%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT003-3 : 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 : n022.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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 1.21s 1.42s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT003-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:52:23 EDT 2026 % 0.17/0.34 % CPUTime : % 0.25/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.21/1.42 % SZS status Unsatisfiable % 1.21/1.42 % SZS output start Proof % 1.21/1.42 ( % 1.21/1.42 (declare-sort $$unsorted 0) % 1.21/1.42 (declare-const tptp.g $$unsorted) % 1.21/1.42 (declare-const tptp.b $$unsorted) % 1.21/1.42 (declare-const tptp.h $$unsorted) % 1.21/1.42 (declare-const tptp.a $$unsorted) % 1.21/1.42 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 1.21/1.42 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.42 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 1.21/1.42 (define @t1 () (@var "X" $$unsorted)) % 1.21/1.42 (define @t2 () (tptp.there_exists @t1)) % 1.21/1.42 (define @t3 () (@var "Y" $$unsorted)) % 1.21/1.42 (define @t4 () (tptp.equivalent @t1 @t3)) % 1.21/1.42 (define @t5 () (not @t4)) % 1.21/1.42 (define @t6 () (@list @t1 @t3)) % 1.21/1.42 (define @t7 () (= @t1 @t3)) % 1.21/1.42 (define @t8 () (not @t7)) % 1.21/1.42 (define @t9 () (not @t2)) % 1.21/1.42 (define @t10 () (tptp.domain @t1)) % 1.21/1.42 (define @t11 () (tptp.there_exists @t10)) % 1.21/1.42 (define @t12 () (not @t11)) % 1.21/1.42 (define @t13 () (@list @t1)) % 1.21/1.42 (define @t14 () (tptp.codomain @t1)) % 1.21/1.42 (define @t15 () (tptp.there_exists @t14)) % 1.21/1.42 (define @t16 () (tptp.compose @t1 @t3)) % 1.21/1.42 (define @t17 () (tptp.there_exists @t16)) % 1.21/1.42 (define @t18 () (not @t17)) % 1.21/1.42 (define @t19 () (= @t10 (tptp.codomain @t3))) % 1.21/1.42 (define @t20 () (@var "Z" $$unsorted)) % 1.21/1.42 (define @t21 () (@list @t1 @t3 @t20)) % 1.21/1.42 (define @t22 () (tptp.there_exists @t3)) % 1.21/1.42 (define @t23 () (tptp.f1 @t1 @t3)) % 1.21/1.42 (define @t24 () (= @t3 @t23)) % 1.21/1.42 (define @t25 () (= @t1 @t23)) % 1.21/1.42 (define @t26 () (tptp.compose tptp.a tptp.b)) % 1.21/1.42 (define @t27 () (= @t1 @t20)) % 1.21/1.42 (define @t28 () (tptp.compose @t20 @t26)) % 1.21/1.42 (define @t29 () (not (= @t28 @t3))) % 1.21/1.42 (define @t30 () (tptp.compose @t1 @t26)) % 1.21/1.42 (define @t31 () (not (= @t30 @t3))) % 1.21/1.42 (define @t32 () (or @t31 @t29 @t27)) % 1.21/1.42 (define @t33 () (forall @t21 @t32)) % 1.21/1.42 (define @t34 () (tptp.compose tptp.g tptp.a)) % 1.21/1.42 (define @t35 () (tptp.compose tptp.h tptp.a)) % 1.21/1.42 (define @t36 () (= @t35 @t34)) % 1.21/1.42 (define @t37 () (@list tptp.h tptp.a tptp.b)) % 1.21/1.42 (define @t38 () (not (= @t30 @t28))) % 1.21/1.42 (define @t39 () (not (= @t30 @t30))) % 1.21/1.42 (define @t40 () (or @t39 @t38 @t27)) % 1.21/1.42 (define @t41 () (@list @t1 @t20)) % 1.21/1.42 (define @t42 () (not (= @t3 @t28))) % 1.21/1.42 (define @t43 () (not (= @t3 @t30))) % 1.21/1.42 (define @t44 () (or @t43 @t43 @t42 @t27)) % 1.21/1.42 (define @t45 () (@list @t3)) % 1.21/1.42 (define @t46 () (or @t43 @t42 @t27)) % 1.21/1.42 (define @t47 () (forall @t45 @t46)) % 1.21/1.42 (define @t48 () (forall @t41 @t47)) % 1.21/1.42 (define @t49 () (forall (@list @t1 @t20 @t3) @t46)) % 1.21/1.42 (define @t50 () (= tptp.h tptp.g)) % 1.21/1.42 (define @t51 () (tptp.compose tptp.g @t26)) % 1.21/1.42 (define @t52 () (tptp.compose tptp.h @t26)) % 1.21/1.42 (define @t53 () (= @t52 @t51)) % 1.21/1.42 (define @t54 () (not @t53)) % 1.21/1.42 (define @t55 () (or @t54 @t50)) % 1.21/1.42 (define @t56 () (= @t51 (tptp.compose @t34 tptp.b))) % 1.21/1.42 (define @t57 () (not @t56)) % 1.21/1.42 (define @t58 () (tptp.compose @t35 tptp.b)) % 1.21/1.42 (define @t59 () (= @t52 @t58)) % 1.21/1.42 (define @t60 () (not @t59)) % 1.21/1.42 (define @t61 () (not @t36)) % 1.21/1.42 (define @t62 () (and @t53 @t54)) % 1.21/1.42 (assume @p1 (forall @t6 (or @t5 @t2))) % 1.21/1.42 (assume @p2 (forall @t6 (or @t5 @t7))) % 1.21/1.42 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 1.21/1.42 (assume @p4 (forall @t13 (or @t12 @t2))) % 1.21/1.42 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 1.21/1.42 (assume @p6 (forall @t6 (or @t18 @t11))) % 1.21/1.42 (assume @p7 (forall @t6 (or @t18 @t19))) % 1.21/1.42 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 1.21/1.42 (assume @p9 (forall @t21 (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 1.21/1.42 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 1.21/1.42 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 1.21/1.42 (assume @p12 (forall @t6 (or @t5 @t22))) % 1.21/1.42 (assume @p13 (forall @t6 (or @t9 (not @t22) @t8 @t4))) % 1.21/1.42 (assume @p14 (forall @t6 (or @t18 @t15))) % 1.21/1.42 (assume @p15 (forall @t6 (or (tptp.there_exists @t23) @t7))) % 1.21/1.42 (assume @p16 (forall @t6 (or @t25 @t24 @t7))) % 1.21/1.42 (assume @p17 (forall @t6 (or (not @t25) (not @t24) @t7))) % 1.21/1.42 (assume @p18 (tptp.there_exists @t26)) % 1.21/1.42 (assume @p19 @t33) % 1.21/1.42 (assume @p20 (tptp.there_exists tptp.h)) % 1.21/1.42 (assume @p21 @t36) % 1.21/1.42 (assume @p22 (not (= tptp.g tptp.h))) % 1.21/1.42 (step @p23 :rule instantiate :premises (@p9) :args (@t37)) % 1.21/1.42 (step @p24 :rule instantiate :premises (@p9) :args ((@list tptp.g tptp.a tptp.b))) % 1.21/1.42 (step @p25 :rule aci_norm :args ((= (or false @t38 @t27) (or @t38 @t27)))) % 1.21/1.42 (step @p26 :rule refl :args (@t27)) % 1.21/1.42 (step @p27 :rule refl :args (@t38)) % 1.21/1.42 (step @p28 :rule evaluate :args ((not true))) % 1.21/1.42 (step @p29 :rule eq-refl :args (@t30)) % 1.21/1.42 (step @p30 :rule cong :premises (@p29) :args (@t39)) % 1.21/1.42 (step @p31 :rule trans :premises (@p30 @p28)) % 1.21/1.42 (step @p32 :rule nary_cong :premises (@p31 @p27 @p26) :args (@t40)) % 1.21/1.42 (step @p33 :rule trans :premises (@p32 @p25)) % 1.21/1.42 (step @p34 :rule cong :premises (@p33) :args ((forall @t41 @t40))) % 1.21/1.42 (step @p35 :rule quant-var-elim-eq :args ((= (forall @t45 @t44) @t40))) % 1.21/1.42 (step @p36 :rule aci_norm :args ((= @t46 @t44))) % 1.21/1.42 (step @p37 :rule cong :premises (@p36) :args (@t47)) % 1.21/1.42 (step @p38 :rule trans :premises (@p37 @p35)) % 1.21/1.42 (step @p39 :rule cong :premises (@p38) :args (@t48)) % 1.21/1.42 (step @p40 :rule quant-merge-prenex :args ((= @t48 @t49))) % 1.21/1.42 (step @p41 :rule symm :premises (@p40)) % 1.21/1.42 (step @p42 :rule quant_var_reordering :args ((= (forall @t21 @t46) @t49))) % 1.21/1.42 (step @p43 :rule trans :premises (@p42 @p41 @p39)) % 1.21/1.42 (step @p44 :rule trans :premises (@p43 @p34)) % 1.21/1.42 (step @p45 :rule eq-symm :args (@t28 @t3)) % 1.21/1.42 (step @p46 :rule cong :premises (@p45) :args (@t29)) % 1.21/1.42 (step @p47 :rule eq-symm :args (@t30 @t3)) % 1.21/1.42 (step @p48 :rule cong :premises (@p47) :args (@t31)) % 1.21/1.42 (step @p49 :rule nary_cong :premises (@p48 @p46 @p26) :args (@t32)) % 1.21/1.42 (step @p50 :rule cong :premises (@p49) :args (@t33)) % 1.21/1.42 (step @p51 :rule trans :premises (@p50 @p44)) % 1.21/1.42 (step @p52 :rule eq_resolve :premises (@p19 @p51)) % 1.21/1.42 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.h tptp.g))) % 1.21/1.42 (step @p54 :rule symm :premises (@p22)) % 1.21/1.42 (step @p55 :rule cnf_or_pos :args (@t55)) % 1.21/1.42 (step @p56 :rule reordering :premises (@p55) :args ((or @t50 @t54 (not @t55)))) % 1.21/1.42 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53) :args (@t54 (@list true false) (@list @t50 @t55))) % 1.21/1.42 (step @p58 :rule bool-double-not-elim :args (@t53)) % 1.21/1.42 (step @p59 :rule refl :args (@t57)) % 1.21/1.42 (step @p60 :rule refl :args (@t60)) % 1.21/1.42 (step @p61 :rule refl :args (@t61)) % 1.21/1.42 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58) :args ((or @t61 @t60 @t57 (not @t54)))) % 1.21/1.42 (assume-push @p95 @t53) % 1.21/1.42 (assume-push @p96 @t54) % 1.21/1.42 (step @p65 :rule evaluate :args ((= true false))) % 1.21/1.42 (step @p66 :rule false_intro :premises (@p57)) % 1.21/1.42 (step @p67 :rule symm :premises (@p24)) % 1.21/1.42 (step @p68 :rule refl :args (tptp.b)) % 1.21/1.42 (step @p69 :rule cong :premises (@p21 @p68) :args (@t58)) % 1.21/1.42 (step @p70 :rule instantiate :premises (@p9) :args (@t37)) % 1.21/1.42 (step @p71 :rule trans :premises (@p70 @p69 @p67)) % 1.21/1.42 (step @p72 :rule true_intro :premises (@p71)) % 1.21/1.42 (step @p73 :rule symm :premises (@p72)) % 1.21/1.42 (step @p74 :rule trans :premises (@p73 @p66)) % 1.21/1.42 (step @p75 false :rule eq_resolve :premises (@p74 @p65)) % 1.21/1.42 (step-pop @p97 :rule scope :premises (@p75)) % 1.21/1.42 (step-pop @p98 :rule scope :premises (@p97)) % 1.21/1.42 (step @p76 :rule process_scope :premises (@p98) :args (false)) % 1.21/1.42 (assume-push @p99 @t36) % 1.21/1.42 (assume-push @p100 @t59) % 1.21/1.42 (assume-push @p101 @t56) % 1.21/1.42 (assume-push @p102 @t54) % 1.21/1.42 (step @p67 :rule symm :premises (@p24)) % 1.21/1.42 (step @p68 :rule refl :args (tptp.b)) % 1.21/1.42 (step @p69 :rule cong :premises (@p21 @p68) :args (@t58)) % 1.21/1.42 (step @p83 :rule trans :premises (@p23 @p69 @p67)) % 1.21/1.42 (step @p84 :rule and_intro :premises (@p83 @p57)) % 1.21/1.42 (step-pop @p103 :rule scope :premises (@p84)) % 1.21/1.42 (step-pop @p104 :rule scope :premises (@p103)) % 1.21/1.42 (step-pop @p105 :rule scope :premises (@p104)) % 1.21/1.42 (step-pop @p106 :rule scope :premises (@p105)) % 1.21/1.42 (step @p85 :rule process_scope :premises (@p106) :args (@t62)) % 1.21/1.42 (step @p90 :rule implies_elim :premises (@p85)) % 1.21/1.42 (step @p91 :rule resolution :premises (@p90 @p76) :args (true @t62)) % 1.21/1.42 (step @p92 :rule not_and :premises (@p91)) % 1.21/1.42 (step @p93 :rule eq_resolve :premises (@p92 @p62)) % 1.21/1.42 (step @p94 false :rule chain_m_resolution :premises (@p93 @p57 @p24 @p23 @p21) :args (false (@list true false false false) (@list @t53 @t56 @t59 @t36))) % 1.21/1.42 ) % 1.21/1.43 % SZS output end Proof % 1.21/1.43 % cvc5 exiting %------------------------------------------------------------------------------