%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT013-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 06:04:42 AM UTC 2026 % Result : Unsatisfiable 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT013-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.36 % Computer : n016.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 11:57:02 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.13/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.50 % SZS status Unsatisfiable % 0.18/0.50 % SZS output start Proof % 0.18/0.50 ( % 0.18/0.50 (declare-sort $$unsorted 0) % 0.18/0.50 (declare-const tptp.sk5 $$unsorted) % 0.18/0.50 (declare-const tptp.sk4 $$unsorted) % 0.18/0.50 (declare-const tptp.sk3 $$unsorted) % 0.18/0.50 (declare-const tptp.sk6 $$unsorted) % 0.18/0.50 (declare-const tptp.sk1 $$unsorted) % 0.18/0.50 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.sk7 $$unsorted) % 0.18/0.50 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.time (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.sk2 $$unsorted) % 0.18/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (define @t1 () (@var "B" $$unsorted)) % 0.18/0.50 (define @t2 () (@var "A" $$unsorted)) % 0.18/0.50 (define @t3 () (= @t2 @t1)) % 0.18/0.50 (define @t4 () (tptp.greater @t2 @t1)) % 0.18/0.50 (define @t5 () (not @t4)) % 0.18/0.50 (define @t6 () (@list @t2 @t1)) % 0.18/0.50 (define @t7 () (tptp.greater @t1 @t2)) % 0.18/0.50 (define @t8 () (tptp.time @t1)) % 0.18/0.50 (define @t9 () (not (tptp.organization @t2 @t1))) % 0.18/0.50 (define @t10 () (@var "C" $$unsorted)) % 0.18/0.50 (define @t11 () (not (tptp.reorganization_free @t2 @t1 @t10))) % 0.18/0.50 (define @t12 () (@var "E" $$unsorted)) % 0.18/0.50 (define @t13 () (@var "D" $$unsorted)) % 0.18/0.50 (define @t14 () (= @t13 @t12)) % 0.18/0.50 (define @t15 () (not (= @t1 @t10))) % 0.18/0.50 (define @t16 () (not (tptp.complexity @t2 @t12 @t10))) % 0.18/0.50 (define @t17 () (not (tptp.complexity @t2 @t13 @t1))) % 0.18/0.50 (define @t18 () (not (tptp.organization @t2 @t10))) % 0.18/0.50 (define @t19 () (or @t9 @t18 @t17 @t16 @t15 @t14)) % 0.18/0.50 (define @t20 () (@list @t2 @t1 @t10 @t13 @t12)) % 0.18/0.50 (define @t21 () (forall @t20 @t19)) % 0.18/0.50 (define @t22 () (not (tptp.greater @t13 @t12))) % 0.18/0.50 (define @t23 () (not (tptp.greater @t10 @t1))) % 0.18/0.50 (define @t24 () (tptp.organization tptp.sk1 tptp.sk6)) % 0.18/0.50 (define @t25 () (tptp.organization tptp.sk1 tptp.sk7)) % 0.18/0.50 (define @t26 () (tptp.reorganization_free tptp.sk1 tptp.sk6 tptp.sk7)) % 0.18/0.50 (define @t27 () (tptp.complexity tptp.sk1 tptp.sk2 tptp.sk6)) % 0.18/0.50 (define @t28 () (tptp.complexity tptp.sk1 tptp.sk3 tptp.sk7)) % 0.18/0.50 (define @t29 () (tptp.size tptp.sk1 tptp.sk4 tptp.sk6)) % 0.18/0.50 (define @t30 () (tptp.size tptp.sk1 tptp.sk5 tptp.sk7)) % 0.18/0.50 (define @t31 () (tptp.greater tptp.sk3 tptp.sk2)) % 0.18/0.50 (define @t32 () (tptp.greater tptp.sk4 tptp.sk5)) % 0.18/0.50 (define @t33 () (not (tptp.complexity @t2 @t13 @t10))) % 0.18/0.50 (define @t34 () (or @t18 @t33 @t16 @t14)) % 0.18/0.50 (define @t35 () (not (= @t10 @t10))) % 0.18/0.50 (define @t36 () (or @t18 @t18 @t33 @t16 @t35 @t14)) % 0.18/0.50 (define @t37 () (@list @t2 @t10 @t13 @t12)) % 0.18/0.50 (define @t38 () (or @t15 @t9 @t18 @t17 @t16 @t15 @t14)) % 0.18/0.50 (define @t39 () (@list @t1)) % 0.18/0.50 (define @t40 () (forall @t39 @t19)) % 0.18/0.50 (define @t41 () (forall @t37 @t40)) % 0.18/0.50 (define @t42 () (forall (@list @t2 @t10 @t13 @t12 @t1) @t19)) % 0.18/0.50 (define @t43 () (tptp.complexity tptp.sk1 tptp.sk2 tptp.sk7)) % 0.18/0.50 (define @t44 () (not @t43)) % 0.18/0.50 (define @t45 () (not @t28)) % 0.18/0.50 (define @t46 () (not @t25)) % 0.18/0.50 (define @t47 () (or @t46 @t45 @t44 (= tptp.sk3 tptp.sk2))) % 0.18/0.50 (define @t48 () (forall @t37 @t34)) % 0.18/0.50 (define @t49 () (= tptp.sk2 tptp.sk3)) % 0.18/0.50 (define @t50 () (or @t46 @t45 @t44 @t49)) % 0.18/0.50 (define @t51 () (tptp.reorganization_free tptp.sk1 tptp.sk7 tptp.sk6)) % 0.18/0.50 (define @t52 () (not @t26)) % 0.18/0.50 (define @t53 () (or @t52 @t51)) % 0.18/0.50 (define @t54 () (@list false false)) % 0.18/0.50 (define @t55 () (not @t31)) % 0.18/0.50 (define @t56 () (tptp.greater tptp.sk6 tptp.sk7)) % 0.18/0.50 (define @t57 () (not @t56)) % 0.18/0.50 (define @t58 () (not @t27)) % 0.18/0.50 (define @t59 () (not @t51)) % 0.18/0.50 (define @t60 () (not @t24)) % 0.18/0.50 (define @t61 () (or @t46 @t60 @t59 @t45 @t58 @t57 @t55)) % 0.18/0.50 (define @t62 () (@list false false false false false false false)) % 0.18/0.50 (define @t63 () (not @t32)) % 0.18/0.50 (define @t64 () (tptp.greater tptp.sk7 tptp.sk6)) % 0.18/0.50 (define @t65 () (not @t64)) % 0.18/0.50 (define @t66 () (not @t30)) % 0.18/0.50 (define @t67 () (not @t29)) % 0.18/0.50 (define @t68 () (or @t60 @t46 @t52 @t67 @t66 @t65 @t63)) % 0.18/0.50 (define @t69 () (tptp.time tptp.sk7)) % 0.18/0.50 (define @t70 () (or @t46 @t69)) % 0.18/0.50 (define @t71 () (tptp.time tptp.sk6)) % 0.18/0.50 (define @t72 () (or @t60 @t71)) % 0.18/0.50 (define @t73 () (= tptp.sk6 tptp.sk7)) % 0.18/0.50 (define @t74 () (not @t69)) % 0.18/0.50 (define @t75 () (not @t71)) % 0.18/0.50 (define @t76 () (or @t75 @t74 @t56 @t73 @t64)) % 0.18/0.50 (define @t77 () (tptp.greater tptp.sk2 tptp.sk3)) % 0.18/0.50 (define @t78 () (not @t77)) % 0.18/0.50 (define @t79 () (or @t55 @t78)) % 0.18/0.50 (assume @p1 (forall @t6 (or @t5 (not @t3)))) % 0.18/0.50 (assume @p2 (forall @t6 (or @t5 (not @t7)))) % 0.18/0.50 (assume @p3 (forall @t6 (or @t9 @t8))) % 0.18/0.50 (assume @p4 (forall @t6 (or (not (tptp.time @t2)) (not @t8) @t4 @t3 @t7))) % 0.18/0.50 (assume @p5 (forall (@list @t2 @t1 @t10) (or @t11 (tptp.reorganization_free @t2 @t10 @t1)))) % 0.18/0.50 (assume @p6 @t21) % 0.18/0.50 (assume @p7 (forall @t20 (or @t9 @t18 @t11 (not (tptp.size @t2 @t13 @t1)) (not (tptp.size @t2 @t12 @t10)) @t23 @t22))) % 0.18/0.50 (assume @p8 (forall @t20 (or @t9 @t18 @t11 @t17 @t16 @t23 @t22))) % 0.18/0.50 (assume @p9 @t24) % 0.18/0.50 (assume @p10 @t25) % 0.18/0.50 (assume @p11 @t26) % 0.18/0.50 (assume @p12 @t27) % 0.18/0.50 (assume @p13 @t28) % 0.18/0.50 (assume @p14 @t29) % 0.18/0.50 (assume @p15 @t30) % 0.18/0.50 (assume @p16 @t31) % 0.18/0.50 (assume @p17 @t32) % 0.18/0.50 (step @p18 :rule evaluate :args ((= false true))) % 0.18/0.50 (step @p19 :rule true_intro :premises (@p16)) % 0.18/0.50 (step @p20 :rule refl :args (tptp.sk2)) % 0.18/0.50 (step @p21 :rule aci_norm :args ((= (or @t18 @t18 @t33 @t16 false @t14) @t34))) % 0.18/0.50 (step @p22 :rule refl :args (@t14)) % 0.18/0.50 (step @p23 :rule evaluate :args ((not true))) % 0.18/0.50 (step @p24 :rule eq-refl :args (@t10)) % 0.18/0.50 (step @p25 :rule cong :premises (@p24) :args (@t35)) % 0.18/0.50 (step @p26 :rule trans :premises (@p25 @p23)) % 0.18/0.50 (step @p27 :rule refl :args (@t16)) % 0.18/0.50 (step @p28 :rule refl :args (@t33)) % 0.18/0.50 (step @p29 :rule refl :args (@t18)) % 0.18/0.50 (step @p30 :rule nary_cong :premises (@p29 @p29 @p28 @p27 @p26 @p22) :args (@t36)) % 0.18/0.50 (step @p31 :rule trans :premises (@p30 @p21)) % 0.18/0.50 (step @p32 :rule cong :premises (@p31) :args ((forall @t37 @t36))) % 0.18/0.50 (step @p33 :rule quant-var-elim-eq :args ((= (forall @t39 @t38) @t36))) % 0.18/0.50 (step @p34 :rule aci_norm :args ((= @t19 @t38))) % 0.18/0.50 (step @p35 :rule cong :premises (@p34) :args (@t40)) % 0.18/0.50 (step @p36 :rule trans :premises (@p35 @p33)) % 0.18/0.50 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 0.18/0.50 (step @p38 :rule quant-merge-prenex :args ((= @t41 @t42))) % 0.18/0.50 (step @p39 :rule symm :premises (@p38)) % 0.18/0.50 (step @p40 :rule quant_var_reordering :args ((= @t21 @t42))) % 0.18/0.50 (step @p41 :rule trans :premises (@p40 @p39 @p37)) % 0.18/0.50 (step @p42 :rule trans :premises (@p41 @p32)) % 0.18/0.50 (step @p43 :rule eq_resolve :premises (@p6 @p42)) % 0.18/0.50 (step @p44 :rule eq-symm :args (tptp.sk3 tptp.sk2)) % 0.18/0.50 (step @p45 :rule refl :args (@t44)) % 0.18/0.50 (step @p46 :rule refl :args (@t45)) % 0.18/0.50 (step @p47 :rule refl :args (@t46)) % 0.18/0.50 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44) :args (@t47)) % 0.18/0.50 (step @p49 :rule refl :args (@t48)) % 0.18/0.50 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t48 @t47))) % 0.18/0.50 (assume-push @p102 @t48) % 0.18/0.50 (step @p52 :rule instantiate :premises (@p43) :args ((@list tptp.sk1 tptp.sk7 tptp.sk3 tptp.sk2))) % 0.18/0.50 (step-pop @p103 :rule scope :premises (@p52)) % 0.18/0.50 (step @p53 :rule process_scope :premises (@p103) :args (@t47)) % 0.18/0.50 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.18/0.50 (step @p56 :rule implies_elim :premises (@p55)) % 0.18/0.50 (step @p57 :rule chain_m_resolution :premises (@p56 @p43) :args (@t50 (@list false) (@list @t48))) % 0.18/0.50 (step @p58 :rule true_intro :premises (@p12)) % 0.18/0.50 (step @p59 :rule instantiate :premises (@p4) :args ((@list tptp.sk6 tptp.sk7))) % 0.18/0.50 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.sk1 tptp.sk7 tptp.sk6 tptp.sk3 tptp.sk2))) % 0.18/0.50 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.sk1 tptp.sk6 tptp.sk7))) % 0.18/0.50 (step @p62 :rule cnf_or_pos :args (@t53)) % 0.18/0.50 (step @p63 :rule reordering :premises (@p62) :args ((or @t52 @t51 (not @t53)))) % 0.18/0.50 (step @p64 :rule chain_m_resolution :premises (@p63 @p11 @p61) :args (@t51 @t54 (@list @t26 @t53))) % 0.18/0.50 (step @p65 :rule cnf_or_pos :args (@t61)) % 0.18/0.50 (step @p66 :rule reordering :premises (@p65) :args ((or @t60 @t46 @t58 @t45 @t55 @t59 @t57 (not @t61)))) % 0.18/0.50 (step @p67 :rule chain_m_resolution :premises (@p66 @p9 @p10 @p12 @p13 @p16 @p64 @p60) :args (@t57 @t62 (@list @t24 @t25 @t27 @t28 @t31 @t51 @t61))) % 0.18/0.50 (step @p68 :rule instantiate :premises (@p7) :args ((@list tptp.sk1 tptp.sk6 tptp.sk7 tptp.sk4 tptp.sk5))) % 0.18/0.50 (step @p69 :rule cnf_or_pos :args (@t68)) % 0.18/0.50 (step @p70 :rule reordering :premises (@p69) :args ((or @t60 @t46 @t52 @t67 @t66 @t63 @t65 (not @t68)))) % 0.18/0.50 (step @p71 :rule chain_m_resolution :premises (@p70 @p9 @p10 @p11 @p14 @p15 @p17 @p68) :args (@t65 @t62 (@list @t24 @t25 @t26 @t29 @t30 @t32 @t68))) % 0.18/0.50 (step @p72 :rule instantiate :premises (@p3) :args ((@list tptp.sk1 tptp.sk7))) % 0.18/0.50 (step @p73 :rule cnf_or_pos :args (@t70)) % 0.18/0.50 (step @p74 :rule reordering :premises (@p73) :args ((or @t46 @t69 (not @t70)))) % 0.18/0.50 (step @p75 :rule chain_m_resolution :premises (@p74 @p10 @p72) :args (@t69 @t54 (@list @t25 @t70))) % 0.18/0.50 (step @p76 :rule instantiate :premises (@p3) :args ((@list tptp.sk1 tptp.sk6))) % 0.18/0.50 (step @p77 :rule cnf_or_pos :args (@t72)) % 0.18/0.50 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 @t71 (not @t72)))) % 0.18/0.50 (step @p79 :rule chain_m_resolution :premises (@p78 @p9 @p76) :args (@t71 @t54 (@list @t24 @t72))) % 0.18/0.50 (step @p80 :rule cnf_or_pos :args (@t76)) % 0.18/0.50 (step @p81 :rule reordering :premises (@p80) :args ((or @t75 @t74 @t64 @t56 @t73 (not @t76)))) % 0.18/0.50 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p75 @p71 @p67 @p59) :args (@t73 (@list false false true true false) (@list @t71 @t69 @t64 @t56 @t76))) % 0.18/0.50 (step @p83 :rule symm :premises (@p82)) % 0.18/0.50 (step @p84 :rule refl :args (tptp.sk1)) % 0.18/0.50 (step @p85 :rule cong :premises (@p84 @p20 @p83) :args (@t43)) % 0.18/0.50 (step @p86 :rule trans :premises (@p85 @p58)) % 0.18/0.50 (step @p87 :rule true_elim :premises (@p86)) % 0.18/0.50 (step @p88 :rule cnf_or_pos :args (@t50)) % 0.18/0.50 (step @p89 :rule reordering :premises (@p88) :args ((or @t46 @t45 @t49 @t44 (not @t50)))) % 0.18/0.50 (step @p90 :rule chain_m_resolution :premises (@p89 @p10 @p13 @p87 @p57) :args (@t49 (@list false false false false) (@list @t25 @t28 @t43 @t50))) % 0.18/0.50 (step @p91 :rule cong :premises (@p90 @p20) :args ((tptp.greater tptp.sk2 tptp.sk2))) % 0.18/0.50 (step @p92 :rule symm :premises (@p90)) % 0.18/0.50 (step @p93 :rule cong :premises (@p20 @p92) :args (@t77)) % 0.18/0.50 (step @p94 :rule instantiate :premises (@p2) :args ((@list tptp.sk3 tptp.sk2))) % 0.18/0.50 (step @p95 :rule cnf_or_pos :args (@t79)) % 0.18/0.50 (step @p96 :rule reordering :premises (@p95) :args ((or @t55 @t78 (not @t79)))) % 0.18/0.50 (step @p97 :rule chain_m_resolution :premises (@p96 @p16 @p94) :args (@t78 @t54 (@list @t31 @t79))) % 0.18/0.50 (step @p98 :rule false_intro :premises (@p97)) % 0.18/0.50 (step @p99 :rule symm :premises (@p98)) % 0.18/0.50 (step @p100 :rule trans :premises (@p99 @p93 @p91 @p19)) % 0.18/0.50 (step @p101 false :rule eq_resolve :premises (@p100 @p18)) % 0.18/0.50 ) % 0.18/0.51 % SZS output end Proof % 0.18/0.51 % cvc5 exiting %------------------------------------------------------------------------------