%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT001-3 : 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 : n014.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 08:09:20 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.62s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.13 % Problem : CAT001-3 : TPTP v9.2.1. Released v1.0.0. % 0.09/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.35 % Computer : n014.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jun 3 02:53:13 EDT 2026 % 0.13/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.62 % SZS status Unsatisfiable % 0.32/0.62 % SZS output start Proof % 0.32/0.63 ( % 0.32/0.63 (declare-sort $$unsorted 0) % 0.32/0.63 (declare-const tptp.b $$unsorted) % 0.32/0.63 (declare-const tptp.h $$unsorted) % 0.32/0.63 (declare-const tptp.a $$unsorted) % 0.32/0.63 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.63 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.32/0.63 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.32/0.63 (declare-const tptp.g $$unsorted) % 0.32/0.63 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.32/0.63 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.63 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.32/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.63 (define @t2 () (tptp.there_exists @t1)) % 0.32/0.63 (define @t3 () (@var "Y" $$unsorted)) % 0.32/0.63 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.32/0.63 (define @t5 () (not @t4)) % 0.32/0.63 (define @t6 () (@list @t1 @t3)) % 0.32/0.63 (define @t7 () (= @t1 @t3)) % 0.32/0.63 (define @t8 () (not @t7)) % 0.32/0.63 (define @t9 () (not @t2)) % 0.32/0.63 (define @t10 () (tptp.domain @t1)) % 0.32/0.63 (define @t11 () (tptp.there_exists @t10)) % 0.32/0.63 (define @t12 () (not @t11)) % 0.32/0.63 (define @t13 () (@list @t1)) % 0.32/0.63 (define @t14 () (tptp.codomain @t1)) % 0.32/0.63 (define @t15 () (tptp.there_exists @t14)) % 0.32/0.63 (define @t16 () (tptp.compose @t1 @t3)) % 0.32/0.63 (define @t17 () (tptp.there_exists @t16)) % 0.32/0.63 (define @t18 () (not @t17)) % 0.32/0.63 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.32/0.63 (define @t20 () (@var "Z" $$unsorted)) % 0.32/0.63 (define @t21 () (@list @t1 @t3 @t20)) % 0.32/0.63 (define @t22 () (forall @t21 (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.32/0.63 (define @t23 () (tptp.there_exists @t3)) % 0.32/0.63 (define @t24 () (tptp.f1 @t1 @t3)) % 0.32/0.63 (define @t25 () (= @t3 @t24)) % 0.32/0.63 (define @t26 () (= @t1 @t24)) % 0.32/0.63 (define @t27 () (tptp.compose tptp.a tptp.b)) % 0.32/0.63 (define @t28 () (= @t1 @t20)) % 0.32/0.63 (define @t29 () (tptp.compose @t27 @t20)) % 0.32/0.63 (define @t30 () (not (= @t29 @t3))) % 0.32/0.63 (define @t31 () (tptp.compose @t27 @t1)) % 0.32/0.63 (define @t32 () (not (= @t31 @t3))) % 0.32/0.63 (define @t33 () (or @t32 @t30 @t28)) % 0.32/0.63 (define @t34 () (forall @t21 @t33)) % 0.32/0.63 (define @t35 () (tptp.compose tptp.b tptp.h)) % 0.32/0.63 (define @t36 () (tptp.compose tptp.b tptp.g)) % 0.32/0.63 (define @t37 () (= @t35 @t36)) % 0.32/0.63 (define @t38 () (= tptp.h tptp.g)) % 0.32/0.63 (define @t39 () (tptp.compose tptp.a @t36)) % 0.32/0.63 (define @t40 () (tptp.compose @t27 tptp.g)) % 0.32/0.63 (define @t41 () (= @t39 @t40)) % 0.32/0.63 (define @t42 () (@list tptp.a tptp.b tptp.g)) % 0.32/0.63 (define @t43 () (= @t40 @t39)) % 0.32/0.63 (define @t44 () (not (= @t31 @t29))) % 0.32/0.63 (define @t45 () (not (= @t31 @t31))) % 0.32/0.63 (define @t46 () (or @t45 @t44 @t28)) % 0.32/0.63 (define @t47 () (@list @t1 @t20)) % 0.32/0.63 (define @t48 () (not (= @t3 @t29))) % 0.32/0.63 (define @t49 () (not (= @t3 @t31))) % 0.32/0.63 (define @t50 () (or @t49 @t49 @t48 @t28)) % 0.32/0.63 (define @t51 () (@list @t3)) % 0.32/0.63 (define @t52 () (or @t49 @t48 @t28)) % 0.32/0.63 (define @t53 () (forall @t51 @t52)) % 0.32/0.63 (define @t54 () (forall @t47 @t53)) % 0.32/0.63 (define @t55 () (forall (@list @t1 @t20 @t3) @t52)) % 0.32/0.63 (define @t56 () (tptp.compose @t27 tptp.h)) % 0.32/0.63 (define @t57 () (= @t56 @t40)) % 0.32/0.63 (define @t58 () (not @t57)) % 0.32/0.63 (define @t59 () (or @t58 @t38)) % 0.32/0.63 (define @t60 () (tptp.compose tptp.a @t35)) % 0.32/0.63 (define @t61 () (= @t60 @t56)) % 0.32/0.63 (define @t62 () (and @t37 @t61 @t43)) % 0.32/0.63 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.32/0.63 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.32/0.63 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.32/0.63 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.32/0.63 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.32/0.63 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.32/0.63 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.32/0.63 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.32/0.63 (assume @p9 @t22) % 0.32/0.63 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.32/0.63 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.32/0.63 (assume @p12 (forall @t6 (or @t5 @t23))) % 0.32/0.63 (assume @p13 (forall @t6 (or @t9 (not @t23) @t8 @t4))) % 0.32/0.63 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.32/0.63 (assume @p15 (forall @t6 (or (tptp.there_exists @t24) @t7))) % 0.32/0.63 (assume @p16 (forall @t6 (or @t26 @t25 @t7))) % 0.32/0.63 (assume @p17 (forall @t6 (or (not @t26) (not @t25) @t7))) % 0.32/0.63 (assume @p18 (tptp.there_exists @t27)) % 0.32/0.63 (assume @p19 @t34) % 0.32/0.63 (assume @p20 (tptp.there_exists @t35)) % 0.32/0.63 (assume @p21 @t37) % 0.32/0.63 (assume @p22 (not @t38)) % 0.32/0.63 (step @p23 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.h))) % 0.32/0.63 (step @p24 :rule eq-symm :args (@t39 @t40)) % 0.32/0.63 (step @p25 :rule refl :args (@t22)) % 0.32/0.63 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t22 @t41))) % 0.32/0.63 (assume-push @p82 @t22) % 0.32/0.63 (step @p28 :rule instantiate :premises (@p9) :args (@t42)) % 0.32/0.63 (step-pop @p83 :rule scope :premises (@p28)) % 0.32/0.63 (step @p29 :rule process_scope :premises (@p83) :args (@t41)) % 0.32/0.63 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.32/0.63 (step @p32 :rule implies_elim :premises (@p31)) % 0.32/0.63 (step @p33 :rule chain_m_resolution :premises (@p32 @p9) :args (@t43 (@list false) (@list @t22))) % 0.32/0.63 (step @p34 :rule aci_norm :args ((= (or false @t44 @t28) (or @t44 @t28)))) % 0.32/0.63 (step @p35 :rule refl :args (@t28)) % 0.32/0.63 (step @p36 :rule refl :args (@t44)) % 0.32/0.63 (step @p37 :rule evaluate :args ((not true))) % 0.32/0.63 (step @p38 :rule eq-refl :args (@t31)) % 0.32/0.63 (step @p39 :rule cong :premises (@p38) :args (@t45)) % 0.32/0.63 (step @p40 :rule trans :premises (@p39 @p37)) % 0.32/0.63 (step @p41 :rule nary_cong :premises (@p40 @p36 @p35) :args (@t46)) % 0.32/0.63 (step @p42 :rule trans :premises (@p41 @p34)) % 0.32/0.63 (step @p43 :rule cong :premises (@p42) :args ((forall @t47 @t46))) % 0.32/0.63 (step @p44 :rule quant-var-elim-eq :args ((= (forall @t51 @t50) @t46))) % 0.32/0.63 (step @p45 :rule aci_norm :args ((= @t52 @t50))) % 0.32/0.63 (step @p46 :rule cong :premises (@p45) :args (@t53)) % 0.32/0.63 (step @p47 :rule trans :premises (@p46 @p44)) % 0.32/0.63 (step @p48 :rule cong :premises (@p47) :args (@t54)) % 0.32/0.63 (step @p49 :rule quant-merge-prenex :args ((= @t54 @t55))) % 0.32/0.63 (step @p50 :rule symm :premises (@p49)) % 0.32/0.63 (step @p51 :rule quant_var_reordering :args ((= (forall @t21 @t52) @t55))) % 0.32/0.63 (step @p52 :rule trans :premises (@p51 @p50 @p48)) % 0.32/0.63 (step @p53 :rule trans :premises (@p52 @p43)) % 0.32/0.63 (step @p54 :rule eq-symm :args (@t29 @t3)) % 0.32/0.63 (step @p55 :rule cong :premises (@p54) :args (@t30)) % 0.32/0.63 (step @p56 :rule eq-symm :args (@t31 @t3)) % 0.32/0.63 (step @p57 :rule cong :premises (@p56) :args (@t32)) % 0.32/0.63 (step @p58 :rule nary_cong :premises (@p57 @p55 @p35) :args (@t33)) % 0.32/0.63 (step @p59 :rule cong :premises (@p58) :args (@t34)) % 0.32/0.63 (step @p60 :rule trans :premises (@p59 @p53)) % 0.32/0.63 (step @p61 :rule eq_resolve :premises (@p19 @p60)) % 0.32/0.63 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.h tptp.g))) % 0.32/0.63 (step @p63 :rule cnf_or_pos :args (@t59)) % 0.32/0.63 (step @p64 :rule reordering :premises (@p63) :args ((or @t38 @t58 (not @t59)))) % 0.32/0.63 (step @p65 :rule chain_m_resolution :premises (@p64 @p22 @p62) :args (@t58 (@list true false) (@list @t38 @t59))) % 0.32/0.63 (assume-push @p84 @t37) % 0.32/0.63 (assume-push @p85 @t61) % 0.32/0.63 (assume-push @p86 @t43) % 0.32/0.63 (step @p28 :rule instantiate :premises (@p9) :args (@t42)) % 0.32/0.63 (step @p69 :rule refl :args (tptp.a)) % 0.32/0.63 (step @p70 :rule cong :premises (@p69 @p21) :args (@t60)) % 0.32/0.63 (step @p71 :rule symm :premises (@p23)) % 0.32/0.63 (step @p72 :rule trans :premises (@p71 @p70 @p28)) % 0.32/0.63 (step-pop @p87 :rule scope :premises (@p72)) % 0.32/0.63 (step-pop @p88 :rule scope :premises (@p87)) % 0.32/0.63 (step-pop @p89 :rule scope :premises (@p88)) % 0.32/0.63 (step @p73 :rule process_scope :premises (@p89) :args (@t57)) % 0.32/0.63 (step @p77 :rule implies_elim :premises (@p73)) % 0.32/0.63 (step @p78 :rule cnf_and_neg :args (@t62)) % 0.32/0.63 (step @p79 :rule resolution :premises (@p78 @p77) :args (true @t62)) % 0.32/0.63 (step @p80 :rule reordering :premises (@p79) :args ((or (not @t37) (not @t61) @t57 (not @t43)))) % 0.32/0.63 (step @p81 false :rule chain_m_resolution :premises (@p80 @p65 @p33 @p23 @p21) :args (false (@list true false false false) (@list @t57 @t43 @t61 @t37))) % 0.32/0.63 ) % 0.32/0.63 % SZS output end Proof % 0.29/0.63 % cvc5 exiting %------------------------------------------------------------------------------