%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MED001+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MED001+1 : TPTP v9.2.1. Released v3.2.0. % 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 : n006.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 09:40:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.n0 $$unsorted) % 0.38/0.60 (declare-const tptp.drugbg (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.bcapacityex (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.releaselg (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.bcapacityne (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.qilt27 (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.conditionnormo (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.bcapacitysn (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.drugsu (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.conditionhypo (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.conditionhyper (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.uptakepg (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.uptakelg (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.drugi (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.bsecretioni (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t4 () (@var "X0" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.bcapacitysn @t4)) % 0.38/0.60 (define @t6 () (tptp.bcapacityex @t4)) % 0.38/0.60 (define @t7 () (tptp.bcapacityne @t4)) % 0.38/0.60 (define @t8 () (@list @t4)) % 0.38/0.60 (define @t9 () (not @t6)) % 0.38/0.60 (define @t10 () (not @t7)) % 0.38/0.60 (define @t11 () (not @t5)) % 0.38/0.60 (define @t12 () (tptp.conditionnormo @t4)) % 0.38/0.60 (define @t13 () (tptp.conditionhypo @t4)) % 0.38/0.60 (define @t14 () (tptp.conditionhyper @t4)) % 0.38/0.60 (define @t15 () (not @t13)) % 0.38/0.60 (define @t16 () (not @t14)) % 0.38/0.60 (define @t17 () (not @t12)) % 0.38/0.60 (define @t18 () (@var "X1" $$unsorted)) % 0.38/0.60 (define @t19 () (tptp.uptakepg @t18)) % 0.38/0.60 (define @t20 () (tptp.uptakelg @t18)) % 0.38/0.60 (define @t21 () (tptp.gt @t4 @t18)) % 0.38/0.60 (define @t22 () (not @t21)) % 0.38/0.60 (define @t23 () (@list @t18)) % 0.38/0.60 (define @t24 () (not (tptp.releaselg @t18))) % 0.38/0.60 (define @t25 () (tptp.bsecretioni @t18)) % 0.38/0.60 (define @t26 () (forall @t23 (=> @t22 @t25))) % 0.38/0.60 (define @t27 () (tptp.drugsu @t18)) % 0.38/0.60 (define @t28 () (forall @t23 (=> @t22 @t27))) % 0.38/0.60 (define @t29 () (and @t28 @t9)) % 0.38/0.60 (define @t30 () (=> @t29 @t26)) % 0.38/0.60 (define @t31 () (forall @t8 @t30)) % 0.38/0.60 (define @t32 () (forall @t23 (=> @t22 @t24))) % 0.38/0.60 (define @t33 () (tptp.conditionnormo @t18)) % 0.38/0.60 (define @t34 () (forall @t23 (=> @t22 @t33))) % 0.38/0.60 (define @t35 () (tptp.conditionhyper @t18)) % 0.38/0.60 (define @t36 () (forall @t23 (=> @t21 @t35))) % 0.38/0.60 (define @t37 () (tptp.qilt27 @t4)) % 0.38/0.60 (define @t38 () (and @t26 @t5 @t37 @t36)) % 0.38/0.60 (define @t39 () (=> @t38 @t34)) % 0.38/0.60 (define @t40 () (forall @t8 @t39)) % 0.38/0.60 (define @t41 () (not @t37)) % 0.38/0.60 (define @t42 () (forall @t23 (=> @t22 @t19))) % 0.38/0.60 (define @t43 () (tptp.gt tptp.n0 @t4)) % 0.38/0.60 (define @t44 () (not @t43)) % 0.38/0.60 (define @t45 () (forall @t8 (=> @t44 @t12))) % 0.38/0.60 (define @t46 () (tptp.qilt27 tptp.n0)) % 0.38/0.60 (define @t47 () (tptp.bcapacitysn tptp.n0)) % 0.38/0.60 (define @t48 () (forall @t8 (=> @t43 @t14))) % 0.38/0.60 (define @t49 () (tptp.drugsu @t4)) % 0.38/0.60 (define @t50 () (forall @t8 (=> @t44 @t49))) % 0.38/0.60 (define @t51 () (and @t50 @t48 @t47 @t46)) % 0.38/0.60 (define @t52 () (=> @t51 @t45)) % 0.38/0.60 (define @t53 () (not @t52)) % 0.38/0.60 (define @t54 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 0.38/0.60 (define @t55 () (tptp.bsecretioni @t54)) % 0.38/0.60 (define @t56 () (tptp.gt @t4 @t54)) % 0.38/0.60 (define @t57 () (forall @t23 (or @t21 @t27))) % 0.38/0.60 (define @t58 () (not @t57)) % 0.38/0.60 (define @t59 () (or @t58 @t6 @t56 @t55)) % 0.38/0.60 (define @t60 () (or @t56 @t55)) % 0.38/0.60 (define @t61 () (or @t58 @t6 @t60)) % 0.38/0.60 (define @t62 () (@list @t4 @t54)) % 0.38/0.60 (define @t63 () (forall @t62 @t61)) % 0.38/0.60 (define @t64 () (@list @t54)) % 0.38/0.60 (define @t65 () (forall @t64 @t61)) % 0.38/0.60 (define @t66 () (forall @t64 @t60)) % 0.38/0.60 (define @t67 () (@list @t18)) % 0.38/0.60 (define @t68 () (or @t58 @t6 @t66)) % 0.38/0.60 (define @t69 () (forall @t23 (or @t21 @t25))) % 0.38/0.60 (define @t70 () (or @t58 @t6 @t69)) % 0.38/0.60 (define @t71 () (and @t57 @t9)) % 0.38/0.60 (define @t72 () (not @t22)) % 0.38/0.60 (define @t73 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.38/0.60 (define @t74 () (tptp.conditionnormo @t73)) % 0.38/0.60 (define @t75 () (tptp.gt @t4 @t73)) % 0.38/0.60 (define @t76 () (forall @t23 (or @t22 @t35))) % 0.38/0.60 (define @t77 () (not @t76)) % 0.38/0.60 (define @t78 () (not @t69)) % 0.38/0.60 (define @t79 () (or @t75 @t74)) % 0.38/0.60 (define @t80 () (or @t78 @t11 @t41 @t77 @t79)) % 0.38/0.60 (define @t81 () (forall (@list @t4 @t73) @t80)) % 0.38/0.60 (define @t82 () (@list @t73)) % 0.38/0.60 (define @t83 () (forall @t82 @t80)) % 0.38/0.60 (define @t84 () (forall @t82 @t79)) % 0.38/0.60 (define @t85 () (or @t78 @t11 @t41 @t77 @t84)) % 0.38/0.60 (define @t86 () (forall @t23 (or @t21 @t33))) % 0.38/0.60 (define @t87 () (or @t78 @t11 @t41 @t77 @t86)) % 0.38/0.60 (define @t88 () (or @t78 @t11 @t41 @t77)) % 0.38/0.60 (define @t89 () (and @t69 @t5 @t37 @t76)) % 0.38/0.60 (define @t90 () (@quantifiers_skolemize (forall @t8 (or @t43 @t12)) 0)) % 0.38/0.60 (define @t91 () (not @t44)) % 0.38/0.60 (define @t92 () (forall @t8 (or @t44 @t14))) % 0.38/0.60 (define @t93 () (@list @t4)) % 0.38/0.60 (define @t94 () (tptp.gt tptp.n0 @t18)) % 0.38/0.60 (define @t95 () (forall @t23 (or (not @t94) @t35))) % 0.38/0.60 (define @t96 () (@list false)) % 0.38/0.60 (define @t97 () (tptp.conditionnormo @t90)) % 0.38/0.60 (define @t98 () (tptp.gt tptp.n0 @t90)) % 0.38/0.60 (define @t99 () (or @t98 @t97)) % 0.38/0.60 (define @t100 () (@list true)) % 0.38/0.60 (define @t101 () (@list @t99)) % 0.38/0.60 (define @t102 () (not @t95)) % 0.38/0.60 (define @t103 () (not @t46)) % 0.38/0.60 (define @t104 () (not @t47)) % 0.38/0.60 (define @t105 () (forall @t23 (or @t94 @t25))) % 0.38/0.60 (define @t106 () (not @t105)) % 0.38/0.60 (define @t107 () (or @t106 @t104 @t103 @t102 @t98 @t97)) % 0.38/0.60 (define @t108 () (@quantifiers_skolemize @t105 0)) % 0.38/0.60 (define @t109 () (tptp.bsecretioni @t108)) % 0.38/0.60 (define @t110 () (tptp.gt tptp.n0 @t108)) % 0.38/0.60 (define @t111 () (or @t110 @t109)) % 0.38/0.60 (define @t112 () (@list @t111)) % 0.38/0.60 (define @t113 () (forall @t8 (or @t43 @t49))) % 0.38/0.60 (define @t114 () (forall @t23 (or @t94 @t27))) % 0.38/0.60 (define @t115 () (tptp.bcapacityex tptp.n0)) % 0.38/0.60 (define @t116 () (not @t115)) % 0.38/0.60 (define @t117 () (or @t116 @t104)) % 0.38/0.60 (define @t118 () (not @t114)) % 0.38/0.60 (define @t119 () (or @t118 @t115 @t110 @t109)) % 0.38/0.60 (define @t120 () (not @t119)) % 0.38/0.60 (define @t121 () (forall @t62 @t59)) % 0.38/0.60 (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1)))) % 0.38/0.60 (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2)))) % 0.38/0.60 (assume @p3 (forall @t8 (or @t7 @t6 @t5))) % 0.38/0.60 (assume @p4 (forall @t8 (or @t10 @t9))) % 0.38/0.60 (assume @p5 (forall @t8 (or @t10 @t11))) % 0.38/0.60 (assume @p6 (forall @t8 (or @t9 @t11))) % 0.38/0.60 (assume @p7 (forall @t8 (or @t14 @t13 @t12))) % 0.38/0.60 (assume @p8 (forall @t8 (or @t16 @t15))) % 0.38/0.60 (assume @p9 (forall @t8 (or @t16 @t17))) % 0.38/0.60 (assume @p10 (forall @t8 (or @t15 @t17))) % 0.38/0.60 (assume @p11 (forall @t8 (=> (forall @t23 (=> @t22 (tptp.drugi @t18))) (forall @t23 (=> @t22 (and @t20 @t19)))))) % 0.38/0.60 (assume @p12 (forall (@list @t4 @t18) (=> @t22 (=> @t20 @t24)))) % 0.38/0.60 (assume @p13 @t31) % 0.38/0.60 (assume @p14 (forall @t8 (=> (forall @t23 (=> @t22 (tptp.drugbg @t18))) @t32))) % 0.38/0.60 (assume @p15 @t40) % 0.38/0.60 (assume @p16 (forall @t8 (=> (and @t32 @t5 @t41 @t36) @t34))) % 0.38/0.60 (assume @p17 (forall @t8 (=> (and (or @t32 @t42) @t7 @t26 @t36) @t34))) % 0.38/0.60 (assume @p18 (forall @t8 (=> (and (forall @t23 (=> @t22 @t20)) @t42 @t6 @t36) (forall @t23 (=> @t22 (or @t33 (tptp.conditionhypo @t18))))))) % 0.38/0.60 (assume @p19 @t53) % 0.38/0.60 (assume @p20 true) % 0.38/0.60 (step @p21 :rule aci_norm :args ((= @t61 @t59))) % 0.38/0.60 (step @p22 :rule cong :premises (@p21) :args (@t63)) % 0.38/0.60 (step @p23 :rule quant-merge-prenex :args ((= (forall @t8 @t65) @t63))) % 0.38/0.60 (step @p24 :rule alpha_equiv :args (@t66 (@list @t54) @t67)) % 0.38/0.60 (step @p25 :rule refl :args (@t6)) % 0.38/0.60 (step @p26 :rule refl :args (@t58)) % 0.38/0.60 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t68)) % 0.38/0.60 (step @p28 :rule quant-miniscope-or :args ((= @t65 @t68))) % 0.38/0.60 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.60 (step @p30 :rule symm :premises (@p29)) % 0.38/0.60 (step @p31 :rule cong :premises (@p30) :args ((forall @t8 @t70))) % 0.38/0.60 (step @p32 :rule trans :premises (@p31 @p23)) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p22)) % 0.38/0.60 (step @p34 :rule aci_norm :args ((= (or (or @t58 @t6) @t69) @t70))) % 0.38/0.60 (step @p35 :rule refl :args (@t69)) % 0.38/0.60 (step @p36 :rule bool-double-not-elim :args (@t6)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p26 @p36) :args ((or @t58 (not @t9)))) % 0.38/0.60 (step @p38 :rule bool-and-de-morgan :args (@t57 @t9 true)) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.60 (step @p40 :rule nary_cong :premises (@p39 @p35) :args ((or (not @t71) @t69))) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p34)) % 0.38/0.60 (step @p42 :rule bool-impl-elim :args (@t71 @t69)) % 0.38/0.60 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43) :args ((forall @t8 (=> @t71 @t69)))) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p33)) % 0.38/0.60 (step @p46 :rule refl :args (@t25)) % 0.38/0.60 (step @p47 :rule bool-double-not-elim :args (@t21)) % 0.38/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t72 @t25))) % 0.38/0.60 (step @p49 :rule bool-impl-elim :args (@t22 @t25)) % 0.38/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50) :args (@t26)) % 0.38/0.60 (step @p52 :rule refl :args (@t9)) % 0.38/0.60 (step @p53 :rule refl :args (@t27)) % 0.38/0.60 (step @p54 :rule nary_cong :premises (@p47 @p53) :args ((or @t72 @t27))) % 0.38/0.60 (step @p55 :rule bool-impl-elim :args (@t22 @t27)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t28)) % 0.38/0.60 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t29)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58 @p51) :args (@t30)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args (@t31)) % 0.38/0.60 (step @p61 :rule trans :premises (@p60 @p45)) % 0.38/0.60 (step @p62 :rule eq_resolve :premises (@p13 @p61)) % 0.38/0.60 (step @p63 :rule aci_norm :args ((= @t80 (or @t78 @t11 @t41 @t77 @t75 @t74)))) % 0.38/0.60 (step @p64 :rule cong :premises (@p63) :args (@t81)) % 0.38/0.60 (step @p65 :rule quant-merge-prenex :args ((= (forall @t8 @t83) @t81))) % 0.38/0.60 (step @p66 :rule alpha_equiv :args (@t84 (@list @t73) @t67)) % 0.38/0.60 (step @p67 :rule refl :args (@t77)) % 0.38/0.60 (step @p68 :rule refl :args (@t41)) % 0.38/0.60 (step @p69 :rule refl :args (@t11)) % 0.38/0.60 (step @p70 :rule refl :args (@t78)) % 0.38/0.60 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67 @p66) :args (@t85)) % 0.38/0.60 (step @p72 :rule quant-miniscope-or :args ((= @t83 @t85))) % 0.38/0.60 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.60 (step @p74 :rule symm :premises (@p73)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args ((forall @t8 @t87))) % 0.38/0.60 (step @p76 :rule trans :premises (@p75 @p65)) % 0.38/0.60 (step @p77 :rule trans :premises (@p76 @p64)) % 0.38/0.60 (step @p78 :rule aci_norm :args ((= (or @t88 @t86) @t87))) % 0.38/0.60 (step @p79 :rule refl :args (@t86)) % 0.38/0.60 (step @p80 :rule aci_norm :args ((= (or @t78 (or @t11 (or @t41 @t77))) @t88))) % 0.38/0.60 (step @p81 :rule bool-and-de-morgan :args (@t37 @t76 true)) % 0.38/0.60 (step @p82 :rule nary_cong :premises (@p69 @p81) :args ((or @t11 (not (and @t37 @t76))))) % 0.38/0.60 (step @p83 :rule bool-and-de-morgan :args (@t5 @t37 (and @t76))) % 0.38/0.60 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.60 (step @p85 :rule nary_cong :premises (@p70 @p84) :args ((or @t78 (not (and @t5 @t37 @t76))))) % 0.38/0.60 (step @p86 :rule bool-and-de-morgan :args (@t69 @t5 (and @t37 @t76))) % 0.38/0.60 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p80)) % 0.38/0.60 (step @p89 :rule nary_cong :premises (@p88 @p79) :args ((or (not @t89) @t86))) % 0.38/0.60 (step @p90 :rule trans :premises (@p89 @p78)) % 0.38/0.60 (step @p91 :rule bool-impl-elim :args (@t89 @t86)) % 0.38/0.60 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.60 (step @p93 :rule cong :premises (@p92) :args ((forall @t8 (=> @t89 @t86)))) % 0.38/0.60 (step @p94 :rule trans :premises (@p93 @p77)) % 0.38/0.60 (step @p95 :rule refl :args (@t33)) % 0.38/0.60 (step @p96 :rule nary_cong :premises (@p47 @p95) :args ((or @t72 @t33))) % 0.38/0.60 (step @p97 :rule bool-impl-elim :args (@t22 @t33)) % 0.38/0.60 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.60 (step @p99 :rule cong :premises (@p98) :args (@t34)) % 0.38/0.60 (step @p100 :rule bool-impl-elim :args (@t21 @t35)) % 0.38/0.60 (step @p101 :rule cong :premises (@p100) :args (@t36)) % 0.38/0.60 (step @p102 :rule refl :args (@t37)) % 0.38/0.60 (step @p103 :rule refl :args (@t5)) % 0.38/0.60 (step @p104 :rule nary_cong :premises (@p51 @p103 @p102 @p101) :args (@t38)) % 0.38/0.60 (step @p105 :rule cong :premises (@p104 @p99) :args (@t39)) % 0.38/0.60 (step @p106 :rule cong :premises (@p105) :args (@t40)) % 0.38/0.60 (step @p107 :rule trans :premises (@p106 @p94)) % 0.38/0.60 (step @p108 :rule eq_resolve :premises (@p15 @p107)) % 0.38/0.60 (step @p109 :rule instantiate :premises (@p108) :args ((@list tptp.n0 @t90))) % 0.38/0.60 (step @p110 :rule refl :args (@t12)) % 0.38/0.60 (step @p111 :rule bool-double-not-elim :args (@t43)) % 0.38/0.60 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t91 @t12))) % 0.38/0.60 (step @p113 :rule bool-impl-elim :args (@t44 @t12)) % 0.38/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.38/0.60 (step @p115 :rule cong :premises (@p114) :args (@t45)) % 0.38/0.60 (step @p116 :rule refl :args (@t46)) % 0.38/0.60 (step @p117 :rule refl :args (@t47)) % 0.38/0.60 (step @p118 :rule bool-impl-elim :args (@t43 @t14)) % 0.38/0.60 (step @p119 :rule cong :premises (@p118) :args (@t48)) % 0.38/0.60 (step @p120 :rule refl :args (@t49)) % 0.38/0.60 (step @p121 :rule nary_cong :premises (@p111 @p120) :args ((or @t91 @t49))) % 0.38/0.60 (step @p122 :rule bool-impl-elim :args (@t44 @t49)) % 0.38/0.60 (step @p123 :rule trans :premises (@p122 @p121)) % 0.38/0.60 (step @p124 :rule cong :premises (@p123) :args (@t50)) % 0.38/0.60 (step @p125 :rule nary_cong :premises (@p124 @p119 @p117 @p116) :args (@t51)) % 0.38/0.60 (step @p126 :rule cong :premises (@p125 @p115) :args (@t52)) % 0.38/0.60 (step @p127 :rule cong :premises (@p126) :args (@t53)) % 0.38/0.60 (step @p128 :rule eq_resolve :premises (@p19 @p127)) % 0.38/0.60 (step @p129 :rule not_implies_elim1 :premises (@p128)) % 0.38/0.60 (step @p130 :rule and_elim :premises (@p129) :args (1)) % 0.38/0.60 (step @p131 :rule alpha_equiv :args (@t92 @t93 @t67)) % 0.38/0.60 (step @p132 :rule equiv_elim1 :premises (@p131)) % 0.38/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t95 @t96 (@list @t92))) % 0.38/0.60 (step @p134 :rule not_implies_elim2 :premises (@p128)) % 0.38/0.60 (step @p135 :rule skolemize :premises (@p134)) % 0.38/0.60 (step @p136 :rule cnf_or_neg :args (@t99 1)) % 0.38/0.60 (step @p137 :rule chain_m_resolution :premises (@p136 @p135) :args ((not @t97) @t100 @t101)) % 0.38/0.60 (step @p138 :rule cnf_or_neg :args (@t99 0)) % 0.38/0.60 (step @p139 :rule chain_m_resolution :premises (@p138 @p135) :args ((not @t98) @t100 @t101)) % 0.38/0.60 (step @p140 :rule and_elim :premises (@p129) :args (3)) % 0.38/0.60 (step @p141 :rule and_elim :premises (@p129) :args (2)) % 0.38/0.60 (step @p142 :rule cnf_or_pos :args (@t107)) % 0.38/0.60 (step @p143 :rule reordering :premises (@p142) :args ((or @t104 @t103 @t98 @t97 @t106 @t102 (not @t107)))) % 0.38/0.60 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p140 @p139 @p137 @p133 @p109) :args (@t106 (@list false false true true false false) (@list @t47 @t46 @t98 @t97 @t95 @t107))) % 0.38/0.60 (step @p145 :rule skolemize :premises (@p144)) % 0.38/0.60 (step @p146 :rule cnf_or_neg :args (@t111 1)) % 0.38/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p145) :args ((not @t109) @t100 @t112)) % 0.38/0.60 (step @p148 :rule cnf_or_neg :args (@t111 0)) % 0.38/0.60 (step @p149 :rule chain_m_resolution :premises (@p148 @p145) :args ((not @t110) @t100 @t112)) % 0.38/0.60 (step @p150 :rule and_elim :premises (@p129) :args (0)) % 0.38/0.60 (step @p151 :rule alpha_equiv :args (@t113 @t93 @t67)) % 0.38/0.60 (step @p152 :rule equiv_elim1 :premises (@p151)) % 0.38/0.60 (step @p153 :rule chain_m_resolution :premises (@p152 @p150) :args (@t114 @t96 (@list @t113))) % 0.38/0.60 (step @p154 :rule instantiate :premises (@p6) :args ((@list tptp.n0))) % 0.38/0.60 (step @p155 :rule cnf_or_pos :args (@t117)) % 0.38/0.60 (step @p156 :rule reordering :premises (@p155) :args ((or @t104 @t116 (not @t117)))) % 0.38/0.60 (step @p157 :rule chain_m_resolution :premises (@p156 @p141 @p154) :args (@t116 (@list false false) (@list @t47 @t117))) % 0.38/0.60 (step @p158 :rule cnf_or_pos :args (@t119)) % 0.38/0.60 (step @p159 :rule reordering :premises (@p158) :args ((or @t115 @t118 @t110 @t109 @t120))) % 0.38/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p153 @p149 @p147) :args (@t120 (@list true false true true) (@list @t115 @t114 @t110 @t109))) % 0.38/0.60 (assume-push @p167 @t121) % 0.38/0.60 (step @p162 :rule instantiate :premises (@p62) :args ((@list tptp.n0 @t108))) % 0.38/0.60 (step-pop @p168 :rule scope :premises (@p162)) % 0.38/0.60 (step @p163 :rule process_scope :premises (@p168) :args (@t119)) % 0.38/0.60 (step @p165 :rule implies_elim :premises (@p163)) % 0.38/0.60 (step @p166 false :rule chain_m_resolution :premises (@p165 @p160 @p62) :args (false (@list true false) (@list @t119 @t121))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------