%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN371+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 : n023.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN371+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 % 0.20/0.35 % Computer : n023.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 23:25:58 EDT 2026 % 0.20/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.big_r @t1 @t1)) % 0.39/0.57 (define @t3 () (@var "U" $$unsorted)) % 0.39/0.57 (define @t4 () (tptp.big_r @t3 @t3)) % 0.39/0.57 (define @t5 () (@list @t1)) % 0.39/0.57 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.39/0.57 (define @t7 () (@list @t3)) % 0.39/0.57 (define @t8 () (exists @t7 @t6)) % 0.39/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t10 () (forall (@list @t9) (tptp.big_r @t9 @t9))) % 0.39/0.57 (define @t11 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t12 () (tptp.big_r @t11 @t11)) % 0.39/0.57 (define @t13 () (@list @t11)) % 0.39/0.57 (define @t14 () (exists @t13 @t12)) % 0.39/0.57 (define @t15 () (=> @t14 @t10)) % 0.39/0.57 (define @t16 () (=> @t15 @t8)) % 0.39/0.57 (define @t17 () (not @t16)) % 0.39/0.57 (define @t18 () (forall @t5 @t2)) % 0.39/0.57 (define @t19 () (not @t18)) % 0.39/0.57 (define @t20 () (forall @t7 @t19)) % 0.39/0.57 (define @t21 () (forall @t7 @t4)) % 0.39/0.57 (define @t22 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.39/0.57 (define @t23 () (@list @t22)) % 0.39/0.57 (define @t24 () (and @t21 @t20)) % 0.39/0.57 (define @t25 () (not @t4)) % 0.39/0.57 (define @t26 () (or @t25 @t18)) % 0.39/0.57 (define @t27 () (forall @t7 (not @t26))) % 0.39/0.57 (define @t28 () (not @t27)) % 0.39/0.57 (define @t29 () (@list @t9)) % 0.39/0.57 (define @t30 () (@list false)) % 0.39/0.57 (assume @p1 @t17) % 0.39/0.57 (assume @p2 true) % 0.39/0.57 (step @p3 :rule quant-unused-vars :args ((= @t20 @t19))) % 0.39/0.57 (step @p4 :rule alpha_equiv :args (@t21 (@list @t3) @t23)) % 0.39/0.57 (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t24)) % 0.39/0.57 (step @p6 :rule quant-miniscope-and :args ((= (forall @t7 (and @t4 @t19)) @t24))) % 0.39/0.57 (step @p7 :rule trans :premises (@p6 @p5)) % 0.39/0.57 (step @p8 :rule refl :args (@t19)) % 0.39/0.57 (step @p9 :rule bool-double-not-elim :args (@t4)) % 0.39/0.57 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and (not @t25) @t19))) % 0.39/0.57 (step @p11 :rule bool-or-de-morgan :args (@t25 @t18 false)) % 0.39/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12) :args (@t27)) % 0.39/0.57 (step @p14 :rule trans :premises (@p13 @p7)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args (@t28)) % 0.39/0.57 (step @p16 :rule exists-elim :args ((= (exists @t7 @t26) @t28))) % 0.39/0.57 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.57 (step @p18 :rule quant-miniscope-or :args ((= (forall @t5 (or @t25 @t2)) @t26))) % 0.39/0.57 (step @p19 :rule bool-impl-elim :args (@t4 @t2)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.57 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 0.39/0.57 (step @p23 :rule trans :premises (@p22 @p17)) % 0.39/0.57 (step @p24 :rule refl :args (@t10)) % 0.39/0.57 (step @p25 :rule exists-elim :args ((= @t14 (not (forall @t13 (not @t12)))))) % 0.39/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args (@t15)) % 0.39/0.57 (step @p27 :rule cong :premises (@p26 @p23) :args (@t16)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 0.39/0.57 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.39/0.57 (step @p30 :rule not_implies_elim2 :premises (@p29)) % 0.39/0.57 (step @p31 :rule not_not_elim :premises (@p30)) % 0.39/0.57 (step @p32 :rule and_elim :premises (@p31) :args (0)) % 0.39/0.57 (step @p33 :rule alpha_equiv :args (@t10 @t29 @t23)) % 0.39/0.57 (step @p34 :rule equiv_elim2 :premises (@p33)) % 0.39/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p32) :args (@t10 @t30 (@list (forall (@list @t22) (tptp.big_r @t22 @t22))))) % 0.39/0.57 (step @p36 :rule alpha_equiv :args (@t10 @t29 (@list @t1))) % 0.39/0.57 (step @p37 :rule equiv_elim1 :premises (@p36)) % 0.39/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t18 (not @t10)))) % 0.39/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p35) :args (@t18 @t30 (@list @t10))) % 0.39/0.57 (step @p40 :rule and_elim :premises (@p31) :args (1)) % 0.39/0.57 (step @p41 false :rule chain_m_resolution :premises (@p40 @p39) :args (false @t30 (@list @t18))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------