%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:57 AM UTC 2026 % Result : Theorem 0.43s 0.70s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n010.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Mon Sep 7 14:20:26 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.70 % SZS status Theorem % 0.43/0.70 % SZS output start Proof % 0.43/0.70 ( % 0.43/0.70 (declare-sort $$unsorted 0) % 0.43/0.70 (declare-const tptp.v800 $$unsorted) % 0.43/0.70 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.70 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.val (-> $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.conflict $$unsorted) % 0.43/0.70 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.v0 $$unsorted) % 0.43/0.70 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.v200 $$unsorted) % 0.43/0.70 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.v400 $$unsorted) % 0.43/0.70 (declare-const tptp.compatible $$unsorted) % 0.43/0.70 (declare-const tptp.v600 $$unsorted) % 0.43/0.70 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.70 (declare-const tptp.unknown $$unsorted) % 0.43/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.43/0.70 (define @t2 () (@list @t1)) % 0.43/0.70 (define @t3 () (@var "Z" $$unsorted)) % 0.43/0.70 (define @t4 () (tptp.less @t1 @t3)) % 0.43/0.70 (define @t5 () (@var "Y" $$unsorted)) % 0.43/0.70 (define @t6 () (tptp.less @t5 @t3)) % 0.43/0.70 (define @t7 () (tptp.less @t1 @t5)) % 0.43/0.70 (define @t8 () (@list @t1 @t5 @t3)) % 0.43/0.70 (define @t9 () (= @t1 @t5)) % 0.43/0.70 (define @t10 () (@list @t1 @t5)) % 0.43/0.70 (define @t11 () (tptp.leq @t1 @t5)) % 0.43/0.70 (define @t12 () (forall @t10 (= @t11 (or @t7 @t9)))) % 0.43/0.70 (define @t13 () (tptp.leq @t5 @t1)) % 0.43/0.70 (define @t14 () (and @t11 @t13)) % 0.43/0.70 (define @t15 () (forall @t10 (=> @t14 @t9))) % 0.43/0.70 (define @t16 () (tptp.leq @t5 @t3)) % 0.43/0.70 (define @t17 () (@var "B" $$unsorted)) % 0.43/0.70 (define @t18 () (tptp.leq @t1 @t17)) % 0.43/0.70 (define @t19 () (@var "A" $$unsorted)) % 0.43/0.70 (define @t20 () (tptp.leq @t19 @t1)) % 0.43/0.70 (define @t21 () (@list @t1 @t19 @t17)) % 0.43/0.70 (define @t22 () (tptp.less @t19 @t1)) % 0.43/0.70 (define @t23 () (tptp.less @t1 @t17)) % 0.43/0.70 (define @t24 () (@var "I2hi" $$unsorted)) % 0.43/0.70 (define @t25 () (@var "I2lo" $$unsorted)) % 0.43/0.70 (define @t26 () (tptp.in_closed @t1 @t25 @t24)) % 0.43/0.70 (define @t27 () (@var "I1hi" $$unsorted)) % 0.43/0.70 (define @t28 () (@var "I1lo" $$unsorted)) % 0.43/0.70 (define @t29 () (tptp.in_closed @t1 @t28 @t27)) % 0.43/0.70 (define @t30 () (exists @t2 (and @t29 @t26))) % 0.43/0.70 (define @t31 () (@list @t28 @t27 @t25 @t24)) % 0.43/0.70 (define @t32 () (@var "V" $$unsorted)) % 0.43/0.70 (define @t33 () (@var "V2" $$unsorted)) % 0.43/0.70 (define @t34 () (@var "V1" $$unsorted)) % 0.43/0.70 (define @t35 () (tptp.box_verdict @t34 @t33)) % 0.43/0.70 (define @t36 () (= @t35 tptp.conflict)) % 0.43/0.70 (define @t37 () (= @t33 tptp.conflict)) % 0.43/0.70 (define @t38 () (= @t34 tptp.conflict)) % 0.43/0.70 (define @t39 () (tptp.is_verdict @t33)) % 0.43/0.70 (define @t40 () (tptp.is_verdict @t34)) % 0.43/0.70 (define @t41 () (@list @t34 @t33)) % 0.43/0.70 (define @t42 () (= @t35 tptp.compatible)) % 0.43/0.70 (define @t43 () (= @t35 tptp.unknown)) % 0.43/0.70 (define @t44 () (tptp.less tptp.v0 tptp.v200)) % 0.43/0.70 (define @t45 () (tptp.less tptp.v0 tptp.v800)) % 0.43/0.70 (define @t46 () (tptp.less tptp.v200 tptp.v400)) % 0.43/0.70 (define @t47 () (tptp.less tptp.v600 tptp.v800)) % 0.43/0.70 (define @t48 () (= tptp.v600 tptp.v800)) % 0.43/0.70 (define @t49 () (= tptp.v200 tptp.v400)) % 0.43/0.70 (define @t50 () (tptp.in_lopen @t5 tptp.v0 tptp.v400)) % 0.43/0.70 (define @t51 () (tptp.in_lopen @t1 tptp.v0 tptp.v600)) % 0.43/0.70 (define @t52 () (not @t51)) % 0.43/0.70 (define @t53 () (and @t52 @t50)) % 0.43/0.70 (define @t54 () (not @t50)) % 0.43/0.70 (define @t55 () (and @t51 @t54)) % 0.43/0.70 (define @t56 () (or @t55 @t53)) % 0.43/0.70 (define @t57 () (tptp.in_lopen @t5 tptp.v0 tptp.v200)) % 0.43/0.70 (define @t58 () (tptp.leq tptp.v800 @t1)) % 0.43/0.70 (define @t59 () (and @t58 @t57 @t56)) % 0.43/0.70 (define @t60 () (exists @t10 @t59)) % 0.43/0.70 (define @t61 () (not @t60)) % 0.43/0.70 (define @t62 () (not @t57)) % 0.43/0.70 (define @t63 () (not @t58)) % 0.43/0.70 (define @t64 () (not @t56)) % 0.43/0.70 (define @t65 () (or @t63 @t62 @t64)) % 0.43/0.70 (define @t66 () (forall @t10 (not @t59))) % 0.43/0.70 (define @t67 () (not @t66)) % 0.43/0.70 (define @t68 () (not @t13)) % 0.43/0.70 (define @t69 () (not @t11)) % 0.43/0.70 (define @t70 () (@list tptp.v600 tptp.v800)) % 0.43/0.70 (define @t71 () (or @t47 @t48)) % 0.43/0.70 (define @t72 () (@list false)) % 0.43/0.70 (define @t73 () (tptp.leq tptp.v600 tptp.v800)) % 0.43/0.70 (define @t74 () (= @t73 @t71)) % 0.43/0.70 (define @t75 () (@list false false)) % 0.43/0.70 (define @t76 () (tptp.leq tptp.v800 tptp.v600)) % 0.43/0.70 (define @t77 () (not @t76)) % 0.43/0.70 (define @t78 () (not @t73)) % 0.43/0.70 (define @t79 () (or @t78 @t77 @t48)) % 0.43/0.70 (define @t80 () (and @t45 @t76)) % 0.43/0.70 (define @t81 () (not @t80)) % 0.43/0.70 (define @t82 () (@list true)) % 0.43/0.70 (define @t83 () (tptp.in_lopen tptp.v800 tptp.v0 tptp.v600)) % 0.43/0.70 (define @t84 () (= @t83 @t80)) % 0.43/0.70 (define @t85 () (not @t83)) % 0.43/0.70 (define @t86 () (@list true false)) % 0.43/0.70 (define @t87 () (or @t46 @t49)) % 0.43/0.70 (define @t88 () (tptp.leq tptp.v200 tptp.v400)) % 0.43/0.70 (define @t89 () (= @t88 @t87)) % 0.43/0.70 (define @t90 () (and @t44 @t88)) % 0.43/0.70 (define @t91 () (not @t44)) % 0.43/0.70 (define @t92 () (tptp.in_lopen tptp.v200 tptp.v0 tptp.v400)) % 0.43/0.70 (define @t93 () (= @t92 @t90)) % 0.43/0.70 (define @t94 () (not @t92)) % 0.43/0.70 (define @t95 () (or @t83 @t94)) % 0.43/0.70 (define @t96 () (not @t95)) % 0.43/0.70 (define @t97 () (@list false true)) % 0.43/0.70 (define @t98 () (and (or @t85 @t92) @t95)) % 0.43/0.70 (define @t99 () (not @t98)) % 0.43/0.70 (define @t100 () (tptp.leq tptp.v800 tptp.v800)) % 0.43/0.70 (define @t101 () (tptp.less tptp.v800 tptp.v800)) % 0.43/0.70 (define @t102 () (or @t101 (= tptp.v800 tptp.v800))) % 0.43/0.70 (define @t103 () (= @t100 @t102)) % 0.43/0.70 (define @t104 () (tptp.in_lopen tptp.v200 tptp.v0 tptp.v200)) % 0.43/0.70 (define @t105 () (not @t104)) % 0.43/0.70 (define @t106 () (not @t100)) % 0.43/0.70 (define @t107 () (or @t106 @t105 @t98)) % 0.43/0.70 (define @t108 () (tptp.leq tptp.v200 tptp.v200)) % 0.43/0.70 (define @t109 () (and @t44 @t108)) % 0.43/0.70 (define @t110 () (= @t104 @t109)) % 0.43/0.70 (define @t111 () (not @t109)) % 0.43/0.70 (define @t112 () (not @t108)) % 0.43/0.70 (define @t113 () (tptp.less tptp.v200 tptp.v200)) % 0.43/0.70 (define @t114 () (or @t113 (= tptp.v200 tptp.v200))) % 0.43/0.70 (define @t115 () (= @t108 @t114)) % 0.43/0.70 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.43/0.70 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.43/0.70 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.43/0.70 (assume @p4 @t12) % 0.43/0.70 (assume @p5 @t15) % 0.43/0.70 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.43/0.70 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.43/0.70 (assume @p8 (forall @t8 (=> (and @t7 @t16) @t4))) % 0.43/0.70 (assume @p9 (forall @t8 (=> (and @t11 @t16) (tptp.leq @t1 @t3)))) % 0.43/0.70 (assume @p10 (forall @t21 (= (tptp.in_closed @t1 @t19 @t17) (and @t20 @t18)))) % 0.43/0.70 (assume @p11 (forall @t21 (= (tptp.in_lopen @t1 @t19 @t17) (and @t22 @t18)))) % 0.43/0.70 (assume @p12 (forall @t21 (= (tptp.in_ropen @t1 @t19 @t17) (and @t20 @t23)))) % 0.43/0.70 (assume @p13 (forall @t21 (= (tptp.in_open @t1 @t19 @t17) (and @t22 @t23)))) % 0.43/0.70 (assume @p14 (forall @t31 (= (tptp.axis_conflict @t28 @t27 @t25 @t24) (not @t30)))) % 0.43/0.70 (assume @p15 (forall @t31 (= (tptp.axis_compatible @t28 @t27 @t25 @t24) @t30))) % 0.43/0.70 (assume @p16 (forall @t31 (= (tptp.axis_subsumes @t28 @t27 @t25 @t24) (forall @t2 (=> @t29 @t26))))) % 0.43/0.70 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.43/0.70 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.43/0.70 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.43/0.70 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.43/0.70 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.43/0.70 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.43/0.70 (assume @p23 (forall (@list @t32) (=> (tptp.is_verdict @t32) (or (= @t32 tptp.conflict) (= @t32 tptp.compatible) (= @t32 tptp.unknown))))) % 0.43/0.70 (assume @p24 (forall @t41 (=> (and @t40 @t39 (or @t38 @t37)) @t36))) % 0.43/0.70 (assume @p25 (forall @t41 (=> (and @t40 @t39 (= @t34 tptp.compatible) (= @t33 tptp.compatible)) @t42))) % 0.43/0.70 (assume @p26 (forall @t41 (=> (and @t40 @t39 (or (= @t34 tptp.unknown) (= @t33 tptp.unknown)) (not @t38) (not @t37)) @t43))) % 0.43/0.70 (assume @p27 (forall @t41 (=> (and @t40 @t39) (or @t36 @t42 @t43)))) % 0.43/0.70 (assume @p28 (tptp.val tptp.v0)) % 0.43/0.70 (assume @p29 (tptp.val tptp.v200)) % 0.43/0.70 (assume @p30 (tptp.val tptp.v400)) % 0.43/0.70 (assume @p31 (tptp.val tptp.v600)) % 0.43/0.70 (assume @p32 (tptp.val tptp.v800)) % 0.43/0.70 (assume @p33 @t44) % 0.43/0.70 (assume @p34 (tptp.less tptp.v0 tptp.v400)) % 0.43/0.70 (assume @p35 (tptp.less tptp.v0 tptp.v600)) % 0.43/0.70 (assume @p36 @t45) % 0.43/0.70 (assume @p37 @t46) % 0.43/0.70 (assume @p38 (tptp.less tptp.v200 tptp.v600)) % 0.43/0.70 (assume @p39 (tptp.less tptp.v200 tptp.v800)) % 0.43/0.70 (assume @p40 (tptp.less tptp.v400 tptp.v600)) % 0.43/0.70 (assume @p41 (tptp.less tptp.v400 tptp.v800)) % 0.43/0.70 (assume @p42 @t47) % 0.43/0.70 (assume @p43 (and (not (= tptp.v0 tptp.v200)) (not (= tptp.v0 tptp.v400)) (not (= tptp.v0 tptp.v600)) (not (= tptp.v0 tptp.v800)) (not @t49) (not (= tptp.v200 tptp.v600)) (not (= tptp.v200 tptp.v800)) (not (= tptp.v400 tptp.v600)) (not (= tptp.v400 tptp.v800)) (not @t48))) % 0.43/0.70 (assume @p44 @t61) % 0.43/0.70 (assume @p45 true) % 0.43/0.70 (step @p46 :rule instantiate :premises (@p11) :args ((@list tptp.v200 tptp.v0 tptp.v200))) % 0.43/0.70 (step @p47 :rule bool-double-not-elim :args ((forall @t10 (or @t63 @t62 (and (or @t52 @t50) (or @t51 @t54)))))) % 0.43/0.70 (step @p48 :rule refl :args (@t54)) % 0.43/0.70 (step @p49 :rule bool-double-not-elim :args (@t51)) % 0.43/0.70 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t52) @t54))) % 0.43/0.70 (step @p51 :rule bool-and-de-morgan :args (@t52 @t50 true)) % 0.43/0.70 (step @p52 :rule trans :premises (@p51 @p50)) % 0.43/0.70 (step @p53 :rule bool-double-not-elim :args (@t50)) % 0.43/0.70 (step @p54 :rule refl :args (@t52)) % 0.43/0.70 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t52 (not @t54)))) % 0.43/0.70 (step @p56 :rule bool-and-de-morgan :args (@t51 @t54 true)) % 0.43/0.70 (step @p57 :rule trans :premises (@p56 @p55)) % 0.43/0.70 (step @p58 :rule nary_cong :premises (@p57 @p52) :args ((and (not @t55) (not @t53)))) % 0.43/0.70 (step @p59 :rule bool-or-de-morgan :args (@t55 @t53 false)) % 0.43/0.70 (step @p60 :rule trans :premises (@p59 @p58)) % 0.43/0.70 (step @p61 :rule refl :args (@t62)) % 0.43/0.70 (step @p62 :rule refl :args (@t63)) % 0.43/0.70 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t65)) % 0.43/0.70 (step @p64 :rule aci_norm :args ((= (or @t63 (or @t62 @t64)) @t65))) % 0.43/0.70 (step @p65 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 0.43/0.70 (step @p66 :rule nary_cong :premises (@p62 @p65) :args ((or @t63 (not (and @t57 @t56))))) % 0.43/0.70 (step @p67 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56))) % 0.43/0.70 (step @p68 :rule trans :premises (@p67 @p66)) % 0.43/0.70 (step @p69 :rule trans :premises (@p68 @p64)) % 0.43/0.70 (step @p70 :rule trans :premises (@p69 @p63)) % 0.43/0.70 (step @p71 :rule cong :premises (@p70) :args (@t66)) % 0.43/0.70 (step @p72 :rule cong :premises (@p71) :args (@t67)) % 0.43/0.70 (step @p73 :rule exists-elim :args ((= @t60 @t67))) % 0.43/0.70 (step @p74 :rule trans :premises (@p73 @p72)) % 0.43/0.70 (step @p75 :rule cong :premises (@p74) :args (@t61)) % 0.43/0.70 (step @p76 :rule trans :premises (@p75 @p47)) % 0.43/0.70 (step @p77 :rule eq_resolve :premises (@p44 @p76)) % 0.43/0.70 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.v800 tptp.v200))) % 0.43/0.70 (step @p79 :rule instantiate :premises (@p11) :args ((@list tptp.v800 tptp.v0 tptp.v600))) % 0.43/0.70 (step @p80 :rule aci_norm :args ((= (or (or @t69 @t68) @t9) (or @t69 @t68 @t9)))) % 0.43/0.70 (step @p81 :rule refl :args (@t9)) % 0.43/0.70 (step @p82 :rule bool-and-de-morgan :args (@t11 @t13 true)) % 0.43/0.70 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t14) @t9))) % 0.43/0.70 (step @p84 :rule trans :premises (@p83 @p80)) % 0.43/0.70 (step @p85 :rule bool-impl-elim :args (@t14 @t9)) % 0.43/0.70 (step @p86 :rule trans :premises (@p85 @p84)) % 0.43/0.70 (step @p87 :rule cong :premises (@p86) :args (@t15)) % 0.43/0.70 (step @p88 :rule eq_resolve :premises (@p5 @p87)) % 0.43/0.70 (step @p89 :rule instantiate :premises (@p88) :args (@t70)) % 0.43/0.70 (step @p90 :rule instantiate :premises (@p4) :args (@t70)) % 0.43/0.70 (step @p91 :rule cnf_or_neg :args (@t71 0)) % 0.43/0.70 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t47) @t71))) % 0.43/0.70 (step @p93 :rule chain_m_resolution :premises (@p92 @p42) :args (@t71 @t72 (@list @t47))) % 0.43/0.70 (step @p94 :rule cnf_equiv_pos2 :args (@t74)) % 0.43/0.70 (step @p95 :rule reordering :premises (@p94) :args ((or @t73 (not @t71) (not @t74)))) % 0.43/0.70 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p90) :args (@t73 @t75 (@list @t71 @t74))) % 0.43/0.70 (step @p97 :rule and_elim :premises (@p43) :args (9)) % 0.43/0.70 (step @p98 :rule cnf_or_pos :args (@t79)) % 0.43/0.70 (step @p99 :rule reordering :premises (@p98) :args ((or @t48 @t78 @t77 (not @t79)))) % 0.43/0.70 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96 @p89) :args (@t77 (@list true false false) (@list @t48 @t73 @t79))) % 0.43/0.70 (step @p101 :rule cnf_and_pos :args (@t80 1)) % 0.43/0.70 (step @p102 :rule reordering :premises (@p101) :args ((or @t76 @t81))) % 0.43/0.70 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t81 @t82 (@list @t76))) % 0.43/0.70 (step @p104 :rule cnf_equiv_pos1 :args (@t84)) % 0.43/0.70 (step @p105 :rule reordering :premises (@p104) :args ((or @t80 @t85 (not @t84)))) % 0.43/0.70 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p79) :args (@t85 @t86 (@list @t80 @t84))) % 0.43/0.70 (step @p107 :rule instantiate :premises (@p11) :args ((@list tptp.v200 tptp.v0 tptp.v400))) % 0.43/0.70 (step @p108 :rule instantiate :premises (@p4) :args ((@list tptp.v200 tptp.v400))) % 0.43/0.70 (step @p109 :rule cnf_or_neg :args (@t87 0)) % 0.43/0.70 (step @p110 :rule reordering :premises (@p109) :args ((or (not @t46) @t87))) % 0.43/0.70 (step @p111 :rule chain_m_resolution :premises (@p110 @p37) :args (@t87 @t72 (@list @t46))) % 0.43/0.70 (step @p112 :rule cnf_equiv_pos2 :args (@t89)) % 0.43/0.70 (step @p113 :rule reordering :premises (@p112) :args ((or @t88 (not @t87) (not @t89)))) % 0.43/0.70 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p108) :args (@t88 @t75 (@list @t87 @t89))) % 0.43/0.70 (step @p115 :rule cnf_and_neg :args (@t90)) % 0.43/0.70 (step @p116 :rule reordering :premises (@p115) :args ((or @t91 (not @t88) @t90))) % 0.43/0.70 (step @p117 :rule chain_m_resolution :premises (@p116 @p33 @p114) :args (@t90 @t75 (@list @t44 @t88))) % 0.43/0.70 (step @p118 :rule cnf_equiv_pos2 :args (@t93)) % 0.43/0.70 (step @p119 :rule reordering :premises (@p118) :args ((or @t92 (not @t90) (not @t93)))) % 0.43/0.70 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p107) :args (@t92 @t75 (@list @t90 @t93))) % 0.43/0.70 (step @p121 :rule cnf_or_pos :args (@t95)) % 0.43/0.70 (step @p122 :rule reordering :premises (@p121) :args ((or @t94 @t83 @t96))) % 0.43/0.70 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p106) :args (@t96 @t97 (@list @t92 @t83))) % 0.43/0.70 (step @p124 :rule cnf_and_pos :args (@t98 1)) % 0.43/0.70 (step @p125 :rule reordering :premises (@p124) :args ((or @t95 @t99))) % 0.43/0.70 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t99 @t82 (@list @t95))) % 0.43/0.70 (step @p127 :rule bool-eq-true :args (@t100)) % 0.43/0.70 (step @p128 :rule absorb :args ((= (or @t101 true) true))) % 0.43/0.70 (step @p129 :rule eq-refl :args (tptp.v800)) % 0.43/0.70 (step @p130 :rule refl :args (@t101)) % 0.43/0.70 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t102)) % 0.43/0.70 (step @p132 :rule trans :premises (@p131 @p128)) % 0.43/0.70 (step @p133 :rule refl :args (@t100)) % 0.43/0.70 (step @p134 :rule cong :premises (@p133 @p132) :args (@t103)) % 0.43/0.70 (step @p135 :rule trans :premises (@p134 @p127)) % 0.43/0.70 (step @p136 :rule refl :args (@t12)) % 0.43/0.70 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t12 @t103))) % 0.43/0.70 (assume-push @p171 @t12) % 0.43/0.70 (step @p139 :rule instantiate :premises (@p4) :args ((@list tptp.v800 tptp.v800))) % 0.43/0.70 (step-pop @p172 :rule scope :premises (@p139)) % 0.43/0.70 (step @p140 :rule process_scope :premises (@p172) :args (@t103)) % 0.43/0.70 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.43/0.70 (step @p143 :rule implies_elim :premises (@p142)) % 0.43/0.70 (step @p144 :rule chain_m_resolution :premises (@p143 @p4) :args (@t100 @t72 (@list @t12))) % 0.43/0.70 (step @p145 :rule cnf_or_pos :args (@t107)) % 0.43/0.70 (step @p146 :rule reordering :premises (@p145) :args ((or @t106 @t105 @t98 (not @t107)))) % 0.43/0.70 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p126 @p78) :args (@t105 (@list false true false) (@list @t100 @t98 @t107))) % 0.43/0.70 (step @p148 :rule cnf_equiv_pos2 :args (@t110)) % 0.43/0.70 (step @p149 :rule reordering :premises (@p148) :args ((or @t104 @t111 (not @t110)))) % 0.43/0.70 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p46) :args (@t111 @t86 (@list @t104 @t110))) % 0.43/0.70 (step @p151 :rule cnf_and_neg :args (@t109)) % 0.43/0.70 (step @p152 :rule reordering :premises (@p151) :args ((or @t91 @t112 @t109))) % 0.43/0.70 (step @p153 :rule chain_m_resolution :premises (@p152 @p33 @p150) :args (@t112 @t97 (@list @t44 @t109))) % 0.43/0.70 (step @p154 :rule bool-eq-true :args (@t108)) % 0.43/0.70 (step @p155 :rule absorb :args ((= (or @t113 true) true))) % 0.43/0.70 (step @p156 :rule eq-refl :args (tptp.v200)) % 0.43/0.70 (step @p157 :rule refl :args (@t113)) % 0.43/0.70 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t114)) % 0.43/0.70 (step @p159 :rule trans :premises (@p158 @p155)) % 0.43/0.70 (step @p160 :rule refl :args (@t108)) % 0.43/0.70 (step @p161 :rule cong :premises (@p160 @p159) :args (@t115)) % 0.43/0.70 (step @p162 :rule trans :premises (@p161 @p154)) % 0.43/0.70 (step @p163 :rule cong :premises (@p136 @p162) :args ((=> @t12 @t115))) % 0.43/0.70 (assume-push @p173 @t12) % 0.43/0.70 (step @p165 :rule instantiate :premises (@p4) :args ((@list tptp.v200 tptp.v200))) % 0.43/0.70 (step-pop @p174 :rule scope :premises (@p165)) % 0.43/0.70 (step @p166 :rule process_scope :premises (@p174) :args (@t115)) % 0.43/0.70 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 0.43/0.70 (step @p169 :rule implies_elim :premises (@p168)) % 0.43/0.70 (step @p170 false :rule chain_m_resolution :premises (@p169 @p153 @p4) :args (false @t86 (@list @t108 @t12))) % 0.43/0.71 ) % 0.43/0.71 % SZS output end Proof % 0.43/0.71 % cvc5 exiting %------------------------------------------------------------------------------