%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT091+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 : n016.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 06:04:58 AM UTC 2026 % Result : Theorem 0.31s 0.63s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n016.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:29:02 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.63 % SZS status Theorem % 0.31/0.63 % SZS output start Proof % 0.31/0.63 ( % 0.31/0.63 (declare-sort $$unsorted 0) % 0.31/0.63 (declare-const tptp.v0 $$unsorted) % 0.31/0.63 (declare-const tptp.box2_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.v600 $$unsorted) % 0.31/0.63 (declare-const tptp.box2_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.in_box3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.v400 $$unsorted) % 0.31/0.63 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.63 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.val (-> $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.in_box2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.conflict $$unsorted) % 0.31/0.63 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.v800 $$unsorted) % 0.31/0.63 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.compatible $$unsorted) % 0.31/0.63 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.63 (declare-const tptp.unknown $$unsorted) % 0.31/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.63 (define @t2 () (@list @t1)) % 0.31/0.63 (define @t3 () (@var "Z" $$unsorted)) % 0.31/0.63 (define @t4 () (tptp.less @t1 @t3)) % 0.31/0.63 (define @t5 () (@var "Y" $$unsorted)) % 0.31/0.63 (define @t6 () (tptp.less @t5 @t3)) % 0.31/0.63 (define @t7 () (tptp.less @t1 @t5)) % 0.31/0.63 (define @t8 () (@list @t1 @t5 @t3)) % 0.31/0.63 (define @t9 () (= @t1 @t5)) % 0.31/0.63 (define @t10 () (@list @t1 @t5)) % 0.31/0.63 (define @t11 () (tptp.leq @t1 @t5)) % 0.31/0.63 (define @t12 () (forall @t10 (= @t11 (or @t7 @t9)))) % 0.31/0.63 (define @t13 () (tptp.leq @t5 @t3)) % 0.31/0.63 (define @t14 () (@var "B" $$unsorted)) % 0.31/0.63 (define @t15 () (tptp.leq @t1 @t14)) % 0.31/0.63 (define @t16 () (@var "A" $$unsorted)) % 0.31/0.63 (define @t17 () (tptp.leq @t16 @t1)) % 0.31/0.63 (define @t18 () (@list @t1 @t16 @t14)) % 0.31/0.63 (define @t19 () (tptp.less @t16 @t1)) % 0.31/0.63 (define @t20 () (tptp.less @t1 @t14)) % 0.31/0.63 (define @t21 () (@var "I2hi" $$unsorted)) % 0.31/0.63 (define @t22 () (@var "I2lo" $$unsorted)) % 0.31/0.63 (define @t23 () (tptp.in_closed @t1 @t22 @t21)) % 0.31/0.63 (define @t24 () (@var "I1hi" $$unsorted)) % 0.31/0.63 (define @t25 () (@var "I1lo" $$unsorted)) % 0.31/0.63 (define @t26 () (tptp.in_closed @t1 @t25 @t24)) % 0.31/0.63 (define @t27 () (and @t26 @t23)) % 0.31/0.63 (define @t28 () (exists @t2 @t27)) % 0.31/0.63 (define @t29 () (@list @t25 @t24 @t22 @t21)) % 0.31/0.63 (define @t30 () (tptp.axis_compatible @t25 @t24 @t22 @t21)) % 0.31/0.63 (define @t31 () (forall @t29 (= @t30 @t28))) % 0.31/0.63 (define @t32 () (@var "V" $$unsorted)) % 0.31/0.63 (define @t33 () (@var "V2" $$unsorted)) % 0.31/0.63 (define @t34 () (@var "V1" $$unsorted)) % 0.31/0.63 (define @t35 () (tptp.box_verdict @t34 @t33)) % 0.31/0.63 (define @t36 () (= @t35 tptp.conflict)) % 0.31/0.63 (define @t37 () (= @t33 tptp.conflict)) % 0.31/0.63 (define @t38 () (= @t34 tptp.conflict)) % 0.31/0.63 (define @t39 () (tptp.is_verdict @t33)) % 0.31/0.63 (define @t40 () (tptp.is_verdict @t34)) % 0.31/0.63 (define @t41 () (@list @t34 @t33)) % 0.31/0.63 (define @t42 () (= @t35 tptp.compatible)) % 0.31/0.63 (define @t43 () (= @t35 tptp.unknown)) % 0.31/0.63 (define @t44 () (@var "B2" $$unsorted)) % 0.31/0.63 (define @t45 () (@var "A2" $$unsorted)) % 0.31/0.63 (define @t46 () (@var "X2" $$unsorted)) % 0.31/0.63 (define @t47 () (tptp.in_closed @t46 @t45 @t44)) % 0.31/0.63 (define @t48 () (@var "B1" $$unsorted)) % 0.31/0.63 (define @t49 () (@var "A1" $$unsorted)) % 0.31/0.63 (define @t50 () (@var "X1" $$unsorted)) % 0.31/0.63 (define @t51 () (tptp.in_closed @t50 @t49 @t48)) % 0.31/0.63 (define @t52 () (@var "B3" $$unsorted)) % 0.31/0.63 (define @t53 () (@var "A3" $$unsorted)) % 0.31/0.63 (define @t54 () (@var "X3" $$unsorted)) % 0.31/0.63 (define @t55 () (@var "D2" $$unsorted)) % 0.31/0.63 (define @t56 () (@var "C2" $$unsorted)) % 0.31/0.63 (define @t57 () (@var "D1" $$unsorted)) % 0.31/0.63 (define @t58 () (@var "C1" $$unsorted)) % 0.31/0.63 (define @t59 () (@list @t49 @t48 @t45 @t44 @t58 @t57 @t56 @t55)) % 0.31/0.63 (define @t60 () (forall @t59 (= (tptp.box2_compatible @t49 @t48 @t45 @t44 @t58 @t57 @t56 @t55) (and (tptp.axis_compatible @t49 @t48 @t58 @t57) (tptp.axis_compatible @t45 @t44 @t56 @t55))))) % 0.31/0.63 (define @t61 () (tptp.less tptp.v0 tptp.v400)) % 0.31/0.63 (define @t62 () (tptp.less tptp.v400 tptp.v600)) % 0.31/0.63 (define @t63 () (tptp.less tptp.v400 tptp.v800)) % 0.31/0.63 (define @t64 () (= tptp.v400 tptp.v800)) % 0.31/0.63 (define @t65 () (= tptp.v400 tptp.v600)) % 0.31/0.63 (define @t66 () (= tptp.v0 tptp.v400)) % 0.31/0.63 (define @t67 () (tptp.box2_compatible tptp.v0 tptp.v600 tptp.v0 tptp.v600 tptp.v400 tptp.v800 tptp.v400 tptp.v800)) % 0.31/0.63 (define @t68 () (forall @t2 (not @t27))) % 0.31/0.63 (define @t69 () (not @t68)) % 0.31/0.63 (define @t70 () (tptp.axis_compatible tptp.v0 tptp.v600 tptp.v400 tptp.v800)) % 0.31/0.63 (define @t71 () (and @t70 @t70)) % 0.31/0.63 (define @t72 () (= @t67 @t71)) % 0.31/0.63 (define @t73 () (= @t67 @t70)) % 0.31/0.63 (define @t74 () (@list false)) % 0.31/0.63 (define @t75 () (not @t70)) % 0.31/0.63 (define @t76 () (@list true false)) % 0.31/0.63 (define @t77 () (forall @t2 (or (not (tptp.in_closed @t1 tptp.v0 tptp.v600)) (not (tptp.in_closed @t1 tptp.v400 tptp.v800))))) % 0.31/0.63 (define @t78 () (not @t77)) % 0.31/0.63 (define @t79 () (= @t70 @t78)) % 0.31/0.63 (define @t80 () (not @t79)) % 0.31/0.63 (define @t81 () (or @t62 @t65)) % 0.31/0.63 (define @t82 () (tptp.leq tptp.v400 tptp.v600)) % 0.31/0.63 (define @t83 () (= @t82 @t81)) % 0.31/0.63 (define @t84 () (@list false false)) % 0.31/0.63 (define @t85 () (or @t61 @t66)) % 0.31/0.63 (define @t86 () (tptp.leq tptp.v0 tptp.v400)) % 0.31/0.63 (define @t87 () (= @t86 @t85)) % 0.31/0.63 (define @t88 () (and @t86 @t82)) % 0.31/0.63 (define @t89 () (tptp.in_closed tptp.v400 tptp.v0 tptp.v600)) % 0.31/0.63 (define @t90 () (= @t89 @t88)) % 0.31/0.63 (define @t91 () (tptp.in_closed tptp.v400 tptp.v400 tptp.v800)) % 0.31/0.63 (define @t92 () (not @t91)) % 0.31/0.63 (define @t93 () (not @t89)) % 0.31/0.63 (define @t94 () (or @t93 @t92)) % 0.31/0.63 (define @t95 () (tptp.leq tptp.v400 tptp.v800)) % 0.31/0.63 (define @t96 () (tptp.leq tptp.v400 tptp.v400)) % 0.31/0.63 (define @t97 () (and @t96 @t95)) % 0.31/0.63 (define @t98 () (= @t91 @t97)) % 0.31/0.63 (define @t99 () (not @t97)) % 0.31/0.63 (define @t100 () (or @t63 @t64)) % 0.31/0.63 (define @t101 () (= @t95 @t100)) % 0.31/0.63 (define @t102 () (not @t96)) % 0.31/0.63 (define @t103 () (tptp.less tptp.v400 tptp.v400)) % 0.31/0.63 (define @t104 () (or @t103 (= tptp.v400 tptp.v400))) % 0.31/0.63 (define @t105 () (= @t96 @t104)) % 0.31/0.63 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.31/0.63 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.31/0.63 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.31/0.63 (assume @p4 @t12) % 0.31/0.63 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.31/0.63 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.31/0.63 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.31/0.63 (assume @p8 (forall @t8 (=> (and @t7 @t13) @t4))) % 0.31/0.63 (assume @p9 (forall @t8 (=> (and @t11 @t13) (tptp.leq @t1 @t3)))) % 0.31/0.63 (assume @p10 (forall @t18 (= (tptp.in_closed @t1 @t16 @t14) (and @t17 @t15)))) % 0.31/0.63 (assume @p11 (forall @t18 (= (tptp.in_lopen @t1 @t16 @t14) (and @t19 @t15)))) % 0.31/0.63 (assume @p12 (forall @t18 (= (tptp.in_ropen @t1 @t16 @t14) (and @t17 @t20)))) % 0.31/0.63 (assume @p13 (forall @t18 (= (tptp.in_open @t1 @t16 @t14) (and @t19 @t20)))) % 0.31/0.63 (assume @p14 (forall @t29 (= (tptp.axis_conflict @t25 @t24 @t22 @t21) (not @t28)))) % 0.31/0.63 (assume @p15 @t31) % 0.31/0.63 (assume @p16 (forall @t29 (= (tptp.axis_subsumes @t25 @t24 @t22 @t21) (forall @t2 (=> @t26 @t23))))) % 0.31/0.63 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.31/0.63 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.31/0.63 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.31/0.63 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.31/0.63 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.31/0.63 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.31/0.63 (assume @p23 (forall (@list @t32) (=> (tptp.is_verdict @t32) (or (= @t32 tptp.conflict) (= @t32 tptp.compatible) (= @t32 tptp.unknown))))) % 0.31/0.63 (assume @p24 (forall @t41 (=> (and @t40 @t39 (or @t38 @t37)) @t36))) % 0.31/0.63 (assume @p25 (forall @t41 (=> (and @t40 @t39 (= @t34 tptp.compatible) (= @t33 tptp.compatible)) @t42))) % 0.31/0.63 (assume @p26 (forall @t41 (=> (and @t40 @t39 (or (= @t34 tptp.unknown) (= @t33 tptp.unknown)) (not @t38) (not @t37)) @t43))) % 0.31/0.63 (assume @p27 (forall @t41 (=> (and @t40 @t39) (or @t36 @t42 @t43)))) % 0.31/0.63 (assume @p28 (forall (@list @t50 @t46 @t49 @t48 @t45 @t44) (= (tptp.in_box2 @t50 @t46 @t49 @t48 @t45 @t44) (and @t51 @t47)))) % 0.31/0.63 (assume @p29 (forall (@list @t50 @t46 @t54 @t49 @t48 @t45 @t44 @t53 @t52) (= (tptp.in_box3 @t50 @t46 @t54 @t49 @t48 @t45 @t44 @t53 @t52) (and @t51 @t47 (tptp.in_closed @t54 @t53 @t52))))) % 0.31/0.63 (assume @p30 @t60) % 0.31/0.63 (assume @p31 (forall @t59 (= (tptp.box2_conflict @t49 @t48 @t45 @t44 @t58 @t57 @t56 @t55) (or (tptp.axis_conflict @t49 @t48 @t58 @t57) (tptp.axis_conflict @t45 @t44 @t56 @t55))))) % 0.31/0.63 (assume @p32 (forall (@list @t1 @t32) (= (tptp.in_closed @t1 @t32 @t32) (= @t1 @t32)))) % 0.31/0.63 (assume @p33 (tptp.val tptp.v0)) % 0.31/0.63 (assume @p34 (tptp.val tptp.v400)) % 0.31/0.63 (assume @p35 (tptp.val tptp.v600)) % 0.31/0.63 (assume @p36 (tptp.val tptp.v800)) % 0.31/0.63 (assume @p37 @t61) % 0.31/0.63 (assume @p38 (tptp.less tptp.v0 tptp.v600)) % 0.31/0.63 (assume @p39 @t62) % 0.31/0.63 (assume @p40 @t63) % 0.31/0.63 (assume @p41 (tptp.less tptp.v600 tptp.v800)) % 0.31/0.63 (assume @p42 (and (not @t66) (not (= tptp.v0 tptp.v600)) (not (= tptp.v0 tptp.v800)) (not @t65) (not @t64) (not (= tptp.v600 tptp.v800)))) % 0.31/0.63 (assume @p43 (not @t67)) % 0.31/0.63 (assume @p44 true) % 0.31/0.63 (step @p45 :rule instantiate :premises (@p10) :args ((@list tptp.v400 tptp.v400 tptp.v800))) % 0.31/0.63 (step @p46 :rule eq-symm :args ((not (forall @t2 (or (not @t26) (not @t23)))) @t30)) % 0.31/0.63 (step @p47 :rule refl :args (@t30)) % 0.31/0.63 (step @p48 :rule bool-and-de-morgan :args (@t26 @t23 true)) % 0.31/0.63 (step @p49 :rule cong :premises (@p48) :args (@t68)) % 0.31/0.63 (step @p50 :rule cong :premises (@p49) :args (@t69)) % 0.31/0.63 (step @p51 :rule exists-elim :args ((= @t28 @t69))) % 0.31/0.63 (step @p52 :rule trans :premises (@p51 @p50)) % 0.31/0.63 (step @p53 :rule cong :premises (@p52 @p47) :args ((= @t28 @t30))) % 0.31/0.63 (step @p54 :rule trans :premises (@p53 @p46)) % 0.31/0.63 (step @p55 :rule eq-symm :args (@t30 @t28)) % 0.31/0.63 (step @p56 :rule trans :premises (@p55 @p54)) % 0.31/0.63 (step @p57 :rule cong :premises (@p56) :args (@t31)) % 0.31/0.63 (step @p58 :rule eq_resolve :premises (@p15 @p57)) % 0.31/0.63 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.v0 tptp.v600 tptp.v400 tptp.v800))) % 0.31/0.63 (step @p60 :rule aci_norm :args ((= @t71 @t70))) % 0.31/0.63 (step @p61 :rule refl :args (@t67)) % 0.31/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args (@t72)) % 0.31/0.63 (step @p63 :rule refl :args (@t60)) % 0.31/0.63 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t60 @t72))) % 0.31/0.63 (assume-push @p139 @t60) % 0.31/0.63 (step @p66 :rule instantiate :premises (@p30) :args ((@list tptp.v0 tptp.v600 tptp.v0 tptp.v600 tptp.v400 tptp.v800 tptp.v400 tptp.v800))) % 0.31/0.63 (step-pop @p140 :rule scope :premises (@p66)) % 0.31/0.63 (step @p67 :rule process_scope :premises (@p140) :args (@t72)) % 0.31/0.63 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.31/0.63 (step @p70 :rule implies_elim :premises (@p69)) % 0.31/0.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p30) :args (@t73 @t74 (@list @t60))) % 0.31/0.63 (step @p72 :rule cnf_equiv_pos2 :args (@t73)) % 0.31/0.63 (step @p73 :rule reordering :premises (@p72) :args ((or @t67 @t75 (not @t73)))) % 0.31/0.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p43 @p71) :args (@t75 @t76 (@list @t67 @t73))) % 0.31/0.63 (step @p75 :rule bool-double-not-elim :args (@t77)) % 0.31/0.63 (step @p76 :rule refl :args (@t70)) % 0.31/0.63 (step @p77 :rule refl :args (@t80)) % 0.31/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args ((or @t80 @t70 (not @t78)))) % 0.31/0.63 (step @p79 :rule cnf_equiv_pos2 :args (@t79)) % 0.31/0.63 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.31/0.63 (step @p81 :rule reordering :premises (@p80) :args ((or @t70 @t77 @t80))) % 0.31/0.63 (step @p82 :rule chain_m_resolution :premises (@p81 @p74 @p59) :args (@t77 @t76 (@list @t70 @t79))) % 0.31/0.63 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.v400))) % 0.31/0.63 (step @p84 :rule instantiate :premises (@p10) :args ((@list tptp.v400 tptp.v0 tptp.v600))) % 0.31/0.63 (step @p85 :rule instantiate :premises (@p4) :args ((@list tptp.v400 tptp.v600))) % 0.31/0.63 (step @p86 :rule cnf_or_neg :args (@t81 0)) % 0.31/0.63 (step @p87 :rule reordering :premises (@p86) :args ((or (not @t62) @t81))) % 0.31/0.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p39) :args (@t81 @t74 (@list @t62))) % 0.31/0.63 (step @p89 :rule cnf_equiv_pos2 :args (@t83)) % 0.31/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t82 (not @t81) (not @t83)))) % 0.31/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p85) :args (@t82 @t84 (@list @t81 @t83))) % 0.31/0.63 (step @p92 :rule instantiate :premises (@p4) :args ((@list tptp.v0 tptp.v400))) % 0.31/0.63 (step @p93 :rule cnf_or_neg :args (@t85 0)) % 0.31/0.63 (step @p94 :rule reordering :premises (@p93) :args ((or (not @t61) @t85))) % 0.22/0.63 (step @p95 :rule chain_m_resolution :premises (@p94 @p37) :args (@t85 @t74 (@list @t61))) % 0.22/0.63 (step @p96 :rule cnf_equiv_pos2 :args (@t87)) % 0.22/0.63 (step @p97 :rule reordering :premises (@p96) :args ((or @t86 (not @t85) (not @t87)))) % 0.22/0.63 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p92) :args (@t86 @t84 (@list @t85 @t87))) % 0.22/0.63 (step @p99 :rule cnf_and_neg :args (@t88)) % 0.22/0.63 (step @p100 :rule reordering :premises (@p99) :args ((or (not @t86) (not @t82) @t88))) % 0.22/0.63 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p91) :args (@t88 @t84 (@list @t86 @t82))) % 0.22/0.63 (step @p102 :rule cnf_equiv_pos2 :args (@t90)) % 0.22/0.63 (step @p103 :rule reordering :premises (@p102) :args ((or @t89 (not @t88) (not @t90)))) % 0.22/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p84) :args (@t89 @t84 (@list @t88 @t90))) % 0.22/0.63 (step @p105 :rule cnf_or_pos :args (@t94)) % 0.22/0.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t93 @t92 (not @t94)))) % 0.22/0.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p83) :args (@t92 @t84 (@list @t89 @t94))) % 0.22/0.63 (step @p108 :rule cnf_equiv_pos2 :args (@t98)) % 0.22/0.63 (step @p109 :rule reordering :premises (@p108) :args ((or @t91 @t99 (not @t98)))) % 0.22/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p45) :args (@t99 @t76 (@list @t91 @t98))) % 0.22/0.63 (step @p111 :rule instantiate :premises (@p4) :args ((@list tptp.v400 tptp.v800))) % 0.22/0.63 (step @p112 :rule cnf_or_neg :args (@t100 0)) % 0.22/0.63 (step @p113 :rule reordering :premises (@p112) :args ((or (not @t63) @t100))) % 0.22/0.63 (step @p114 :rule chain_m_resolution :premises (@p113 @p40) :args (@t100 @t74 (@list @t63))) % 0.22/0.63 (step @p115 :rule cnf_equiv_pos2 :args (@t101)) % 0.22/0.63 (step @p116 :rule reordering :premises (@p115) :args ((or @t95 (not @t100) (not @t101)))) % 0.22/0.63 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p111) :args (@t95 @t84 (@list @t100 @t101))) % 0.22/0.63 (step @p118 :rule cnf_and_neg :args (@t97)) % 0.22/0.63 (step @p119 :rule reordering :premises (@p118) :args ((or (not @t95) @t97 @t102))) % 0.22/0.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p110) :args (@t102 (@list false true) (@list @t95 @t97))) % 0.22/0.63 (step @p121 :rule bool-eq-true :args (@t96)) % 0.22/0.63 (step @p122 :rule absorb :args ((= (or @t103 true) true))) % 0.22/0.63 (step @p123 :rule eq-refl :args (tptp.v400)) % 0.22/0.63 (step @p124 :rule refl :args (@t103)) % 0.22/0.63 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t104)) % 0.22/0.63 (step @p126 :rule trans :premises (@p125 @p122)) % 0.22/0.63 (step @p127 :rule refl :args (@t96)) % 0.22/0.63 (step @p128 :rule cong :premises (@p127 @p126) :args (@t105)) % 0.22/0.63 (step @p129 :rule trans :premises (@p128 @p121)) % 0.22/0.63 (step @p130 :rule refl :args (@t12)) % 0.22/0.63 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t12 @t105))) % 0.22/0.63 (assume-push @p141 @t12) % 0.22/0.63 (step @p133 :rule instantiate :premises (@p4) :args ((@list tptp.v400 tptp.v400))) % 0.22/0.63 (step-pop @p142 :rule scope :premises (@p133)) % 0.22/0.63 (step @p134 :rule process_scope :premises (@p142) :args (@t105)) % 0.22/0.63 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.22/0.63 (step @p137 :rule implies_elim :premises (@p136)) % 0.22/0.63 (step @p138 false :rule chain_m_resolution :premises (@p137 @p120 @p4) :args (false @t76 (@list @t96 @t12))) % 0.22/0.63 ) % 0.22/0.63 % SZS output end Proof % 0.22/0.63 % cvc5 exiting %------------------------------------------------------------------------------