%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO390^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:12:33 AM UTC 2026 % Result : Theorem 0.18s 0.36s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO390^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 19:06:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 0.18/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.18/0.36 % SZS status Theorem % 0.18/0.36 % SZS output start Proof % 0.18/0.36 ( % 0.18/0.36 (define @t1 () (@var "Xq" Bool)) % 0.18/0.36 (define @t2 () (@var "Xp" Bool)) % 0.18/0.36 (define @t3 () (= @t2 @t1)) % 0.18/0.36 (define @t4 () (@list @t2 @t1)) % 0.18/0.36 (define @t5 () (forall @t4 (=> @t3 @t3))) % 0.18/0.36 (define @t6 () (not @t5)) % 0.18/0.36 (define @t7 () (@list @t1)) % 0.18/0.36 (define @t8 () (or (= @t1 (not @t1)) (= @t1 @t1))) % 0.18/0.36 (define @t9 () (not @t2)) % 0.18/0.36 (define @t10 () (= @t1 @t9)) % 0.18/0.36 (define @t11 () (not @t3)) % 0.18/0.36 (define @t12 () (@list @t2)) % 0.18/0.36 (define @t13 () (not @t9)) % 0.18/0.36 (define @t14 () (or @t10 @t10 @t3)) % 0.18/0.36 (define @t15 () (or @t10 @t3)) % 0.18/0.36 (define @t16 () (forall @t12 @t15)) % 0.18/0.36 (define @t17 () (forall @t7 @t16)) % 0.18/0.36 (define @t18 () (forall (@list @t1 @t2) @t15)) % 0.18/0.36 (define @t19 () (or (= @t9 @t1) @t3)) % 0.18/0.36 (assume @p1 @t6) % 0.18/0.36 (assume @p2 true) % 0.18/0.36 (step @p3 :rule evaluate :args ((not true))) % 0.18/0.36 (step @p4 :rule quant-unused-vars :args ((= (forall @t7 true) true))) % 0.18/0.36 (step @p5 :rule evaluate :args ((or false true))) % 0.18/0.36 (step @p6 :rule eq-refl :args (@t1)) % 0.18/0.36 (step @p7 :rule bool-eq-nrefl :args (@t1)) % 0.18/0.36 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t8)) % 0.18/0.36 (step @p9 :rule trans :premises (@p8 @p5)) % 0.18/0.36 (step @p10 :rule cong :premises (@p9) :args ((forall @t7 @t8))) % 0.18/0.36 (step @p11 :rule trans :premises (@p10 @p4)) % 0.18/0.36 (step @p12 :rule quant-var-elim-eq :args ((= (forall @t12 (or @t11 @t10 @t3)) @t8))) % 0.18/0.36 (step @p13 :rule refl :args (@t3)) % 0.18/0.36 (step @p14 :rule refl :args (@t10)) % 0.18/0.36 (step @p15 :rule refl :args (@t1)) % 0.18/0.36 (step @p16 :rule bool-double-not-elim :args (@t2)) % 0.18/0.36 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t13 @t1))) % 0.18/0.36 (step @p18 :rule eq-symm :args (@t1 @t13)) % 0.18/0.36 (step @p19 :rule trans :premises (@p18 @p17)) % 0.18/0.36 (step @p20 :rule bool-not-eq-elim2 :args (@t1 @t9)) % 0.18/0.36 (step @p21 :rule trans :premises (@p20 @p19)) % 0.18/0.36 (step @p22 :rule cong :premises (@p21) :args ((not (not @t10)))) % 0.18/0.36 (step @p23 :rule bool-double-not-elim :args (@t10)) % 0.18/0.36 (step @p24 :rule symm :premises (@p23)) % 0.18/0.36 (step @p25 :rule trans :premises (@p24 @p22)) % 0.18/0.36 (step @p26 :rule nary_cong :premises (@p25 @p14 @p13) :args (@t14)) % 0.18/0.36 (step @p27 :rule aci_norm :args ((= @t15 @t14))) % 0.18/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.18/0.36 (step @p29 :rule cong :premises (@p28) :args (@t16)) % 0.18/0.36 (step @p30 :rule trans :premises (@p29 @p12)) % 0.18/0.36 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 0.18/0.36 (step @p32 :rule quant-merge-prenex :args ((= @t17 @t18))) % 0.18/0.36 (step @p33 :rule symm :premises (@p32)) % 0.18/0.36 (step @p34 :rule quant_var_reordering :args ((= (forall @t4 @t15) @t18))) % 0.18/0.36 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.18/0.36 (step @p36 :rule trans :premises (@p35 @p11)) % 0.18/0.36 (step @p37 :rule refl :args (@t3)) % 0.18/0.36 (step @p38 :rule eq-symm :args (@t9 @t1)) % 0.18/0.36 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t19)) % 0.18/0.36 (step @p40 :rule cong :premises (@p39) :args ((forall @t4 @t19))) % 0.18/0.36 (step @p41 :rule trans :premises (@p40 @p36)) % 0.18/0.36 (step @p42 :rule bool-not-eq-elim1 :args (@t2 @t1)) % 0.18/0.36 (step @p43 :rule nary_cong :premises (@p42 @p13) :args ((or @t11 @t3))) % 0.18/0.36 (step @p44 :rule bool-impl-elim :args (@t3 @t3)) % 0.18/0.36 (step @p45 :rule trans :premises (@p44 @p43)) % 0.18/0.36 (step @p46 :rule cong :premises (@p45) :args (@t5)) % 0.18/0.36 (step @p47 :rule trans :premises (@p46 @p41)) % 0.18/0.36 (step @p48 :rule cong :premises (@p47) :args (@t6)) % 0.18/0.36 (step @p49 :rule trans :premises (@p48 @p3)) % 0.18/0.36 (step @p50 false :rule eq_resolve :premises (@p1 @p49)) % 0.18/0.36 ) % 0.18/0.36 % SZS output end Proof % 0.18/0.36 % cvc5 exiting %------------------------------------------------------------------------------