%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN356+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 : n002.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 09:08:40 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN356+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:24:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.a $$unsorted) % 0.29/0.54 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.29/0.54 (declare-const tptp.b $$unsorted) % 0.29/0.54 (define @t1 () (tptp.big_q tptp.b tptp.b)) % 0.29/0.54 (define @t2 () (tptp.big_q tptp.a tptp.a)) % 0.29/0.54 (define @t3 () (and @t2 @t1)) % 0.29/0.54 (define @t4 () (@var "U" $$unsorted)) % 0.29/0.54 (define @t5 () (tptp.big_q @t4 @t4)) % 0.29/0.54 (define @t6 () (@var "V" $$unsorted)) % 0.29/0.54 (define @t7 () (tptp.big_q @t4 @t6)) % 0.29/0.54 (define @t8 () (forall (@list @t4 @t6) (=> @t7 @t5))) % 0.29/0.54 (define @t9 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t10 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t11 () (and (tptp.big_r @t9 @t10) (tptp.big_q @t10 @t9))) % 0.29/0.54 (define @t12 () (tptp.big_r @t10 @t9)) % 0.29/0.54 (define @t13 () (forall (@list @t10 @t9) (=> @t12 @t11))) % 0.29/0.54 (define @t14 () (tptp.big_r tptp.a tptp.b)) % 0.29/0.54 (define @t15 () (and @t14 @t13 @t8)) % 0.29/0.54 (define @t16 () (=> @t15 @t3)) % 0.29/0.54 (define @t17 () (not @t16)) % 0.29/0.54 (define @t18 () (@list tptp.a tptp.b)) % 0.29/0.54 (define @t19 () (tptp.big_q tptp.a tptp.b)) % 0.29/0.54 (define @t20 () (tptp.big_r tptp.b tptp.a)) % 0.29/0.54 (define @t21 () (and @t20 @t19)) % 0.29/0.54 (define @t22 () (not @t14)) % 0.29/0.54 (define @t23 () (or @t22 @t21)) % 0.29/0.54 (define @t24 () (@list false false)) % 0.29/0.54 (define @t25 () (not @t21)) % 0.29/0.54 (define @t26 () (@list false)) % 0.29/0.54 (define @t27 () (@list @t21)) % 0.29/0.54 (define @t28 () (not @t19)) % 0.29/0.54 (define @t29 () (or @t28 @t2)) % 0.29/0.54 (define @t30 () (@list tptp.b tptp.a)) % 0.29/0.54 (define @t31 () (tptp.big_q tptp.b tptp.a)) % 0.29/0.54 (define @t32 () (and @t14 @t31)) % 0.29/0.54 (define @t33 () (not @t20)) % 0.29/0.54 (define @t34 () (or @t33 @t32)) % 0.29/0.54 (define @t35 () (not @t31)) % 0.29/0.54 (define @t36 () (or @t35 @t1)) % 0.29/0.54 (assume @p1 @t17) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule refl :args (@t3)) % 0.29/0.54 (step @p4 :rule bool-impl-elim :args (@t7 @t5)) % 0.29/0.54 (step @p5 :rule cong :premises (@p4) :args (@t8)) % 0.29/0.54 (step @p6 :rule bool-impl-elim :args (@t12 @t11)) % 0.29/0.54 (step @p7 :rule cong :premises (@p6) :args (@t13)) % 0.29/0.54 (step @p8 :rule refl :args (@t14)) % 0.29/0.54 (step @p9 :rule nary_cong :premises (@p8 @p7 @p5) :args (@t15)) % 0.29/0.54 (step @p10 :rule cong :premises (@p9 @p3) :args (@t16)) % 0.29/0.54 (step @p11 :rule cong :premises (@p10) :args (@t17)) % 0.29/0.54 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.29/0.54 (step @p13 :rule not_implies_elim1 :premises (@p12)) % 0.29/0.54 (step @p14 :rule and_elim :premises (@p13) :args (2)) % 0.29/0.54 (step @p15 :rule instantiate :premises (@p14) :args (@t18)) % 0.29/0.54 (step @p16 :rule and_elim :premises (@p13) :args (1)) % 0.29/0.54 (step @p17 :rule instantiate :premises (@p16) :args (@t18)) % 0.29/0.54 (step @p18 :rule and_elim :premises (@p13) :args (0)) % 0.29/0.54 (step @p19 :rule cnf_or_pos :args (@t23)) % 0.29/0.54 (step @p20 :rule reordering :premises (@p19) :args ((or @t22 @t21 (not @t23)))) % 0.29/0.54 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17) :args (@t21 @t24 (@list @t14 @t23))) % 0.29/0.54 (step @p22 :rule cnf_and_pos :args (@t21 1)) % 0.29/0.54 (step @p23 :rule reordering :premises (@p22) :args ((or @t19 @t25))) % 0.29/0.54 (step @p24 :rule chain_m_resolution :premises (@p23 @p21) :args (@t19 @t26 @t27)) % 0.29/0.54 (step @p25 :rule cnf_or_pos :args (@t29)) % 0.29/0.54 (step @p26 :rule reordering :premises (@p25) :args ((or @t2 @t28 (not @t29)))) % 0.29/0.54 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p15) :args (@t2 @t24 (@list @t19 @t29))) % 0.29/0.54 (step @p28 :rule instantiate :premises (@p14) :args (@t30)) % 0.29/0.54 (step @p29 :rule instantiate :premises (@p16) :args (@t30)) % 0.29/0.54 (step @p30 :rule cnf_and_pos :args (@t21 0)) % 0.29/0.54 (step @p31 :rule reordering :premises (@p30) :args ((or @t20 @t25))) % 0.29/0.54 (step @p32 :rule chain_m_resolution :premises (@p31 @p21) :args (@t20 @t26 @t27)) % 0.29/0.54 (step @p33 :rule cnf_or_pos :args (@t34)) % 0.29/0.54 (step @p34 :rule reordering :premises (@p33) :args ((or @t33 @t32 (not @t34)))) % 0.29/0.54 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p29) :args (@t32 @t24 (@list @t20 @t34))) % 0.29/0.54 (step @p36 :rule cnf_and_pos :args (@t32 1)) % 0.29/0.54 (step @p37 :rule reordering :premises (@p36) :args ((or @t31 (not @t32)))) % 0.29/0.54 (step @p38 :rule chain_m_resolution :premises (@p37 @p35) :args (@t31 @t26 (@list @t32))) % 0.29/0.54 (step @p39 :rule cnf_or_pos :args (@t36)) % 0.29/0.54 (step @p40 :rule reordering :premises (@p39) :args ((or @t1 @t35 (not @t36)))) % 0.29/0.54 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p28) :args (@t1 @t24 (@list @t31 @t36))) % 0.29/0.55 (step @p42 :rule not_implies_elim2 :premises (@p12)) % 0.29/0.55 (step @p43 :rule not_and :premises (@p42)) % 0.29/0.55 (step @p44 false :rule chain_m_resolution :premises (@p43 @p41 @p27) :args (false @t24 (@list @t1 @t2))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------