%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM468+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 : n023.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 15.89s 16.56s % Output : Proof 15.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM468+1 : 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 % 0.17/0.34 % Computer : n023.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 11:22:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.89/16.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.89/16.56 --- Run --no-e-matching --full-saturate-quant at 6... % 15.89/16.56 % SZS status Theorem % 15.89/16.56 % SZS output start Proof % 15.89/16.56 ( % 15.89/16.56 (declare-sort $$unsorted 0) % 15.89/16.56 (declare-const tptp.xl $$unsorted) % 15.89/16.56 (declare-const tptp.xm $$unsorted) % 15.89/16.56 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.89/16.56 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.89/16.56 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.89/16.56 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.89/16.56 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 15.89/16.56 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.89/16.56 (declare-const tptp.sz10 $$unsorted) % 15.89/16.56 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 15.89/16.56 (declare-const tptp.sz00 $$unsorted) % 15.89/16.56 (declare-const tptp.xn $$unsorted) % 15.89/16.56 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 15.89/16.56 (define @t1 () (@var "W0" $$unsorted)) % 15.89/16.56 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 15.89/16.56 (define @t3 () (@list @t1)) % 15.89/16.56 (define @t4 () (@var "W1" $$unsorted)) % 15.89/16.56 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 15.89/16.56 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 15.89/16.56 (define @t7 () (and @t2 @t6)) % 15.89/16.56 (define @t8 () (@list @t1 @t4)) % 15.89/16.56 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 15.89/16.56 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 15.89/16.56 (define @t11 () (@var "W2" $$unsorted)) % 15.89/16.56 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 15.89/16.56 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 15.89/16.56 (define @t14 () (and @t2 @t6 @t13)) % 15.89/16.56 (define @t15 () (@list @t1 @t4 @t11)) % 15.89/16.56 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 15.89/16.56 (define @t17 () (tptp.sdtasdt0 @t11 @t1)) % 15.89/16.56 (define @t18 () (tptp.sdtasdt0 @t1 @t11)) % 15.89/16.56 (define @t19 () (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t18)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t17)))) % 15.89/16.56 (define @t20 () (forall @t15 (=> @t14 @t19))) % 15.89/16.56 (define @t21 () (= @t4 @t11)) % 15.89/16.56 (define @t22 () (tptp.sdtpldt0 @t11 @t1)) % 15.89/16.56 (define @t23 () (tptp.sdtpldt0 @t1 @t11)) % 15.89/16.56 (define @t24 () (= @t16 @t17)) % 15.89/16.56 (define @t25 () (= @t9 @t18)) % 15.89/16.56 (define @t26 () (and @t6 @t13)) % 15.89/16.56 (define @t27 () (= @t1 tptp.sz00)) % 15.89/16.56 (define @t28 () (not @t27)) % 15.89/16.56 (define @t29 () (= @t4 tptp.sz00)) % 15.89/16.56 (define @t30 () (and @t13 (= @t23 @t4))) % 15.89/16.56 (define @t31 () (@list @t11)) % 15.89/16.56 (define @t32 () (tptp.sdtlseqdt0 @t1 @t4)) % 15.89/16.56 (define @t33 () (= @t1 @t4)) % 15.89/16.56 (define @t34 () (tptp.sdtlseqdt0 @t4 @t1)) % 15.89/16.56 (define @t35 () (tptp.sdtlseqdt0 @t4 @t11)) % 15.89/16.56 (define @t36 () (tptp.sdtpldt0 @t11 @t4)) % 15.89/16.56 (define @t37 () (and (not @t33) @t32)) % 15.89/16.56 (define @t38 () (tptp.iLess0 @t1 @t4)) % 15.89/16.56 (define @t39 () (and @t13 (= @t4 @t18))) % 15.89/16.56 (define @t40 () (tptp.doDivides0 @t1 @t4)) % 15.89/16.56 (define @t41 () (tptp.sdtsldt0 @t4 @t1)) % 15.89/16.56 (define @t42 () (= @t11 @t41)) % 15.89/16.56 (define @t43 () (forall @t31 (= @t42 @t39))) % 15.89/16.56 (define @t44 () (and @t28 @t40)) % 15.89/16.56 (define @t45 () (=> @t44 @t43)) % 15.89/16.56 (define @t46 () (=> @t7 @t45)) % 15.89/16.56 (define @t47 () (forall @t8 @t46)) % 15.89/16.56 (define @t48 () (tptp.aNaturalNumber0 tptp.xn)) % 15.89/16.56 (define @t49 () (tptp.aNaturalNumber0 tptp.xm)) % 15.89/16.56 (define @t50 () (tptp.aNaturalNumber0 tptp.xl)) % 15.89/16.56 (define @t51 () (tptp.doDivides0 tptp.xl tptp.xn)) % 15.89/16.56 (define @t52 () (tptp.doDivides0 tptp.xl tptp.xm)) % 15.89/16.56 (define @t53 () (tptp.sdtsldt0 tptp.xn tptp.xl)) % 15.89/16.56 (define @t54 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 15.89/16.56 (define @t55 () (tptp.sdtpldt0 @t54 @t53)) % 15.89/16.56 (define @t56 () (tptp.sdtasdt0 tptp.xl @t55)) % 15.89/16.56 (define @t57 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 15.89/16.56 (define @t58 () (= @t57 @t56)) % 15.89/16.56 (define @t59 () (= tptp.xl tptp.sz00)) % 15.89/16.56 (define @t60 () (not @t59)) % 15.89/16.56 (define @t61 () (=> @t60 @t58)) % 15.89/16.56 (define @t62 () (not @t61)) % 15.89/16.56 (define @t63 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 15.89/16.56 (define @t64 () (and (tptp.aNaturalNumber0 @t63) (= @t4 (tptp.sdtasdt0 @t1 @t63)))) % 15.89/16.56 (define @t65 () (= @t64 (= @t63 @t41))) % 15.89/16.56 (define @t66 () (not @t40)) % 15.89/16.56 (define @t67 () (not @t6)) % 15.89/16.56 (define @t68 () (not @t2)) % 15.89/16.56 (define @t69 () (or @t68 @t67 @t27 @t66 @t65)) % 15.89/16.56 (define @t70 () (@list @t1 @t4 @t63)) % 15.89/16.56 (define @t71 () (forall @t70 @t69)) % 15.89/16.56 (define @t72 () (@list @t63)) % 15.89/16.56 (define @t73 () (forall @t72 @t69)) % 15.89/16.56 (define @t74 () (forall @t72 @t65)) % 15.89/16.56 (define @t75 () (or @t68 @t67 @t27 @t66 @t74)) % 15.89/16.56 (define @t76 () (forall @t31 (= @t39 @t42))) % 15.89/16.56 (define @t77 () (or @t68 @t67 @t27 @t66 @t76)) % 15.89/16.56 (define @t78 () (or @t27 @t66 @t76)) % 15.89/16.56 (define @t79 () (=> @t44 @t76)) % 15.89/16.56 (define @t80 () (tptp.sdtasdt0 tptp.xl @t53)) % 15.89/16.56 (define @t81 () (= tptp.xn @t80)) % 15.89/16.56 (define @t82 () (tptp.aNaturalNumber0 @t53)) % 15.89/16.56 (define @t83 () (and @t82 @t81)) % 15.89/16.56 (define @t84 () (= @t53 @t53)) % 15.89/16.56 (define @t85 () (not @t51)) % 15.89/16.56 (define @t86 () (not @t48)) % 15.89/16.56 (define @t87 () (not @t50)) % 15.89/16.56 (define @t88 () (or @t87 @t86 @t59 @t85 (= @t83 @t84))) % 15.89/16.56 (define @t89 () (forall @t70 (or @t68 @t67 @t27 @t66 (= @t64 (= @t41 @t63))))) % 15.89/16.56 (define @t90 () (= tptp.sz00 tptp.xl)) % 15.89/16.56 (define @t91 () (or @t87 @t86 @t90 @t85 @t83)) % 15.89/16.56 (define @t92 () (@list false)) % 15.89/16.56 (define @t93 () (@list @t89)) % 15.89/16.56 (define @t94 () (@list true false false false false)) % 15.89/16.56 (define @t95 () (not @t83)) % 15.89/16.56 (define @t96 () (@list @t83)) % 15.89/16.56 (define @t97 () (tptp.sdtasdt0 tptp.xl @t54)) % 15.89/16.56 (define @t98 () (= tptp.xm @t97)) % 15.89/16.56 (define @t99 () (tptp.aNaturalNumber0 @t54)) % 15.89/16.56 (define @t100 () (and @t99 @t98)) % 15.89/16.56 (define @t101 () (= @t54 @t54)) % 15.89/16.56 (define @t102 () (not @t52)) % 15.89/16.56 (define @t103 () (not @t49)) % 15.89/16.56 (define @t104 () (or @t87 @t103 @t59 @t102 (= @t100 @t101))) % 15.89/16.56 (define @t105 () (or @t87 @t103 @t90 @t102 @t100)) % 15.89/16.56 (define @t106 () (not @t100)) % 15.89/16.56 (define @t107 () (@list @t100)) % 15.89/16.56 (define @t108 () (not @t13)) % 15.89/16.56 (define @t109 () (or @t68 @t67 @t108)) % 15.89/16.56 (define @t110 () (= @t56 (tptp.sdtpldt0 @t97 @t80))) % 15.89/16.56 (define @t111 () (and @t110 (= (tptp.sdtasdt0 @t55 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 @t54 tptp.xl) (tptp.sdtasdt0 @t53 tptp.xl))))) % 15.89/16.56 (define @t112 () (not @t82)) % 15.89/16.56 (define @t113 () (not @t99)) % 15.89/16.56 (define @t114 () (or @t87 @t113 @t112 @t111)) % 15.89/16.56 (define @t115 () (and @t81 @t110 @t98)) % 15.89/16.56 (assume @p1 (forall @t3 (=> @t2 true))) % 15.89/16.56 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 15.89/16.56 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 15.89/16.56 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 15.89/16.56 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 15.89/16.56 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 15.89/16.56 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 15.89/16.56 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.89/16.56 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t16)))) % 15.89/16.56 (assume @p10 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 15.89/16.56 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 15.89/16.56 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.89/16.56 (assume @p13 @t20) % 15.89/16.56 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t23) (= @t10 @t22)) @t21)))) % 15.89/16.56 (assume @p15 (forall @t3 (=> @t2 (=> @t28 (forall (@list @t4 @t11) (=> @t26 (=> (or @t25 @t24) @t21))))))) % 15.89/16.56 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t27 @t29))))) % 15.89/16.56 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t27 @t29))))) % 15.89/16.56 (assume @p18 (forall @t8 (=> @t7 (= @t32 (exists @t31 @t30))))) % 15.89/16.56 (assume @p19 (forall @t8 (=> @t7 (=> @t32 (forall @t31 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t30)))))) % 15.89/16.56 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 15.89/16.56 (assume @p21 (forall @t8 (=> @t7 (=> (and @t32 @t34) @t33)))) % 15.89/16.56 (assume @p22 (forall @t15 (=> @t14 (=> (and @t32 @t35) (tptp.sdtlseqdt0 @t1 @t11))))) % 15.89/16.56 (assume @p23 (forall @t8 (=> @t7 (or @t32 (and (not (= @t4 @t1)) @t34))))) % 15.89/16.56 (assume @p24 (forall @t8 (=> @t7 (=> @t37 (forall @t31 (=> @t13 (and (not (= @t22 @t36)) (tptp.sdtlseqdt0 @t22 @t36) (not (= @t23 @t12)) (tptp.sdtlseqdt0 @t23 @t12)))))))) % 15.89/16.56 (assume @p25 (forall @t15 (=> @t14 (=> (and @t28 (not @t21) @t35) (and (not @t25) (tptp.sdtlseqdt0 @t9 @t18) (not @t24) (tptp.sdtlseqdt0 @t16 @t17)))))) % 15.89/16.56 (assume @p26 (forall @t3 (=> @t2 (or @t27 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 15.89/16.56 (assume @p27 (forall @t8 (=> @t7 (=> @t28 (tptp.sdtlseqdt0 @t4 @t16))))) % 15.89/16.56 (assume @p28 (forall @t8 (=> @t7 (=> @t38 true)))) % 15.89/16.56 (assume @p29 (forall @t8 (=> @t7 (=> @t37 @t38)))) % 15.89/16.56 (assume @p30 (forall @t8 (=> @t7 (= @t40 (exists @t31 @t39))))) % 15.89/16.56 (assume @p31 @t47) % 15.89/16.56 (assume @p32 (forall @t15 (=> @t14 (=> (and @t40 (tptp.doDivides0 @t4 @t11)) (tptp.doDivides0 @t1 @t11))))) % 15.89/16.56 (assume @p33 (and @t50 @t49 @t48)) % 15.89/16.56 (assume @p34 (and @t52 @t51)) % 15.89/16.56 (assume @p35 @t62) % 15.89/16.56 (assume @p36 true) % 15.89/16.56 (step @p37 :rule refl :args (@t58)) % 15.89/16.56 (step @p38 :rule eq-symm :args (tptp.xl tptp.sz00)) % 15.89/16.56 (step @p39 :rule cong :premises (@p38) :args (@t60)) % 15.89/16.56 (step @p40 :rule cong :premises (@p39 @p37) :args (@t61)) % 15.89/16.56 (step @p41 :rule cong :premises (@p40) :args (@t62)) % 15.89/16.56 (step @p42 :rule eq_resolve :premises (@p35 @p41)) % 15.89/16.56 (step @p43 :rule not_implies_elim2 :premises (@p42)) % 15.89/16.56 (step @p44 :rule eq-symm :args (@t63 @t41)) % 15.89/16.56 (step @p45 :rule refl :args (@t64)) % 15.89/16.56 (step @p46 :rule cong :premises (@p45 @p44) :args (@t65)) % 15.89/16.56 (step @p47 :rule refl :args (@t66)) % 15.89/16.56 (step @p48 :rule refl :args (@t27)) % 15.89/16.56 (step @p49 :rule refl :args (@t67)) % 15.89/16.56 (step @p50 :rule refl :args (@t68)) % 15.89/16.56 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47 @p46) :args (@t69)) % 15.89/16.56 (step @p52 :rule cong :premises (@p51) :args (@t71)) % 15.89/16.56 (step @p53 :rule quant-merge-prenex :args ((= (forall @t8 @t73) @t71))) % 15.89/16.56 (step @p54 :rule alpha_equiv :args (@t74 (@list @t63) (@list @t11))) % 15.89/16.56 (step @p55 :rule refl :args (@t66)) % 15.89/16.56 (step @p56 :rule refl :args (@t27)) % 15.89/16.56 (step @p57 :rule refl :args (@t67)) % 15.89/16.56 (step @p58 :rule refl :args (@t68)) % 15.89/16.56 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54) :args (@t75)) % 15.89/16.56 (step @p60 :rule quant-miniscope-or :args ((= @t73 @t75))) % 15.89/16.56 (step @p61 :rule trans :premises (@p60 @p59)) % 15.89/16.56 (step @p62 :rule symm :premises (@p61)) % 15.89/16.56 (step @p63 :rule cong :premises (@p62) :args ((forall @t8 @t77))) % 15.89/16.56 (step @p64 :rule trans :premises (@p63 @p53)) % 15.89/16.56 (step @p65 :rule trans :premises (@p64 @p52)) % 15.89/16.56 (step @p66 :rule aci_norm :args ((= (or (or @t68 @t67) @t78) @t77))) % 15.89/16.56 (step @p67 :rule aci_norm :args ((= (or (or @t27 @t66) @t76) @t78))) % 15.89/16.56 (step @p68 :rule refl :args (@t76)) % 15.89/16.56 (step @p69 :rule bool-double-not-elim :args (@t27)) % 15.89/16.56 (step @p70 :rule nary_cong :premises (@p69 @p55) :args ((or (not @t28) @t66))) % 15.89/16.56 (step @p71 :rule bool-and-de-morgan :args (@t28 @t40 true)) % 15.89/16.56 (step @p72 :rule trans :premises (@p71 @p70)) % 15.89/16.56 (step @p73 :rule nary_cong :premises (@p72 @p68) :args ((or (not @t44) @t76))) % 15.89/16.56 (step @p74 :rule trans :premises (@p73 @p67)) % 15.89/16.56 (step @p75 :rule bool-impl-elim :args (@t44 @t76)) % 15.89/16.56 (step @p76 :rule trans :premises (@p75 @p74)) % 15.89/16.56 (step @p77 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 15.89/16.56 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t7) @t79))) % 15.89/16.56 (step @p79 :rule trans :premises (@p78 @p66)) % 15.89/16.56 (step @p80 :rule bool-impl-elim :args (@t7 @t79)) % 15.89/16.56 (step @p81 :rule trans :premises (@p80 @p79)) % 15.89/16.56 (step @p82 :rule cong :premises (@p81) :args ((forall @t8 (=> @t7 @t79)))) % 15.89/16.56 (step @p83 :rule trans :premises (@p82 @p65)) % 15.89/16.56 (step @p84 :rule eq-symm :args (@t42 @t39)) % 15.89/16.56 (step @p85 :rule cong :premises (@p84) :args (@t43)) % 15.89/16.56 (step @p86 :rule refl :args (@t44)) % 15.89/16.56 (step @p87 :rule cong :premises (@p86 @p85) :args (@t45)) % 15.89/16.56 (step @p88 :rule refl :args (@t7)) % 15.89/16.56 (step @p89 :rule cong :premises (@p88 @p87) :args (@t46)) % 15.89/16.56 (step @p90 :rule cong :premises (@p89) :args (@t47)) % 15.89/16.56 (step @p91 :rule trans :premises (@p90 @p83)) % 15.89/16.56 (step @p92 :rule eq_resolve :premises (@p31 @p91)) % 15.89/16.56 (step @p93 :rule bool-eq-true :args (@t83)) % 15.89/16.56 (step @p94 :rule eq-symm :args (true @t83)) % 15.89/16.56 (step @p95 :rule trans :premises (@p94 @p93)) % 15.89/16.56 (step @p96 :rule refl :args (@t83)) % 15.89/16.56 (step @p97 :rule eq-refl :args (@t53)) % 15.89/16.56 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t84 @t83))) % 15.89/16.56 (step @p99 :rule trans :premises (@p98 @p95)) % 15.89/16.56 (step @p100 :rule eq-symm :args (@t83 @t84)) % 15.89/16.56 (step @p101 :rule trans :premises (@p100 @p99)) % 15.89/16.56 (step @p102 :rule refl :args (@t85)) % 15.89/16.56 (step @p103 :rule refl :args (@t86)) % 15.89/16.56 (step @p104 :rule refl :args (@t87)) % 15.89/16.56 (step @p105 :rule nary_cong :premises (@p104 @p103 @p38 @p102 @p101) :args (@t88)) % 15.89/16.56 (step @p106 :rule refl :args (@t89)) % 15.89/16.56 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t89 @t88))) % 15.89/16.56 (assume-push @p195 @t89) % 15.89/16.56 (step @p109 :rule instantiate :premises (@p92) :args ((@list tptp.xl tptp.xn @t53))) % 15.89/16.56 (step-pop @p196 :rule scope :premises (@p109)) % 15.89/16.56 (step @p110 :rule process_scope :premises (@p196) :args (@t88)) % 15.89/16.56 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 15.89/16.56 (step @p113 :rule implies_elim :premises (@p112)) % 15.89/16.56 (step @p114 :rule chain_m_resolution :premises (@p113 @p92) :args (@t91 @t92 @t93)) % 15.89/16.56 (step @p115 :rule and_elim :premises (@p34) :args (1)) % 15.89/16.56 (step @p116 :rule and_elim :premises (@p33) :args (2)) % 15.89/16.56 (step @p117 :rule and_elim :premises (@p33) :args (0)) % 15.89/16.56 (step @p118 :rule not_implies_elim1 :premises (@p42)) % 15.89/16.56 (step @p119 :rule cnf_or_pos :args (@t91)) % 15.89/16.56 (step @p120 :rule reordering :premises (@p119) :args ((or @t90 @t87 @t86 @t85 @t83 (not @t91)))) % 15.89/16.56 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117 @p116 @p115 @p114) :args (@t83 @t94 (@list @t90 @t50 @t48 @t51 @t91))) % 15.89/16.56 (step @p122 :rule cnf_and_pos :args (@t83 1)) % 15.89/16.56 (step @p123 :rule reordering :premises (@p122) :args ((or @t81 @t95))) % 15.89/16.56 (step @p124 :rule chain_m_resolution :premises (@p123 @p121) :args (@t81 @t92 @t96)) % 15.89/16.56 (step @p125 :rule bool-eq-true :args (@t100)) % 15.89/16.56 (step @p126 :rule eq-symm :args (true @t100)) % 15.89/16.56 (step @p127 :rule trans :premises (@p126 @p125)) % 15.89/16.56 (step @p128 :rule refl :args (@t100)) % 15.89/16.56 (step @p129 :rule eq-refl :args (@t54)) % 15.89/16.56 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t101 @t100))) % 15.89/16.56 (step @p131 :rule trans :premises (@p130 @p127)) % 15.89/16.56 (step @p132 :rule eq-symm :args (@t100 @t101)) % 15.89/16.56 (step @p133 :rule trans :premises (@p132 @p131)) % 15.89/16.56 (step @p134 :rule refl :args (@t102)) % 15.89/16.56 (step @p135 :rule refl :args (@t103)) % 15.89/16.56 (step @p136 :rule nary_cong :premises (@p104 @p135 @p38 @p134 @p133) :args (@t104)) % 15.89/16.56 (step @p137 :rule cong :premises (@p106 @p136) :args ((=> @t89 @t104))) % 15.89/16.56 (assume-push @p197 @t89) % 15.89/16.56 (step @p139 :rule instantiate :premises (@p92) :args ((@list tptp.xl tptp.xm @t54))) % 15.89/16.56 (step-pop @p198 :rule scope :premises (@p139)) % 15.89/16.56 (step @p140 :rule process_scope :premises (@p198) :args (@t104)) % 15.89/16.56 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 15.89/16.56 (step @p143 :rule implies_elim :premises (@p142)) % 15.89/16.56 (step @p144 :rule chain_m_resolution :premises (@p143 @p92) :args (@t105 @t92 @t93)) % 15.89/16.56 (step @p145 :rule and_elim :premises (@p34) :args (0)) % 15.89/16.56 (step @p146 :rule and_elim :premises (@p33) :args (1)) % 15.89/16.56 (step @p147 :rule cnf_or_pos :args (@t105)) % 15.89/16.56 (step @p148 :rule reordering :premises (@p147) :args ((or @t90 @t87 @t103 @t102 @t100 (not @t105)))) % 15.89/16.56 (step @p149 :rule chain_m_resolution :premises (@p148 @p118 @p117 @p146 @p145 @p144) :args (@t100 @t94 (@list @t90 @t50 @t49 @t52 @t105))) % 15.89/16.56 (step @p150 :rule cnf_and_pos :args (@t100 1)) % 15.89/16.56 (step @p151 :rule reordering :premises (@p150) :args ((or @t98 @t106))) % 15.89/16.56 (step @p152 :rule chain_m_resolution :premises (@p151 @p149) :args (@t98 @t92 @t107)) % 15.89/16.56 (step @p153 :rule aci_norm :args ((= (or @t109 @t19) (or @t68 @t67 @t108 @t19)))) % 15.89/16.56 (step @p154 :rule refl :args (@t19)) % 15.89/16.56 (step @p155 :rule aci_norm :args ((= (or @t68 (or @t67 @t108)) @t109))) % 15.89/16.56 (step @p156 :rule bool-and-de-morgan :args (@t6 @t13 true)) % 15.89/16.56 (step @p157 :rule nary_cong :premises (@p58 @p156) :args ((or @t68 (not @t26)))) % 15.89/16.56 (step @p158 :rule bool-and-de-morgan :args (@t2 @t6 (and @t13))) % 15.89/16.56 (step @p159 :rule trans :premises (@p158 @p157)) % 15.89/16.56 (step @p160 :rule trans :premises (@p159 @p155)) % 15.89/16.56 (step @p161 :rule nary_cong :premises (@p160 @p154) :args ((or (not @t14) @t19))) % 15.89/16.56 (step @p162 :rule trans :premises (@p161 @p153)) % 15.89/16.56 (step @p163 :rule bool-impl-elim :args (@t14 @t19)) % 15.89/16.56 (step @p164 :rule trans :premises (@p163 @p162)) % 15.89/16.56 (step @p165 :rule cong :premises (@p164) :args (@t20)) % 15.89/16.56 (step @p166 :rule eq_resolve :premises (@p13 @p165)) % 15.89/16.56 (step @p167 :rule instantiate :premises (@p166) :args ((@list tptp.xl @t54 @t53))) % 15.89/16.56 (step @p168 :rule cnf_and_pos :args (@t100 0)) % 15.89/16.56 (step @p169 :rule reordering :premises (@p168) :args ((or @t99 @t106))) % 15.89/16.56 (step @p170 :rule chain_m_resolution :premises (@p169 @p149) :args (@t99 @t92 @t107)) % 15.89/16.56 (step @p171 :rule cnf_and_pos :args (@t83 0)) % 15.89/16.56 (step @p172 :rule reordering :premises (@p171) :args ((or @t82 @t95))) % 15.89/16.56 (step @p173 :rule chain_m_resolution :premises (@p172 @p121) :args (@t82 @t92 @t96)) % 15.89/16.56 (step @p174 :rule cnf_or_pos :args (@t114)) % 15.89/16.56 (step @p175 :rule reordering :premises (@p174) :args ((or @t87 @t112 @t113 @t111 (not @t114)))) % 15.89/16.56 (step @p176 :rule chain_m_resolution :premises (@p175 @p117 @p173 @p170 @p167) :args (@t111 (@list false false false false) (@list @t50 @t82 @t99 @t114))) % 15.89/16.56 (step @p177 :rule cnf_and_pos :args (@t111 0)) % 15.89/16.56 (step @p178 :rule reordering :premises (@p177) :args ((or @t110 (not @t111)))) % 15.89/16.56 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t110 @t92 (@list @t111))) % 15.89/16.56 (assume-push @p199 @t81) % 15.89/16.56 (assume-push @p200 @t110) % 15.89/16.56 (assume-push @p201 @t98) % 15.89/16.56 (step @p183 :rule symm :premises (@p179)) % 15.89/16.56 (step @p184 :rule cong :premises (@p152 @p124) :args (@t57)) % 15.89/16.56 (step @p185 :rule trans :premises (@p184 @p183)) % 15.89/16.56 (step-pop @p202 :rule scope :premises (@p185)) % 15.89/16.56 (step-pop @p203 :rule scope :premises (@p202)) % 15.89/16.56 (step-pop @p204 :rule scope :premises (@p203)) % 15.89/16.56 (step @p186 :rule process_scope :premises (@p204) :args (@t58)) % 15.89/16.56 (step @p190 :rule implies_elim :premises (@p186)) % 15.89/16.56 (step @p191 :rule cnf_and_neg :args (@t115)) % 15.89/16.56 (step @p192 :rule resolution :premises (@p191 @p190) :args (true @t115)) % 15.89/16.56 (step @p193 :rule reordering :premises (@p192) :args ((or @t58 (not @t81) (not @t110) (not @t98)))) % 15.89/16.56 (step @p194 false :rule chain_m_resolution :premises (@p193 @p179 @p152 @p124 @p43) :args (false (@list false false false true) (@list @t110 @t98 @t81 @t58))) % 15.89/16.56 ) % 15.89/16.56 % SZS output end Proof % 15.89/16.56 % cvc5 exiting %------------------------------------------------------------------------------