%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT018-3 : 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 : n016.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 08:09:26 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.63s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : CAT018-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.37 % Computer : n016.cluster.edu % 0.17/0.37 % Model : x86_64 x86_64 % 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.37 % Memory : 8042.1875MB % 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.37 % CPULimit : 300 % 0.17/0.37 % WCLimit : 300 % 0.17/0.37 % DateTime : Wed Jun 3 02:56:09 EDT 2026 % 0.17/0.38 % CPUTime : % 0.24/0.55 %----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... % 0.34/0.63 % SZS status Unsatisfiable % 0.34/0.63 % SZS output start Proof % 0.34/0.64 ( % 0.34/0.64 (declare-sort $$unsorted 0) % 0.34/0.64 (declare-const tptp.b $$unsorted) % 0.34/0.64 (declare-const tptp.a $$unsorted) % 0.34/0.64 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.64 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/0.64 (declare-const tptp.c $$unsorted) % 0.34/0.64 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/0.64 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.34/0.64 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.64 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.34/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.34/0.64 (define @t2 () (tptp.there_exists @t1)) % 0.34/0.64 (define @t3 () (@var "Y" $$unsorted)) % 0.34/0.64 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.34/0.64 (define @t5 () (not @t4)) % 0.34/0.64 (define @t6 () (@list @t1 @t3)) % 0.34/0.64 (define @t7 () (= @t1 @t3)) % 0.34/0.64 (define @t8 () (not @t7)) % 0.34/0.64 (define @t9 () (not @t2)) % 0.34/0.64 (define @t10 () (tptp.domain @t1)) % 0.34/0.64 (define @t11 () (tptp.there_exists @t10)) % 0.34/0.64 (define @t12 () (not @t11)) % 0.34/0.64 (define @t13 () (@list @t1)) % 0.34/0.64 (define @t14 () (tptp.codomain @t1)) % 0.34/0.64 (define @t15 () (tptp.there_exists @t14)) % 0.34/0.64 (define @t16 () (tptp.compose @t1 @t3)) % 0.34/0.64 (define @t17 () (tptp.there_exists @t16)) % 0.34/0.64 (define @t18 () (not @t17)) % 0.34/0.64 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.34/0.64 (define @t20 () (forall @t6 (or @t18 @t19))) % 0.34/0.64 (define @t21 () (@var "Z" $$unsorted)) % 0.34/0.64 (define @t22 () (tptp.compose @t14 @t1)) % 0.34/0.64 (define @t23 () (forall @t13 (= @t22 @t1))) % 0.34/0.64 (define @t24 () (tptp.there_exists @t3)) % 0.34/0.64 (define @t25 () (tptp.f1 @t1 @t3)) % 0.34/0.64 (define @t26 () (= @t3 @t25)) % 0.34/0.64 (define @t27 () (= @t1 @t25)) % 0.34/0.64 (define @t28 () (tptp.there_exists (tptp.compose tptp.a tptp.b))) % 0.34/0.64 (define @t29 () (tptp.compose tptp.b tptp.c)) % 0.34/0.64 (define @t30 () (tptp.there_exists @t29)) % 0.34/0.64 (define @t31 () (tptp.there_exists (tptp.compose tptp.a @t29))) % 0.34/0.64 (define @t32 () (tptp.codomain tptp.b)) % 0.34/0.64 (define @t33 () (tptp.domain @t32)) % 0.34/0.64 (define @t34 () (tptp.codomain @t29)) % 0.34/0.64 (define @t35 () (tptp.there_exists (tptp.compose @t32 @t29))) % 0.34/0.64 (define @t36 () (not @t35)) % 0.34/0.64 (define @t37 () (= @t33 @t34)) % 0.34/0.64 (define @t38 () (or @t36 @t37)) % 0.34/0.64 (define @t39 () (= @t34 @t33)) % 0.34/0.64 (define @t40 () (or @t36 @t39)) % 0.34/0.64 (define @t41 () (@list false)) % 0.34/0.64 (define @t42 () (@list @t20)) % 0.34/0.64 (define @t43 () (@list tptp.a tptp.b)) % 0.34/0.64 (define @t44 () (tptp.domain tptp.a)) % 0.34/0.64 (define @t45 () (tptp.there_exists @t44)) % 0.34/0.64 (define @t46 () (not @t28)) % 0.34/0.64 (define @t47 () (or @t46 @t45)) % 0.34/0.64 (define @t48 () (@list false false)) % 0.34/0.64 (define @t49 () (not (= @t44 @t34))) % 0.34/0.64 (define @t50 () (not @t45)) % 0.34/0.64 (define @t51 () (or @t50 @t49 @t31)) % 0.34/0.64 (define @t52 () (= @t44 @t32)) % 0.34/0.64 (define @t53 () (or @t46 @t52)) % 0.34/0.64 (define @t54 () (tptp.compose @t32 tptp.b)) % 0.34/0.64 (define @t55 () (tptp.there_exists @t54)) % 0.34/0.64 (define @t56 () (not @t55)) % 0.34/0.64 (define @t57 () (or @t56 (= @t33 @t32))) % 0.34/0.64 (define @t58 () (= @t32 @t33)) % 0.34/0.64 (define @t59 () (or @t56 @t58)) % 0.34/0.64 (define @t60 () (@list tptp.b)) % 0.34/0.64 (define @t61 () (tptp.there_exists (tptp.domain tptp.b))) % 0.34/0.64 (define @t62 () (not @t30)) % 0.34/0.64 (define @t63 () (or @t62 @t61)) % 0.34/0.64 (define @t64 () (tptp.there_exists tptp.b)) % 0.34/0.64 (define @t65 () (not @t61)) % 0.34/0.64 (define @t66 () (or @t65 @t64)) % 0.34/0.64 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.34/0.64 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.34/0.64 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.34/0.64 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.34/0.64 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.34/0.64 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.34/0.64 (assume @p7 @t20) % 0.34/0.64 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.34/0.64 (assume @p9 (forall (@list @t1 @t3 @t21) (= (tptp.compose @t1 (tptp.compose @t3 @t21)) (tptp.compose @t16 @t21)))) % 0.34/0.64 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.34/0.64 (assume @p11 @t23) % 0.34/0.64 (assume @p12 (forall @t6 (or @t5 @t24))) % 0.34/0.64 (assume @p13 (forall @t6 (or @t9 (not @t24) @t8 @t4))) % 0.34/0.64 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.34/0.64 (assume @p15 (forall @t6 (or (tptp.there_exists @t25) @t7))) % 0.34/0.64 (assume @p16 (forall @t6 (or @t27 @t26 @t7))) % 0.34/0.64 (assume @p17 (forall @t6 (or (not @t27) (not @t26) @t7))) % 0.34/0.64 (assume @p18 @t28) % 0.34/0.64 (assume @p19 @t30) % 0.34/0.64 (assume @p20 (not @t31)) % 0.34/0.64 (step @p21 :rule eq-symm :args (@t33 @t34)) % 0.34/0.64 (step @p22 :rule refl :args (@t36)) % 0.34/0.64 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t38)) % 0.34/0.64 (step @p24 :rule refl :args (@t20)) % 0.34/0.64 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t20 @t38))) % 0.34/0.64 (assume-push @p102 @t20) % 0.34/0.64 (step @p27 :rule instantiate :premises (@p7) :args ((@list @t32 @t29))) % 0.34/0.64 (step-pop @p103 :rule scope :premises (@p27)) % 0.34/0.64 (step @p28 :rule process_scope :premises (@p103) :args (@t38)) % 0.34/0.64 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.34/0.64 (step @p31 :rule implies_elim :premises (@p30)) % 0.34/0.64 (step @p32 :rule chain_m_resolution :premises (@p31 @p7) :args (@t40 @t41 @t42)) % 0.34/0.64 (step @p33 :rule bool-eq-false :args (@t39)) % 0.34/0.64 (step @p34 :rule symm :premises (@p33)) % 0.34/0.64 (step @p35 :rule cong :premises (@p21) :args ((not @t37))) % 0.34/0.64 (step @p36 :rule bool-eq-false :args (@t37)) % 0.34/0.64 (step @p37 :rule trans :premises (@p36 @p35)) % 0.34/0.64 (step @p38 :rule trans :premises (@p37 @p34)) % 0.34/0.64 (step @p39 :rule instantiate :premises (@p8) :args ((@list tptp.a @t29))) % 0.34/0.64 (step @p40 :rule instantiate :premises (@p6) :args (@t43)) % 0.34/0.64 (step @p41 :rule cnf_or_pos :args (@t47)) % 0.34/0.64 (step @p42 :rule reordering :premises (@p41) :args ((or @t46 @t45 (not @t47)))) % 0.34/0.64 (step @p43 :rule chain_m_resolution :premises (@p42 @p18 @p40) :args (@t45 @t48 (@list @t28 @t47))) % 0.34/0.64 (step @p44 :rule cnf_or_pos :args (@t51)) % 0.34/0.64 (step @p45 :rule reordering :premises (@p44) :args ((or @t31 @t50 @t49 (not @t51)))) % 0.34/0.64 (step @p46 :rule chain_m_resolution :premises (@p45 @p20 @p43 @p39) :args (@t49 (@list true false false) (@list @t31 @t45 @t51))) % 0.34/0.64 (step @p47 :rule false_intro :premises (@p46)) % 0.34/0.64 (step @p48 :rule refl :args (@t34)) % 0.34/0.64 (step @p49 :rule instantiate :premises (@p7) :args (@t43)) % 0.34/0.64 (step @p50 :rule cnf_or_pos :args (@t53)) % 0.34/0.64 (step @p51 :rule reordering :premises (@p50) :args ((or @t46 @t52 (not @t53)))) % 0.34/0.64 (step @p52 :rule chain_m_resolution :premises (@p51 @p18 @p49) :args (@t52 @t48 (@list @t28 @t53))) % 0.34/0.64 (step @p53 :rule symm :premises (@p52)) % 0.34/0.64 (step @p54 :rule eq-symm :args (@t33 @t32)) % 0.34/0.64 (step @p55 :rule refl :args (@t56)) % 0.34/0.64 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t57)) % 0.34/0.64 (step @p57 :rule cong :premises (@p24 @p56) :args ((=> @t20 @t57))) % 0.34/0.64 (assume-push @p104 @t20) % 0.34/0.64 (step @p59 :rule instantiate :premises (@p7) :args ((@list @t32 tptp.b))) % 0.34/0.64 (step-pop @p105 :rule scope :premises (@p59)) % 0.34/0.64 (step @p60 :rule process_scope :premises (@p105) :args (@t57)) % 0.34/0.64 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.34/0.64 (step @p63 :rule implies_elim :premises (@p62)) % 0.34/0.64 (step @p64 :rule chain_m_resolution :premises (@p63 @p7) :args (@t59 @t41 @t42)) % 0.34/0.64 (step @p65 :rule instantiate :premises (@p4) :args (@t60)) % 0.34/0.64 (step @p66 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.c))) % 0.34/0.64 (step @p67 :rule cnf_or_pos :args (@t63)) % 0.34/0.64 (step @p68 :rule reordering :premises (@p67) :args ((or @t62 @t61 (not @t63)))) % 0.34/0.64 (step @p69 :rule chain_m_resolution :premises (@p68 @p19 @p66) :args (@t61 @t48 (@list @t30 @t63))) % 0.34/0.64 (step @p70 :rule cnf_or_pos :args (@t66)) % 0.34/0.64 (step @p71 :rule reordering :premises (@p70) :args ((or @t65 @t64 (not @t66)))) % 0.34/0.64 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65) :args (@t64 @t48 (@list @t61 @t66))) % 0.34/0.64 (step @p73 :rule true_intro :premises (@p72)) % 0.34/0.64 (step @p74 :rule eq-symm :args (@t22 @t1)) % 0.34/0.64 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.34/0.64 (step @p76 :rule eq_resolve :premises (@p11 @p75)) % 0.34/0.64 (step @p77 :rule instantiate :premises (@p76) :args (@t60)) % 0.34/0.64 (step @p78 :rule symm :premises (@p77)) % 0.34/0.64 (step @p79 :rule cong :premises (@p78) :args (@t55)) % 0.34/0.64 (step @p80 :rule trans :premises (@p79 @p73)) % 0.34/0.64 (step @p81 :rule true_elim :premises (@p80)) % 0.34/0.64 (step @p82 :rule cnf_or_pos :args (@t59)) % 0.34/0.64 (step @p83 :rule reordering :premises (@p82) :args ((or @t56 @t58 (not @t59)))) % 0.34/0.64 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p64) :args (@t58 @t48 (@list @t55 @t59))) % 0.34/0.64 (step @p85 :rule symm :premises (@p84)) % 0.34/0.64 (step @p86 :rule trans :premises (@p85 @p53)) % 0.34/0.64 (step @p87 :rule cong :premises (@p86 @p48) :args (@t37)) % 0.34/0.64 (step @p88 :rule trans :premises (@p87 @p47)) % 0.34/0.64 (step @p89 :rule eq_resolve :premises (@p88 @p38)) % 0.34/0.64 (step @p90 :rule false_elim :premises (@p89)) % 0.34/0.64 (step @p91 :rule true_intro :premises (@p19)) % 0.34/0.64 (step @p92 :rule refl :args (tptp.c)) % 0.34/0.64 (step @p93 :rule cong :premises (@p78 @p92) :args ((tptp.compose @t54 tptp.c))) % 0.34/0.64 (step @p94 :rule instantiate :premises (@p9) :args ((@list @t32 tptp.b tptp.c))) % 0.34/0.64 (step @p95 :rule trans :premises (@p94 @p93)) % 0.34/0.64 (step @p96 :rule cong :premises (@p95) :args (@t35)) % 0.34/0.64 (step @p97 :rule trans :premises (@p96 @p91)) % 0.34/0.64 (step @p98 :rule true_elim :premises (@p97)) % 0.34/0.64 (step @p99 :rule cnf_or_pos :args (@t40)) % 0.34/0.64 (step @p100 :rule reordering :premises (@p99) :args ((or @t36 @t39 (not @t40)))) % 0.34/0.64 (step @p101 false :rule chain_m_resolution :premises (@p100 @p98 @p90 @p32) :args (false (@list false true false) (@list @t35 @t39 @t40))) % 0.34/0.64 ) % 0.34/0.64 % SZS output end Proof % 0.34/0.64 % cvc5 exiting %------------------------------------------------------------------------------