.45/0.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p43) :args (@t67 @t72 (@list @t68))) % 0.45/0.63 (step @p64 :rule cnf_and_pos :args (@t67 0)) % 0.45/0.63 (step @p65 :rule reordering :premises (@p64) :args ((or @t66 (not @t67)))) % 0.45/0.63 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t66 @t73 (@list @t67))) % 0.45/0.63 (step @p67 :rule skolemize :premises (@p66)) % 0.45/0.63 (step @p68 :rule bool-double-not-elim :args (@t76)) % 0.45/0.63 (step @p69 :rule refl :args (@t80)) % 0.45/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t80 (not @t77)))) % 0.45/0.63 (step @p71 :rule cnf_or_neg :args (@t80 1)) % 0.45/0.63 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.45/0.63 (step @p73 :rule reordering :premises (@p72) :args ((or @t76 @t80))) % 0.45/0.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t76 @t72 @t81)) % 0.45/0.63 (step @p75 :rule bool-impl-elim :args (@t2 @t82)) % 0.45/0.63 (step @p76 :rule cong :premises (@p75) :args ((forall @t3 (=> @t2 @t82)))) % 0.45/0.63 (step @p77 :rule refl :args (@t20)) % 0.45/0.63 (step @p78 :rule eq-symm :args (@t21 @t1)) % 0.45/0.63 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t22)) % 0.45/0.63 (step @p80 :rule cong :premises (@p54 @p79) :args (@t23)) % 0.45/0.63 (step @p81 :rule cong :premises (@p80) :args (@t24)) % 0.45/0.63 (step @p82 :rule trans :premises (@p81 @p76)) % 0.45/0.63 (step @p83 :rule eq_resolve :premises (@p11 @p82)) % 0.45/0.63 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.xn))) % 0.45/0.63 (step @p85 :rule and_elim :premises (@p27) :args (1)) % 0.45/0.63 (step @p86 :rule cnf_or_pos :args (@t88)) % 0.45/0.63 (step @p87 :rule reordering :premises (@p86) :args ((or @t87 @t86 (not @t88)))) % 0.45/0.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p84) :args (@t86 @t89 (@list @t45 @t88))) % 0.45/0.63 (step @p89 :rule cnf_and_pos :args (@t86 0)) % 0.45/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t85 (not @t86)))) % 0.45/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t85 @t73 (@list @t86))) % 0.45/0.63 (step @p92 :rule aci_norm :args ((= (or @t92 @t27) (or @t64 @t91 @t90 @t27)))) % 0.45/0.63 (step @p93 :rule refl :args (@t27)) % 0.45/0.63 (step @p94 :rule aci_norm :args ((= (or @t64 (or @t91 @t90)) @t92))) % 0.45/0.63 (step @p95 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 0.45/0.63 (step @p96 :rule refl :args (@t64)) % 0.45/0.63 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t64 (not @t34)))) % 0.45/0.63 (step @p98 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 0.45/0.63 (step @p99 :rule trans :premises (@p98 @p97)) % 0.45/0.63 (step @p100 :rule trans :premises (@p99 @p94)) % 0.45/0.63 (step @p101 :rule nary_cong :premises (@p100 @p93) :args ((or (not @t17) @t27))) % 0.45/0.63 (step @p102 :rule trans :premises (@p101 @p92)) % 0.45/0.63 (step @p103 :rule bool-impl-elim :args (@t17 @t27)) % 0.45/0.63 (step @p104 :rule trans :premises (@p103 @p102)) % 0.45/0.63 (step @p105 :rule cong :premises (@p104) :args (@t28)) % 0.45/0.63 (step @p106 :rule eq_resolve :premises (@p13 @p105)) % 0.45/0.63 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xn tptp.sz10 @t74))) % 0.45/0.63 (step @p108 :rule bool-double-not-elim :args (@t78)) % 0.45/0.63 (step @p109 :rule nary_cong :premises (@p69 @p108) :args ((or @t80 (not @t79)))) % 0.45/0.63 (step @p110 :rule cnf_or_neg :args (@t80 0)) % 0.45/0.63 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.45/0.63 (step @p112 :rule reordering :premises (@p111) :args ((or @t78 @t80))) % 0.45/0.63 (step @p113 :rule chain_m_resolution :premises (@p112 @p67) :args (@t78 @t72 @t81)) % 0.45/0.63 (step @p114 :rule and_elim :premises (@p3) :args (0)) % 0.45/0.63 (step @p115 :rule cnf_or_pos :args (@t98)) % 0.45/0.63 (step @p116 :rule reordering :premises (@p115) :args ((or @t97 @t87 @t79 @t96 (not @t98)))) % 0.45/0.63 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p85 @p113 @p107) :args (@t96 (@list false false false false) (@list @t4 @t45 @t78 @t98))) % 0.45/0.63 (step @p118 :rule cnf_and_pos :args (@t96 0)) % 0.45/0.63 (step @p119 :rule reordering :premises (@p118) :args ((or @t95 (not @t96)))) % 0.45/0.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t95 @t73 @t99)) % 0.45/0.63 (step @p121 :rule not_implies_elim2 :premises (@p42)) % 0.45/0.63 (step @p122 :rule not_or_elim :premises (@p121) :args (0)) % 0.45/0.63 (step @p123 :rule not_not_elim :premises (@p122)) % 0.45/0.63 (step @p124 :rule eq-symm :args (@t100 @t53)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t101)) % 0.45/0.63 (step @p126 :rule refl :args (@t103)) % 0.45/0.63 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t104)) % 0.45/0.63 (step @p128 :rule refl :args (@t105)) % 0.45/0.63 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t105 @t104))) % 0.45/0.63 (assume-push @p192 @t105) % 0.45/0.63 (step @p131 :rule instantiate :premises (@p123) :args ((@list @t93))) % 0.45/0.63 (step-pop @p193 :rule scope :premises (@p131)) % 0.45/0.63 (step @p132 :rule process_scope :premises (@p193) :args (@t104)) % 0.45/0.63 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 0.45/0.63 (step @p135 :rule implies_elim :premises (@p134)) % 0.45/0.63 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t108 @t73 (@list @t105))) % 0.45/0.63 (step @p137 :rule aci_norm :args ((= (or (or @t64 @t91) @t11) (or @t64 @t91 @t11)))) % 0.45/0.63 (step @p138 :rule refl :args (@t11)) % 0.45/0.63 (step @p139 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.45/0.63 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or (not @t8) @t11))) % 0.45/0.63 (step @p141 :rule trans :premises (@p140 @p137)) % 0.45/0.63 (step @p142 :rule bool-impl-elim :args (@t8 @t11)) % 0.45/0.63 (step @p143 :rule trans :premises (@p142 @p141)) % 0.45/0.63 (step @p144 :rule cong :premises (@p143) :args (@t12)) % 0.45/0.63 (step @p145 :rule eq_resolve :premises (@p5 @p144)) % 0.45/0.63 (step @p146 :rule instantiate :premises (@p145) :args ((@list tptp.xn @t74))) % 0.45/0.63 (step @p147 :rule cnf_or_pos :args (@t109)) % 0.45/0.63 (step @p148 :rule reordering :premises (@p147) :args ((or @t87 @t79 @t102 (not @t109)))) % 0.45/0.63 (step @p149 :rule chain_m_resolution :premises (@p148 @p85 @p113 @p146) :args (@t102 (@list false false false) (@list @t45 @t78 @t109))) % 0.45/0.63 (step @p150 :rule cnf_or_pos :args (@t108)) % 0.45/0.63 (step @p151 :rule reordering :premises (@p150) :args ((or @t103 @t107 (not @t108)))) % 0.45/0.63 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p136) :args (@t107 @t89 (@list @t102 @t108))) % 0.45/0.63 (step @p153 :rule bool-double-not-elim :args (@t106)) % 0.45/0.63 (step @p154 :rule refl :args (@t110)) % 0.45/0.63 (step @p155 :rule refl :args (@t111)) % 0.45/0.63 (step @p156 :rule refl :args (@t77)) % 0.45/0.63 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p153) :args ((or @t77 @t111 @t110 (not @t107)))) % 0.45/0.63 (assume-push @p194 @t107) % 0.45/0.63 (assume-push @p195 @t106) % 0.45/0.63 (step @p160 :rule evaluate :args ((= true false))) % 0.45/0.63 (step @p161 :rule false_intro :premises (@p152)) % 0.45/0.63 (step @p162 :rule refl :args (@t93)) % 0.45/0.63 (step @p163 :rule symm :premises (@p91)) % 0.45/0.63 (step @p164 :rule cong :premises (@p163 @p162) :args (@t94)) % 0.45/0.63 (step @p165 :rule chain_m_resolution :premises (@p119 @p117) :args (@t95 @t73 @t99)) % 0.45/0.63 (step @p166 :rule refl :args (tptp.xn)) % 0.45/0.63 (step @p167 :rule cong :premises (@p166 @p74) :args (@t53)) % 0.45/0.63 (step @p168 :rule trans :premises (@p167 @p165 @p164)) % 0.45/0.63 (step @p169 :rule true_intro :premises (@p168)) % 0.45/0.63 (step @p170 :rule symm :premises (@p169)) % 0.45/0.63 (step @p171 :rule trans :premises (@p170 @p161)) % 0.45/0.63 (step @p172 false :rule eq_resolve :premises (@p171 @p160)) % 0.45/0.63 (step-pop @p196 :rule scope :premises (@p172)) % 0.45/0.63 (step-pop @p197 :rule scope :premises (@p196)) % 0.45/0.63 (step @p173 :rule process_scope :premises (@p197) :args (false)) % 0.45/0.63 (assume-push @p198 @t76) % 0.45/0.63 (assume-push @p199 @t85) % 0.45/0.63 (assume-push @p200 @t95) % 0.45/0.63 (assume-push @p201 @t107) % 0.45/0.63 (step @p162 :rule refl :args (@t93)) % 0.45/0.63 (step @p163 :rule symm :premises (@p91)) % 0.45/0.63 (step @p164 :rule cong :premises (@p163 @p162) :args (@t94)) % 0.45/0.63 (step @p166 :rule refl :args (tptp.xn)) % 0.45/0.63 (step @p167 :rule cong :premises (@p166 @p74) :args (@t53)) % 0.45/0.63 (step @p180 :rule trans :premises (@p167 @p120 @p164)) % 0.45/0.63 (step @p181 :rule and_intro :premises (@p152 @p180)) % 0.45/0.63 (step-pop @p202 :rule scope :premises (@p181)) % 0.45/0.63 (step-pop @p203 :rule scope :premises (@p202)) % 0.45/0.63 (step-pop @p204 :rule scope :premises (@p203)) % 0.45/0.63 (step-pop @p205 :rule scope :premises (@p204)) % 0.45/0.63 (step @p182 :rule process_scope :premises (@p205) :args (@t112)) % 0.45/0.63 (step @p187 :rule implies_elim :premises (@p182)) % 0.45/0.63 (step @p188 :rule resolution :premises (@p187 @p173) :args (true @t112)) % 0.45/0.63 (step @p189 :rule not_and :premises (@p188)) % 0.45/0.63 (step @p190 :rule eq_resolve :premises (@p189 @p157)) % 0.45/0.63 (step @p191 false :rule chain_m_resolution :premises (@p190 @p152 @p120 @p91 @p74) :args (false (@list true false false false) (@list @t106 @t95 @t85 @t76))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------