%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM460+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 : n003.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 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM460+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 11:21:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.xn $$unsorted) % 0.46/0.63 (declare-const tptp.xl $$unsorted) % 0.46/0.63 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.xm $$unsorted) % 0.46/0.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.sz10 $$unsorted) % 0.46/0.63 (declare-const tptp.sz00 $$unsorted) % 0.46/0.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.46/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.46/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.46/0.63 (define @t3 () (@list @t1)) % 0.46/0.63 (define @t4 () (@var "W1" $$unsorted)) % 0.46/0.63 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.46/0.63 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 0.46/0.63 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 0.46/0.63 (define @t8 () (and @t2 @t7)) % 0.46/0.63 (define @t9 () (@list @t1 @t4)) % 0.46/0.63 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.46/0.63 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 0.46/0.63 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.46/0.63 (define @t13 () (@var "W2" $$unsorted)) % 0.46/0.63 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.46/0.63 (define @t15 () (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))) % 0.46/0.63 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 0.46/0.63 (define @t17 () (and @t2 @t7 @t16)) % 0.46/0.63 (define @t18 () (@list @t1 @t4 @t13)) % 0.46/0.63 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.46/0.63 (define @t20 () (tptp.sdtasdt0 @t4 @t1)) % 0.46/0.63 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 0.46/0.63 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 0.46/0.63 (define @t23 () (= @t4 @t13)) % 0.46/0.63 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 0.46/0.63 (define @t25 () (and @t7 @t16)) % 0.46/0.63 (define @t26 () (= @t1 tptp.sz00)) % 0.46/0.63 (define @t27 () (= @t4 tptp.sz00)) % 0.46/0.63 (define @t28 () (and @t16 (= @t24 @t4))) % 0.46/0.63 (define @t29 () (@list @t13)) % 0.46/0.63 (define @t30 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.46/0.63 (define @t31 () (tptp.aNaturalNumber0 tptp.xm)) % 0.46/0.63 (define @t32 () (tptp.sdtlseqdt0 tptp.xm tptp.xl)) % 0.46/0.63 (define @t33 () (tptp.sdtpldt0 tptp.xm @t1)) % 0.46/0.63 (define @t34 () (and @t2 (= @t33 tptp.xl))) % 0.46/0.63 (define @t35 () (exists @t3 @t34)) % 0.46/0.63 (define @t36 () (or @t35 @t32)) % 0.46/0.63 (define @t37 () (tptp.sdtlseqdt0 tptp.xn tptp.xl)) % 0.46/0.63 (define @t38 () (tptp.sdtpldt0 tptp.xn @t1)) % 0.46/0.63 (define @t39 () (and @t2 (= @t38 tptp.xl))) % 0.46/0.63 (define @t40 () (exists @t3 @t39)) % 0.46/0.63 (define @t41 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 0.46/0.63 (define @t42 () (and @t2 (= @t33 tptp.xn))) % 0.46/0.63 (define @t43 () (exists @t3 @t42)) % 0.46/0.63 (define @t44 () (and @t43 @t41 @t40 @t37)) % 0.46/0.63 (define @t45 () (=> @t44 @t36)) % 0.46/0.63 (define @t46 () (not @t45)) % 0.46/0.63 (define @t47 () (= tptp.xl @t33)) % 0.46/0.63 (define @t48 () (and @t2 @t47)) % 0.46/0.63 (define @t49 () (forall @t3 (not @t48))) % 0.46/0.63 (define @t50 () (not @t49)) % 0.46/0.63 (define @t51 () (= tptp.xl @t38)) % 0.46/0.63 (define @t52 () (and @t2 @t51)) % 0.46/0.63 (define @t53 () (forall @t3 (not @t52))) % 0.46/0.63 (define @t54 () (not @t53)) % 0.46/0.63 (define @t55 () (= tptp.xn @t33)) % 0.46/0.63 (define @t56 () (and @t2 @t55)) % 0.46/0.63 (define @t57 () (forall @t3 (not @t56))) % 0.46/0.63 (define @t58 () (not @t57)) % 0.46/0.63 (define @t59 () (not @t2)) % 0.46/0.63 (define @t60 () (@quantifiers_skolemize (forall @t3 (or @t59 (not @t55))) 0)) % 0.46/0.63 (define @t61 () (tptp.sdtpldt0 tptp.xm @t60)) % 0.46/0.63 (define @t62 () (= tptp.xn @t61)) % 0.46/0.63 (define @t63 () (not @t62)) % 0.46/0.63 (define @t64 () (tptp.aNaturalNumber0 @t60)) % 0.46/0.63 (define @t65 () (not @t64)) % 0.46/0.63 (define @t66 () (or @t65 @t63)) % 0.46/0.63 (define @t67 () (@list true)) % 0.46/0.63 (define @t68 () (@list @t66)) % 0.46/0.63 (define @t69 () (@quantifiers_skolemize (forall @t3 (or @t59 (not @t51))) 0)) % 0.46/0.63 (define @t70 () (tptp.sdtpldt0 tptp.xn @t69)) % 0.46/0.63 (define @t71 () (= tptp.xl @t70)) % 0.46/0.63 (define @t72 () (not @t71)) % 0.46/0.63 (define @t73 () (tptp.aNaturalNumber0 @t69)) % 0.46/0.63 (define @t74 () (not @t73)) % 0.46/0.63 (define @t75 () (or @t74 @t72)) % 0.46/0.63 (define @t76 () (@list @t75)) % 0.46/0.63 (define @t77 () (not @t16)) % 0.46/0.63 (define @t78 () (not @t7)) % 0.46/0.63 (define @t79 () (or @t59 @t78 @t77)) % 0.46/0.63 (define @t80 () (tptp.sdtpldt0 @t60 @t69)) % 0.46/0.63 (define @t81 () (tptp.sdtpldt0 tptp.xm @t80)) % 0.46/0.63 (define @t82 () (= (tptp.sdtpldt0 @t61 @t69) @t81)) % 0.46/0.63 (define @t83 () (not @t31)) % 0.46/0.63 (define @t84 () (or @t83 @t65 @t74 @t82)) % 0.46/0.63 (define @t85 () (@list false false false false)) % 0.46/0.63 (define @t86 () (@list @t31 @t64 @t73 @t84)) % 0.46/0.63 (define @t87 () (tptp.aNaturalNumber0 @t80)) % 0.46/0.63 (define @t88 () (or @t65 @t74 @t87)) % 0.46/0.63 (define @t89 () (= tptp.xl @t81)) % 0.46/0.63 (define @t90 () (not @t89)) % 0.46/0.63 (define @t91 () (not @t87)) % 0.46/0.63 (define @t92 () (or @t91 @t90)) % 0.46/0.63 (define @t93 () (not @t82)) % 0.46/0.63 (define @t94 () (and @t89 @t90)) % 0.46/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.46/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.46/0.63 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.46/0.63 (assume @p4 @t10) % 0.46/0.63 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 0.46/0.63 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 0.46/0.63 (assume @p7 @t19) % 0.46/0.63 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.46/0.63 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t20)))) % 0.46/0.63 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 0.46/0.63 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.46/0.63 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.46/0.63 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t20 @t21)))))) % 0.46/0.63 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t24) (= @t12 (tptp.sdtpldt0 @t13 @t1))) @t23)))) % 0.46/0.63 (assume @p15 (forall @t3 (=> @t2 (=> (not @t26) (forall (@list @t4 @t13) (=> @t25 (=> (or (= @t11 @t22) (= @t20 @t21)) @t23))))))) % 0.46/0.63 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t26 @t27))))) % 0.46/0.63 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t26 @t27))))) % 0.46/0.63 (assume @p18 (forall @t9 (=> @t8 (= @t30 (exists @t29 @t28))))) % 0.46/0.63 (assume @p19 (forall @t9 (=> @t8 (=> @t30 (forall @t29 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t28)))))) % 0.46/0.63 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.46/0.63 (assume @p21 (forall @t9 (=> @t8 (=> (and @t30 (tptp.sdtlseqdt0 @t4 @t1)) (= @t1 @t4))))) % 0.46/0.63 (assume @p22 (and @t31 (tptp.aNaturalNumber0 tptp.xn) (tptp.aNaturalNumber0 tptp.xl))) % 0.46/0.63 (assume @p23 @t46) % 0.46/0.63 (assume @p24 true) % 0.46/0.63 (step @p25 :rule refl :args (@t32)) % 0.46/0.63 (step @p26 :rule bool-and-de-morgan :args (@t2 @t47 true)) % 0.46/0.63 (step @p27 :rule cong :premises (@p26) :args (@t49)) % 0.46/0.63 (step @p28 :rule cong :premises (@p27) :args (@t50)) % 0.46/0.63 (step @p29 :rule exists-elim :args ((= (exists @t3 @t48) @t50))) % 0.46/0.63 (step @p30 :rule trans :premises (@p29 @p28)) % 0.46/0.63 (step @p31 :rule eq-symm :args (@t33 tptp.xl)) % 0.46/0.63 (step @p32 :rule refl :args (@t2)) % 0.46/0.63 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t34)) % 0.46/0.63 (step @p34 :rule cong :premises (@p33) :args (@t35)) % 0.46/0.63 (step @p35 :rule trans :premises (@p34 @p30)) % 0.46/0.63 (step @p36 :rule nary_cong :premises (@p35 @p25) :args (@t36)) % 0.46/0.63 (step @p37 :rule refl :args (@t37)) % 0.46/0.63 (step @p38 :rule bool-and-de-morgan :args (@t2 @t51 true)) % 0.46/0.63 (step @p39 :rule cong :premises (@p38) :args (@t53)) % 0.46/0.63 (step @p40 :rule cong :premises (@p39) :args (@t54)) % 0.46/0.63 (step @p41 :rule exists-elim :args ((= (exists @t3 @t52) @t54))) % 0.46/0.63 (step @p42 :rule trans :premises (@p41 @p40)) % 0.46/0.63 (step @p43 :rule eq-symm :args (@t38 tptp.xl)) % 0.46/0.63 (step @p44 :rule nary_cong :premises (@p32 @p43) :args (@t39)) % 0.46/0.63 (step @p45 :rule cong :premises (@p44) :args (@t40)) % 0.46/0.63 (step @p46 :rule trans :premises (@p45 @p42)) % 0.46/0.63 (step @p47 :rule refl :args (@t41)) % 0.46/0.63 (step @p48 :rule bool-and-de-morgan :args (@t2 @t55 true)) % 0.46/0.63 (step @p49 :rule cong :premises (@p48) :args (@t57)) % 0.46/0.63 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 0.46/0.63 (step @p51 :rule exists-elim :args ((= (exists @t3 @t56) @t58))) % 0.46/0.63 (step @p52 :rule trans :premises (@p51 @p50)) % 0.46/0.63 (step @p53 :rule eq-symm :args (@t33 tptp.xn)) % 0.46/0.63 (step @p54 :rule nary_cong :premises (@p32 @p53) :args (@t42)) % 0.46/0.63 (step @p55 :rule cong :premises (@p54) :args (@t43)) % 0.46/0.63 (step @p56 :rule trans :premises (@p55 @p52)) % 0.46/0.63 (step @p57 :rule nary_cong :premises (@p56 @p47 @p46 @p37) :args (@t44)) % 0.46/0.63 (step @p58 :rule cong :premises (@p57 @p36) :args (@t45)) % 0.46/0.63 (step @p59 :rule cong :premises (@p58) :args (@t46)) % 0.46/0.63 (step @p60 :rule eq_resolve :premises (@p23 @p59)) % 0.46/0.63 (step @p61 :rule not_implies_elim1 :premises (@p60)) % 0.46/0.63 (step @p62 :rule and_elim :premises (@p61) :args (0)) % 0.46/0.63 (step @p63 :rule skolemize :premises (@p62)) % 0.46/0.63 (step @p64 :rule bool-double-not-elim :args (@t62)) % 0.46/0.63 (step @p65 :rule refl :args (@t66)) % 0.46/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t66 (not @t63)))) % 0.46/0.63 (step @p67 :rule cnf_or_neg :args (@t66 1)) % 0.46/0.63 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.46/0.63 (step @p69 :rule reordering :premises (@p68) :args ((or @t62 @t66))) % 0.46/0.63 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t62 @t67 @t68)) % 0.46/0.63 (step @p71 :rule and_elim :premises (@p61) :args (2)) % 0.46/0.63 (step @p72 :rule skolemize :premises (@p71)) % 0.46/0.63 (step @p73 :rule bool-double-not-elim :args (@t71)) % 0.46/0.63 (step @p74 :rule refl :args (@t75)) % 0.46/0.63 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t75 (not @t72)))) % 0.46/0.63 (step @p76 :rule cnf_or_neg :args (@t75 1)) % 0.46/0.63 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.46/0.63 (step @p78 :rule reordering :premises (@p77) :args ((or @t71 @t75))) % 0.46/0.63 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t71 @t67 @t76)) % 0.46/0.63 (step @p80 :rule aci_norm :args ((= (or @t79 @t15) (or @t59 @t78 @t77 @t15)))) % 0.46/0.63 (step @p81 :rule refl :args (@t15)) % 0.46/0.63 (step @p82 :rule aci_norm :args ((= (or @t59 (or @t78 @t77)) @t79))) % 0.46/0.63 (step @p83 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 0.46/0.63 (step @p84 :rule refl :args (@t59)) % 0.46/0.63 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t59 (not @t25)))) % 0.46/0.63 (step @p86 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 0.46/0.63 (step @p87 :rule trans :premises (@p86 @p85)) % 0.46/0.63 (step @p88 :rule trans :premises (@p87 @p82)) % 0.46/0.63 (step @p89 :rule nary_cong :premises (@p88 @p81) :args ((or (not @t17) @t15))) % 0.46/0.63 (step @p90 :rule trans :premises (@p89 @p80)) % 0.46/0.63 (step @p91 :rule bool-impl-elim :args (@t17 @t15)) % 0.46/0.63 (step @p92 :rule trans :premises (@p91 @p90)) % 0.46/0.63 (step @p93 :rule cong :premises (@p92) :args (@t19)) % 0.46/0.63 (step @p94 :rule eq_resolve :premises (@p7 @p93)) % 0.46/0.63 (step @p95 :rule instantiate :premises (@p94) :args ((@list tptp.xm @t60 @t69))) % 0.46/0.63 (step @p96 :rule bool-double-not-elim :args (@t73)) % 0.46/0.63 (step @p97 :rule nary_cong :premises (@p74 @p96) :args ((or @t75 (not @t74)))) % 0.46/0.63 (step @p98 :rule cnf_or_neg :args (@t75 0)) % 0.46/0.63 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.46/0.63 (step @p100 :rule reordering :premises (@p99) :args ((or @t73 @t75))) % 0.46/0.63 (step @p101 :rule chain_m_resolution :premises (@p100 @p72) :args (@t73 @t67 @t76)) % 0.46/0.63 (step @p102 :rule bool-double-not-elim :args (@t64)) % 0.46/0.63 (step @p103 :rule nary_cong :premises (@p65 @p102) :args ((or @t66 (not @t65)))) % 0.46/0.63 (step @p104 :rule cnf_or_neg :args (@t66 0)) % 0.46/0.63 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.46/0.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t64 @t66))) % 0.46/0.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p63) :args (@t64 @t67 @t68)) % 0.46/0.63 (step @p108 :rule and_elim :premises (@p22) :args (0)) % 0.46/0.63 (step @p109 :rule cnf_or_pos :args (@t84)) % 0.46/0.63 (step @p110 :rule reordering :premises (@p109) :args ((or @t83 @t65 @t74 @t82 (not @t84)))) % 0.46/0.63 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p107 @p101 @p95) :args (@t82 @t85 @t86)) % 0.46/0.63 (step @p112 :rule not_implies_elim2 :premises (@p60)) % 0.46/0.63 (step @p113 :rule not_or_elim :premises (@p112) :args (0)) % 0.46/0.63 (step @p114 :rule not_not_elim :premises (@p113)) % 0.46/0.63 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t80))) % 0.46/0.63 (step @p116 :rule aci_norm :args ((= (or (or @t59 @t78) @t6) (or @t59 @t78 @t6)))) % 0.46/0.63 (step @p117 :rule refl :args (@t6)) % 0.46/0.63 (step @p118 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.46/0.63 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t8) @t6))) % 0.46/0.63 (step @p120 :rule trans :premises (@p119 @p116)) % 0.46/0.63 (step @p121 :rule bool-impl-elim :args (@t8 @t6)) % 0.46/0.63 (step @p122 :rule trans :premises (@p121 @p120)) % 0.46/0.63 (step @p123 :rule cong :premises (@p122) :args (@t10)) % 0.46/0.63 (step @p124 :rule eq_resolve :premises (@p4 @p123)) % 0.46/0.63 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t60 @t69))) % 0.46/0.63 (step @p126 :rule cnf_or_pos :args (@t88)) % 0.46/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t65 @t74 @t87 (not @t88)))) % 0.46/0.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p107 @p101 @p125) :args (@t87 (@list false false false) (@list @t64 @t73 @t88))) % 0.46/0.63 (step @p129 :rule cnf_or_pos :args (@t92)) % 0.46/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t91 @t90 (not @t92)))) % 0.46/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p115) :args (@t90 (@list false false) (@list @t87 @t92))) % 0.46/0.63 (step @p132 :rule bool-double-not-elim :args (@t89)) % 0.46/0.63 (step @p133 :rule refl :args (@t93)) % 0.46/0.63 (step @p134 :rule refl :args (@t72)) % 0.46/0.63 (step @p135 :rule refl :args (@t63)) % 0.46/0.63 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132) :args ((or @t63 @t72 @t93 (not @t90)))) % 0.46/0.63 (assume-push @p169 @t89) % 0.46/0.63 (assume-push @p170 @t90) % 0.46/0.63 (step @p139 :rule evaluate :args ((= true false))) % 0.46/0.63 (step @p140 :rule false_intro :premises (@p131)) % 0.46/0.63 (step @p141 :rule chain_m_resolution :premises (@p110 @p108 @p107 @p101 @p95) :args (@t82 @t85 @t86)) % 0.46/0.63 (step @p142 :rule refl :args (@t69)) % 0.46/0.63 (step @p143 :rule cong :premises (@p70 @p142) :args (@t70)) % 0.46/0.63 (step @p144 :rule chain_m_resolution :premises (@p78 @p72) :args (@t71 @t67 @t76)) % 0.46/0.63 (step @p145 :rule trans :premises (@p144 @p143 @p141)) % 0.46/0.63 (step @p146 :rule true_intro :premises (@p145)) % 0.46/0.63 (step @p147 :rule symm :premises (@p146)) % 0.46/0.63 (step @p148 :rule trans :premises (@p147 @p140)) % 0.46/0.63 (step @p149 false :rule eq_resolve :premises (@p148 @p139)) % 0.46/0.63 (step-pop @p171 :rule scope :premises (@p149)) % 0.46/0.63 (step-pop @p172 :rule scope :premises (@p171)) % 0.46/0.63 (step @p150 :rule process_scope :premises (@p172) :args (false)) % 0.46/0.63 (assume-push @p173 @t62) % 0.46/0.63 (assume-push @p174 @t71) % 0.46/0.63 (assume-push @p175 @t82) % 0.46/0.63 (assume-push @p176 @t90) % 0.46/0.63 (step @p142 :rule refl :args (@t69)) % 0.46/0.63 (step @p143 :rule cong :premises (@p70 @p142) :args (@t70)) % 0.46/0.63 (step @p157 :rule trans :premises (@p79 @p143 @p111)) % 0.46/0.63 (step @p158 :rule and_intro :premises (@p157 @p131)) % 0.46/0.63 (step-pop @p177 :rule scope :premises (@p158)) % 0.46/0.63 (step-pop @p178 :rule scope :premises (@p177)) % 0.46/0.63 (step-pop @p179 :rule scope :premises (@p178)) % 0.46/0.63 (step-pop @p180 :rule scope :premises (@p179)) % 0.46/0.63 (step @p159 :rule process_scope :premises (@p180) :args (@t94)) % 0.46/0.63 (step @p164 :rule implies_elim :premises (@p159)) % 0.46/0.63 (step @p165 :rule resolution :premises (@p164 @p150) :args (true @t94)) % 0.46/0.63 (step @p166 :rule not_and :premises (@p165)) % 0.46/0.63 (step @p167 :rule eq_resolve :premises (@p166 @p136)) % 0.46/0.63 (step @p168 false :rule chain_m_resolution :premises (@p167 @p131 @p111 @p79 @p70) :args (false (@list true false false false) (@list @t89 @t82 @t71 @t62))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------