%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT002-4 : 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 : n005.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 0.40s 0.65s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.15 % Problem : CAT002-4 : TPTP v9.2.1. Released v1.0.0. % 0.09/0.17 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.39 % Computer : n005.cluster.edu % 0.19/0.39 % Model : x86_64 x86_64 % 0.19/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.39 % Memory : 8042.1875MB % 0.19/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.39 % CPULimit : 300 % 0.19/0.39 % WCLimit : 300 % 0.19/0.39 % DateTime : Wed Jun 3 02:52:35 EDT 2026 % 0.19/0.40 % CPUTime : % 0.36/0.59 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.65 % SZS status Unsatisfiable % 0.40/0.65 % SZS output start Proof % 0.40/0.66 ( % 0.40/0.66 (declare-sort $$unsorted 0) % 0.40/0.66 (declare-const tptp.g $$unsorted) % 0.40/0.66 (declare-const tptp.h $$unsorted) % 0.40/0.66 (declare-const tptp.b $$unsorted) % 0.40/0.66 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.40/0.66 (declare-const tptp.a $$unsorted) % 0.40/0.66 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.66 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.40/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.66 (define @t2 () (tptp.there_exists @t1)) % 0.40/0.66 (define @t3 () (@var "Y" $$unsorted)) % 0.40/0.66 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.40/0.66 (define @t5 () (not @t4)) % 0.40/0.66 (define @t6 () (@list @t1 @t3)) % 0.40/0.66 (define @t7 () (= @t1 @t3)) % 0.40/0.66 (define @t8 () (tptp.domain @t1)) % 0.40/0.66 (define @t9 () (tptp.there_exists @t8)) % 0.40/0.66 (define @t10 () (not @t9)) % 0.40/0.66 (define @t11 () (@list @t1)) % 0.40/0.66 (define @t12 () (tptp.codomain @t1)) % 0.40/0.66 (define @t13 () (tptp.compose @t1 @t3)) % 0.40/0.66 (define @t14 () (tptp.there_exists @t13)) % 0.40/0.66 (define @t15 () (not @t14)) % 0.40/0.66 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.40/0.66 (define @t17 () (@var "Z" $$unsorted)) % 0.40/0.66 (define @t18 () (@list @t1 @t3 @t17)) % 0.40/0.66 (define @t19 () (forall @t18 (= (tptp.compose @t1 (tptp.compose @t3 @t17)) (tptp.compose @t13 @t17)))) % 0.40/0.66 (define @t20 () (tptp.compose tptp.a tptp.b)) % 0.40/0.66 (define @t21 () (= @t1 @t17)) % 0.40/0.66 (define @t22 () (tptp.compose tptp.a @t17)) % 0.40/0.66 (define @t23 () (not (= @t22 @t3))) % 0.40/0.66 (define @t24 () (tptp.compose tptp.a @t1)) % 0.40/0.66 (define @t25 () (not (= @t24 @t3))) % 0.40/0.66 (define @t26 () (or @t25 @t23 @t21)) % 0.40/0.66 (define @t27 () (forall @t18 @t26)) % 0.40/0.66 (define @t28 () (tptp.compose tptp.b @t17)) % 0.40/0.66 (define @t29 () (not (= @t28 @t3))) % 0.40/0.66 (define @t30 () (tptp.compose tptp.b @t1)) % 0.40/0.66 (define @t31 () (not (= @t30 @t3))) % 0.40/0.66 (define @t32 () (or @t31 @t29 @t21)) % 0.40/0.66 (define @t33 () (forall @t18 @t32)) % 0.40/0.66 (define @t34 () (tptp.compose @t20 tptp.g)) % 0.40/0.66 (define @t35 () (tptp.compose @t20 tptp.h)) % 0.40/0.66 (define @t36 () (= tptp.g tptp.h)) % 0.40/0.66 (define @t37 () (not (= @t24 @t22))) % 0.40/0.66 (define @t38 () (not (= @t24 @t24))) % 0.40/0.66 (define @t39 () (or @t38 @t37 @t21)) % 0.40/0.66 (define @t40 () (@list @t1 @t17)) % 0.40/0.66 (define @t41 () (not (= @t3 @t22))) % 0.40/0.66 (define @t42 () (not (= @t3 @t24))) % 0.40/0.66 (define @t43 () (or @t42 @t42 @t41 @t21)) % 0.40/0.66 (define @t44 () (@list @t3)) % 0.40/0.66 (define @t45 () (or @t42 @t41 @t21)) % 0.40/0.66 (define @t46 () (forall @t44 @t45)) % 0.40/0.66 (define @t47 () (forall @t40 @t46)) % 0.40/0.66 (define @t48 () (@list @t1 @t17 @t3)) % 0.40/0.66 (define @t49 () (forall @t48 @t45)) % 0.40/0.66 (define @t50 () (tptp.compose tptp.b tptp.h)) % 0.40/0.66 (define @t51 () (tptp.compose tptp.b tptp.g)) % 0.40/0.66 (define @t52 () (not (= @t30 @t28))) % 0.40/0.66 (define @t53 () (or @t52 @t21)) % 0.40/0.66 (define @t54 () (not (= @t30 @t30))) % 0.40/0.66 (define @t55 () (or @t54 @t52 @t21)) % 0.40/0.66 (define @t56 () (not (= @t3 @t28))) % 0.40/0.66 (define @t57 () (not (= @t3 @t30))) % 0.40/0.66 (define @t58 () (or @t57 @t57 @t56 @t21)) % 0.40/0.66 (define @t59 () (or @t57 @t56 @t21)) % 0.40/0.66 (define @t60 () (forall @t44 @t59)) % 0.40/0.66 (define @t61 () (forall @t40 @t60)) % 0.40/0.66 (define @t62 () (forall @t48 @t59)) % 0.40/0.66 (define @t63 () (= @t51 @t50)) % 0.40/0.66 (define @t64 () (not @t63)) % 0.40/0.66 (define @t65 () (or @t64 @t36)) % 0.40/0.66 (define @t66 () (forall @t40 @t53)) % 0.40/0.66 (define @t67 () (= tptp.h tptp.g)) % 0.40/0.66 (define @t68 () (or @t64 @t67)) % 0.40/0.66 (define @t69 () (@list false)) % 0.40/0.66 (define @t70 () (@list true false)) % 0.40/0.66 (define @t71 () (tptp.compose tptp.a @t50)) % 0.40/0.66 (define @t72 () (tptp.compose tptp.a @t51)) % 0.40/0.66 (define @t73 () (not (= @t72 @t71))) % 0.40/0.66 (define @t74 () (or @t73 @t63)) % 0.40/0.66 (define @t75 () (= @t71 @t35)) % 0.40/0.66 (define @t76 () (@list @t19)) % 0.40/0.66 (define @t77 () (= @t72 @t34)) % 0.40/0.66 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.40/0.66 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.40/0.66 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.40/0.66 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.40/0.66 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.40/0.66 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.40/0.66 (assume @p7 (forall @t6 (or @t15 @t16))) % 0.40/0.66 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.40/0.66 (assume @p9 @t19) % 0.40/0.66 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.40/0.66 (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1))) % 0.40/0.66 (assume @p12 (tptp.there_exists @t20)) % 0.40/0.66 (assume @p13 @t27) % 0.40/0.66 (assume @p14 @t33) % 0.40/0.66 (assume @p15 (tptp.there_exists tptp.h)) % 0.40/0.66 (assume @p16 (= @t35 @t34)) % 0.40/0.66 (assume @p17 (not @t36)) % 0.40/0.66 (step @p18 :rule evaluate :args ((= true false))) % 0.40/0.66 (step @p19 :rule aci_norm :args ((= (or false @t37 @t21) (or @t37 @t21)))) % 0.40/0.66 (step @p20 :rule refl :args (@t21)) % 0.40/0.66 (step @p21 :rule refl :args (@t37)) % 0.40/0.66 (step @p22 :rule evaluate :args ((not true))) % 0.40/0.66 (step @p23 :rule eq-refl :args (@t24)) % 0.40/0.66 (step @p24 :rule cong :premises (@p23) :args (@t38)) % 0.40/0.66 (step @p25 :rule trans :premises (@p24 @p22)) % 0.40/0.66 (step @p26 :rule nary_cong :premises (@p25 @p21 @p20) :args (@t39)) % 0.40/0.66 (step @p27 :rule trans :premises (@p26 @p19)) % 0.40/0.66 (step @p28 :rule cong :premises (@p27) :args ((forall @t40 @t39))) % 0.40/0.66 (step @p29 :rule quant-var-elim-eq :args ((= (forall @t44 @t43) @t39))) % 0.40/0.66 (step @p30 :rule aci_norm :args ((= @t45 @t43))) % 0.40/0.66 (step @p31 :rule cong :premises (@p30) :args (@t46)) % 0.40/0.66 (step @p32 :rule trans :premises (@p31 @p29)) % 0.40/0.66 (step @p33 :rule cong :premises (@p32) :args (@t47)) % 0.40/0.66 (step @p34 :rule quant-merge-prenex :args ((= @t47 @t49))) % 0.40/0.66 (step @p35 :rule symm :premises (@p34)) % 0.40/0.66 (step @p36 :rule quant_var_reordering :args ((= (forall @t18 @t45) @t49))) % 0.40/0.66 (step @p37 :rule trans :premises (@p36 @p35 @p33)) % 0.40/0.66 (step @p38 :rule trans :premises (@p37 @p28)) % 0.40/0.66 (step @p39 :rule eq-symm :args (@t22 @t3)) % 0.40/0.66 (step @p40 :rule cong :premises (@p39) :args (@t23)) % 0.40/0.66 (step @p41 :rule eq-symm :args (@t24 @t3)) % 0.40/0.66 (step @p42 :rule cong :premises (@p41) :args (@t25)) % 0.40/0.66 (step @p43 :rule nary_cong :premises (@p42 @p40 @p20) :args (@t26)) % 0.40/0.66 (step @p44 :rule cong :premises (@p43) :args (@t27)) % 0.40/0.66 (step @p45 :rule trans :premises (@p44 @p38)) % 0.40/0.66 (step @p46 :rule eq_resolve :premises (@p13 @p45)) % 0.40/0.66 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t51 @t50))) % 0.40/0.66 (step @p48 :rule aci_norm :args ((= (or false @t52 @t21) @t53))) % 0.40/0.66 (step @p49 :rule refl :args (@t52)) % 0.40/0.66 (step @p50 :rule eq-refl :args (@t30)) % 0.40/0.66 (step @p51 :rule cong :premises (@p50) :args (@t54)) % 0.40/0.66 (step @p52 :rule trans :premises (@p51 @p22)) % 0.40/0.66 (step @p53 :rule nary_cong :premises (@p52 @p49 @p20) :args (@t55)) % 0.40/0.66 (step @p54 :rule trans :premises (@p53 @p48)) % 0.40/0.66 (step @p55 :rule cong :premises (@p54) :args ((forall @t40 @t55))) % 0.40/0.66 (step @p56 :rule quant-var-elim-eq :args ((= (forall @t44 @t58) @t55))) % 0.40/0.66 (step @p57 :rule aci_norm :args ((= @t59 @t58))) % 0.40/0.66 (step @p58 :rule cong :premises (@p57) :args (@t60)) % 0.40/0.66 (step @p59 :rule trans :premises (@p58 @p56)) % 0.40/0.66 (step @p60 :rule cong :premises (@p59) :args (@t61)) % 0.40/0.66 (step @p61 :rule quant-merge-prenex :args ((= @t61 @t62))) % 0.40/0.66 (step @p62 :rule symm :premises (@p61)) % 0.40/0.66 (step @p63 :rule quant_var_reordering :args ((= (forall @t18 @t59) @t62))) % 0.40/0.66 (step @p64 :rule trans :premises (@p63 @p62 @p60)) % 0.40/0.66 (step @p65 :rule trans :premises (@p64 @p55)) % 0.40/0.66 (step @p66 :rule eq-symm :args (@t28 @t3)) % 0.40/0.66 (step @p67 :rule cong :premises (@p66) :args (@t29)) % 0.40/0.66 (step @p68 :rule eq-symm :args (@t30 @t3)) % 0.40/0.66 (step @p69 :rule cong :premises (@p68) :args (@t31)) % 0.40/0.66 (step @p70 :rule nary_cong :premises (@p69 @p67 @p20) :args (@t32)) % 0.40/0.66 (step @p71 :rule cong :premises (@p70) :args (@t33)) % 0.40/0.66 (step @p72 :rule trans :premises (@p71 @p65)) % 0.40/0.66 (step @p73 :rule eq_resolve :premises (@p14 @p72)) % 0.40/0.66 (step @p74 :rule eq-symm :args (tptp.g tptp.h)) % 0.40/0.66 (step @p75 :rule refl :args (@t64)) % 0.40/0.66 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t65)) % 0.40/0.66 (step @p77 :rule refl :args (@t66)) % 0.40/0.66 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t66 @t65))) % 0.40/0.66 (assume-push @p122 @t66) % 0.40/0.66 (step @p80 :rule instantiate :premises (@p73) :args ((@list tptp.g tptp.h))) % 0.40/0.66 (step-pop @p123 :rule scope :premises (@p80)) % 0.40/0.66 (step @p81 :rule process_scope :premises (@p123) :args (@t65)) % 0.40/0.66 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.40/0.66 (step @p84 :rule implies_elim :premises (@p83)) % 0.40/0.66 (step @p85 :rule chain_m_resolution :premises (@p84 @p73) :args (@t68 @t69 (@list @t66))) % 0.40/0.66 (step @p86 :rule symm :premises (@p17)) % 0.40/0.66 (step @p87 :rule cnf_or_pos :args (@t68)) % 0.40/0.66 (step @p88 :rule reordering :premises (@p87) :args ((or @t67 @t64 (not @t68)))) % 0.40/0.66 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t64 @t70 (@list @t67 @t68))) % 0.40/0.66 (step @p90 :rule cnf_or_pos :args (@t74)) % 0.40/0.66 (step @p91 :rule reordering :premises (@p90) :args ((or @t63 @t73 (not @t74)))) % 0.40/0.66 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p47) :args (@t73 @t70 (@list @t63 @t74))) % 0.40/0.66 (step @p93 :rule false_intro :premises (@p92)) % 0.40/0.66 (step @p94 :rule eq-symm :args (@t71 @t35)) % 0.40/0.66 (step @p95 :rule refl :args (@t19)) % 0.40/0.66 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t19 @t75))) % 0.40/0.66 (assume-push @p124 @t19) % 0.40/0.66 (step @p98 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.h))) % 0.40/0.66 (step-pop @p125 :rule scope :premises (@p98)) % 0.40/0.66 (step @p99 :rule process_scope :premises (@p125) :args (@t75)) % 0.40/0.66 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.40/0.66 (step @p102 :rule implies_elim :premises (@p101)) % 0.40/0.66 (step @p103 :rule chain_m_resolution :premises (@p102 @p9) :args ((= @t35 @t71) @t69 @t76)) % 0.40/0.66 (step @p104 :rule symm :premises (@p16)) % 0.40/0.66 (step @p105 :rule trans :premises (@p104 @p103)) % 0.40/0.66 (step @p106 :rule eq-symm :args (@t72 @t34)) % 0.40/0.66 (step @p107 :rule cong :premises (@p95 @p106) :args ((=> @t19 @t77))) % 0.40/0.66 (assume-push @p126 @t19) % 0.40/0.66 (step @p109 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.g))) % 0.40/0.66 (step-pop @p127 :rule scope :premises (@p109)) % 0.40/0.66 (step @p110 :rule process_scope :premises (@p127) :args (@t77)) % 0.40/0.66 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.40/0.66 (step @p113 :rule implies_elim :premises (@p112)) % 0.40/0.66 (step @p114 :rule chain_m_resolution :premises (@p113 @p9) :args ((= @t34 @t72) @t69 @t76)) % 0.40/0.66 (step @p115 :rule trans :premises (@p16 @p114)) % 0.40/0.66 (step @p116 :rule symm :premises (@p115)) % 0.40/0.66 (step @p117 :rule trans :premises (@p116 @p16 @p105)) % 0.40/0.66 (step @p118 :rule true_intro :premises (@p117)) % 0.40/0.66 (step @p119 :rule symm :premises (@p118)) % 0.40/0.66 (step @p120 :rule trans :premises (@p119 @p93)) % 0.40/0.66 (step @p121 false :rule eq_resolve :premises (@p120 @p18)) % 0.40/0.66 ) % 0.40/0.66 % SZS output end Proof % 0.40/0.66 % cvc5 exiting %------------------------------------------------------------------------------