%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT003-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:09:21 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.69s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.18 % Problem : CAT003-2 : TPTP v9.2.1. Released v1.0.0. % 0.08/0.19 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.13/0.43 % Computer : n004.cluster.edu % 0.13/0.43 % Model : x86_64 x86_64 % 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.43 % Memory : 8042.1875MB % 0.13/0.43 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.43 % CPULimit : 300 % 0.13/0.43 % WCLimit : 300 % 0.13/0.43 % DateTime : Wed Jun 3 02:52:08 EDT 2026 % 0.13/0.44 % CPUTime : % 0.25/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.69 % SZS status Unsatisfiable % 0.28/0.69 % SZS output start Proof % 0.28/0.69 ( % 0.28/0.69 (declare-sort $$unsorted 0) % 0.28/0.69 (declare-const tptp.h $$unsorted) % 0.28/0.69 (declare-const tptp.a $$unsorted) % 0.28/0.69 (declare-const tptp.b $$unsorted) % 0.28/0.69 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.69 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.28/0.69 (declare-const tptp.g $$unsorted) % 0.28/0.69 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.28/0.69 (define @t1 () (@var "X" $$unsorted)) % 0.28/0.69 (define @t2 () (tptp.domain @t1)) % 0.28/0.69 (define @t3 () (@list @t1)) % 0.28/0.69 (define @t4 () (tptp.codomain @t1)) % 0.28/0.69 (define @t5 () (@var "Y" $$unsorted)) % 0.28/0.69 (define @t6 () (tptp.compose @t1 @t5)) % 0.28/0.69 (define @t7 () (not (= @t4 (tptp.domain @t5)))) % 0.28/0.69 (define @t8 () (@list @t1 @t5)) % 0.28/0.69 (define @t9 () (tptp.codomain @t5)) % 0.28/0.69 (define @t10 () (@var "Z" $$unsorted)) % 0.28/0.69 (define @t11 () (tptp.domain @t10)) % 0.28/0.69 (define @t12 () (@list @t1 @t5 @t10)) % 0.28/0.69 (define @t13 () (forall @t12 (or @t7 (not (= @t9 @t11)) (= (tptp.compose @t1 (tptp.compose @t5 @t10)) (tptp.compose @t6 @t10))))) % 0.28/0.69 (define @t14 () (= @t1 @t10)) % 0.28/0.69 (define @t15 () (tptp.compose tptp.a tptp.b)) % 0.28/0.69 (define @t16 () (tptp.compose @t15 @t10)) % 0.28/0.69 (define @t17 () (not (= @t16 @t5))) % 0.28/0.69 (define @t18 () (tptp.codomain @t15)) % 0.28/0.69 (define @t19 () (not (= @t18 @t11))) % 0.28/0.69 (define @t20 () (tptp.compose @t15 @t1)) % 0.28/0.69 (define @t21 () (not (= @t20 @t5))) % 0.28/0.69 (define @t22 () (not (= @t18 @t2))) % 0.28/0.69 (define @t23 () (or @t22 @t21 @t19 @t17 @t14)) % 0.28/0.69 (define @t24 () (forall @t12 @t23)) % 0.28/0.69 (define @t25 () (= (tptp.codomain tptp.a) (tptp.domain tptp.b))) % 0.28/0.69 (define @t26 () (tptp.domain tptp.h)) % 0.28/0.69 (define @t27 () (tptp.codomain tptp.b)) % 0.28/0.69 (define @t28 () (= @t27 @t26)) % 0.28/0.69 (define @t29 () (tptp.domain tptp.g)) % 0.28/0.69 (define @t30 () (= @t27 @t29)) % 0.28/0.69 (define @t31 () (tptp.compose tptp.b tptp.g)) % 0.28/0.69 (define @t32 () (tptp.compose tptp.b tptp.h)) % 0.28/0.69 (define @t33 () (= @t32 @t31)) % 0.28/0.69 (define @t34 () (tptp.compose tptp.a @t32)) % 0.28/0.69 (define @t35 () (tptp.compose @t15 tptp.h)) % 0.28/0.69 (define @t36 () (not @t28)) % 0.28/0.69 (define @t37 () (not @t25)) % 0.28/0.69 (define @t38 () (or @t37 @t36 (= @t34 @t35))) % 0.28/0.69 (define @t39 () (= @t35 @t34)) % 0.28/0.69 (define @t40 () (or @t37 @t36 @t39)) % 0.28/0.69 (define @t41 () (@list false)) % 0.28/0.69 (define @t42 () (@list @t13)) % 0.28/0.69 (define @t43 () (@list false false false)) % 0.28/0.69 (define @t44 () (not (= @t20 @t16))) % 0.28/0.69 (define @t45 () (not (= @t11 @t18))) % 0.28/0.69 (define @t46 () (not (= @t2 @t18))) % 0.28/0.69 (define @t47 () (or @t46 @t45 @t44 @t14)) % 0.28/0.69 (define @t48 () (not (= @t20 @t20))) % 0.28/0.69 (define @t49 () (or @t46 @t48 @t45 @t44 @t14)) % 0.28/0.69 (define @t50 () (@list @t1 @t10)) % 0.28/0.69 (define @t51 () (not (= @t5 @t16))) % 0.28/0.69 (define @t52 () (not (= @t5 @t20))) % 0.28/0.69 (define @t53 () (or @t52 @t46 @t52 @t45 @t51 @t14)) % 0.28/0.69 (define @t54 () (@list @t5)) % 0.28/0.69 (define @t55 () (or @t46 @t52 @t45 @t51 @t14)) % 0.28/0.69 (define @t56 () (forall @t54 @t55)) % 0.28/0.69 (define @t57 () (forall @t50 @t56)) % 0.28/0.69 (define @t58 () (forall (@list @t1 @t10 @t5) @t55)) % 0.28/0.69 (define @t59 () (= tptp.h tptp.g)) % 0.28/0.69 (define @t60 () (tptp.compose @t15 tptp.g)) % 0.28/0.69 (define @t61 () (= @t35 @t60)) % 0.28/0.69 (define @t62 () (not @t61)) % 0.28/0.69 (define @t63 () (not (= @t29 @t18))) % 0.28/0.69 (define @t64 () (not (= @t26 @t18))) % 0.28/0.69 (define @t65 () (or @t64 @t63 @t62 @t59)) % 0.28/0.69 (define @t66 () (forall @t50 @t47)) % 0.28/0.69 (define @t67 () (= @t18 @t29)) % 0.28/0.69 (define @t68 () (not @t67)) % 0.28/0.69 (define @t69 () (= @t18 @t26)) % 0.28/0.69 (define @t70 () (not @t69)) % 0.28/0.69 (define @t71 () (or @t70 @t68 @t62 @t59)) % 0.28/0.69 (define @t72 () (= @t18 @t27)) % 0.28/0.69 (define @t73 () (or @t37 @t72)) % 0.28/0.69 (define @t74 () (tptp.compose tptp.a @t31)) % 0.28/0.69 (define @t75 () (not @t30)) % 0.28/0.69 (define @t76 () (= @t74 @t60)) % 0.28/0.69 (define @t77 () (or @t37 @t75 @t76)) % 0.28/0.69 (define @t78 () (= @t60 @t74)) % 0.28/0.69 (define @t79 () (or @t37 @t75 @t78)) % 0.28/0.69 (define @t80 () (not @t78)) % 0.28/0.69 (define @t81 () (not @t39)) % 0.28/0.69 (define @t82 () (not @t33)) % 0.28/0.69 (define @t83 () (not @t76)) % 0.28/0.69 (define @t84 () (and @t78 @t80)) % 0.28/0.69 (assume @p1 (forall @t3 (= (tptp.codomain @t2) @t2))) % 0.28/0.69 (assume @p2 (forall @t3 (= (tptp.domain @t4) @t4))) % 0.28/0.69 (assume @p3 (forall @t3 (= (tptp.compose @t2 @t1) @t1))) % 0.28/0.69 (assume @p4 (forall @t3 (= (tptp.compose @t1 @t4) @t1))) % 0.28/0.69 (assume @p5 (forall @t8 (or @t7 (= (tptp.domain @t6) @t2)))) % 0.28/0.69 (assume @p6 (forall @t8 (or @t7 (= (tptp.codomain @t6) @t9)))) % 0.28/0.69 (assume @p7 @t13) % 0.28/0.69 (assume @p8 @t24) % 0.28/0.69 (assume @p9 @t25) % 0.28/0.69 (assume @p10 @t28) % 0.28/0.69 (assume @p11 @t30) % 0.28/0.69 (assume @p12 @t33) % 0.28/0.69 (assume @p13 (not (= tptp.g tptp.h))) % 0.28/0.69 (step @p14 :rule eq-symm :args (@t34 @t35)) % 0.28/0.69 (step @p15 :rule refl :args (@t36)) % 0.28/0.69 (step @p16 :rule refl :args (@t37)) % 0.28/0.69 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14) :args (@t38)) % 0.28/0.69 (step @p18 :rule refl :args (@t13)) % 0.28/0.69 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t13 @t38))) % 0.28/0.69 (assume-push @p152 @t13) % 0.28/0.69 (step @p21 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.h))) % 0.28/0.69 (step-pop @p153 :rule scope :premises (@p21)) % 0.28/0.69 (step @p22 :rule process_scope :premises (@p153) :args (@t38)) % 0.28/0.69 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.28/0.69 (step @p25 :rule implies_elim :premises (@p24)) % 0.28/0.69 (step @p26 :rule chain_m_resolution :premises (@p25 @p7) :args (@t40 @t41 @t42)) % 0.28/0.69 (step @p27 :rule cnf_or_pos :args (@t40)) % 0.28/0.69 (step @p28 :rule reordering :premises (@p27) :args ((or @t37 @t36 @t39 (not @t40)))) % 0.28/0.69 (step @p29 :rule chain_m_resolution :premises (@p28 @p9 @p10 @p26) :args (@t39 @t43 (@list @t25 @t28 @t40))) % 0.28/0.69 (step @p30 :rule aci_norm :args ((= (or @t46 false @t45 @t44 @t14) @t47))) % 0.28/0.69 (step @p31 :rule refl :args (@t14)) % 0.28/0.69 (step @p32 :rule refl :args (@t44)) % 0.28/0.69 (step @p33 :rule refl :args (@t45)) % 0.28/0.69 (step @p34 :rule evaluate :args ((not true))) % 0.28/0.69 (step @p35 :rule eq-refl :args (@t20)) % 0.28/0.69 (step @p36 :rule cong :premises (@p35) :args (@t48)) % 0.28/0.69 (step @p37 :rule trans :premises (@p36 @p34)) % 0.28/0.69 (step @p38 :rule refl :args (@t46)) % 0.28/0.69 (step @p39 :rule nary_cong :premises (@p38 @p37 @p33 @p32 @p31) :args (@t49)) % 0.28/0.69 (step @p40 :rule trans :premises (@p39 @p30)) % 0.28/0.69 (step @p41 :rule cong :premises (@p40) :args ((forall @t50 @t49))) % 0.28/0.69 (step @p42 :rule quant-var-elim-eq :args ((= (forall @t54 @t53) @t49))) % 0.28/0.69 (step @p43 :rule aci_norm :args ((= @t55 @t53))) % 0.28/0.69 (step @p44 :rule cong :premises (@p43) :args (@t56)) % 0.28/0.69 (step @p45 :rule trans :premises (@p44 @p42)) % 0.28/0.69 (step @p46 :rule cong :premises (@p45) :args (@t57)) % 0.28/0.69 (step @p47 :rule quant-merge-prenex :args ((= @t57 @t58))) % 0.28/0.69 (step @p48 :rule symm :premises (@p47)) % 0.28/0.69 (step @p49 :rule quant_var_reordering :args ((= (forall @t12 @t55) @t58))) % 0.28/0.69 (step @p50 :rule trans :premises (@p49 @p48 @p46)) % 0.28/0.69 (step @p51 :rule trans :premises (@p50 @p41)) % 0.28/0.69 (step @p52 :rule eq-symm :args (@t16 @t5)) % 0.28/0.69 (step @p53 :rule cong :premises (@p52) :args (@t17)) % 0.28/0.69 (step @p54 :rule eq-symm :args (@t18 @t11)) % 0.28/0.69 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 0.28/0.69 (step @p56 :rule eq-symm :args (@t20 @t5)) % 0.28/0.69 (step @p57 :rule cong :premises (@p56) :args (@t21)) % 0.28/0.69 (step @p58 :rule eq-symm :args (@t18 @t2)) % 0.28/0.69 (step @p59 :rule cong :premises (@p58) :args (@t22)) % 0.28/0.69 (step @p60 :rule nary_cong :premises (@p59 @p57 @p55 @p53 @p31) :args (@t23)) % 0.28/0.69 (step @p61 :rule cong :premises (@p60) :args (@t24)) % 0.28/0.69 (step @p62 :rule trans :premises (@p61 @p51)) % 0.28/0.69 (step @p63 :rule eq_resolve :premises (@p8 @p62)) % 0.28/0.69 (step @p64 :rule refl :args (@t59)) % 0.28/0.69 (step @p65 :rule refl :args (@t62)) % 0.28/0.69 (step @p66 :rule eq-symm :args (@t29 @t18)) % 0.28/0.69 (step @p67 :rule cong :premises (@p66) :args (@t63)) % 0.28/0.69 (step @p68 :rule eq-symm :args (@t26 @t18)) % 0.28/0.69 (step @p69 :rule cong :premises (@p68) :args (@t64)) % 0.28/0.69 (step @p70 :rule nary_cong :premises (@p69 @p67 @p65 @p64) :args (@t65)) % 0.28/0.69 (step @p71 :rule refl :args (@t66)) % 0.28/0.69 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t66 @t65))) % 0.28/0.69 (assume-push @p154 @t66) % 0.28/0.69 (step @p74 :rule instantiate :premises (@p63) :args ((@list tptp.h tptp.g))) % 0.28/0.69 (step-pop @p155 :rule scope :premises (@p74)) % 0.28/0.69 (step @p75 :rule process_scope :premises (@p155) :args (@t65)) % 0.28/0.69 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.28/0.69 (step @p78 :rule implies_elim :premises (@p77)) % 0.28/0.69 (step @p79 :rule chain_m_resolution :premises (@p78 @p63) :args (@t71 @t41 (@list @t66))) % 0.28/0.69 (step @p80 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b))) % 0.28/0.69 (step @p81 :rule cnf_or_pos :args (@t73)) % 0.28/0.69 (step @p82 :rule reordering :premises (@p81) :args ((or @t37 @t72 (not @t73)))) % 0.28/0.69 (step @p83 :rule chain_m_resolution :premises (@p82 @p9 @p80) :args (@t72 (@list false false) (@list @t25 @t73))) % 0.28/0.69 (step @p84 :rule trans :premises (@p83 @p11)) % 0.28/0.69 (step @p85 :rule trans :premises (@p83 @p10)) % 0.28/0.69 (step @p86 :rule symm :premises (@p13)) % 0.28/0.69 (step @p87 :rule cnf_or_pos :args (@t71)) % 0.28/0.69 (step @p88 :rule reordering :premises (@p87) :args ((or @t59 @t70 @t62 @t68 (not @t71)))) % 0.28/0.69 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85 @p84 @p79) :args (@t62 (@list true false false false) (@list @t59 @t69 @t67 @t71))) % 0.28/0.69 (step @p90 :rule eq-symm :args (@t74 @t60)) % 0.28/0.69 (step @p91 :rule refl :args (@t75)) % 0.28/0.69 (step @p92 :rule nary_cong :premises (@p16 @p91 @p90) :args (@t77)) % 0.28/0.69 (step @p93 :rule cong :premises (@p18 @p92) :args ((=> @t13 @t77))) % 0.28/0.69 (assume-push @p156 @t13) % 0.28/0.69 (step @p95 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.g))) % 0.28/0.69 (step-pop @p157 :rule scope :premises (@p95)) % 0.28/0.69 (step @p96 :rule process_scope :premises (@p157) :args (@t77)) % 0.28/0.69 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.28/0.69 (step @p99 :rule implies_elim :premises (@p98)) % 0.28/0.69 (step @p100 :rule chain_m_resolution :premises (@p99 @p7) :args (@t79 @t41 @t42)) % 0.28/0.69 (step @p101 :rule cnf_or_pos :args (@t79)) % 0.28/0.69 (step @p102 :rule reordering :premises (@p101) :args ((or @t37 @t75 @t78 (not @t79)))) % 0.28/0.69 (step @p103 :rule chain_m_resolution :premises (@p102 @p9 @p11 @p100) :args (@t78 @t43 (@list @t25 @t30 @t79))) % 0.28/0.69 (step @p104 :rule refl :args (@t80)) % 0.28/0.69 (step @p105 :rule bool-double-not-elim :args (@t61)) % 0.28/0.69 (step @p106 :rule refl :args (@t81)) % 0.28/0.69 (step @p107 :rule refl :args (@t82)) % 0.28/0.69 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104) :args ((or @t82 @t81 (not @t62) @t80))) % 0.28/0.69 (assume-push @p158 @t78) % 0.28/0.69 (assume-push @p159 @t80) % 0.28/0.69 (step @p111 :rule evaluate :args ((= false true))) % 0.28/0.69 (step @p112 :rule true_intro :premises (@p103)) % 0.28/0.69 (step @p113 :rule bool-eq-false :args (@t78)) % 0.28/0.69 (step @p114 :rule symm :premises (@p113)) % 0.28/0.69 (step @p115 :rule cong :premises (@p90) :args (@t83)) % 0.28/0.69 (step @p116 :rule bool-eq-false :args (@t76)) % 0.28/0.69 (step @p117 :rule trans :premises (@p116 @p115)) % 0.28/0.69 (step @p118 :rule trans :premises (@p117 @p114)) % 0.28/0.69 (step @p119 :rule false_intro :premises (@p89)) % 0.28/0.69 (step @p120 :rule refl :args (@t60)) % 0.28/0.69 (step @p121 :rule symm :premises (@p29)) % 0.28/0.69 (step @p122 :rule symm :premises (@p12)) % 0.28/0.69 (step @p123 :rule refl :args (tptp.a)) % 0.28/0.69 (step @p124 :rule cong :premises (@p123 @p122) :args (@t74)) % 0.28/0.69 (step @p125 :rule trans :premises (@p124 @p121)) % 0.28/0.69 (step @p126 :rule cong :premises (@p125 @p120) :args (@t76)) % 0.28/0.69 (step @p127 :rule trans :premises (@p126 @p119)) % 0.28/0.69 (step @p128 :rule eq_resolve :premises (@p127 @p118)) % 0.28/0.69 (step @p129 :rule symm :premises (@p128)) % 0.28/0.69 (step @p130 :rule trans :premises (@p129 @p112)) % 0.28/0.69 (step @p131 false :rule eq_resolve :premises (@p130 @p111)) % 0.28/0.69 (step-pop @p160 :rule scope :premises (@p131)) % 0.28/0.69 (step-pop @p161 :rule scope :premises (@p160)) % 0.28/0.69 (step @p132 :rule process_scope :premises (@p161) :args (false)) % 0.28/0.69 (assume-push @p162 @t33) % 0.28/0.69 (assume-push @p163 @t39) % 0.28/0.69 (assume-push @p164 @t62) % 0.28/0.69 (assume-push @p165 @t78) % 0.28/0.69 (step @p113 :rule bool-eq-false :args (@t78)) % 0.28/0.69 (step @p114 :rule symm :premises (@p113)) % 0.28/0.69 (step @p115 :rule cong :premises (@p90) :args (@t83)) % 0.28/0.69 (step @p116 :rule bool-eq-false :args (@t76)) % 0.28/0.69 (step @p117 :rule trans :premises (@p116 @p115)) % 0.28/0.69 (step @p118 :rule trans :premises (@p117 @p114)) % 0.28/0.69 (step @p119 :rule false_intro :premises (@p89)) % 0.28/0.69 (step @p120 :rule refl :args (@t60)) % 0.28/0.69 (step @p121 :rule symm :premises (@p29)) % 0.28/0.69 (step @p122 :rule symm :premises (@p12)) % 0.28/0.69 (step @p123 :rule refl :args (tptp.a)) % 0.28/0.69 (step @p124 :rule cong :premises (@p123 @p122) :args (@t74)) % 0.28/0.69 (step @p125 :rule trans :premises (@p124 @p121)) % 0.28/0.69 (step @p126 :rule cong :premises (@p125 @p120) :args (@t76)) % 0.28/0.69 (step @p127 :rule trans :premises (@p126 @p119)) % 0.28/0.69 (step @p139 :rule eq_resolve :premises (@p127 @p118)) % 0.28/0.69 (step @p140 :rule false_elim :premises (@p139)) % 0.28/0.69 (step @p141 :rule and_intro :premises (@p103 @p140)) % 0.28/0.69 (step-pop @p166 :rule scope :premises (@p141)) % 0.28/0.69 (step-pop @p167 :rule scope :premises (@p166)) % 0.28/0.69 (step-pop @p168 :rule scope :premises (@p167)) % 0.28/0.69 (step-pop @p169 :rule scope :premises (@p168)) % 0.28/0.69 (step @p142 :rule process_scope :premises (@p169) :args (@t84)) % 0.28/0.69 (step @p147 :rule implies_elim :premises (@p142)) % 0.28/0.69 (step @p148 :rule resolution :premises (@p147 @p132) :args (true @t84)) % 0.28/0.69 (step @p149 :rule not_and :premises (@p148)) % 0.28/0.69 (step @p150 :rule eq_resolve :premises (@p149 @p108)) % 0.28/0.69 (step @p151 false :rule chain_m_resolution :premises (@p150 @p103 @p89 @p29 @p12) :args (false (@list false true false false) (@list @t78 @t61 @t39 @t33))) % 0.28/0.69 ) % 0.28/0.70 % SZS output end Proof % 0.28/0.70 % cvc5 exiting %------------------------------------------------------------------------------