%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI120_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:07:10 AM UTC 2026 % Result : Theorem 45.55s 45.97s % Output : Proof 45.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI120_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.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 02:26:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_ARI % 45.55/45.97 --- Run --finite-model-find --decision=internal at 45... % 45.55/45.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.55/45.97 --- Run --no-e-matching --full-saturate-quant at 45... % 45.55/45.97 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 45.55/45.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45... % 45.55/45.97 % SZS status Theorem % 45.55/45.97 % SZS output start Proof % 45.55/45.97 ( % 45.55/45.97 (declare-const tptp.p (-> Int Bool)) % 45.55/45.97 (define @t1 () (@var "Y" Int)) % 45.55/45.97 (define @t2 () (* @t1 @t1)) % 45.55/45.97 (define @t3 () (= @t2 4)) % 45.55/45.97 (define @t4 () (@var "X" Int)) % 45.55/45.97 (define @t5 () (= @t4 @t1)) % 45.55/45.97 (define @t6 () (not @t5)) % 45.55/45.97 (define @t7 () (tptp.p @t4)) % 45.55/45.97 (define @t8 () (and @t7 @t6 @t3)) % 45.55/45.97 (define @t9 () (@list @t4 @t1)) % 45.55/45.97 (define @t10 () (exists @t9 @t8)) % 45.55/45.97 (define @t11 () (tptp.p 2)) % 45.55/45.97 (define @t12 () (=> @t11 @t10)) % 45.55/45.97 (define @t13 () (not @t12)) % 45.55/45.97 (define @t14 () (* @t1 @t1)) % 45.55/45.97 (define @t15 () (= @t14 4)) % 45.55/45.97 (define @t16 () (not @t15)) % 45.55/45.97 (define @t17 () (not @t7)) % 45.55/45.97 (define @t18 () (not @t6)) % 45.55/45.97 (define @t19 () (or @t17 @t18 @t16)) % 45.55/45.97 (define @t20 () (and @t7 @t6 @t15)) % 45.55/45.97 (define @t21 () (forall @t9 (not @t20))) % 45.55/45.97 (define @t22 () (not @t21)) % 45.55/45.97 (define @t23 () (not @t11)) % 45.55/45.97 (define @t24 () (+ 1 1)) % 45.55/45.97 (define @t25 () (* -1 @t24)) % 45.55/45.97 (define @t26 () (+ 0 @t25)) % 45.55/45.97 (define @t27 () (* @t26 @t26)) % 45.55/45.97 (define @t28 () (= @t27 4)) % 45.55/45.97 (define @t29 () (not @t28)) % 45.55/45.97 (define @t30 () (= @t24 @t26)) % 45.55/45.97 (define @t31 () (tptp.p @t24)) % 45.55/45.97 (define @t32 () (not @t31)) % 45.55/45.97 (define @t33 () (or @t32 @t30 @t29)) % 45.55/45.97 (define @t34 () (forall @t9 (or @t17 @t5 @t16))) % 45.55/45.97 (assume @p1 @t13) % 45.55/45.97 (assume @p2 true) % 45.55/45.97 (step @p3 :rule refl :args (@t16)) % 45.55/45.97 (step @p4 :rule bool-double-not-elim :args (@t5)) % 45.55/45.97 (step @p5 :rule refl :args (@t17)) % 45.55/45.97 (step @p6 :rule nary_cong :premises (@p5 @p4 @p3) :args (@t19)) % 45.55/45.97 (step @p7 :rule aci_norm :args ((= (or @t17 (or @t18 @t16)) @t19))) % 45.55/45.97 (step @p8 :rule trans :premises (@p7 @p6)) % 45.55/45.97 (step @p9 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 45.55/45.97 (step @p10 :rule nary_cong :premises (@p5 @p9) :args ((or @t17 (not (and @t6 @t15))))) % 45.55/45.97 (step @p11 :rule bool-and-de-morgan :args (@t7 @t6 (and @t15))) % 45.55/45.97 (step @p12 :rule trans :premises (@p11 @p10)) % 45.55/45.97 (step @p13 :rule trans :premises (@p12 @p8)) % 45.55/45.97 (step @p14 :rule cong :premises (@p13) :args (@t21)) % 45.55/45.97 (step @p15 :rule cong :premises (@p14) :args (@t22)) % 45.55/45.97 (step @p16 :rule exists-elim :args ((= (exists @t9 @t20) @t22))) % 45.55/45.97 (step @p17 :rule trans :premises (@p16 @p15)) % 45.55/45.97 (step @p18 :rule refl :args (4)) % 45.55/45.97 (step @p19 :rule arith_poly_norm :args ((= @t2 @t14))) % 45.55/45.97 (step @p20 :rule cong :premises (@p19 @p18) :args (@t3)) % 45.55/45.97 (step @p21 :rule refl :args (@t6)) % 45.55/45.97 (step @p22 :rule refl :args (@t7)) % 45.55/45.97 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t8)) % 45.55/45.97 (step @p24 :rule cong :premises (@p23) :args (@t10)) % 45.55/45.97 (step @p25 :rule trans :premises (@p24 @p17)) % 45.55/45.97 (step @p26 :rule refl :args (@t11)) % 45.55/45.97 (step @p27 :rule cong :premises (@p26 @p25) :args (@t12)) % 45.55/45.97 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 45.55/45.97 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 45.55/45.97 (step @p30 :rule not_implies_elim1 :premises (@p29)) % 45.55/45.97 (step @p31 :rule not_implies_elim2 :premises (@p29)) % 45.55/45.97 (step @p32 :rule not_not_elim :premises (@p31)) % 45.55/45.97 (step @p33 :rule aci_norm :args ((= (or @t23 false false) @t23))) % 45.55/45.97 (step @p34 :rule evaluate :args ((not true))) % 45.55/45.97 (step @p35 :rule evaluate :args ((= 4 4))) % 45.55/45.97 (step @p36 :rule evaluate :args ((* -2 -2))) % 45.55/45.97 (step @p37 :rule evaluate :args ((+ 0 -2))) % 45.55/45.97 (step @p38 :rule evaluate :args ((* -1 2))) % 45.55/45.97 (step @p39 :rule evaluate :args (@t24)) % 45.55/45.97 (step @p40 :rule refl :args (-1)) % 45.55/45.97 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t25)) % 45.55/45.97 (step @p42 :rule trans :premises (@p41 @p38)) % 45.55/45.97 (step @p43 :rule refl :args (0)) % 45.55/45.97 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t26)) % 45.55/45.97 (step @p45 :rule trans :premises (@p44 @p37)) % 45.55/45.97 (step @p46 :rule nary_cong :premises (@p45 @p45) :args (@t27)) % 45.55/45.97 (step @p47 :rule trans :premises (@p46 @p36)) % 45.55/45.97 (step @p48 :rule cong :premises (@p47 @p18) :args (@t28)) % 45.55/45.97 (step @p49 :rule trans :premises (@p48 @p35)) % 45.55/45.97 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 45.55/45.97 (step @p51 :rule trans :premises (@p50 @p34)) % 45.55/45.97 (step @p52 :rule evaluate :args ((= 2 -2))) % 45.55/45.97 (step @p53 :rule cong :premises (@p39 @p45) :args (@t30)) % 45.55/45.97 (step @p54 :rule trans :premises (@p53 @p52)) % 45.55/45.97 (step @p55 :rule cong :premises (@p39) :args (@t31)) % 45.55/45.97 (step @p56 :rule cong :premises (@p55) :args (@t32)) % 45.55/45.97 (step @p57 :rule nary_cong :premises (@p56 @p54 @p51) :args (@t33)) % 45.55/45.97 (step @p58 :rule trans :premises (@p57 @p33)) % 45.55/45.97 (step @p59 :rule refl :args (@t34)) % 45.55/45.97 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t34 @t33))) % 45.55/45.97 (assume-push @p68 @t34) % 45.55/45.97 (step @p62 :rule instantiate :premises (@p32) :args ((@list @t24 @t26))) % 45.55/45.97 (step-pop @p69 :rule scope :premises (@p62)) % 45.55/45.97 (step @p63 :rule process_scope :premises (@p69) :args (@t33)) % 45.55/45.97 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 45.55/45.97 (step @p66 :rule implies_elim :premises (@p65)) % 45.55/45.97 (step @p67 false :rule chain_m_resolution :premises (@p66 @p32 @p30) :args (false (@list false false) (@list @t34 @t11))) % 45.55/45.97 ) % 45.55/45.97 % SZS output end Proof % 45.55/45.97 % cvc5 exiting %------------------------------------------------------------------------------