%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO552^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:13:06 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO552^1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:20:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t3 () (@var "F" (-> $$unsorted $$unsorted $$unsorted))) % 0.38/0.61 (define @t4 () (_ (_ @t3 @t1) @t2)) % 0.38/0.61 (define @t5 () (@list @t1 @t2)) % 0.38/0.61 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.61 (define @t7 () (@list @t3)) % 0.38/0.61 (define @t8 () (exists @t7 @t6)) % 0.38/0.61 (define @t9 () (not @t8)) % 0.38/0.61 (define @t10 () (_ @t3 @t1 @t2)) % 0.38/0.61 (define @t11 () (forall @t5 (= @t1 @t10))) % 0.38/0.61 (define @t12 () (forall @t7 (not @t11))) % 0.38/0.61 (define @t13 () (= @t1 @t4)) % 0.38/0.61 (define @t14 () (@var "BOUND_VARIABLE_21449" $$unsorted)) % 0.38/0.61 (define @t15 () (lambda (@list @t14 (@var "BOUND_VARIABLE_21450" $$unsorted)) @t14)) % 0.38/0.61 (define @t16 () (_ @t15 @t1 @t2)) % 0.38/0.61 (define @t17 () (= @t1 @t16)) % 0.38/0.61 (define @t18 () (forall @t5 @t17)) % 0.38/0.61 (define @t19 () (not @t18)) % 0.38/0.61 (assume @p1 @t9) % 0.38/0.61 (assume @p2 true) % 0.38/0.61 (step @p3 :rule bool-double-not-elim :args (@t12)) % 0.38/0.61 (step @p4 :rule exists-elim :args ((= (exists @t7 @t11) (not @t12)))) % 0.38/0.61 (step @p5 :rule refl :args (@t10)) % 0.38/0.61 (step @p6 :rule refl :args (@t4)) % 0.38/0.61 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t10))) % 0.38/0.61 (step @p8 :rule symm :premises (@p7)) % 0.38/0.61 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.61 (step @p10 :rule refl :args (@t1)) % 0.38/0.61 (step @p11 :rule cong :premises (@p10 @p9) :args (@t13)) % 0.38/0.61 (step @p12 :rule cong :premises (@p11) :args ((forall @t5 @t13))) % 0.38/0.61 (step @p13 :rule eq-symm :args (@t4 @t1)) % 0.38/0.61 (step @p14 :rule cong :premises (@p13) :args (@t6)) % 0.38/0.61 (step @p15 :rule trans :premises (@p14 @p12)) % 0.38/0.61 (step @p16 :rule cong :premises (@p15) :args (@t8)) % 0.38/0.61 (step @p17 :rule trans :premises (@p16 @p4)) % 0.38/0.61 (step @p18 :rule cong :premises (@p17) :args (@t9)) % 0.38/0.61 (step @p19 :rule trans :premises (@p18 @p3)) % 0.38/0.61 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.61 (step @p21 :rule bool-impl-false1 :args (@t12)) % 0.38/0.61 (step @p22 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p23 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.38/0.61 (step @p24 :rule eq-refl :args (@t1)) % 0.38/0.61 (step @p25 :rule beta-reduce :args ((= @t16 @t1))) % 0.38/0.61 (step @p26 :rule refl :args (@t1)) % 0.38/0.61 (step @p27 :rule cong :premises (@p26 @p25) :args (@t17)) % 0.38/0.61 (step @p28 :rule trans :premises (@p27 @p24)) % 0.38/0.61 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 0.38/0.61 (step @p30 :rule trans :premises (@p29 @p23)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.38/0.61 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.61 (step @p33 :rule refl :args (@t12)) % 0.38/0.61 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t12 @t19))) % 0.38/0.61 (step @p35 :rule trans :premises (@p34 @p21)) % 0.38/0.61 (assume-push @p42 @t12) % 0.38/0.61 (step @p37 :rule instantiate :premises (@p20) :args ((@list @t15))) % 0.38/0.61 (step-pop @p43 :rule scope :premises (@p37)) % 0.38/0.61 (step @p38 :rule process_scope :premises (@p43) :args (@t19)) % 0.38/0.61 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.38/0.61 (step @p41 false :rule chain_m_resolution :premises (@p40 @p20) :args (false (@list false) (@list @t12))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------