%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM635^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:40:06 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM635^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.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 11:39:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.one $$unsorted) % 0.32/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t2 () (_ tptp.succ @t1)) % 0.32/0.57 (define @t3 () (@list @t1)) % 0.32/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t5 () (= @t1 @t4)) % 0.32/0.57 (define @t6 () (_ tptp.succ @t4)) % 0.32/0.57 (define @t7 () (= @t2 @t6)) % 0.32/0.57 (define @t8 () (@list @t1 @t4)) % 0.32/0.57 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.32/0.57 (define @t10 () (@var "M" (-> $$unsorted Bool))) % 0.32/0.57 (define @t11 () (not @t7)) % 0.32/0.57 (define @t12 () (not @t5)) % 0.32/0.57 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.32/0.57 (define @t14 () (not @t13)) % 0.32/0.57 (define @t15 () (tptp.succ @t4)) % 0.32/0.57 (define @t16 () (tptp.succ @t1)) % 0.32/0.57 (define @t17 () (or @t11 @t5)) % 0.32/0.57 (define @t18 () (not (= @t16 @t15))) % 0.32/0.57 (define @t19 () (or @t18 @t5)) % 0.32/0.57 (define @t20 () (or @t5 @t18)) % 0.32/0.57 (define @t21 () (forall @t8 @t20)) % 0.32/0.57 (define @t22 () (forall @t8 @t19)) % 0.32/0.57 (define @t23 () (@list false)) % 0.32/0.57 (define @t24 () (or @t5 @t11)) % 0.32/0.57 (assume @p1 (forall @t3 (not (= @t2 tptp.one)))) % 0.32/0.57 (assume @p2 @t9) % 0.32/0.57 (assume @p3 (forall (@list @t10) (=> (and (_ @t10 tptp.one) (forall @t3 (=> (_ @t10 @t1) (_ @t10 @t2)))) (forall (@list @t4) (_ @t10 @t4))))) % 0.32/0.57 (assume @p4 @t14) % 0.32/0.57 (assume @p5 true) % 0.32/0.57 (step @p6 :rule refl :args (@t5)) % 0.32/0.57 (step @p7 :rule refl :args (@t15)) % 0.32/0.57 (step @p8 :rule refl :args (@t6)) % 0.32/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t6 @t15))) % 0.32/0.57 (step @p10 :rule symm :premises (@p9)) % 0.32/0.57 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.32/0.57 (step @p12 :rule refl :args (@t16)) % 0.32/0.57 (step @p13 :rule refl :args (@t2)) % 0.32/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t2 @t16))) % 0.32/0.57 (step @p15 :rule symm :premises (@p14)) % 0.32/0.57 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16 @p11) :args (@t7)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.32/0.57 (step @p19 :rule nary_cong :premises (@p18 @p6) :args (@t17)) % 0.32/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t8 @t17))) % 0.32/0.57 (step @p21 :rule bool-impl-elim :args (@t7 @t5)) % 0.32/0.57 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 0.32/0.57 (step @p23 :rule trans :premises (@p22 @p20)) % 0.32/0.57 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.32/0.57 (step @p25 :rule aci_norm :args ((= @t20 @t19))) % 0.32/0.57 (step @p26 :rule cong :premises (@p25) :args (@t21)) % 0.32/0.57 (step @p27 :rule true_intro :premises (@p26)) % 0.32/0.57 (step @p28 :rule eq-symm :args (@t22 @t21)) % 0.32/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.32/0.57 (step @p30 :rule true_elim :premises (@p29)) % 0.32/0.57 (step @p31 :rule equiv_elim1 :premises (@p30)) % 0.32/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t21 (not @t22)))) % 0.32/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p24) :args (@t21 @t23 (@list @t22))) % 0.32/0.57 (step @p34 :rule nary_cong :premises (@p6 @p18) :args (@t24)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34) :args ((forall @t8 @t24))) % 0.32/0.57 (step @p36 :rule refl :args (@t11)) % 0.32/0.57 (step @p37 :rule bool-double-not-elim :args (@t5)) % 0.32/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t12) @t11))) % 0.32/0.57 (step @p39 :rule bool-impl-elim :args (@t12 @t11)) % 0.32/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.32/0.57 (step @p41 :rule cong :premises (@p40) :args (@t13)) % 0.32/0.57 (step @p42 :rule trans :premises (@p41 @p35)) % 0.32/0.57 (step @p43 :rule cong :premises (@p42) :args (@t14)) % 0.32/0.57 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 0.32/0.57 (step @p45 false :rule chain_m_resolution :premises (@p44 @p33) :args (false @t23 (@list @t21))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting 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