%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN315+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 : n028.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 09:08:31 AM UTC 2026 % Result : Theorem 0.26s 0.56s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN315+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:23:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.56 % SZS status Theorem % 0.26/0.56 % SZS output start Proof % 0.26/0.56 ( % 0.26/0.56 (declare-sort $$unsorted 0) % 0.26/0.56 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.26/0.56 (declare-const tptp.p Bool) % 0.26/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.26/0.56 (define @t2 () (tptp.big_f @t1)) % 0.26/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.26/0.56 (define @t4 () (tptp.big_f @t3)) % 0.26/0.56 (define @t5 () (=> (= @t4 tptp.p) (= @t2 tptp.p))) % 0.26/0.56 (define @t6 () (@list @t1)) % 0.26/0.56 (define @t7 () (forall @t6 @t5)) % 0.26/0.56 (define @t8 () (@list @t3)) % 0.26/0.56 (define @t9 () (exists @t8 @t7)) % 0.26/0.56 (define @t10 () (not @t9)) % 0.26/0.56 (define @t11 () (= tptp.p @t2)) % 0.26/0.56 (define @t12 () (forall @t6 @t11)) % 0.26/0.56 (define @t13 () (not @t12)) % 0.26/0.56 (define @t14 () (@var "BOUND_VARIABLE_7449" $$unsorted)) % 0.26/0.56 (define @t15 () (not tptp.p)) % 0.26/0.56 (define @t16 () (forall @t8 @t13)) % 0.26/0.56 (define @t17 () (not @t4)) % 0.26/0.56 (define @t18 () (= @t15 @t17)) % 0.26/0.56 (define @t19 () (forall @t8 @t18)) % 0.26/0.56 (define @t20 () (and @t19 @t16)) % 0.26/0.56 (define @t21 () (and (= @t17 @t15) @t13)) % 0.26/0.56 (define @t22 () (= @t4 @t15)) % 0.26/0.56 (define @t23 () (or @t22 @t12)) % 0.26/0.56 (define @t24 () (forall @t8 (not @t23))) % 0.26/0.56 (define @t25 () (not @t24)) % 0.26/0.56 (define @t26 () (or (= @t15 @t4) @t11)) % 0.26/0.56 (define @t27 () (= tptp.p @t4)) % 0.26/0.56 (define @t28 () (@quantifiers_skolemize @t12 0)) % 0.26/0.56 (define @t29 () (tptp.big_f @t28)) % 0.26/0.56 (define @t30 () (= tptp.p @t29)) % 0.26/0.56 (define @t31 () (not @t29)) % 0.26/0.56 (define @t32 () (= @t15 @t31)) % 0.26/0.56 (define @t33 () (not @t32)) % 0.26/0.56 (assume @p1 @t10) % 0.26/0.56 (assume @p2 true) % 0.26/0.56 (step @p3 :rule bool-double-not-elim :args ((and (forall (@list @t14) (= @t15 (not (tptp.big_f @t14)))) @t13))) % 0.26/0.56 (step @p4 :rule quant-unused-vars :args ((= @t16 @t13))) % 0.26/0.56 (step @p5 :rule alpha_equiv :args (@t19 (@list @t3) (@list @t14))) % 0.26/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t20)) % 0.26/0.56 (step @p7 :rule quant-miniscope-and :args ((= (forall @t8 (and @t18 @t13)) @t20))) % 0.26/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.26/0.56 (step @p9 :rule refl :args (@t13)) % 0.26/0.56 (step @p10 :rule eq-symm :args (@t17 @t15)) % 0.26/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t21)) % 0.26/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t8 @t21))) % 0.26/0.56 (step @p13 :rule trans :premises (@p12 @p8)) % 0.26/0.56 (step @p14 :rule refl :args (@t13)) % 0.26/0.56 (step @p15 :rule bool-not-eq-elim1 :args (@t4 @t15)) % 0.26/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((and (not @t22) @t13))) % 0.26/0.56 (step @p17 :rule bool-or-de-morgan :args (@t22 @t12 false)) % 0.26/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.26/0.56 (step @p19 :rule cong :premises (@p18) :args (@t24)) % 0.26/0.56 (step @p20 :rule trans :premises (@p19 @p13)) % 0.26/0.56 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.26/0.56 (step @p22 :rule exists-elim :args ((= (exists @t8 @t23) @t25))) % 0.26/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.26/0.56 (step @p24 :rule quant-miniscope-or :args ((= (forall @t6 (or @t22 @t11)) @t23))) % 0.26/0.56 (step @p25 :rule refl :args (@t11)) % 0.26/0.56 (step @p26 :rule eq-symm :args (@t15 @t4)) % 0.26/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t26)) % 0.26/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t6 @t26))) % 0.26/0.56 (step @p29 :rule trans :premises (@p28 @p24)) % 0.26/0.56 (step @p30 :rule refl :args (@t11)) % 0.26/0.56 (step @p31 :rule bool-not-eq-elim1 :args (tptp.p @t4)) % 0.26/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t27) @t11))) % 0.26/0.56 (step @p33 :rule bool-impl-elim :args (@t27 @t11)) % 0.26/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.26/0.56 (step @p35 :rule cong :premises (@p34) :args ((forall @t6 (=> @t27 @t11)))) % 0.26/0.56 (step @p36 :rule trans :premises (@p35 @p29)) % 0.26/0.56 (step @p37 :rule eq-symm :args (@t2 tptp.p)) % 0.26/0.56 (step @p38 :rule eq-symm :args (@t4 tptp.p)) % 0.26/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args (@t5)) % 0.26/0.56 (step @p40 :rule cong :premises (@p39) :args (@t7)) % 0.26/0.56 (step @p41 :rule trans :premises (@p40 @p36)) % 0.26/0.56 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.26/0.56 (step @p43 :rule trans :premises (@p42 @p23)) % 0.26/0.56 (step @p44 :rule cong :premises (@p43) :args (@t10)) % 0.26/0.56 (step @p45 :rule trans :premises (@p44 @p3)) % 0.26/0.56 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.26/0.56 (step @p47 :rule and_elim :premises (@p46) :args (0)) % 0.26/0.56 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t28))) % 0.26/0.56 (step @p49 :rule and_elim :premises (@p46) :args (1)) % 0.26/0.56 (step @p50 :rule skolemize :premises (@p49)) % 0.26/0.56 (step @p51 :rule cnf_equiv_neg1 :args (@t30)) % 0.26/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or tptp.p @t29 @t30))) % 0.26/0.56 (step @p53 :rule refl :args (@t31)) % 0.26/0.56 (step @p54 :rule bool-double-not-elim :args (tptp.p)) % 0.26/0.56 (step @p55 :rule refl :args (@t33)) % 0.26/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t33 (not @t15) @t31))) % 0.26/0.56 (step @p57 :rule cnf_equiv_pos1 :args (@t32)) % 0.26/0.56 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.26/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or tptp.p @t31 @t33))) % 0.26/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p48 @p52 @p50) :args (tptp.p (@list false false true) (@list @t32 @t29 @t30))) % 0.26/0.56 (step @p61 :rule cnf_equiv_neg2 :args (@t30)) % 0.26/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t15 @t30 @t31))) % 0.26/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p50) :args (@t31 (@list false true) (@list tptp.p @t30))) % 0.26/0.56 (step @p64 :rule bool-double-not-elim :args (@t29)) % 0.26/0.56 (step @p65 :rule refl :args (@t15)) % 0.26/0.56 (step @p66 :rule nary_cong :premises (@p55 @p65 @p64) :args ((or @t33 @t15 (not @t31)))) % 0.26/0.56 (step @p67 :rule cnf_equiv_pos2 :args (@t32)) % 0.26/0.56 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.26/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t15 @t29 @t33))) % 0.26/0.56 (step @p70 false :rule chain_m_resolution :premises (@p69 @p63 @p60 @p48) :args (false (@list true false false) (@list @t29 tptp.p @t32))) % 0.26/0.56 ) % 0.26/0.56 % SZS output end Proof % 0.26/0.56 % cvc5 exiting %------------------------------------------------------------------------------