%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM469+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 : n002.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 0.62s 0.87s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM469+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 % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:22:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.87 % SZS status Theorem % 0.62/0.87 % SZS output start Proof % 0.62/0.87 ( % 0.62/0.87 (declare-sort $$unsorted 0) % 0.62/0.87 (declare-const tptp.xl $$unsorted) % 0.62/0.87 (declare-const tptp.xm $$unsorted) % 0.62/0.87 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.sz10 $$unsorted) % 0.62/0.87 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.62/0.87 (declare-const tptp.sz00 $$unsorted) % 0.62/0.87 (declare-const tptp.xn $$unsorted) % 0.62/0.87 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.62/0.87 (define @t1 () (@var "W0" $$unsorted)) % 0.62/0.87 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.62/0.87 (define @t3 () (@list @t1)) % 0.62/0.87 (define @t4 () (@var "W1" $$unsorted)) % 0.62/0.87 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.62/0.87 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 0.62/0.87 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 0.62/0.87 (define @t8 () (and @t2 @t7)) % 0.62/0.87 (define @t9 () (@list @t1 @t4)) % 0.62/0.87 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.62/0.87 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 0.62/0.87 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.62/0.87 (define @t13 () (= @t5 @t12)) % 0.62/0.87 (define @t14 () (forall @t9 (=> @t8 @t13))) % 0.62/0.87 (define @t15 () (@var "W2" $$unsorted)) % 0.62/0.87 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 0.62/0.87 (define @t17 () (tptp.aNaturalNumber0 @t15)) % 0.62/0.87 (define @t18 () (and @t2 @t7 @t17)) % 0.62/0.87 (define @t19 () (@list @t1 @t4 @t15)) % 0.62/0.87 (define @t20 () (tptp.sdtasdt0 @t4 @t1)) % 0.62/0.87 (define @t21 () (tptp.sdtasdt0 @t15 @t1)) % 0.62/0.87 (define @t22 () (tptp.sdtasdt0 @t1 @t15)) % 0.62/0.87 (define @t23 () (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t22)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t20 @t21)))) % 0.62/0.87 (define @t24 () (forall @t19 (=> @t18 @t23))) % 0.62/0.87 (define @t25 () (= @t4 @t15)) % 0.62/0.87 (define @t26 () (tptp.sdtpldt0 @t15 @t1)) % 0.62/0.87 (define @t27 () (tptp.sdtpldt0 @t1 @t15)) % 0.62/0.87 (define @t28 () (= @t20 @t21)) % 0.62/0.87 (define @t29 () (= @t11 @t22)) % 0.62/0.87 (define @t30 () (and @t7 @t17)) % 0.62/0.87 (define @t31 () (= @t1 tptp.sz00)) % 0.62/0.87 (define @t32 () (not @t31)) % 0.62/0.87 (define @t33 () (= @t4 tptp.sz00)) % 0.62/0.87 (define @t34 () (and @t17 (= @t27 @t4))) % 0.62/0.87 (define @t35 () (@list @t15)) % 0.62/0.87 (define @t36 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.62/0.87 (define @t37 () (= @t1 @t4)) % 0.62/0.87 (define @t38 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.62/0.87 (define @t39 () (tptp.sdtlseqdt0 @t4 @t15)) % 0.62/0.87 (define @t40 () (tptp.sdtpldt0 @t15 @t4)) % 0.62/0.87 (define @t41 () (and (not @t37) @t36)) % 0.62/0.87 (define @t42 () (tptp.iLess0 @t1 @t4)) % 0.62/0.87 (define @t43 () (= @t4 @t22)) % 0.62/0.87 (define @t44 () (and @t17 @t43)) % 0.62/0.87 (define @t45 () (exists @t35 @t44)) % 0.62/0.87 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 0.62/0.87 (define @t47 () (= @t46 @t45)) % 0.62/0.87 (define @t48 () (=> @t8 @t47)) % 0.62/0.87 (define @t49 () (forall @t9 @t48)) % 0.62/0.87 (define @t50 () (tptp.aNaturalNumber0 tptp.xn)) % 0.62/0.87 (define @t51 () (tptp.aNaturalNumber0 tptp.xm)) % 0.62/0.87 (define @t52 () (tptp.aNaturalNumber0 tptp.xl)) % 0.62/0.87 (define @t53 () (tptp.doDivides0 tptp.xl tptp.xn)) % 0.62/0.87 (define @t54 () (tptp.doDivides0 tptp.xl tptp.xm)) % 0.62/0.87 (define @t55 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.62/0.87 (define @t56 () (tptp.doDivides0 tptp.xl @t55)) % 0.62/0.87 (define @t57 () (not @t7)) % 0.62/0.87 (define @t58 () (not @t2)) % 0.62/0.87 (define @t59 () (or @t58 @t57)) % 0.62/0.87 (define @t60 () (not @t8)) % 0.62/0.87 (define @t61 () (@list tptp.xm tptp.xn)) % 0.62/0.87 (define @t62 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.62/0.87 (define @t63 () (= @t55 @t62)) % 0.62/0.87 (define @t64 () (not @t50)) % 0.62/0.87 (define @t65 () (not @t51)) % 0.62/0.87 (define @t66 () (or @t65 @t64 @t63)) % 0.62/0.87 (define @t67 () (@list false false false)) % 0.62/0.87 (define @t68 () (@list @t51 @t50 @t66)) % 0.62/0.87 (define @t69 () (not @t17)) % 0.62/0.87 (define @t70 () (= @t46 (not (forall @t35 (or @t69 (not @t43)))))) % 0.62/0.87 (define @t71 () (forall @t35 (not @t44))) % 0.62/0.87 (define @t72 () (not @t71)) % 0.62/0.87 (define @t73 () (tptp.sdtasdt0 tptp.xl @t15)) % 0.62/0.87 (define @t74 () (forall @t35 (or @t69 (not (= tptp.xm @t73))))) % 0.62/0.87 (define @t75 () (not @t74)) % 0.62/0.87 (define @t76 () (= @t54 @t75)) % 0.62/0.87 (define @t77 () (not @t52)) % 0.62/0.87 (define @t78 () (or @t77 @t65 @t76)) % 0.62/0.87 (define @t79 () (@list false false)) % 0.62/0.87 (define @t80 () (@quantifiers_skolemize @t74 0)) % 0.62/0.87 (define @t81 () (tptp.sdtasdt0 tptp.xl @t80)) % 0.62/0.87 (define @t82 () (= tptp.xm @t81)) % 0.62/0.87 (define @t83 () (not @t82)) % 0.62/0.87 (define @t84 () (tptp.aNaturalNumber0 @t80)) % 0.62/0.87 (define @t85 () (not @t84)) % 0.62/0.87 (define @t86 () (or @t85 @t83)) % 0.62/0.87 (define @t87 () (@list true)) % 0.62/0.87 (define @t88 () (@list @t86)) % 0.62/0.87 (define @t89 () (forall @t35 (or @t69 (not (= tptp.xn @t73))))) % 0.62/0.87 (define @t90 () (not @t89)) % 0.62/0.87 (define @t91 () (= @t53 @t90)) % 0.62/0.87 (define @t92 () (or @t77 @t64 @t91)) % 0.62/0.87 (define @t93 () (@quantifiers_skolemize @t89 0)) % 0.62/0.87 (define @t94 () (tptp.sdtasdt0 tptp.xl @t93)) % 0.62/0.87 (define @t95 () (= tptp.xn @t94)) % 0.62/0.87 (define @t96 () (not @t95)) % 0.62/0.87 (define @t97 () (tptp.aNaturalNumber0 @t93)) % 0.62/0.87 (define @t98 () (not @t97)) % 0.62/0.87 (define @t99 () (or @t98 @t96)) % 0.62/0.87 (define @t100 () (@list @t99)) % 0.62/0.87 (define @t101 () (or @t58 @t57 @t69)) % 0.62/0.87 (define @t102 () (tptp.sdtpldt0 @t93 @t80)) % 0.62/0.87 (define @t103 () (tptp.sdtasdt0 tptp.xl @t102)) % 0.62/0.87 (define @t104 () (= @t103 (tptp.sdtpldt0 @t94 @t81))) % 0.62/0.87 (define @t105 () (and @t104 (= (tptp.sdtasdt0 @t102 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 @t93 tptp.xl) (tptp.sdtasdt0 @t80 tptp.xl))))) % 0.62/0.87 (define @t106 () (or @t77 @t98 @t85 @t105)) % 0.62/0.87 (define @t107 () (tptp.aNaturalNumber0 @t55)) % 0.62/0.87 (define @t108 () (or @t65 @t64 @t107)) % 0.62/0.87 (define @t109 () (forall @t35 (or @t69 (not (= @t55 @t73))))) % 0.62/0.87 (define @t110 () (not @t109)) % 0.62/0.87 (define @t111 () (= @t56 @t110)) % 0.62/0.87 (define @t112 () (not @t107)) % 0.62/0.87 (define @t113 () (or @t77 @t112 @t111)) % 0.62/0.87 (define @t114 () (not @t111)) % 0.62/0.87 (define @t115 () (tptp.aNaturalNumber0 @t102)) % 0.62/0.87 (define @t116 () (or @t98 @t85 @t115)) % 0.62/0.87 (define @t117 () (= @t55 @t103)) % 0.62/0.87 (define @t118 () (not @t117)) % 0.62/0.87 (define @t119 () (not @t115)) % 0.62/0.87 (define @t120 () (or @t119 @t118)) % 0.62/0.87 (define @t121 () (not @t104)) % 0.62/0.87 (define @t122 () (not @t63)) % 0.62/0.87 (define @t123 () (and @t117 @t118)) % 0.62/0.87 (assume @p1 (forall @t3 (=> @t2 true))) % 0.62/0.87 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.62/0.87 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.62/0.87 (assume @p4 @t10) % 0.62/0.87 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 0.62/0.87 (assume @p6 @t14) % 0.62/0.87 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t5 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 0.62/0.87 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.62/0.87 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t20)))) % 0.62/0.87 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 0.62/0.87 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.62/0.87 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.62/0.87 (assume @p13 @t24) % 0.62/0.87 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 0.62/0.87 (assume @p15 (forall @t3 (=> @t2 (=> @t32 (forall (@list @t4 @t15) (=> @t30 (=> (or @t29 @t28) @t25))))))) % 0.62/0.87 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t31 @t33))))) % 0.62/0.87 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t31 @t33))))) % 0.62/0.87 (assume @p18 (forall @t9 (=> @t8 (= @t36 (exists @t35 @t34))))) % 0.62/0.87 (assume @p19 (forall @t9 (=> @t8 (=> @t36 (forall @t35 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t34)))))) % 0.62/0.87 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.62/0.87 (assume @p21 (forall @t9 (=> @t8 (=> (and @t36 @t38) @t37)))) % 0.62/0.87 (assume @p22 (forall @t19 (=> @t18 (=> (and @t36 @t39) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.62/0.87 (assume @p23 (forall @t9 (=> @t8 (or @t36 (and (not (= @t4 @t1)) @t38))))) % 0.62/0.87 (assume @p24 (forall @t9 (=> @t8 (=> @t41 (forall @t35 (=> @t17 (and (not (= @t26 @t40)) (tptp.sdtlseqdt0 @t26 @t40) (not (= @t27 @t16)) (tptp.sdtlseqdt0 @t27 @t16)))))))) % 0.62/0.87 (assume @p25 (forall @t19 (=> @t18 (=> (and @t32 (not @t25) @t39) (and (not @t29) (tptp.sdtlseqdt0 @t11 @t22) (not @t28) (tptp.sdtlseqdt0 @t20 @t21)))))) % 0.62/0.87 (assume @p26 (forall @t3 (=> @t2 (or @t31 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.62/0.87 (assume @p27 (forall @t9 (=> @t8 (=> @t32 (tptp.sdtlseqdt0 @t4 @t20))))) % 0.62/0.87 (assume @p28 (forall @t9 (=> @t8 (=> @t42 true)))) % 0.62/0.87 (assume @p29 (forall @t9 (=> @t8 (=> @t41 @t42)))) % 0.62/0.87 (assume @p30 @t49) % 0.62/0.87 (assume @p31 (forall @t9 (=> @t8 (=> (and @t32 @t46) (forall @t35 (= (= @t15 (tptp.sdtsldt0 @t4 @t1)) @t44)))))) % 0.62/0.87 (assume @p32 (forall @t19 (=> @t18 (=> (and @t46 (tptp.doDivides0 @t4 @t15)) (tptp.doDivides0 @t1 @t15))))) % 0.62/0.87 (assume @p33 (and @t52 @t51 @t50)) % 0.62/0.87 (assume @p34 (and @t54 @t53)) % 0.62/0.87 (assume @p35 (=> (not (= tptp.xl tptp.sz00)) (= @t55 (tptp.sdtasdt0 tptp.xl (tptp.sdtpldt0 (tptp.sdtsldt0 tptp.xm tptp.xl) (tptp.sdtsldt0 tptp.xn tptp.xl)))))) % 0.62/0.87 (assume @p36 (not @t56)) % 0.62/0.87 (assume @p37 true) % 0.62/0.87 (step @p38 :rule aci_norm :args ((= (or @t59 @t13) (or @t58 @t57 @t13)))) % 0.62/0.87 (step @p39 :rule refl :args (@t13)) % 0.62/0.87 (step @p40 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.62/0.87 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t60 @t13))) % 0.62/0.87 (step @p42 :rule trans :premises (@p41 @p38)) % 0.62/0.87 (step @p43 :rule bool-impl-elim :args (@t8 @t13)) % 0.62/0.87 (step @p44 :rule trans :premises (@p43 @p42)) % 0.62/0.87 (step @p45 :rule cong :premises (@p44) :args (@t14)) % 0.62/0.87 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.62/0.87 (step @p47 :rule instantiate :premises (@p46) :args (@t61)) % 0.62/0.87 (step @p48 :rule and_elim :premises (@p33) :args (2)) % 0.62/0.87 (step @p49 :rule and_elim :premises (@p33) :args (1)) % 0.62/0.87 (step @p50 :rule cnf_or_pos :args (@t66)) % 0.62/0.87 (step @p51 :rule reordering :premises (@p50) :args ((or @t65 @t64 @t63 (not @t66)))) % 0.62/0.87 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48 @p47) :args (@t63 @t67 @t68)) % 0.62/0.87 (step @p53 :rule aci_norm :args ((= (or @t59 @t70) (or @t58 @t57 @t70)))) % 0.62/0.87 (step @p54 :rule refl :args (@t70)) % 0.62/0.87 (step @p55 :rule nary_cong :premises (@p40 @p54) :args ((or @t60 @t70))) % 0.62/0.87 (step @p56 :rule trans :premises (@p55 @p53)) % 0.62/0.87 (step @p57 :rule bool-impl-elim :args (@t8 @t70)) % 0.62/0.87 (step @p58 :rule trans :premises (@p57 @p56)) % 0.62/0.87 (step @p59 :rule cong :premises (@p58) :args ((forall @t9 (=> @t8 @t70)))) % 0.62/0.87 (step @p60 :rule bool-and-de-morgan :args (@t17 @t43 true)) % 0.62/0.87 (step @p61 :rule cong :premises (@p60) :args (@t71)) % 0.62/0.87 (step @p62 :rule cong :premises (@p61) :args (@t72)) % 0.62/0.87 (step @p63 :rule exists-elim :args ((= @t45 @t72))) % 0.62/0.87 (step @p64 :rule trans :premises (@p63 @p62)) % 0.62/0.87 (step @p65 :rule refl :args (@t46)) % 0.62/0.87 (step @p66 :rule cong :premises (@p65 @p64) :args (@t47)) % 0.62/0.87 (step @p67 :rule refl :args (@t8)) % 0.62/0.87 (step @p68 :rule cong :premises (@p67 @p66) :args (@t48)) % 0.62/0.87 (step @p69 :rule cong :premises (@p68) :args (@t49)) % 0.62/0.87 (step @p70 :rule trans :premises (@p69 @p59)) % 0.62/0.87 (step @p71 :rule eq_resolve :premises (@p30 @p70)) % 0.62/0.87 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.xl tptp.xm))) % 0.62/0.87 (step @p73 :rule and_elim :premises (@p33) :args (0)) % 0.62/0.87 (step @p74 :rule cnf_or_pos :args (@t78)) % 0.62/0.87 (step @p75 :rule reordering :premises (@p74) :args ((or @t77 @t65 @t76 (not @t78)))) % 0.62/0.87 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p49 @p72) :args (@t76 @t67 (@list @t52 @t51 @t78))) % 0.62/0.87 (step @p77 :rule and_elim :premises (@p34) :args (0)) % 0.62/0.87 (step @p78 :rule cnf_equiv_pos1 :args (@t76)) % 0.62/0.87 (step @p79 :rule reordering :premises (@p78) :args ((or (not @t54) @t75 (not @t76)))) % 0.62/0.87 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p76) :args (@t75 @t79 (@list @t54 @t76))) % 0.62/0.87 (step @p81 :rule skolemize :premises (@p80)) % 0.62/0.87 (step @p82 :rule bool-double-not-elim :args (@t82)) % 0.62/0.87 (step @p83 :rule refl :args (@t86)) % 0.62/0.87 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t86 (not @t83)))) % 0.62/0.87 (step @p85 :rule cnf_or_neg :args (@t86 1)) % 0.62/0.87 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.62/0.87 (step @p87 :rule reordering :premises (@p86) :args ((or @t82 @t86))) % 0.62/0.87 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t82 @t87 @t88)) % 0.62/0.87 (step @p89 :rule instantiate :premises (@p71) :args ((@list tptp.xl tptp.xn))) % 0.62/0.87 (step @p90 :rule cnf_or_pos :args (@t92)) % 0.62/0.87 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t64 @t91 (not @t92)))) % 0.62/0.87 (step @p92 :rule chain_m_resolution :premises (@p91 @p73 @p48 @p89) :args (@t91 @t67 (@list @t52 @t50 @t92))) % 0.62/0.87 (step @p93 :rule and_elim :premises (@p34) :args (1)) % 0.62/0.87 (step @p94 :rule cnf_equiv_pos1 :args (@t91)) % 0.62/0.87 (step @p95 :rule reordering :premises (@p94) :args ((or (not @t53) @t90 (not @t91)))) % 0.62/0.87 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p92) :args (@t90 @t79 (@list @t53 @t91))) % 0.62/0.87 (step @p97 :rule skolemize :premises (@p96)) % 0.62/0.87 (step @p98 :rule bool-double-not-elim :args (@t95)) % 0.62/0.87 (step @p99 :rule refl :args (@t99)) % 0.62/0.87 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t99 (not @t96)))) % 0.62/0.87 (step @p101 :rule cnf_or_neg :args (@t99 1)) % 0.62/0.87 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.62/0.87 (step @p103 :rule reordering :premises (@p102) :args ((or @t95 @t99))) % 0.62/0.87 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t95 @t87 @t100)) % 0.62/0.87 (step @p105 :rule aci_norm :args ((= (or @t101 @t23) (or @t58 @t57 @t69 @t23)))) % 0.62/0.87 (step @p106 :rule refl :args (@t23)) % 0.62/0.87 (step @p107 :rule aci_norm :args ((= (or @t58 (or @t57 @t69)) @t101))) % 0.62/0.87 (step @p108 :rule bool-and-de-morgan :args (@t7 @t17 true)) % 0.62/0.87 (step @p109 :rule refl :args (@t58)) % 0.62/0.87 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t58 (not @t30)))) % 0.62/0.87 (step @p111 :rule bool-and-de-morgan :args (@t2 @t7 (and @t17))) % 0.62/0.87 (step @p112 :rule trans :premises (@p111 @p110)) % 0.62/0.87 (step @p113 :rule trans :premises (@p112 @p107)) % 0.62/0.87 (step @p114 :rule nary_cong :premises (@p113 @p106) :args ((or (not @t18) @t23))) % 0.62/0.87 (step @p115 :rule trans :premises (@p114 @p105)) % 0.62/0.87 (step @p116 :rule bool-impl-elim :args (@t18 @t23)) % 0.62/0.87 (step @p117 :rule trans :premises (@p116 @p115)) % 0.62/0.87 (step @p118 :rule cong :premises (@p117) :args (@t24)) % 0.62/0.87 (step @p119 :rule eq_resolve :premises (@p13 @p118)) % 0.62/0.87 (step @p120 :rule instantiate :premises (@p119) :args ((@list tptp.xl @t93 @t80))) % 0.62/0.87 (step @p121 :rule bool-double-not-elim :args (@t97)) % 0.62/0.87 (step @p122 :rule nary_cong :premises (@p99 @p121) :args ((or @t99 (not @t98)))) % 0.62/0.87 (step @p123 :rule cnf_or_neg :args (@t99 0)) % 0.62/0.87 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.62/0.87 (step @p125 :rule reordering :premises (@p124) :args ((or @t97 @t99))) % 0.62/0.87 (step @p126 :rule chain_m_resolution :premises (@p125 @p97) :args (@t97 @t87 @t100)) % 0.62/0.87 (step @p127 :rule bool-double-not-elim :args (@t84)) % 0.62/0.87 (step @p128 :rule nary_cong :premises (@p83 @p127) :args ((or @t86 (not @t85)))) % 0.62/0.87 (step @p129 :rule cnf_or_neg :args (@t86 0)) % 0.62/0.87 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.62/0.87 (step @p131 :rule reordering :premises (@p130) :args ((or @t84 @t86))) % 0.62/0.87 (step @p132 :rule chain_m_resolution :premises (@p131 @p81) :args (@t84 @t87 @t88)) % 0.62/0.87 (step @p133 :rule cnf_or_pos :args (@t106)) % 0.62/0.87 (step @p134 :rule reordering :premises (@p133) :args ((or @t77 @t85 @t98 @t105 (not @t106)))) % 0.62/0.87 (step @p135 :rule chain_m_resolution :premises (@p134 @p73 @p132 @p126 @p120) :args (@t105 (@list false false false false) (@list @t52 @t84 @t97 @t106))) % 0.62/0.87 (step @p136 :rule cnf_and_pos :args (@t105 0)) % 0.62/0.87 (step @p137 :rule reordering :premises (@p136) :args ((or @t104 (not @t105)))) % 0.62/0.87 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t104 (@list false) (@list @t105))) % 0.62/0.87 (step @p139 :rule instantiate :premises (@p71) :args ((@list tptp.xl @t55))) % 0.62/0.87 (step @p140 :rule aci_norm :args ((= (or @t59 @t6) (or @t58 @t57 @t6)))) % 0.62/0.87 (step @p141 :rule refl :args (@t6)) % 0.62/0.87 (step @p142 :rule nary_cong :premises (@p40 @p141) :args ((or @t60 @t6))) % 0.62/0.87 (step @p143 :rule trans :premises (@p142 @p140)) % 0.62/0.87 (step @p144 :rule bool-impl-elim :args (@t8 @t6)) % 0.62/0.87 (step @p145 :rule trans :premises (@p144 @p143)) % 0.62/0.87 (step @p146 :rule cong :premises (@p145) :args (@t10)) % 0.62/0.87 (step @p147 :rule eq_resolve :premises (@p4 @p146)) % 0.62/0.87 (step @p148 :rule instantiate :premises (@p147) :args (@t61)) % 0.62/0.87 (step @p149 :rule cnf_or_pos :args (@t108)) % 0.62/0.87 (step @p150 :rule reordering :premises (@p149) :args ((or @t65 @t64 @t107 (not @t108)))) % 0.62/0.87 (step @p151 :rule chain_m_resolution :premises (@p150 @p49 @p48 @p148) :args (@t107 @t67 (@list @t51 @t50 @t108))) % 0.62/0.87 (step @p152 :rule cnf_or_pos :args (@t113)) % 0.62/0.87 (step @p153 :rule reordering :premises (@p152) :args ((or @t77 @t112 @t111 (not @t113)))) % 0.62/0.87 (step @p154 :rule chain_m_resolution :premises (@p153 @p73 @p151 @p139) :args (@t111 @t67 (@list @t52 @t107 @t113))) % 0.62/0.87 (step @p155 :rule bool-double-not-elim :args (@t109)) % 0.62/0.87 (step @p156 :rule refl :args (@t56)) % 0.62/0.87 (step @p157 :rule refl :args (@t114)) % 0.62/0.87 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args ((or @t114 @t56 (not @t110)))) % 0.62/0.87 (step @p159 :rule cnf_equiv_pos2 :args (@t111)) % 0.62/0.87 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.62/0.87 (step @p161 :rule reordering :premises (@p160) :args ((or @t56 @t109 @t114))) % 0.62/0.87 (step @p162 :rule chain_m_resolution :premises (@p161 @p36 @p154) :args (@t109 (@list true false) (@list @t56 @t111))) % 0.62/0.87 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t102))) % 0.62/0.87 (step @p164 :rule instantiate :premises (@p147) :args ((@list @t93 @t80))) % 0.62/0.87 (step @p165 :rule cnf_or_pos :args (@t116)) % 0.62/0.87 (step @p166 :rule reordering :premises (@p165) :args ((or @t85 @t98 @t115 (not @t116)))) % 0.62/0.87 (step @p167 :rule chain_m_resolution :premises (@p166 @p132 @p126 @p164) :args (@t115 @t67 (@list @t84 @t97 @t116))) % 0.62/0.87 (step @p168 :rule cnf_or_pos :args (@t120)) % 0.62/0.87 (step @p169 :rule reordering :premises (@p168) :args ((or @t119 @t118 (not @t120)))) % 0.62/0.87 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p163) :args (@t118 @t79 (@list @t115 @t120))) % 0.62/0.87 (step @p171 :rule bool-double-not-elim :args (@t117)) % 0.62/0.87 (step @p172 :rule refl :args (@t121)) % 0.62/0.87 (step @p173 :rule refl :args (@t96)) % 0.62/0.87 (step @p174 :rule refl :args (@t83)) % 0.62/0.87 (step @p175 :rule refl :args (@t122)) % 0.62/0.87 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172 @p171) :args ((or @t122 @t83 @t96 @t121 (not @t118)))) % 0.62/0.87 (assume-push @p210 @t117) % 0.62/0.87 (assume-push @p211 @t118) % 0.62/0.87 (step @p179 :rule evaluate :args ((= true false))) % 0.62/0.87 (step @p180 :rule false_intro :premises (@p170)) % 0.62/0.87 (step @p181 :rule symm :premises (@p138)) % 0.62/0.87 (step @p182 :rule cong :premises (@p104 @p88) :args (@t62)) % 0.62/0.87 (step @p183 :rule chain_m_resolution :premises (@p51 @p49 @p48 @p47) :args (@t63 @t67 @t68)) % 0.62/0.87 (step @p184 :rule trans :premises (@p183 @p182 @p181)) % 0.62/0.87 (step @p185 :rule true_intro :premises (@p184)) % 0.62/0.87 (step @p186 :rule symm :premises (@p185)) % 0.62/0.87 (step @p187 :rule trans :premises (@p186 @p180)) % 0.62/0.87 (step @p188 false :rule eq_resolve :premises (@p187 @p179)) % 0.62/0.87 (step-pop @p212 :rule scope :premises (@p188)) % 0.62/0.87 (step-pop @p213 :rule scope :premises (@p212)) % 0.62/0.87 (step @p189 :rule process_scope :premises (@p213) :args (false)) % 0.62/0.87 (assume-push @p214 @t63) % 0.62/0.87 (assume-push @p215 @t82) % 0.62/0.87 (assume-push @p216 @t95) % 0.62/0.87 (assume-push @p217 @t104) % 0.62/0.87 (assume-push @p218 @t118) % 0.62/0.87 (step @p181 :rule symm :premises (@p138)) % 0.62/0.87 (step @p182 :rule cong :premises (@p104 @p88) :args (@t62)) % 0.62/0.87 (step @p197 :rule trans :premises (@p52 @p182 @p181)) % 0.62/0.87 (step @p198 :rule and_intro :premises (@p197 @p170)) % 0.62/0.87 (step-pop @p219 :rule scope :premises (@p198)) % 0.62/0.87 (step-pop @p220 :rule scope :premises (@p219)) % 0.62/0.87 (step-pop @p221 :rule scope :premises (@p220)) % 0.62/0.87 (step-pop @p222 :rule scope :premises (@p221)) % 0.62/0.87 (step-pop @p223 :rule scope :premises (@p222)) % 0.62/0.87 (step @p199 :rule process_scope :premises (@p223) :args (@t123)) % 0.62/0.87 (step @p205 :rule implies_elim :premises (@p199)) % 0.62/0.87 (step @p206 :rule resolution :premises (@p205 @p189) :args (true @t123)) % 0.62/0.87 (step @p207 :rule not_and :premises (@p206)) % 0.62/0.87 (step @p208 :rule eq_resolve :premises (@p207 @p176)) % 0.62/0.87 (step @p209 false :rule chain_m_resolution :premises (@p208 @p170 @p138 @p104 @p88 @p52) :args (false (@list true false false false false) (@list @t117 @t104 @t95 @t82 @t63))) % 0.62/0.87 ) % 0.62/0.87 % SZS output end Proof % 0.62/0.87 % cvc5 exiting %------------------------------------------------------------------------------