%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN950+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 : n016.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 09:10:07 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN950+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:50:24 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.q (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.31/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.31/0.56 (define @t2 () (tptp.p @t1)) % 0.31/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t4 () (tptp.q @t3)) % 0.31/0.56 (define @t5 () (=> @t4 @t2)) % 0.31/0.56 (define @t6 () (@var "A" $$unsorted)) % 0.31/0.56 (define @t7 () (tptp.p @t6)) % 0.31/0.56 (define @t8 () (tptp.p @t3)) % 0.31/0.56 (define @t9 () (=> @t8 @t7)) % 0.31/0.56 (define @t10 () (and @t9 @t5)) % 0.31/0.56 (define @t11 () (@list @t3)) % 0.31/0.56 (define @t12 () (exists @t11 @t10)) % 0.31/0.56 (define @t13 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t14 () (tptp.p @t13)) % 0.31/0.56 (define @t15 () (tptp.q @t13)) % 0.31/0.56 (define @t16 () (@list @t13)) % 0.31/0.56 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.31/0.56 (define @t18 () (=> @t17 @t12)) % 0.31/0.56 (define @t19 () (@list @t6 @t1)) % 0.31/0.56 (define @t20 () (forall @t19 @t18)) % 0.31/0.56 (define @t21 () (not @t20)) % 0.31/0.56 (define @t22 () (not (forall @t11 (or (and @t8 (not @t7)) (and @t4 (not @t2)))))) % 0.31/0.56 (define @t23 () (forall @t19 @t22)) % 0.31/0.56 (define @t24 () (forall @t16 (or (not @t15) @t14))) % 0.31/0.56 (define @t25 () (not @t24)) % 0.31/0.56 (define @t26 () (forall @t11 (not @t10))) % 0.31/0.56 (define @t27 () (not @t26)) % 0.31/0.56 (define @t28 () (@quantifiers_skolemize @t23 1)) % 0.31/0.56 (define @t29 () (@list @t28)) % 0.31/0.56 (define @t30 () (tptp.p @t28)) % 0.31/0.56 (define @t31 () (not @t30)) % 0.31/0.56 (define @t32 () (@quantifiers_skolemize @t23 0)) % 0.31/0.56 (define @t33 () (tptp.p @t32)) % 0.31/0.56 (define @t34 () (not @t33)) % 0.31/0.56 (define @t35 () (forall @t11 (or (and @t8 @t34) (and @t4 @t31)))) % 0.31/0.56 (define @t36 () (not @t23)) % 0.31/0.56 (define @t37 () (not (not @t35))) % 0.31/0.56 (define @t38 () (@list true)) % 0.31/0.56 (define @t39 () (and @t33 @t34)) % 0.31/0.56 (define @t40 () (not @t39)) % 0.31/0.56 (define @t41 () (@list false)) % 0.31/0.56 (define @t42 () (and (tptp.q @t32) @t31)) % 0.31/0.56 (define @t43 () (or @t39 @t42)) % 0.31/0.56 (define @t44 () (@list true false)) % 0.31/0.56 (define @t45 () (tptp.q @t28)) % 0.31/0.56 (define @t46 () (not @t45)) % 0.31/0.56 (define @t47 () (or @t46 @t30)) % 0.31/0.56 (define @t48 () (and @t30 @t34)) % 0.31/0.56 (define @t49 () (not @t48)) % 0.31/0.56 (define @t50 () (and @t45 @t31)) % 0.31/0.56 (define @t51 () (or @t48 @t50)) % 0.31/0.56 (assume @p1 @t21) % 0.31/0.56 (assume @p2 true) % 0.31/0.56 (step @p3 :rule quant-miniscope-or :args ((= (forall @t19 (or @t25 @t22)) (or @t25 @t23)))) % 0.31/0.56 (step @p4 :rule bool-impl-elim :args (@t24 @t22)) % 0.31/0.56 (step @p5 :rule cong :premises (@p4) :args ((forall @t19 (=> @t24 @t22)))) % 0.31/0.56 (step @p6 :rule trans :premises (@p5 @p3)) % 0.31/0.56 (step @p7 :rule bool-implies-de-morgan :args (@t4 @t2)) % 0.31/0.56 (step @p8 :rule bool-implies-de-morgan :args (@t8 @t7)) % 0.31/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t9) (not @t5)))) % 0.31/0.56 (step @p10 :rule bool-and-de-morgan :args (@t9 @t5 true)) % 0.31/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.31/0.56 (step @p12 :rule cong :premises (@p11) :args (@t26)) % 0.31/0.56 (step @p13 :rule cong :premises (@p12) :args (@t27)) % 0.31/0.56 (step @p14 :rule exists-elim :args ((= @t12 @t27))) % 0.31/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.31/0.56 (step @p16 :rule bool-impl-elim :args (@t15 @t14)) % 0.31/0.56 (step @p17 :rule cong :premises (@p16) :args (@t17)) % 0.31/0.56 (step @p18 :rule cong :premises (@p17 @p15) :args (@t18)) % 0.31/0.56 (step @p19 :rule cong :premises (@p18) :args (@t20)) % 0.31/0.56 (step @p20 :rule trans :premises (@p19 @p6)) % 0.31/0.56 (step @p21 :rule cong :premises (@p20) :args (@t21)) % 0.31/0.56 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.31/0.56 (step @p23 :rule not_or_elim :premises (@p22) :args (0)) % 0.31/0.56 (step @p24 :rule not_not_elim :premises (@p23)) % 0.31/0.56 (step @p25 :rule instantiate :premises (@p24) :args (@t29)) % 0.31/0.56 (step @p26 :rule not_or_elim :premises (@p22) :args (1)) % 0.31/0.56 (step @p27 :rule refl :args (@t35)) % 0.31/0.56 (step @p28 :rule bool-double-not-elim :args (@t23)) % 0.31/0.56 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t36) @t35))) % 0.31/0.56 (step @p30 :rule bool-double-not-elim :args (@t35)) % 0.31/0.56 (step @p31 :rule refl :args (@t36)) % 0.31/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t36 @t37))) % 0.31/0.56 (assume-push @p66 @t36) % 0.31/0.56 (step @p34 :rule skolemize :premises (@p26)) % 0.31/0.56 (step-pop @p67 :rule scope :premises (@p34)) % 0.31/0.56 (step @p35 :rule process_scope :premises (@p67) :args (@t37)) % 0.31/0.56 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.31/0.56 (step @p38 :rule implies_elim :premises (@p37)) % 0.31/0.56 (step @p39 :rule eq_resolve :premises (@p38 @p29)) % 0.31/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p26) :args (@t35 @t38 (@list @t23))) % 0.38/0.56 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t32))) % 0.38/0.56 (step @p42 :rule cnf_and_pos :args (@t39 0)) % 0.38/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t33 @t40))) % 0.38/0.56 (step @p44 :rule cnf_and_pos :args (@t39 1)) % 0.38/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t34 @t40))) % 0.38/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p43) :args (@t40 @t41 (@list @t33))) % 0.38/0.56 (step @p47 :rule cnf_or_pos :args (@t43)) % 0.38/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t39 @t42 (not @t43)))) % 0.38/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p41) :args (@t42 @t44 (@list @t39 @t43))) % 0.38/0.56 (step @p50 :rule cnf_and_pos :args (@t42 1)) % 0.38/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t31 (not @t42)))) % 0.38/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p49) :args (@t31 @t41 (@list @t42))) % 0.38/0.56 (step @p53 :rule cnf_or_pos :args (@t47)) % 0.38/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t30 @t46 (not @t47)))) % 0.38/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p25) :args (@t46 @t44 (@list @t30 @t47))) % 0.38/0.56 (step @p56 :rule instantiate :premises (@p40) :args (@t29)) % 0.38/0.56 (step @p57 :rule cnf_and_pos :args (@t48 0)) % 0.38/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t30 @t49))) % 0.38/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t49 @t38 (@list @t30))) % 0.38/0.56 (step @p60 :rule cnf_or_pos :args (@t51)) % 0.38/0.56 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t50 (not @t51)))) % 0.38/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p56) :args (@t50 @t44 (@list @t48 @t51))) % 0.38/0.56 (step @p63 :rule cnf_and_pos :args (@t50 0)) % 0.38/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t45 (not @t50)))) % 0.38/0.56 (step @p65 false :rule chain_m_resolution :premises (@p64 @p62 @p55) :args (false (@list false true) (@list @t50 @t45))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------