%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT080+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 : 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 06:04:57 AM UTC 2026 % Result : Theorem 0.30s 0.58s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT080+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 % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 14:18:45 UTC 2026 % 0.15/0.36 % CPUTime : % 0.15/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.58 % SZS status Theorem % 0.30/0.58 % SZS output start Proof % 0.30/0.58 ( % 0.30/0.58 (declare-sort $$unsorted 0) % 0.30/0.58 (declare-const tptp.v600 $$unsorted) % 0.30/0.58 (declare-const tptp.v300 $$unsorted) % 0.30/0.58 (declare-const tptp.v150 $$unsorted) % 0.30/0.58 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.v500 $$unsorted) % 0.30/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.val (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.conflict $$unsorted) % 0.30/0.58 (declare-const tptp.v800 $$unsorted) % 0.30/0.58 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.v0 $$unsorted) % 0.30/0.58 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.v8 $$unsorted) % 0.30/0.58 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.v32 $$unsorted) % 0.30/0.58 (declare-const tptp.compatible $$unsorted) % 0.30/0.58 (declare-const tptp.v100 $$unsorted) % 0.30/0.58 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.unknown $$unsorted) % 0.30/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.58 (define @t2 () (@list @t1)) % 0.30/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.30/0.58 (define @t4 () (tptp.less @t1 @t3)) % 0.30/0.58 (define @t5 () (@var "Y" $$unsorted)) % 0.30/0.58 (define @t6 () (tptp.less @t5 @t3)) % 0.30/0.58 (define @t7 () (tptp.less @t1 @t5)) % 0.30/0.58 (define @t8 () (@list @t1 @t5 @t3)) % 0.30/0.58 (define @t9 () (= @t1 @t5)) % 0.30/0.58 (define @t10 () (@list @t1 @t5)) % 0.30/0.58 (define @t11 () (tptp.leq @t1 @t5)) % 0.30/0.58 (define @t12 () (tptp.leq @t5 @t1)) % 0.30/0.58 (define @t13 () (and @t11 @t12)) % 0.30/0.58 (define @t14 () (forall @t10 (=> @t13 @t9))) % 0.30/0.58 (define @t15 () (tptp.leq @t5 @t3)) % 0.30/0.58 (define @t16 () (@var "B" $$unsorted)) % 0.30/0.58 (define @t17 () (tptp.leq @t1 @t16)) % 0.30/0.58 (define @t18 () (@var "A" $$unsorted)) % 0.30/0.58 (define @t19 () (tptp.leq @t18 @t1)) % 0.30/0.58 (define @t20 () (@list @t1 @t18 @t16)) % 0.30/0.58 (define @t21 () (tptp.less @t18 @t1)) % 0.30/0.58 (define @t22 () (tptp.less @t1 @t16)) % 0.30/0.58 (define @t23 () (@var "I2hi" $$unsorted)) % 0.30/0.58 (define @t24 () (@var "I2lo" $$unsorted)) % 0.30/0.58 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.30/0.58 (define @t26 () (@var "I1hi" $$unsorted)) % 0.30/0.58 (define @t27 () (@var "I1lo" $$unsorted)) % 0.30/0.58 (define @t28 () (tptp.in_closed @t1 @t27 @t26)) % 0.30/0.58 (define @t29 () (exists @t2 (and @t28 @t25))) % 0.30/0.58 (define @t30 () (@list @t27 @t26 @t24 @t23)) % 0.30/0.58 (define @t31 () (@var "V" $$unsorted)) % 0.30/0.58 (define @t32 () (@var "V2" $$unsorted)) % 0.30/0.58 (define @t33 () (@var "V1" $$unsorted)) % 0.30/0.58 (define @t34 () (tptp.box_verdict @t33 @t32)) % 0.30/0.58 (define @t35 () (= @t34 tptp.conflict)) % 0.30/0.58 (define @t36 () (= @t32 tptp.conflict)) % 0.30/0.58 (define @t37 () (= @t33 tptp.conflict)) % 0.30/0.58 (define @t38 () (tptp.is_verdict @t32)) % 0.30/0.58 (define @t39 () (tptp.is_verdict @t33)) % 0.30/0.58 (define @t40 () (@list @t33 @t32)) % 0.30/0.58 (define @t41 () (= @t34 tptp.compatible)) % 0.30/0.58 (define @t42 () (= @t34 tptp.unknown)) % 0.30/0.58 (define @t43 () (@var "W" $$unsorted)) % 0.30/0.58 (define @t44 () (tptp.leq tptp.v150 @t43)) % 0.30/0.58 (define @t45 () (tptp.in_lopen @t43 tptp.v0 tptp.v300)) % 0.30/0.58 (define @t46 () (tptp.in_lopen @t3 tptp.v0 tptp.v32)) % 0.30/0.58 (define @t47 () (tptp.leq tptp.v8 @t3)) % 0.30/0.58 (define @t48 () (tptp.in_open @t5 tptp.v0 tptp.v500)) % 0.30/0.58 (define @t49 () (tptp.less tptp.v100 @t5)) % 0.30/0.58 (define @t50 () (tptp.in_closed @t1 tptp.v800 tptp.v800)) % 0.30/0.58 (define @t51 () (tptp.in_closed @t1 tptp.v600 tptp.v600)) % 0.30/0.58 (define @t52 () (and @t51 @t50 @t49 @t48 @t47 @t46 @t45 @t44)) % 0.30/0.58 (define @t53 () (@list @t1 @t5 @t3 @t43)) % 0.30/0.58 (define @t54 () (exists @t53 @t52)) % 0.30/0.58 (define @t55 () (not @t12)) % 0.30/0.58 (define @t56 () (not @t11)) % 0.30/0.58 (define @t57 () (not @t50)) % 0.30/0.58 (define @t58 () (not @t51)) % 0.30/0.58 (define @t59 () (or @t58 @t57)) % 0.30/0.58 (define @t60 () (forall @t2 @t59)) % 0.30/0.58 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.30/0.58 (define @t62 () (not @t44)) % 0.30/0.58 (define @t63 () (not @t45)) % 0.30/0.58 (define @t64 () (or @t63 @t62)) % 0.30/0.58 (define @t65 () (not @t46)) % 0.30/0.58 (define @t66 () (not @t47)) % 0.30/0.58 (define @t67 () (or @t66 @t65)) % 0.30/0.58 (define @t68 () (not @t48)) % 0.30/0.58 (define @t69 () (not @t49)) % 0.30/0.58 (define @t70 () (or @t69 @t68)) % 0.30/0.58 (define @t71 () (or @t59 @t70 @t67 @t64)) % 0.30/0.58 (define @t72 () (or @t58 @t57 @t69 @t68 @t66 @t65 @t63 @t62)) % 0.30/0.58 (define @t73 () (forall @t53 (not @t52))) % 0.30/0.58 (define @t74 () (not @t73)) % 0.30/0.58 (define @t75 () (tptp.in_closed @t61 tptp.v800 tptp.v800)) % 0.30/0.58 (define @t76 () (not @t75)) % 0.30/0.58 (define @t77 () (tptp.in_closed @t61 tptp.v600 tptp.v600)) % 0.30/0.58 (define @t78 () (not @t77)) % 0.30/0.58 (define @t79 () (or @t78 @t76)) % 0.30/0.58 (define @t80 () (@list true)) % 0.30/0.58 (define @t81 () (@list @t79)) % 0.30/0.58 (define @t82 () (tptp.leq @t61 tptp.v800)) % 0.30/0.58 (define @t83 () (tptp.leq tptp.v800 @t61)) % 0.30/0.58 (define @t84 () (and @t83 @t82)) % 0.30/0.58 (define @t85 () (= @t75 @t84)) % 0.30/0.58 (define @t86 () (@list false false)) % 0.30/0.58 (define @t87 () (not @t84)) % 0.30/0.58 (define @t88 () (@list false)) % 0.30/0.58 (define @t89 () (@list @t84)) % 0.30/0.58 (define @t90 () (= tptp.v800 @t61)) % 0.30/0.58 (define @t91 () (not @t82)) % 0.30/0.58 (define @t92 () (not @t83)) % 0.30/0.58 (define @t93 () (or @t92 @t91 @t90)) % 0.30/0.58 (define @t94 () (@list false false false)) % 0.30/0.58 (define @t95 () (tptp.leq @t61 tptp.v600)) % 0.30/0.58 (define @t96 () (tptp.leq tptp.v600 @t61)) % 0.30/0.58 (define @t97 () (and @t96 @t95)) % 0.30/0.58 (define @t98 () (= @t77 @t97)) % 0.30/0.58 (define @t99 () (not @t97)) % 0.30/0.58 (define @t100 () (@list @t97)) % 0.30/0.58 (define @t101 () (= tptp.v600 @t61)) % 0.30/0.58 (define @t102 () (not @t95)) % 0.30/0.58 (define @t103 () (not @t96)) % 0.30/0.58 (define @t104 () (or @t103 @t102 @t101)) % 0.30/0.58 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.30/0.58 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.30/0.58 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.30/0.58 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.30/0.58 (assume @p5 @t14) % 0.30/0.58 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.30/0.58 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.30/0.58 (assume @p8 (forall @t8 (=> (and @t7 @t15) @t4))) % 0.30/0.58 (assume @p9 (forall @t8 (=> (and @t11 @t15) (tptp.leq @t1 @t3)))) % 0.30/0.58 (assume @p10 (forall @t20 (= (tptp.in_closed @t1 @t18 @t16) (and @t19 @t17)))) % 0.30/0.58 (assume @p11 (forall @t20 (= (tptp.in_lopen @t1 @t18 @t16) (and @t21 @t17)))) % 0.30/0.58 (assume @p12 (forall @t20 (= (tptp.in_ropen @t1 @t18 @t16) (and @t19 @t22)))) % 0.30/0.58 (assume @p13 (forall @t20 (= (tptp.in_open @t1 @t18 @t16) (and @t21 @t22)))) % 0.30/0.58 (assume @p14 (forall @t30 (= (tptp.axis_conflict @t27 @t26 @t24 @t23) (not @t29)))) % 0.30/0.58 (assume @p15 (forall @t30 (= (tptp.axis_compatible @t27 @t26 @t24 @t23) @t29))) % 0.30/0.58 (assume @p16 (forall @t30 (= (tptp.axis_subsumes @t27 @t26 @t24 @t23) (forall @t2 (=> @t28 @t25))))) % 0.30/0.58 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.30/0.58 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.30/0.58 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.30/0.58 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.30/0.58 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.30/0.58 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.30/0.58 (assume @p23 (forall (@list @t31) (=> (tptp.is_verdict @t31) (or (= @t31 tptp.conflict) (= @t31 tptp.compatible) (= @t31 tptp.unknown))))) % 0.30/0.58 (assume @p24 (forall @t40 (=> (and @t39 @t38 (or @t37 @t36)) @t35))) % 0.30/0.58 (assume @p25 (forall @t40 (=> (and @t39 @t38 (= @t33 tptp.compatible) (= @t32 tptp.compatible)) @t41))) % 0.30/0.58 (assume @p26 (forall @t40 (=> (and @t39 @t38 (or (= @t33 tptp.unknown) (= @t32 tptp.unknown)) (not @t37) (not @t36)) @t42))) % 0.30/0.58 (assume @p27 (forall @t40 (=> (and @t39 @t38) (or @t35 @t41 @t42)))) % 0.30/0.58 (assume @p28 (tptp.val tptp.v0)) % 0.30/0.58 (assume @p29 (tptp.val tptp.v8)) % 0.30/0.58 (assume @p30 (tptp.val tptp.v32)) % 0.30/0.58 (assume @p31 (tptp.val tptp.v100)) % 0.30/0.58 (assume @p32 (tptp.val tptp.v150)) % 0.30/0.58 (assume @p33 (tptp.val tptp.v300)) % 0.30/0.58 (assume @p34 (tptp.val tptp.v500)) % 0.30/0.58 (assume @p35 (tptp.val tptp.v600)) % 0.30/0.58 (assume @p36 (tptp.val tptp.v800)) % 0.30/0.58 (assume @p37 (tptp.less tptp.v0 tptp.v8)) % 0.30/0.58 (assume @p38 (tptp.less tptp.v0 tptp.v32)) % 0.30/0.58 (assume @p39 (tptp.less tptp.v0 tptp.v100)) % 0.30/0.58 (assume @p40 (tptp.less tptp.v0 tptp.v150)) % 0.30/0.58 (assume @p41 (tptp.less tptp.v0 tptp.v300)) % 0.30/0.58 (assume @p42 (tptp.less tptp.v0 tptp.v500)) % 0.30/0.58 (assume @p43 (tptp.less tptp.v0 tptp.v600)) % 0.30/0.58 (assume @p44 (tptp.less tptp.v0 tptp.v800)) % 0.30/0.58 (assume @p45 (tptp.less tptp.v8 tptp.v32)) % 0.30/0.58 (assume @p46 (tptp.less tptp.v8 tptp.v100)) % 0.30/0.58 (assume @p47 (tptp.less tptp.v8 tptp.v150)) % 0.30/0.58 (assume @p48 (tptp.less tptp.v8 tptp.v300)) % 0.30/0.58 (assume @p49 (tptp.less tptp.v8 tptp.v500)) % 0.30/0.58 (assume @p50 (tptp.less tptp.v8 tptp.v600)) % 0.30/0.58 (assume @p51 (tptp.less tptp.v8 tptp.v800)) % 0.30/0.58 (assume @p52 (tptp.less tptp.v32 tptp.v100)) % 0.30/0.58 (assume @p53 (tptp.less tptp.v32 tptp.v150)) % 0.30/0.58 (assume @p54 (tptp.less tptp.v32 tptp.v300)) % 0.30/0.58 (assume @p55 (tptp.less tptp.v32 tptp.v500)) % 0.30/0.58 (assume @p56 (tptp.less tptp.v32 tptp.v600)) % 0.30/0.58 (assume @p57 (tptp.less tptp.v32 tptp.v800)) % 0.30/0.58 (assume @p58 (tptp.less tptp.v100 tptp.v150)) % 0.30/0.58 (assume @p59 (tptp.less tptp.v100 tptp.v300)) % 0.30/0.58 (assume @p60 (tptp.less tptp.v100 tptp.v500)) % 0.30/0.58 (assume @p61 (tptp.less tptp.v100 tptp.v600)) % 0.30/0.58 (assume @p62 (tptp.less tptp.v100 tptp.v800)) % 0.30/0.58 (assume @p63 (tptp.less tptp.v150 tptp.v300)) % 0.30/0.58 (assume @p64 (tptp.less tptp.v150 tptp.v500)) % 0.30/0.58 (assume @p65 (tptp.less tptp.v150 tptp.v600)) % 0.30/0.58 (assume @p66 (tptp.less tptp.v150 tptp.v800)) % 0.30/0.58 (assume @p67 (tptp.less tptp.v300 tptp.v500)) % 0.30/0.58 (assume @p68 (tptp.less tptp.v300 tptp.v600)) % 0.30/0.58 (assume @p69 (tptp.less tptp.v300 tptp.v800)) % 0.30/0.58 (assume @p70 (tptp.less tptp.v500 tptp.v600)) % 0.30/0.58 (assume @p71 (tptp.less tptp.v500 tptp.v800)) % 0.30/0.58 (assume @p72 (tptp.less tptp.v600 tptp.v800)) % 0.30/0.58 (assume @p73 (and (not (= tptp.v0 tptp.v8)) (not (= tptp.v0 tptp.v32)) (not (= tptp.v0 tptp.v100)) (not (= tptp.v0 tptp.v150)) (not (= tptp.v0 tptp.v300)) (not (= tptp.v0 tptp.v500)) (not (= tptp.v0 tptp.v600)) (not (= tptp.v0 tptp.v800)) (not (= tptp.v8 tptp.v32)) (not (= tptp.v8 tptp.v100)) (not (= tptp.v8 tptp.v150)) (not (= tptp.v8 tptp.v300)) (not (= tptp.v8 tptp.v500)) (not (= tptp.v8 tptp.v600)) (not (= tptp.v8 tptp.v800)) (not (= tptp.v32 tptp.v100)) (not (= tptp.v32 tptp.v150)) (not (= tptp.v32 tptp.v300)) (not (= tptp.v32 tptp.v500)) (not (= tptp.v32 tptp.v600)) (not (= tptp.v32 tptp.v800)) (not (= tptp.v100 tptp.v150)) (not (= tptp.v100 tptp.v300)) (not (= tptp.v100 tptp.v500)) (not (= tptp.v100 tptp.v600)) (not (= tptp.v100 tptp.v800)) (not (= tptp.v150 tptp.v300)) (not (= tptp.v150 tptp.v500)) (not (= tptp.v150 tptp.v600)) (not (= tptp.v150 tptp.v800)) (not (= tptp.v300 tptp.v500)) (not (= tptp.v300 tptp.v600)) (not (= tptp.v300 tptp.v800)) (not (= tptp.v500 tptp.v600)) (not (= tptp.v500 tptp.v800)) (not (= tptp.v600 tptp.v800)))) % 0.30/0.58 (assume @p74 (not (not @t54))) % 0.30/0.58 (assume @p75 true) % 0.30/0.58 (step @p76 :rule evaluate :args ((= false true))) % 0.30/0.58 (step @p77 :rule aci_norm :args ((= (or (or @t56 @t55) @t9) (or @t56 @t55 @t9)))) % 0.30/0.58 (step @p78 :rule refl :args (@t9)) % 0.30/0.58 (step @p79 :rule bool-and-de-morgan :args (@t11 @t12 true)) % 0.30/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t13) @t9))) % 0.30/0.58 (step @p81 :rule trans :premises (@p80 @p77)) % 0.30/0.58 (step @p82 :rule bool-impl-elim :args (@t13 @t9)) % 0.30/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.30/0.58 (step @p84 :rule cong :premises (@p83) :args (@t14)) % 0.30/0.58 (step @p85 :rule eq_resolve :premises (@p5 @p84)) % 0.30/0.58 (step @p86 :rule instantiate :premises (@p85) :args ((@list tptp.v800 @t61))) % 0.30/0.58 (step @p87 :rule instantiate :premises (@p10) :args ((@list @t61 tptp.v800 tptp.v800))) % 0.30/0.58 (step @p88 :rule quant-miniscope-or :args ((= (forall @t53 @t71) (or @t60 (forall (@list @t5) @t70) (forall (@list @t3) @t67) (forall (@list @t43) @t64))))) % 0.30/0.58 (step @p89 :rule aci_norm :args ((= @t72 @t71))) % 0.30/0.58 (step @p90 :rule cong :premises (@p89) :args ((forall @t53 @t72))) % 0.30/0.58 (step @p91 :rule trans :premises (@p90 @p88)) % 0.30/0.58 (step @p92 :rule aci_norm :args ((= (or @t58 (or @t57 (or @t69 (or @t68 (or @t66 (or @t65 @t64)))))) @t72))) % 0.30/0.58 (step @p93 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.30/0.58 (step @p94 :rule refl :args (@t65)) % 0.30/0.58 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t65 (not (and @t45 @t44))))) % 0.30/0.58 (step @p96 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44))) % 0.30/0.58 (step @p97 :rule trans :premises (@p96 @p95)) % 0.30/0.58 (step @p98 :rule refl :args (@t66)) % 0.30/0.58 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t66 (not (and @t46 @t45 @t44))))) % 0.30/0.58 (step @p100 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t44))) % 0.30/0.58 (step @p101 :rule trans :premises (@p100 @p99)) % 0.30/0.58 (step @p102 :rule refl :args (@t68)) % 0.30/0.58 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t68 (not (and @t47 @t46 @t45 @t44))))) % 0.30/0.58 (step @p104 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45 @t44))) % 0.30/0.58 (step @p105 :rule trans :premises (@p104 @p103)) % 0.30/0.58 (step @p106 :rule refl :args (@t69)) % 0.30/0.58 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t69 (not (and @t48 @t47 @t46 @t45 @t44))))) % 0.30/0.58 (step @p108 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46 @t45 @t44))) % 0.30/0.58 (step @p109 :rule trans :premises (@p108 @p107)) % 0.30/0.58 (step @p110 :rule refl :args (@t57)) % 0.30/0.58 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t57 (not (and @t49 @t48 @t47 @t46 @t45 @t44))))) % 0.30/0.58 (step @p112 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48 @t47 @t46 @t45 @t44))) % 0.30/0.58 (step @p113 :rule trans :premises (@p112 @p111)) % 0.30/0.58 (step @p114 :rule refl :args (@t58)) % 0.30/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t58 (not (and @t50 @t49 @t48 @t47 @t46 @t45 @t44))))) % 0.30/0.58 (step @p116 :rule bool-and-de-morgan :args (@t51 @t50 (and @t49 @t48 @t47 @t46 @t45 @t44))) % 0.30/0.58 (step @p117 :rule trans :premises (@p116 @p115)) % 0.30/0.58 (step @p118 :rule trans :premises (@p117 @p92)) % 0.30/0.58 (step @p119 :rule cong :premises (@p118) :args (@t73)) % 0.30/0.58 (step @p120 :rule trans :premises (@p119 @p91)) % 0.30/0.58 (step @p121 :rule cong :premises (@p120) :args (@t74)) % 0.30/0.58 (step @p122 :rule exists-elim :args ((= @t54 @t74))) % 0.30/0.58 (step @p123 :rule trans :premises (@p122 @p121)) % 0.30/0.58 (step @p124 :rule bool-double-not-elim :args (@t54)) % 0.30/0.58 (step @p125 :rule trans :premises (@p124 @p123)) % 0.30/0.58 (step @p126 :rule eq_resolve :premises (@p74 @p125)) % 0.30/0.58 (step @p127 :rule not_or_elim :premises (@p126) :args (0)) % 0.30/0.58 (step @p128 :rule skolemize :premises (@p127)) % 0.30/0.58 (step @p129 :rule bool-double-not-elim :args (@t75)) % 0.30/0.58 (step @p130 :rule refl :args (@t79)) % 0.30/0.58 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t79 (not @t76)))) % 0.30/0.58 (step @p132 :rule cnf_or_neg :args (@t79 1)) % 0.30/0.58 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.30/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t75 @t79))) % 0.30/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p128) :args (@t75 @t80 @t81)) % 0.30/0.58 (step @p136 :rule cnf_equiv_pos1 :args (@t85)) % 0.30/0.58 (step @p137 :rule reordering :premises (@p136) :args ((or @t76 @t84 (not @t85)))) % 0.30/0.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p87) :args (@t84 @t86 (@list @t75 @t85))) % 0.30/0.58 (step @p139 :rule cnf_and_pos :args (@t84 1)) % 0.30/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t82 @t87))) % 0.30/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p138) :args (@t82 @t88 @t89)) % 0.30/0.58 (step @p142 :rule cnf_and_pos :args (@t84 0)) % 0.30/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t83 @t87))) % 0.30/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p138) :args (@t83 @t88 @t89)) % 0.30/0.58 (step @p145 :rule cnf_or_pos :args (@t93)) % 0.30/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t92 @t91 @t90 (not @t93)))) % 0.30/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p141 @p86) :args (@t90 @t94 (@list @t83 @t82 @t93))) % 0.30/0.58 (step @p148 :rule symm :premises (@p147)) % 0.30/0.58 (step @p149 :rule instantiate :premises (@p85) :args ((@list tptp.v600 @t61))) % 0.30/0.58 (step @p150 :rule instantiate :premises (@p10) :args ((@list @t61 tptp.v600 tptp.v600))) % 0.30/0.58 (step @p151 :rule bool-double-not-elim :args (@t77)) % 0.30/0.58 (step @p152 :rule nary_cong :premises (@p130 @p151) :args ((or @t79 (not @t78)))) % 0.30/0.58 (step @p153 :rule cnf_or_neg :args (@t79 0)) % 0.30/0.58 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.30/0.58 (step @p155 :rule reordering :premises (@p154) :args ((or @t77 @t79))) % 0.30/0.58 (step @p156 :rule chain_m_resolution :premises (@p155 @p128) :args (@t77 @t80 @t81)) % 0.30/0.58 (step @p157 :rule cnf_equiv_pos1 :args (@t98)) % 0.30/0.58 (step @p158 :rule reordering :premises (@p157) :args ((or @t78 @t97 (not @t98)))) % 0.30/0.58 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p150) :args (@t97 @t86 (@list @t77 @t98))) % 0.30/0.58 (step @p160 :rule cnf_and_pos :args (@t97 1)) % 0.30/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t95 @t99))) % 0.30/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t95 @t88 @t100)) % 0.30/0.58 (step @p163 :rule cnf_and_pos :args (@t97 0)) % 0.30/0.58 (step @p164 :rule reordering :premises (@p163) :args ((or @t96 @t99))) % 0.30/0.58 (step @p165 :rule chain_m_resolution :premises (@p164 @p159) :args (@t96 @t88 @t100)) % 0.30/0.58 (step @p166 :rule cnf_or_pos :args (@t104)) % 0.30/0.58 (step @p167 :rule reordering :premises (@p166) :args ((or @t103 @t102 @t101 (not @t104)))) % 0.30/0.58 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p162 @p149) :args (@t101 @t94 (@list @t96 @t95 @t104))) % 0.30/0.58 (step @p169 :rule trans :premises (@p168 @p148)) % 0.30/0.58 (step @p170 :rule true_intro :premises (@p169)) % 0.30/0.58 (step @p171 :rule and_elim :premises (@p73) :args (35)) % 0.30/0.58 (step @p172 :rule false_intro :premises (@p171)) % 0.30/0.58 (step @p173 :rule symm :premises (@p172)) % 0.30/0.58 (step @p174 :rule trans :premises (@p173 @p170)) % 0.30/0.58 (step @p175 false :rule eq_resolve :premises (@p174 @p76)) % 0.30/0.58 ) % 0.30/0.58 % SZS output end Proof % 0.30/0.58 % cvc5 exiting %------------------------------------------------------------------------------