%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT002-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 0.34s 0.61s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : CAT002-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.37 % Computer : n021.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.38 % DateTime : Wed Jun 3 02:53:50 EDT 2026 % 0.16/0.38 % CPUTime : % 0.22/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.61 % SZS status Unsatisfiable % 0.34/0.61 % SZS output start Proof % 0.34/0.62 ( % 0.34/0.62 (declare-sort $$unsorted 0) % 0.34/0.62 (declare-const tptp.g $$unsorted) % 0.34/0.62 (declare-const tptp.h $$unsorted) % 0.34/0.62 (declare-const tptp.b $$unsorted) % 0.34/0.62 (declare-const tptp.a $$unsorted) % 0.34/0.62 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.34/0.62 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.62 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.34/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.34/0.62 (define @t2 () (tptp.there_exists @t1)) % 0.34/0.62 (define @t3 () (@var "Y" $$unsorted)) % 0.34/0.62 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.34/0.62 (define @t5 () (not @t4)) % 0.34/0.62 (define @t6 () (@list @t1 @t3)) % 0.34/0.62 (define @t7 () (= @t1 @t3)) % 0.34/0.62 (define @t8 () (not @t7)) % 0.34/0.62 (define @t9 () (not @t2)) % 0.34/0.62 (define @t10 () (tptp.domain @t1)) % 0.34/0.62 (define @t11 () (tptp.there_exists @t10)) % 0.34/0.62 (define @t12 () (not @t11)) % 0.34/0.62 (define @t13 () (@list @t1)) % 0.34/0.62 (define @t14 () (tptp.codomain @t1)) % 0.34/0.62 (define @t15 () (tptp.there_exists @t14)) % 0.34/0.62 (define @t16 () (tptp.compose @t1 @t3)) % 0.34/0.62 (define @t17 () (tptp.there_exists @t16)) % 0.34/0.62 (define @t18 () (not @t17)) % 0.34/0.62 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.34/0.62 (define @t20 () (@var "Z" $$unsorted)) % 0.34/0.62 (define @t21 () (@list @t1 @t3 @t20)) % 0.34/0.62 (define @t22 () (forall @t21 (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.34/0.62 (define @t23 () (tptp.there_exists @t3)) % 0.34/0.62 (define @t24 () (tptp.f1 @t1 @t3)) % 0.34/0.62 (define @t25 () (= @t3 @t24)) % 0.34/0.62 (define @t26 () (= @t1 @t24)) % 0.34/0.62 (define @t27 () (tptp.compose tptp.a tptp.b)) % 0.34/0.62 (define @t28 () (= @t1 @t20)) % 0.34/0.62 (define @t29 () (tptp.compose tptp.a @t20)) % 0.34/0.62 (define @t30 () (not (= @t29 @t3))) % 0.34/0.62 (define @t31 () (tptp.compose tptp.a @t1)) % 0.34/0.62 (define @t32 () (not (= @t31 @t3))) % 0.34/0.62 (define @t33 () (or @t32 @t30 @t28)) % 0.34/0.62 (define @t34 () (forall @t21 @t33)) % 0.34/0.62 (define @t35 () (tptp.compose tptp.b @t20)) % 0.34/0.62 (define @t36 () (not (= @t35 @t3))) % 0.34/0.62 (define @t37 () (tptp.compose tptp.b @t1)) % 0.34/0.62 (define @t38 () (not (= @t37 @t3))) % 0.34/0.62 (define @t39 () (or @t38 @t36 @t28)) % 0.34/0.62 (define @t40 () (forall @t21 @t39)) % 0.34/0.62 (define @t41 () (tptp.compose @t27 tptp.g)) % 0.34/0.62 (define @t42 () (tptp.compose @t27 tptp.h)) % 0.34/0.62 (define @t43 () (= tptp.g tptp.h)) % 0.34/0.62 (define @t44 () (not (= @t31 @t29))) % 0.34/0.62 (define @t45 () (not (= @t31 @t31))) % 0.34/0.62 (define @t46 () (or @t45 @t44 @t28)) % 0.34/0.62 (define @t47 () (@list @t1 @t20)) % 0.34/0.62 (define @t48 () (not (= @t3 @t29))) % 0.34/0.62 (define @t49 () (not (= @t3 @t31))) % 0.34/0.62 (define @t50 () (or @t49 @t49 @t48 @t28)) % 0.34/0.62 (define @t51 () (@list @t3)) % 0.34/0.62 (define @t52 () (or @t49 @t48 @t28)) % 0.34/0.62 (define @t53 () (forall @t51 @t52)) % 0.34/0.62 (define @t54 () (forall @t47 @t53)) % 0.34/0.62 (define @t55 () (@list @t1 @t20 @t3)) % 0.34/0.62 (define @t56 () (forall @t55 @t52)) % 0.34/0.62 (define @t57 () (tptp.compose tptp.b tptp.h)) % 0.34/0.62 (define @t58 () (tptp.compose tptp.b tptp.g)) % 0.34/0.62 (define @t59 () (not (= @t37 @t35))) % 0.34/0.62 (define @t60 () (or @t59 @t28)) % 0.34/0.62 (define @t61 () (not (= @t37 @t37))) % 0.34/0.62 (define @t62 () (or @t61 @t59 @t28)) % 0.34/0.62 (define @t63 () (not (= @t3 @t35))) % 0.34/0.62 (define @t64 () (not (= @t3 @t37))) % 0.34/0.62 (define @t65 () (or @t64 @t64 @t63 @t28)) % 0.34/0.62 (define @t66 () (or @t64 @t63 @t28)) % 0.34/0.62 (define @t67 () (forall @t51 @t66)) % 0.34/0.62 (define @t68 () (forall @t47 @t67)) % 0.34/0.62 (define @t69 () (forall @t55 @t66)) % 0.34/0.62 (define @t70 () (= @t58 @t57)) % 0.34/0.62 (define @t71 () (not @t70)) % 0.34/0.62 (define @t72 () (or @t71 @t43)) % 0.34/0.62 (define @t73 () (forall @t47 @t60)) % 0.34/0.62 (define @t74 () (= tptp.h tptp.g)) % 0.34/0.62 (define @t75 () (or @t71 @t74)) % 0.34/0.62 (define @t76 () (@list false)) % 0.34/0.62 (define @t77 () (@list true false)) % 0.34/0.62 (define @t78 () (tptp.compose tptp.a @t57)) % 0.34/0.62 (define @t79 () (tptp.compose tptp.a @t58)) % 0.34/0.62 (define @t80 () (not (= @t79 @t78))) % 0.34/0.62 (define @t81 () (or @t80 @t70)) % 0.34/0.62 (define @t82 () (= @t78 @t42)) % 0.34/0.62 (define @t83 () (@list @t22)) % 0.34/0.62 (define @t84 () (= @t79 @t41)) % 0.34/0.62 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.34/0.62 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.34/0.62 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.34/0.62 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.34/0.62 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.34/0.62 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.34/0.62 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.34/0.62 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.34/0.62 (assume @p9 @t22) % 0.34/0.62 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.34/0.62 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.34/0.62 (assume @p12 (forall @t6 (or @t5 @t23))) % 0.34/0.62 (assume @p13 (forall @t6 (or @t9 (not @t23) @t8 @t4))) % 0.34/0.62 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.34/0.62 (assume @p15 (forall @t6 (or (tptp.there_exists @t24) @t7))) % 0.34/0.62 (assume @p16 (forall @t6 (or @t26 @t25 @t7))) % 0.34/0.62 (assume @p17 (forall @t6 (or (not @t26) (not @t25) @t7))) % 0.34/0.62 (assume @p18 (tptp.there_exists @t27)) % 0.34/0.62 (assume @p19 @t34) % 0.34/0.62 (assume @p20 @t40) % 0.34/0.62 (assume @p21 (tptp.there_exists tptp.h)) % 0.34/0.62 (assume @p22 (= @t42 @t41)) % 0.34/0.62 (assume @p23 (not @t43)) % 0.34/0.62 (step @p24 :rule evaluate :args ((= true false))) % 0.34/0.62 (step @p25 :rule aci_norm :args ((= (or false @t44 @t28) (or @t44 @t28)))) % 0.34/0.62 (step @p26 :rule refl :args (@t28)) % 0.34/0.62 (step @p27 :rule refl :args (@t44)) % 0.34/0.62 (step @p28 :rule evaluate :args ((not true))) % 0.34/0.62 (step @p29 :rule eq-refl :args (@t31)) % 0.34/0.62 (step @p30 :rule cong :premises (@p29) :args (@t45)) % 0.34/0.62 (step @p31 :rule trans :premises (@p30 @p28)) % 0.34/0.62 (step @p32 :rule nary_cong :premises (@p31 @p27 @p26) :args (@t46)) % 0.34/0.62 (step @p33 :rule trans :premises (@p32 @p25)) % 0.34/0.62 (step @p34 :rule cong :premises (@p33) :args ((forall @t47 @t46))) % 0.34/0.62 (step @p35 :rule quant-var-elim-eq :args ((= (forall @t51 @t50) @t46))) % 0.34/0.62 (step @p36 :rule aci_norm :args ((= @t52 @t50))) % 0.34/0.62 (step @p37 :rule cong :premises (@p36) :args (@t53)) % 0.34/0.62 (step @p38 :rule trans :premises (@p37 @p35)) % 0.34/0.62 (step @p39 :rule cong :premises (@p38) :args (@t54)) % 0.34/0.62 (step @p40 :rule quant-merge-prenex :args ((= @t54 @t56))) % 0.34/0.62 (step @p41 :rule symm :premises (@p40)) % 0.34/0.62 (step @p42 :rule quant_var_reordering :args ((= (forall @t21 @t52) @t56))) % 0.34/0.62 (step @p43 :rule trans :premises (@p42 @p41 @p39)) % 0.34/0.62 (step @p44 :rule trans :premises (@p43 @p34)) % 0.34/0.62 (step @p45 :rule eq-symm :args (@t29 @t3)) % 0.34/0.62 (step @p46 :rule cong :premises (@p45) :args (@t30)) % 0.34/0.62 (step @p47 :rule eq-symm :args (@t31 @t3)) % 0.34/0.62 (step @p48 :rule cong :premises (@p47) :args (@t32)) % 0.34/0.62 (step @p49 :rule nary_cong :premises (@p48 @p46 @p26) :args (@t33)) % 0.34/0.62 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.34/0.62 (step @p51 :rule trans :premises (@p50 @p44)) % 0.34/0.62 (step @p52 :rule eq_resolve :premises (@p19 @p51)) % 0.34/0.62 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t58 @t57))) % 0.34/0.62 (step @p54 :rule aci_norm :args ((= (or false @t59 @t28) @t60))) % 0.34/0.62 (step @p55 :rule refl :args (@t59)) % 0.34/0.62 (step @p56 :rule eq-refl :args (@t37)) % 0.34/0.62 (step @p57 :rule cong :premises (@p56) :args (@t61)) % 0.34/0.62 (step @p58 :rule trans :premises (@p57 @p28)) % 0.34/0.62 (step @p59 :rule nary_cong :premises (@p58 @p55 @p26) :args (@t62)) % 0.34/0.62 (step @p60 :rule trans :premises (@p59 @p54)) % 0.34/0.62 (step @p61 :rule cong :premises (@p60) :args ((forall @t47 @t62))) % 0.34/0.62 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t51 @t65) @t62))) % 0.34/0.62 (step @p63 :rule aci_norm :args ((= @t66 @t65))) % 0.34/0.62 (step @p64 :rule cong :premises (@p63) :args (@t67)) % 0.34/0.62 (step @p65 :rule trans :premises (@p64 @p62)) % 0.34/0.62 (step @p66 :rule cong :premises (@p65) :args (@t68)) % 0.34/0.62 (step @p67 :rule quant-merge-prenex :args ((= @t68 @t69))) % 0.34/0.62 (step @p68 :rule symm :premises (@p67)) % 0.34/0.62 (step @p69 :rule quant_var_reordering :args ((= (forall @t21 @t66) @t69))) % 0.34/0.62 (step @p70 :rule trans :premises (@p69 @p68 @p66)) % 0.34/0.62 (step @p71 :rule trans :premises (@p70 @p61)) % 0.34/0.62 (step @p72 :rule eq-symm :args (@t35 @t3)) % 0.34/0.62 (step @p73 :rule cong :premises (@p72) :args (@t36)) % 0.34/0.62 (step @p74 :rule eq-symm :args (@t37 @t3)) % 0.34/0.62 (step @p75 :rule cong :premises (@p74) :args (@t38)) % 0.34/0.62 (step @p76 :rule nary_cong :premises (@p75 @p73 @p26) :args (@t39)) % 0.34/0.62 (step @p77 :rule cong :premises (@p76) :args (@t40)) % 0.34/0.62 (step @p78 :rule trans :premises (@p77 @p71)) % 0.34/0.62 (step @p79 :rule eq_resolve :premises (@p20 @p78)) % 0.34/0.62 (step @p80 :rule eq-symm :args (tptp.g tptp.h)) % 0.34/0.62 (step @p81 :rule refl :args (@t71)) % 0.34/0.62 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t72)) % 0.34/0.62 (step @p83 :rule refl :args (@t73)) % 0.34/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t73 @t72))) % 0.34/0.62 (assume-push @p128 @t73) % 0.34/0.62 (step @p86 :rule instantiate :premises (@p79) :args ((@list tptp.g tptp.h))) % 0.34/0.62 (step-pop @p129 :rule scope :premises (@p86)) % 0.34/0.62 (step @p87 :rule process_scope :premises (@p129) :args (@t72)) % 0.34/0.62 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.34/0.62 (step @p90 :rule implies_elim :premises (@p89)) % 0.34/0.62 (step @p91 :rule chain_m_resolution :premises (@p90 @p79) :args (@t75 @t76 (@list @t73))) % 0.34/0.62 (step @p92 :rule symm :premises (@p23)) % 0.34/0.62 (step @p93 :rule cnf_or_pos :args (@t75)) % 0.34/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t74 @t71 (not @t75)))) % 0.34/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91) :args (@t71 @t77 (@list @t74 @t75))) % 0.34/0.62 (step @p96 :rule cnf_or_pos :args (@t81)) % 0.34/0.62 (step @p97 :rule reordering :premises (@p96) :args ((or @t70 @t80 (not @t81)))) % 0.34/0.62 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p53) :args (@t80 @t77 (@list @t70 @t81))) % 0.34/0.62 (step @p99 :rule false_intro :premises (@p98)) % 0.34/0.62 (step @p100 :rule eq-symm :args (@t78 @t42)) % 0.34/0.62 (step @p101 :rule refl :args (@t22)) % 0.34/0.62 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t22 @t82))) % 0.34/0.62 (assume-push @p130 @t22) % 0.34/0.62 (step @p104 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.h))) % 0.34/0.62 (step-pop @p131 :rule scope :premises (@p104)) % 0.34/0.62 (step @p105 :rule process_scope :premises (@p131) :args (@t82)) % 0.34/0.62 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.34/0.62 (step @p108 :rule implies_elim :premises (@p107)) % 0.34/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p9) :args ((= @t42 @t78) @t76 @t83)) % 0.34/0.62 (step @p110 :rule symm :premises (@p22)) % 0.34/0.62 (step @p111 :rule trans :premises (@p110 @p109)) % 0.34/0.62 (step @p112 :rule eq-symm :args (@t79 @t41)) % 0.34/0.62 (step @p113 :rule cong :premises (@p101 @p112) :args ((=> @t22 @t84))) % 0.34/0.62 (assume-push @p132 @t22) % 0.34/0.62 (step @p115 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.g))) % 0.34/0.62 (step-pop @p133 :rule scope :premises (@p115)) % 0.34/0.62 (step @p116 :rule process_scope :premises (@p133) :args (@t84)) % 0.34/0.62 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.34/0.62 (step @p119 :rule implies_elim :premises (@p118)) % 0.34/0.62 (step @p120 :rule chain_m_resolution :premises (@p119 @p9) :args ((= @t41 @t79) @t76 @t83)) % 0.34/0.62 (step @p121 :rule trans :premises (@p22 @p120)) % 0.34/0.62 (step @p122 :rule symm :premises (@p121)) % 0.34/0.62 (step @p123 :rule trans :premises (@p122 @p22 @p111)) % 0.34/0.62 (step @p124 :rule true_intro :premises (@p123)) % 0.34/0.62 (step @p125 :rule symm :premises (@p124)) % 0.34/0.62 (step @p126 :rule trans :premises (@p125 @p99)) % 0.34/0.62 (step @p127 false :rule eq_resolve :premises (@p126 @p24)) % 0.34/0.62 ) % 0.34/0.62 % SZS output end Proof % 0.34/0.62 % cvc5 exiting %------------------------------------------------------------------------------