%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM467+1 : 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 : n004.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 1.33s 1.55s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM467+1 : 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 % 0.15/0.33 % Computer : n004.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:22:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.33/1.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.55 % SZS status Theorem % 1.33/1.55 % SZS output start Proof % 1.33/1.55 ( % 1.33/1.55 (declare-sort $$unsorted 0) % 1.33/1.55 (declare-const tptp.xl $$unsorted) % 1.33/1.55 (declare-const tptp.xm $$unsorted) % 1.33/1.55 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.33/1.55 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.55 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.55 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.55 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.33/1.55 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.55 (declare-const tptp.sz10 $$unsorted) % 1.33/1.55 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 1.33/1.55 (declare-const tptp.sz00 $$unsorted) % 1.33/1.55 (declare-const tptp.xn $$unsorted) % 1.33/1.55 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 1.33/1.55 (define @t1 () (@var "W0" $$unsorted)) % 1.33/1.55 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 1.33/1.55 (define @t3 () (@list @t1)) % 1.33/1.55 (define @t4 () (@var "W1" $$unsorted)) % 1.33/1.55 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 1.33/1.55 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 1.33/1.55 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 1.33/1.55 (define @t8 () (and @t2 @t7)) % 1.33/1.55 (define @t9 () (@list @t1 @t4)) % 1.33/1.55 (define @t10 () (forall @t9 (=> @t8 @t6))) % 1.33/1.55 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 1.33/1.55 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 1.33/1.55 (define @t13 () (= @t5 @t12)) % 1.33/1.55 (define @t14 () (forall @t9 (=> @t8 @t13))) % 1.33/1.55 (define @t15 () (@var "W2" $$unsorted)) % 1.33/1.55 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 1.33/1.55 (define @t17 () (tptp.aNaturalNumber0 @t15)) % 1.33/1.55 (define @t18 () (and @t2 @t7 @t17)) % 1.33/1.55 (define @t19 () (@list @t1 @t4 @t15)) % 1.33/1.55 (define @t20 () (tptp.sdtasdt0 @t4 @t1)) % 1.33/1.55 (define @t21 () (tptp.sdtasdt0 @t15 @t1)) % 1.33/1.55 (define @t22 () (tptp.sdtasdt0 @t1 @t15)) % 1.33/1.55 (define @t23 () (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t22)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t20 @t21)))) % 1.33/1.55 (define @t24 () (forall @t19 (=> @t18 @t23))) % 1.33/1.55 (define @t25 () (= @t4 @t15)) % 1.33/1.55 (define @t26 () (tptp.sdtpldt0 @t15 @t1)) % 1.33/1.55 (define @t27 () (tptp.sdtpldt0 @t1 @t15)) % 1.33/1.55 (define @t28 () (= @t20 @t21)) % 1.33/1.55 (define @t29 () (= @t11 @t22)) % 1.33/1.55 (define @t30 () (and @t7 @t17)) % 1.33/1.55 (define @t31 () (= @t1 tptp.sz00)) % 1.33/1.55 (define @t32 () (not @t31)) % 1.33/1.55 (define @t33 () (= @t4 tptp.sz00)) % 1.33/1.55 (define @t34 () (and @t17 (= @t27 @t4))) % 1.33/1.55 (define @t35 () (@list @t15)) % 1.33/1.55 (define @t36 () (tptp.sdtlseqdt0 @t1 @t4)) % 1.33/1.55 (define @t37 () (= @t1 @t4)) % 1.33/1.55 (define @t38 () (tptp.sdtlseqdt0 @t4 @t1)) % 1.33/1.55 (define @t39 () (tptp.sdtlseqdt0 @t4 @t15)) % 1.33/1.55 (define @t40 () (tptp.sdtpldt0 @t15 @t4)) % 1.33/1.55 (define @t41 () (and (not @t37) @t36)) % 1.33/1.55 (define @t42 () (tptp.iLess0 @t1 @t4)) % 1.33/1.55 (define @t43 () (= @t4 @t22)) % 1.33/1.55 (define @t44 () (and @t17 @t43)) % 1.33/1.55 (define @t45 () (exists @t35 @t44)) % 1.33/1.55 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 1.33/1.55 (define @t47 () (= @t46 @t45)) % 1.33/1.55 (define @t48 () (=> @t8 @t47)) % 1.33/1.55 (define @t49 () (forall @t9 @t48)) % 1.33/1.55 (define @t50 () (tptp.aNaturalNumber0 tptp.xn)) % 1.33/1.55 (define @t51 () (tptp.aNaturalNumber0 tptp.xm)) % 1.33/1.55 (define @t52 () (tptp.aNaturalNumber0 tptp.xl)) % 1.33/1.55 (define @t53 () (tptp.doDivides0 tptp.xl tptp.xn)) % 1.33/1.55 (define @t54 () (tptp.doDivides0 tptp.xl tptp.xm)) % 1.33/1.55 (define @t55 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 1.33/1.55 (define @t56 () (tptp.doDivides0 tptp.xl @t55)) % 1.33/1.55 (define @t57 () (not @t7)) % 1.33/1.55 (define @t58 () (not @t2)) % 1.33/1.55 (define @t59 () (or @t58 @t57)) % 1.33/1.55 (define @t60 () (not @t8)) % 1.33/1.55 (define @t61 () (@list tptp.xm tptp.xn)) % 1.33/1.55 (define @t62 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 1.33/1.55 (define @t63 () (= @t55 @t62)) % 1.33/1.55 (define @t64 () (not @t50)) % 1.33/1.55 (define @t65 () (not @t51)) % 1.33/1.55 (define @t66 () (or @t65 @t64 @t63)) % 1.33/1.55 (define @t67 () (@list false false false)) % 1.33/1.55 (define @t68 () (@list @t51 @t50 @t66)) % 1.33/1.55 (define @t69 () (not @t17)) % 1.33/1.55 (define @t70 () (= @t46 (not (forall @t35 (or @t69 (not @t43)))))) % 1.33/1.55 (define @t71 () (forall @t35 (not @t44))) % 1.33/1.55 (define @t72 () (not @t71)) % 1.33/1.55 (define @t73 () (tptp.sdtasdt0 tptp.xl @t15)) % 1.33/1.55 (define @t74 () (forall @t35 (or @t69 (not (= tptp.xm @t73))))) % 1.33/1.55 (define @t75 () (not @t74)) % 1.33/1.55 (define @t76 () (= @t54 @t75)) % 1.33/1.55 (define @t77 () (not @t52)) % 1.33/1.55 (define @t78 () (or @t77 @t65 @t76)) % 1.33/1.55 (define @t79 () (@list false false)) % 1.33/1.55 (define @t80 () (@quantifiers_skolemize @t74 0)) % 1.33/1.55 (define @t81 () (tptp.sdtasdt0 tptp.xl @t80)) % 1.33/1.55 (define @t82 () (= tptp.xm @t81)) % 1.33/1.55 (define @t83 () (not @t82)) % 1.33/1.55 (define @t84 () (tptp.aNaturalNumber0 @t80)) % 1.33/1.55 (define @t85 () (not @t84)) % 1.33/1.55 (define @t86 () (or @t85 @t83)) % 1.33/1.55 (define @t87 () (@list true)) % 1.33/1.55 (define @t88 () (@list @t86)) % 1.33/1.55 (define @t89 () (forall @t35 (or @t69 (not (= tptp.xn @t73))))) % 1.33/1.55 (define @t90 () (not @t89)) % 1.33/1.55 (define @t91 () (= @t53 @t90)) % 1.33/1.55 (define @t92 () (or @t77 @t64 @t91)) % 1.33/1.55 (define @t93 () (@quantifiers_skolemize @t89 0)) % 1.33/1.55 (define @t94 () (tptp.sdtasdt0 tptp.xl @t93)) % 1.33/1.55 (define @t95 () (= tptp.xn @t94)) % 1.33/1.55 (define @t96 () (not @t95)) % 1.33/1.55 (define @t97 () (tptp.aNaturalNumber0 @t93)) % 1.33/1.55 (define @t98 () (not @t97)) % 1.33/1.55 (define @t99 () (or @t98 @t96)) % 1.33/1.55 (define @t100 () (@list @t99)) % 1.33/1.55 (define @t101 () (or @t58 @t57 @t69)) % 1.33/1.55 (define @t102 () (tptp.sdtpldt0 @t93 @t80)) % 1.33/1.55 (define @t103 () (tptp.sdtasdt0 tptp.xl @t102)) % 1.33/1.55 (define @t104 () (= @t103 (tptp.sdtpldt0 @t94 @t81))) % 1.33/1.55 (define @t105 () (and @t104 (= (tptp.sdtasdt0 @t102 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 @t93 tptp.xl) (tptp.sdtasdt0 @t80 tptp.xl))))) % 1.33/1.55 (define @t106 () (or @t77 @t98 @t85 @t105)) % 1.33/1.55 (define @t107 () (tptp.aNaturalNumber0 @t55)) % 1.33/1.55 (define @t108 () (or @t65 @t64 @t107)) % 1.33/1.55 (define @t109 () (forall @t35 (or @t69 (not (= @t55 @t73))))) % 1.33/1.55 (define @t110 () (not @t109)) % 1.33/1.55 (define @t111 () (= @t56 @t110)) % 1.33/1.55 (define @t112 () (not @t107)) % 1.33/1.55 (define @t113 () (or @t77 @t112 @t111)) % 1.33/1.55 (define @t114 () (not @t111)) % 1.33/1.55 (define @t115 () (tptp.aNaturalNumber0 @t102)) % 1.33/1.55 (define @t116 () (or @t98 @t85 @t115)) % 1.33/1.55 (define @t117 () (= @t55 @t103)) % 1.33/1.55 (define @t118 () (not @t117)) % 1.33/1.55 (define @t119 () (not @t115)) % 1.33/1.55 (define @t120 () (or @t119 @t118)) % 1.33/1.55 (define @t121 () (not @t104)) % 1.33/1.55 (define @t122 () (not @t63)) % 1.33/1.55 (define @t123 () (and @t117 @t118)) % 1.33/1.55 (assume @p1 (forall @t3 (=> @t2 true))) % 1.33/1.55 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 1.33/1.55 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 1.33/1.55 (assume @p4 @t10) % 1.33/1.55 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 1.33/1.55 (assume @p6 @t14) % 1.33/1.55 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t5 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 1.33/1.55 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 1.33/1.55 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t20)))) % 1.33/1.55 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 1.33/1.55 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 1.33/1.55 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.33/1.55 (assume @p13 @t24) % 1.33/1.55 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 1.33/1.55 (assume @p15 (forall @t3 (=> @t2 (=> @t32 (forall (@list @t4 @t15) (=> @t30 (=> (or @t29 @t28) @t25))))))) % 1.33/1.55 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t31 @t33))))) % 1.33/1.55 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t31 @t33))))) % 1.33/1.55 (assume @p18 (forall @t9 (=> @t8 (= @t36 (exists @t35 @t34))))) % 1.33/1.55 (assume @p19 (forall @t9 (=> @t8 (=> @t36 (forall @t35 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t34)))))) % 1.33/1.55 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.33/1.55 (assume @p21 (forall @t9 (=> @t8 (=> (and @t36 @t38) @t37)))) % 1.33/1.55 (assume @p22 (forall @t19 (=> @t18 (=> (and @t36 @t39) (tptp.sdtlseqdt0 @t1 @t15))))) % 1.33/1.55 (assume @p23 (forall @t9 (=> @t8 (or @t36 (and (not (= @t4 @t1)) @t38))))) % 1.33/1.55 (assume @p24 (forall @t9 (=> @t8 (=> @t41 (forall @t35 (=> @t17 (and (not (= @t26 @t40)) (tptp.sdtlseqdt0 @t26 @t40) (not (= @t27 @t16)) (tptp.sdtlseqdt0 @t27 @t16)))))))) % 1.33/1.55 (assume @p25 (forall @t19 (=> @t18 (=> (and @t32 (not @t25) @t39) (and (not @t29) (tptp.sdtlseqdt0 @t11 @t22) (not @t28) (tptp.sdtlseqdt0 @t20 @t21)))))) % 1.33/1.55 (assume @p26 (forall @t3 (=> @t2 (or @t31 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 1.33/1.55 (assume @p27 (forall @t9 (=> @t8 (=> @t32 (tptp.sdtlseqdt0 @t4 @t20))))) % 1.33/1.55 (assume @p28 (forall @t9 (=> @t8 (=> @t42 true)))) % 1.33/1.55 (assume @p29 (forall @t9 (=> @t8 (=> @t41 @t42)))) % 1.33/1.55 (assume @p30 @t49) % 1.33/1.55 (assume @p31 (forall @t9 (=> @t8 (=> (and @t32 @t46) (forall @t35 (= (= @t15 (tptp.sdtsldt0 @t4 @t1)) @t44)))))) % 1.33/1.55 (assume @p32 (forall @t19 (=> @t18 (=> (and @t46 (tptp.doDivides0 @t4 @t15)) (tptp.doDivides0 @t1 @t15))))) % 1.33/1.55 (assume @p33 (and @t52 @t51 @t50)) % 1.33/1.55 (assume @p34 (and @t54 @t53)) % 1.33/1.55 (assume @p35 (not @t56)) % 1.33/1.55 (assume @p36 true) % 1.33/1.55 (step @p37 :rule aci_norm :args ((= (or @t59 @t13) (or @t58 @t57 @t13)))) % 1.33/1.55 (step @p38 :rule refl :args (@t13)) % 1.33/1.55 (step @p39 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 1.33/1.55 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t60 @t13))) % 1.33/1.55 (step @p41 :rule trans :premises (@p40 @p37)) % 1.33/1.55 (step @p42 :rule bool-impl-elim :args (@t8 @t13)) % 1.33/1.55 (step @p43 :rule trans :premises (@p42 @p41)) % 1.33/1.55 (step @p44 :rule cong :premises (@p43) :args (@t14)) % 1.33/1.55 (step @p45 :rule eq_resolve :premises (@p6 @p44)) % 1.33/1.55 (step @p46 :rule instantiate :premises (@p45) :args (@t61)) % 1.33/1.55 (step @p47 :rule and_elim :premises (@p33) :args (2)) % 1.33/1.55 (step @p48 :rule and_elim :premises (@p33) :args (1)) % 1.33/1.55 (step @p49 :rule cnf_or_pos :args (@t66)) % 1.33/1.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t65 @t64 @t63 (not @t66)))) % 1.33/1.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p46) :args (@t63 @t67 @t68)) % 1.33/1.55 (step @p52 :rule aci_norm :args ((= (or @t59 @t70) (or @t58 @t57 @t70)))) % 1.33/1.55 (step @p53 :rule refl :args (@t70)) % 1.33/1.55 (step @p54 :rule nary_cong :premises (@p39 @p53) :args ((or @t60 @t70))) % 1.33/1.55 (step @p55 :rule trans :premises (@p54 @p52)) % 1.33/1.55 (step @p56 :rule bool-impl-elim :args (@t8 @t70)) % 1.33/1.55 (step @p57 :rule trans :premises (@p56 @p55)) % 1.33/1.55 (step @p58 :rule cong :premises (@p57) :args ((forall @t9 (=> @t8 @t70)))) % 1.33/1.55 (step @p59 :rule bool-and-de-morgan :args (@t17 @t43 true)) % 1.33/1.55 (step @p60 :rule cong :premises (@p59) :args (@t71)) % 1.33/1.55 (step @p61 :rule cong :premises (@p60) :args (@t72)) % 1.33/1.55 (step @p62 :rule exists-elim :args ((= @t45 @t72))) % 1.33/1.55 (step @p63 :rule trans :premises (@p62 @p61)) % 1.33/1.55 (step @p64 :rule refl :args (@t46)) % 1.33/1.55 (step @p65 :rule cong :premises (@p64 @p63) :args (@t47)) % 1.33/1.55 (step @p66 :rule refl :args (@t8)) % 1.33/1.55 (step @p67 :rule cong :premises (@p66 @p65) :args (@t48)) % 1.33/1.55 (step @p68 :rule cong :premises (@p67) :args (@t49)) % 1.33/1.55 (step @p69 :rule trans :premises (@p68 @p58)) % 1.33/1.55 (step @p70 :rule eq_resolve :premises (@p30 @p69)) % 1.33/1.55 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xl tptp.xm))) % 1.33/1.55 (step @p72 :rule and_elim :premises (@p33) :args (0)) % 1.33/1.55 (step @p73 :rule cnf_or_pos :args (@t78)) % 1.33/1.55 (step @p74 :rule reordering :premises (@p73) :args ((or @t77 @t65 @t76 (not @t78)))) % 1.33/1.55 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p48 @p71) :args (@t76 @t67 (@list @t52 @t51 @t78))) % 1.33/1.55 (step @p76 :rule and_elim :premises (@p34) :args (0)) % 1.33/1.55 (step @p77 :rule cnf_equiv_pos1 :args (@t76)) % 1.33/1.55 (step @p78 :rule reordering :premises (@p77) :args ((or (not @t54) @t75 (not @t76)))) % 1.33/1.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t75 @t79 (@list @t54 @t76))) % 1.33/1.55 (step @p80 :rule skolemize :premises (@p79)) % 1.33/1.55 (step @p81 :rule bool-double-not-elim :args (@t82)) % 1.33/1.55 (step @p82 :rule refl :args (@t86)) % 1.33/1.55 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t86 (not @t83)))) % 1.33/1.55 (step @p84 :rule cnf_or_neg :args (@t86 1)) % 1.33/1.55 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 1.33/1.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t82 @t86))) % 1.33/1.55 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t82 @t87 @t88)) % 1.33/1.55 (step @p88 :rule instantiate :premises (@p70) :args ((@list tptp.xl tptp.xn))) % 1.33/1.55 (step @p89 :rule cnf_or_pos :args (@t92)) % 1.33/1.55 (step @p90 :rule reordering :premises (@p89) :args ((or @t77 @t64 @t91 (not @t92)))) % 1.33/1.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p72 @p47 @p88) :args (@t91 @t67 (@list @t52 @t50 @t92))) % 1.33/1.55 (step @p92 :rule and_elim :premises (@p34) :args (1)) % 1.33/1.55 (step @p93 :rule cnf_equiv_pos1 :args (@t91)) % 1.33/1.55 (step @p94 :rule reordering :premises (@p93) :args ((or (not @t53) @t90 (not @t91)))) % 1.33/1.55 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91) :args (@t90 @t79 (@list @t53 @t91))) % 1.33/1.55 (step @p96 :rule skolemize :premises (@p95)) % 1.33/1.55 (step @p97 :rule bool-double-not-elim :args (@t95)) % 1.33/1.55 (step @p98 :rule refl :args (@t99)) % 1.33/1.55 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t99 (not @t96)))) % 1.33/1.55 (step @p100 :rule cnf_or_neg :args (@t99 1)) % 1.33/1.55 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 1.33/1.55 (step @p102 :rule reordering :premises (@p101) :args ((or @t95 @t99))) % 1.33/1.55 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t95 @t87 @t100)) % 1.33/1.55 (step @p104 :rule aci_norm :args ((= (or @t101 @t23) (or @t58 @t57 @t69 @t23)))) % 1.33/1.55 (step @p105 :rule refl :args (@t23)) % 1.33/1.55 (step @p106 :rule aci_norm :args ((= (or @t58 (or @t57 @t69)) @t101))) % 1.33/1.55 (step @p107 :rule bool-and-de-morgan :args (@t7 @t17 true)) % 1.33/1.55 (step @p108 :rule refl :args (@t58)) % 1.33/1.55 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t58 (not @t30)))) % 1.33/1.55 (step @p110 :rule bool-and-de-morgan :args (@t2 @t7 (and @t17))) % 1.33/1.55 (step @p111 :rule trans :premises (@p110 @p109)) % 1.33/1.55 (step @p112 :rule trans :premises (@p111 @p106)) % 1.33/1.55 (step @p113 :rule nary_cong :premises (@p112 @p105) :args ((or (not @t18) @t23))) % 1.33/1.55 (step @p114 :rule trans :premises (@p113 @p104)) % 1.33/1.55 (step @p115 :rule bool-impl-elim :args (@t18 @t23)) % 1.33/1.55 (step @p116 :rule trans :premises (@p115 @p114)) % 1.33/1.55 (step @p117 :rule cong :premises (@p116) :args (@t24)) % 1.33/1.55 (step @p118 :rule eq_resolve :premises (@p13 @p117)) % 1.33/1.55 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.xl @t93 @t80))) % 1.33/1.55 (step @p120 :rule bool-double-not-elim :args (@t97)) % 1.33/1.55 (step @p121 :rule nary_cong :premises (@p98 @p120) :args ((or @t99 (not @t98)))) % 1.33/1.55 (step @p122 :rule cnf_or_neg :args (@t99 0)) % 1.33/1.55 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 1.33/1.55 (step @p124 :rule reordering :premises (@p123) :args ((or @t97 @t99))) % 1.33/1.55 (step @p125 :rule chain_m_resolution :premises (@p124 @p96) :args (@t97 @t87 @t100)) % 1.33/1.55 (step @p126 :rule bool-double-not-elim :args (@t84)) % 1.33/1.55 (step @p127 :rule nary_cong :premises (@p82 @p126) :args ((or @t86 (not @t85)))) % 1.33/1.55 (step @p128 :rule cnf_or_neg :args (@t86 0)) % 1.33/1.55 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 1.33/1.55 (step @p130 :rule reordering :premises (@p129) :args ((or @t84 @t86))) % 1.33/1.55 (step @p131 :rule chain_m_resolution :premises (@p130 @p80) :args (@t84 @t87 @t88)) % 1.33/1.55 (step @p132 :rule cnf_or_pos :args (@t106)) % 1.33/1.55 (step @p133 :rule reordering :premises (@p132) :args ((or @t77 @t85 @t98 @t105 (not @t106)))) % 1.33/1.55 (step @p134 :rule chain_m_resolution :premises (@p133 @p72 @p131 @p125 @p119) :args (@t105 (@list false false false false) (@list @t52 @t84 @t97 @t106))) % 1.33/1.55 (step @p135 :rule cnf_and_pos :args (@t105 0)) % 1.33/1.55 (step @p136 :rule reordering :premises (@p135) :args ((or @t104 (not @t105)))) % 1.33/1.55 (step @p137 :rule chain_m_resolution :premises (@p136 @p134) :args (@t104 (@list false) (@list @t105))) % 1.33/1.55 (step @p138 :rule instantiate :premises (@p70) :args ((@list tptp.xl @t55))) % 1.33/1.55 (step @p139 :rule aci_norm :args ((= (or @t59 @t6) (or @t58 @t57 @t6)))) % 1.33/1.55 (step @p140 :rule refl :args (@t6)) % 1.33/1.55 (step @p141 :rule nary_cong :premises (@p39 @p140) :args ((or @t60 @t6))) % 1.33/1.55 (step @p142 :rule trans :premises (@p141 @p139)) % 1.33/1.55 (step @p143 :rule bool-impl-elim :args (@t8 @t6)) % 1.33/1.55 (step @p144 :rule trans :premises (@p143 @p142)) % 1.33/1.55 (step @p145 :rule cong :premises (@p144) :args (@t10)) % 1.33/1.55 (step @p146 :rule eq_resolve :premises (@p4 @p145)) % 1.33/1.55 (step @p147 :rule instantiate :premises (@p146) :args (@t61)) % 1.33/1.55 (step @p148 :rule cnf_or_pos :args (@t108)) % 1.33/1.55 (step @p149 :rule reordering :premises (@p148) :args ((or @t65 @t64 @t107 (not @t108)))) % 1.33/1.55 (step @p150 :rule chain_m_resolution :premises (@p149 @p48 @p47 @p147) :args (@t107 @t67 (@list @t51 @t50 @t108))) % 1.33/1.55 (step @p151 :rule cnf_or_pos :args (@t113)) % 1.33/1.55 (step @p152 :rule reordering :premises (@p151) :args ((or @t77 @t112 @t111 (not @t113)))) % 1.33/1.55 (step @p153 :rule chain_m_resolution :premises (@p152 @p72 @p150 @p138) :args (@t111 @t67 (@list @t52 @t107 @t113))) % 1.33/1.55 (step @p154 :rule bool-double-not-elim :args (@t109)) % 1.33/1.55 (step @p155 :rule refl :args (@t56)) % 1.33/1.55 (step @p156 :rule refl :args (@t114)) % 1.33/1.55 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args ((or @t114 @t56 (not @t110)))) % 1.33/1.55 (step @p158 :rule cnf_equiv_pos2 :args (@t111)) % 1.33/1.55 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 1.33/1.55 (step @p160 :rule reordering :premises (@p159) :args ((or @t56 @t109 @t114))) % 1.33/1.55 (step @p161 :rule chain_m_resolution :premises (@p160 @p35 @p153) :args (@t109 (@list true false) (@list @t56 @t111))) % 1.33/1.55 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t102))) % 1.33/1.56 (step @p163 :rule instantiate :premises (@p146) :args ((@list @t93 @t80))) % 1.33/1.56 (step @p164 :rule cnf_or_pos :args (@t116)) % 1.33/1.56 (step @p165 :rule reordering :premises (@p164) :args ((or @t85 @t98 @t115 (not @t116)))) % 1.33/1.56 (step @p166 :rule chain_m_resolution :premises (@p165 @p131 @p125 @p163) :args (@t115 @t67 (@list @t84 @t97 @t116))) % 1.33/1.56 (step @p167 :rule cnf_or_pos :args (@t120)) % 1.33/1.56 (step @p168 :rule reordering :premises (@p167) :args ((or @t119 @t118 (not @t120)))) % 1.33/1.56 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p162) :args (@t118 @t79 (@list @t115 @t120))) % 1.33/1.56 (step @p170 :rule bool-double-not-elim :args (@t117)) % 1.33/1.56 (step @p171 :rule refl :args (@t121)) % 1.33/1.56 (step @p172 :rule refl :args (@t96)) % 1.33/1.56 (step @p173 :rule refl :args (@t83)) % 1.33/1.56 (step @p174 :rule refl :args (@t122)) % 1.33/1.56 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172 @p171 @p170) :args ((or @t122 @t83 @t96 @t121 (not @t118)))) % 1.33/1.56 (assume-push @p209 @t117) % 1.33/1.56 (assume-push @p210 @t118) % 1.33/1.56 (step @p178 :rule evaluate :args ((= true false))) % 1.33/1.56 (step @p179 :rule false_intro :premises (@p169)) % 1.33/1.56 (step @p180 :rule symm :premises (@p137)) % 1.33/1.56 (step @p181 :rule cong :premises (@p103 @p87) :args (@t62)) % 1.33/1.56 (step @p182 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p46) :args (@t63 @t67 @t68)) % 1.33/1.56 (step @p183 :rule trans :premises (@p182 @p181 @p180)) % 1.33/1.56 (step @p184 :rule true_intro :premises (@p183)) % 1.33/1.56 (step @p185 :rule symm :premises (@p184)) % 1.33/1.56 (step @p186 :rule trans :premises (@p185 @p179)) % 1.33/1.56 (step @p187 false :rule eq_resolve :premises (@p186 @p178)) % 1.33/1.56 (step-pop @p211 :rule scope :premises (@p187)) % 1.33/1.56 (step-pop @p212 :rule scope :premises (@p211)) % 1.33/1.56 (step @p188 :rule process_scope :premises (@p212) :args (false)) % 1.33/1.56 (assume-push @p213 @t63) % 1.33/1.56 (assume-push @p214 @t82) % 1.33/1.56 (assume-push @p215 @t95) % 1.33/1.56 (assume-push @p216 @t104) % 1.33/1.56 (assume-push @p217 @t118) % 1.33/1.56 (step @p180 :rule symm :premises (@p137)) % 1.33/1.56 (step @p181 :rule cong :premises (@p103 @p87) :args (@t62)) % 1.33/1.56 (step @p196 :rule trans :premises (@p51 @p181 @p180)) % 1.33/1.56 (step @p197 :rule and_intro :premises (@p196 @p169)) % 1.33/1.56 (step-pop @p218 :rule scope :premises (@p197)) % 1.33/1.56 (step-pop @p219 :rule scope :premises (@p218)) % 1.33/1.56 (step-pop @p220 :rule scope :premises (@p219)) % 1.33/1.56 (step-pop @p221 :rule scope :premises (@p220)) % 1.33/1.56 (step-pop @p222 :rule scope :premises (@p221)) % 1.33/1.56 (step @p198 :rule process_scope :premises (@p222) :args (@t123)) % 1.33/1.56 (step @p204 :rule implies_elim :premises (@p198)) % 1.33/1.56 (step @p205 :rule resolution :premises (@p204 @p188) :args (true @t123)) % 1.33/1.56 (step @p206 :rule not_and :premises (@p205)) % 1.33/1.56 (step @p207 :rule eq_resolve :premises (@p206 @p175)) % 1.33/1.56 (step @p208 false :rule chain_m_resolution :premises (@p207 @p169 @p137 @p103 @p87 @p51) :args (false (@list true false false false false) (@list @t117 @t104 @t95 @t82 @t63))) % 1.33/1.56 ) % 1.33/1.56 % SZS output end Proof % 1.33/1.56 % cvc5 exiting %------------------------------------------------------------------------------