%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT382+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 : 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 0.30s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT382+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 % 0.16/0.34 % 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 : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.57 % SZS status Theorem % 0.30/0.57 % SZS output start Proof % 0.30/0.57 ( % 0.30/0.57 (declare-sort $$unsorted 0) % 0.30/0.57 (declare-const tptp.xu $$unsorted) % 0.30/0.57 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.isEmpty0 (-> $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.xT $$unsorted) % 0.30/0.57 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aLowerBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aSupremumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aUpperBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.aInfimumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.xv $$unsorted) % 0.30/0.57 (declare-const tptp.xS $$unsorted) % 0.30/0.57 (define @t1 () (@var "W0" $$unsorted)) % 0.30/0.57 (define @t2 () (tptp.aSet0 @t1)) % 0.30/0.57 (define @t3 () (@list @t1)) % 0.30/0.57 (define @t4 () (tptp.aElement0 @t1)) % 0.30/0.57 (define @t5 () (@var "W1" $$unsorted)) % 0.30/0.57 (define @t6 () (tptp.aElement0 @t5)) % 0.30/0.57 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.30/0.57 (define @t8 () (@list @t5)) % 0.30/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.30/0.57 (define @t10 () (=> @t2 @t9)) % 0.30/0.57 (define @t11 () (forall @t3 @t10)) % 0.30/0.57 (define @t12 () (@var "W2" $$unsorted)) % 0.30/0.57 (define @t13 () (tptp.aElementOf0 @t12 @t1)) % 0.30/0.57 (define @t14 () (@list @t12)) % 0.30/0.57 (define @t15 () (tptp.aSubsetOf0 @t5 @t1)) % 0.30/0.57 (define @t16 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.30/0.57 (define @t17 () (and @t4 @t6)) % 0.30/0.57 (define @t18 () (@list @t1 @t5)) % 0.30/0.57 (define @t19 () (= @t1 @t5)) % 0.30/0.57 (define @t20 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.30/0.57 (define @t21 () (and @t16 @t20)) % 0.30/0.57 (define @t22 () (=> @t21 @t19)) % 0.30/0.57 (define @t23 () (forall @t18 (=> @t17 @t22))) % 0.30/0.57 (define @t24 () (@var "W3" $$unsorted)) % 0.30/0.57 (define @t25 () (tptp.sdtlseqdt0 @t12 @t24)) % 0.30/0.57 (define @t26 () (tptp.aElementOf0 @t24 @t5)) % 0.30/0.57 (define @t27 () (@list @t24)) % 0.30/0.57 (define @t28 () (tptp.aLowerBoundOfIn0 @t12 @t5 @t1)) % 0.30/0.57 (define @t29 () (tptp.sdtlseqdt0 @t24 @t12)) % 0.30/0.57 (define @t30 () (tptp.aUpperBoundOfIn0 @t12 @t5 @t1)) % 0.30/0.57 (define @t31 () (tptp.aLowerBoundOfIn0 @t24 @t5 @t1)) % 0.30/0.57 (define @t32 () (forall @t27 (=> @t31 @t29))) % 0.30/0.57 (define @t33 () (and @t13 @t28 @t32)) % 0.30/0.57 (define @t34 () (tptp.aInfimumOfIn0 @t12 @t5 @t1)) % 0.30/0.57 (define @t35 () (= @t34 @t33)) % 0.30/0.57 (define @t36 () (forall @t14 @t35)) % 0.30/0.57 (define @t37 () (=> @t15 @t36)) % 0.30/0.57 (define @t38 () (forall @t8 @t37)) % 0.30/0.57 (define @t39 () (=> @t2 @t38)) % 0.30/0.57 (define @t40 () (forall @t3 @t39)) % 0.30/0.57 (define @t41 () (tptp.aSupremumOfIn0 @t12 @t5 @t1)) % 0.30/0.57 (define @t42 () (tptp.aSet0 tptp.xT)) % 0.30/0.57 (define @t43 () (tptp.aSubsetOf0 tptp.xS tptp.xT)) % 0.30/0.57 (define @t44 () (tptp.aInfimumOfIn0 tptp.xv tptp.xS tptp.xT)) % 0.30/0.57 (define @t45 () (tptp.aInfimumOfIn0 tptp.xu tptp.xS tptp.xT)) % 0.30/0.57 (define @t46 () (= tptp.xu tptp.xv)) % 0.30/0.57 (define @t47 () (not @t20)) % 0.30/0.57 (define @t48 () (not @t16)) % 0.30/0.57 (define @t49 () (not @t6)) % 0.30/0.57 (define @t50 () (not @t4)) % 0.30/0.57 (define @t51 () (or @t50 @t49 @t48 @t47 @t19)) % 0.30/0.57 (define @t52 () (or @t48 @t47 @t19)) % 0.30/0.57 (define @t53 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 0.30/0.57 (define @t54 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 0.30/0.57 (define @t55 () (= (tptp.aInfimumOfIn0 @t53 @t54 @t1) (and (tptp.aElementOf0 @t53 @t1) (tptp.aLowerBoundOfIn0 @t53 @t54 @t1) (forall @t27 (or (not (tptp.aLowerBoundOfIn0 @t24 @t54 @t1)) (tptp.sdtlseqdt0 @t24 @t53)))))) % 0.30/0.57 (define @t56 () (not (tptp.aSubsetOf0 @t54 @t1))) % 0.30/0.57 (define @t57 () (not @t2)) % 0.30/0.57 (define @t58 () (or @t56 @t55)) % 0.30/0.57 (define @t59 () (or @t57 @t58)) % 0.30/0.57 (define @t60 () (forall (@list @t1 @t54 @t53) @t59)) % 0.30/0.57 (define @t61 () (@list @t54 @t53)) % 0.30/0.57 (define @t62 () (forall @t61 @t59)) % 0.30/0.57 (define @t63 () (forall @t61 @t58)) % 0.30/0.57 (define @t64 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 0.30/0.57 (define @t65 () (or @t57 @t63)) % 0.30/0.57 (define @t66 () (not @t31)) % 0.30/0.57 (define @t67 () (= (tptp.aInfimumOfIn0 @t64 @t5 @t1) (and (tptp.aElementOf0 @t64 @t1) (tptp.aLowerBoundOfIn0 @t64 @t5 @t1) (forall @t27 (or @t66 (tptp.sdtlseqdt0 @t24 @t64)))))) % 0.30/0.57 (define @t68 () (not @t15)) % 0.30/0.57 (define @t69 () (or @t68 @t67)) % 0.30/0.57 (define @t70 () (forall (@list @t5 @t64) @t69)) % 0.30/0.57 (define @t71 () (@list @t64)) % 0.30/0.57 (define @t72 () (forall @t71 @t69)) % 0.30/0.57 (define @t73 () (forall @t71 @t67)) % 0.30/0.57 (define @t74 () (or @t68 @t73)) % 0.30/0.57 (define @t75 () (forall @t14 (= @t34 (and @t13 @t28 (forall @t27 (or @t66 @t29)))))) % 0.30/0.57 (define @t76 () (not (tptp.aLowerBoundOfIn0 @t24 tptp.xS tptp.xT))) % 0.30/0.57 (define @t77 () (forall @t27 (or @t76 (tptp.sdtlseqdt0 @t24 tptp.xv)))) % 0.30/0.57 (define @t78 () (tptp.aLowerBoundOfIn0 tptp.xv tptp.xS tptp.xT)) % 0.30/0.57 (define @t79 () (tptp.aElementOf0 tptp.xv tptp.xT)) % 0.30/0.57 (define @t80 () (and @t79 @t78 @t77)) % 0.30/0.57 (define @t81 () (= @t44 @t80)) % 0.30/0.57 (define @t82 () (not @t43)) % 0.30/0.57 (define @t83 () (not @t42)) % 0.30/0.57 (define @t84 () (or @t83 @t82 @t81)) % 0.30/0.57 (define @t85 () (@list false false false)) % 0.30/0.57 (define @t86 () (@list false false)) % 0.30/0.57 (define @t87 () (not @t80)) % 0.30/0.57 (define @t88 () (@list false)) % 0.30/0.57 (define @t89 () (@list @t80)) % 0.30/0.57 (define @t90 () (forall @t27 (or @t76 (tptp.sdtlseqdt0 @t24 tptp.xu)))) % 0.30/0.57 (define @t91 () (tptp.aLowerBoundOfIn0 tptp.xu tptp.xS tptp.xT)) % 0.30/0.57 (define @t92 () (tptp.aElementOf0 tptp.xu tptp.xT)) % 0.30/0.57 (define @t93 () (and @t92 @t91 @t90)) % 0.30/0.57 (define @t94 () (= @t45 @t93)) % 0.30/0.57 (define @t95 () (or @t83 @t82 @t94)) % 0.30/0.57 (define @t96 () (not @t93)) % 0.30/0.57 (define @t97 () (@list @t93)) % 0.30/0.57 (define @t98 () (tptp.sdtlseqdt0 tptp.xu tptp.xv)) % 0.30/0.57 (define @t99 () (not @t91)) % 0.30/0.57 (define @t100 () (or @t99 @t98)) % 0.30/0.57 (define @t101 () (tptp.sdtlseqdt0 tptp.xv tptp.xu)) % 0.30/0.57 (define @t102 () (not @t78)) % 0.30/0.57 (define @t103 () (or @t102 @t101)) % 0.30/0.57 (define @t104 () (@var "BOUND_VARIABLE_7558" $$unsorted)) % 0.30/0.57 (define @t105 () (tptp.aElement0 @t104)) % 0.30/0.57 (define @t106 () (not (tptp.aElementOf0 @t104 @t1))) % 0.30/0.57 (define @t107 () (or @t106 @t105)) % 0.30/0.57 (define @t108 () (or @t57 @t107)) % 0.30/0.57 (define @t109 () (forall (@list @t1 @t104) @t108)) % 0.30/0.57 (define @t110 () (@list @t104)) % 0.30/0.57 (define @t111 () (forall @t110 @t108)) % 0.30/0.57 (define @t112 () (forall @t110 @t107)) % 0.30/0.57 (define @t113 () (or @t57 @t112)) % 0.30/0.57 (define @t114 () (forall @t8 (or (not @t7) @t6))) % 0.30/0.57 (define @t115 () (tptp.aElement0 tptp.xv)) % 0.30/0.57 (define @t116 () (not @t79)) % 0.30/0.57 (define @t117 () (or @t83 @t116 @t115)) % 0.30/0.57 (define @t118 () (tptp.aElement0 tptp.xu)) % 0.30/0.57 (define @t119 () (not @t92)) % 0.30/0.57 (define @t120 () (or @t83 @t119 @t118)) % 0.30/0.57 (define @t121 () (not @t101)) % 0.30/0.57 (define @t122 () (not @t98)) % 0.30/0.57 (define @t123 () (not @t115)) % 0.30/0.57 (define @t124 () (not @t118)) % 0.30/0.57 (define @t125 () (or @t124 @t123 @t122 @t121 @t46)) % 0.30/0.57 (define @t126 () (not @t125)) % 0.30/0.57 (define @t127 () (forall @t18 @t51)) % 0.30/0.57 (assume @p1 (forall @t3 (=> @t2 true))) % 0.30/0.57 (assume @p2 (forall @t3 (=> @t4 true))) % 0.30/0.57 (assume @p3 @t11) % 0.30/0.57 (assume @p4 (forall @t3 (=> @t2 (= (tptp.isEmpty0 @t1) (not (exists @t8 @t7)))))) % 0.30/0.57 (assume @p5 (forall @t3 (=> @t2 (forall @t8 (= @t15 (and (tptp.aSet0 @t5) (forall @t14 (=> (tptp.aElementOf0 @t12 @t5) @t13)))))))) % 0.30/0.57 (assume @p6 (forall @t18 (=> @t17 (=> @t16 true)))) % 0.30/0.57 (assume @p7 (forall @t3 (=> @t4 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.30/0.57 (assume @p8 @t23) % 0.30/0.57 (assume @p9 (forall (@list @t1 @t5 @t12) (=> (and @t4 @t6 (tptp.aElement0 @t12)) (=> (and @t16 (tptp.sdtlseqdt0 @t5 @t12)) (tptp.sdtlseqdt0 @t1 @t12))))) % 0.30/0.57 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= @t28 (and @t13 (forall @t27 (=> @t26 @t25)))))))))) % 0.30/0.57 (assume @p11 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= @t30 (and @t13 (forall @t27 (=> @t26 @t29)))))))))) % 0.39/0.57 (assume @p12 @t40) % 0.39/0.57 (assume @p13 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall @t14 (= @t41 (and @t13 @t30 (forall @t27 (=> (tptp.aUpperBoundOfIn0 @t24 @t5 @t1) @t25)))))))))) % 0.39/0.57 (assume @p14 (forall @t3 (=> @t2 (forall @t8 (=> @t15 (forall (@list @t12 @t24) (=> (and @t41 (tptp.aSupremumOfIn0 @t24 @t5 @t1)) (= @t12 @t24)))))))) % 0.39/0.57 (assume @p15 @t42) % 0.39/0.57 (assume @p16 @t43) % 0.39/0.57 (assume @p17 (and @t45 @t44)) % 0.39/0.57 (assume @p18 (not @t46)) % 0.39/0.57 (assume @p19 true) % 0.39/0.57 (step @p20 :rule aci_norm :args ((= (or (or @t50 @t49) @t52) @t51))) % 0.39/0.57 (step @p21 :rule aci_norm :args ((= (or (or @t48 @t47) @t19) @t52))) % 0.39/0.57 (step @p22 :rule refl :args (@t19)) % 0.39/0.57 (step @p23 :rule bool-and-de-morgan :args (@t16 @t20 true)) % 0.39/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t21) @t19))) % 0.39/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.39/0.57 (step @p26 :rule bool-impl-elim :args (@t21 @t19)) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.57 (step @p28 :rule bool-and-de-morgan :args (@t4 @t6 true)) % 0.39/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t17) @t22))) % 0.39/0.57 (step @p30 :rule trans :premises (@p29 @p20)) % 0.39/0.57 (step @p31 :rule bool-impl-elim :args (@t17 @t22)) % 0.39/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32) :args (@t23)) % 0.39/0.57 (step @p34 :rule eq_resolve :premises (@p8 @p33)) % 0.39/0.57 (step @p35 :rule aci_norm :args ((= @t59 (or @t57 @t56 @t55)))) % 0.39/0.57 (step @p36 :rule cong :premises (@p35) :args (@t60)) % 0.39/0.57 (step @p37 :rule quant-merge-prenex :args ((= (forall @t3 @t62) @t60))) % 0.39/0.57 (step @p38 :rule alpha_equiv :args (@t63 (@list @t54 @t53) (@list @t5 @t64))) % 0.39/0.57 (step @p39 :rule refl :args (@t57)) % 0.39/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t65)) % 0.39/0.57 (step @p41 :rule quant-miniscope-or :args ((= @t62 @t65))) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.57 (step @p43 :rule symm :premises (@p42)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t3 (or @t57 @t70)))) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p37)) % 0.39/0.57 (step @p46 :rule trans :premises (@p45 @p36)) % 0.39/0.57 (step @p47 :rule bool-impl-elim :args (@t2 @t70)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47) :args ((forall @t3 (=> @t2 @t70)))) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p46)) % 0.39/0.57 (step @p50 :rule quant-merge-prenex :args ((= (forall @t8 @t72) @t70))) % 0.39/0.57 (step @p51 :rule alpha_equiv :args (@t73 (@list @t64) (@list @t12))) % 0.39/0.57 (step @p52 :rule refl :args (@t68)) % 0.39/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t74)) % 0.39/0.57 (step @p54 :rule quant-miniscope-or :args ((= @t72 @t74))) % 0.39/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.57 (step @p56 :rule symm :premises (@p55)) % 0.39/0.57 (step @p57 :rule cong :premises (@p56) :args ((forall @t8 (or @t68 @t75)))) % 0.39/0.57 (step @p58 :rule trans :premises (@p57 @p50)) % 0.39/0.57 (step @p59 :rule bool-impl-elim :args (@t15 @t75)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t8 (=> @t15 @t75)))) % 0.39/0.57 (step @p61 :rule trans :premises (@p60 @p58)) % 0.39/0.57 (step @p62 :rule bool-impl-elim :args (@t31 @t29)) % 0.39/0.57 (step @p63 :rule cong :premises (@p62) :args (@t32)) % 0.39/0.57 (step @p64 :rule refl :args (@t28)) % 0.39/0.57 (step @p65 :rule refl :args (@t13)) % 0.39/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t33)) % 0.39/0.57 (step @p67 :rule refl :args (@t34)) % 0.39/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t35)) % 0.39/0.57 (step @p69 :rule cong :premises (@p68) :args (@t36)) % 0.39/0.57 (step @p70 :rule refl :args (@t15)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args (@t37)) % 0.39/0.57 (step @p72 :rule cong :premises (@p71) :args (@t38)) % 0.39/0.57 (step @p73 :rule trans :premises (@p72 @p61)) % 0.39/0.57 (step @p74 :rule refl :args (@t2)) % 0.39/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args (@t39)) % 0.39/0.57 (step @p76 :rule cong :premises (@p75) :args (@t40)) % 0.39/0.57 (step @p77 :rule trans :premises (@p76 @p49)) % 0.39/0.57 (step @p78 :rule eq_resolve :premises (@p12 @p77)) % 0.39/0.57 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.xT tptp.xS tptp.xv))) % 0.39/0.57 (step @p80 :rule cnf_or_pos :args (@t84)) % 0.39/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t83 @t82 @t81 (not @t84)))) % 0.39/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p15 @p16 @p79) :args (@t81 @t85 (@list @t42 @t43 @t84))) % 0.39/0.57 (step @p83 :rule and_elim :premises (@p17) :args (1)) % 0.39/0.57 (step @p84 :rule cnf_equiv_pos1 :args (@t81)) % 0.39/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or (not @t44) @t80 (not @t81)))) % 0.39/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82) :args (@t80 @t86 (@list @t44 @t81))) % 0.39/0.57 (step @p87 :rule cnf_and_pos :args (@t80 2)) % 0.39/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t77 @t87))) % 0.39/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t77 @t88 @t89)) % 0.39/0.57 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.xu))) % 0.39/0.57 (step @p91 :rule instantiate :premises (@p78) :args ((@list tptp.xT tptp.xS tptp.xu))) % 0.39/0.57 (step @p92 :rule cnf_or_pos :args (@t95)) % 0.39/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t83 @t82 @t94 (not @t95)))) % 0.39/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p15 @p16 @p91) :args (@t94 @t85 (@list @t42 @t43 @t95))) % 0.39/0.57 (step @p95 :rule and_elim :premises (@p17) :args (0)) % 0.39/0.57 (step @p96 :rule cnf_equiv_pos1 :args (@t94)) % 0.39/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or (not @t45) @t93 (not @t94)))) % 0.39/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p94) :args (@t93 @t86 (@list @t45 @t94))) % 0.39/0.57 (step @p99 :rule cnf_and_pos :args (@t93 1)) % 0.39/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t91 @t96))) % 0.39/0.57 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t91 @t88 @t97)) % 0.39/0.57 (step @p102 :rule cnf_or_pos :args (@t100)) % 0.39/0.57 (step @p103 :rule reordering :premises (@p102) :args ((or @t99 @t98 (not @t100)))) % 0.39/0.57 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p90) :args (@t98 @t86 (@list @t91 @t100))) % 0.39/0.57 (step @p105 :rule cnf_and_pos :args (@t93 2)) % 0.39/0.57 (step @p106 :rule reordering :premises (@p105) :args ((or @t90 @t96))) % 0.39/0.57 (step @p107 :rule chain_m_resolution :premises (@p106 @p98) :args (@t90 @t88 @t97)) % 0.39/0.57 (step @p108 :rule instantiate :premises (@p107) :args ((@list tptp.xv))) % 0.39/0.57 (step @p109 :rule cnf_and_pos :args (@t80 1)) % 0.39/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t78 @t87))) % 0.39/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p86) :args (@t78 @t88 @t89)) % 0.39/0.57 (step @p112 :rule cnf_or_pos :args (@t103)) % 0.39/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t102 @t101 (not @t103)))) % 0.39/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p108) :args (@t101 @t86 (@list @t78 @t103))) % 0.39/0.57 (step @p115 :rule aci_norm :args ((= @t108 (or @t57 @t106 @t105)))) % 0.39/0.57 (step @p116 :rule cong :premises (@p115) :args (@t109)) % 0.39/0.57 (step @p117 :rule quant-merge-prenex :args ((= (forall @t3 @t111) @t109))) % 0.39/0.57 (step @p118 :rule alpha_equiv :args (@t112 (@list @t104) (@list @t5))) % 0.39/0.57 (step @p119 :rule nary_cong :premises (@p39 @p118) :args (@t113)) % 0.39/0.57 (step @p120 :rule quant-miniscope-or :args ((= @t111 @t113))) % 0.39/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.39/0.57 (step @p122 :rule symm :premises (@p121)) % 0.39/0.57 (step @p123 :rule cong :premises (@p122) :args ((forall @t3 (or @t57 @t114)))) % 0.39/0.57 (step @p124 :rule trans :premises (@p123 @p117)) % 0.39/0.57 (step @p125 :rule trans :premises (@p124 @p116)) % 0.39/0.57 (step @p126 :rule bool-impl-elim :args (@t2 @t114)) % 0.39/0.57 (step @p127 :rule cong :premises (@p126) :args ((forall @t3 (=> @t2 @t114)))) % 0.39/0.57 (step @p128 :rule trans :premises (@p127 @p125)) % 0.39/0.57 (step @p129 :rule bool-impl-elim :args (@t7 @t6)) % 0.39/0.57 (step @p130 :rule cong :premises (@p129) :args (@t9)) % 0.39/0.57 (step @p131 :rule cong :premises (@p74 @p130) :args (@t10)) % 0.39/0.57 (step @p132 :rule cong :premises (@p131) :args (@t11)) % 0.39/0.57 (step @p133 :rule trans :premises (@p132 @p128)) % 0.39/0.57 (step @p134 :rule eq_resolve :premises (@p3 @p133)) % 0.39/0.57 (step @p135 :rule instantiate :premises (@p134) :args ((@list tptp.xT tptp.xv))) % 0.39/0.57 (step @p136 :rule cnf_and_pos :args (@t80 0)) % 0.39/0.57 (step @p137 :rule reordering :premises (@p136) :args ((or @t79 @t87))) % 0.39/0.57 (step @p138 :rule chain_m_resolution :premises (@p137 @p86) :args (@t79 @t88 @t89)) % 0.39/0.57 (step @p139 :rule cnf_or_pos :args (@t117)) % 0.39/0.57 (step @p140 :rule reordering :premises (@p139) :args ((or @t83 @t116 @t115 (not @t117)))) % 0.39/0.57 (step @p141 :rule chain_m_resolution :premises (@p140 @p15 @p138 @p135) :args (@t115 @t85 (@list @t42 @t79 @t117))) % 0.39/0.57 (step @p142 :rule instantiate :premises (@p134) :args ((@list tptp.xT tptp.xu))) % 0.39/0.57 (step @p143 :rule cnf_and_pos :args (@t93 0)) % 0.39/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t92 @t96))) % 0.39/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p98) :args (@t92 @t88 @t97)) % 0.39/0.57 (step @p146 :rule cnf_or_pos :args (@t120)) % 0.39/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or @t83 @t119 @t118 (not @t120)))) % 0.39/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p15 @p145 @p142) :args (@t118 @t85 (@list @t42 @t92 @t120))) % 0.39/0.57 (step @p149 :rule cnf_or_pos :args (@t125)) % 0.39/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t46 @t124 @t123 @t121 @t122 @t126))) % 0.39/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p18 @p148 @p141 @p114 @p104) :args (@t126 (@list true false false false false) (@list @t46 @t118 @t115 @t101 @t98))) % 0.39/0.57 (assume-push @p158 @t127) % 0.39/0.57 (step @p153 :rule instantiate :premises (@p34) :args ((@list tptp.xu tptp.xv))) % 0.39/0.57 (step-pop @p159 :rule scope :premises (@p153)) % 0.39/0.57 (step @p154 :rule process_scope :premises (@p159) :args (@t125)) % 0.39/0.57 (step @p156 :rule implies_elim :premises (@p154)) % 0.39/0.57 (step @p157 false :rule chain_m_resolution :premises (@p156 @p151 @p34) :args (false (@list true false) (@list @t125 @t127))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------