%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT010-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:09:24 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.65s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : CAT010-10 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.16 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.39 % Computer : n002.cluster.edu % 0.16/0.39 % Model : x86_64 x86_64 % 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.39 % Memory : 8042.1875MB % 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.39 % CPULimit : 300 % 0.16/0.39 % WCLimit : 300 % 0.16/0.39 % DateTime : Wed Jun 3 02:54:51 EDT 2026 % 0.16/0.39 % CPUTime : % 0.33/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.65 % SZS status Unsatisfiable % 0.34/0.65 % SZS output start Proof % 0.34/0.65 ( % 0.34/0.65 (declare-sort $$unsorted 0) % 0.34/0.65 (declare-const tptp.a $$unsorted) % 0.34/0.65 (declare-const tptp.b $$unsorted) % 0.34/0.65 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.there_exists (-> $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.65 (declare-const tptp.true $$unsorted) % 0.34/0.65 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.34/0.65 (define @t2 () (@var "C" $$unsorted)) % 0.34/0.65 (define @t3 () (@var "A" $$unsorted)) % 0.34/0.65 (define @t4 () (@list @t3 @t1 @t2)) % 0.34/0.65 (define @t5 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.34/0.65 (define @t6 () (forall @t4 (= @t5 @t1))) % 0.34/0.65 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.34/0.65 (define @t8 () (forall @t4 (= @t7 @t1))) % 0.34/0.65 (define @t9 () (@var "X" $$unsorted)) % 0.34/0.65 (define @t10 () (tptp.there_exists @t9)) % 0.34/0.65 (define @t11 () (@var "Y" $$unsorted)) % 0.34/0.65 (define @t12 () (tptp.equivalent @t9 @t11)) % 0.34/0.65 (define @t13 () (@list @t9 @t11)) % 0.34/0.65 (define @t14 () (tptp.domain @t9)) % 0.34/0.65 (define @t15 () (tptp.there_exists @t14)) % 0.34/0.65 (define @t16 () (tptp.ifeq @t15 tptp.true @t10 tptp.true)) % 0.34/0.65 (define @t17 () (@list @t9)) % 0.34/0.65 (define @t18 () (forall @t17 (= @t16 tptp.true))) % 0.34/0.65 (define @t19 () (tptp.codomain @t9)) % 0.34/0.65 (define @t20 () (tptp.compose @t9 @t11)) % 0.34/0.65 (define @t21 () (tptp.there_exists @t20)) % 0.34/0.65 (define @t22 () (tptp.ifeq @t21 tptp.true @t15 tptp.true)) % 0.34/0.65 (define @t23 () (forall @t13 (= @t22 tptp.true))) % 0.34/0.65 (define @t24 () (tptp.codomain @t11)) % 0.34/0.65 (define @t25 () (tptp.ifeq2 @t21 tptp.true @t14 @t24)) % 0.34/0.65 (define @t26 () (forall @t13 (= @t25 @t24))) % 0.34/0.65 (define @t27 () (@var "Z" $$unsorted)) % 0.34/0.65 (define @t28 () (tptp.compose @t19 @t9)) % 0.34/0.65 (define @t29 () (forall @t17 (= @t28 @t9))) % 0.34/0.65 (define @t30 () (tptp.compose tptp.a tptp.b)) % 0.34/0.65 (define @t31 () (tptp.there_exists @t30)) % 0.34/0.65 (define @t32 () (tptp.codomain tptp.a)) % 0.34/0.65 (define @t33 () (tptp.codomain @t30)) % 0.34/0.65 (define @t34 () (= @t33 @t32)) % 0.34/0.65 (define @t35 () (not @t34)) % 0.34/0.65 (define @t36 () (@list tptp.a)) % 0.34/0.65 (define @t37 () (tptp.there_exists (tptp.domain tptp.a))) % 0.34/0.65 (define @t38 () (tptp.there_exists tptp.a)) % 0.34/0.65 (define @t39 () (tptp.domain @t32)) % 0.34/0.65 (define @t40 () (tptp.ifeq2 tptp.true tptp.true @t39 @t32)) % 0.34/0.65 (define @t41 () (= @t39 @t40)) % 0.34/0.65 (define @t42 () (not @t41)) % 0.34/0.65 (define @t43 () (tptp.ifeq2 tptp.true tptp.true @t39 @t33)) % 0.34/0.65 (define @t44 () (= @t39 @t43)) % 0.34/0.65 (define @t45 () (not @t44)) % 0.34/0.65 (define @t46 () (tptp.compose @t32 @t30)) % 0.34/0.65 (define @t47 () (= @t33 (tptp.ifeq2 (tptp.there_exists @t46) tptp.true @t39 @t33))) % 0.34/0.65 (define @t48 () (not @t47)) % 0.34/0.65 (define @t49 () (= @t38 (tptp.ifeq tptp.true tptp.true @t38 tptp.true))) % 0.34/0.65 (define @t50 () (not @t49)) % 0.34/0.65 (define @t51 () (tptp.compose @t32 tptp.a)) % 0.34/0.65 (define @t52 () (= @t46 (tptp.compose @t51 tptp.b))) % 0.34/0.65 (define @t53 () (not @t52)) % 0.34/0.65 (define @t54 () (= @t32 (tptp.ifeq2 (tptp.there_exists @t51) tptp.true @t39 @t32))) % 0.34/0.65 (define @t55 () (not @t54)) % 0.34/0.65 (define @t56 () (tptp.ifeq @t37 tptp.true @t38 tptp.true)) % 0.34/0.65 (define @t57 () (= tptp.true @t56)) % 0.34/0.65 (define @t58 () (not @t57)) % 0.34/0.65 (define @t59 () (tptp.ifeq tptp.true tptp.true @t37 tptp.true)) % 0.34/0.65 (define @t60 () (= @t37 @t59)) % 0.34/0.65 (define @t61 () (not @t60)) % 0.34/0.65 (define @t62 () (= tptp.a @t51)) % 0.34/0.65 (define @t63 () (not @t62)) % 0.34/0.65 (define @t64 () (= tptp.true (tptp.ifeq @t31 tptp.true @t37 tptp.true))) % 0.34/0.65 (define @t65 () (not @t64)) % 0.34/0.65 (define @t66 () (= tptp.true @t31)) % 0.34/0.65 (define @t67 () (not @t66)) % 0.34/0.65 (define @t68 () (and @t35 @t66 @t64 @t62 @t60 @t57 @t54 @t52 @t49 @t47 @t44)) % 0.34/0.65 (assume @p1 (forall @t4 (= (tptp.ifeq3 @t3 @t3 @t1 @t2) @t1))) % 0.34/0.65 (assume @p2 @t6) % 0.34/0.65 (assume @p3 @t8) % 0.34/0.65 (assume @p4 (forall @t13 (= (tptp.ifeq @t12 tptp.true @t10 tptp.true) tptp.true))) % 0.34/0.65 (assume @p5 (forall @t13 (= (tptp.ifeq2 @t12 tptp.true @t9 @t11) @t11))) % 0.34/0.65 (assume @p6 (forall (@list @t11) (= (tptp.ifeq (tptp.there_exists @t11) tptp.true (tptp.equivalent @t11 @t11) tptp.true) tptp.true))) % 0.34/0.65 (assume @p7 @t18) % 0.34/0.65 (assume @p8 (forall @t17 (= (tptp.ifeq (tptp.there_exists @t19) tptp.true @t10 tptp.true) tptp.true))) % 0.34/0.65 (assume @p9 @t23) % 0.34/0.65 (assume @p10 @t26) % 0.34/0.65 (assume @p11 (forall @t13 (= (tptp.ifeq @t15 tptp.true (tptp.ifeq3 @t14 @t24 @t21 tptp.true) tptp.true) tptp.true))) % 0.34/0.65 (assume @p12 (forall (@list @t9 @t11 @t27) (= (tptp.compose @t9 (tptp.compose @t11 @t27)) (tptp.compose @t20 @t27)))) % 0.34/0.65 (assume @p13 (forall @t17 (= (tptp.compose @t9 @t14) @t9))) % 0.34/0.65 (assume @p14 @t29) % 0.34/0.65 (assume @p15 (= @t31 tptp.true)) % 0.34/0.65 (assume @p16 @t35) % 0.34/0.65 (step @p17 :rule symm :premises (@p15)) % 0.34/0.65 (step @p18 :rule eq-symm :args (@t22 tptp.true)) % 0.34/0.65 (step @p19 :rule cong :premises (@p18) :args (@t23)) % 0.34/0.65 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 0.34/0.65 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.a tptp.b))) % 0.34/0.65 (step @p22 :rule eq-symm :args (@t28 @t9)) % 0.34/0.65 (step @p23 :rule cong :premises (@p22) :args (@t29)) % 0.34/0.65 (step @p24 :rule eq_resolve :premises (@p14 @p23)) % 0.34/0.65 (step @p25 :rule instantiate :premises (@p24) :args (@t36)) % 0.34/0.65 (step @p26 :rule eq-symm :args (@t7 @t1)) % 0.34/0.65 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 0.34/0.65 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 0.34/0.65 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.true @t37 tptp.true))) % 0.34/0.65 (step @p30 :rule eq-symm :args (@t16 tptp.true)) % 0.34/0.65 (step @p31 :rule cong :premises (@p30) :args (@t18)) % 0.34/0.65 (step @p32 :rule eq_resolve :premises (@p7 @p31)) % 0.34/0.65 (step @p33 :rule instantiate :premises (@p32) :args (@t36)) % 0.34/0.65 (step @p34 :rule eq-symm :args (@t25 @t24)) % 0.34/0.65 (step @p35 :rule cong :premises (@p34) :args (@t26)) % 0.34/0.65 (step @p36 :rule eq_resolve :premises (@p10 @p35)) % 0.34/0.65 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t32 tptp.a))) % 0.34/0.65 (step @p38 :rule instantiate :premises (@p12) :args ((@list @t32 tptp.a tptp.b))) % 0.34/0.65 (step @p39 :rule instantiate :premises (@p28) :args ((@list tptp.true @t38 tptp.true))) % 0.34/0.65 (step @p40 :rule instantiate :premises (@p36) :args ((@list @t32 @t30))) % 0.34/0.65 (step @p41 :rule eq-symm :args (@t5 @t1)) % 0.34/0.65 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 0.34/0.65 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 0.34/0.65 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.true @t39 @t33))) % 0.34/0.65 (step @p45 :rule instantiate :premises (@p43) :args ((@list tptp.true @t39 @t32))) % 0.34/0.65 (step @p46 :rule refl :args (@t42)) % 0.34/0.65 (step @p47 :rule refl :args (@t45)) % 0.34/0.65 (step @p48 :rule refl :args (@t48)) % 0.34/0.65 (step @p49 :rule refl :args (@t50)) % 0.34/0.65 (step @p50 :rule refl :args (@t53)) % 0.34/0.65 (step @p51 :rule refl :args (@t55)) % 0.34/0.65 (step @p52 :rule refl :args (@t58)) % 0.34/0.65 (step @p53 :rule refl :args (@t61)) % 0.34/0.65 (step @p54 :rule refl :args (@t63)) % 0.34/0.65 (step @p55 :rule refl :args (@t65)) % 0.34/0.65 (step @p56 :rule refl :args (@t67)) % 0.34/0.65 (step @p57 :rule bool-double-not-elim :args (@t34)) % 0.34/0.65 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46) :args ((or (not @t35) @t67 @t65 @t63 @t61 @t58 @t55 @t53 @t50 @t48 @t45 @t42))) % 0.34/0.65 (assume-push @p118 @t35) % 0.34/0.65 (assume-push @p119 @t66) % 0.34/0.65 (assume-push @p120 @t64) % 0.34/0.65 (assume-push @p121 @t62) % 0.34/0.65 (assume-push @p122 @t60) % 0.34/0.65 (assume-push @p123 @t57) % 0.34/0.65 (assume-push @p124 @t54) % 0.34/0.65 (assume-push @p125 @t52) % 0.34/0.65 (assume-push @p126 @t49) % 0.34/0.65 (assume-push @p127 @t47) % 0.34/0.65 (assume-push @p128 @t44) % 0.34/0.65 (step @p70 :rule false_intro :premises (@p16)) % 0.34/0.65 (step @p71 :rule symm :premises (@p37)) % 0.34/0.65 (step @p72 :rule refl :args (@t32)) % 0.34/0.65 (step @p73 :rule refl :args (@t39)) % 0.34/0.65 (step @p74 :rule refl :args (tptp.true)) % 0.34/0.65 (step @p75 :rule cong :premises (@p25) :args (@t38)) % 0.34/0.65 (step @p76 :rule symm :premises (@p39)) % 0.34/0.65 (step @p77 :rule refl :args (@t38)) % 0.34/0.65 (step @p78 :rule symm :premises (@p21)) % 0.34/0.65 (step @p79 :rule refl :args (@t37)) % 0.34/0.65 (step @p80 :rule cong :premises (@p17 @p74 @p79 @p74) :args (@t59)) % 0.34/0.65 (step @p81 :rule trans :premises (@p29 @p80 @p78 @p17)) % 0.34/0.65 (step @p82 :rule trans :premises (@p81 @p15)) % 0.34/0.65 (step @p83 :rule cong :premises (@p82 @p74 @p77 @p74) :args (@t56)) % 0.34/0.65 (step @p84 :rule trans :premises (@p15 @p33 @p83 @p76 @p75)) % 0.34/0.65 (step @p85 :rule trans :premises (@p17 @p84)) % 0.34/0.65 (step @p86 :rule cong :premises (@p85 @p74 @p73 @p72) :args (@t40)) % 0.34/0.65 (step @p87 :rule trans :premises (@p86 @p71)) % 0.34/0.65 (step @p88 :rule symm :premises (@p40)) % 0.34/0.65 (step @p89 :rule refl :args (@t33)) % 0.34/0.65 (step @p90 :rule symm :premises (@p38)) % 0.34/0.65 (step @p91 :rule refl :args (tptp.b)) % 0.34/0.65 (step @p92 :rule cong :premises (@p25 @p91) :args (@t30)) % 0.34/0.65 (step @p93 :rule trans :premises (@p92 @p90)) % 0.34/0.65 (step @p94 :rule cong :premises (@p93) :args (@t31)) % 0.34/0.65 (step @p95 :rule trans :premises (@p17 @p94)) % 0.34/0.65 (step @p96 :rule cong :premises (@p95 @p74 @p73 @p89) :args (@t43)) % 0.34/0.65 (step @p97 :rule trans :premises (@p44 @p96 @p88)) % 0.34/0.65 (step @p98 :rule cong :premises (@p97 @p87) :args (@t41)) % 0.34/0.65 (step @p99 :rule trans :premises (@p98 @p70)) % 0.34/0.65 (step @p100 :rule false_elim :premises (@p99)) % 0.34/0.65 (step-pop @p129 :rule scope :premises (@p100)) % 0.34/0.65 (step-pop @p130 :rule scope :premises (@p129)) % 0.34/0.65 (step-pop @p131 :rule scope :premises (@p130)) % 0.34/0.65 (step-pop @p132 :rule scope :premises (@p131)) % 0.34/0.65 (step-pop @p133 :rule scope :premises (@p132)) % 0.34/0.65 (step-pop @p134 :rule scope :premises (@p133)) % 0.34/0.65 (step-pop @p135 :rule scope :premises (@p134)) % 0.34/0.65 (step-pop @p136 :rule scope :premises (@p135)) % 0.34/0.65 (step-pop @p137 :rule scope :premises (@p136)) % 0.34/0.65 (step-pop @p138 :rule scope :premises (@p137)) % 0.34/0.65 (step-pop @p139 :rule scope :premises (@p138)) % 0.34/0.65 (step @p101 :rule process_scope :premises (@p139) :args (@t42)) % 0.34/0.65 (step @p113 :rule implies_elim :premises (@p101)) % 0.34/0.65 (step @p114 :rule cnf_and_neg :args (@t68)) % 0.34/0.65 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t68)) % 0.34/0.65 (step @p116 :rule eq_resolve :premises (@p115 @p58)) % 0.34/0.65 (step @p117 false :rule chain_m_resolution :premises (@p116 @p45 @p44 @p40 @p39 @p38 @p37 @p33 @p29 @p25 @p21 @p16 @p17) :args (false (@list false false false false false false false false false false true false) (@list @t41 @t44 @t47 @t49 @t52 @t54 @t57 @t60 @t62 @t64 @t34 @t66))) % 0.34/0.65 ) % 0.34/0.66 % SZS output end Proof % 0.34/0.66 % cvc5 exiting %------------------------------------------------------------------------------