%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL046-1 : TPTP v9.2.1. Released v4.0.0. % 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 08:45:04 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL046-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:51:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.sk1 $$unsorted) % 0.38/0.58 (declare-const tptp.sk2 $$unsorted) % 0.38/0.58 (declare-const tptp.top $$unsorted) % 0.38/0.58 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sk3 $$unsorted) % 0.38/0.58 (declare-const tptp.one $$unsorted) % 0.38/0.58 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.zero $$unsorted) % 0.38/0.58 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.join @t1 @t2)) % 0.38/0.58 (define @t4 () (@list @t1 @t2)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (@list @t1 @t2 @t5)) % 0.38/0.58 (define @t7 () (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 0.38/0.58 (define @t8 () (tptp.complement @t1)) % 0.38/0.58 (define @t9 () (tptp.complement @t2)) % 0.38/0.58 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 0.38/0.58 (define @t11 () (tptp.meet @t1 @t2)) % 0.38/0.58 (define @t12 () (forall @t4 (= @t11 @t10))) % 0.38/0.58 (define @t13 () (tptp.composition @t1 @t2)) % 0.38/0.58 (define @t14 () (tptp.composition @t2 @t5)) % 0.38/0.58 (define @t15 () (@list @t1)) % 0.38/0.58 (define @t16 () (tptp.converse @t1)) % 0.38/0.58 (define @t17 () (tptp.converse @t2)) % 0.38/0.58 (define @t18 () (tptp.meet tptp.sk2 tptp.sk3)) % 0.38/0.58 (define @t19 () (tptp.join tptp.sk1 @t18)) % 0.38/0.58 (define @t20 () (tptp.join tptp.sk1 tptp.sk3)) % 0.38/0.58 (define @t21 () (not (= @t20 tptp.sk3))) % 0.38/0.58 (define @t22 () (tptp.join tptp.sk1 tptp.sk2)) % 0.38/0.58 (define @t23 () (not (= @t22 tptp.sk2))) % 0.38/0.58 (define @t24 () (or @t23 @t21)) % 0.38/0.58 (define @t25 () (tptp.complement tptp.sk3)) % 0.38/0.58 (define @t26 () (tptp.complement (tptp.join @t25 tptp.sk2))) % 0.38/0.58 (define @t27 () (tptp.complement tptp.sk2)) % 0.38/0.58 (define @t28 () (tptp.complement (tptp.join @t25 @t27))) % 0.38/0.58 (define @t29 () (tptp.join tptp.sk1 @t28)) % 0.38/0.58 (define @t30 () (tptp.join @t29 @t26)) % 0.38/0.58 (define @t31 () (tptp.join tptp.sk1 (tptp.join @t28 @t26))) % 0.38/0.58 (define @t32 () (= @t31 @t30)) % 0.38/0.58 (define @t33 () (= @t30 @t31)) % 0.38/0.58 (define @t34 () (@list tptp.sk2 tptp.sk3)) % 0.38/0.58 (define @t35 () (tptp.complement (tptp.join @t27 tptp.sk3))) % 0.38/0.58 (define @t36 () (tptp.complement (tptp.join @t27 @t25))) % 0.38/0.58 (define @t37 () (tptp.join @t36 @t35)) % 0.38/0.58 (define @t38 () (forall @t4 (= @t10 @t11))) % 0.38/0.58 (define @t39 () (= @t36 @t18)) % 0.38/0.58 (define @t40 () (@list false)) % 0.38/0.58 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 0.38/0.58 (assume @p2 @t7) % 0.38/0.58 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 0.38/0.58 (assume @p4 @t12) % 0.38/0.58 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t14) (tptp.composition @t13 @t5)))) % 0.38/0.58 (assume @p6 (forall @t15 (= (tptp.composition @t1 tptp.one) @t1))) % 0.38/0.58 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t14)))) % 0.38/0.58 (assume @p8 (forall @t15 (= (tptp.converse @t16) @t1))) % 0.38/0.58 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t16 @t17)))) % 0.38/0.58 (assume @p10 (forall @t4 (= (tptp.converse @t13) (tptp.composition @t17 @t16)))) % 0.38/0.58 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t16 (tptp.complement @t13)) @t9) @t9))) % 0.38/0.58 (assume @p12 (forall @t15 (= tptp.top (tptp.join @t1 @t8)))) % 0.38/0.58 (assume @p13 (forall @t15 (= tptp.zero (tptp.meet @t1 @t8)))) % 0.38/0.58 (assume @p14 (= @t19 @t18)) % 0.38/0.58 (assume @p15 @t24) % 0.38/0.58 (step @p16 :rule bool-eq-false :args (@t32)) % 0.38/0.58 (step @p17 :rule symm :premises (@p16)) % 0.38/0.58 (step @p18 :rule eq-symm :args (@t30 @t31)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args ((not @t33))) % 0.38/0.58 (step @p20 :rule bool-eq-false :args (@t33)) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p17)) % 0.38/0.58 (step @p23 :rule instantiate :premises (@p3) :args (@t34)) % 0.38/0.58 (step @p24 :rule symm :premises (@p23)) % 0.38/0.58 (step @p25 :rule refl :args (tptp.sk1)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25 @p24) :args ((tptp.join tptp.sk1 @t37))) % 0.38/0.58 (step @p27 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t36 @t35))) % 0.38/0.58 (step @p28 :rule symm :premises (@p27)) % 0.38/0.58 (step @p29 :rule refl :args (@t35)) % 0.38/0.58 (step @p30 :rule eq-symm :args (@t11 @t10)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.38/0.58 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 0.38/0.58 (step @p33 :rule eq-symm :args (@t36 @t18)) % 0.38/0.58 (step @p34 :rule refl :args (@t38)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t38 @t39))) % 0.38/0.58 (assume-push @p80 @t38) % 0.38/0.58 (step @p37 :rule instantiate :premises (@p32) :args (@t34)) % 0.38/0.58 (step-pop @p81 :rule scope :premises (@p37)) % 0.38/0.58 (step @p38 :rule process_scope :premises (@p81) :args (@t39)) % 0.38/0.58 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.38/0.58 (step @p41 :rule implies_elim :premises (@p40)) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p32) :args ((= @t18 @t36) @t40 (@list @t38))) % 0.38/0.58 (step @p43 :rule cong :premises (@p25 @p42) :args (@t19)) % 0.38/0.58 (step @p44 :rule symm :premises (@p14)) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.58 (step @p37 :rule instantiate :premises (@p32) :args (@t34)) % 0.38/0.58 (step @p46 :rule trans :premises (@p37 @p45)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46 @p29) :args (@t37)) % 0.38/0.58 (step @p48 :rule trans :premises (@p23 @p47 @p28 @p26)) % 0.38/0.58 (step @p49 :rule eq-symm :args (@t20 tptp.sk3)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args (@t21)) % 0.38/0.58 (step @p51 :rule eq-symm :args (@t22 tptp.sk2)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51) :args (@t23)) % 0.38/0.58 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t24)) % 0.38/0.58 (step @p54 :rule eq_resolve :premises (@p15 @p53)) % 0.38/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args ((not (= tptp.sk3 @t20)) @t40 (@list (= tptp.sk2 @t22)))) % 0.38/0.58 (step @p56 :rule false_intro :premises (@p55)) % 0.38/0.58 (step @p57 :rule instantiate :premises (@p3) :args ((@list tptp.sk3 tptp.sk2))) % 0.38/0.58 (step @p58 :rule symm :premises (@p57)) % 0.38/0.58 (step @p59 :rule cong :premises (@p25 @p58) :args (@t31)) % 0.38/0.58 (step @p60 :rule refl :args (@t26)) % 0.38/0.58 (step @p61 :rule instantiate :premises (@p1) :args ((@list @t27 @t25))) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args (@t36)) % 0.38/0.58 (step @p63 :rule trans :premises (@p42 @p62)) % 0.38/0.58 (step @p64 :rule symm :premises (@p63)) % 0.38/0.58 (step @p65 :rule cong :premises (@p25 @p64) :args (@t29)) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p14)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67 @p60) :args (@t30)) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p58)) % 0.38/0.58 (step @p70 :rule cong :premises (@p69 @p59) :args (@t33)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p56)) % 0.38/0.58 (step @p72 :rule eq_resolve :premises (@p71 @p22)) % 0.38/0.58 (step @p73 :rule false_elim :premises (@p72)) % 0.38/0.58 (assume-push @p82 @t7) % 0.38/0.58 (step @p75 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 @t28 @t26))) % 0.38/0.58 (step-pop @p83 :rule scope :premises (@p75)) % 0.38/0.58 (step @p76 :rule process_scope :premises (@p83) :args (@t32)) % 0.38/0.58 (step @p78 :rule implies_elim :premises (@p76)) % 0.38/0.58 (step @p79 false :rule chain_m_resolution :premises (@p78 @p73 @p2) :args (false (@list true false) (@list @t32 @t7))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------