%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO189^5 : 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 : 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 09:12:11 AM UTC 2026 % Result : Theorem 0.28s 0.56s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO189^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n020.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 00:00:41 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.28/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.56 % SZS status Theorem % 0.28/0.56 % SZS output start Proof % 0.28/0.56 ( % 0.28/0.56 (define @t1 () (@var "Xy" Bool)) % 0.28/0.56 (define @t2 () (@var "Xx" Bool)) % 0.28/0.56 (define @t3 () (@list @t1)) % 0.28/0.56 (define @t4 () (forall @t3 (=> @t2 @t1))) % 0.28/0.56 (define @t5 () (@list @t2)) % 0.28/0.56 (define @t6 () (exists @t5 @t4)) % 0.28/0.56 (define @t7 () (not @t6)) % 0.28/0.56 (define @t8 () (not @t2)) % 0.28/0.56 (define @t9 () (not @t8)) % 0.28/0.56 (define @t10 () (or @t2 @t2)) % 0.28/0.56 (define @t11 () (forall @t5 @t9)) % 0.28/0.56 (define @t12 () (not @t11)) % 0.28/0.56 (define @t13 () (or @t1 @t1)) % 0.28/0.56 (define @t14 () (forall @t3 @t1)) % 0.28/0.56 (define @t15 () (or @t8 @t14)) % 0.28/0.56 (assume @p1 @t7) % 0.28/0.56 (assume @p2 true) % 0.28/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.28/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.28/0.56 (step @p5 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t2 false)) @t2)) false))) % 0.28/0.56 (step @p6 :rule refl :args (@t2)) % 0.28/0.56 (step @p7 :rule bool-eq-false :args (@t2)) % 0.28/0.56 (step @p8 :rule symm :premises (@p7)) % 0.28/0.56 (step @p9 :rule cong :premises (@p8) :args (@t9)) % 0.28/0.56 (step @p10 :rule bool-double-not-elim :args (@t2)) % 0.28/0.56 (step @p11 :rule symm :premises (@p10)) % 0.28/0.56 (step @p12 :rule trans :premises (@p11 @p9)) % 0.28/0.56 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t10)) % 0.28/0.56 (step @p14 :rule aci_norm :args ((= @t2 @t10))) % 0.28/0.56 (step @p15 :rule trans :premises (@p14 @p13)) % 0.28/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 @t2))) % 0.28/0.56 (step @p17 :rule trans :premises (@p16 @p5)) % 0.28/0.56 (step @p18 :rule cong :premises (@p10) :args (@t11)) % 0.28/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.28/0.56 (step @p20 :rule cong :premises (@p19) :args (@t12)) % 0.28/0.56 (step @p21 :rule trans :premises (@p20 @p4)) % 0.28/0.56 (step @p22 :rule exists-elim :args ((= (exists @t5 @t8) @t12))) % 0.28/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.28/0.56 (step @p24 :rule aci_norm :args ((= (or @t8 false) @t8))) % 0.28/0.56 (step @p25 :rule quant-var-elim-eq :args ((= (forall @t3 (or (not (= @t1 false)) @t1)) false))) % 0.28/0.56 (step @p26 :rule refl :args (@t1)) % 0.28/0.56 (step @p27 :rule bool-eq-false :args (@t1)) % 0.28/0.56 (step @p28 :rule symm :premises (@p27)) % 0.28/0.56 (step @p29 :rule cong :premises (@p28) :args ((not (not @t1)))) % 0.28/0.56 (step @p30 :rule bool-double-not-elim :args (@t1)) % 0.28/0.56 (step @p31 :rule symm :premises (@p30)) % 0.28/0.56 (step @p32 :rule trans :premises (@p31 @p29)) % 0.28/0.56 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t13)) % 0.28/0.56 (step @p34 :rule aci_norm :args ((= @t1 @t13))) % 0.28/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.28/0.56 (step @p36 :rule cong :premises (@p35) :args (@t14)) % 0.28/0.56 (step @p37 :rule trans :premises (@p36 @p25)) % 0.28/0.56 (step @p38 :rule refl :args (@t8)) % 0.28/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t15)) % 0.28/0.56 (step @p40 :rule trans :premises (@p39 @p24)) % 0.28/0.56 (step @p41 :rule quant-miniscope-or :args ((= (forall @t3 (or @t8 @t1)) @t15))) % 0.28/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.28/0.56 (step @p43 :rule bool-impl-elim :args (@t2 @t1)) % 0.28/0.56 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 0.28/0.56 (step @p45 :rule trans :premises (@p44 @p42)) % 0.28/0.56 (step @p46 :rule cong :premises (@p45) :args (@t6)) % 0.28/0.56 (step @p47 :rule trans :premises (@p46 @p23)) % 0.28/0.56 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 0.28/0.56 (step @p49 :rule trans :premises (@p48 @p3)) % 0.28/0.56 (step @p50 false :rule eq_resolve :premises (@p1 @p49)) % 0.28/0.56 ) % 0.28/0.56 % SZS output end Proof % 0.28/0.56 % cvc5 exiting %------------------------------------------------------------------------------