%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL046+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 : n014.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 08:45:04 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL046+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 % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:52:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.top $$unsorted) % 0.36/0.58 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.one $$unsorted) % 0.36/0.58 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.zero $$unsorted) % 0.36/0.58 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (@var "X0" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "X1" $$unsorted)) % 0.36/0.58 (define @t3 () (tptp.join @t1 @t2)) % 0.36/0.58 (define @t4 () (@list @t1 @t2)) % 0.36/0.58 (define @t5 () (@var "X2" $$unsorted)) % 0.36/0.58 (define @t6 () (@list @t1 @t2 @t5)) % 0.36/0.58 (define @t7 () (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 0.36/0.58 (define @t8 () (tptp.complement @t1)) % 0.36/0.58 (define @t9 () (tptp.complement @t2)) % 0.36/0.58 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 0.36/0.58 (define @t11 () (tptp.meet @t1 @t2)) % 0.36/0.58 (define @t12 () (forall @t4 (= @t11 @t10))) % 0.36/0.58 (define @t13 () (tptp.composition @t1 @t2)) % 0.36/0.58 (define @t14 () (tptp.composition @t2 @t5)) % 0.36/0.58 (define @t15 () (@list @t1)) % 0.36/0.58 (define @t16 () (tptp.converse @t1)) % 0.36/0.58 (define @t17 () (tptp.converse @t2)) % 0.36/0.58 (define @t18 () (tptp.join @t1 @t5)) % 0.36/0.58 (define @t19 () (and (= @t3 @t2) (= @t18 @t5))) % 0.36/0.58 (define @t20 () (tptp.meet @t2 @t5)) % 0.36/0.58 (define @t21 () (tptp.join @t1 @t20)) % 0.36/0.58 (define @t22 () (=> (= @t21 @t20) @t19)) % 0.36/0.58 (define @t23 () (forall @t6 @t22)) % 0.36/0.58 (define @t24 () (not @t23)) % 0.36/0.58 (define @t25 () (and (= @t2 @t3) (= @t5 @t18))) % 0.36/0.58 (define @t26 () (= @t20 @t21)) % 0.36/0.58 (define @t27 () (forall @t6 (or (not @t26) @t25))) % 0.36/0.58 (define @t28 () (@quantifiers_skolemize @t27 1)) % 0.36/0.58 (define @t29 () (@quantifiers_skolemize @t27 2)) % 0.36/0.58 (define @t30 () (tptp.complement @t29)) % 0.36/0.58 (define @t31 () (tptp.complement (tptp.join @t30 @t28))) % 0.36/0.58 (define @t32 () (tptp.complement @t28)) % 0.36/0.58 (define @t33 () (tptp.complement (tptp.join @t30 @t32))) % 0.36/0.58 (define @t34 () (@quantifiers_skolemize @t27 0)) % 0.36/0.58 (define @t35 () (tptp.join @t34 @t33)) % 0.36/0.58 (define @t36 () (tptp.join @t35 @t31)) % 0.36/0.58 (define @t37 () (tptp.join @t34 (tptp.join @t33 @t31))) % 0.36/0.58 (define @t38 () (= @t37 @t36)) % 0.36/0.58 (define @t39 () (= @t36 @t37)) % 0.36/0.58 (define @t40 () (@list @t28 @t29)) % 0.36/0.58 (define @t41 () (tptp.complement (tptp.join @t32 @t29))) % 0.36/0.58 (define @t42 () (tptp.complement (tptp.join @t32 @t30))) % 0.36/0.58 (define @t43 () (tptp.join @t42 @t41)) % 0.36/0.58 (define @t44 () (tptp.meet @t28 @t29)) % 0.36/0.58 (define @t45 () (forall @t4 (= @t10 @t11))) % 0.36/0.58 (define @t46 () (= @t42 @t44)) % 0.36/0.58 (define @t47 () (tptp.join @t34 @t44)) % 0.36/0.58 (define @t48 () (= @t44 @t47)) % 0.36/0.58 (define @t49 () (= @t29 (tptp.join @t34 @t29))) % 0.36/0.58 (define @t50 () (= @t28 (tptp.join @t34 @t28))) % 0.36/0.58 (define @t51 () (and @t50 @t49)) % 0.36/0.58 (define @t52 () (not @t48)) % 0.36/0.58 (define @t53 () (or @t52 @t51)) % 0.36/0.58 (define @t54 () (@list true)) % 0.36/0.58 (define @t55 () (@list @t53)) % 0.36/0.58 (define @t56 () (@list true false)) % 0.36/0.58 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 0.36/0.58 (assume @p2 @t7) % 0.36/0.58 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 0.36/0.58 (assume @p4 @t12) % 0.36/0.58 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t14) (tptp.composition @t13 @t5)))) % 0.36/0.58 (assume @p6 (forall @t15 (= (tptp.composition @t1 tptp.one) @t1))) % 0.36/0.58 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t14)))) % 0.36/0.58 (assume @p8 (forall @t15 (= (tptp.converse @t16) @t1))) % 0.36/0.58 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t16 @t17)))) % 0.36/0.58 (assume @p10 (forall @t4 (= (tptp.converse @t13) (tptp.composition @t17 @t16)))) % 0.36/0.58 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t16 (tptp.complement @t13)) @t9) @t9))) % 0.36/0.58 (assume @p12 (forall @t15 (= tptp.top (tptp.join @t1 @t8)))) % 0.36/0.58 (assume @p13 (forall @t15 (= tptp.zero (tptp.meet @t1 @t8)))) % 0.36/0.58 (assume @p14 @t24) % 0.36/0.58 (assume @p15 true) % 0.36/0.58 (step @p16 :rule bool-eq-false :args (@t38)) % 0.36/0.58 (step @p17 :rule symm :premises (@p16)) % 0.36/0.58 (step @p18 :rule eq-symm :args (@t36 @t37)) % 0.36/0.58 (step @p19 :rule cong :premises (@p18) :args ((not @t39))) % 0.36/0.58 (step @p20 :rule bool-eq-false :args (@t39)) % 0.36/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.58 (step @p22 :rule trans :premises (@p21 @p17)) % 0.36/0.59 (step @p23 :rule instantiate :premises (@p3) :args (@t40)) % 0.36/0.59 (step @p24 :rule symm :premises (@p23)) % 0.36/0.59 (step @p25 :rule refl :args (@t34)) % 0.36/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args ((tptp.join @t34 @t43))) % 0.36/0.59 (step @p27 :rule instantiate :premises (@p2) :args ((@list @t34 @t42 @t41))) % 0.36/0.59 (step @p28 :rule symm :premises (@p27)) % 0.36/0.59 (step @p29 :rule refl :args (@t41)) % 0.36/0.59 (step @p30 :rule eq-symm :args (@t11 @t10)) % 0.36/0.59 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.36/0.59 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 0.36/0.59 (step @p33 :rule eq-symm :args (@t42 @t44)) % 0.36/0.59 (step @p34 :rule refl :args (@t45)) % 0.36/0.59 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t45 @t46))) % 0.36/0.59 (assume-push @p96 @t45) % 0.36/0.59 (step @p37 :rule instantiate :premises (@p32) :args (@t40)) % 0.36/0.59 (step-pop @p97 :rule scope :premises (@p37)) % 0.36/0.59 (step @p38 :rule process_scope :premises (@p97) :args (@t46)) % 0.36/0.59 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.36/0.59 (step @p41 :rule implies_elim :premises (@p40)) % 0.36/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p32) :args ((= @t44 @t42) (@list false) (@list @t45))) % 0.36/0.59 (step @p43 :rule cong :premises (@p25 @p42) :args (@t47)) % 0.36/0.59 (step @p44 :rule bool-impl-elim :args (@t26 @t25)) % 0.36/0.59 (step @p45 :rule cong :premises (@p44) :args ((forall @t6 (=> @t26 @t25)))) % 0.36/0.59 (step @p46 :rule eq-symm :args (@t18 @t5)) % 0.36/0.59 (step @p47 :rule eq-symm :args (@t3 @t2)) % 0.36/0.59 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t19)) % 0.36/0.59 (step @p49 :rule eq-symm :args (@t21 @t20)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49 @p48) :args (@t22)) % 0.36/0.59 (step @p51 :rule cong :premises (@p50) :args (@t23)) % 0.36/0.59 (step @p52 :rule trans :premises (@p51 @p45)) % 0.36/0.59 (step @p53 :rule cong :premises (@p52) :args (@t24)) % 0.36/0.59 (step @p54 :rule eq_resolve :premises (@p14 @p53)) % 0.36/0.59 (step @p55 :rule skolemize :premises (@p54)) % 0.36/0.59 (step @p56 :rule bool-double-not-elim :args (@t48)) % 0.36/0.59 (step @p57 :rule refl :args (@t53)) % 0.36/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t53 (not @t52)))) % 0.36/0.59 (step @p59 :rule cnf_or_neg :args (@t53 0)) % 0.36/0.59 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.36/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t53))) % 0.36/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t48 @t54 @t55)) % 0.36/0.59 (step @p63 :rule trans :premises (@p62 @p43)) % 0.36/0.59 (step @p37 :rule instantiate :premises (@p32) :args (@t40)) % 0.36/0.59 (step @p64 :rule trans :premises (@p37 @p63)) % 0.36/0.59 (step @p65 :rule cong :premises (@p64 @p29) :args (@t43)) % 0.36/0.59 (step @p66 :rule trans :premises (@p23 @p65 @p28 @p26)) % 0.36/0.59 (step @p67 :rule cnf_or_neg :args (@t53 1)) % 0.36/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p55) :args ((not @t51) @t54 @t55)) % 0.36/0.59 (step @p69 :rule cnf_and_neg :args (@t51)) % 0.36/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p68 @p66) :args ((not @t49) @t56 (@list @t51 @t50))) % 0.36/0.59 (step @p71 :rule false_intro :premises (@p70)) % 0.36/0.59 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t29 @t28))) % 0.36/0.59 (step @p73 :rule symm :premises (@p72)) % 0.36/0.59 (step @p74 :rule cong :premises (@p25 @p73) :args (@t37)) % 0.36/0.59 (step @p75 :rule refl :args (@t31)) % 0.36/0.59 (step @p76 :rule instantiate :premises (@p1) :args ((@list @t32 @t30))) % 0.36/0.59 (step @p77 :rule cong :premises (@p76) :args (@t42)) % 0.36/0.59 (step @p78 :rule trans :premises (@p42 @p77)) % 0.36/0.59 (step @p79 :rule symm :premises (@p62)) % 0.36/0.59 (step @p80 :rule symm :premises (@p78)) % 0.36/0.59 (step @p81 :rule cong :premises (@p25 @p80) :args (@t35)) % 0.36/0.59 (step @p82 :rule trans :premises (@p81 @p79)) % 0.36/0.59 (step @p83 :rule trans :premises (@p82 @p78)) % 0.36/0.59 (step @p84 :rule cong :premises (@p83 @p75) :args (@t36)) % 0.36/0.59 (step @p85 :rule trans :premises (@p84 @p73)) % 0.36/0.59 (step @p86 :rule cong :premises (@p85 @p74) :args (@t39)) % 0.36/0.59 (step @p87 :rule trans :premises (@p86 @p71)) % 0.36/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p22)) % 0.36/0.59 (step @p89 :rule false_elim :premises (@p88)) % 0.36/0.59 (assume-push @p98 @t7) % 0.36/0.59 (step @p91 :rule instantiate :premises (@p2) :args ((@list @t34 @t33 @t31))) % 0.36/0.59 (step-pop @p99 :rule scope :premises (@p91)) % 0.36/0.59 (step @p92 :rule process_scope :premises (@p99) :args (@t38)) % 0.36/0.59 (step @p94 :rule implies_elim :premises (@p92)) % 0.36/0.59 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p2) :args (false @t56 (@list @t38 @t7))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------