%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL008-3 : 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 : n027.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 08:44:53 AM UTC 2026 % Result : Unsatisfiable 30.85s 31.07s % Output : Proof 30.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL008-3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 13:25:51 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/16.03 --- Run --no-e-matching --full-saturate-quant at 6... % 21.86/22.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.85/31.07 % SZS status Unsatisfiable % 30.85/31.07 % SZS output start Proof % 30.85/31.07 ( % 30.85/31.07 (declare-sort $$unsorted 0) % 30.85/31.07 (declare-const tptp.sk1 $$unsorted) % 30.85/31.07 (declare-const tptp.top $$unsorted) % 30.85/31.07 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 30.85/31.07 (declare-const tptp.one $$unsorted) % 30.85/31.07 (declare-const tptp.sk3 $$unsorted) % 30.85/31.07 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 30.85/31.07 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 30.85/31.07 (declare-const tptp.sk2 $$unsorted) % 30.85/31.07 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 30.85/31.07 (declare-const tptp.zero $$unsorted) % 30.85/31.07 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 30.85/31.07 (define @t1 () (@var "A" $$unsorted)) % 30.85/31.07 (define @t2 () (@var "B" $$unsorted)) % 30.85/31.07 (define @t3 () (tptp.join @t1 @t2)) % 30.85/31.07 (define @t4 () (@list @t1 @t2)) % 30.85/31.07 (define @t5 () (@var "C" $$unsorted)) % 30.85/31.07 (define @t6 () (@list @t1 @t2 @t5)) % 30.85/31.07 (define @t7 () (tptp.complement @t1)) % 30.85/31.07 (define @t8 () (tptp.complement @t2)) % 30.85/31.07 (define @t9 () (tptp.complement (tptp.join @t7 @t8))) % 30.85/31.07 (define @t10 () (tptp.composition @t1 @t2)) % 30.85/31.07 (define @t11 () (tptp.composition @t2 @t5)) % 30.85/31.07 (define @t12 () (@list @t1)) % 30.85/31.07 (define @t13 () (tptp.converse @t1)) % 30.85/31.07 (define @t14 () (tptp.converse @t13)) % 30.85/31.07 (define @t15 () (forall @t12 (= @t14 @t1))) % 30.85/31.07 (define @t16 () (tptp.converse @t2)) % 30.85/31.07 (define @t17 () (tptp.meet @t2 (tptp.composition @t13 @t5))) % 30.85/31.07 (define @t18 () (tptp.meet @t1 (tptp.composition @t5 @t16))) % 30.85/31.07 (define @t19 () (tptp.composition @t18 @t17)) % 30.85/31.07 (define @t20 () (tptp.meet @t10 @t5)) % 30.85/31.07 (define @t21 () (tptp.meet (tptp.composition @t1 @t17) @t5)) % 30.85/31.07 (define @t22 () (tptp.meet (tptp.composition @t18 @t2) @t5)) % 30.85/31.07 (define @t23 () (tptp.composition tptp.sk1 tptp.sk3)) % 30.85/31.07 (define @t24 () (tptp.composition tptp.sk1 tptp.sk2)) % 30.85/31.07 (define @t25 () (tptp.join @t24 @t23)) % 30.85/31.07 (define @t26 () (tptp.join tptp.sk2 tptp.sk3)) % 30.85/31.07 (define @t27 () (tptp.composition tptp.sk1 @t26)) % 30.85/31.07 (define @t28 () (= @t27 @t25)) % 30.85/31.07 (define @t29 () (not @t28)) % 30.85/31.07 (define @t30 () (tptp.converse tptp.sk1)) % 30.85/31.07 (define @t31 () (tptp.converse tptp.sk3)) % 30.85/31.07 (define @t32 () (tptp.converse tptp.sk2)) % 30.85/31.07 (define @t33 () (tptp.converse @t25)) % 30.85/31.07 (define @t34 () (tptp.converse @t33)) % 30.85/31.07 (define @t35 () (= @t25 @t34)) % 30.85/31.07 (define @t36 () (not @t35)) % 30.85/31.07 (define @t37 () (tptp.composition @t31 @t30)) % 30.85/31.07 (define @t38 () (tptp.composition @t32 @t30)) % 30.85/31.07 (define @t39 () (tptp.join @t32 @t31)) % 30.85/31.07 (define @t40 () (tptp.composition @t39 @t30)) % 30.85/31.07 (define @t41 () (= @t40 (tptp.join @t38 @t37))) % 30.85/31.07 (define @t42 () (not @t41)) % 30.85/31.07 (define @t43 () (tptp.converse @t23)) % 30.85/31.07 (define @t44 () (tptp.converse @t24)) % 30.85/31.07 (define @t45 () (tptp.join @t44 @t43)) % 30.85/31.07 (define @t46 () (= @t33 @t45)) % 30.85/31.07 (define @t47 () (not @t46)) % 30.85/31.07 (define @t48 () (tptp.converse @t26)) % 30.85/31.07 (define @t49 () (= @t48 @t39)) % 30.85/31.07 (define @t50 () (not @t49)) % 30.85/31.07 (define @t51 () (= @t44 @t38)) % 30.85/31.07 (define @t52 () (not @t51)) % 30.85/31.07 (define @t53 () (tptp.converse @t27)) % 30.85/31.07 (define @t54 () (= @t27 (tptp.converse @t53))) % 30.85/31.07 (define @t55 () (not @t54)) % 30.85/31.07 (define @t56 () (= @t43 @t37)) % 30.85/31.07 (define @t57 () (not @t56)) % 30.85/31.07 (define @t58 () (= @t53 (tptp.composition @t48 @t30))) % 30.85/31.07 (define @t59 () (not @t58)) % 30.85/31.07 (define @t60 () (= @t34 @t25)) % 30.85/31.07 (define @t61 () (not @t60)) % 30.85/31.07 (define @t62 () (and @t36 @t35)) % 30.85/31.07 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 30.85/31.07 (assume @p2 (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 30.85/31.07 (assume @p3 (forall @t4 (= @t1 (tptp.join @t9 (tptp.complement (tptp.join @t7 @t2)))))) % 30.85/31.07 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t9))) % 30.85/31.07 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t11) (tptp.composition @t10 @t5)))) % 30.85/31.07 (assume @p6 (forall @t12 (= (tptp.composition @t1 tptp.one) @t1))) % 30.85/31.07 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t11)))) % 30.85/31.07 (assume @p8 @t15) % 30.85/31.07 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t13 @t16)))) % 30.85/31.07 (assume @p10 (forall @t4 (= (tptp.converse @t10) (tptp.composition @t16 @t13)))) % 30.85/31.07 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t13 (tptp.complement @t10)) @t8) @t8))) % 30.85/31.07 (assume @p12 (forall @t12 (= tptp.top (tptp.join @t1 @t7)))) % 30.85/31.07 (assume @p13 (forall @t12 (= tptp.zero (tptp.meet @t1 @t7)))) % 30.85/31.07 (assume @p14 (forall @t6 (= (tptp.join @t20 @t19) @t19))) % 30.85/31.07 (assume @p15 (forall @t6 (= (tptp.join @t20 @t21) @t21))) % 30.85/31.07 (assume @p16 (forall @t6 (= (tptp.join @t20 @t22) @t22))) % 30.85/31.07 (assume @p17 @t29) % 30.85/31.07 (step @p18 :rule instantiate :premises (@p10) :args ((@list tptp.sk1 @t26))) % 30.85/31.07 (step @p19 :rule instantiate :premises (@p10) :args ((@list tptp.sk1 tptp.sk3))) % 30.85/31.07 (step @p20 :rule eq-symm :args (@t14 @t1)) % 30.85/31.07 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 30.85/31.07 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 30.85/31.07 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t27))) % 30.85/31.07 (step @p24 :rule instantiate :premises (@p10) :args ((@list tptp.sk1 tptp.sk2))) % 30.85/31.07 (step @p25 :rule instantiate :premises (@p9) :args ((@list tptp.sk2 tptp.sk3))) % 30.85/31.07 (step @p26 :rule instantiate :premises (@p9) :args ((@list @t24 @t23))) % 30.85/31.07 (step @p27 :rule instantiate :premises (@p7) :args ((@list @t32 @t31 @t30))) % 30.85/31.07 (step @p28 :rule instantiate :premises (@p22) :args ((@list @t25))) % 30.85/31.07 (step @p29 :rule refl :args (@t36)) % 30.85/31.07 (step @p30 :rule refl :args (@t42)) % 30.85/31.07 (step @p31 :rule refl :args (@t47)) % 30.85/31.07 (step @p32 :rule refl :args (@t50)) % 30.85/31.07 (step @p33 :rule refl :args (@t52)) % 30.85/31.07 (step @p34 :rule refl :args (@t55)) % 30.85/31.07 (step @p35 :rule refl :args (@t57)) % 30.85/31.07 (step @p36 :rule refl :args (@t59)) % 30.85/31.07 (step @p37 :rule bool-double-not-elim :args (@t28)) % 30.85/31.07 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29) :args ((or (not @t29) @t59 @t57 @t55 @t52 @t50 @t47 @t42 @t36))) % 30.85/31.07 (assume-push @p98 @t36) % 30.85/31.07 (assume-push @p99 @t35) % 30.85/31.07 (step @p41 :rule evaluate :args ((= false true))) % 30.85/31.07 (step @p42 :rule true_intro :premises (@p28)) % 30.85/31.07 (step @p43 :rule bool-eq-false :args (@t35)) % 30.85/31.07 (step @p44 :rule symm :premises (@p43)) % 30.85/31.07 (step @p45 :rule eq-symm :args (@t34 @t25)) % 30.85/31.07 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 30.85/31.07 (step @p47 :rule bool-eq-false :args (@t60)) % 30.85/31.07 (step @p48 :rule trans :premises (@p47 @p46)) % 30.85/31.07 (step @p49 :rule trans :premises (@p48 @p44)) % 30.85/31.07 (step @p50 :rule false_intro :premises (@p17)) % 30.85/31.07 (step @p51 :rule refl :args (@t25)) % 30.85/31.07 (step @p52 :rule symm :premises (@p23)) % 30.85/31.07 (step @p53 :rule symm :premises (@p18)) % 30.85/31.07 (step @p54 :rule refl :args (@t30)) % 30.85/31.07 (step @p55 :rule symm :premises (@p25)) % 30.85/31.07 (step @p56 :rule cong :premises (@p55 @p54) :args (@t40)) % 30.85/31.07 (step @p57 :rule symm :premises (@p27)) % 30.85/31.07 (step @p58 :rule cong :premises (@p24 @p19) :args (@t45)) % 30.85/31.07 (step @p59 :rule trans :premises (@p26 @p58 @p57 @p56 @p53)) % 30.85/31.07 (step @p60 :rule cong :premises (@p59) :args (@t34)) % 30.85/31.07 (step @p61 :rule trans :premises (@p60 @p52)) % 30.85/31.07 (step @p62 :rule cong :premises (@p61 @p51) :args (@t60)) % 30.85/31.07 (step @p63 :rule trans :premises (@p62 @p50)) % 30.85/31.07 (step @p64 :rule eq_resolve :premises (@p63 @p49)) % 30.85/31.07 (step @p65 :rule symm :premises (@p64)) % 30.85/31.07 (step @p66 :rule trans :premises (@p65 @p42)) % 30.85/31.07 (step @p67 false :rule eq_resolve :premises (@p66 @p41)) % 30.85/31.07 (step-pop @p100 :rule scope :premises (@p67)) % 30.85/31.07 (step-pop @p101 :rule scope :premises (@p100)) % 30.85/31.07 (step @p68 :rule process_scope :premises (@p101) :args (false)) % 30.85/31.07 (assume-push @p102 @t29) % 30.85/31.07 (assume-push @p103 @t58) % 30.85/31.07 (assume-push @p104 @t56) % 30.85/31.07 (assume-push @p105 @t54) % 30.85/31.07 (assume-push @p106 @t51) % 30.85/31.07 (assume-push @p107 @t49) % 30.85/31.07 (assume-push @p108 @t46) % 30.85/31.07 (assume-push @p109 @t41) % 30.85/31.07 (assume-push @p110 @t35) % 30.85/31.07 (step @p43 :rule bool-eq-false :args (@t35)) % 30.85/31.07 (step @p44 :rule symm :premises (@p43)) % 30.85/31.07 (step @p45 :rule eq-symm :args (@t34 @t25)) % 30.85/31.07 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 30.85/31.07 (step @p47 :rule bool-eq-false :args (@t60)) % 30.85/31.07 (step @p48 :rule trans :premises (@p47 @p46)) % 30.85/31.07 (step @p49 :rule trans :premises (@p48 @p44)) % 30.85/31.07 (step @p50 :rule false_intro :premises (@p17)) % 30.85/31.07 (step @p51 :rule refl :args (@t25)) % 30.85/31.07 (step @p52 :rule symm :premises (@p23)) % 30.85/31.07 (step @p53 :rule symm :premises (@p18)) % 30.85/31.07 (step @p54 :rule refl :args (@t30)) % 30.85/31.07 (step @p55 :rule symm :premises (@p25)) % 30.85/31.07 (step @p56 :rule cong :premises (@p55 @p54) :args (@t40)) % 30.85/31.07 (step @p57 :rule symm :premises (@p27)) % 30.85/31.07 (step @p58 :rule cong :premises (@p24 @p19) :args (@t45)) % 30.85/31.07 (step @p59 :rule trans :premises (@p26 @p58 @p57 @p56 @p53)) % 30.85/31.07 (step @p60 :rule cong :premises (@p59) :args (@t34)) % 30.85/31.07 (step @p61 :rule trans :premises (@p60 @p52)) % 30.85/31.07 (step @p62 :rule cong :premises (@p61 @p51) :args (@t60)) % 30.85/31.07 (step @p63 :rule trans :premises (@p62 @p50)) % 30.85/31.07 (step @p80 :rule eq_resolve :premises (@p63 @p49)) % 30.85/31.07 (step @p81 :rule false_elim :premises (@p80)) % 30.85/31.07 (step @p82 :rule and_intro :premises (@p81 @p28)) % 30.85/31.07 (step-pop @p111 :rule scope :premises (@p82)) % 30.85/31.07 (step-pop @p112 :rule scope :premises (@p111)) % 30.85/31.07 (step-pop @p113 :rule scope :premises (@p112)) % 30.85/31.07 (step-pop @p114 :rule scope :premises (@p113)) % 30.85/31.07 (step-pop @p115 :rule scope :premises (@p114)) % 30.85/31.07 (step-pop @p116 :rule scope :premises (@p115)) % 30.85/31.07 (step-pop @p117 :rule scope :premises (@p116)) % 30.85/31.07 (step-pop @p118 :rule scope :premises (@p117)) % 30.85/31.07 (step-pop @p119 :rule scope :premises (@p118)) % 30.85/31.07 (step @p83 :rule process_scope :premises (@p119) :args (@t62)) % 30.85/31.07 (step @p93 :rule implies_elim :premises (@p83)) % 30.85/31.07 (step @p94 :rule resolution :premises (@p93 @p68) :args (true @t62)) % 30.85/31.07 (step @p95 :rule not_and :premises (@p94)) % 30.85/31.07 (step @p96 :rule eq_resolve :premises (@p95 @p38)) % 30.85/31.07 (step @p97 false :rule chain_m_resolution :premises (@p96 @p28 @p27 @p26 @p25 @p24 @p23 @p19 @p18 @p17) :args (false (@list false false false false false false false false true) (@list @t35 @t41 @t46 @t49 @t51 @t54 @t56 @t58 @t28))) % 30.85/31.07 ) % 30.85/31.08 % SZS output end Proof % 30.85/31.08 % cvc5 exiting %------------------------------------------------------------------------------