%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:52 AM UTC 2026 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n028.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 13:24:47 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.50 % SZS status Theorem % 0.19/0.50 % SZS output start Proof % 0.19/0.50 ( % 0.19/0.50 (declare-sort $$unsorted 0) % 0.19/0.50 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.19/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.19/0.50 (define @t3 () (= @t2 @t1)) % 0.19/0.50 (define @t4 () (tptp.smaller @t2 @t1)) % 0.19/0.50 (define @t5 () (@list @t2 @t1)) % 0.19/0.50 (define @t6 () (tptp.greater @t2 @t1)) % 0.19/0.50 (define @t7 () (tptp.greater @t1 @t2)) % 0.19/0.50 (define @t8 () (@var "Z" $$unsorted)) % 0.19/0.50 (define @t9 () (@var "T" $$unsorted)) % 0.19/0.50 (define @t10 () (tptp.is_aligned @t2 @t9)) % 0.19/0.50 (define @t11 () (@var "T0" $$unsorted)) % 0.19/0.50 (define @t12 () (tptp.is_aligned @t2 @t11)) % 0.19/0.50 (define @t13 () (tptp.organization @t2)) % 0.19/0.50 (define @t14 () (and @t13 (not (= @t12 @t10)))) % 0.19/0.50 (define @t15 () (tptp.dissimilar @t2 @t11 @t9)) % 0.19/0.50 (define @t16 () (= @t15 @t14)) % 0.19/0.50 (define @t17 () (@list @t2 @t11 @t9)) % 0.19/0.50 (define @t18 () (forall @t17 @t16)) % 0.19/0.50 (define @t19 () (forall (@list @t2 @t9) (not (tptp.dissimilar @t2 @t9 @t9)))) % 0.19/0.50 (define @t20 () (not @t19)) % 0.19/0.50 (define @t21 () (not @t12)) % 0.19/0.50 (define @t22 () (and @t13 (= @t21 @t10))) % 0.19/0.50 (define @t23 () (= @t15 @t22)) % 0.19/0.50 (define @t24 () (@quantifiers_skolemize @t19 1)) % 0.19/0.50 (define @t25 () (@quantifiers_skolemize @t19 0)) % 0.19/0.50 (define @t26 () (tptp.dissimilar @t25 @t24 @t24)) % 0.19/0.50 (define @t27 () (not (not @t26))) % 0.19/0.50 (define @t28 () (tptp.organization @t25)) % 0.19/0.50 (define @t29 () (tptp.is_aligned @t25 @t24)) % 0.19/0.50 (define @t30 () (and @t28 (= @t29 (not @t29)))) % 0.19/0.50 (define @t31 () (= @t26 @t30)) % 0.19/0.50 (define @t32 () (forall @t17 (= @t15 (and @t13 (= @t10 @t21))))) % 0.19/0.50 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.19/0.50 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.19/0.50 (assume @p3 (forall @t5 (= @t4 @t7))) % 0.19/0.50 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.19/0.50 (assume @p5 (forall (@list @t2 @t1 @t8) (=> (and @t6 (tptp.greater @t1 @t8)) (tptp.greater @t2 @t8)))) % 0.19/0.50 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.19/0.50 (assume @p7 @t18) % 0.19/0.50 (assume @p8 @t20) % 0.19/0.50 (assume @p9 true) % 0.19/0.50 (step @p10 :rule eq-symm :args (@t21 @t10)) % 0.19/0.50 (step @p11 :rule refl :args (@t13)) % 0.19/0.50 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t22)) % 0.19/0.50 (step @p13 :rule refl :args (@t15)) % 0.19/0.50 (step @p14 :rule cong :premises (@p13 @p12) :args (@t23)) % 0.19/0.50 (step @p15 :rule cong :premises (@p14) :args ((forall @t17 @t23))) % 0.19/0.50 (step @p16 :rule bool-not-eq-elim1 :args (@t12 @t10)) % 0.19/0.50 (step @p17 :rule refl :args (@t13)) % 0.19/0.50 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t14)) % 0.19/0.50 (step @p19 :rule refl :args (@t15)) % 0.19/0.50 (step @p20 :rule cong :premises (@p19 @p18) :args (@t16)) % 0.19/0.50 (step @p21 :rule cong :premises (@p20) :args (@t18)) % 0.19/0.50 (step @p22 :rule trans :premises (@p21 @p15)) % 0.19/0.50 (step @p23 :rule eq_resolve :premises (@p7 @p22)) % 0.19/0.50 (step @p24 :rule refl :args (@t26)) % 0.19/0.50 (step @p25 :rule bool-double-not-elim :args (@t19)) % 0.19/0.50 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t20) @t26))) % 0.19/0.50 (step @p27 :rule bool-double-not-elim :args (@t26)) % 0.19/0.50 (step @p28 :rule refl :args (@t20)) % 0.19/0.50 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t20 @t27))) % 0.19/0.50 (assume-push @p55 @t20) % 0.19/0.50 (step @p31 :rule skolemize :premises (@p8)) % 0.19/0.50 (step-pop @p56 :rule scope :premises (@p31)) % 0.19/0.50 (step @p32 :rule process_scope :premises (@p56) :args (@t27)) % 0.19/0.50 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.19/0.50 (step @p35 :rule implies_elim :premises (@p34)) % 0.19/0.50 (step @p36 :rule eq_resolve :premises (@p35 @p26)) % 0.19/0.50 (step @p37 :rule chain_m_resolution :premises (@p36 @p8) :args (@t26 (@list true) (@list @t19))) % 0.19/0.50 (step @p38 :rule bool-eq-false :args (@t26)) % 0.19/0.50 (step @p39 :rule absorb :args ((= (and @t28 false) false))) % 0.19/0.50 (step @p40 :rule bool-eq-nrefl :args (@t29)) % 0.19/0.50 (step @p41 :rule refl :args (@t28)) % 0.19/0.50 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t30)) % 0.19/0.50 (step @p43 :rule trans :premises (@p42 @p39)) % 0.19/0.51 (step @p44 :rule cong :premises (@p24 @p43) :args (@t31)) % 0.19/0.51 (step @p45 :rule trans :premises (@p44 @p38)) % 0.19/0.51 (step @p46 :rule refl :args (@t32)) % 0.19/0.51 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t32 @t31))) % 0.19/0.51 (assume-push @p57 @t32) % 0.19/0.51 (step @p49 :rule instantiate :premises (@p23) :args ((@list @t25 @t24 @t24))) % 0.19/0.51 (step-pop @p58 :rule scope :premises (@p49)) % 0.19/0.51 (step @p50 :rule process_scope :premises (@p58) :args (@t31)) % 0.19/0.51 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.19/0.51 (step @p53 :rule implies_elim :premises (@p52)) % 0.19/0.51 (step @p54 false :rule chain_m_resolution :premises (@p53 @p37 @p23) :args (false (@list false false) (@list @t26 @t32))) % 0.19/0.51 ) % 0.19/0.51 % SZS output end Proof % 0.19/0.51 % cvc5 exiting %------------------------------------------------------------------------------