%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED003+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:35:24 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED003+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 09:41:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.n0 $$unsorted) % 0.39/0.60 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.drugi (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t4 () (@var "X0" $$unsorted)) % 0.39/0.60 (define @t5 () (tptp.bcapacitysn @t4)) % 0.39/0.60 (define @t6 () (tptp.bcapacityex @t4)) % 0.39/0.60 (define @t7 () (tptp.bcapacityne @t4)) % 0.39/0.60 (define @t8 () (@list @t4)) % 0.39/0.60 (define @t9 () (not @t6)) % 0.39/0.60 (define @t10 () (not @t7)) % 0.39/0.60 (define @t11 () (not @t5)) % 0.39/0.60 (define @t12 () (tptp.conditionnormo @t4)) % 0.39/0.60 (define @t13 () (tptp.conditionhypo @t4)) % 0.39/0.60 (define @t14 () (tptp.conditionhyper @t4)) % 0.39/0.60 (define @t15 () (not @t13)) % 0.39/0.60 (define @t16 () (not @t14)) % 0.39/0.60 (define @t17 () (not @t12)) % 0.39/0.60 (define @t18 () (@var "X1" $$unsorted)) % 0.39/0.60 (define @t19 () (tptp.uptakepg @t18)) % 0.39/0.60 (define @t20 () (tptp.uptakelg @t18)) % 0.39/0.60 (define @t21 () (and @t20 @t19)) % 0.39/0.60 (define @t22 () (tptp.gt @t4 @t18)) % 0.39/0.60 (define @t23 () (not @t22)) % 0.39/0.60 (define @t24 () (@list @t18)) % 0.39/0.60 (define @t25 () (forall @t24 (=> @t23 @t21))) % 0.39/0.60 (define @t26 () (tptp.drugi @t18)) % 0.39/0.60 (define @t27 () (forall @t24 (=> @t23 @t26))) % 0.39/0.60 (define @t28 () (=> @t27 @t25)) % 0.39/0.60 (define @t29 () (forall @t8 @t28)) % 0.39/0.60 (define @t30 () (not (tptp.releaselg @t18))) % 0.39/0.60 (define @t31 () (forall @t24 (=> @t23 (tptp.bsecretioni @t18)))) % 0.39/0.60 (define @t32 () (forall @t24 (=> @t23 @t30))) % 0.39/0.60 (define @t33 () (tptp.conditionnormo @t18)) % 0.39/0.60 (define @t34 () (forall @t24 (=> @t23 @t33))) % 0.39/0.60 (define @t35 () (tptp.conditionhyper @t18)) % 0.39/0.60 (define @t36 () (forall @t24 (=> @t22 @t35))) % 0.39/0.60 (define @t37 () (tptp.qilt27 @t4)) % 0.39/0.60 (define @t38 () (forall @t24 (=> @t23 @t19))) % 0.39/0.60 (define @t39 () (tptp.conditionhypo @t18)) % 0.39/0.60 (define @t40 () (or @t33 @t39)) % 0.39/0.60 (define @t41 () (forall @t24 (=> @t23 @t40))) % 0.39/0.60 (define @t42 () (forall @t24 (=> @t23 @t20))) % 0.39/0.60 (define @t43 () (and @t42 @t38 @t6 @t36)) % 0.39/0.60 (define @t44 () (=> @t43 @t41)) % 0.39/0.60 (define @t45 () (forall @t8 @t44)) % 0.39/0.60 (define @t46 () (or @t12 @t13)) % 0.39/0.60 (define @t47 () (tptp.gt tptp.n0 @t4)) % 0.39/0.60 (define @t48 () (not @t47)) % 0.39/0.60 (define @t49 () (forall @t8 (=> @t48 @t46))) % 0.39/0.60 (define @t50 () (tptp.bcapacityex tptp.n0)) % 0.39/0.60 (define @t51 () (forall @t8 (=> @t47 @t14))) % 0.39/0.60 (define @t52 () (tptp.drugi @t4)) % 0.39/0.60 (define @t53 () (forall @t8 (=> @t48 @t52))) % 0.39/0.60 (define @t54 () (and @t53 @t51 @t50)) % 0.39/0.60 (define @t55 () (=> @t54 @t49)) % 0.39/0.60 (define @t56 () (not @t55)) % 0.39/0.60 (define @t57 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 0.39/0.60 (define @t58 () (tptp.conditionhypo @t57)) % 0.39/0.60 (define @t59 () (tptp.conditionnormo @t57)) % 0.39/0.60 (define @t60 () (tptp.gt @t4 @t57)) % 0.39/0.60 (define @t61 () (forall @t24 (or @t23 @t35))) % 0.39/0.60 (define @t62 () (not @t61)) % 0.39/0.60 (define @t63 () (forall @t24 (or @t22 @t19))) % 0.39/0.60 (define @t64 () (not @t63)) % 0.39/0.60 (define @t65 () (forall @t24 (or @t22 @t20))) % 0.39/0.60 (define @t66 () (not @t65)) % 0.39/0.60 (define @t67 () (or @t60 @t59 @t58)) % 0.39/0.60 (define @t68 () (or @t66 @t64 @t9 @t62 @t67)) % 0.39/0.60 (define @t69 () (forall (@list @t4 @t57) @t68)) % 0.39/0.60 (define @t70 () (@list @t57)) % 0.39/0.60 (define @t71 () (forall @t70 @t68)) % 0.39/0.60 (define @t72 () (forall @t70 @t67)) % 0.39/0.60 (define @t73 () (@list @t18)) % 0.39/0.60 (define @t74 () (or @t66 @t64 @t9 @t62 @t72)) % 0.39/0.60 (define @t75 () (or @t22 @t33 @t39)) % 0.39/0.60 (define @t76 () (forall @t24 @t75)) % 0.39/0.60 (define @t77 () (or @t66 @t64 @t9 @t62 @t76)) % 0.39/0.60 (define @t78 () (or @t66 @t64 @t9 @t62)) % 0.39/0.60 (define @t79 () (and @t65 @t63 @t6 @t61)) % 0.39/0.60 (define @t80 () (not @t23)) % 0.39/0.60 (define @t81 () (or @t47 @t12 @t13)) % 0.39/0.60 (define @t82 () (@quantifiers_skolemize (forall @t8 @t81) 0)) % 0.39/0.60 (define @t83 () (tptp.gt tptp.n0 @t18)) % 0.39/0.60 (define @t84 () (forall @t24 (or @t83 @t20))) % 0.39/0.60 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.39/0.60 (define @t86 () (tptp.uptakelg @t85)) % 0.39/0.60 (define @t87 () (tptp.gt tptp.n0 @t85)) % 0.39/0.60 (define @t88 () (or @t87 @t86)) % 0.39/0.60 (define @t89 () (not @t48)) % 0.39/0.60 (define @t90 () (forall @t8 (or @t47 @t52))) % 0.39/0.60 (define @t91 () (@list @t4)) % 0.39/0.60 (define @t92 () (forall @t24 (or @t83 @t26))) % 0.39/0.60 (define @t93 () (@list false)) % 0.39/0.60 (define @t94 () (@var "BOUND_VARIABLE_7564" $$unsorted)) % 0.39/0.60 (define @t95 () (and (tptp.uptakelg @t94) (tptp.uptakepg @t94))) % 0.39/0.60 (define @t96 () (tptp.gt @t4 @t94)) % 0.39/0.60 (define @t97 () (forall @t24 (or @t22 @t26))) % 0.39/0.60 (define @t98 () (not @t97)) % 0.39/0.60 (define @t99 () (or @t96 @t95)) % 0.39/0.60 (define @t100 () (or @t98 @t99)) % 0.39/0.60 (define @t101 () (forall (@list @t4 @t94) @t100)) % 0.39/0.60 (define @t102 () (@list @t94)) % 0.39/0.60 (define @t103 () (forall @t102 @t100)) % 0.39/0.60 (define @t104 () (forall @t102 @t99)) % 0.39/0.60 (define @t105 () (or @t98 @t104)) % 0.39/0.60 (define @t106 () (forall @t24 (or @t22 @t21))) % 0.39/0.60 (define @t107 () (and @t86 (tptp.uptakepg @t85))) % 0.39/0.60 (define @t108 () (not @t92)) % 0.39/0.60 (define @t109 () (or @t108 @t87 @t107)) % 0.39/0.60 (define @t110 () (not @t88)) % 0.39/0.60 (define @t111 () (not @t84)) % 0.39/0.60 (define @t112 () (forall @t8 (or @t48 @t14))) % 0.39/0.60 (define @t113 () (forall @t24 (or (not @t83) @t35))) % 0.39/0.60 (define @t114 () (tptp.conditionhypo @t82)) % 0.39/0.60 (define @t115 () (tptp.conditionnormo @t82)) % 0.39/0.60 (define @t116 () (tptp.gt tptp.n0 @t82)) % 0.39/0.60 (define @t117 () (or @t116 @t115 @t114)) % 0.39/0.60 (define @t118 () (@list true)) % 0.39/0.60 (define @t119 () (@list @t117)) % 0.39/0.60 (define @t120 () (not @t113)) % 0.39/0.60 (define @t121 () (not @t50)) % 0.39/0.60 (define @t122 () (forall @t24 (or @t83 @t19))) % 0.39/0.60 (define @t123 () (not @t122)) % 0.39/0.60 (define @t124 () (or @t111 @t123 @t121 @t120 @t116 @t115 @t114)) % 0.39/0.60 (define @t125 () (@quantifiers_skolemize @t122 0)) % 0.39/0.60 (define @t126 () (tptp.uptakepg @t125)) % 0.39/0.60 (define @t127 () (tptp.gt tptp.n0 @t125)) % 0.39/0.60 (define @t128 () (or @t127 @t126)) % 0.39/0.60 (define @t129 () (not @t128)) % 0.39/0.60 (define @t130 () (@list @t128)) % 0.39/0.60 (define @t131 () (and (tptp.uptakelg @t125) @t126)) % 0.39/0.60 (define @t132 () (or @t108 @t127 @t131)) % 0.39/0.60 (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 0.39/0.60 (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2)))) % 0.39/0.60 (assume @p3 (forall @t8 (or @t7 @t6 @t5))) % 0.39/0.60 (assume @p4 (forall @t8 (or @t10 @t9))) % 0.39/0.60 (assume @p5 (forall @t8 (or @t10 @t11))) % 0.39/0.60 (assume @p6 (forall @t8 (or @t9 @t11))) % 0.39/0.60 (assume @p7 (forall @t8 (or @t14 @t13 @t12))) % 0.39/0.60 (assume @p8 (forall @t8 (or @t16 @t15))) % 0.39/0.60 (assume @p9 (forall @t8 (or @t16 @t17))) % 0.39/0.60 (assume @p10 (forall @t8 (or @t15 @t17))) % 0.39/0.60 (assume @p11 @t29) % 0.39/0.60 (assume @p12 (forall (@list @t4 @t18) (=> @t23 (=> @t20 @t30)))) % 0.39/0.60 (assume @p13 (forall @t8 (=> (and (forall @t24 (=> @t23 (tptp.drugsu @t18))) @t9) @t31))) % 0.39/0.60 (assume @p14 (forall @t8 (=> (forall @t24 (=> @t23 (tptp.drugbg @t18))) @t32))) % 0.39/0.60 (assume @p15 (forall @t8 (=> (and @t31 @t5 @t37 @t36) @t34))) % 0.39/0.60 (assume @p16 (forall @t8 (=> (and @t32 @t5 (not @t37) @t36) @t34))) % 0.39/0.60 (assume @p17 (forall @t8 (=> (and (or @t32 @t38) @t7 @t31 @t36) @t34))) % 0.39/0.60 (assume @p18 @t45) % 0.39/0.60 (assume @p19 @t56) % 0.39/0.60 (assume @p20 true) % 0.39/0.60 (step @p21 :rule aci_norm :args ((= @t68 (or @t66 @t64 @t9 @t62 @t60 @t59 @t58)))) % 0.39/0.60 (step @p22 :rule cong :premises (@p21) :args (@t69)) % 0.39/0.60 (step @p23 :rule quant-merge-prenex :args ((= (forall @t8 @t71) @t69))) % 0.39/0.60 (step @p24 :rule alpha_equiv :args (@t72 (@list @t57) @t73)) % 0.39/0.60 (step @p25 :rule refl :args (@t62)) % 0.39/0.60 (step @p26 :rule refl :args (@t9)) % 0.39/0.60 (step @p27 :rule refl :args (@t64)) % 0.39/0.60 (step @p28 :rule refl :args (@t66)) % 0.39/0.60 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25 @p24) :args (@t74)) % 0.39/0.60 (step @p30 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.39/0.60 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.60 (step @p32 :rule symm :premises (@p31)) % 0.39/0.60 (step @p33 :rule cong :premises (@p32) :args ((forall @t8 @t77))) % 0.39/0.60 (step @p34 :rule trans :premises (@p33 @p23)) % 0.39/0.60 (step @p35 :rule trans :premises (@p34 @p22)) % 0.39/0.60 (step @p36 :rule aci_norm :args ((= (or @t78 @t76) @t77))) % 0.39/0.60 (step @p37 :rule refl :args (@t76)) % 0.39/0.60 (step @p38 :rule aci_norm :args ((= (or @t66 (or @t64 (or @t9 @t62))) @t78))) % 0.39/0.60 (step @p39 :rule bool-and-de-morgan :args (@t6 @t61 true)) % 0.39/0.60 (step @p40 :rule nary_cong :premises (@p27 @p39) :args ((or @t64 (not (and @t6 @t61))))) % 0.39/0.60 (step @p41 :rule bool-and-de-morgan :args (@t63 @t6 (and @t61))) % 0.39/0.60 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.60 (step @p43 :rule nary_cong :premises (@p28 @p42) :args ((or @t66 (not (and @t63 @t6 @t61))))) % 0.39/0.60 (step @p44 :rule bool-and-de-morgan :args (@t65 @t63 (and @t6 @t61))) % 0.39/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.60 (step @p46 :rule trans :premises (@p45 @p38)) % 0.39/0.60 (step @p47 :rule nary_cong :premises (@p46 @p37) :args ((or (not @t79) @t76))) % 0.39/0.60 (step @p48 :rule trans :premises (@p47 @p36)) % 0.39/0.60 (step @p49 :rule bool-impl-elim :args (@t79 @t76)) % 0.39/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.60 (step @p51 :rule cong :premises (@p50) :args ((forall @t8 (=> @t79 @t76)))) % 0.39/0.60 (step @p52 :rule trans :premises (@p51 @p35)) % 0.39/0.60 (step @p53 :rule aci_norm :args ((= (or @t22 @t40) @t75))) % 0.39/0.60 (step @p54 :rule refl :args (@t40)) % 0.39/0.60 (step @p55 :rule bool-double-not-elim :args (@t22)) % 0.39/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t80 @t40))) % 0.39/0.60 (step @p57 :rule bool-impl-elim :args (@t23 @t40)) % 0.39/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.60 (step @p59 :rule trans :premises (@p58 @p53)) % 0.39/0.60 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.39/0.60 (step @p61 :rule bool-impl-elim :args (@t22 @t35)) % 0.39/0.60 (step @p62 :rule cong :premises (@p61) :args (@t36)) % 0.39/0.60 (step @p63 :rule refl :args (@t6)) % 0.39/0.60 (step @p64 :rule refl :args (@t19)) % 0.39/0.60 (step @p65 :rule nary_cong :premises (@p55 @p64) :args ((or @t80 @t19))) % 0.39/0.60 (step @p66 :rule bool-impl-elim :args (@t23 @t19)) % 0.39/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67) :args (@t38)) % 0.39/0.60 (step @p69 :rule refl :args (@t20)) % 0.39/0.60 (step @p70 :rule nary_cong :premises (@p55 @p69) :args ((or @t80 @t20))) % 0.39/0.60 (step @p71 :rule bool-impl-elim :args (@t23 @t20)) % 0.39/0.60 (step @p72 :rule trans :premises (@p71 @p70)) % 0.39/0.60 (step @p73 :rule cong :premises (@p72) :args (@t42)) % 0.39/0.60 (step @p74 :rule nary_cong :premises (@p73 @p68 @p63 @p62) :args (@t43)) % 0.39/0.60 (step @p75 :rule cong :premises (@p74 @p60) :args (@t44)) % 0.39/0.60 (step @p76 :rule cong :premises (@p75) :args (@t45)) % 0.39/0.60 (step @p77 :rule trans :premises (@p76 @p52)) % 0.39/0.60 (step @p78 :rule eq_resolve :premises (@p18 @p77)) % 0.39/0.60 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.n0 @t82))) % 0.39/0.60 (step @p80 :rule cnf_or_neg :args (@t88 0)) % 0.39/0.60 (step @p81 :rule cnf_or_neg :args (@t88 1)) % 0.39/0.60 (step @p82 :rule aci_norm :args ((= (or @t47 @t46) @t81))) % 0.39/0.60 (step @p83 :rule refl :args (@t46)) % 0.39/0.60 (step @p84 :rule bool-double-not-elim :args (@t47)) % 0.39/0.60 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t89 @t46))) % 0.39/0.60 (step @p86 :rule bool-impl-elim :args (@t48 @t46)) % 0.39/0.60 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.60 (step @p88 :rule trans :premises (@p87 @p82)) % 0.39/0.60 (step @p89 :rule cong :premises (@p88) :args (@t49)) % 0.39/0.60 (step @p90 :rule refl :args (@t50)) % 0.39/0.60 (step @p91 :rule bool-impl-elim :args (@t47 @t14)) % 0.39/0.60 (step @p92 :rule cong :premises (@p91) :args (@t51)) % 0.39/0.60 (step @p93 :rule refl :args (@t52)) % 0.39/0.60 (step @p94 :rule nary_cong :premises (@p84 @p93) :args ((or @t89 @t52))) % 0.39/0.60 (step @p95 :rule bool-impl-elim :args (@t48 @t52)) % 0.39/0.60 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.60 (step @p97 :rule cong :premises (@p96) :args (@t53)) % 0.39/0.60 (step @p98 :rule nary_cong :premises (@p97 @p92 @p90) :args (@t54)) % 0.39/0.60 (step @p99 :rule cong :premises (@p98 @p89) :args (@t55)) % 0.39/0.60 (step @p100 :rule cong :premises (@p99) :args (@t56)) % 0.39/0.60 (step @p101 :rule eq_resolve :premises (@p19 @p100)) % 0.39/0.60 (step @p102 :rule not_implies_elim1 :premises (@p101)) % 0.39/0.60 (step @p103 :rule and_elim :premises (@p102) :args (0)) % 0.39/0.60 (step @p104 :rule alpha_equiv :args (@t90 @t91 @t73)) % 0.39/0.60 (step @p105 :rule equiv_elim1 :premises (@p104)) % 0.39/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t92 @t93 (@list @t90))) % 0.39/0.60 (step @p107 :rule aci_norm :args ((= @t100 (or @t98 @t96 @t95)))) % 0.39/0.60 (step @p108 :rule cong :premises (@p107) :args (@t101)) % 0.39/0.60 (step @p109 :rule quant-merge-prenex :args ((= (forall @t8 @t103) @t101))) % 0.39/0.60 (step @p110 :rule alpha_equiv :args (@t104 (@list @t94) @t73)) % 0.39/0.60 (step @p111 :rule refl :args (@t98)) % 0.39/0.60 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t105)) % 0.39/0.60 (step @p113 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.39/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.39/0.60 (step @p115 :rule symm :premises (@p114)) % 0.39/0.60 (step @p116 :rule cong :premises (@p115) :args ((forall @t8 (or @t98 @t106)))) % 0.39/0.60 (step @p117 :rule trans :premises (@p116 @p109)) % 0.39/0.60 (step @p118 :rule trans :premises (@p117 @p108)) % 0.39/0.60 (step @p119 :rule bool-impl-elim :args (@t97 @t106)) % 0.39/0.60 (step @p120 :rule cong :premises (@p119) :args ((forall @t8 (=> @t97 @t106)))) % 0.39/0.60 (step @p121 :rule trans :premises (@p120 @p118)) % 0.39/0.60 (step @p122 :rule refl :args (@t21)) % 0.39/0.60 (step @p123 :rule nary_cong :premises (@p55 @p122) :args ((or @t80 @t21))) % 0.39/0.60 (step @p124 :rule bool-impl-elim :args (@t23 @t21)) % 0.39/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.39/0.60 (step @p126 :rule cong :premises (@p125) :args (@t25)) % 0.39/0.60 (step @p127 :rule refl :args (@t26)) % 0.39/0.60 (step @p128 :rule nary_cong :premises (@p55 @p127) :args ((or @t80 @t26))) % 0.39/0.60 (step @p129 :rule bool-impl-elim :args (@t23 @t26)) % 0.39/0.60 (step @p130 :rule trans :premises (@p129 @p128)) % 0.39/0.60 (step @p131 :rule cong :premises (@p130) :args (@t27)) % 0.39/0.60 (step @p132 :rule cong :premises (@p131 @p126) :args (@t28)) % 0.39/0.60 (step @p133 :rule cong :premises (@p132) :args (@t29)) % 0.39/0.60 (step @p134 :rule trans :premises (@p133 @p121)) % 0.39/0.60 (step @p135 :rule eq_resolve :premises (@p11 @p134)) % 0.39/0.60 (step @p136 :rule instantiate :premises (@p135) :args ((@list tptp.n0 @t85))) % 0.39/0.60 (step @p137 :rule cnf_or_pos :args (@t109)) % 0.39/0.60 (step @p138 :rule reordering :premises (@p137) :args ((or @t108 @t87 @t107 (not @t109)))) % 0.39/0.60 (step @p139 :rule cnf_and_pos :args (@t107 0)) % 0.39/0.60 (step @p140 :rule reordering :premises (@p139) :args ((or @t86 (not @t107)))) % 0.39/0.60 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p136 @p106 @p81 @p80) :args (@t88 (@list false false false true true) (@list @t107 @t109 @t92 @t86 @t87))) % 0.39/0.60 (step @p142 :rule refl :args (@t110)) % 0.39/0.60 (step @p143 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t111) @t110))) % 0.39/0.60 (assume-push @p189 @t111) % 0.39/0.60 (step @p146 :rule skolemize :premises (@p189)) % 0.39/0.60 (step-pop @p190 :rule scope :premises (@p146)) % 0.39/0.60 (step @p147 :rule process_scope :premises (@p190) :args (@t110)) % 0.39/0.60 (step @p149 :rule implies_elim :premises (@p147)) % 0.39/0.60 (step @p150 :rule eq_resolve :premises (@p149 @p144)) % 0.39/0.60 (step @p151 :rule chain_m_resolution :premises (@p150 @p141) :args (@t84 @t93 (@list @t88))) % 0.39/0.60 (step @p152 :rule and_elim :premises (@p102) :args (1)) % 0.39/0.60 (step @p153 :rule alpha_equiv :args (@t112 @t91 @t73)) % 0.39/0.60 (step @p154 :rule equiv_elim1 :premises (@p153)) % 0.39/0.60 (step @p155 :rule chain_m_resolution :premises (@p154 @p152) :args (@t113 @t93 (@list @t112))) % 0.39/0.60 (step @p156 :rule not_implies_elim2 :premises (@p101)) % 0.39/0.60 (step @p157 :rule skolemize :premises (@p156)) % 0.39/0.60 (step @p158 :rule cnf_or_neg :args (@t117 2)) % 0.39/0.60 (step @p159 :rule chain_m_resolution :premises (@p158 @p157) :args ((not @t114) @t118 @t119)) % 0.39/0.60 (step @p160 :rule cnf_or_neg :args (@t117 1)) % 0.39/0.60 (step @p161 :rule chain_m_resolution :premises (@p160 @p157) :args ((not @t115) @t118 @t119)) % 0.39/0.60 (step @p162 :rule cnf_or_neg :args (@t117 0)) % 0.39/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p157) :args ((not @t116) @t118 @t119)) % 0.39/0.60 (step @p164 :rule and_elim :premises (@p102) :args (2)) % 0.39/0.60 (step @p165 :rule cnf_or_pos :args (@t124)) % 0.39/0.60 (step @p166 :rule reordering :premises (@p165) :args ((or @t121 @t116 @t115 @t114 @t120 @t123 @t111 (not @t124)))) % 0.39/0.60 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p163 @p161 @p159 @p155 @p151 @p79) :args (@t123 (@list false true true true false false false) (@list @t50 @t116 @t115 @t114 @t113 @t84 @t124))) % 0.39/0.60 (step @p168 :rule refl :args (@t129)) % 0.39/0.60 (step @p169 :rule bool-double-not-elim :args (@t122)) % 0.39/0.60 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t123) @t129))) % 0.39/0.60 (assume-push @p191 @t123) % 0.39/0.60 (step @p172 :rule skolemize :premises (@p191)) % 0.39/0.60 (step-pop @p192 :rule scope :premises (@p172)) % 0.39/0.60 (step @p173 :rule process_scope :premises (@p192) :args (@t129)) % 0.39/0.60 (step @p175 :rule implies_elim :premises (@p173)) % 0.39/0.60 (step @p176 :rule eq_resolve :premises (@p175 @p170)) % 0.39/0.60 (step @p177 :rule chain_m_resolution :premises (@p176 @p167) :args (@t129 @t118 (@list @t122))) % 0.39/0.60 (step @p178 :rule cnf_or_neg :args (@t128 1)) % 0.39/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p177) :args ((not @t126) @t118 @t130)) % 0.39/0.60 (step @p180 :rule instantiate :premises (@p135) :args ((@list tptp.n0 @t125))) % 0.39/0.60 (step @p181 :rule cnf_or_neg :args (@t128 0)) % 0.39/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p177) :args ((not @t127) @t118 @t130)) % 0.39/0.60 (step @p183 :rule cnf_or_pos :args (@t132)) % 0.39/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t108 @t127 @t131 (not @t132)))) % 0.39/0.60 (step @p185 :rule chain_m_resolution :premises (@p184 @p106 @p182 @p180) :args (@t131 (@list false true false) (@list @t92 @t127 @t132))) % 0.39/0.60 (step @p186 :rule cnf_and_pos :args (@t131 1)) % 0.39/0.60 (step @p187 :rule reordering :premises (@p186) :args ((or @t126 (not @t131)))) % 0.39/0.60 (step @p188 false :rule chain_m_resolution :premises (@p187 @p185 @p179) :args (false (@list false true) (@list @t131 @t126))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------