%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 06:04:56 AM UTC 2026 % Result : Theorem 0.64s 1.02s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n027.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Mon Sep 7 14:18:00 UTC 2026 % 0.11/0.36 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.64/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/1.02 % SZS status Theorem % 0.64/1.02 % SZS output start Proof % 0.64/1.02 ( % 0.64/1.02 (declare-sort $$unsorted 0) % 0.64/1.02 (declare-const tptp.v800 $$unsorted) % 0.64/1.02 (declare-const tptp.v600 $$unsorted) % 0.64/1.02 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.64/1.02 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.v1200 $$unsorted) % 0.64/1.02 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.val (-> $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.conflict $$unsorted) % 0.64/1.02 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.v0 $$unsorted) % 0.64/1.02 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.v16 $$unsorted) % 0.64/1.02 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.v32 $$unsorted) % 0.64/1.02 (declare-const tptp.compatible $$unsorted) % 0.64/1.02 (declare-const tptp.v400 $$unsorted) % 0.64/1.02 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/1.02 (declare-const tptp.unknown $$unsorted) % 0.64/1.02 (define @t1 () (@var "X" $$unsorted)) % 0.64/1.02 (define @t2 () (@list @t1)) % 0.64/1.02 (define @t3 () (@var "Z" $$unsorted)) % 0.64/1.02 (define @t4 () (tptp.less @t1 @t3)) % 0.64/1.02 (define @t5 () (@var "Y" $$unsorted)) % 0.64/1.02 (define @t6 () (tptp.less @t5 @t3)) % 0.64/1.02 (define @t7 () (tptp.less @t1 @t5)) % 0.64/1.02 (define @t8 () (@list @t1 @t5 @t3)) % 0.64/1.02 (define @t9 () (= @t1 @t5)) % 0.64/1.02 (define @t10 () (@list @t1 @t5)) % 0.64/1.02 (define @t11 () (tptp.leq @t1 @t5)) % 0.64/1.02 (define @t12 () (forall @t10 (= @t11 (or @t7 @t9)))) % 0.64/1.02 (define @t13 () (tptp.leq @t5 @t1)) % 0.64/1.02 (define @t14 () (and @t11 @t13)) % 0.64/1.02 (define @t15 () (forall @t10 (=> @t14 @t9))) % 0.64/1.02 (define @t16 () (tptp.leq @t5 @t3)) % 0.64/1.02 (define @t17 () (@var "B" $$unsorted)) % 0.64/1.02 (define @t18 () (tptp.leq @t1 @t17)) % 0.64/1.02 (define @t19 () (@var "A" $$unsorted)) % 0.64/1.02 (define @t20 () (tptp.leq @t19 @t1)) % 0.64/1.02 (define @t21 () (@list @t1 @t19 @t17)) % 0.64/1.02 (define @t22 () (tptp.less @t19 @t1)) % 0.64/1.02 (define @t23 () (tptp.less @t1 @t17)) % 0.64/1.02 (define @t24 () (@var "I2hi" $$unsorted)) % 0.64/1.02 (define @t25 () (@var "I2lo" $$unsorted)) % 0.64/1.02 (define @t26 () (tptp.in_closed @t1 @t25 @t24)) % 0.64/1.02 (define @t27 () (@var "I1hi" $$unsorted)) % 0.64/1.02 (define @t28 () (@var "I1lo" $$unsorted)) % 0.64/1.02 (define @t29 () (tptp.in_closed @t1 @t28 @t27)) % 0.64/1.02 (define @t30 () (exists @t2 (and @t29 @t26))) % 0.64/1.02 (define @t31 () (@list @t28 @t27 @t25 @t24)) % 0.64/1.02 (define @t32 () (@var "V" $$unsorted)) % 0.64/1.02 (define @t33 () (@var "V2" $$unsorted)) % 0.64/1.02 (define @t34 () (@var "V1" $$unsorted)) % 0.64/1.02 (define @t35 () (tptp.box_verdict @t34 @t33)) % 0.64/1.02 (define @t36 () (= @t35 tptp.conflict)) % 0.64/1.02 (define @t37 () (= @t33 tptp.conflict)) % 0.64/1.02 (define @t38 () (= @t34 tptp.conflict)) % 0.64/1.02 (define @t39 () (tptp.is_verdict @t33)) % 0.64/1.02 (define @t40 () (tptp.is_verdict @t34)) % 0.64/1.02 (define @t41 () (@list @t34 @t33)) % 0.64/1.02 (define @t42 () (= @t35 tptp.compatible)) % 0.64/1.02 (define @t43 () (= @t35 tptp.unknown)) % 0.64/1.02 (define @t44 () (tptp.less tptp.v0 tptp.v32)) % 0.64/1.02 (define @t45 () (tptp.less tptp.v0 tptp.v400)) % 0.64/1.02 (define @t46 () (tptp.less tptp.v16 tptp.v32)) % 0.64/1.02 (define @t47 () (tptp.less tptp.v32 tptp.v400)) % 0.64/1.02 (define @t48 () (tptp.less tptp.v400 tptp.v600)) % 0.64/1.02 (define @t49 () (= tptp.v400 tptp.v600)) % 0.64/1.02 (define @t50 () (= tptp.v32 tptp.v400)) % 0.64/1.02 (define @t51 () (= tptp.v16 tptp.v32)) % 0.64/1.02 (define @t52 () (and (tptp.in_lopen @t1 tptp.v0 tptp.v1200) (tptp.in_lopen @t5 tptp.v0 tptp.v800) (tptp.in_lopen @t3 tptp.v0 tptp.v16))) % 0.64/1.02 (define @t53 () (not @t52)) % 0.64/1.02 (define @t54 () (tptp.in_lopen @t3 tptp.v0 tptp.v32)) % 0.64/1.02 (define @t55 () (tptp.in_lopen @t5 tptp.v0 tptp.v400)) % 0.64/1.02 (define @t56 () (tptp.in_lopen @t1 tptp.v0 tptp.v600)) % 0.64/1.02 (define @t57 () (and @t56 @t55 @t54 @t53)) % 0.64/1.02 (define @t58 () (exists @t8 @t57)) % 0.64/1.02 (define @t59 () (not @t58)) % 0.64/1.02 (define @t60 () (not @t54)) % 0.64/1.02 (define @t61 () (not @t55)) % 0.64/1.02 (define @t62 () (not @t56)) % 0.64/1.02 (define @t63 () (not @t53)) % 0.64/1.02 (define @t64 () (or @t62 @t61 @t60 @t63)) % 0.64/1.02 (define @t65 () (forall @t8 (not @t57))) % 0.64/1.02 (define @t66 () (not @t65)) % 0.64/1.02 (define @t67 () (not @t13)) % 0.64/1.02 (define @t68 () (not @t11)) % 0.64/1.02 (define @t69 () (@list tptp.v16 tptp.v32)) % 0.64/1.02 (define @t70 () (or @t46 @t51)) % 0.64/1.02 (define @t71 () (@list false)) % 0.64/1.02 (define @t72 () (tptp.leq tptp.v16 tptp.v32)) % 0.64/1.02 (define @t73 () (= @t72 @t70)) % 0.64/1.02 (define @t74 () (@list false false)) % 0.64/1.02 (define @t75 () (tptp.leq tptp.v32 tptp.v16)) % 0.64/1.02 (define @t76 () (not @t75)) % 0.64/1.02 (define @t77 () (not @t72)) % 0.64/1.02 (define @t78 () (or @t77 @t76 @t51)) % 0.64/1.02 (define @t79 () (and @t44 @t75)) % 0.64/1.02 (define @t80 () (not @t79)) % 0.64/1.02 (define @t81 () (@list true)) % 0.64/1.02 (define @t82 () (tptp.in_lopen tptp.v32 tptp.v0 tptp.v16)) % 0.64/1.02 (define @t83 () (= @t82 @t79)) % 0.64/1.02 (define @t84 () (not @t82)) % 0.64/1.02 (define @t85 () (@list true false)) % 0.64/1.02 (define @t86 () (and (tptp.in_lopen tptp.v400 tptp.v0 tptp.v1200) (tptp.in_lopen tptp.v32 tptp.v0 tptp.v800) @t82)) % 0.64/1.02 (define @t87 () (not @t86)) % 0.64/1.02 (define @t88 () (or @t48 @t49)) % 0.64/1.02 (define @t89 () (tptp.leq tptp.v400 tptp.v600)) % 0.64/1.02 (define @t90 () (= @t89 @t88)) % 0.64/1.02 (define @t91 () (and @t45 @t89)) % 0.64/1.02 (define @t92 () (tptp.in_lopen tptp.v400 tptp.v0 tptp.v600)) % 0.64/1.02 (define @t93 () (= @t92 @t91)) % 0.64/1.02 (define @t94 () (or @t47 @t50)) % 0.64/1.02 (define @t95 () (tptp.leq tptp.v32 tptp.v400)) % 0.64/1.02 (define @t96 () (= @t95 @t94)) % 0.64/1.02 (define @t97 () (and @t44 @t95)) % 0.64/1.02 (define @t98 () (not @t44)) % 0.64/1.02 (define @t99 () (tptp.in_lopen tptp.v32 tptp.v0 tptp.v400)) % 0.64/1.02 (define @t100 () (= @t99 @t97)) % 0.64/1.02 (define @t101 () (tptp.in_lopen tptp.v32 tptp.v0 tptp.v32)) % 0.64/1.02 (define @t102 () (not @t101)) % 0.64/1.02 (define @t103 () (not @t99)) % 0.64/1.02 (define @t104 () (not @t92)) % 0.64/1.02 (define @t105 () (or @t104 @t103 @t102 @t86)) % 0.64/1.02 (define @t106 () (tptp.leq tptp.v32 tptp.v32)) % 0.64/1.02 (define @t107 () (and @t44 @t106)) % 0.64/1.02 (define @t108 () (= @t101 @t107)) % 0.64/1.02 (define @t109 () (not @t107)) % 0.64/1.02 (define @t110 () (not @t106)) % 0.64/1.02 (define @t111 () (tptp.less tptp.v32 tptp.v32)) % 0.64/1.02 (define @t112 () (or @t111 (= tptp.v32 tptp.v32))) % 0.64/1.02 (define @t113 () (= @t106 @t112)) % 0.64/1.02 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.64/1.02 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.64/1.02 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.64/1.02 (assume @p4 @t12) % 0.64/1.02 (assume @p5 @t15) % 0.64/1.02 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.64/1.02 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.64/1.02 (assume @p8 (forall @t8 (=> (and @t7 @t16) @t4))) % 0.64/1.02 (assume @p9 (forall @t8 (=> (and @t11 @t16) (tptp.leq @t1 @t3)))) % 0.64/1.02 (assume @p10 (forall @t21 (= (tptp.in_closed @t1 @t19 @t17) (and @t20 @t18)))) % 0.64/1.02 (assume @p11 (forall @t21 (= (tptp.in_lopen @t1 @t19 @t17) (and @t22 @t18)))) % 0.64/1.02 (assume @p12 (forall @t21 (= (tptp.in_ropen @t1 @t19 @t17) (and @t20 @t23)))) % 0.64/1.02 (assume @p13 (forall @t21 (= (tptp.in_open @t1 @t19 @t17) (and @t22 @t23)))) % 0.64/1.02 (assume @p14 (forall @t31 (= (tptp.axis_conflict @t28 @t27 @t25 @t24) (not @t30)))) % 0.64/1.02 (assume @p15 (forall @t31 (= (tptp.axis_compatible @t28 @t27 @t25 @t24) @t30))) % 0.64/1.02 (assume @p16 (forall @t31 (= (tptp.axis_subsumes @t28 @t27 @t25 @t24) (forall @t2 (=> @t29 @t26))))) % 0.64/1.02 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.64/1.02 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.64/1.02 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.64/1.02 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.64/1.02 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.64/1.02 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.64/1.02 (assume @p23 (forall (@list @t32) (=> (tptp.is_verdict @t32) (or (= @t32 tptp.conflict) (= @t32 tptp.compatible) (= @t32 tptp.unknown))))) % 0.64/1.02 (assume @p24 (forall @t41 (=> (and @t40 @t39 (or @t38 @t37)) @t36))) % 0.64/1.02 (assume @p25 (forall @t41 (=> (and @t40 @t39 (= @t34 tptp.compatible) (= @t33 tptp.compatible)) @t42))) % 0.64/1.02 (assume @p26 (forall @t41 (=> (and @t40 @t39 (or (= @t34 tptp.unknown) (= @t33 tptp.unknown)) (not @t38) (not @t37)) @t43))) % 0.64/1.02 (assume @p27 (forall @t41 (=> (and @t40 @t39) (or @t36 @t42 @t43)))) % 0.64/1.02 (assume @p28 (tptp.val tptp.v0)) % 0.64/1.02 (assume @p29 (tptp.val tptp.v16)) % 0.64/1.02 (assume @p30 (tptp.val tptp.v32)) % 0.64/1.02 (assume @p31 (tptp.val tptp.v400)) % 0.64/1.02 (assume @p32 (tptp.val tptp.v600)) % 0.64/1.02 (assume @p33 (tptp.val tptp.v800)) % 0.64/1.02 (assume @p34 (tptp.val tptp.v1200)) % 0.64/1.02 (assume @p35 (tptp.less tptp.v0 tptp.v16)) % 0.64/1.02 (assume @p36 @t44) % 0.64/1.02 (assume @p37 @t45) % 0.64/1.02 (assume @p38 (tptp.less tptp.v0 tptp.v600)) % 0.64/1.02 (assume @p39 (tptp.less tptp.v0 tptp.v800)) % 0.64/1.02 (assume @p40 (tptp.less tptp.v0 tptp.v1200)) % 0.64/1.02 (assume @p41 @t46) % 0.64/1.02 (assume @p42 (tptp.less tptp.v16 tptp.v400)) % 0.64/1.02 (assume @p43 (tptp.less tptp.v16 tptp.v600)) % 0.64/1.02 (assume @p44 (tptp.less tptp.v16 tptp.v800)) % 0.64/1.02 (assume @p45 (tptp.less tptp.v16 tptp.v1200)) % 0.64/1.02 (assume @p46 @t47) % 0.64/1.02 (assume @p47 (tptp.less tptp.v32 tptp.v600)) % 0.64/1.02 (assume @p48 (tptp.less tptp.v32 tptp.v800)) % 0.64/1.02 (assume @p49 (tptp.less tptp.v32 tptp.v1200)) % 0.64/1.02 (assume @p50 @t48) % 0.64/1.02 (assume @p51 (tptp.less tptp.v400 tptp.v800)) % 0.64/1.02 (assume @p52 (tptp.less tptp.v400 tptp.v1200)) % 0.64/1.02 (assume @p53 (tptp.less tptp.v600 tptp.v800)) % 0.64/1.02 (assume @p54 (tptp.less tptp.v600 tptp.v1200)) % 0.64/1.02 (assume @p55 (tptp.less tptp.v800 tptp.v1200)) % 0.64/1.02 (assume @p56 (and (not (= tptp.v0 tptp.v16)) (not (= tptp.v0 tptp.v32)) (not (= tptp.v0 tptp.v400)) (not (= tptp.v0 tptp.v600)) (not (= tptp.v0 tptp.v800)) (not (= tptp.v0 tptp.v1200)) (not @t51) (not (= tptp.v16 tptp.v400)) (not (= tptp.v16 tptp.v600)) (not (= tptp.v16 tptp.v800)) (not (= tptp.v16 tptp.v1200)) (not @t50) (not (= tptp.v32 tptp.v600)) (not (= tptp.v32 tptp.v800)) (not (= tptp.v32 tptp.v1200)) (not @t49) (not (= tptp.v400 tptp.v800)) (not (= tptp.v400 tptp.v1200)) (not (= tptp.v600 tptp.v800)) (not (= tptp.v600 tptp.v1200)) (not (= tptp.v800 tptp.v1200)))) % 0.64/1.02 (assume @p57 @t59) % 0.64/1.02 (assume @p58 true) % 0.64/1.02 (step @p59 :rule instantiate :premises (@p11) :args ((@list tptp.v32 tptp.v0 tptp.v32))) % 0.64/1.02 (step @p60 :rule bool-double-not-elim :args ((forall @t8 (or @t62 @t61 @t60 @t52)))) % 0.64/1.02 (step @p61 :rule bool-double-not-elim :args (@t52)) % 0.64/1.02 (step @p62 :rule refl :args (@t60)) % 0.64/1.02 (step @p63 :rule refl :args (@t61)) % 0.64/1.02 (step @p64 :rule refl :args (@t62)) % 0.64/1.02 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args (@t64)) % 0.64/1.02 (step @p66 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 @t63))) @t64))) % 0.64/1.02 (step @p67 :rule trans :premises (@p66 @p65)) % 0.64/1.02 (step @p68 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 0.64/1.02 (step @p69 :rule nary_cong :premises (@p63 @p68) :args ((or @t61 (not (and @t54 @t53))))) % 0.64/1.02 (step @p70 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53))) % 0.64/1.02 (step @p71 :rule trans :premises (@p70 @p69)) % 0.64/1.02 (step @p72 :rule nary_cong :premises (@p64 @p71) :args ((or @t62 (not (and @t55 @t54 @t53))))) % 0.64/1.02 (step @p73 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54 @t53))) % 0.64/1.02 (step @p74 :rule trans :premises (@p73 @p72)) % 0.64/1.02 (step @p75 :rule trans :premises (@p74 @p67)) % 0.64/1.02 (step @p76 :rule cong :premises (@p75) :args (@t65)) % 0.64/1.02 (step @p77 :rule cong :premises (@p76) :args (@t66)) % 0.64/1.02 (step @p78 :rule exists-elim :args ((= @t58 @t66))) % 0.64/1.02 (step @p79 :rule trans :premises (@p78 @p77)) % 0.64/1.02 (step @p80 :rule cong :premises (@p79) :args (@t59)) % 0.64/1.02 (step @p81 :rule trans :premises (@p80 @p60)) % 0.64/1.02 (step @p82 :rule eq_resolve :premises (@p57 @p81)) % 0.64/1.02 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.v400 tptp.v32 tptp.v32))) % 0.64/1.02 (step @p84 :rule instantiate :premises (@p11) :args ((@list tptp.v32 tptp.v0 tptp.v16))) % 0.64/1.02 (step @p85 :rule aci_norm :args ((= (or (or @t68 @t67) @t9) (or @t68 @t67 @t9)))) % 0.64/1.02 (step @p86 :rule refl :args (@t9)) % 0.64/1.02 (step @p87 :rule bool-and-de-morgan :args (@t11 @t13 true)) % 0.64/1.02 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t14) @t9))) % 0.64/1.02 (step @p89 :rule trans :premises (@p88 @p85)) % 0.64/1.02 (step @p90 :rule bool-impl-elim :args (@t14 @t9)) % 0.64/1.02 (step @p91 :rule trans :premises (@p90 @p89)) % 0.64/1.02 (step @p92 :rule cong :premises (@p91) :args (@t15)) % 0.64/1.02 (step @p93 :rule eq_resolve :premises (@p5 @p92)) % 0.64/1.02 (step @p94 :rule instantiate :premises (@p93) :args (@t69)) % 0.64/1.02 (step @p95 :rule instantiate :premises (@p4) :args (@t69)) % 0.64/1.02 (step @p96 :rule cnf_or_neg :args (@t70 0)) % 0.64/1.02 (step @p97 :rule reordering :premises (@p96) :args ((or (not @t46) @t70))) % 0.64/1.02 (step @p98 :rule chain_m_resolution :premises (@p97 @p41) :args (@t70 @t71 (@list @t46))) % 0.64/1.02 (step @p99 :rule cnf_equiv_pos2 :args (@t73)) % 0.64/1.02 (step @p100 :rule reordering :premises (@p99) :args ((or @t72 (not @t70) (not @t73)))) % 0.64/1.02 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p95) :args (@t72 @t74 (@list @t70 @t73))) % 0.64/1.02 (step @p102 :rule and_elim :premises (@p56) :args (6)) % 0.64/1.02 (step @p103 :rule cnf_or_pos :args (@t78)) % 0.64/1.02 (step @p104 :rule reordering :premises (@p103) :args ((or @t51 @t77 @t76 (not @t78)))) % 0.64/1.02 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101 @p94) :args (@t76 (@list true false false) (@list @t51 @t72 @t78))) % 0.64/1.02 (step @p106 :rule cnf_and_pos :args (@t79 1)) % 0.64/1.02 (step @p107 :rule reordering :premises (@p106) :args ((or @t75 @t80))) % 0.64/1.02 (step @p108 :rule chain_m_resolution :premises (@p107 @p105) :args (@t80 @t81 (@list @t75))) % 0.64/1.02 (step @p109 :rule cnf_equiv_pos1 :args (@t83)) % 0.64/1.02 (step @p110 :rule reordering :premises (@p109) :args ((or @t79 @t84 (not @t83)))) % 0.64/1.02 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p84) :args (@t84 @t85 (@list @t79 @t83))) % 0.64/1.02 (step @p112 :rule cnf_and_pos :args (@t86 2)) % 0.64/1.02 (step @p113 :rule reordering :premises (@p112) :args ((or @t82 @t87))) % 0.64/1.02 (step @p114 :rule chain_m_resolution :premises (@p113 @p111) :args (@t87 @t81 (@list @t82))) % 0.64/1.02 (step @p115 :rule instantiate :premises (@p11) :args ((@list tptp.v400 tptp.v0 tptp.v600))) % 0.64/1.02 (step @p116 :rule instantiate :premises (@p4) :args ((@list tptp.v400 tptp.v600))) % 0.64/1.02 (step @p117 :rule cnf_or_neg :args (@t88 0)) % 0.64/1.02 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t48) @t88))) % 0.64/1.02 (step @p119 :rule chain_m_resolution :premises (@p118 @p50) :args (@t88 @t71 (@list @t48))) % 0.64/1.02 (step @p120 :rule cnf_equiv_pos2 :args (@t90)) % 0.64/1.02 (step @p121 :rule reordering :premises (@p120) :args ((or @t89 (not @t88) (not @t90)))) % 0.64/1.02 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p116) :args (@t89 @t74 (@list @t88 @t90))) % 0.64/1.02 (step @p123 :rule cnf_and_neg :args (@t91)) % 0.64/1.02 (step @p124 :rule reordering :premises (@p123) :args ((or (not @t45) (not @t89) @t91))) % 0.64/1.02 (step @p125 :rule chain_m_resolution :premises (@p124 @p37 @p122) :args (@t91 @t74 (@list @t45 @t89))) % 0.64/1.02 (step @p126 :rule cnf_equiv_pos2 :args (@t93)) % 0.64/1.02 (step @p127 :rule reordering :premises (@p126) :args ((or @t92 (not @t91) (not @t93)))) % 0.64/1.02 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p115) :args (@t92 @t74 (@list @t91 @t93))) % 0.64/1.02 (step @p129 :rule instantiate :premises (@p11) :args ((@list tptp.v32 tptp.v0 tptp.v400))) % 0.64/1.02 (step @p130 :rule instantiate :premises (@p4) :args ((@list tptp.v32 tptp.v400))) % 0.64/1.02 (step @p131 :rule cnf_or_neg :args (@t94 0)) % 0.64/1.02 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t47) @t94))) % 0.64/1.02 (step @p133 :rule chain_m_resolution :premises (@p132 @p46) :args (@t94 @t71 (@list @t47))) % 0.64/1.02 (step @p134 :rule cnf_equiv_pos2 :args (@t96)) % 0.64/1.02 (step @p135 :rule reordering :premises (@p134) :args ((or @t95 (not @t94) (not @t96)))) % 0.64/1.02 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p130) :args (@t95 @t74 (@list @t94 @t96))) % 0.64/1.02 (step @p137 :rule cnf_and_neg :args (@t97)) % 0.64/1.02 (step @p138 :rule reordering :premises (@p137) :args ((or @t98 (not @t95) @t97))) % 0.64/1.02 (step @p139 :rule chain_m_resolution :premises (@p138 @p36 @p136) :args (@t97 @t74 (@list @t44 @t95))) % 0.64/1.02 (step @p140 :rule cnf_equiv_pos2 :args (@t100)) % 0.64/1.02 (step @p141 :rule reordering :premises (@p140) :args ((or @t99 (not @t97) (not @t100)))) % 0.64/1.02 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p129) :args (@t99 @t74 (@list @t97 @t100))) % 0.64/1.02 (step @p143 :rule cnf_or_pos :args (@t105)) % 0.64/1.02 (step @p144 :rule reordering :premises (@p143) :args ((or @t103 @t104 @t102 @t86 (not @t105)))) % 0.64/1.02 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p128 @p114 @p83) :args (@t102 (@list false false true false) (@list @t99 @t92 @t86 @t105))) % 0.64/1.02 (step @p146 :rule cnf_equiv_pos2 :args (@t108)) % 0.64/1.02 (step @p147 :rule reordering :premises (@p146) :args ((or @t101 @t109 (not @t108)))) % 0.64/1.02 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p59) :args (@t109 @t85 (@list @t101 @t108))) % 0.64/1.02 (step @p149 :rule cnf_and_neg :args (@t107)) % 0.64/1.02 (step @p150 :rule reordering :premises (@p149) :args ((or @t98 @t107 @t110))) % 0.64/1.02 (step @p151 :rule chain_m_resolution :premises (@p150 @p36 @p148) :args (@t110 (@list false true) (@list @t44 @t107))) % 0.64/1.02 (step @p152 :rule bool-eq-true :args (@t106)) % 0.64/1.02 (step @p153 :rule absorb :args ((= (or @t111 true) true))) % 0.64/1.02 (step @p154 :rule eq-refl :args (tptp.v32)) % 0.64/1.02 (step @p155 :rule refl :args (@t111)) % 0.64/1.02 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t112)) % 0.64/1.02 (step @p157 :rule trans :premises (@p156 @p153)) % 0.64/1.02 (step @p158 :rule refl :args (@t106)) % 0.64/1.02 (step @p159 :rule cong :premises (@p158 @p157) :args (@t113)) % 0.64/1.02 (step @p160 :rule trans :premises (@p159 @p152)) % 0.64/1.02 (step @p161 :rule refl :args (@t12)) % 0.64/1.02 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t12 @t113))) % 0.64/1.02 (assume-push @p170 @t12) % 0.64/1.02 (step @p164 :rule instantiate :premises (@p4) :args ((@list tptp.v32 tptp.v32))) % 0.64/1.02 (step-pop @p171 :rule scope :premises (@p164)) % 0.64/1.02 (step @p165 :rule process_scope :premises (@p171) :args (@t113)) % 0.64/1.02 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.64/1.02 (step @p168 :rule implies_elim :premises (@p167)) % 0.64/1.02 (step @p169 false :rule chain_m_resolution :premises (@p168 @p151 @p4) :args (false @t85 (@list @t106 @t12))) % 0.64/1.02 ) % 0.64/1.02 % SZS output end Proof % 0.64/1.02 % cvc5 exiting %------------------------------------------------------------------------------