%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL014+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 : n024.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 08:44:54 AM UTC 2026 % Result : Theorem 15.82s 16.07s % Output : Proof 15.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : REL014+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 08:28:45 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 15.82/16.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.82/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 15.82/16.07 % SZS status Theorem % 15.82/16.07 % SZS output start Proof % 15.82/16.07 ( % 15.82/16.07 (declare-sort $$unsorted 0) % 15.82/16.07 (declare-const tptp.top $$unsorted) % 15.82/16.07 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.82/16.07 (declare-const tptp.one $$unsorted) % 15.82/16.07 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.82/16.07 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.82/16.07 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.82/16.07 (declare-const tptp.zero $$unsorted) % 15.82/16.07 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.82/16.07 (define @t1 () (@var "X0" $$unsorted)) % 15.82/16.07 (define @t2 () (@var "X1" $$unsorted)) % 15.82/16.07 (define @t3 () (tptp.join @t1 @t2)) % 15.82/16.07 (define @t4 () (@list @t1 @t2)) % 15.82/16.07 (define @t5 () (@var "X2" $$unsorted)) % 15.82/16.07 (define @t6 () (@list @t1 @t2 @t5)) % 15.82/16.07 (define @t7 () (tptp.complement @t1)) % 15.82/16.07 (define @t8 () (tptp.complement @t2)) % 15.82/16.07 (define @t9 () (tptp.complement (tptp.join @t7 @t8))) % 15.82/16.07 (define @t10 () (tptp.composition @t1 @t2)) % 15.82/16.07 (define @t11 () (tptp.composition @t2 @t5)) % 15.82/16.07 (define @t12 () (tptp.composition @t1 tptp.one)) % 15.82/16.07 (define @t13 () (= @t12 @t1)) % 15.82/16.07 (define @t14 () (@list @t1)) % 15.82/16.07 (define @t15 () (forall @t14 @t13)) % 15.82/16.07 (define @t16 () (tptp.converse @t1)) % 15.82/16.07 (define @t17 () (tptp.converse @t16)) % 15.82/16.07 (define @t18 () (forall @t14 (= @t17 @t1))) % 15.82/16.07 (define @t19 () (tptp.converse @t2)) % 15.82/16.07 (define @t20 () (tptp.composition tptp.one @t1)) % 15.82/16.07 (define @t21 () (and @t13 (= @t20 @t1))) % 15.82/16.07 (define @t22 () (forall @t14 @t21)) % 15.82/16.07 (define @t23 () (not @t22)) % 15.82/16.07 (define @t24 () (= @t1 @t12)) % 15.82/16.07 (define @t25 () (forall @t14 @t24)) % 15.82/16.07 (define @t26 () (@list @t1)) % 15.82/16.07 (define @t27 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 15.82/16.07 (define @t28 () (@list @t27)) % 15.82/16.07 (define @t29 () (forall (@list @t27) (= @t27 (tptp.composition @t27 tptp.one)))) % 15.82/16.07 (define @t30 () (@list false)) % 15.82/16.07 (define @t31 () (= @t1 @t20)) % 15.82/16.07 (define @t32 () (forall @t14 @t31)) % 15.82/16.07 (define @t33 () (@var "BOUND_VARIABLE_7508" $$unsorted)) % 15.82/16.07 (define @t34 () (and @t25 @t32)) % 15.82/16.07 (define @t35 () (forall (@list @t33) (= @t33 (tptp.composition tptp.one @t33)))) % 15.82/16.07 (define @t36 () (@quantifiers_skolemize @t35 0)) % 15.82/16.07 (define @t37 () (tptp.composition tptp.one @t36)) % 15.82/16.07 (define @t38 () (tptp.converse tptp.one)) % 15.82/16.07 (define @t39 () (tptp.converse @t36)) % 15.82/16.07 (define @t40 () (tptp.converse @t38)) % 15.82/16.07 (define @t41 () (= tptp.one @t40)) % 15.82/16.07 (define @t42 () (tptp.converse @t39)) % 15.82/16.07 (define @t43 () (= @t36 @t42)) % 15.82/16.07 (define @t44 () (tptp.converse @t37)) % 15.82/16.07 (define @t45 () (= @t44 (tptp.composition @t39 @t38))) % 15.82/16.07 (define @t46 () (= @t37 (tptp.converse @t44))) % 15.82/16.07 (define @t47 () (tptp.composition @t38 tptp.one)) % 15.82/16.07 (define @t48 () (= @t38 @t47)) % 15.82/16.07 (define @t49 () (tptp.composition @t38 @t40)) % 15.82/16.07 (define @t50 () (= (tptp.converse @t47) @t49)) % 15.82/16.07 (define @t51 () (tptp.composition @t39 tptp.one)) % 15.82/16.07 (define @t52 () (= @t39 @t51)) % 15.82/16.07 (define @t53 () (= @t36 @t37)) % 15.82/16.07 (define @t54 () (and @t41 @t43 @t45 @t46 @t48 @t50 @t52)) % 15.82/16.07 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.82/16.07 (assume @p2 (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 15.82/16.07 (assume @p3 (forall @t4 (= @t1 (tptp.join @t9 (tptp.complement (tptp.join @t7 @t2)))))) % 15.82/16.07 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t9))) % 15.82/16.07 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t11) (tptp.composition @t10 @t5)))) % 15.82/16.07 (assume @p6 @t15) % 15.82/16.07 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t11)))) % 15.82/16.07 (assume @p8 @t18) % 15.82/16.07 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t16 @t19)))) % 15.82/16.07 (assume @p10 (forall @t4 (= (tptp.converse @t10) (tptp.composition @t19 @t16)))) % 15.82/16.07 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t16 (tptp.complement @t10)) @t8) @t8))) % 15.82/16.07 (assume @p12 (forall @t14 (= tptp.top (tptp.join @t1 @t7)))) % 15.82/16.07 (assume @p13 (forall @t14 (= tptp.zero (tptp.meet @t1 @t7)))) % 15.82/16.07 (assume @p14 @t23) % 15.82/16.07 (assume @p15 true) % 15.82/16.07 (step @p16 :rule eq-symm :args (@t12 @t1)) % 15.82/16.07 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 15.82/16.07 (step @p18 :rule eq_resolve :premises (@p6 @p17)) % 15.82/16.07 (step @p19 :rule alpha_equiv :args (@t25 @t26 @t28)) % 15.82/16.07 (step @p20 :rule equiv_elim1 :premises (@p19)) % 15.82/16.07 (step @p21 :rule reordering :premises (@p20) :args ((or @t29 (not @t25)))) % 15.82/16.07 (step @p22 :rule chain_m_resolution :premises (@p21 @p18) :args (@t29 @t30 (@list @t25))) % 15.82/16.07 (step @p23 :rule alpha_equiv :args (@t32 @t26 (@list @t33))) % 15.82/16.07 (step @p24 :rule alpha_equiv :args (@t25 @t26 @t28)) % 15.82/16.07 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t34)) % 15.82/16.07 (step @p26 :rule quant-miniscope-and :args ((= (forall @t14 (and @t24 @t31)) @t34))) % 15.82/16.07 (step @p27 :rule trans :premises (@p26 @p25)) % 15.82/16.07 (step @p28 :rule eq-symm :args (@t20 @t1)) % 15.82/16.07 (step @p29 :rule nary_cong :premises (@p16 @p28) :args (@t21)) % 15.82/16.07 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 15.82/16.07 (step @p31 :rule trans :premises (@p30 @p27)) % 15.82/16.07 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 15.82/16.07 (step @p33 :rule eq_resolve :premises (@p14 @p32)) % 15.82/16.07 (step @p34 :rule not_and :premises (@p33)) % 15.82/16.07 (step @p35 :rule chain_m_resolution :premises (@p34 @p22) :args ((not @t35) @t30 (@list @t29))) % 15.82/16.07 (step @p36 :rule skolemize :premises (@p35)) % 15.82/16.07 (step @p37 :rule eq-symm :args (@t17 @t1)) % 15.82/16.07 (step @p38 :rule cong :premises (@p37) :args (@t18)) % 15.82/16.07 (step @p39 :rule eq_resolve :premises (@p8 @p38)) % 15.82/16.07 (step @p40 :rule instantiate :premises (@p39) :args ((@list tptp.one))) % 15.82/16.07 (step @p41 :rule instantiate :premises (@p39) :args ((@list @t36))) % 15.82/16.07 (step @p42 :rule instantiate :premises (@p10) :args ((@list tptp.one @t36))) % 15.82/16.07 (step @p43 :rule instantiate :premises (@p39) :args ((@list @t37))) % 15.82/16.07 (step @p44 :rule instantiate :premises (@p18) :args ((@list @t38))) % 15.82/16.07 (step @p45 :rule instantiate :premises (@p10) :args ((@list @t38 tptp.one))) % 15.82/16.07 (step @p46 :rule instantiate :premises (@p18) :args ((@list @t39))) % 15.82/16.07 (assume-push @p80 @t41) % 15.82/16.07 (assume-push @p81 @t43) % 15.82/16.07 (assume-push @p82 @t45) % 15.82/16.07 (assume-push @p83 @t46) % 15.82/16.07 (assume-push @p84 @t48) % 15.82/16.07 (assume-push @p85 @t50) % 15.82/16.07 (assume-push @p86 @t52) % 15.82/16.07 (step @p54 :rule symm :premises (@p43)) % 15.82/16.07 (step @p55 :rule symm :premises (@p42)) % 15.82/16.07 (step @p56 :rule symm :premises (@p44)) % 15.82/16.07 (step @p57 :rule symm :premises (@p40)) % 15.82/16.07 (step @p58 :rule refl :args (@t38)) % 15.82/16.07 (step @p59 :rule cong :premises (@p58 @p57) :args (@t49)) % 15.82/16.07 (step @p60 :rule cong :premises (@p44) :args (@t40)) % 15.82/16.07 (step @p61 :rule trans :premises (@p40 @p60 @p45 @p59 @p56)) % 15.82/16.07 (step @p62 :rule refl :args (@t39)) % 15.82/16.07 (step @p63 :rule cong :premises (@p62 @p61) :args (@t51)) % 15.82/16.07 (step @p64 :rule trans :premises (@p46 @p63 @p55)) % 15.82/16.07 (step @p65 :rule cong :premises (@p64) :args (@t42)) % 15.82/16.07 (step @p66 :rule trans :premises (@p41 @p65 @p54)) % 15.82/16.07 (step-pop @p87 :rule scope :premises (@p66)) % 15.82/16.07 (step-pop @p88 :rule scope :premises (@p87)) % 15.82/16.07 (step-pop @p89 :rule scope :premises (@p88)) % 15.82/16.07 (step-pop @p90 :rule scope :premises (@p89)) % 15.82/16.07 (step-pop @p91 :rule scope :premises (@p90)) % 15.82/16.07 (step-pop @p92 :rule scope :premises (@p91)) % 15.82/16.07 (step-pop @p93 :rule scope :premises (@p92)) % 15.82/16.07 (step @p67 :rule process_scope :premises (@p93) :args (@t53)) % 15.82/16.07 (step @p75 :rule implies_elim :premises (@p67)) % 15.82/16.07 (step @p76 :rule cnf_and_neg :args (@t54)) % 15.82/16.07 (step @p77 :rule resolution :premises (@p76 @p75) :args (true @t54)) % 15.82/16.07 (step @p78 :rule reordering :premises (@p77) :args ((or @t53 (not @t41) (not @t43) (not @t45) (not @t46) (not @t48) (not @t50) (not @t52)))) % 15.82/16.07 (step @p79 false :rule chain_m_resolution :premises (@p78 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36) :args (false (@list false false false false false false false true) (@list @t52 @t50 @t48 @t46 @t45 @t43 @t41 @t53))) % 15.82/16.07 ) % 15.82/16.07 % SZS output end Proof % 15.82/16.07 % cvc5 exiting %------------------------------------------------------------------------------