%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN970+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:10:09 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN970+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.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 23:50:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.r (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.r @t1)) % 0.37/0.56 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.p @t3)) % 0.37/0.56 (define @t5 () (=> @t4 @t2)) % 0.37/0.56 (define @t6 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t7 () (tptp.r @t6)) % 0.37/0.56 (define @t8 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t9 () (tptp.p @t8)) % 0.37/0.56 (define @t10 () (=> @t9 @t7)) % 0.37/0.56 (define @t11 () (=> @t10 @t5)) % 0.37/0.56 (define @t12 () (@list @t8 @t6)) % 0.37/0.56 (define @t13 () (exists @t12 @t11)) % 0.37/0.56 (define @t14 () (@list @t3 @t1)) % 0.37/0.56 (define @t15 () (forall @t14 @t13)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (forall (@list @t1) @t2)) % 0.37/0.56 (define @t18 () (not @t4)) % 0.37/0.56 (define @t19 () (forall (@list @t3) @t18)) % 0.37/0.56 (define @t20 () (@var "BOUND_VARIABLE_7438" $$unsorted)) % 0.37/0.56 (define @t21 () (tptp.r @t20)) % 0.37/0.56 (define @t22 () (forall (@list @t20) @t21)) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (@var "BOUND_VARIABLE_7436" $$unsorted)) % 0.37/0.56 (define @t25 () (not (tptp.p @t24))) % 0.37/0.56 (define @t26 () (forall (@list @t24) @t25)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (and @t27 @t23)) % 0.37/0.56 (define @t29 () (or @t26 @t22)) % 0.37/0.56 (define @t30 () (not @t29)) % 0.37/0.56 (define @t31 () (not @t2)) % 0.37/0.56 (define @t32 () (not @t31)) % 0.37/0.56 (define @t33 () (or @t30 @t18 @t32)) % 0.37/0.56 (define @t34 () (and @t4 @t31)) % 0.37/0.56 (define @t35 () (forall (@list @t24 @t20) (or @t25 @t21))) % 0.37/0.56 (define @t36 () (forall @t12 @t31)) % 0.37/0.56 (define @t37 () (forall @t12 @t4)) % 0.37/0.56 (define @t38 () (or (not @t9) @t7)) % 0.37/0.56 (define @t39 () (forall @t12 @t38)) % 0.37/0.56 (define @t40 () (and @t39 @t37 @t36)) % 0.37/0.56 (define @t41 () (and @t38 @t4 @t31)) % 0.37/0.56 (define @t42 () (forall @t12 (not @t11))) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (define @t44 () (@list true)) % 0.37/0.56 (define @t45 () (@list false)) % 0.37/0.56 (assume @p1 @t16) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule quant-miniscope-or :args ((= (forall @t14 (or @t28 @t18 @t2)) (or @t28 @t19 @t17)))) % 0.37/0.56 (step @p4 :rule refl :args (@t2)) % 0.37/0.56 (step @p5 :rule refl :args (@t18)) % 0.37/0.56 (step @p6 :rule bool-or-de-morgan :args (@t26 @t22 false)) % 0.37/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args ((or @t30 @t18 @t2))) % 0.37/0.56 (step @p8 :rule bool-double-not-elim :args (@t2)) % 0.37/0.56 (step @p9 :rule refl :args (@t30)) % 0.37/0.56 (step @p10 :rule nary_cong :premises (@p9 @p5 @p8) :args (@t33)) % 0.37/0.56 (step @p11 :rule aci_norm :args ((= (or @t30 (or @t18 @t32)) @t33))) % 0.37/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.56 (step @p13 :rule bool-and-de-morgan :args (@t4 @t31 true)) % 0.37/0.56 (step @p14 :rule nary_cong :premises (@p9 @p13) :args ((or @t30 (not @t34)))) % 0.37/0.56 (step @p15 :rule bool-and-de-morgan :args (@t29 @t4 (and @t31))) % 0.37/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p12)) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p7)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18) :args ((forall @t14 (not (and @t29 @t4 @t31))))) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p3)) % 0.37/0.56 (step @p21 :rule refl :args (@t31)) % 0.37/0.56 (step @p22 :rule refl :args (@t4)) % 0.37/0.56 (step @p23 :rule quant-miniscope-or :args ((= @t35 @t29))) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args ((and @t35 @t4 @t31))) % 0.37/0.56 (step @p25 :rule quant-unused-vars :args ((= @t36 @t31))) % 0.37/0.56 (step @p26 :rule quant-unused-vars :args ((= @t37 @t4))) % 0.37/0.56 (step @p27 :rule alpha_equiv :args (@t39 (@list @t8 @t6) (@list @t24 @t20))) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t40)) % 0.37/0.56 (step @p29 :rule quant-miniscope-and :args ((= (forall @t12 @t41) @t40))) % 0.37/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p24)) % 0.37/0.56 (step @p32 :rule aci_norm :args ((= (and @t38 @t34) @t41))) % 0.37/0.56 (step @p33 :rule bool-implies-de-morgan :args (@t4 @t2)) % 0.37/0.56 (step @p34 :rule bool-impl-elim :args (@t9 @t7)) % 0.37/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((and @t10 (not @t5)))) % 0.37/0.56 (step @p36 :rule trans :premises (@p35 @p32)) % 0.37/0.56 (step @p37 :rule bool-implies-de-morgan :args (@t10 @t5)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p31)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.37/0.57 (step @p42 :rule exists-elim :args ((= @t13 @t43))) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p20)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t16)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.37/0.57 (step @p48 :rule not_or_elim :premises (@p47) :args (1)) % 0.37/0.57 (step @p49 :rule alpha_equiv :args (@t26 (@list @t24) (@list @t3))) % 0.37/0.57 (step @p50 :rule equiv_elim1 :premises (@p49)) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48) :args (@t27 @t44 (@list @t19))) % 0.37/0.57 (step @p52 :rule bool-double-not-elim :args (@t22)) % 0.37/0.57 (step @p53 :rule bool-double-not-elim :args (@t26)) % 0.37/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t27) (not @t23)))) % 0.37/0.57 (step @p55 :rule not_or_elim :premises (@p47) :args (0)) % 0.37/0.57 (step @p56 :rule not_and :premises (@p55)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p54)) % 0.37/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args (@t22 @t44 (@list @t26))) % 0.37/0.57 (step @p59 :rule alpha_equiv :args (@t22 (@list @t20) (@list @t1))) % 0.37/0.57 (step @p60 :rule equiv_elim1 :premises (@p59)) % 0.37/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p58) :args (@t17 @t45 (@list @t22))) % 0.37/0.57 (step @p62 :rule not_or_elim :premises (@p47) :args (2)) % 0.37/0.57 (step @p63 false :rule chain_m_resolution :premises (@p62 @p61) :args (false @t45 (@list @t17))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------