%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN372+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:08:43 AM UTC 2026 % Result : Theorem 0.38s 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 : SYN372+1 : TPTP v9.2.1. Released v2.0.0. % 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 : n018.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 23:25:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.big_q @t1)) % 0.38/0.56 (define @t3 () (tptp.big_p @t1)) % 0.38/0.56 (define @t4 () (=> @t3 @t2)) % 0.38/0.56 (define @t5 () (@list @t1)) % 0.38/0.56 (define @t6 () (exists @t5 @t4)) % 0.38/0.56 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t8 () (tptp.big_q @t7)) % 0.38/0.56 (define @t9 () (=> @t3 @t8)) % 0.38/0.56 (define @t10 () (exists @t5 @t9)) % 0.38/0.56 (define @t11 () (=> @t10 @t6)) % 0.38/0.56 (define @t12 () (@list @t7)) % 0.38/0.56 (define @t13 () (forall @t12 @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (not @t8)) % 0.38/0.56 (define @t16 () (forall @t12 @t15)) % 0.38/0.56 (define @t17 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.38/0.56 (define @t18 () (@list @t17)) % 0.38/0.56 (define @t19 () (@var "BOUND_VARIABLE_7430" $$unsorted)) % 0.38/0.56 (define @t20 () (forall (@list @t19) (tptp.big_p @t19))) % 0.38/0.56 (define @t21 () (forall @t12 @t20)) % 0.38/0.56 (define @t22 () (and @t21 @t16)) % 0.38/0.56 (define @t23 () (and @t20 @t15)) % 0.38/0.56 (define @t24 () (forall @t12 @t23)) % 0.38/0.56 (define @t25 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.38/0.56 (define @t26 () (forall (@list @t25) (not (tptp.big_q @t25)))) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.38/0.56 (define @t29 () (forall (@list @t28) (tptp.big_p @t28))) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (or @t30 @t27 @t24)) % 0.38/0.56 (define @t32 () (or @t30 @t27 @t23)) % 0.38/0.56 (define @t33 () (or @t23 @t30 @t27)) % 0.38/0.56 (define @t34 () (not (and @t29 @t26))) % 0.38/0.56 (define @t35 () (not @t23)) % 0.38/0.56 (define @t36 () (not @t2)) % 0.38/0.56 (define @t37 () (forall @t5 @t36)) % 0.38/0.56 (define @t38 () (@list @t1)) % 0.38/0.56 (define @t39 () (@list @t25)) % 0.38/0.56 (define @t40 () (forall @t5 @t3)) % 0.38/0.56 (define @t41 () (@list @t28)) % 0.38/0.56 (define @t42 () (and @t40 @t37)) % 0.38/0.56 (define @t43 () (forall @t5 (not @t4))) % 0.38/0.56 (define @t44 () (not @t43)) % 0.38/0.56 (define @t45 () (forall @t5 @t15)) % 0.38/0.56 (define @t46 () (@list @t19)) % 0.38/0.56 (define @t47 () (and @t40 @t45)) % 0.38/0.56 (define @t48 () (forall @t5 (not @t9))) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (@list false)) % 0.38/0.56 (define @t51 () (forall (@list @t17) (not (tptp.big_q @t17)))) % 0.38/0.56 (assume @p1 @t14) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule alpha_equiv :args (@t16 (@list @t7) @t18)) % 0.38/0.56 (step @p4 :rule quant-unused-vars :args ((= @t21 @t20))) % 0.38/0.56 (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t22)) % 0.38/0.56 (step @p6 :rule quant-miniscope-and :args ((= @t24 @t22))) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.56 (step @p8 :rule refl :args (@t27)) % 0.38/0.56 (step @p9 :rule refl :args (@t30)) % 0.38/0.56 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t31)) % 0.38/0.56 (step @p11 :rule quant-miniscope-or :args ((= (forall @t12 @t32) @t31))) % 0.38/0.56 (step @p12 :rule aci_norm :args ((= @t33 @t32))) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t12 @t33))) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p10)) % 0.38/0.56 (step @p16 :rule aci_norm :args ((= (or @t23 (or @t30 @t27)) @t33))) % 0.38/0.56 (step @p17 :rule bool-and-de-morgan :args (@t29 @t26 true)) % 0.38/0.56 (step @p18 :rule refl :args (@t23)) % 0.38/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t23 @t34))) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.56 (step @p21 :rule refl :args (@t34)) % 0.38/0.56 (step @p22 :rule bool-double-not-elim :args (@t23)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t35) @t34))) % 0.38/0.56 (step @p24 :rule bool-impl-elim :args (@t35 @t34)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule trans :premises (@p25 @p20)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26) :args ((forall @t12 (=> @t35 @t34)))) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p15)) % 0.38/0.56 (step @p29 :rule alpha_equiv :args (@t37 @t38 @t39)) % 0.38/0.56 (step @p30 :rule alpha_equiv :args (@t40 @t38 @t41)) % 0.38/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t42)) % 0.38/0.56 (step @p32 :rule quant-miniscope-and :args ((= (forall @t5 (and @t3 @t36)) @t42))) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.56 (step @p34 :rule bool-implies-de-morgan :args (@t3 @t2)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t43)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t44)) % 0.38/0.56 (step @p38 :rule exists-elim :args ((= @t6 @t44))) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule quant-unused-vars :args ((= @t45 @t15))) % 0.38/0.56 (step @p41 :rule alpha_equiv :args (@t40 @t38 @t46)) % 0.38/0.56 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t47)) % 0.38/0.56 (step @p43 :rule quant-miniscope-and :args ((= (forall @t5 (and @t3 @t15)) @t47))) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule bool-implies-de-morgan :args (@t3 @t8)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45) :args (@t48)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args (@t49)) % 0.38/0.56 (step @p49 :rule exists-elim :args ((= @t10 @t49))) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50 @p39) :args (@t11)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args (@t13)) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p28)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53) :args (@t14)) % 0.38/0.56 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.38/0.56 (step @p56 :rule not_or_elim :premises (@p55) :args (0)) % 0.38/0.56 (step @p57 :rule not_not_elim :premises (@p56)) % 0.38/0.56 (step @p58 :rule alpha_equiv :args (@t29 @t41 @t46)) % 0.38/0.56 (step @p59 :rule symm :premises (@p58)) % 0.38/0.56 (step @p60 :rule equiv_elim2 :premises (@p59)) % 0.38/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p57) :args (@t20 @t50 (@list @t29))) % 0.38/0.56 (step @p62 :rule not_or_elim :premises (@p55) :args (1)) % 0.38/0.56 (step @p63 :rule not_not_elim :premises (@p62)) % 0.38/0.56 (step @p64 :rule alpha_equiv :args (@t26 @t39 @t18)) % 0.38/0.56 (step @p65 :rule equiv_elim1 :premises (@p64)) % 0.38/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t51 @t50 (@list @t26))) % 0.38/0.56 (step @p67 :rule not_or_elim :premises (@p55) :args (2)) % 0.38/0.56 (step @p68 :rule not_and :premises (@p67)) % 0.38/0.56 (step @p69 false :rule chain_m_resolution :premises (@p68 @p66 @p61) :args (false (@list false false) (@list @t51 @t20))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------