%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL008-1 : 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 : n020.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 08:44:52 AM UTC 2026 % Result : Unsatisfiable 172.56s 172.86s % Output : Proof 172.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL008-1 : 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 % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:25:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.14 --- Run --no-e-matching --full-saturate-quant at 6... % 21.95/22.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.96/28.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.14/34.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.43/64.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.71/79.94 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.11/113.31 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.28/128.55 --- Run --prenex-quant=none --full-saturate-quant at 30... % 128.35/158.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.56/172.86 % SZS status Unsatisfiable % 172.56/172.86 % SZS output start Proof % 172.56/172.86 ( % 172.56/172.86 (declare-sort $$unsorted 0) % 172.56/172.86 (declare-const tptp.sk2 $$unsorted) % 172.56/172.86 (declare-const tptp.sk1 $$unsorted) % 172.56/172.86 (declare-const tptp.top $$unsorted) % 172.56/172.86 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 172.56/172.86 (declare-const tptp.sk3 $$unsorted) % 172.56/172.86 (declare-const tptp.one $$unsorted) % 172.56/172.86 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 172.56/172.86 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 172.56/172.86 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 172.56/172.86 (declare-const tptp.zero $$unsorted) % 172.56/172.86 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 172.56/172.86 (define @t1 () (@var "A" $$unsorted)) % 172.56/172.86 (define @t2 () (@var "B" $$unsorted)) % 172.56/172.86 (define @t3 () (tptp.join @t1 @t2)) % 172.56/172.86 (define @t4 () (@list @t1 @t2)) % 172.56/172.86 (define @t5 () (@var "C" $$unsorted)) % 172.56/172.86 (define @t6 () (@list @t1 @t2 @t5)) % 172.56/172.86 (define @t7 () (tptp.complement @t1)) % 172.56/172.86 (define @t8 () (tptp.complement @t2)) % 172.56/172.86 (define @t9 () (tptp.complement (tptp.join @t7 @t8))) % 172.56/172.86 (define @t10 () (tptp.composition @t1 @t2)) % 172.56/172.86 (define @t11 () (tptp.composition @t2 @t5)) % 172.56/172.86 (define @t12 () (@list @t1)) % 172.56/172.86 (define @t13 () (tptp.converse @t1)) % 172.56/172.86 (define @t14 () (tptp.converse @t13)) % 172.56/172.86 (define @t15 () (forall @t12 (= @t14 @t1))) % 172.56/172.86 (define @t16 () (tptp.converse @t2)) % 172.56/172.86 (define @t17 () (tptp.join tptp.sk2 tptp.sk3)) % 172.56/172.86 (define @t18 () (tptp.composition tptp.sk1 @t17)) % 172.56/172.86 (define @t19 () (= @t18 (tptp.join (tptp.composition tptp.sk1 tptp.sk2) (tptp.composition tptp.sk1 tptp.sk3)))) % 172.56/172.86 (define @t20 () (tptp.converse tptp.sk1)) % 172.56/172.86 (define @t21 () (tptp.converse tptp.sk2)) % 172.56/172.86 (define @t22 () (tptp.converse tptp.sk3)) % 172.56/172.86 (define @t23 () (tptp.join @t21 @t22)) % 172.56/172.86 (define @t24 () (tptp.composition @t22 @t20)) % 172.56/172.86 (define @t25 () (tptp.composition @t21 @t20)) % 172.56/172.86 (define @t26 () (tptp.converse @t20)) % 172.56/172.86 (define @t27 () (= tptp.sk1 @t26)) % 172.56/172.86 (define @t28 () (tptp.converse @t21)) % 172.56/172.86 (define @t29 () (= tptp.sk2 @t28)) % 172.56/172.86 (define @t30 () (tptp.composition @t26 @t28)) % 172.56/172.86 (define @t31 () (tptp.converse @t25)) % 172.56/172.86 (define @t32 () (= @t31 @t30)) % 172.56/172.86 (define @t33 () (tptp.converse @t22)) % 172.56/172.86 (define @t34 () (= tptp.sk3 @t33)) % 172.56/172.86 (define @t35 () (tptp.converse @t23)) % 172.56/172.86 (define @t36 () (= @t35 (tptp.join @t28 @t33))) % 172.56/172.86 (define @t37 () (tptp.composition @t26 @t33)) % 172.56/172.86 (define @t38 () (tptp.converse @t24)) % 172.56/172.86 (define @t39 () (= @t38 @t37)) % 172.56/172.86 (define @t40 () (tptp.composition @t23 @t20)) % 172.56/172.86 (define @t41 () (tptp.converse @t40)) % 172.56/172.86 (define @t42 () (= @t41 (tptp.composition @t26 @t35))) % 172.56/172.86 (define @t43 () (tptp.join @t31 @t38)) % 172.56/172.86 (define @t44 () (tptp.join @t25 @t24)) % 172.56/172.86 (define @t45 () (= (tptp.converse @t44) @t43)) % 172.56/172.86 (define @t46 () (= @t40 @t44)) % 172.56/172.86 (define @t47 () (and @t27 @t29 @t32 @t34 @t36 @t39 @t42 @t45 @t46)) % 172.56/172.86 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 172.56/172.86 (assume @p2 (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 172.56/172.86 (assume @p3 (forall @t4 (= @t1 (tptp.join @t9 (tptp.complement (tptp.join @t7 @t2)))))) % 172.56/172.86 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t9))) % 172.56/172.86 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t11) (tptp.composition @t10 @t5)))) % 172.56/172.86 (assume @p6 (forall @t12 (= (tptp.composition @t1 tptp.one) @t1))) % 172.56/172.86 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t11)))) % 172.56/172.86 (assume @p8 @t15) % 172.56/172.86 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t13 @t16)))) % 172.56/172.86 (assume @p10 (forall @t4 (= (tptp.converse @t10) (tptp.composition @t16 @t13)))) % 172.56/172.86 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t13 (tptp.complement @t10)) @t8) @t8))) % 172.56/172.86 (assume @p12 (forall @t12 (= tptp.top (tptp.join @t1 @t7)))) % 172.56/172.86 (assume @p13 (forall @t12 (= tptp.zero (tptp.meet @t1 @t7)))) % 172.56/172.86 (assume @p14 (not @t19)) % 172.56/172.86 (step @p15 :rule eq-symm :args (@t14 @t1)) % 172.56/172.86 (step @p16 :rule cong :premises (@p15) :args (@t15)) % 172.56/172.86 (step @p17 :rule eq_resolve :premises (@p8 @p16)) % 172.56/172.86 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.sk1))) % 172.56/172.86 (step @p19 :rule instantiate :premises (@p17) :args ((@list tptp.sk2))) % 172.56/172.86 (step @p20 :rule instantiate :premises (@p10) :args ((@list @t21 @t20))) % 172.56/172.86 (step @p21 :rule instantiate :premises (@p17) :args ((@list tptp.sk3))) % 172.56/172.86 (step @p22 :rule instantiate :premises (@p9) :args ((@list @t21 @t22))) % 172.56/172.86 (step @p23 :rule instantiate :premises (@p10) :args ((@list @t22 @t20))) % 172.56/172.86 (step @p24 :rule instantiate :premises (@p10) :args ((@list @t23 @t20))) % 172.56/172.86 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t25 @t24))) % 172.56/172.86 (step @p26 :rule instantiate :premises (@p7) :args ((@list @t21 @t22 @t20))) % 172.56/172.86 (assume-push @p66 @t27) % 172.56/172.86 (assume-push @p67 @t29) % 172.56/172.86 (assume-push @p68 @t32) % 172.56/172.86 (assume-push @p69 @t34) % 172.56/172.86 (assume-push @p70 @t36) % 172.56/172.86 (assume-push @p71 @t39) % 172.56/172.86 (assume-push @p72 @t42) % 172.56/172.86 (assume-push @p73 @t45) % 172.56/172.86 (assume-push @p74 @t46) % 172.56/172.86 (step @p36 :rule symm :premises (@p21)) % 172.56/172.86 (step @p37 :rule symm :premises (@p18)) % 172.56/172.86 (step @p38 :rule cong :premises (@p37 @p36) :args (@t37)) % 172.56/172.86 (step @p39 :rule trans :premises (@p23 @p38)) % 172.56/172.86 (step @p40 :rule symm :premises (@p19)) % 172.56/172.86 (step @p41 :rule cong :premises (@p37 @p40) :args (@t30)) % 172.56/172.86 (step @p42 :rule trans :premises (@p20 @p41)) % 172.56/172.86 (step @p43 :rule cong :premises (@p42 @p39) :args (@t43)) % 172.56/172.86 (step @p44 :rule cong :premises (@p26) :args (@t41)) % 172.56/172.86 (step @p45 :rule symm :premises (@p24)) % 172.56/172.86 (step @p46 :rule symm :premises (@p22)) % 172.56/172.86 (step @p47 :rule cong :premises (@p19 @p21) :args (@t17)) % 172.56/172.86 (step @p48 :rule trans :premises (@p47 @p46)) % 172.56/172.86 (step @p49 :rule cong :premises (@p18 @p48) :args (@t18)) % 172.56/172.86 (step @p50 :rule trans :premises (@p49 @p45 @p44 @p25 @p43)) % 172.56/172.86 (step-pop @p75 :rule scope :premises (@p50)) % 172.56/172.86 (step-pop @p76 :rule scope :premises (@p75)) % 172.56/172.86 (step-pop @p77 :rule scope :premises (@p76)) % 172.56/172.86 (step-pop @p78 :rule scope :premises (@p77)) % 172.56/172.86 (step-pop @p79 :rule scope :premises (@p78)) % 172.56/172.86 (step-pop @p80 :rule scope :premises (@p79)) % 172.56/172.86 (step-pop @p81 :rule scope :premises (@p80)) % 172.56/172.86 (step-pop @p82 :rule scope :premises (@p81)) % 172.56/172.86 (step-pop @p83 :rule scope :premises (@p82)) % 172.56/172.86 (step @p51 :rule process_scope :premises (@p83) :args (@t19)) % 172.56/172.86 (step @p61 :rule implies_elim :premises (@p51)) % 172.56/172.86 (step @p62 :rule cnf_and_neg :args (@t47)) % 172.56/172.86 (step @p63 :rule resolution :premises (@p62 @p61) :args (true @t47)) % 172.56/172.86 (step @p64 :rule reordering :premises (@p63) :args ((or @t19 (not @t27) (not @t29) (not @t32) (not @t34) (not @t36) (not @t39) (not @t42) (not @t45) (not @t46)))) % 172.56/172.86 (step @p65 false :rule chain_m_resolution :premises (@p64 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p14) :args (false (@list false false false false false false false false false true) (@list @t46 @t45 @t42 @t39 @t36 @t34 @t32 @t29 @t27 @t19))) % 172.56/172.86 ) % 172.56/172.88 % SZS output end Proof % 172.56/172.88 % cvc5 exiting %------------------------------------------------------------------------------