%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN939+1 : TPTP v9.2.1. Released v3.1.0. % 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 09:10:06 AM UTC 2026 % Result : Theorem 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN939+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:48:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.p (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.r (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.q (-> $$unsorted Bool)) % 0.14/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.14/0.36 (define @t2 () (tptp.q @t1)) % 0.14/0.36 (define @t3 () (@var "C" $$unsorted)) % 0.14/0.36 (define @t4 () (tptp.r @t3)) % 0.14/0.36 (define @t5 () (@var "B" $$unsorted)) % 0.14/0.36 (define @t6 () (tptp.r @t5)) % 0.14/0.36 (define @t7 () (and @t6 @t4)) % 0.14/0.36 (define @t8 () (@var "Y" $$unsorted)) % 0.14/0.36 (define @t9 () (tptp.r @t8)) % 0.14/0.36 (define @t10 () (=> @t9 @t7)) % 0.14/0.36 (define @t11 () (tptp.p @t1)) % 0.14/0.36 (define @t12 () (tptp.p (tptp.f @t8))) % 0.14/0.36 (define @t13 () (=> @t12 @t11)) % 0.14/0.36 (define @t14 () (and @t13 @t10 @t2)) % 0.14/0.36 (define @t15 () (@list @t1 @t8)) % 0.14/0.36 (define @t16 () (exists @t15 @t14)) % 0.14/0.36 (define @t17 () (@var "Z" $$unsorted)) % 0.14/0.36 (define @t18 () (forall (@list @t17) (tptp.q (tptp.f @t17)))) % 0.14/0.36 (define @t19 () (=> @t18 @t16)) % 0.14/0.36 (define @t20 () (@list @t3 @t5)) % 0.14/0.36 (define @t21 () (forall @t20 @t19)) % 0.14/0.36 (define @t22 () (not @t21)) % 0.14/0.36 (define @t23 () (not @t2)) % 0.14/0.36 (define @t24 () (and @t12 (not @t11))) % 0.14/0.36 (define @t25 () (not (forall @t15 (or @t24 (and @t9 (or (not @t6) (not @t4))) @t23)))) % 0.14/0.36 (define @t26 () (forall @t20 @t25)) % 0.14/0.36 (define @t27 () (not @t18)) % 0.14/0.36 (define @t28 () (not @t10)) % 0.14/0.36 (define @t29 () (not @t13)) % 0.14/0.36 (define @t30 () (or @t29 @t28 @t23)) % 0.14/0.36 (define @t31 () (forall @t15 (not @t14))) % 0.14/0.36 (define @t32 () (not @t31)) % 0.14/0.36 (define @t33 () (@quantifiers_skolemize @t26 1)) % 0.14/0.36 (define @t34 () (@quantifiers_skolemize @t26 0)) % 0.14/0.36 (define @t35 () (tptp.r @t34)) % 0.14/0.36 (define @t36 () (not @t35)) % 0.14/0.36 (define @t37 () (tptp.r @t33)) % 0.14/0.36 (define @t38 () (not @t37)) % 0.14/0.36 (define @t39 () (or @t38 @t36)) % 0.14/0.36 (define @t40 () (forall @t15 (or @t24 (and @t9 @t39) @t23))) % 0.14/0.36 (define @t41 () (not @t26)) % 0.14/0.36 (define @t42 () (not (not @t40))) % 0.14/0.36 (define @t43 () (@list true)) % 0.14/0.36 (define @t44 () (tptp.f @t34)) % 0.14/0.36 (define @t45 () (tptp.p @t44)) % 0.14/0.36 (define @t46 () (not @t45)) % 0.14/0.36 (define @t47 () (and @t45 @t46)) % 0.14/0.36 (define @t48 () (not @t47)) % 0.14/0.36 (define @t49 () (@list false)) % 0.14/0.36 (define @t50 () (tptp.q @t44)) % 0.14/0.36 (define @t51 () (not @t50)) % 0.14/0.36 (define @t52 () (and @t35 @t39)) % 0.14/0.36 (define @t53 () (or @t47 @t52 @t51)) % 0.14/0.36 (define @t54 () (@list false true false)) % 0.14/0.36 (define @t55 () (not @t52)) % 0.14/0.36 (define @t56 () (@list @t52)) % 0.14/0.36 (define @t57 () (and @t37 @t39)) % 0.14/0.36 (define @t58 () (not @t57)) % 0.14/0.36 (define @t59 () (tptp.f @t33)) % 0.14/0.36 (define @t60 () (tptp.p @t59)) % 0.14/0.36 (define @t61 () (and @t60 @t46)) % 0.14/0.36 (define @t62 () (or @t61 @t57 @t51)) % 0.14/0.36 (define @t63 () (not @t60)) % 0.14/0.36 (define @t64 () (and @t60 @t63)) % 0.14/0.36 (define @t65 () (not @t64)) % 0.14/0.36 (define @t66 () (tptp.q @t59)) % 0.14/0.36 (define @t67 () (not @t66)) % 0.14/0.36 (define @t68 () (or @t64 @t57 @t67)) % 0.14/0.36 (assume @p1 @t22) % 0.14/0.36 (assume @p2 true) % 0.14/0.36 (step @p3 :rule quant-miniscope-or :args ((= (forall @t20 (or @t27 @t25)) (or @t27 @t26)))) % 0.14/0.36 (step @p4 :rule bool-impl-elim :args (@t18 @t25)) % 0.14/0.36 (step @p5 :rule cong :premises (@p4) :args ((forall @t20 (=> @t18 @t25)))) % 0.14/0.36 (step @p6 :rule trans :premises (@p5 @p3)) % 0.14/0.36 (step @p7 :rule refl :args (@t23)) % 0.14/0.36 (step @p8 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.14/0.36 (step @p9 :rule refl :args (@t9)) % 0.14/0.36 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and @t9 (not @t7)))) % 0.14/0.36 (step @p11 :rule bool-implies-de-morgan :args (@t9 @t7)) % 0.14/0.36 (step @p12 :rule trans :premises (@p11 @p10)) % 0.14/0.36 (step @p13 :rule bool-implies-de-morgan :args (@t12 @t11)) % 0.14/0.36 (step @p14 :rule nary_cong :premises (@p13 @p12 @p7) :args (@t30)) % 0.14/0.36 (step @p15 :rule aci_norm :args ((= (or @t29 (or @t28 @t23)) @t30))) % 0.14/0.36 (step @p16 :rule bool-and-de-morgan :args (@t10 @t2 true)) % 0.14/0.36 (step @p17 :rule refl :args (@t29)) % 0.14/0.36 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t29 (not (and @t10 @t2))))) % 0.14/0.36 (step @p19 :rule bool-and-de-morgan :args (@t13 @t10 (and @t2))) % 0.14/0.36 (step @p20 :rule trans :premises (@p19 @p18)) % 0.14/0.36 (step @p21 :rule trans :premises (@p20 @p15)) % 0.14/0.36 (step @p22 :rule trans :premises (@p21 @p14)) % 0.14/0.36 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.14/0.36 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.14/0.36 (step @p25 :rule exists-elim :args ((= @t16 @t32))) % 0.14/0.36 (step @p26 :rule trans :premises (@p25 @p24)) % 0.14/0.36 (step @p27 :rule refl :args (@t18)) % 0.14/0.36 (step @p28 :rule cong :premises (@p27 @p26) :args (@t19)) % 0.14/0.36 (step @p29 :rule cong :premises (@p28) :args (@t21)) % 0.14/0.36 (step @p30 :rule trans :premises (@p29 @p6)) % 0.14/0.36 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 0.14/0.36 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.14/0.36 (step @p33 :rule not_or_elim :premises (@p32) :args (0)) % 0.14/0.36 (step @p34 :rule not_not_elim :premises (@p33)) % 0.14/0.36 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t33))) % 0.14/0.36 (step @p36 :rule not_or_elim :premises (@p32) :args (1)) % 0.14/0.36 (step @p37 :rule refl :args (@t40)) % 0.14/0.36 (step @p38 :rule bool-double-not-elim :args (@t26)) % 0.14/0.36 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t41) @t40))) % 0.14/0.36 (step @p40 :rule bool-double-not-elim :args (@t40)) % 0.14/0.36 (step @p41 :rule refl :args (@t41)) % 0.14/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t41 @t42))) % 0.14/0.36 (assume-push @p87 @t41) % 0.14/0.36 (step @p44 :rule skolemize :premises (@p36)) % 0.14/0.36 (step-pop @p88 :rule scope :premises (@p44)) % 0.14/0.36 (step @p45 :rule process_scope :premises (@p88) :args (@t42)) % 0.14/0.36 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.14/0.36 (step @p48 :rule implies_elim :premises (@p47)) % 0.14/0.36 (step @p49 :rule eq_resolve :premises (@p48 @p39)) % 0.14/0.36 (step @p50 :rule chain_m_resolution :premises (@p49 @p36) :args (@t40 @t43 (@list @t26))) % 0.14/0.36 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t44 @t34))) % 0.14/0.36 (step @p52 :rule cnf_and_pos :args (@t47 0)) % 0.14/0.36 (step @p53 :rule reordering :premises (@p52) :args ((or @t45 @t48))) % 0.14/0.36 (step @p54 :rule cnf_and_pos :args (@t47 1)) % 0.14/0.36 (step @p55 :rule reordering :premises (@p54) :args ((or @t46 @t48))) % 0.14/0.36 (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t48 @t49 (@list @t45))) % 0.14/0.36 (step @p57 :rule instantiate :premises (@p34) :args ((@list @t34))) % 0.14/0.36 (step @p58 :rule cnf_or_pos :args (@t53)) % 0.14/0.36 (step @p59 :rule reordering :premises (@p58) :args ((or @t52 @t51 @t47 (not @t53)))) % 0.14/0.36 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56 @p51) :args (@t52 @t54 (@list @t50 @t47 @t53))) % 0.14/0.36 (step @p61 :rule cnf_and_pos :args (@t52 1)) % 0.14/0.36 (step @p62 :rule reordering :premises (@p61) :args ((or @t39 @t55))) % 0.14/0.36 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t39 @t49 @t56)) % 0.14/0.36 (step @p64 :rule cnf_and_pos :args (@t52 0)) % 0.14/0.36 (step @p65 :rule reordering :premises (@p64) :args ((or @t35 @t55))) % 0.14/0.36 (step @p66 :rule chain_m_resolution :premises (@p65 @p60) :args (@t35 @t49 @t56)) % 0.14/0.36 (step @p67 :rule cnf_or_pos :args (@t39)) % 0.14/0.36 (step @p68 :rule reordering :premises (@p67) :args ((or @t38 @t36 (not @t39)))) % 0.14/0.36 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p63) :args (@t38 (@list false false) (@list @t35 @t39))) % 0.14/0.36 (step @p70 :rule cnf_and_pos :args (@t57 0)) % 0.14/0.36 (step @p71 :rule reordering :premises (@p70) :args ((or @t37 @t58))) % 0.14/0.36 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t58 @t43 (@list @t37))) % 0.14/0.36 (step @p73 :rule instantiate :premises (@p50) :args ((@list @t44 @t33))) % 0.14/0.36 (step @p74 :rule cnf_or_pos :args (@t62)) % 0.14/0.36 (step @p75 :rule reordering :premises (@p74) :args ((or @t51 @t57 @t61 (not @t62)))) % 0.14/0.36 (step @p76 :rule chain_m_resolution :premises (@p75 @p57 @p72 @p73) :args (@t61 @t54 (@list @t50 @t57 @t62))) % 0.14/0.36 (step @p77 :rule cnf_and_pos :args (@t61 0)) % 0.14/0.36 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 (not @t61)))) % 0.14/0.36 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t60 @t49 (@list @t61))) % 0.14/0.36 (step @p80 :rule cnf_and_pos :args (@t64 1)) % 0.14/0.36 (step @p81 :rule reordering :premises (@p80) :args ((or @t63 @t65))) % 0.14/0.36 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t65 @t49 (@list @t60))) % 0.14/0.36 (step @p83 :rule instantiate :premises (@p50) :args ((@list @t59 @t33))) % 0.14/0.36 (step @p84 :rule cnf_or_pos :args (@t68)) % 0.14/0.36 (step @p85 :rule reordering :premises (@p84) :args ((or @t57 @t67 @t64 (not @t68)))) % 0.14/0.36 (step @p86 false :rule chain_m_resolution :premises (@p85 @p83 @p82 @p72 @p35) :args (false (@list false true true false) (@list @t68 @t64 @t57 @t66))) % 0.14/0.36 ) % 0.14/0.36 % SZS output end Proof % 0.14/0.36 % cvc5 exiting %------------------------------------------------------------------------------