%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT073+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT073+1 : TPTP v9.3.0. Released v9.3.0. % 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 : n008.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 % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 13:58:23 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.52 % SZS status Theorem % 0.21/0.52 % SZS output start Proof % 0.21/0.52 ( % 0.21/0.52 (declare-sort $$unsorted 0) % 0.21/0.52 (declare-const tptp.n0 $$unsorted) % 0.21/0.52 (declare-const tptp.box2_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.box2_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.in_box3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.n10 $$unsorted) % 0.21/0.52 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.52 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.n5 $$unsorted) % 0.21/0.52 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.in_box2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.conflict $$unsorted) % 0.21/0.52 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.compatible $$unsorted) % 0.21/0.52 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.52 (declare-const tptp.unknown $$unsorted) % 0.21/0.52 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.52 (define @t2 () (@list @t1)) % 0.21/0.52 (define @t3 () (@var "Z" $$unsorted)) % 0.21/0.52 (define @t4 () (tptp.less @t1 @t3)) % 0.21/0.52 (define @t5 () (@var "Y" $$unsorted)) % 0.21/0.52 (define @t6 () (tptp.less @t5 @t3)) % 0.21/0.52 (define @t7 () (tptp.less @t1 @t5)) % 0.21/0.52 (define @t8 () (@list @t1 @t5 @t3)) % 0.21/0.52 (define @t9 () (= @t1 @t5)) % 0.21/0.52 (define @t10 () (@list @t1 @t5)) % 0.21/0.52 (define @t11 () (tptp.leq @t1 @t5)) % 0.21/0.52 (define @t12 () (tptp.leq @t5 @t3)) % 0.21/0.52 (define @t13 () (@var "B" $$unsorted)) % 0.21/0.52 (define @t14 () (tptp.leq @t1 @t13)) % 0.21/0.52 (define @t15 () (@var "A" $$unsorted)) % 0.21/0.52 (define @t16 () (tptp.leq @t15 @t1)) % 0.21/0.52 (define @t17 () (@list @t1 @t15 @t13)) % 0.21/0.52 (define @t18 () (tptp.less @t15 @t1)) % 0.21/0.52 (define @t19 () (tptp.less @t1 @t13)) % 0.21/0.52 (define @t20 () (@var "I2hi" $$unsorted)) % 0.21/0.52 (define @t21 () (@var "I2lo" $$unsorted)) % 0.21/0.52 (define @t22 () (tptp.in_closed @t1 @t21 @t20)) % 0.21/0.52 (define @t23 () (@var "I1hi" $$unsorted)) % 0.21/0.52 (define @t24 () (@var "I1lo" $$unsorted)) % 0.21/0.52 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.21/0.52 (define @t26 () (and @t25 @t22)) % 0.21/0.52 (define @t27 () (exists @t2 @t26)) % 0.21/0.52 (define @t28 () (@list @t24 @t23 @t21 @t20)) % 0.21/0.52 (define @t29 () (tptp.axis_compatible @t24 @t23 @t21 @t20)) % 0.21/0.52 (define @t30 () (forall @t28 (= @t29 @t27))) % 0.21/0.52 (define @t31 () (@var "V" $$unsorted)) % 0.21/0.52 (define @t32 () (@var "V2" $$unsorted)) % 0.21/0.52 (define @t33 () (@var "V1" $$unsorted)) % 0.21/0.52 (define @t34 () (tptp.box_verdict @t33 @t32)) % 0.21/0.52 (define @t35 () (= @t34 tptp.conflict)) % 0.21/0.52 (define @t36 () (= @t32 tptp.conflict)) % 0.21/0.52 (define @t37 () (= @t33 tptp.conflict)) % 0.21/0.52 (define @t38 () (tptp.is_verdict @t32)) % 0.21/0.52 (define @t39 () (tptp.is_verdict @t33)) % 0.21/0.52 (define @t40 () (@list @t33 @t32)) % 0.21/0.52 (define @t41 () (= @t34 tptp.compatible)) % 0.21/0.52 (define @t42 () (= @t34 tptp.unknown)) % 0.21/0.52 (define @t43 () (@var "B2" $$unsorted)) % 0.21/0.52 (define @t44 () (@var "A2" $$unsorted)) % 0.21/0.52 (define @t45 () (@var "X2" $$unsorted)) % 0.21/0.52 (define @t46 () (tptp.in_closed @t45 @t44 @t43)) % 0.21/0.52 (define @t47 () (@var "B1" $$unsorted)) % 0.21/0.52 (define @t48 () (@var "A1" $$unsorted)) % 0.21/0.52 (define @t49 () (@var "X1" $$unsorted)) % 0.21/0.52 (define @t50 () (tptp.in_closed @t49 @t48 @t47)) % 0.21/0.52 (define @t51 () (@var "B3" $$unsorted)) % 0.21/0.52 (define @t52 () (@var "A3" $$unsorted)) % 0.21/0.52 (define @t53 () (@var "X3" $$unsorted)) % 0.21/0.52 (define @t54 () (@var "D2" $$unsorted)) % 0.21/0.52 (define @t55 () (@var "C2" $$unsorted)) % 0.21/0.52 (define @t56 () (@var "D1" $$unsorted)) % 0.21/0.52 (define @t57 () (@var "C1" $$unsorted)) % 0.21/0.52 (define @t58 () (@list @t48 @t47 @t44 @t43 @t57 @t56 @t55 @t54)) % 0.21/0.52 (define @t59 () (tptp.axis_compatible tptp.n0 tptp.n10 tptp.n5 tptp.n10)) % 0.21/0.52 (define @t60 () (tptp.in_closed @t1 tptp.n5 tptp.n10)) % 0.21/0.52 (define @t61 () (tptp.in_closed @t1 tptp.n0 tptp.n10)) % 0.21/0.52 (define @t62 () (and @t61 @t60)) % 0.21/0.52 (define @t63 () (exists @t2 @t62)) % 0.21/0.52 (define @t64 () (not @t63)) % 0.21/0.52 (define @t65 () (not (forall @t2 (or (not @t25) (not @t22))))) % 0.21/0.52 (define @t66 () (forall @t2 (not @t26))) % 0.21/0.52 (define @t67 () (not @t66)) % 0.21/0.52 (define @t68 () (forall @t2 (or (not @t61) (not @t60)))) % 0.21/0.52 (define @t69 () (forall @t2 (not @t62))) % 0.21/0.52 (define @t70 () (not @t69)) % 0.21/0.52 (define @t71 () (not @t68)) % 0.21/0.52 (define @t72 () (= @t59 @t71)) % 0.21/0.52 (define @t73 () (not @t72)) % 0.21/0.52 (define @t74 () (forall @t28 (= @t29 @t65))) % 0.21/0.52 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.21/0.52 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.21/0.52 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.21/0.52 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.21/0.52 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.21/0.52 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.21/0.52 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.21/0.52 (assume @p8 (forall @t8 (=> (and @t7 @t12) @t4))) % 0.21/0.52 (assume @p9 (forall @t8 (=> (and @t11 @t12) (tptp.leq @t1 @t3)))) % 0.21/0.52 (assume @p10 (forall @t17 (= (tptp.in_closed @t1 @t15 @t13) (and @t16 @t14)))) % 0.21/0.52 (assume @p11 (forall @t17 (= (tptp.in_lopen @t1 @t15 @t13) (and @t18 @t14)))) % 0.21/0.52 (assume @p12 (forall @t17 (= (tptp.in_ropen @t1 @t15 @t13) (and @t16 @t19)))) % 0.21/0.52 (assume @p13 (forall @t17 (= (tptp.in_open @t1 @t15 @t13) (and @t18 @t19)))) % 0.21/0.52 (assume @p14 (forall @t28 (= (tptp.axis_conflict @t24 @t23 @t21 @t20) (not @t27)))) % 0.21/0.52 (assume @p15 @t30) % 0.21/0.52 (assume @p16 (forall @t28 (= (tptp.axis_subsumes @t24 @t23 @t21 @t20) (forall @t2 (=> @t25 @t22))))) % 0.21/0.52 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.21/0.52 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.21/0.52 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.21/0.52 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.21/0.52 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.21/0.52 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.21/0.52 (assume @p23 (forall (@list @t31) (=> (tptp.is_verdict @t31) (or (= @t31 tptp.conflict) (= @t31 tptp.compatible) (= @t31 tptp.unknown))))) % 0.21/0.52 (assume @p24 (forall @t40 (=> (and @t39 @t38 (or @t37 @t36)) @t35))) % 0.21/0.52 (assume @p25 (forall @t40 (=> (and @t39 @t38 (= @t33 tptp.compatible) (= @t32 tptp.compatible)) @t41))) % 0.21/0.52 (assume @p26 (forall @t40 (=> (and @t39 @t38 (or (= @t33 tptp.unknown) (= @t32 tptp.unknown)) (not @t37) (not @t36)) @t42))) % 0.21/0.52 (assume @p27 (forall @t40 (=> (and @t39 @t38) (or @t35 @t41 @t42)))) % 0.21/0.52 (assume @p28 (forall (@list @t49 @t45 @t48 @t47 @t44 @t43) (= (tptp.in_box2 @t49 @t45 @t48 @t47 @t44 @t43) (and @t50 @t46)))) % 0.21/0.52 (assume @p29 (forall (@list @t49 @t45 @t53 @t48 @t47 @t44 @t43 @t52 @t51) (= (tptp.in_box3 @t49 @t45 @t53 @t48 @t47 @t44 @t43 @t52 @t51) (and @t50 @t46 (tptp.in_closed @t53 @t52 @t51))))) % 0.21/0.52 (assume @p30 (forall @t58 (= (tptp.box2_compatible @t48 @t47 @t44 @t43 @t57 @t56 @t55 @t54) (and (tptp.axis_compatible @t48 @t47 @t57 @t56) (tptp.axis_compatible @t44 @t43 @t55 @t54))))) % 0.21/0.52 (assume @p31 (forall @t58 (= (tptp.box2_conflict @t48 @t47 @t44 @t43 @t57 @t56 @t55 @t54) (or (tptp.axis_conflict @t48 @t47 @t57 @t56) (tptp.axis_conflict @t44 @t43 @t55 @t54))))) % 0.21/0.52 (assume @p32 (forall (@list @t1 @t31) (= (tptp.in_closed @t1 @t31 @t31) (= @t1 @t31)))) % 0.21/0.52 (assume @p33 (tptp.less tptp.n0 tptp.n5)) % 0.21/0.52 (assume @p34 (tptp.less tptp.n5 tptp.n10)) % 0.21/0.52 (assume @p35 @t59) % 0.21/0.52 (assume @p36 @t64) % 0.21/0.52 (assume @p37 true) % 0.21/0.52 (step @p38 :rule eq-symm :args (@t65 @t29)) % 0.21/0.52 (step @p39 :rule refl :args (@t29)) % 0.21/0.52 (step @p40 :rule bool-and-de-morgan :args (@t25 @t22 true)) % 0.21/0.52 (step @p41 :rule cong :premises (@p40) :args (@t66)) % 0.21/0.52 (step @p42 :rule cong :premises (@p41) :args (@t67)) % 0.21/0.52 (step @p43 :rule exists-elim :args ((= @t27 @t67))) % 0.21/0.52 (step @p44 :rule trans :premises (@p43 @p42)) % 0.21/0.52 (step @p45 :rule cong :premises (@p44 @p39) :args ((= @t27 @t29))) % 0.21/0.52 (step @p46 :rule trans :premises (@p45 @p38)) % 0.21/0.52 (step @p47 :rule eq-symm :args (@t29 @t27)) % 0.21/0.52 (step @p48 :rule trans :premises (@p47 @p46)) % 0.21/0.52 (step @p49 :rule cong :premises (@p48) :args (@t30)) % 0.21/0.52 (step @p50 :rule eq_resolve :premises (@p15 @p49)) % 0.21/0.52 (step @p51 :rule bool-double-not-elim :args (@t68)) % 0.21/0.52 (step @p52 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 0.21/0.52 (step @p53 :rule cong :premises (@p52) :args (@t69)) % 0.21/0.52 (step @p54 :rule cong :premises (@p53) :args (@t70)) % 0.21/0.52 (step @p55 :rule exists-elim :args ((= @t63 @t70))) % 0.21/0.52 (step @p56 :rule trans :premises (@p55 @p54)) % 0.21/0.52 (step @p57 :rule cong :premises (@p56) :args (@t64)) % 0.21/0.52 (step @p58 :rule trans :premises (@p57 @p51)) % 0.21/0.52 (step @p59 :rule eq_resolve :premises (@p36 @p58)) % 0.21/0.52 (step @p60 :rule cnf_equiv_pos1 :args (@t72)) % 0.21/0.52 (step @p61 :rule reordering :premises (@p60) :args ((or @t71 (not @t59) @t73))) % 0.21/0.52 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p35) :args (@t73 (@list false false) (@list @t68 @t59))) % 0.21/0.52 (assume-push @p69 @t74) % 0.21/0.52 (step @p64 :rule instantiate :premises (@p50) :args ((@list tptp.n0 tptp.n10 tptp.n5 tptp.n10))) % 0.21/0.52 (step-pop @p70 :rule scope :premises (@p64)) % 0.21/0.52 (step @p65 :rule process_scope :premises (@p70) :args (@t72)) % 0.21/0.52 (step @p67 :rule implies_elim :premises (@p65)) % 0.21/0.52 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p50) :args (false (@list true false) (@list @t72 @t74))) % 0.21/0.52 ) % 0.21/0.52 % SZS output end Proof % 0.21/0.52 % cvc5 exiting %------------------------------------------------------------------------------