%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT018-4 : 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 : n013.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : CAT018-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:55:45 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.c $$unsorted) % 0.39/0.59 (declare-const tptp.b $$unsorted) % 0.39/0.59 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.a $$unsorted) % 0.39/0.59 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t2 () (tptp.there_exists @t1)) % 0.39/0.59 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.39/0.59 (define @t5 () (not @t4)) % 0.39/0.59 (define @t6 () (@list @t1 @t3)) % 0.39/0.59 (define @t7 () (= @t1 @t3)) % 0.39/0.59 (define @t8 () (tptp.domain @t1)) % 0.39/0.59 (define @t9 () (tptp.there_exists @t8)) % 0.39/0.59 (define @t10 () (not @t9)) % 0.39/0.59 (define @t11 () (@list @t1)) % 0.39/0.59 (define @t12 () (tptp.codomain @t1)) % 0.39/0.59 (define @t13 () (tptp.compose @t1 @t3)) % 0.39/0.59 (define @t14 () (tptp.there_exists @t13)) % 0.39/0.59 (define @t15 () (not @t14)) % 0.39/0.59 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.39/0.59 (define @t17 () (forall @t6 (or @t15 @t16))) % 0.39/0.59 (define @t18 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t19 () (tptp.compose @t12 @t1)) % 0.39/0.59 (define @t20 () (forall @t11 (= @t19 @t1))) % 0.39/0.59 (define @t21 () (tptp.there_exists (tptp.compose tptp.a tptp.b))) % 0.39/0.59 (define @t22 () (tptp.compose tptp.b tptp.c)) % 0.39/0.59 (define @t23 () (tptp.there_exists @t22)) % 0.39/0.59 (define @t24 () (tptp.there_exists (tptp.compose tptp.a @t22))) % 0.39/0.59 (define @t25 () (tptp.domain tptp.a)) % 0.39/0.59 (define @t26 () (tptp.domain @t25)) % 0.39/0.59 (define @t27 () (tptp.codomain @t22)) % 0.39/0.59 (define @t28 () (tptp.compose @t25 @t22)) % 0.39/0.59 (define @t29 () (tptp.there_exists @t28)) % 0.39/0.59 (define @t30 () (not @t29)) % 0.39/0.59 (define @t31 () (= @t26 @t27)) % 0.39/0.59 (define @t32 () (or @t30 @t31)) % 0.39/0.59 (define @t33 () (= @t27 @t26)) % 0.39/0.59 (define @t34 () (or @t30 @t33)) % 0.39/0.59 (define @t35 () (@list false)) % 0.39/0.59 (define @t36 () (@list @t17)) % 0.39/0.59 (define @t37 () (@list tptp.a tptp.b)) % 0.39/0.59 (define @t38 () (tptp.there_exists @t25)) % 0.39/0.59 (define @t39 () (not @t21)) % 0.39/0.59 (define @t40 () (or @t39 @t38)) % 0.39/0.59 (define @t41 () (@list false false)) % 0.39/0.59 (define @t42 () (not (= @t25 @t27))) % 0.39/0.59 (define @t43 () (not @t38)) % 0.39/0.59 (define @t44 () (or @t43 @t42 @t24)) % 0.39/0.59 (define @t45 () (tptp.codomain tptp.b)) % 0.39/0.59 (define @t46 () (= @t25 @t45)) % 0.39/0.59 (define @t47 () (or @t39 @t46)) % 0.39/0.59 (define @t48 () (tptp.domain @t45)) % 0.39/0.59 (define @t49 () (tptp.compose @t45 tptp.b)) % 0.39/0.59 (define @t50 () (tptp.there_exists @t49)) % 0.39/0.59 (define @t51 () (not @t50)) % 0.39/0.59 (define @t52 () (or @t51 (= @t48 @t45))) % 0.39/0.59 (define @t53 () (= @t45 @t48)) % 0.39/0.59 (define @t54 () (or @t51 @t53)) % 0.39/0.59 (define @t55 () (@list tptp.b)) % 0.39/0.59 (define @t56 () (tptp.there_exists (tptp.domain tptp.b))) % 0.39/0.59 (define @t57 () (not @t23)) % 0.39/0.59 (define @t58 () (or @t57 @t56)) % 0.39/0.59 (define @t59 () (tptp.there_exists tptp.b)) % 0.39/0.59 (define @t60 () (not @t56)) % 0.39/0.59 (define @t61 () (or @t60 @t59)) % 0.39/0.59 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.39/0.59 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.39/0.59 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.39/0.59 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.39/0.59 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.39/0.59 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.39/0.59 (assume @p7 @t17) % 0.39/0.59 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.39/0.59 (assume @p9 (forall (@list @t1 @t3 @t18) (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18)))) % 0.39/0.59 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.39/0.59 (assume @p11 @t20) % 0.39/0.59 (assume @p12 @t21) % 0.39/0.59 (assume @p13 @t23) % 0.39/0.59 (assume @p14 (not @t24)) % 0.39/0.59 (step @p15 :rule eq-symm :args (@t26 @t27)) % 0.39/0.59 (step @p16 :rule refl :args (@t30)) % 0.39/0.59 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t32)) % 0.39/0.59 (step @p18 :rule refl :args (@t17)) % 0.39/0.59 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t17 @t32))) % 0.39/0.59 (assume-push @p99 @t17) % 0.39/0.59 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t25 @t22))) % 0.39/0.59 (step-pop @p100 :rule scope :premises (@p21)) % 0.39/0.59 (step @p22 :rule process_scope :premises (@p100) :args (@t32)) % 0.39/0.59 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.39/0.59 (step @p25 :rule implies_elim :premises (@p24)) % 0.39/0.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p7) :args (@t34 @t35 @t36)) % 0.39/0.59 (step @p27 :rule bool-eq-false :args (@t33)) % 0.39/0.59 (step @p28 :rule symm :premises (@p27)) % 0.39/0.59 (step @p29 :rule cong :premises (@p15) :args ((not @t31))) % 0.39/0.59 (step @p30 :rule bool-eq-false :args (@t31)) % 0.39/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.59 (step @p32 :rule trans :premises (@p31 @p28)) % 0.39/0.59 (step @p33 :rule instantiate :premises (@p8) :args ((@list tptp.a @t22))) % 0.39/0.59 (step @p34 :rule instantiate :premises (@p6) :args (@t37)) % 0.39/0.59 (step @p35 :rule cnf_or_pos :args (@t40)) % 0.39/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t39 @t38 (not @t40)))) % 0.39/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p12 @p34) :args (@t38 @t41 (@list @t21 @t40))) % 0.39/0.59 (step @p38 :rule cnf_or_pos :args (@t44)) % 0.39/0.59 (step @p39 :rule reordering :premises (@p38) :args ((or @t24 @t43 @t42 (not @t44)))) % 0.39/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p14 @p37 @p33) :args (@t42 (@list true false false) (@list @t24 @t38 @t44))) % 0.39/0.59 (step @p41 :rule false_intro :premises (@p40)) % 0.39/0.59 (step @p42 :rule refl :args (@t27)) % 0.39/0.59 (step @p43 :rule instantiate :premises (@p7) :args (@t37)) % 0.39/0.59 (step @p44 :rule cnf_or_pos :args (@t47)) % 0.39/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t39 @t46 (not @t47)))) % 0.39/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p12 @p43) :args (@t46 @t41 (@list @t21 @t47))) % 0.39/0.59 (step @p47 :rule symm :premises (@p46)) % 0.39/0.59 (step @p48 :rule eq-symm :args (@t48 @t45)) % 0.39/0.59 (step @p49 :rule refl :args (@t51)) % 0.39/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t52)) % 0.39/0.59 (step @p51 :rule cong :premises (@p18 @p50) :args ((=> @t17 @t52))) % 0.39/0.59 (assume-push @p101 @t17) % 0.39/0.59 (step @p53 :rule instantiate :premises (@p7) :args ((@list @t45 tptp.b))) % 0.39/0.59 (step-pop @p102 :rule scope :premises (@p53)) % 0.39/0.59 (step @p54 :rule process_scope :premises (@p102) :args (@t52)) % 0.39/0.59 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.39/0.59 (step @p57 :rule implies_elim :premises (@p56)) % 0.39/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p7) :args (@t54 @t35 @t36)) % 0.39/0.59 (step @p59 :rule instantiate :premises (@p4) :args (@t55)) % 0.39/0.59 (step @p60 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.c))) % 0.39/0.59 (step @p61 :rule cnf_or_pos :args (@t58)) % 0.39/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t57 @t56 (not @t58)))) % 0.39/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p13 @p60) :args (@t56 @t41 (@list @t23 @t58))) % 0.39/0.59 (step @p64 :rule cnf_or_pos :args (@t61)) % 0.39/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t60 @t59 (not @t61)))) % 0.39/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p59) :args (@t59 @t41 (@list @t56 @t61))) % 0.39/0.59 (step @p67 :rule true_intro :premises (@p66)) % 0.39/0.59 (step @p68 :rule eq-symm :args (@t19 @t1)) % 0.39/0.59 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 0.39/0.59 (step @p70 :rule eq_resolve :premises (@p11 @p69)) % 0.39/0.59 (step @p71 :rule instantiate :premises (@p70) :args (@t55)) % 0.39/0.59 (step @p72 :rule symm :premises (@p71)) % 0.39/0.59 (step @p73 :rule cong :premises (@p72) :args (@t50)) % 0.39/0.59 (step @p74 :rule trans :premises (@p73 @p67)) % 0.39/0.59 (step @p75 :rule true_elim :premises (@p74)) % 0.39/0.59 (step @p76 :rule cnf_or_pos :args (@t54)) % 0.39/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t51 @t53 (not @t54)))) % 0.39/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p58) :args (@t53 @t41 (@list @t50 @t54))) % 0.39/0.59 (step @p79 :rule symm :premises (@p78)) % 0.39/0.59 (step @p80 :rule cong :premises (@p46) :args (@t26)) % 0.39/0.59 (step @p81 :rule trans :premises (@p80 @p79 @p47)) % 0.39/0.59 (step @p82 :rule cong :premises (@p81 @p42) :args (@t31)) % 0.39/0.59 (step @p83 :rule trans :premises (@p82 @p41)) % 0.39/0.59 (step @p84 :rule eq_resolve :premises (@p83 @p32)) % 0.39/0.59 (step @p85 :rule false_elim :premises (@p84)) % 0.39/0.59 (step @p86 :rule true_intro :premises (@p13)) % 0.39/0.59 (step @p87 :rule refl :args (tptp.c)) % 0.39/0.59 (step @p88 :rule cong :premises (@p72 @p87) :args ((tptp.compose @t49 tptp.c))) % 0.39/0.59 (step @p89 :rule instantiate :premises (@p9) :args ((@list @t45 tptp.b tptp.c))) % 0.39/0.59 (step @p90 :rule refl :args (@t22)) % 0.39/0.59 (step @p91 :rule cong :premises (@p46 @p90) :args (@t28)) % 0.39/0.59 (step @p92 :rule trans :premises (@p91 @p89 @p88)) % 0.39/0.59 (step @p93 :rule cong :premises (@p92) :args (@t29)) % 0.39/0.59 (step @p94 :rule trans :premises (@p93 @p86)) % 0.39/0.59 (step @p95 :rule true_elim :premises (@p94)) % 0.39/0.59 (step @p96 :rule cnf_or_pos :args (@t34)) % 0.39/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t30 @t33 (not @t34)))) % 0.39/0.59 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p85 @p26) :args (false (@list false true false) (@list @t29 @t33 @t34))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------