%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT381+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 : n021.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 08:30:35 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT381+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 07:01:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.xu $$unsorted) % 0.31/0.57 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.isEmpty0 (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.xT $$unsorted) % 0.31/0.57 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aLowerBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aSupremumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.aUpperBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.xv $$unsorted) % 0.31/0.57 (declare-const tptp.aInfimumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.xS $$unsorted) % 0.31/0.57 (define @t1 () (@var "W0" $$unsorted)) % 0.31/0.57 (define @t2 () (tptp.aSet0 @t1)) % 0.31/0.57 (define @t3 () (@list @t1)) % 0.31/0.57 (define @t4 () (tptp.aElement0 @t1)) % 0.31/0.57 (define @t5 () (@var "W1" $$unsorted)) % 0.31/0.57 (define @t6 () (tptp.aElement0 @t5)) % 0.31/0.57 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.31/0.57 (define @t8 () (@list @t5)) % 0.31/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.31/0.57 (define @t10 () (=> @t2 @t9)) % 0.31/0.57 (define @t11 () (forall @t3 @t10)) % 0.31/0.57 (define @t12 () (@var "W2" $$unsorted)) % 0.31/0.57 (define @t13 () (tptp.aElementOf0 @t12 @t1)) % 0.31/0.57 (define @t14 () (@list @t12)) % 0.31/0.57 (define @t15 () (tptp.aSubsetOf0 @t5 @t1)) % 0.31/0.57 (define @t16 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.31/0.57 (define @t17 () (and @t4 @t6)) % 0.31/0.57 (define @t18 () (@list @t1 @t5)) % 0.31/0.57 (define @t19 () (= @t1 @t5)) % 0.31/0.57 (define @t20 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.31/0.57 (define @t21 () (and @t16 @t20)) % 0.31/0.57 (define @t22 () (=> @t21 @t19)) % 0.31/0.57 (define @t23 () (forall @t18 (=> @t17 @t22))) % 0.31/0.57 (define @t24 () (@var "W3" $$unsorted)) % 0.31/0.57 (define @t25 () (tptp.sdtlseqdt0 @t12 @t24)) % 0.31/0.57 (define @t26 () (tptp.aElementOf0 @t24 @t5)) % 0.31/0.57 (define @t27 () (@list @t24)) % 0.31/0.57 (define @t28 () (tptp.aLowerBoundOfIn0 @t12 @t5 @t1)) % 0.31/0.57 (define @t29 () (tptp.sdtlseqdt0 @t24 @t12)) % 0.31/0.57 (define @t30 () (tptp.aUpperBoundOfIn0 @t12 @t5 @t1)) % 0.31/0.57 (define @t31 () (tptp.aUpperBoundOfIn0 @t24 @t5 @t1)) % 0.31/0.57 (define @t32 () (forall @t27 (=> @t31 @t25))) % 0.31/0.57 (define @t33 () (and @t13 @t30 @t32)) % 0.31/0.57 (define @t34 () (tptp.aSupremumOfIn0 @t12 @t5 @t1)) % 0.31/0.57 (define @t35 () (= @t34 @t33)) % 0.31/0.57 (define @t36 () (forall @t14 @t35)) % 0.31/0.57 (define @t37 () (=> @t15 @t36)) % 0.31/0.57 (define @t38 () (forall @t8 @t37)) % 0.31/0.57 (define @t39 () (=> @t2 @t38)) % 0.31/0.57 (define @t40 () (forall @t3 @t39)) % 0.31/0.57 (define @t41 () (tptp.aSet0 tptp.xT)) % 0.31/0.57 (define @t42 () (tptp.aSubsetOf0 tptp.xS tptp.xT)) % 0.31/0.57 (define @t43 () (tptp.aSupremumOfIn0 tptp.xv tptp.xS tptp.xT)) % 0.31/0.57 (define @t44 () (tptp.aSupremumOfIn0 tptp.xu tptp.xS tptp.xT)) % 0.31/0.57 (define @t45 () (= tptp.xu tptp.xv)) % 0.31/0.57 (define @t46 () (not @t20)) % 0.31/0.57 (define @t47 () (not @t16)) % 0.31/0.57 (define @t48 () (not @t6)) % 0.31/0.57 (define @t49 () (not @t4)) % 0.31/0.57 (define @t50 () (or @t49 @t48 @t47 @t46 @t19)) % 0.31/0.57 (define @t51 () (or @t47 @t46 @t19)) % 0.31/0.57 (define @t52 () (@var "BOUND_VARIABLE_7796" $$unsorted)) % 0.31/0.57 (define @t53 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 0.31/0.57 (define @t54 () (= (tptp.aSupremumOfIn0 @t52 @t53 @t1) (and (tptp.aElementOf0 @t52 @t1) (tptp.aUpperBoundOfIn0 @t52 @t53 @t1) (forall @t27 (or (not (tptp.aUpperBoundOfIn0 @t24 @t53 @t1)) (tptp.sdtlseqdt0 @t52 @t24)))))) % 0.31/0.57 (define @t55 () (not (tptp.aSubsetOf0 @t53 @t1))) % 0.31/0.57 (define @t56 () (not @t2)) % 0.31/0.57 (define @t57 () (or @t55 @t54)) % 0.31/0.57 (define @t58 () (or @t56 @t57)) % 0.31/0.57 (define @t59 () (forall (@list @t1 @t53 @t52) @t58)) % 0.31/0.57 (define @t60 () (@list @t53 @t52)) % 0.31/0.57 (define @t61 () (forall @t60 @t58)) % 0.31/0.57 (define @t62 () (forall @t60 @t57)) % 0.31/0.57 (define @t63 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 0.31/0.57 (define @t64 () (or @t56 @t62)) % 0.31/0.57 (define @t65 () (not @t31)) % 0.31/0.57 (define @t66 () (= (tptp.aSupremumOfIn0 @t63 @t5 @t1) (and (tptp.aElementOf0 @t63 @t1) (tptp.aUpperBoundOfIn0 @t63 @t5 @t1) (forall @t27 (or @t65 (tptp.sdtlseqdt0 @t63 @t24)))))) % 0.31/0.57 (define @t67 () (not @t15)) % 0.31/0.57 (define @t68 () (or @t67 @t66)) % 0.31/0.57 (define @t69 () (forall (@list @t5 @t63) @t68)) % 0.31/0.57 (define @t70 () (@list @t63)) % 0.31/0.57 (define @t71 () (forall @t70 @t68)) % 0.31/0.57 (define @t72 () (forall @t70 @t66)) % 0.31/0.57 (define @t73 () (or @t67 @t72)) % 0.31/0.57 (define @t74 () (forall @t14 (= @t34 (and @t13 @t30 (forall @t27 (or @t65 @t25)))))) % 0.31/0.57 (define @t75 () (not (tptp.aUpperBoundOfIn0 @t24 tptp.xS tptp.xT))) % 0.31/0.57 (define @t76 () (forall @t27 (or @t75 (tptp.sdtlseqdt0 tptp.xv @t24)))) % 0.31/0.57 (define @t77 () (tptp.aUpperBoundOfIn0 tptp.xv tptp.xS tptp.xT)) % 0.31/0.57 (define @t78 () (tptp.aElementOf0 tptp.xv tptp.xT)) % 0.31/0.57 (define @t79 () (and @t78 @t77 @t76)) % 0.31/0.57 (define @t80 () (= @t43 @t79)) % 0.31/0.57 (define @t81 () (not @t42)) % 0.31/0.57 (define @t82 () (not @t41)) % 0.31/0.57 (define @t83 () (or @t82 @t81 @t80)) % 0.31/0.57 (define @t84 () (@list false false false)) % 0.31/0.57 (define @t85 () (@list false false)) % 0.31/0.57 (define @t86 () (not @t79)) % 0.31/0.57 (define @t87 () (@list false)) % 0.31/0.57 (define @t88 () (@list @t79)) % 0.31/0.57 (define @t89 () (forall @t27 (or @t75 (tptp.sdtlseqdt0 tptp.xu @t24)))) % 0.31/0.57 (define @t90 () (tptp.aUpperBoundOfIn0 tptp.xu tptp.xS tptp.xT)) % 0.31/0.57 (define @t91 () (tptp.aElementOf0 tptp.xu tptp.xT)) % 0.31/0.57 (define @t92 () (and @t91 @t90 @t89)) % 0.31/0.57 (define @t93 () (= @t44 @t92)) % 0.31/0.57 (define @t94 () (or @t82 @t81 @t93)) % 0.31/0.57 (define @t95 () (not @t92)) % 0.31/0.57 (define @t96 () (@list @t92)) % 0.31/0.57 (define @t97 () (tptp.sdtlseqdt0 tptp.xv tptp.xu)) % 0.31/0.57 (define @t98 () (not @t90)) % 0.31/0.57 (define @t99 () (or @t98 @t97)) % 0.31/0.57 (define @t100 () (tptp.sdtlseqdt0 tptp.xu tptp.xv)) % 0.31/0.57 (define @t101 () (not @t77)) % 0.31/0.57 (define @t102 () (or @t101 @t100)) % 0.31/0.57 (define @t103 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.31/0.57 (define @t104 () (tptp.aElement0 @t103)) % 0.31/0.57 (define @t105 () (not (tptp.aElementOf0 @t103 @t1))) % 0.31/0.57 (define @t106 () (or @t105 @t104)) % 0.31/0.57 (define @t107 () (or @t56 @t106)) % 0.31/0.57 (define @t108 () (forall (@list @t1 @t103) @t107)) % 0.31/0.57 (define @t109 () (@list @t103)) % 0.31/0.57 (define @t110 () (forall @t109 @t107)) % 0.31/0.57 (define @t111 () (forall @t109 @t106)) % 0.31/0.57 (define @t112 () (or @t56 @t111)) % 0.31/0.57 (define @t113 () (forall @t8 (or (not @t7) @t6))) % 0.31/0.57 (define @t114 () (tptp.aElement0 tptp.xv)) % 0.31/0.57 (define @t115 () (not @t78)) % 0.31/0.57 (define @t116 () (or @t82 @t115 @t114)) % 0.31/0.57 (define @t117 () (tptp.aElement0 tptp.xu)) % 0.31/0.57 (define @t118 () (not @t91)) % 0.31/0.57 (define @t119 () (or @t82 @t118 @t117)) % 0.31/0.57 (define @t120 () (not @t97)) % 0.31/0.57 (define @t121 () (not @t100)) % 0.31/0.57 (define @t122 () (not @t114)) % 0.31/0.57 (define @t123 () (not @t117)) % 0.31/0.57 (define @t124 () (or @t123 @t122 @t121 @t120 @t45)) % 0.31/0.57 (define @t125 () (not @t124)) % 0.31/0.57 (define @t126 () (forall @t18 @t50)) % 0.31/0.57 (assume @p1 (forall @t3 (=> @t2 true))) % 0.31/0.57 (assume @p2 (forall @t3 (=> @t4 true))) % 0.31/0.57 (assume @p3 @t11) % 0.31/0.57 (assume @p4 (forall @t3 (=> @t2 (= (tptp.isEmpty0 @t1) (not (exists @t8 @t7)))))) % 0.31/0.57 (assume @p5 (forall @t3 (=> @t2 (forall @t8 (= @t15 (and (tptp.aSet0 @t5) (forall @t14 (=> (tptp.aElementOf0 @t12 @t5) @t13)))))))) % 0.31/0.57 (assume @p6 (forall @t18 (=> @t17 (=> @t16 true)))) % 0.31/0.57 (assume @p7 (forall @t3 (=> @t4 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.31/0.57 (assume @p8 @t23) % 0.31/0.57 (assume @p9 (forall (@list @t1 @t5 @t12) (=> (and @t4 @t6 (tptp.aElement0 @t12)) (=> (and @t16 (tptp.sdtlseqdt0 @t5 @t12)) (tptp.sdtlseqdt0 @t1 @t12))))) % 0.31/0.57 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= @t28 (and @t13 (forall @t27 (=> @t26 @t25)))))))))) % 0.31/0.57 (assume @p11 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= @t30 (and @t13 (forall @t27 (=> @t26 @t29)))))))))) % 0.31/0.57 (assume @p12 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= (tptp.aInfimumOfIn0 @t12 @t5 @t1) (and @t13 @t28 (forall @t27 (=> (tptp.aLowerBoundOfIn0 @t24 @t5 @t1) @t29)))))))))) % 0.31/0.57 (assume @p13 @t40) % 0.31/0.57 (assume @p14 @t41) % 0.31/0.57 (assume @p15 @t42) % 0.31/0.57 (assume @p16 (and @t44 @t43)) % 0.31/0.57 (assume @p17 (not @t45)) % 0.31/0.57 (assume @p18 true) % 0.31/0.57 (step @p19 :rule aci_norm :args ((= (or (or @t49 @t48) @t51) @t50))) % 0.31/0.57 (step @p20 :rule aci_norm :args ((= (or (or @t47 @t46) @t19) @t51))) % 0.31/0.57 (step @p21 :rule refl :args (@t19)) % 0.31/0.57 (step @p22 :rule bool-and-de-morgan :args (@t16 @t20 true)) % 0.31/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t21) @t19))) % 0.31/0.57 (step @p24 :rule trans :premises (@p23 @p20)) % 0.31/0.57 (step @p25 :rule bool-impl-elim :args (@t21 @t19)) % 0.31/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.31/0.57 (step @p27 :rule bool-and-de-morgan :args (@t4 @t6 true)) % 0.31/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t17) @t22))) % 0.31/0.57 (step @p29 :rule trans :premises (@p28 @p19)) % 0.31/0.57 (step @p30 :rule bool-impl-elim :args (@t17 @t22)) % 0.31/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.31/0.57 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 0.31/0.57 (step @p33 :rule eq_resolve :premises (@p8 @p32)) % 0.31/0.57 (step @p34 :rule aci_norm :args ((= @t58 (or @t56 @t55 @t54)))) % 0.31/0.57 (step @p35 :rule cong :premises (@p34) :args (@t59)) % 0.31/0.57 (step @p36 :rule quant-merge-prenex :args ((= (forall @t3 @t61) @t59))) % 0.31/0.57 (step @p37 :rule alpha_equiv :args (@t62 (@list @t53 @t52) (@list @t5 @t63))) % 0.31/0.57 (step @p38 :rule refl :args (@t56)) % 0.31/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t64)) % 0.31/0.57 (step @p40 :rule quant-miniscope-or :args ((= @t61 @t64))) % 0.31/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.31/0.57 (step @p42 :rule symm :premises (@p41)) % 0.31/0.57 (step @p43 :rule cong :premises (@p42) :args ((forall @t3 (or @t56 @t69)))) % 0.31/0.57 (step @p44 :rule trans :premises (@p43 @p36)) % 0.31/0.57 (step @p45 :rule trans :premises (@p44 @p35)) % 0.31/0.57 (step @p46 :rule bool-impl-elim :args (@t2 @t69)) % 0.31/0.57 (step @p47 :rule cong :premises (@p46) :args ((forall @t3 (=> @t2 @t69)))) % 0.31/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.31/0.57 (step @p49 :rule quant-merge-prenex :args ((= (forall @t8 @t71) @t69))) % 0.31/0.57 (step @p50 :rule alpha_equiv :args (@t72 (@list @t63) (@list @t12))) % 0.31/0.57 (step @p51 :rule refl :args (@t67)) % 0.31/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t73)) % 0.31/0.57 (step @p53 :rule quant-miniscope-or :args ((= @t71 @t73))) % 0.31/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.31/0.57 (step @p55 :rule symm :premises (@p54)) % 0.31/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t8 (or @t67 @t74)))) % 0.31/0.57 (step @p57 :rule trans :premises (@p56 @p49)) % 0.31/0.57 (step @p58 :rule bool-impl-elim :args (@t15 @t74)) % 0.31/0.57 (step @p59 :rule cong :premises (@p58) :args ((forall @t8 (=> @t15 @t74)))) % 0.31/0.57 (step @p60 :rule trans :premises (@p59 @p57)) % 0.31/0.57 (step @p61 :rule bool-impl-elim :args (@t31 @t25)) % 0.31/0.57 (step @p62 :rule cong :premises (@p61) :args (@t32)) % 0.31/0.57 (step @p63 :rule refl :args (@t30)) % 0.31/0.57 (step @p64 :rule refl :args (@t13)) % 0.31/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args (@t33)) % 0.31/0.57 (step @p66 :rule refl :args (@t34)) % 0.31/0.57 (step @p67 :rule cong :premises (@p66 @p65) :args (@t35)) % 0.31/0.57 (step @p68 :rule cong :premises (@p67) :args (@t36)) % 0.31/0.57 (step @p69 :rule refl :args (@t15)) % 0.31/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args (@t37)) % 0.31/0.57 (step @p71 :rule cong :premises (@p70) :args (@t38)) % 0.31/0.57 (step @p72 :rule trans :premises (@p71 @p60)) % 0.31/0.57 (step @p73 :rule refl :args (@t2)) % 0.31/0.57 (step @p74 :rule cong :premises (@p73 @p72) :args (@t39)) % 0.31/0.57 (step @p75 :rule cong :premises (@p74) :args (@t40)) % 0.31/0.57 (step @p76 :rule trans :premises (@p75 @p48)) % 0.31/0.57 (step @p77 :rule eq_resolve :premises (@p13 @p76)) % 0.31/0.57 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.xT tptp.xS tptp.xv))) % 0.31/0.57 (step @p79 :rule cnf_or_pos :args (@t83)) % 0.31/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t82 @t81 @t80 (not @t83)))) % 0.31/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p14 @p15 @p78) :args (@t80 @t84 (@list @t41 @t42 @t83))) % 0.31/0.57 (step @p82 :rule and_elim :premises (@p16) :args (1)) % 0.31/0.57 (step @p83 :rule cnf_equiv_pos1 :args (@t80)) % 0.31/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or (not @t43) @t79 (not @t80)))) % 0.31/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p81) :args (@t79 @t85 (@list @t43 @t80))) % 0.31/0.57 (step @p86 :rule cnf_and_pos :args (@t79 2)) % 0.31/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t76 @t86))) % 0.31/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t76 @t87 @t88)) % 0.31/0.57 (step @p89 :rule instantiate :premises (@p88) :args ((@list tptp.xu))) % 0.31/0.57 (step @p90 :rule instantiate :premises (@p77) :args ((@list tptp.xT tptp.xS tptp.xu))) % 0.31/0.57 (step @p91 :rule cnf_or_pos :args (@t94)) % 0.31/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t82 @t81 @t93 (not @t94)))) % 0.31/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p14 @p15 @p90) :args (@t93 @t84 (@list @t41 @t42 @t94))) % 0.31/0.57 (step @p94 :rule and_elim :premises (@p16) :args (0)) % 0.31/0.57 (step @p95 :rule cnf_equiv_pos1 :args (@t93)) % 0.31/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or (not @t44) @t92 (not @t93)))) % 0.31/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p93) :args (@t92 @t85 (@list @t44 @t93))) % 0.31/0.57 (step @p98 :rule cnf_and_pos :args (@t92 1)) % 0.31/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t90 @t95))) % 0.31/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t90 @t87 @t96)) % 0.31/0.57 (step @p101 :rule cnf_or_pos :args (@t99)) % 0.31/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t98 @t97 (not @t99)))) % 0.31/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p89) :args (@t97 @t85 (@list @t90 @t99))) % 0.31/0.57 (step @p104 :rule cnf_and_pos :args (@t92 2)) % 0.31/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t89 @t95))) % 0.31/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p97) :args (@t89 @t87 @t96)) % 0.31/0.57 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xv))) % 0.31/0.57 (step @p108 :rule cnf_and_pos :args (@t79 1)) % 0.31/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t77 @t86))) % 0.31/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p85) :args (@t77 @t87 @t88)) % 0.31/0.57 (step @p111 :rule cnf_or_pos :args (@t102)) % 0.31/0.57 (step @p112 :rule reordering :premises (@p111) :args ((or @t101 @t100 (not @t102)))) % 0.31/0.57 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p107) :args (@t100 @t85 (@list @t77 @t102))) % 0.31/0.57 (step @p114 :rule aci_norm :args ((= @t107 (or @t56 @t105 @t104)))) % 0.31/0.57 (step @p115 :rule cong :premises (@p114) :args (@t108)) % 0.31/0.57 (step @p116 :rule quant-merge-prenex :args ((= (forall @t3 @t110) @t108))) % 0.31/0.57 (step @p117 :rule alpha_equiv :args (@t111 (@list @t103) (@list @t5))) % 0.31/0.57 (step @p118 :rule nary_cong :premises (@p38 @p117) :args (@t112)) % 0.31/0.57 (step @p119 :rule quant-miniscope-or :args ((= @t110 @t112))) % 0.31/0.57 (step @p120 :rule trans :premises (@p119 @p118)) % 0.31/0.57 (step @p121 :rule symm :premises (@p120)) % 0.31/0.57 (step @p122 :rule cong :premises (@p121) :args ((forall @t3 (or @t56 @t113)))) % 0.31/0.57 (step @p123 :rule trans :premises (@p122 @p116)) % 0.31/0.57 (step @p124 :rule trans :premises (@p123 @p115)) % 0.31/0.57 (step @p125 :rule bool-impl-elim :args (@t2 @t113)) % 0.31/0.57 (step @p126 :rule cong :premises (@p125) :args ((forall @t3 (=> @t2 @t113)))) % 0.31/0.57 (step @p127 :rule trans :premises (@p126 @p124)) % 0.31/0.57 (step @p128 :rule bool-impl-elim :args (@t7 @t6)) % 0.31/0.57 (step @p129 :rule cong :premises (@p128) :args (@t9)) % 0.31/0.57 (step @p130 :rule cong :premises (@p73 @p129) :args (@t10)) % 0.31/0.57 (step @p131 :rule cong :premises (@p130) :args (@t11)) % 0.31/0.57 (step @p132 :rule trans :premises (@p131 @p127)) % 0.31/0.57 (step @p133 :rule eq_resolve :premises (@p3 @p132)) % 0.31/0.57 (step @p134 :rule instantiate :premises (@p133) :args ((@list tptp.xT tptp.xv))) % 0.31/0.57 (step @p135 :rule cnf_and_pos :args (@t79 0)) % 0.31/0.57 (step @p136 :rule reordering :premises (@p135) :args ((or @t78 @t86))) % 0.31/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p85) :args (@t78 @t87 @t88)) % 0.31/0.57 (step @p138 :rule cnf_or_pos :args (@t116)) % 0.31/0.57 (step @p139 :rule reordering :premises (@p138) :args ((or @t82 @t115 @t114 (not @t116)))) % 0.31/0.57 (step @p140 :rule chain_m_resolution :premises (@p139 @p14 @p137 @p134) :args (@t114 @t84 (@list @t41 @t78 @t116))) % 0.31/0.57 (step @p141 :rule instantiate :premises (@p133) :args ((@list tptp.xT tptp.xu))) % 0.31/0.57 (step @p142 :rule cnf_and_pos :args (@t92 0)) % 0.31/0.57 (step @p143 :rule reordering :premises (@p142) :args ((or @t91 @t95))) % 0.31/0.57 (step @p144 :rule chain_m_resolution :premises (@p143 @p97) :args (@t91 @t87 @t96)) % 0.31/0.57 (step @p145 :rule cnf_or_pos :args (@t119)) % 0.31/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t82 @t118 @t117 (not @t119)))) % 0.31/0.57 (step @p147 :rule chain_m_resolution :premises (@p146 @p14 @p144 @p141) :args (@t117 @t84 (@list @t41 @t91 @t119))) % 0.31/0.57 (step @p148 :rule cnf_or_pos :args (@t124)) % 0.31/0.57 (step @p149 :rule reordering :premises (@p148) :args ((or @t45 @t123 @t122 @t121 @t120 @t125))) % 0.31/0.57 (step @p150 :rule chain_m_resolution :premises (@p149 @p17 @p147 @p140 @p113 @p103) :args (@t125 (@list true false false false false) (@list @t45 @t117 @t114 @t100 @t97))) % 0.31/0.57 (assume-push @p157 @t126) % 0.31/0.57 (step @p152 :rule instantiate :premises (@p33) :args ((@list tptp.xu tptp.xv))) % 0.31/0.57 (step-pop @p158 :rule scope :premises (@p152)) % 0.31/0.57 (step @p153 :rule process_scope :premises (@p158) :args (@t124)) % 0.31/0.57 (step @p155 :rule implies_elim :premises (@p153)) % 0.31/0.57 (step @p156 false :rule chain_m_resolution :premises (@p155 @p150 @p33) :args (false (@list true false) (@list @t124 @t126))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.31/0.57 % cvc5 exiting %------------------------------------------------------------------------------