%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM466+1 : 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 : n006.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 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM466+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:22:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.xn $$unsorted) % 0.53/0.74 (declare-const tptp.xm $$unsorted) % 0.53/0.74 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.xl $$unsorted) % 0.53/0.74 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.sz10 $$unsorted) % 0.53/0.74 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.sz00 $$unsorted) % 0.53/0.74 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "W0" $$unsorted)) % 0.53/0.74 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.53/0.74 (define @t3 () (@list @t1)) % 0.53/0.74 (define @t4 () (@var "W1" $$unsorted)) % 0.53/0.74 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.53/0.74 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.53/0.74 (define @t7 () (and @t2 @t6)) % 0.53/0.74 (define @t8 () (@list @t1 @t4)) % 0.53/0.74 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.53/0.74 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 0.53/0.74 (define @t11 () (forall @t8 (=> @t7 @t10))) % 0.53/0.74 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.53/0.74 (define @t13 () (@var "W2" $$unsorted)) % 0.53/0.74 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.53/0.74 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 0.53/0.74 (define @t16 () (and @t2 @t6 @t15)) % 0.53/0.74 (define @t17 () (@list @t1 @t4 @t13)) % 0.53/0.74 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 0.53/0.74 (define @t19 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 0.53/0.74 (define @t20 () (forall @t17 (=> @t16 @t19))) % 0.53/0.74 (define @t21 () (tptp.sdtasdt0 @t13 @t1)) % 0.53/0.74 (define @t22 () (tptp.sdtasdt0 @t1 @t13)) % 0.53/0.74 (define @t23 () (= @t4 @t13)) % 0.53/0.74 (define @t24 () (tptp.sdtpldt0 @t13 @t1)) % 0.53/0.74 (define @t25 () (tptp.sdtpldt0 @t1 @t13)) % 0.53/0.74 (define @t26 () (= @t18 @t21)) % 0.53/0.74 (define @t27 () (= @t9 @t22)) % 0.53/0.74 (define @t28 () (and @t6 @t15)) % 0.53/0.74 (define @t29 () (= @t1 tptp.sz00)) % 0.53/0.74 (define @t30 () (not @t29)) % 0.53/0.74 (define @t31 () (= @t4 tptp.sz00)) % 0.53/0.74 (define @t32 () (and @t15 (= @t25 @t4))) % 0.53/0.74 (define @t33 () (@list @t13)) % 0.53/0.74 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.53/0.74 (define @t35 () (= @t1 @t4)) % 0.53/0.74 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.53/0.74 (define @t37 () (tptp.sdtlseqdt0 @t4 @t13)) % 0.53/0.74 (define @t38 () (tptp.sdtpldt0 @t13 @t4)) % 0.53/0.74 (define @t39 () (and (not @t35) @t34)) % 0.53/0.74 (define @t40 () (tptp.iLess0 @t1 @t4)) % 0.53/0.74 (define @t41 () (= @t4 @t22)) % 0.53/0.74 (define @t42 () (and @t15 @t41)) % 0.53/0.74 (define @t43 () (exists @t33 @t42)) % 0.53/0.74 (define @t44 () (tptp.doDivides0 @t1 @t4)) % 0.53/0.74 (define @t45 () (= @t44 @t43)) % 0.53/0.74 (define @t46 () (=> @t7 @t45)) % 0.53/0.74 (define @t47 () (forall @t8 @t46)) % 0.53/0.74 (define @t48 () (tptp.aNaturalNumber0 tptp.xn)) % 0.53/0.74 (define @t49 () (tptp.aNaturalNumber0 tptp.xm)) % 0.53/0.74 (define @t50 () (tptp.aNaturalNumber0 tptp.xl)) % 0.53/0.74 (define @t51 () (tptp.doDivides0 tptp.xl tptp.xn)) % 0.53/0.74 (define @t52 () (tptp.doDivides0 tptp.xm tptp.xn)) % 0.53/0.74 (define @t53 () (tptp.doDivides0 tptp.xl tptp.xm)) % 0.53/0.74 (define @t54 () (not @t15)) % 0.53/0.74 (define @t55 () (= @t44 (not (forall @t33 (or @t54 (not @t41)))))) % 0.53/0.74 (define @t56 () (not @t6)) % 0.53/0.74 (define @t57 () (not @t2)) % 0.53/0.74 (define @t58 () (or @t57 @t56)) % 0.53/0.74 (define @t59 () (not @t7)) % 0.53/0.74 (define @t60 () (forall @t33 (not @t42))) % 0.53/0.74 (define @t61 () (not @t60)) % 0.53/0.74 (define @t62 () (tptp.sdtasdt0 tptp.xl @t13)) % 0.53/0.74 (define @t63 () (forall @t33 (or @t54 (not (= tptp.xm @t62))))) % 0.53/0.74 (define @t64 () (not @t63)) % 0.53/0.74 (define @t65 () (= @t53 @t64)) % 0.53/0.74 (define @t66 () (not @t49)) % 0.53/0.74 (define @t67 () (not @t50)) % 0.53/0.74 (define @t68 () (or @t67 @t66 @t65)) % 0.53/0.74 (define @t69 () (@list false false false)) % 0.53/0.74 (define @t70 () (@list false false)) % 0.53/0.74 (define @t71 () (@quantifiers_skolemize @t63 0)) % 0.53/0.74 (define @t72 () (tptp.sdtasdt0 tptp.xl @t71)) % 0.53/0.74 (define @t73 () (= tptp.xm @t72)) % 0.53/0.74 (define @t74 () (not @t73)) % 0.53/0.74 (define @t75 () (tptp.aNaturalNumber0 @t71)) % 0.53/0.74 (define @t76 () (not @t75)) % 0.53/0.74 (define @t77 () (or @t76 @t74)) % 0.53/0.74 (define @t78 () (@list true)) % 0.53/0.74 (define @t79 () (@list @t77)) % 0.53/0.74 (define @t80 () (forall @t33 (or @t54 (not (= tptp.xn (tptp.sdtasdt0 tptp.xm @t13)))))) % 0.53/0.74 (define @t81 () (not @t80)) % 0.53/0.74 (define @t82 () (= @t52 @t81)) % 0.53/0.74 (define @t83 () (not @t48)) % 0.53/0.74 (define @t84 () (or @t66 @t83 @t82)) % 0.53/0.74 (define @t85 () (@quantifiers_skolemize @t80 0)) % 0.53/0.74 (define @t86 () (tptp.sdtasdt0 tptp.xm @t85)) % 0.53/0.74 (define @t87 () (= tptp.xn @t86)) % 0.53/0.74 (define @t88 () (not @t87)) % 0.53/0.74 (define @t89 () (tptp.aNaturalNumber0 @t85)) % 0.53/0.74 (define @t90 () (not @t89)) % 0.53/0.74 (define @t91 () (or @t90 @t88)) % 0.53/0.74 (define @t92 () (@list @t91)) % 0.53/0.74 (define @t93 () (or @t57 @t56 @t54)) % 0.53/0.74 (define @t94 () (tptp.sdtasdt0 @t71 @t85)) % 0.53/0.74 (define @t95 () (tptp.sdtasdt0 tptp.xl @t94)) % 0.53/0.74 (define @t96 () (= (tptp.sdtasdt0 @t72 @t85) @t95)) % 0.53/0.74 (define @t97 () (or @t67 @t76 @t90 @t96)) % 0.53/0.74 (define @t98 () (@list false false false false)) % 0.53/0.74 (define @t99 () (@list @t50 @t75 @t89 @t97)) % 0.53/0.74 (define @t100 () (forall @t33 (or @t54 (not (= tptp.xn @t62))))) % 0.53/0.74 (define @t101 () (not @t100)) % 0.53/0.74 (define @t102 () (= @t51 @t101)) % 0.53/0.74 (define @t103 () (or @t67 @t83 @t102)) % 0.53/0.74 (define @t104 () (not @t102)) % 0.53/0.74 (define @t105 () (tptp.aNaturalNumber0 @t94)) % 0.53/0.74 (define @t106 () (or @t76 @t90 @t105)) % 0.53/0.74 (define @t107 () (= tptp.xn @t95)) % 0.53/0.74 (define @t108 () (not @t107)) % 0.53/0.74 (define @t109 () (not @t105)) % 0.53/0.74 (define @t110 () (or @t109 @t108)) % 0.53/0.74 (define @t111 () (not @t96)) % 0.53/0.74 (define @t112 () (and @t107 @t108)) % 0.53/0.74 (assume @p1 (forall @t3 (=> @t2 true))) % 0.53/0.74 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.53/0.74 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.53/0.74 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.53/0.74 (assume @p5 @t11) % 0.53/0.74 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 0.53/0.74 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 0.53/0.74 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.53/0.74 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t18)))) % 0.53/0.74 (assume @p10 @t20) % 0.53/0.74 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.53/0.74 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.53/0.74 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t22)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t21)))))) % 0.53/0.74 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t25) (= @t12 @t24)) @t23)))) % 0.53/0.74 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t13) (=> @t28 (=> (or @t27 @t26) @t23))))))) % 0.53/0.74 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 0.53/0.74 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 0.53/0.74 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 0.53/0.74 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 0.53/0.74 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.53/0.74 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 0.53/0.74 (assume @p22 (forall @t17 (=> @t16 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.53/0.74 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not (= @t4 @t1)) @t36))))) % 0.53/0.74 (assume @p24 (forall @t8 (=> @t7 (=> @t39 (forall @t33 (=> @t15 (and (not (= @t24 @t38)) (tptp.sdtlseqdt0 @t24 @t38) (not (= @t25 @t14)) (tptp.sdtlseqdt0 @t25 @t14)))))))) % 0.53/0.74 (assume @p25 (forall @t17 (=> @t16 (=> (and @t30 (not @t23) @t37) (and (not @t27) (tptp.sdtlseqdt0 @t9 @t22) (not @t26) (tptp.sdtlseqdt0 @t18 @t21)))))) % 0.53/0.74 (assume @p26 (forall @t3 (=> @t2 (or @t29 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.53/0.74 (assume @p27 (forall @t8 (=> @t7 (=> @t30 (tptp.sdtlseqdt0 @t4 @t18))))) % 0.53/0.74 (assume @p28 (forall @t8 (=> @t7 (=> @t40 true)))) % 0.53/0.74 (assume @p29 (forall @t8 (=> @t7 (=> @t39 @t40)))) % 0.53/0.74 (assume @p30 @t47) % 0.53/0.74 (assume @p31 (forall @t8 (=> @t7 (=> (and @t30 @t44) (forall @t33 (= (= @t13 (tptp.sdtsldt0 @t4 @t1)) @t42)))))) % 0.53/0.74 (assume @p32 (and @t50 @t49 @t48)) % 0.53/0.74 (assume @p33 (not (=> (and @t53 @t52) @t51))) % 0.53/0.74 (assume @p34 true) % 0.53/0.74 (step @p35 :rule aci_norm :args ((= (or @t58 @t55) (or @t57 @t56 @t55)))) % 0.53/0.74 (step @p36 :rule refl :args (@t55)) % 0.53/0.74 (step @p37 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.53/0.74 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t59 @t55))) % 0.53/0.74 (step @p39 :rule trans :premises (@p38 @p35)) % 0.53/0.74 (step @p40 :rule bool-impl-elim :args (@t7 @t55)) % 0.53/0.75 (step @p41 :rule trans :premises (@p40 @p39)) % 0.53/0.75 (step @p42 :rule cong :premises (@p41) :args ((forall @t8 (=> @t7 @t55)))) % 0.53/0.75 (step @p43 :rule bool-and-de-morgan :args (@t15 @t41 true)) % 0.53/0.75 (step @p44 :rule cong :premises (@p43) :args (@t60)) % 0.53/0.75 (step @p45 :rule cong :premises (@p44) :args (@t61)) % 0.53/0.75 (step @p46 :rule exists-elim :args ((= @t43 @t61))) % 0.53/0.75 (step @p47 :rule trans :premises (@p46 @p45)) % 0.53/0.75 (step @p48 :rule refl :args (@t44)) % 0.53/0.75 (step @p49 :rule cong :premises (@p48 @p47) :args (@t45)) % 0.53/0.75 (step @p50 :rule refl :args (@t7)) % 0.53/0.75 (step @p51 :rule cong :premises (@p50 @p49) :args (@t46)) % 0.53/0.75 (step @p52 :rule cong :premises (@p51) :args (@t47)) % 0.53/0.75 (step @p53 :rule trans :premises (@p52 @p42)) % 0.53/0.75 (step @p54 :rule eq_resolve :premises (@p30 @p53)) % 0.53/0.75 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.xl tptp.xm))) % 0.53/0.75 (step @p56 :rule and_elim :premises (@p32) :args (1)) % 0.53/0.75 (step @p57 :rule and_elim :premises (@p32) :args (0)) % 0.53/0.75 (step @p58 :rule cnf_or_pos :args (@t68)) % 0.53/0.75 (step @p59 :rule reordering :premises (@p58) :args ((or @t67 @t66 @t65 (not @t68)))) % 0.53/0.75 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56 @p55) :args (@t65 @t69 (@list @t50 @t49 @t68))) % 0.53/0.75 (step @p61 :rule not_implies_elim1 :premises (@p33)) % 0.53/0.75 (step @p62 :rule and_elim :premises (@p61) :args (0)) % 0.53/0.75 (step @p63 :rule cnf_equiv_pos1 :args (@t65)) % 0.53/0.75 (step @p64 :rule reordering :premises (@p63) :args ((or (not @t53) @t64 (not @t65)))) % 0.53/0.75 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p60) :args (@t64 @t70 (@list @t53 @t65))) % 0.53/0.75 (step @p66 :rule skolemize :premises (@p65)) % 0.53/0.75 (step @p67 :rule bool-double-not-elim :args (@t73)) % 0.53/0.75 (step @p68 :rule refl :args (@t77)) % 0.53/0.75 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t77 (not @t74)))) % 0.53/0.75 (step @p70 :rule cnf_or_neg :args (@t77 1)) % 0.53/0.75 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.53/0.75 (step @p72 :rule reordering :premises (@p71) :args ((or @t73 @t77))) % 0.53/0.75 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t73 @t78 @t79)) % 0.53/0.75 (step @p74 :rule instantiate :premises (@p54) :args ((@list tptp.xm tptp.xn))) % 0.53/0.75 (step @p75 :rule and_elim :premises (@p32) :args (2)) % 0.53/0.75 (step @p76 :rule cnf_or_pos :args (@t84)) % 0.53/0.75 (step @p77 :rule reordering :premises (@p76) :args ((or @t66 @t83 @t82 (not @t84)))) % 0.53/0.75 (step @p78 :rule chain_m_resolution :premises (@p77 @p56 @p75 @p74) :args (@t82 @t69 (@list @t49 @t48 @t84))) % 0.53/0.75 (step @p79 :rule and_elim :premises (@p61) :args (1)) % 0.53/0.75 (step @p80 :rule cnf_equiv_pos1 :args (@t82)) % 0.53/0.75 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t52) @t81 (not @t82)))) % 0.53/0.75 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p78) :args (@t81 @t70 (@list @t52 @t82))) % 0.53/0.75 (step @p83 :rule skolemize :premises (@p82)) % 0.53/0.75 (step @p84 :rule bool-double-not-elim :args (@t87)) % 0.53/0.75 (step @p85 :rule refl :args (@t91)) % 0.53/0.75 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t91 (not @t88)))) % 0.53/0.75 (step @p87 :rule cnf_or_neg :args (@t91 1)) % 0.53/0.75 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.53/0.75 (step @p89 :rule reordering :premises (@p88) :args ((or @t87 @t91))) % 0.53/0.75 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t87 @t78 @t92)) % 0.53/0.75 (step @p91 :rule aci_norm :args ((= (or @t93 @t19) (or @t57 @t56 @t54 @t19)))) % 0.53/0.75 (step @p92 :rule refl :args (@t19)) % 0.53/0.75 (step @p93 :rule aci_norm :args ((= (or @t57 (or @t56 @t54)) @t93))) % 0.53/0.75 (step @p94 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 0.53/0.75 (step @p95 :rule refl :args (@t57)) % 0.53/0.75 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t57 (not @t28)))) % 0.53/0.75 (step @p97 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 0.53/0.75 (step @p98 :rule trans :premises (@p97 @p96)) % 0.53/0.75 (step @p99 :rule trans :premises (@p98 @p93)) % 0.53/0.75 (step @p100 :rule nary_cong :premises (@p99 @p92) :args ((or (not @t16) @t19))) % 0.53/0.75 (step @p101 :rule trans :premises (@p100 @p91)) % 0.53/0.75 (step @p102 :rule bool-impl-elim :args (@t16 @t19)) % 0.53/0.75 (step @p103 :rule trans :premises (@p102 @p101)) % 0.53/0.75 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 0.53/0.75 (step @p105 :rule eq_resolve :premises (@p10 @p104)) % 0.53/0.75 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.xl @t71 @t85))) % 0.53/0.75 (step @p107 :rule bool-double-not-elim :args (@t89)) % 0.53/0.75 (step @p108 :rule nary_cong :premises (@p85 @p107) :args ((or @t91 (not @t90)))) % 0.53/0.75 (step @p109 :rule cnf_or_neg :args (@t91 0)) % 0.53/0.75 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.53/0.75 (step @p111 :rule reordering :premises (@p110) :args ((or @t89 @t91))) % 0.53/0.75 (step @p112 :rule chain_m_resolution :premises (@p111 @p83) :args (@t89 @t78 @t92)) % 0.53/0.75 (step @p113 :rule bool-double-not-elim :args (@t75)) % 0.53/0.75 (step @p114 :rule nary_cong :premises (@p68 @p113) :args ((or @t77 (not @t76)))) % 0.53/0.75 (step @p115 :rule cnf_or_neg :args (@t77 0)) % 0.53/0.75 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.53/0.75 (step @p117 :rule reordering :premises (@p116) :args ((or @t75 @t77))) % 0.53/0.75 (step @p118 :rule chain_m_resolution :premises (@p117 @p66) :args (@t75 @t78 @t79)) % 0.53/0.75 (step @p119 :rule cnf_or_pos :args (@t97)) % 0.53/0.75 (step @p120 :rule reordering :premises (@p119) :args ((or @t67 @t76 @t90 @t96 (not @t97)))) % 0.53/0.75 (step @p121 :rule chain_m_resolution :premises (@p120 @p57 @p118 @p112 @p106) :args (@t96 @t98 @t99)) % 0.53/0.75 (step @p122 :rule instantiate :premises (@p54) :args ((@list tptp.xl tptp.xn))) % 0.53/0.75 (step @p123 :rule cnf_or_pos :args (@t103)) % 0.53/0.75 (step @p124 :rule reordering :premises (@p123) :args ((or @t67 @t83 @t102 (not @t103)))) % 0.53/0.75 (step @p125 :rule chain_m_resolution :premises (@p124 @p57 @p75 @p122) :args (@t102 @t69 (@list @t50 @t48 @t103))) % 0.53/0.75 (step @p126 :rule not_implies_elim2 :premises (@p33)) % 0.53/0.75 (step @p127 :rule bool-double-not-elim :args (@t100)) % 0.53/0.75 (step @p128 :rule refl :args (@t51)) % 0.53/0.75 (step @p129 :rule refl :args (@t104)) % 0.53/0.75 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127) :args ((or @t104 @t51 (not @t101)))) % 0.53/0.75 (step @p131 :rule cnf_equiv_pos2 :args (@t102)) % 0.53/0.75 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.53/0.75 (step @p133 :rule reordering :premises (@p132) :args ((or @t51 @t100 @t104))) % 0.53/0.75 (step @p134 :rule chain_m_resolution :premises (@p133 @p126 @p125) :args (@t100 (@list true false) (@list @t51 @t102))) % 0.53/0.75 (step @p135 :rule instantiate :premises (@p134) :args ((@list @t94))) % 0.53/0.75 (step @p136 :rule aci_norm :args ((= (or @t58 @t10) (or @t57 @t56 @t10)))) % 0.53/0.75 (step @p137 :rule refl :args (@t10)) % 0.53/0.75 (step @p138 :rule nary_cong :premises (@p37 @p137) :args ((or @t59 @t10))) % 0.53/0.75 (step @p139 :rule trans :premises (@p138 @p136)) % 0.53/0.75 (step @p140 :rule bool-impl-elim :args (@t7 @t10)) % 0.53/0.75 (step @p141 :rule trans :premises (@p140 @p139)) % 0.53/0.75 (step @p142 :rule cong :premises (@p141) :args (@t11)) % 0.53/0.75 (step @p143 :rule eq_resolve :premises (@p5 @p142)) % 0.53/0.75 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t71 @t85))) % 0.53/0.75 (step @p145 :rule cnf_or_pos :args (@t106)) % 0.53/0.75 (step @p146 :rule reordering :premises (@p145) :args ((or @t76 @t90 @t105 (not @t106)))) % 0.53/0.75 (step @p147 :rule chain_m_resolution :premises (@p146 @p118 @p112 @p144) :args (@t105 @t69 (@list @t75 @t89 @t106))) % 0.53/0.75 (step @p148 :rule cnf_or_pos :args (@t110)) % 0.53/0.75 (step @p149 :rule reordering :premises (@p148) :args ((or @t109 @t108 (not @t110)))) % 0.53/0.75 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p135) :args (@t108 @t70 (@list @t105 @t110))) % 0.53/0.75 (step @p151 :rule bool-double-not-elim :args (@t107)) % 0.53/0.75 (step @p152 :rule refl :args (@t111)) % 0.53/0.75 (step @p153 :rule refl :args (@t88)) % 0.53/0.75 (step @p154 :rule refl :args (@t74)) % 0.53/0.75 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151) :args ((or @t74 @t88 @t111 (not @t108)))) % 0.53/0.75 (assume-push @p188 @t107) % 0.53/0.75 (assume-push @p189 @t108) % 0.53/0.75 (step @p158 :rule evaluate :args ((= true false))) % 0.53/0.75 (step @p159 :rule false_intro :premises (@p150)) % 0.53/0.75 (step @p160 :rule chain_m_resolution :premises (@p120 @p57 @p118 @p112 @p106) :args (@t96 @t98 @t99)) % 0.53/0.75 (step @p161 :rule refl :args (@t85)) % 0.53/0.75 (step @p162 :rule cong :premises (@p73 @p161) :args (@t86)) % 0.53/0.75 (step @p163 :rule chain_m_resolution :premises (@p89 @p83) :args (@t87 @t78 @t92)) % 0.53/0.75 (step @p164 :rule trans :premises (@p163 @p162 @p160)) % 0.53/0.75 (step @p165 :rule true_intro :premises (@p164)) % 0.53/0.75 (step @p166 :rule symm :premises (@p165)) % 0.53/0.75 (step @p167 :rule trans :premises (@p166 @p159)) % 0.53/0.75 (step @p168 false :rule eq_resolve :premises (@p167 @p158)) % 0.53/0.75 (step-pop @p190 :rule scope :premises (@p168)) % 0.53/0.75 (step-pop @p191 :rule scope :premises (@p190)) % 0.53/0.75 (step @p169 :rule process_scope :premises (@p191) :args (false)) % 0.53/0.75 (assume-push @p192 @t73) % 0.53/0.75 (assume-push @p193 @t87) % 0.53/0.75 (assume-push @p194 @t96) % 0.53/0.75 (assume-push @p195 @t108) % 0.53/0.75 (step @p161 :rule refl :args (@t85)) % 0.53/0.75 (step @p162 :rule cong :premises (@p73 @p161) :args (@t86)) % 0.53/0.75 (step @p176 :rule trans :premises (@p90 @p162 @p121)) % 0.53/0.75 (step @p177 :rule and_intro :premises (@p176 @p150)) % 0.53/0.75 (step-pop @p196 :rule scope :premises (@p177)) % 0.53/0.75 (step-pop @p197 :rule scope :premises (@p196)) % 0.53/0.75 (step-pop @p198 :rule scope :premises (@p197)) % 0.53/0.75 (step-pop @p199 :rule scope :premises (@p198)) % 0.53/0.75 (step @p178 :rule process_scope :premises (@p199) :args (@t112)) % 0.53/0.75 (step @p183 :rule implies_elim :premises (@p178)) % 0.53/0.75 (step @p184 :rule resolution :premises (@p183 @p169) :args (true @t112)) % 0.53/0.75 (step @p185 :rule not_and :premises (@p184)) % 0.53/0.75 (step @p186 :rule eq_resolve :premises (@p185 @p155)) % 0.53/0.75 (step @p187 false :rule chain_m_resolution :premises (@p186 @p150 @p121 @p90 @p73) :args (false (@list true false false false) (@list @t107 @t96 @t87 @t73))) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------