%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL008+3 : 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 : n012.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 30.91s 31.16s % Output : Proof 30.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : REL008+3 : 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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 13:24:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 30.91/31.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 30.91/31.16 --- Run --no-e-matching --full-saturate-quant at 6... % 30.91/31.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 30.91/31.16 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.91/31.16 % SZS status Theorem % 30.91/31.16 % SZS output start Proof % 30.91/31.16 ( % 30.91/31.16 (declare-sort $$unsorted 0) % 30.91/31.16 (declare-const tptp.top $$unsorted) % 30.91/31.16 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 30.91/31.16 (declare-const tptp.one $$unsorted) % 30.91/31.16 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 30.91/31.16 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 30.91/31.16 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 30.91/31.16 (declare-const tptp.zero $$unsorted) % 30.91/31.16 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 30.91/31.16 (define @t1 () (@var "X0" $$unsorted)) % 30.91/31.16 (define @t2 () (@var "X1" $$unsorted)) % 30.91/31.16 (define @t3 () (tptp.join @t1 @t2)) % 30.91/31.16 (define @t4 () (@list @t1 @t2)) % 30.91/31.16 (define @t5 () (@var "X2" $$unsorted)) % 30.91/31.16 (define @t6 () (tptp.join @t2 @t5)) % 30.91/31.16 (define @t7 () (@list @t1 @t2 @t5)) % 30.91/31.16 (define @t8 () (tptp.complement @t1)) % 30.91/31.16 (define @t9 () (tptp.complement @t2)) % 30.91/31.16 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 30.91/31.16 (define @t11 () (tptp.composition @t1 @t2)) % 30.91/31.16 (define @t12 () (tptp.composition @t2 @t5)) % 30.91/31.16 (define @t13 () (@list @t1)) % 30.91/31.16 (define @t14 () (tptp.composition @t1 @t5)) % 30.91/31.16 (define @t15 () (tptp.converse @t1)) % 30.91/31.16 (define @t16 () (tptp.converse @t15)) % 30.91/31.16 (define @t17 () (forall @t13 (= @t16 @t1))) % 30.91/31.16 (define @t18 () (tptp.converse @t2)) % 30.91/31.16 (define @t19 () (tptp.meet @t2 (tptp.composition @t15 @t5))) % 30.91/31.16 (define @t20 () (tptp.meet @t1 (tptp.composition @t5 @t18))) % 30.91/31.16 (define @t21 () (tptp.composition @t20 @t19)) % 30.91/31.16 (define @t22 () (tptp.meet @t11 @t5)) % 30.91/31.16 (define @t23 () (tptp.meet (tptp.composition @t1 @t19) @t5)) % 30.91/31.16 (define @t24 () (tptp.meet (tptp.composition @t20 @t2) @t5)) % 30.91/31.16 (define @t25 () (forall @t7 (= (tptp.composition @t1 @t6) (tptp.join @t11 @t14)))) % 30.91/31.16 (define @t26 () (@quantifiers_skolemize @t25 2)) % 30.91/31.16 (define @t27 () (@quantifiers_skolemize @t25 1)) % 30.91/31.16 (define @t28 () (tptp.join @t27 @t26)) % 30.91/31.16 (define @t29 () (@quantifiers_skolemize @t25 0)) % 30.91/31.16 (define @t30 () (tptp.composition @t29 @t28)) % 30.91/31.16 (define @t31 () (tptp.composition @t29 @t26)) % 30.91/31.16 (define @t32 () (tptp.composition @t29 @t27)) % 30.91/31.16 (define @t33 () (tptp.converse @t29)) % 30.91/31.16 (define @t34 () (tptp.converse @t26)) % 30.91/31.16 (define @t35 () (tptp.converse @t27)) % 30.91/31.16 (define @t36 () (tptp.join @t32 @t31)) % 30.91/31.16 (define @t37 () (tptp.converse @t36)) % 30.91/31.16 (define @t38 () (tptp.converse @t37)) % 30.91/31.16 (define @t39 () (= @t36 @t38)) % 30.91/31.16 (define @t40 () (not @t39)) % 30.91/31.16 (define @t41 () (tptp.composition @t34 @t33)) % 30.91/31.16 (define @t42 () (tptp.composition @t35 @t33)) % 30.91/31.16 (define @t43 () (tptp.join @t35 @t34)) % 30.91/31.16 (define @t44 () (tptp.composition @t43 @t33)) % 30.91/31.16 (define @t45 () (= @t44 (tptp.join @t42 @t41))) % 30.91/31.16 (define @t46 () (not @t45)) % 30.91/31.16 (define @t47 () (tptp.converse @t31)) % 30.91/31.16 (define @t48 () (tptp.converse @t32)) % 30.91/31.16 (define @t49 () (tptp.join @t48 @t47)) % 30.91/31.16 (define @t50 () (= @t37 @t49)) % 30.91/31.16 (define @t51 () (not @t50)) % 30.91/31.16 (define @t52 () (tptp.converse @t28)) % 30.91/31.16 (define @t53 () (= @t52 @t43)) % 30.91/31.16 (define @t54 () (not @t53)) % 30.91/31.16 (define @t55 () (= @t48 @t42)) % 30.91/31.16 (define @t56 () (not @t55)) % 30.91/31.16 (define @t57 () (tptp.converse @t30)) % 30.91/31.16 (define @t58 () (= @t30 (tptp.converse @t57))) % 30.91/31.16 (define @t59 () (not @t58)) % 30.91/31.16 (define @t60 () (= @t47 @t41)) % 30.91/31.16 (define @t61 () (not @t60)) % 30.91/31.16 (define @t62 () (= @t57 (tptp.composition @t52 @t33))) % 30.91/31.16 (define @t63 () (not @t62)) % 30.91/31.16 (define @t64 () (= @t30 @t36)) % 30.91/31.16 (define @t65 () (not @t64)) % 30.91/31.16 (define @t66 () (= @t38 @t36)) % 30.91/31.16 (define @t67 () (not @t66)) % 30.91/31.16 (define @t68 () (and @t40 @t39)) % 30.91/31.16 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 30.91/31.16 (assume @p2 (forall @t7 (= (tptp.join @t1 @t6) (tptp.join @t3 @t5)))) % 30.91/31.16 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 30.91/31.16 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t10))) % 30.91/31.16 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t12) (tptp.composition @t11 @t5)))) % 30.91/31.16 (assume @p6 (forall @t13 (= (tptp.composition @t1 tptp.one) @t1))) % 30.91/31.16 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t5) (tptp.join @t14 @t12)))) % 30.91/31.16 (assume @p8 @t17) % 30.91/31.16 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t15 @t18)))) % 30.91/31.16 (assume @p10 (forall @t4 (= (tptp.converse @t11) (tptp.composition @t18 @t15)))) % 30.91/31.16 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t15 (tptp.complement @t11)) @t9) @t9))) % 30.91/31.16 (assume @p12 (forall @t13 (= tptp.top (tptp.join @t1 @t8)))) % 30.91/31.16 (assume @p13 (forall @t13 (= tptp.zero (tptp.meet @t1 @t8)))) % 30.91/31.16 (assume @p14 (forall @t7 (= (tptp.join @t22 @t21) @t21))) % 30.91/31.16 (assume @p15 (forall @t7 (= (tptp.join @t22 @t23) @t23))) % 30.91/31.16 (assume @p16 (forall @t7 (= (tptp.join @t22 @t24) @t24))) % 30.91/31.16 (assume @p17 (not @t25)) % 30.91/31.16 (assume @p18 true) % 30.91/31.16 (step @p19 :rule skolemize :premises (@p17)) % 30.91/31.16 (step @p20 :rule instantiate :premises (@p10) :args ((@list @t29 @t28))) % 30.91/31.16 (step @p21 :rule instantiate :premises (@p10) :args ((@list @t29 @t26))) % 30.91/31.16 (step @p22 :rule eq-symm :args (@t16 @t1)) % 30.91/31.16 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 30.91/31.16 (step @p24 :rule eq_resolve :premises (@p8 @p23)) % 30.91/31.16 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t30))) % 30.91/31.16 (step @p26 :rule instantiate :premises (@p10) :args ((@list @t29 @t27))) % 30.91/31.16 (step @p27 :rule instantiate :premises (@p9) :args ((@list @t27 @t26))) % 30.91/31.16 (step @p28 :rule instantiate :premises (@p9) :args ((@list @t32 @t31))) % 30.91/31.16 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t35 @t34 @t33))) % 30.91/31.16 (step @p30 :rule instantiate :premises (@p24) :args ((@list @t36))) % 30.91/31.16 (step @p31 :rule refl :args (@t40)) % 30.91/31.16 (step @p32 :rule refl :args (@t46)) % 30.91/31.16 (step @p33 :rule refl :args (@t51)) % 30.91/31.16 (step @p34 :rule refl :args (@t54)) % 30.91/31.16 (step @p35 :rule refl :args (@t56)) % 30.91/31.16 (step @p36 :rule refl :args (@t59)) % 30.91/31.16 (step @p37 :rule refl :args (@t61)) % 30.91/31.16 (step @p38 :rule refl :args (@t63)) % 30.91/31.16 (step @p39 :rule bool-double-not-elim :args (@t64)) % 30.91/31.16 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31) :args ((or (not @t65) @t63 @t61 @t59 @t56 @t54 @t51 @t46 @t40))) % 30.91/31.16 (assume-push @p100 @t40) % 30.91/31.16 (assume-push @p101 @t39) % 30.91/31.16 (step @p43 :rule evaluate :args ((= false true))) % 30.91/31.16 (step @p44 :rule true_intro :premises (@p30)) % 30.91/31.16 (step @p45 :rule bool-eq-false :args (@t39)) % 30.91/31.16 (step @p46 :rule symm :premises (@p45)) % 30.91/31.16 (step @p47 :rule eq-symm :args (@t38 @t36)) % 30.91/31.16 (step @p48 :rule cong :premises (@p47) :args (@t67)) % 30.91/31.16 (step @p49 :rule bool-eq-false :args (@t66)) % 30.91/31.16 (step @p50 :rule trans :premises (@p49 @p48)) % 30.91/31.16 (step @p51 :rule trans :premises (@p50 @p46)) % 30.91/31.16 (step @p52 :rule false_intro :premises (@p19)) % 30.91/31.16 (step @p53 :rule refl :args (@t36)) % 30.91/31.16 (step @p54 :rule symm :premises (@p25)) % 30.91/31.16 (step @p55 :rule symm :premises (@p20)) % 30.91/31.16 (step @p56 :rule refl :args (@t33)) % 30.91/31.16 (step @p57 :rule symm :premises (@p27)) % 30.91/31.16 (step @p58 :rule cong :premises (@p57 @p56) :args (@t44)) % 30.91/31.16 (step @p59 :rule symm :premises (@p29)) % 30.91/31.16 (step @p60 :rule cong :premises (@p26 @p21) :args (@t49)) % 30.91/31.16 (step @p61 :rule trans :premises (@p28 @p60 @p59 @p58 @p55)) % 30.91/31.16 (step @p62 :rule cong :premises (@p61) :args (@t38)) % 30.91/31.16 (step @p63 :rule trans :premises (@p62 @p54)) % 30.91/31.16 (step @p64 :rule cong :premises (@p63 @p53) :args (@t66)) % 30.91/31.16 (step @p65 :rule trans :premises (@p64 @p52)) % 30.91/31.16 (step @p66 :rule eq_resolve :premises (@p65 @p51)) % 30.91/31.16 (step @p67 :rule symm :premises (@p66)) % 30.91/31.16 (step @p68 :rule trans :premises (@p67 @p44)) % 30.91/31.16 (step @p69 false :rule eq_resolve :premises (@p68 @p43)) % 30.91/31.16 (step-pop @p102 :rule scope :premises (@p69)) % 30.91/31.16 (step-pop @p103 :rule scope :premises (@p102)) % 30.91/31.16 (step @p70 :rule process_scope :premises (@p103) :args (false)) % 30.91/31.16 (assume-push @p104 @t65) % 30.91/31.16 (assume-push @p105 @t62) % 30.91/31.16 (assume-push @p106 @t60) % 30.91/31.16 (assume-push @p107 @t58) % 30.91/31.16 (assume-push @p108 @t55) % 30.91/31.16 (assume-push @p109 @t53) % 30.91/31.16 (assume-push @p110 @t50) % 30.91/31.16 (assume-push @p111 @t45) % 30.91/31.16 (assume-push @p112 @t39) % 30.91/31.16 (step @p45 :rule bool-eq-false :args (@t39)) % 30.91/31.16 (step @p46 :rule symm :premises (@p45)) % 30.91/31.16 (step @p47 :rule eq-symm :args (@t38 @t36)) % 30.91/31.16 (step @p48 :rule cong :premises (@p47) :args (@t67)) % 30.91/31.16 (step @p49 :rule bool-eq-false :args (@t66)) % 30.91/31.16 (step @p50 :rule trans :premises (@p49 @p48)) % 30.91/31.16 (step @p51 :rule trans :premises (@p50 @p46)) % 30.91/31.16 (step @p52 :rule false_intro :premises (@p19)) % 30.91/31.16 (step @p53 :rule refl :args (@t36)) % 30.91/31.16 (step @p54 :rule symm :premises (@p25)) % 30.91/31.16 (step @p55 :rule symm :premises (@p20)) % 30.91/31.16 (step @p56 :rule refl :args (@t33)) % 30.91/31.16 (step @p57 :rule symm :premises (@p27)) % 30.91/31.16 (step @p58 :rule cong :premises (@p57 @p56) :args (@t44)) % 30.91/31.16 (step @p59 :rule symm :premises (@p29)) % 30.91/31.16 (step @p60 :rule cong :premises (@p26 @p21) :args (@t49)) % 30.91/31.16 (step @p61 :rule trans :premises (@p28 @p60 @p59 @p58 @p55)) % 30.91/31.16 (step @p62 :rule cong :premises (@p61) :args (@t38)) % 30.91/31.16 (step @p63 :rule trans :premises (@p62 @p54)) % 30.91/31.16 (step @p64 :rule cong :premises (@p63 @p53) :args (@t66)) % 30.91/31.16 (step @p65 :rule trans :premises (@p64 @p52)) % 30.91/31.16 (step @p82 :rule eq_resolve :premises (@p65 @p51)) % 30.91/31.16 (step @p83 :rule false_elim :premises (@p82)) % 30.91/31.16 (step @p84 :rule and_intro :premises (@p83 @p30)) % 30.91/31.16 (step-pop @p113 :rule scope :premises (@p84)) % 30.91/31.16 (step-pop @p114 :rule scope :premises (@p113)) % 30.91/31.16 (step-pop @p115 :rule scope :premises (@p114)) % 30.91/31.16 (step-pop @p116 :rule scope :premises (@p115)) % 30.91/31.16 (step-pop @p117 :rule scope :premises (@p116)) % 30.91/31.16 (step-pop @p118 :rule scope :premises (@p117)) % 30.91/31.16 (step-pop @p119 :rule scope :premises (@p118)) % 30.91/31.16 (step-pop @p120 :rule scope :premises (@p119)) % 30.91/31.16 (step-pop @p121 :rule scope :premises (@p120)) % 30.91/31.16 (step @p85 :rule process_scope :premises (@p121) :args (@t68)) % 30.91/31.16 (step @p95 :rule implies_elim :premises (@p85)) % 30.91/31.16 (step @p96 :rule resolution :premises (@p95 @p70) :args (true @t68)) % 30.91/31.16 (step @p97 :rule not_and :premises (@p96)) % 30.91/31.16 (step @p98 :rule eq_resolve :premises (@p97 @p40)) % 30.91/31.16 (step @p99 false :rule chain_m_resolution :premises (@p98 @p30 @p29 @p28 @p27 @p26 @p25 @p21 @p20 @p19) :args (false (@list false false false false false false false false true) (@list @t39 @t45 @t50 @t53 @t55 @t58 @t60 @t62 @t64))) % 30.91/31.16 ) % 30.91/31.16 % SZS output end Proof % 30.91/31.16 % cvc5 exiting %------------------------------------------------------------------------------