%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM466+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 : 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 08:39:30 AM UTC 2026 % Result : Theorem 0.21s 0.43s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM466+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:22:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.43 % SZS status Theorem % 0.21/0.43 % SZS output start Proof % 0.21/0.43 ( % 0.21/0.43 (declare-sort $$unsorted 0) % 0.21/0.43 (declare-const tptp.xn $$unsorted) % 0.21/0.43 (declare-const tptp.xm $$unsorted) % 0.21/0.43 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.21/0.43 (declare-const tptp.xl $$unsorted) % 0.21/0.43 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.43 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.43 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.43 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.21/0.43 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.43 (declare-const tptp.sz10 $$unsorted) % 0.21/0.43 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.21/0.43 (declare-const tptp.sz00 $$unsorted) % 0.21/0.43 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.21/0.43 (define @t1 () (@var "W0" $$unsorted)) % 0.21/0.43 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.21/0.43 (define @t3 () (@list @t1)) % 0.21/0.43 (define @t4 () (@var "W1" $$unsorted)) % 0.21/0.43 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.21/0.43 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.21/0.43 (define @t7 () (and @t2 @t6)) % 0.21/0.43 (define @t8 () (@list @t1 @t4)) % 0.21/0.43 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.21/0.43 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 0.21/0.43 (define @t11 () (forall @t8 (=> @t7 @t10))) % 0.21/0.43 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.21/0.43 (define @t13 () (@var "W2" $$unsorted)) % 0.21/0.43 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.21/0.43 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 0.21/0.43 (define @t16 () (and @t2 @t6 @t15)) % 0.21/0.43 (define @t17 () (@list @t1 @t4 @t13)) % 0.21/0.43 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 0.21/0.43 (define @t19 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 0.21/0.43 (define @t20 () (forall @t17 (=> @t16 @t19))) % 0.21/0.43 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 0.21/0.43 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 0.21/0.43 (define @t23 () (= @t4 @t13)) % 0.21/0.43 (define @t24 () (tptp.sdtpldt0 @t13 @t1)) % 0.21/0.43 (define @t25 () (tptp.sdtpldt0 @t1 @t13)) % 0.21/0.43 (define @t26 () (= @t18 @t21)) % 0.21/0.43 (define @t27 () (= @t9 @t22)) % 0.21/0.43 (define @t28 () (and @t6 @t15)) % 0.21/0.43 (define @t29 () (= @t1 tptp.sz00)) % 0.21/0.43 (define @t30 () (not @t29)) % 0.21/0.43 (define @t31 () (= @t4 tptp.sz00)) % 0.21/0.43 (define @t32 () (and @t15 (= @t25 @t4))) % 0.21/0.43 (define @t33 () (@list @t13)) % 0.21/0.43 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.21/0.43 (define @t35 () (= @t1 @t4)) % 0.21/0.43 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.21/0.43 (define @t37 () (tptp.sdtlseqdt0 @t4 @t13)) % 0.21/0.43 (define @t38 () (tptp.sdtpldt0 @t13 @t4)) % 0.21/0.43 (define @t39 () (and (not @t35) @t34)) % 0.21/0.43 (define @t40 () (tptp.iLess0 @t1 @t4)) % 0.21/0.43 (define @t41 () (and @t15 (= @t4 @t22))) % 0.21/0.43 (define @t42 () (tptp.doDivides0 @t1 @t4)) % 0.21/0.43 (define @t43 () (tptp.aNaturalNumber0 tptp.xl)) % 0.21/0.43 (define @t44 () (tptp.doDivides0 tptp.xl tptp.xn)) % 0.21/0.43 (define @t45 () (tptp.sdtasdt0 tptp.xl @t1)) % 0.21/0.43 (define @t46 () (= tptp.xn @t45)) % 0.21/0.43 (define @t47 () (and @t2 @t46)) % 0.21/0.43 (define @t48 () (exists @t3 @t47)) % 0.21/0.43 (define @t49 () (or @t48 @t44)) % 0.21/0.43 (define @t50 () (tptp.doDivides0 tptp.xm tptp.xn)) % 0.21/0.43 (define @t51 () (= tptp.xn (tptp.sdtasdt0 tptp.xm @t1))) % 0.21/0.43 (define @t52 () (and @t2 @t51)) % 0.21/0.43 (define @t53 () (exists @t3 @t52)) % 0.21/0.43 (define @t54 () (tptp.doDivides0 tptp.xl tptp.xm)) % 0.21/0.43 (define @t55 () (= tptp.xm @t45)) % 0.21/0.43 (define @t56 () (and @t2 @t55)) % 0.21/0.43 (define @t57 () (exists @t3 @t56)) % 0.21/0.43 (define @t58 () (and @t57 @t54 @t53 @t50)) % 0.21/0.43 (define @t59 () (=> @t58 @t49)) % 0.21/0.43 (define @t60 () (not @t59)) % 0.21/0.43 (define @t61 () (forall @t3 (not @t47))) % 0.21/0.43 (define @t62 () (not @t61)) % 0.21/0.43 (define @t63 () (forall @t3 (not @t52))) % 0.21/0.43 (define @t64 () (not @t63)) % 0.21/0.43 (define @t65 () (forall @t3 (not @t56))) % 0.21/0.43 (define @t66 () (not @t65)) % 0.21/0.43 (define @t67 () (not @t2)) % 0.21/0.43 (define @t68 () (@quantifiers_skolemize (forall @t3 (or @t67 (not @t55))) 0)) % 0.21/0.43 (define @t69 () (tptp.sdtasdt0 tptp.xl @t68)) % 0.21/0.43 (define @t70 () (= tptp.xm @t69)) % 0.21/0.43 (define @t71 () (not @t70)) % 0.21/0.43 (define @t72 () (tptp.aNaturalNumber0 @t68)) % 0.21/0.43 (define @t73 () (not @t72)) % 0.21/0.43 (define @t74 () (or @t73 @t71)) % 0.21/0.43 (define @t75 () (@list true)) % 0.21/0.43 (define @t76 () (@list @t74)) % 0.21/0.43 (define @t77 () (@quantifiers_skolemize (forall @t3 (or @t67 (not @t51))) 0)) % 0.21/0.43 (define @t78 () (tptp.sdtasdt0 tptp.xm @t77)) % 0.21/0.43 (define @t79 () (= tptp.xn @t78)) % 0.21/0.43 (define @t80 () (not @t79)) % 0.21/0.43 (define @t81 () (tptp.aNaturalNumber0 @t77)) % 0.21/0.43 (define @t82 () (not @t81)) % 0.21/0.43 (define @t83 () (or @t82 @t80)) % 0.21/0.43 (define @t84 () (@list @t83)) % 0.21/0.43 (define @t85 () (not @t15)) % 0.21/0.43 (define @t86 () (not @t6)) % 0.21/0.43 (define @t87 () (or @t67 @t86 @t85)) % 0.21/0.43 (define @t88 () (tptp.sdtasdt0 @t68 @t77)) % 0.21/0.43 (define @t89 () (tptp.sdtasdt0 tptp.xl @t88)) % 0.21/0.43 (define @t90 () (= (tptp.sdtasdt0 @t69 @t77) @t89)) % 0.21/0.43 (define @t91 () (not @t43)) % 0.21/0.43 (define @t92 () (or @t91 @t73 @t82 @t90)) % 0.21/0.43 (define @t93 () (@list false false false false)) % 0.21/0.43 (define @t94 () (@list @t43 @t72 @t81 @t92)) % 0.21/0.43 (define @t95 () (tptp.aNaturalNumber0 @t88)) % 0.21/0.43 (define @t96 () (or @t73 @t82 @t95)) % 0.21/0.43 (define @t97 () (= tptp.xn @t89)) % 0.21/0.43 (define @t98 () (not @t97)) % 0.21/0.43 (define @t99 () (not @t95)) % 0.21/0.43 (define @t100 () (or @t99 @t98)) % 0.21/0.43 (define @t101 () (not @t90)) % 0.21/0.43 (define @t102 () (and @t97 @t98)) % 0.21/0.43 (assume @p1 (forall @t3 (=> @t2 true))) % 0.21/0.43 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.21/0.43 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.21/0.43 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.21/0.43 (assume @p5 @t11) % 0.21/0.43 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 0.21/0.43 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 0.21/0.43 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.21/0.43 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t18)))) % 0.21/0.43 (assume @p10 @t20) % 0.21/0.43 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.21/0.43 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.21/0.43 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t21)))))) % 0.21/0.43 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t25) (= @t12 @t24)) @t23)))) % 0.21/0.43 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t13) (=> @t28 (=> (or @t27 @t26) @t23))))))) % 0.21/0.43 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 0.21/0.43 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 0.21/0.43 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 0.21/0.43 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 0.21/0.43 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.21/0.43 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 0.21/0.43 (assume @p22 (forall @t17 (=> @t16 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.21/0.43 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not (= @t4 @t1)) @t36))))) % 0.21/0.43 (assume @p24 (forall @t8 (=> @t7 (=> @t39 (forall @t33 (=> @t15 (and (not (= @t24 @t38)) (tptp.sdtlseqdt0 @t24 @t38) (not (= @t25 @t14)) (tptp.sdtlseqdt0 @t25 @t14)))))))) % 0.21/0.43 (assume @p25 (forall @t17 (=> @t16 (=> (and @t30 (not @t23) @t37) (and (not @t27) (tptp.sdtlseqdt0 @t9 @t22) (not @t26) (tptp.sdtlseqdt0 @t18 @t21)))))) % 0.21/0.43 (assume @p26 (forall @t3 (=> @t2 (or @t29 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.21/0.43 (assume @p27 (forall @t8 (=> @t7 (=> @t30 (tptp.sdtlseqdt0 @t4 @t18))))) % 0.21/0.43 (assume @p28 (forall @t8 (=> @t7 (=> @t40 true)))) % 0.21/0.43 (assume @p29 (forall @t8 (=> @t7 (=> @t39 @t40)))) % 0.21/0.43 (assume @p30 (forall @t8 (=> @t7 (= @t42 (exists @t33 @t41))))) % 0.21/0.43 (assume @p31 (forall @t8 (=> @t7 (=> (and @t30 @t42) (forall @t33 (= (= @t13 (tptp.sdtsldt0 @t4 @t1)) @t41)))))) % 0.21/0.43 (assume @p32 (and @t43 (tptp.aNaturalNumber0 tptp.xm) (tptp.aNaturalNumber0 tptp.xn))) % 0.21/0.43 (assume @p33 @t60) % 0.21/0.43 (assume @p34 true) % 0.21/0.43 (step @p35 :rule refl :args (@t44)) % 0.21/0.43 (step @p36 :rule bool-and-de-morgan :args (@t2 @t46 true)) % 0.21/0.43 (step @p37 :rule cong :premises (@p36) :args (@t61)) % 0.21/0.43 (step @p38 :rule cong :premises (@p37) :args (@t62)) % 0.21/0.43 (step @p39 :rule exists-elim :args ((= @t48 @t62))) % 0.21/0.43 (step @p40 :rule trans :premises (@p39 @p38)) % 0.21/0.43 (step @p41 :rule nary_cong :premises (@p40 @p35) :args (@t49)) % 0.21/0.43 (step @p42 :rule refl :args (@t50)) % 0.21/0.43 (step @p43 :rule bool-and-de-morgan :args (@t2 @t51 true)) % 0.21/0.43 (step @p44 :rule cong :premises (@p43) :args (@t63)) % 0.21/0.43 (step @p45 :rule cong :premises (@p44) :args (@t64)) % 0.21/0.43 (step @p46 :rule exists-elim :args ((= @t53 @t64))) % 0.21/0.43 (step @p47 :rule trans :premises (@p46 @p45)) % 0.21/0.43 (step @p48 :rule refl :args (@t54)) % 0.21/0.43 (step @p49 :rule bool-and-de-morgan :args (@t2 @t55 true)) % 0.21/0.43 (step @p50 :rule cong :premises (@p49) :args (@t65)) % 0.21/0.43 (step @p51 :rule cong :premises (@p50) :args (@t66)) % 0.21/0.43 (step @p52 :rule exists-elim :args ((= @t57 @t66))) % 0.21/0.43 (step @p53 :rule trans :premises (@p52 @p51)) % 0.21/0.43 (step @p54 :rule nary_cong :premises (@p53 @p48 @p47 @p42) :args (@t58)) % 0.21/0.43 (step @p55 :rule cong :premises (@p54 @p41) :args (@t59)) % 0.21/0.43 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 0.21/0.43 (step @p57 :rule eq_resolve :premises (@p33 @p56)) % 0.21/0.43 (step @p58 :rule not_implies_elim1 :premises (@p57)) % 0.21/0.43 (step @p59 :rule and_elim :premises (@p58) :args (0)) % 0.21/0.43 (step @p60 :rule skolemize :premises (@p59)) % 0.21/0.43 (step @p61 :rule bool-double-not-elim :args (@t70)) % 0.21/0.43 (step @p62 :rule refl :args (@t74)) % 0.21/0.43 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t74 (not @t71)))) % 0.21/0.43 (step @p64 :rule cnf_or_neg :args (@t74 1)) % 0.21/0.43 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.21/0.43 (step @p66 :rule reordering :premises (@p65) :args ((or @t70 @t74))) % 0.21/0.43 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t70 @t75 @t76)) % 0.21/0.43 (step @p68 :rule and_elim :premises (@p58) :args (2)) % 0.21/0.43 (step @p69 :rule skolemize :premises (@p68)) % 0.21/0.43 (step @p70 :rule bool-double-not-elim :args (@t79)) % 0.21/0.43 (step @p71 :rule refl :args (@t83)) % 0.21/0.43 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t83 (not @t80)))) % 0.21/0.43 (step @p73 :rule cnf_or_neg :args (@t83 1)) % 0.21/0.43 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.21/0.43 (step @p75 :rule reordering :premises (@p74) :args ((or @t79 @t83))) % 0.21/0.43 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t79 @t75 @t84)) % 0.21/0.43 (step @p77 :rule aci_norm :args ((= (or @t87 @t19) (or @t67 @t86 @t85 @t19)))) % 0.21/0.43 (step @p78 :rule refl :args (@t19)) % 0.21/0.43 (step @p79 :rule aci_norm :args ((= (or @t67 (or @t86 @t85)) @t87))) % 0.21/0.43 (step @p80 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 0.21/0.43 (step @p81 :rule refl :args (@t67)) % 0.21/0.43 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t67 (not @t28)))) % 0.21/0.43 (step @p83 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 0.21/0.43 (step @p84 :rule trans :premises (@p83 @p82)) % 0.21/0.43 (step @p85 :rule trans :premises (@p84 @p79)) % 0.21/0.43 (step @p86 :rule nary_cong :premises (@p85 @p78) :args ((or (not @t16) @t19))) % 0.21/0.43 (step @p87 :rule trans :premises (@p86 @p77)) % 0.21/0.43 (step @p88 :rule bool-impl-elim :args (@t16 @t19)) % 0.21/0.43 (step @p89 :rule trans :premises (@p88 @p87)) % 0.21/0.43 (step @p90 :rule cong :premises (@p89) :args (@t20)) % 0.21/0.43 (step @p91 :rule eq_resolve :premises (@p10 @p90)) % 0.21/0.43 (step @p92 :rule instantiate :premises (@p91) :args ((@list tptp.xl @t68 @t77))) % 0.21/0.43 (step @p93 :rule bool-double-not-elim :args (@t81)) % 0.21/0.43 (step @p94 :rule nary_cong :premises (@p71 @p93) :args ((or @t83 (not @t82)))) % 0.21/0.43 (step @p95 :rule cnf_or_neg :args (@t83 0)) % 0.21/0.43 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.21/0.43 (step @p97 :rule reordering :premises (@p96) :args ((or @t81 @t83))) % 0.21/0.43 (step @p98 :rule chain_m_resolution :premises (@p97 @p69) :args (@t81 @t75 @t84)) % 0.21/0.43 (step @p99 :rule bool-double-not-elim :args (@t72)) % 0.21/0.43 (step @p100 :rule nary_cong :premises (@p62 @p99) :args ((or @t74 (not @t73)))) % 0.21/0.43 (step @p101 :rule cnf_or_neg :args (@t74 0)) % 0.21/0.43 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.21/0.43 (step @p103 :rule reordering :premises (@p102) :args ((or @t72 @t74))) % 0.21/0.43 (step @p104 :rule chain_m_resolution :premises (@p103 @p60) :args (@t72 @t75 @t76)) % 0.21/0.43 (step @p105 :rule and_elim :premises (@p32) :args (0)) % 0.21/0.43 (step @p106 :rule cnf_or_pos :args (@t92)) % 0.21/0.43 (step @p107 :rule reordering :premises (@p106) :args ((or @t91 @t73 @t82 @t90 (not @t92)))) % 0.21/0.43 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p104 @p98 @p92) :args (@t90 @t93 @t94)) % 0.21/0.43 (step @p109 :rule not_implies_elim2 :premises (@p57)) % 0.21/0.43 (step @p110 :rule not_or_elim :premises (@p109) :args (0)) % 0.21/0.43 (step @p111 :rule not_not_elim :premises (@p110)) % 0.21/0.43 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t88))) % 0.21/0.43 (step @p113 :rule aci_norm :args ((= (or (or @t67 @t86) @t10) (or @t67 @t86 @t10)))) % 0.21/0.43 (step @p114 :rule refl :args (@t10)) % 0.21/0.43 (step @p115 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.21/0.43 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t7) @t10))) % 0.21/0.43 (step @p117 :rule trans :premises (@p116 @p113)) % 0.21/0.44 (step @p118 :rule bool-impl-elim :args (@t7 @t10)) % 0.21/0.44 (step @p119 :rule trans :premises (@p118 @p117)) % 0.21/0.44 (step @p120 :rule cong :premises (@p119) :args (@t11)) % 0.21/0.44 (step @p121 :rule eq_resolve :premises (@p5 @p120)) % 0.21/0.44 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t68 @t77))) % 0.21/0.44 (step @p123 :rule cnf_or_pos :args (@t96)) % 0.21/0.44 (step @p124 :rule reordering :premises (@p123) :args ((or @t73 @t82 @t95 (not @t96)))) % 0.21/0.44 (step @p125 :rule chain_m_resolution :premises (@p124 @p104 @p98 @p122) :args (@t95 (@list false false false) (@list @t72 @t81 @t96))) % 0.21/0.44 (step @p126 :rule cnf_or_pos :args (@t100)) % 0.21/0.44 (step @p127 :rule reordering :premises (@p126) :args ((or @t99 @t98 (not @t100)))) % 0.21/0.44 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p112) :args (@t98 (@list false false) (@list @t95 @t100))) % 0.21/0.44 (step @p129 :rule bool-double-not-elim :args (@t97)) % 0.21/0.44 (step @p130 :rule refl :args (@t101)) % 0.21/0.44 (step @p131 :rule refl :args (@t80)) % 0.21/0.44 (step @p132 :rule refl :args (@t71)) % 0.21/0.44 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129) :args ((or @t71 @t80 @t101 (not @t98)))) % 0.21/0.44 (assume-push @p166 @t97) % 0.21/0.44 (assume-push @p167 @t98) % 0.21/0.44 (step @p136 :rule evaluate :args ((= true false))) % 0.21/0.44 (step @p137 :rule false_intro :premises (@p128)) % 0.21/0.44 (step @p138 :rule chain_m_resolution :premises (@p107 @p105 @p104 @p98 @p92) :args (@t90 @t93 @t94)) % 0.21/0.44 (step @p139 :rule refl :args (@t77)) % 0.21/0.44 (step @p140 :rule cong :premises (@p67 @p139) :args (@t78)) % 0.21/0.44 (step @p141 :rule chain_m_resolution :premises (@p75 @p69) :args (@t79 @t75 @t84)) % 0.21/0.44 (step @p142 :rule trans :premises (@p141 @p140 @p138)) % 0.21/0.44 (step @p143 :rule true_intro :premises (@p142)) % 0.21/0.44 (step @p144 :rule symm :premises (@p143)) % 0.21/0.44 (step @p145 :rule trans :premises (@p144 @p137)) % 0.21/0.44 (step @p146 false :rule eq_resolve :premises (@p145 @p136)) % 0.21/0.44 (step-pop @p168 :rule scope :premises (@p146)) % 0.21/0.44 (step-pop @p169 :rule scope :premises (@p168)) % 0.21/0.44 (step @p147 :rule process_scope :premises (@p169) :args (false)) % 0.21/0.44 (assume-push @p170 @t70) % 0.21/0.44 (assume-push @p171 @t79) % 0.21/0.44 (assume-push @p172 @t90) % 0.21/0.44 (assume-push @p173 @t98) % 0.21/0.44 (step @p139 :rule refl :args (@t77)) % 0.21/0.44 (step @p140 :rule cong :premises (@p67 @p139) :args (@t78)) % 0.21/0.44 (step @p154 :rule trans :premises (@p76 @p140 @p108)) % 0.21/0.44 (step @p155 :rule and_intro :premises (@p154 @p128)) % 0.21/0.44 (step-pop @p174 :rule scope :premises (@p155)) % 0.21/0.44 (step-pop @p175 :rule scope :premises (@p174)) % 0.21/0.44 (step-pop @p176 :rule scope :premises (@p175)) % 0.21/0.44 (step-pop @p177 :rule scope :premises (@p176)) % 0.21/0.44 (step @p156 :rule process_scope :premises (@p177) :args (@t102)) % 0.21/0.44 (step @p161 :rule implies_elim :premises (@p156)) % 0.21/0.44 (step @p162 :rule resolution :premises (@p161 @p147) :args (true @t102)) % 0.21/0.44 (step @p163 :rule not_and :premises (@p162)) % 0.21/0.44 (step @p164 :rule eq_resolve :premises (@p163 @p133)) % 0.21/0.44 (step @p165 false :rule chain_m_resolution :premises (@p164 @p128 @p108 @p76 @p67) :args (false (@list true false false false) (@list @t97 @t90 @t79 @t70))) % 0.21/0.44 ) % 0.21/0.44 % SZS output end Proof % 0.21/0.44 % cvc5 exiting %------------------------------------------------------------------------------