%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM467+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 : n011.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 08:39:31 AM UTC 2026 % Result : Theorem 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM467+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.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 11:22:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.75 % SZS status Theorem % 0.52/0.75 % SZS output start Proof % 0.52/0.75 ( % 0.52/0.75 (declare-sort $$unsorted 0) % 0.52/0.75 (declare-const tptp.xl $$unsorted) % 0.52/0.75 (declare-const tptp.xm $$unsorted) % 0.52/0.75 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.sz10 $$unsorted) % 0.52/0.75 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.sz00 $$unsorted) % 0.52/0.75 (declare-const tptp.xn $$unsorted) % 0.52/0.75 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.52/0.75 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.75 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.52/0.75 (define @t3 () (@list @t1)) % 0.52/0.75 (define @t4 () (@var "W1" $$unsorted)) % 0.52/0.75 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.52/0.75 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 0.52/0.75 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 0.52/0.75 (define @t8 () (and @t2 @t7)) % 0.52/0.75 (define @t9 () (@list @t1 @t4)) % 0.52/0.75 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.52/0.75 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 0.52/0.75 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.52/0.75 (define @t13 () (@var "W2" $$unsorted)) % 0.52/0.75 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.52/0.75 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 0.52/0.75 (define @t16 () (and @t2 @t7 @t15)) % 0.52/0.75 (define @t17 () (@list @t1 @t4 @t13)) % 0.52/0.75 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 0.52/0.75 (define @t19 () (tptp.sdtasdt0 @t13 @t1)) % 0.52/0.75 (define @t20 () (tptp.sdtasdt0 @t1 @t13)) % 0.52/0.75 (define @t21 () (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t20)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t19)))) % 0.52/0.75 (define @t22 () (forall @t17 (=> @t16 @t21))) % 0.52/0.75 (define @t23 () (= @t4 @t13)) % 0.52/0.75 (define @t24 () (tptp.sdtpldt0 @t13 @t1)) % 0.52/0.75 (define @t25 () (tptp.sdtpldt0 @t1 @t13)) % 0.52/0.75 (define @t26 () (= @t18 @t19)) % 0.52/0.75 (define @t27 () (= @t11 @t20)) % 0.52/0.75 (define @t28 () (and @t7 @t15)) % 0.52/0.75 (define @t29 () (= @t1 tptp.sz00)) % 0.52/0.75 (define @t30 () (not @t29)) % 0.52/0.75 (define @t31 () (= @t4 tptp.sz00)) % 0.52/0.75 (define @t32 () (and @t15 (= @t25 @t4))) % 0.52/0.75 (define @t33 () (@list @t13)) % 0.52/0.75 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.52/0.75 (define @t35 () (= @t1 @t4)) % 0.52/0.75 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.52/0.75 (define @t37 () (tptp.sdtlseqdt0 @t4 @t13)) % 0.52/0.75 (define @t38 () (tptp.sdtpldt0 @t13 @t4)) % 0.52/0.75 (define @t39 () (and (not @t35) @t34)) % 0.52/0.75 (define @t40 () (tptp.iLess0 @t1 @t4)) % 0.52/0.75 (define @t41 () (and @t15 (= @t4 @t20))) % 0.52/0.75 (define @t42 () (tptp.doDivides0 @t1 @t4)) % 0.52/0.75 (define @t43 () (tptp.aNaturalNumber0 tptp.xl)) % 0.52/0.75 (define @t44 () (tptp.sdtasdt0 tptp.xl @t1)) % 0.52/0.75 (define @t45 () (= tptp.xn @t44)) % 0.52/0.75 (define @t46 () (and @t2 @t45)) % 0.52/0.75 (define @t47 () (exists @t3 @t46)) % 0.52/0.75 (define @t48 () (= tptp.xm @t44)) % 0.52/0.75 (define @t49 () (and @t2 @t48)) % 0.52/0.75 (define @t50 () (exists @t3 @t49)) % 0.52/0.75 (define @t51 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.52/0.75 (define @t52 () (tptp.doDivides0 tptp.xl @t51)) % 0.52/0.75 (define @t53 () (and @t2 (= @t51 @t44))) % 0.52/0.75 (define @t54 () (exists @t3 @t53)) % 0.52/0.75 (define @t55 () (or @t54 @t52)) % 0.52/0.75 (define @t56 () (not @t55)) % 0.52/0.75 (define @t57 () (not @t7)) % 0.52/0.75 (define @t58 () (not @t2)) % 0.52/0.75 (define @t59 () (or @t58 @t57 @t6)) % 0.52/0.75 (define @t60 () (= @t44 @t51)) % 0.52/0.75 (define @t61 () (and @t2 @t60)) % 0.52/0.75 (define @t62 () (forall @t3 (not @t61))) % 0.52/0.75 (define @t63 () (not @t62)) % 0.52/0.75 (define @t64 () (@quantifiers_skolemize (forall @t3 (or @t58 (not @t45))) 0)) % 0.52/0.75 (define @t65 () (@quantifiers_skolemize (forall @t3 (or @t58 (not @t48))) 0)) % 0.52/0.75 (define @t66 () (tptp.sdtpldt0 @t65 @t64)) % 0.52/0.75 (define @t67 () (tptp.sdtasdt0 tptp.xl @t66)) % 0.52/0.75 (define @t68 () (not (= @t67 @t51))) % 0.52/0.75 (define @t69 () (tptp.aNaturalNumber0 @t66)) % 0.52/0.75 (define @t70 () (not @t69)) % 0.52/0.75 (define @t71 () (or @t70 @t68)) % 0.52/0.75 (define @t72 () (forall @t3 (or @t58 (not @t60)))) % 0.52/0.75 (define @t73 () (= @t51 @t67)) % 0.52/0.75 (define @t74 () (not @t73)) % 0.52/0.75 (define @t75 () (or @t70 @t74)) % 0.52/0.75 (define @t76 () (@list false)) % 0.52/0.75 (define @t77 () (not @t15)) % 0.52/0.75 (define @t78 () (or @t58 @t57 @t77)) % 0.52/0.75 (define @t79 () (forall @t3 (not @t46))) % 0.52/0.75 (define @t80 () (not @t79)) % 0.52/0.75 (define @t81 () (tptp.aNaturalNumber0 @t64)) % 0.52/0.75 (define @t82 () (tptp.sdtasdt0 tptp.xl @t64)) % 0.52/0.75 (define @t83 () (= tptp.xn @t82)) % 0.52/0.75 (define @t84 () (not @t83)) % 0.52/0.75 (define @t85 () (not @t81)) % 0.52/0.75 (define @t86 () (or @t85 @t84)) % 0.52/0.75 (define @t87 () (@list true)) % 0.52/0.75 (define @t88 () (@list @t86)) % 0.52/0.75 (define @t89 () (forall @t3 (not @t49))) % 0.52/0.75 (define @t90 () (not @t89)) % 0.52/0.75 (define @t91 () (tptp.aNaturalNumber0 @t65)) % 0.52/0.75 (define @t92 () (tptp.sdtasdt0 tptp.xl @t65)) % 0.52/0.75 (define @t93 () (= tptp.xm @t92)) % 0.52/0.75 (define @t94 () (not @t93)) % 0.52/0.75 (define @t95 () (not @t91)) % 0.52/0.75 (define @t96 () (or @t95 @t94)) % 0.52/0.75 (define @t97 () (@list @t96)) % 0.52/0.75 (define @t98 () (= @t67 (tptp.sdtpldt0 @t92 @t82))) % 0.52/0.75 (define @t99 () (and @t98 (= (tptp.sdtasdt0 @t66 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 @t65 tptp.xl) (tptp.sdtasdt0 @t64 tptp.xl))))) % 0.52/0.75 (define @t100 () (not @t43)) % 0.52/0.75 (define @t101 () (or @t100 @t95 @t85 @t99)) % 0.52/0.75 (define @t102 () (or @t95 @t85 @t69)) % 0.52/0.75 (define @t103 () (not @t102)) % 0.52/0.75 (define @t104 () (forall @t9 @t59)) % 0.52/0.75 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.75 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.52/0.75 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.52/0.75 (assume @p4 @t10) % 0.52/0.75 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 0.52/0.75 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 0.52/0.75 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 0.52/0.75 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.52/0.75 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t18)))) % 0.52/0.75 (assume @p10 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 0.52/0.75 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.52/0.75 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.52/0.75 (assume @p13 @t22) % 0.52/0.75 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t25) (= @t12 @t24)) @t23)))) % 0.52/0.75 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t13) (=> @t28 (=> (or @t27 @t26) @t23))))))) % 0.52/0.75 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 0.52/0.75 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t29 @t31))))) % 0.52/0.75 (assume @p18 (forall @t9 (=> @t8 (= @t34 (exists @t33 @t32))))) % 0.52/0.75 (assume @p19 (forall @t9 (=> @t8 (=> @t34 (forall @t33 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 0.52/0.75 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.52/0.75 (assume @p21 (forall @t9 (=> @t8 (=> (and @t34 @t36) @t35)))) % 0.52/0.75 (assume @p22 (forall @t17 (=> @t16 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.52/0.75 (assume @p23 (forall @t9 (=> @t8 (or @t34 (and (not (= @t4 @t1)) @t36))))) % 0.52/0.75 (assume @p24 (forall @t9 (=> @t8 (=> @t39 (forall @t33 (=> @t15 (and (not (= @t24 @t38)) (tptp.sdtlseqdt0 @t24 @t38) (not (= @t25 @t14)) (tptp.sdtlseqdt0 @t25 @t14)))))))) % 0.52/0.75 (assume @p25 (forall @t17 (=> @t16 (=> (and @t30 (not @t23) @t37) (and (not @t27) (tptp.sdtlseqdt0 @t11 @t20) (not @t26) (tptp.sdtlseqdt0 @t18 @t19)))))) % 0.52/0.75 (assume @p26 (forall @t3 (=> @t2 (or @t29 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.52/0.75 (assume @p27 (forall @t9 (=> @t8 (=> @t30 (tptp.sdtlseqdt0 @t4 @t18))))) % 0.52/0.75 (assume @p28 (forall @t9 (=> @t8 (=> @t40 true)))) % 0.52/0.75 (assume @p29 (forall @t9 (=> @t8 (=> @t39 @t40)))) % 0.52/0.75 (assume @p30 (forall @t9 (=> @t8 (= @t42 (exists @t33 @t41))))) % 0.52/0.75 (assume @p31 (forall @t9 (=> @t8 (=> (and @t30 @t42) (forall @t33 (= (= @t13 (tptp.sdtsldt0 @t4 @t1)) @t41)))))) % 0.52/0.75 (assume @p32 (forall @t17 (=> @t16 (=> (and @t42 (tptp.doDivides0 @t4 @t13)) (tptp.doDivides0 @t1 @t13))))) % 0.52/0.75 (assume @p33 (and @t43 (tptp.aNaturalNumber0 tptp.xm) (tptp.aNaturalNumber0 tptp.xn))) % 0.52/0.75 (assume @p34 (and @t50 (tptp.doDivides0 tptp.xl tptp.xm) @t47 (tptp.doDivides0 tptp.xl tptp.xn))) % 0.52/0.75 (assume @p35 @t56) % 0.52/0.75 (assume @p36 true) % 0.52/0.75 (step @p37 :rule aci_norm :args ((= (or (or @t58 @t57) @t6) @t59))) % 0.52/0.75 (step @p38 :rule refl :args (@t6)) % 0.52/0.75 (step @p39 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.52/0.75 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t8) @t6))) % 0.52/0.75 (step @p41 :rule trans :premises (@p40 @p37)) % 0.52/0.75 (step @p42 :rule bool-impl-elim :args (@t8 @t6)) % 0.52/0.75 (step @p43 :rule trans :premises (@p42 @p41)) % 0.52/0.76 (step @p44 :rule cong :premises (@p43) :args (@t10)) % 0.52/0.76 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 0.52/0.76 (step @p46 :rule refl :args (@t52)) % 0.52/0.76 (step @p47 :rule bool-and-de-morgan :args (@t2 @t60 true)) % 0.52/0.76 (step @p48 :rule cong :premises (@p47) :args (@t62)) % 0.52/0.76 (step @p49 :rule cong :premises (@p48) :args (@t63)) % 0.52/0.76 (step @p50 :rule exists-elim :args ((= (exists @t3 @t61) @t63))) % 0.52/0.76 (step @p51 :rule trans :premises (@p50 @p49)) % 0.52/0.76 (step @p52 :rule eq-symm :args (@t51 @t44)) % 0.52/0.76 (step @p53 :rule refl :args (@t2)) % 0.52/0.76 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t53)) % 0.52/0.76 (step @p55 :rule cong :premises (@p54) :args (@t54)) % 0.52/0.76 (step @p56 :rule trans :premises (@p55 @p51)) % 0.52/0.76 (step @p57 :rule nary_cong :premises (@p56 @p46) :args (@t55)) % 0.52/0.76 (step @p58 :rule cong :premises (@p57) :args (@t56)) % 0.52/0.76 (step @p59 :rule eq_resolve :premises (@p35 @p58)) % 0.52/0.76 (step @p60 :rule not_or_elim :premises (@p59) :args (0)) % 0.52/0.76 (step @p61 :rule not_not_elim :premises (@p60)) % 0.52/0.76 (step @p62 :rule eq-symm :args (@t67 @t51)) % 0.52/0.76 (step @p63 :rule cong :premises (@p62) :args (@t68)) % 0.52/0.76 (step @p64 :rule refl :args (@t70)) % 0.52/0.76 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t71)) % 0.52/0.76 (step @p66 :rule refl :args (@t72)) % 0.52/0.76 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t72 @t71))) % 0.52/0.76 (assume-push @p155 @t72) % 0.52/0.76 (step @p69 :rule instantiate :premises (@p61) :args ((@list @t66))) % 0.52/0.76 (step-pop @p156 :rule scope :premises (@p69)) % 0.52/0.76 (step @p70 :rule process_scope :premises (@p156) :args (@t71)) % 0.52/0.76 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.52/0.76 (step @p73 :rule implies_elim :premises (@p72)) % 0.52/0.76 (step @p74 :rule chain_m_resolution :premises (@p73 @p61) :args (@t75 @t76 (@list @t72))) % 0.52/0.76 (step @p75 :rule aci_norm :args ((= (or @t78 @t21) (or @t58 @t57 @t77 @t21)))) % 0.52/0.76 (step @p76 :rule refl :args (@t21)) % 0.52/0.76 (step @p77 :rule aci_norm :args ((= (or @t58 (or @t57 @t77)) @t78))) % 0.52/0.76 (step @p78 :rule bool-and-de-morgan :args (@t7 @t15 true)) % 0.52/0.76 (step @p79 :rule refl :args (@t58)) % 0.52/0.76 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t58 (not @t28)))) % 0.52/0.76 (step @p81 :rule bool-and-de-morgan :args (@t2 @t7 (and @t15))) % 0.52/0.76 (step @p82 :rule trans :premises (@p81 @p80)) % 0.52/0.76 (step @p83 :rule trans :premises (@p82 @p77)) % 0.52/0.76 (step @p84 :rule nary_cong :premises (@p83 @p76) :args ((or (not @t16) @t21))) % 0.52/0.76 (step @p85 :rule trans :premises (@p84 @p75)) % 0.52/0.76 (step @p86 :rule bool-impl-elim :args (@t16 @t21)) % 0.52/0.76 (step @p87 :rule trans :premises (@p86 @p85)) % 0.52/0.76 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 0.52/0.76 (step @p89 :rule eq_resolve :premises (@p13 @p88)) % 0.52/0.76 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.xl @t65 @t64))) % 0.52/0.76 (step @p91 :rule bool-and-de-morgan :args (@t2 @t45 true)) % 0.52/0.76 (step @p92 :rule cong :premises (@p91) :args (@t79)) % 0.52/0.76 (step @p93 :rule cong :premises (@p92) :args (@t80)) % 0.52/0.76 (step @p94 :rule exists-elim :args ((= @t47 @t80))) % 0.52/0.76 (step @p95 :rule trans :premises (@p94 @p93)) % 0.52/0.76 (step @p96 :rule and_elim :premises (@p34) :args (2)) % 0.52/0.76 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.52/0.76 (step @p98 :rule skolemize :premises (@p97)) % 0.52/0.76 (step @p99 :rule bool-double-not-elim :args (@t81)) % 0.52/0.76 (step @p100 :rule refl :args (@t86)) % 0.52/0.76 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t86 (not @t85)))) % 0.52/0.76 (step @p102 :rule cnf_or_neg :args (@t86 0)) % 0.52/0.76 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.52/0.76 (step @p104 :rule reordering :premises (@p103) :args ((or @t81 @t86))) % 0.52/0.76 (step @p105 :rule chain_m_resolution :premises (@p104 @p98) :args (@t81 @t87 @t88)) % 0.52/0.76 (step @p106 :rule bool-and-de-morgan :args (@t2 @t48 true)) % 0.52/0.76 (step @p107 :rule cong :premises (@p106) :args (@t89)) % 0.52/0.76 (step @p108 :rule cong :premises (@p107) :args (@t90)) % 0.52/0.76 (step @p109 :rule exists-elim :args ((= @t50 @t90))) % 0.52/0.76 (step @p110 :rule trans :premises (@p109 @p108)) % 0.52/0.76 (step @p111 :rule and_elim :premises (@p34) :args (0)) % 0.52/0.76 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.52/0.76 (step @p113 :rule skolemize :premises (@p112)) % 0.52/0.76 (step @p114 :rule bool-double-not-elim :args (@t91)) % 0.52/0.76 (step @p115 :rule refl :args (@t96)) % 0.52/0.76 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t96 (not @t95)))) % 0.52/0.76 (step @p117 :rule cnf_or_neg :args (@t96 0)) % 0.52/0.76 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.52/0.76 (step @p119 :rule reordering :premises (@p118) :args ((or @t91 @t96))) % 0.52/0.76 (step @p120 :rule chain_m_resolution :premises (@p119 @p113) :args (@t91 @t87 @t97)) % 0.52/0.76 (step @p121 :rule and_elim :premises (@p33) :args (0)) % 0.52/0.76 (step @p122 :rule cnf_or_pos :args (@t101)) % 0.52/0.76 (step @p123 :rule reordering :premises (@p122) :args ((or @t100 @t95 @t85 @t99 (not @t101)))) % 0.52/0.76 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120 @p105 @p90) :args (@t99 (@list false false false false) (@list @t43 @t91 @t81 @t101))) % 0.52/0.76 (step @p125 :rule cnf_and_pos :args (@t99 0)) % 0.52/0.76 (step @p126 :rule reordering :premises (@p125) :args ((or @t98 (not @t99)))) % 0.52/0.76 (step @p127 :rule chain_m_resolution :premises (@p126 @p124) :args (@t98 @t76 (@list @t99))) % 0.52/0.76 (step @p128 :rule symm :premises (@p127)) % 0.52/0.76 (step @p129 :rule bool-double-not-elim :args (@t83)) % 0.52/0.76 (step @p130 :rule nary_cong :premises (@p100 @p129) :args ((or @t86 (not @t84)))) % 0.52/0.76 (step @p131 :rule cnf_or_neg :args (@t86 1)) % 0.52/0.76 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.52/0.76 (step @p133 :rule reordering :premises (@p132) :args ((or @t83 @t86))) % 0.52/0.76 (step @p134 :rule chain_m_resolution :premises (@p133 @p98) :args (@t83 @t87 @t88)) % 0.52/0.76 (step @p135 :rule bool-double-not-elim :args (@t93)) % 0.52/0.76 (step @p136 :rule nary_cong :premises (@p115 @p135) :args ((or @t96 (not @t94)))) % 0.52/0.76 (step @p137 :rule cnf_or_neg :args (@t96 1)) % 0.52/0.76 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.52/0.76 (step @p139 :rule reordering :premises (@p138) :args ((or @t93 @t96))) % 0.52/0.76 (step @p140 :rule chain_m_resolution :premises (@p139 @p113) :args (@t93 @t87 @t97)) % 0.52/0.76 (step @p141 :rule cong :premises (@p140 @p134) :args (@t51)) % 0.52/0.76 (step @p142 :rule trans :premises (@p141 @p128)) % 0.52/0.76 (step @p143 :rule cnf_or_pos :args (@t75)) % 0.52/0.76 (step @p144 :rule reordering :premises (@p143) :args ((or @t70 @t74 (not @t75)))) % 0.52/0.76 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p74) :args (@t70 (@list false false) (@list @t73 @t75))) % 0.52/0.76 (step @p146 :rule cnf_or_pos :args (@t102)) % 0.52/0.76 (step @p147 :rule reordering :premises (@p146) :args ((or @t95 @t85 @t69 @t103))) % 0.52/0.76 (step @p148 :rule chain_m_resolution :premises (@p147 @p120 @p105 @p145) :args (@t103 (@list false false true) (@list @t91 @t81 @t69))) % 0.52/0.76 (assume-push @p157 @t104) % 0.52/0.76 (step @p150 :rule instantiate :premises (@p45) :args ((@list @t65 @t64))) % 0.52/0.76 (step-pop @p158 :rule scope :premises (@p150)) % 0.52/0.76 (step @p151 :rule process_scope :premises (@p158) :args (@t102)) % 0.52/0.76 (step @p153 :rule implies_elim :premises (@p151)) % 0.52/0.76 (step @p154 false :rule chain_m_resolution :premises (@p153 @p148 @p45) :args (false (@list true false) (@list @t102 @t104))) % 0.52/0.76 ) % 0.52/0.76 % SZS output end Proof % 0.52/0.76 % cvc5 exiting %------------------------------------------------------------------------------