%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL008+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 : Theorem 172.49s 172.73s % Output : Proof 172.49s % 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/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 13:24:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 172.49/172.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 172.49/172.73 --- Run --no-e-matching --full-saturate-quant at 6... % 172.49/172.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 172.49/172.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 172.49/172.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 172.49/172.73 --- Run --trigger-sel=max --full-saturate-quant at 15... % 172.49/172.73 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 172.49/172.73 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 172.49/172.73 --- Run --prenex-quant=none --full-saturate-quant at 30... % 172.49/172.73 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.49/172.73 % SZS status Theorem % 172.49/172.73 % SZS output start Proof % 172.49/172.73 ( % 172.49/172.73 (declare-sort $$unsorted 0) % 172.49/172.73 (declare-const tptp.top $$unsorted) % 172.49/172.73 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 172.49/172.73 (declare-const tptp.one $$unsorted) % 172.49/172.73 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 172.49/172.73 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 172.49/172.73 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 172.49/172.73 (declare-const tptp.zero $$unsorted) % 172.49/172.73 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 172.49/172.73 (define @t1 () (@var "X0" $$unsorted)) % 172.49/172.73 (define @t2 () (@var "X1" $$unsorted)) % 172.49/172.73 (define @t3 () (tptp.join @t1 @t2)) % 172.49/172.73 (define @t4 () (@list @t1 @t2)) % 172.49/172.73 (define @t5 () (@var "X2" $$unsorted)) % 172.49/172.73 (define @t6 () (tptp.join @t2 @t5)) % 172.49/172.73 (define @t7 () (@list @t1 @t2 @t5)) % 172.49/172.73 (define @t8 () (tptp.complement @t1)) % 172.49/172.73 (define @t9 () (tptp.complement @t2)) % 172.49/172.73 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 172.49/172.73 (define @t11 () (tptp.composition @t1 @t2)) % 172.49/172.73 (define @t12 () (tptp.composition @t2 @t5)) % 172.49/172.73 (define @t13 () (@list @t1)) % 172.49/172.73 (define @t14 () (tptp.composition @t1 @t5)) % 172.49/172.73 (define @t15 () (tptp.converse @t1)) % 172.49/172.73 (define @t16 () (tptp.converse @t15)) % 172.49/172.73 (define @t17 () (forall @t13 (= @t16 @t1))) % 172.49/172.73 (define @t18 () (tptp.converse @t2)) % 172.49/172.73 (define @t19 () (forall @t7 (= (tptp.composition @t1 @t6) (tptp.join @t11 @t14)))) % 172.49/172.73 (define @t20 () (@quantifiers_skolemize @t19 0)) % 172.49/172.73 (define @t21 () (@quantifiers_skolemize @t19 1)) % 172.49/172.73 (define @t22 () (tptp.converse @t20)) % 172.49/172.73 (define @t23 () (tptp.converse @t21)) % 172.49/172.73 (define @t24 () (@quantifiers_skolemize @t19 2)) % 172.49/172.73 (define @t25 () (tptp.converse @t24)) % 172.49/172.73 (define @t26 () (tptp.join @t23 @t25)) % 172.49/172.73 (define @t27 () (tptp.composition @t25 @t22)) % 172.49/172.73 (define @t28 () (tptp.composition @t23 @t22)) % 172.49/172.73 (define @t29 () (tptp.converse @t22)) % 172.49/172.73 (define @t30 () (= @t20 @t29)) % 172.49/172.73 (define @t31 () (tptp.converse @t23)) % 172.49/172.73 (define @t32 () (= @t21 @t31)) % 172.49/172.73 (define @t33 () (tptp.composition @t29 @t31)) % 172.49/172.73 (define @t34 () (tptp.converse @t28)) % 172.49/172.73 (define @t35 () (= @t34 @t33)) % 172.49/172.73 (define @t36 () (tptp.converse @t25)) % 172.49/172.73 (define @t37 () (= @t24 @t36)) % 172.49/172.73 (define @t38 () (tptp.converse @t26)) % 172.49/172.73 (define @t39 () (= @t38 (tptp.join @t31 @t36))) % 172.49/172.73 (define @t40 () (tptp.composition @t29 @t36)) % 172.49/172.73 (define @t41 () (tptp.converse @t27)) % 172.49/172.73 (define @t42 () (= @t41 @t40)) % 172.49/172.73 (define @t43 () (tptp.composition @t26 @t22)) % 172.49/172.73 (define @t44 () (tptp.converse @t43)) % 172.49/172.73 (define @t45 () (= @t44 (tptp.composition @t29 @t38))) % 172.49/172.73 (define @t46 () (tptp.join @t34 @t41)) % 172.49/172.73 (define @t47 () (tptp.join @t28 @t27)) % 172.49/172.73 (define @t48 () (= (tptp.converse @t47) @t46)) % 172.49/172.73 (define @t49 () (= @t43 @t47)) % 172.49/172.73 (define @t50 () (tptp.join @t21 @t24)) % 172.49/172.73 (define @t51 () (tptp.composition @t20 @t50)) % 172.49/172.73 (define @t52 () (= @t51 (tptp.join (tptp.composition @t20 @t21) (tptp.composition @t20 @t24)))) % 172.49/172.73 (define @t53 () (and @t30 @t32 @t35 @t37 @t39 @t42 @t45 @t48 @t49)) % 172.49/172.73 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 172.49/172.73 (assume @p2 (forall @t7 (= (tptp.join @t1 @t6) (tptp.join @t3 @t5)))) % 172.49/172.73 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 172.49/172.73 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t10))) % 172.49/172.73 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t12) (tptp.composition @t11 @t5)))) % 172.49/172.73 (assume @p6 (forall @t13 (= (tptp.composition @t1 tptp.one) @t1))) % 172.49/172.73 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t5) (tptp.join @t14 @t12)))) % 172.49/172.73 (assume @p8 @t17) % 172.49/172.73 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t15 @t18)))) % 172.49/172.73 (assume @p10 (forall @t4 (= (tptp.converse @t11) (tptp.composition @t18 @t15)))) % 172.49/172.75 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t15 (tptp.complement @t11)) @t9) @t9))) % 172.49/172.75 (assume @p12 (forall @t13 (= tptp.top (tptp.join @t1 @t8)))) % 172.49/172.75 (assume @p13 (forall @t13 (= tptp.zero (tptp.meet @t1 @t8)))) % 172.49/172.75 (assume @p14 (not @t19)) % 172.49/172.75 (assume @p15 true) % 172.49/172.75 (step @p16 :rule skolemize :premises (@p14)) % 172.49/172.75 (step @p17 :rule eq-symm :args (@t16 @t1)) % 172.49/172.75 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 172.49/172.75 (step @p19 :rule eq_resolve :premises (@p8 @p18)) % 172.49/172.75 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t20))) % 172.49/172.75 (step @p21 :rule instantiate :premises (@p19) :args ((@list @t21))) % 172.49/172.75 (step @p22 :rule instantiate :premises (@p10) :args ((@list @t23 @t22))) % 172.49/172.75 (step @p23 :rule instantiate :premises (@p19) :args ((@list @t24))) % 172.49/172.75 (step @p24 :rule instantiate :premises (@p9) :args ((@list @t23 @t25))) % 172.49/172.75 (step @p25 :rule instantiate :premises (@p10) :args ((@list @t25 @t22))) % 172.49/172.75 (step @p26 :rule instantiate :premises (@p10) :args ((@list @t26 @t22))) % 172.49/172.75 (step @p27 :rule instantiate :premises (@p9) :args ((@list @t28 @t27))) % 172.49/172.75 (step @p28 :rule instantiate :premises (@p7) :args ((@list @t23 @t25 @t22))) % 172.49/172.75 (assume-push @p68 @t30) % 172.49/172.75 (assume-push @p69 @t32) % 172.49/172.75 (assume-push @p70 @t35) % 172.49/172.75 (assume-push @p71 @t37) % 172.49/172.75 (assume-push @p72 @t39) % 172.49/172.75 (assume-push @p73 @t42) % 172.49/172.75 (assume-push @p74 @t45) % 172.49/172.75 (assume-push @p75 @t48) % 172.49/172.75 (assume-push @p76 @t49) % 172.49/172.75 (step @p38 :rule symm :premises (@p23)) % 172.49/172.75 (step @p39 :rule symm :premises (@p20)) % 172.49/172.75 (step @p40 :rule cong :premises (@p39 @p38) :args (@t40)) % 172.49/172.75 (step @p41 :rule trans :premises (@p25 @p40)) % 172.49/172.75 (step @p42 :rule symm :premises (@p21)) % 172.49/172.75 (step @p43 :rule cong :premises (@p39 @p42) :args (@t33)) % 172.49/172.75 (step @p44 :rule trans :premises (@p22 @p43)) % 172.49/172.75 (step @p45 :rule cong :premises (@p44 @p41) :args (@t46)) % 172.49/172.75 (step @p46 :rule cong :premises (@p28) :args (@t44)) % 172.49/172.75 (step @p47 :rule symm :premises (@p26)) % 172.49/172.75 (step @p48 :rule symm :premises (@p24)) % 172.49/172.75 (step @p49 :rule cong :premises (@p21 @p23) :args (@t50)) % 172.49/172.75 (step @p50 :rule trans :premises (@p49 @p48)) % 172.49/172.75 (step @p51 :rule cong :premises (@p20 @p50) :args (@t51)) % 172.49/172.75 (step @p52 :rule trans :premises (@p51 @p47 @p46 @p27 @p45)) % 172.49/172.75 (step-pop @p77 :rule scope :premises (@p52)) % 172.49/172.75 (step-pop @p78 :rule scope :premises (@p77)) % 172.49/172.75 (step-pop @p79 :rule scope :premises (@p78)) % 172.49/172.75 (step-pop @p80 :rule scope :premises (@p79)) % 172.49/172.75 (step-pop @p81 :rule scope :premises (@p80)) % 172.49/172.75 (step-pop @p82 :rule scope :premises (@p81)) % 172.49/172.75 (step-pop @p83 :rule scope :premises (@p82)) % 172.49/172.75 (step-pop @p84 :rule scope :premises (@p83)) % 172.49/172.75 (step-pop @p85 :rule scope :premises (@p84)) % 172.49/172.75 (step @p53 :rule process_scope :premises (@p85) :args (@t52)) % 172.49/172.75 (step @p63 :rule implies_elim :premises (@p53)) % 172.49/172.75 (step @p64 :rule cnf_and_neg :args (@t53)) % 172.49/172.75 (step @p65 :rule resolution :premises (@p64 @p63) :args (true @t53)) % 172.49/172.75 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 (not @t30) (not @t32) (not @t35) (not @t37) (not @t39) (not @t42) (not @t45) (not @t48) (not @t49)))) % 172.49/172.75 (step @p67 false :rule chain_m_resolution :premises (@p66 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p16) :args (false (@list false false false false false false false false false true) (@list @t49 @t48 @t45 @t42 @t39 @t37 @t35 @t32 @t30 @t52))) % 172.49/172.75 ) % 172.49/172.75 % SZS output end Proof % 172.49/172.75 % cvc5 exiting %------------------------------------------------------------------------------