%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO368^5 : 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 : n016.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 09:12:30 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO368^5 : 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 % 0.18/0.36 % Computer : n016.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 00:06:39 EDT 2026 % 0.18/0.36 % CPUTime : % 0.34/0.51 %----Proving TH0 % 0.34/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-const tptp.a Bool) % 0.34/0.57 (declare-const tptp.cP (-> Bool Bool)) % 0.34/0.57 (declare-const tptp.b Bool) % 0.34/0.57 (define @t1 () (_ tptp.cP tptp.b)) % 0.34/0.57 (define @t2 () (_ tptp.cP tptp.a)) % 0.34/0.57 (define @t3 () (and (= tptp.a tptp.b) @t2)) % 0.34/0.57 (define @t4 () (=> @t3 @t1)) % 0.34/0.57 (define @t5 () (not @t4)) % 0.34/0.57 (define @t6 () (@purify tptp.a)) % 0.34/0.57 (define @t7 () (tptp.cP @t6)) % 0.34/0.57 (define @t8 () (_ tptp.cP @t6)) % 0.34/0.57 (define @t9 () (=> @t2 @t2)) % 0.34/0.57 (define @t10 () (and (= tptp.a tptp.a) @t2)) % 0.34/0.57 (define @t11 () (=> @t10 @t2)) % 0.34/0.57 (define @t12 () (= tptp.b tptp.a)) % 0.34/0.57 (define @t13 () (and @t12 @t2)) % 0.34/0.57 (define @t14 () (=> @t13 @t1)) % 0.34/0.57 (assume @p1 @t5) % 0.34/0.57 (assume @p2 true) % 0.34/0.57 (step @p3 :rule refl :args (@t7)) % 0.34/0.57 (step @p4 :rule refl :args (@t8)) % 0.34/0.57 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t8 @t7))) % 0.34/0.57 (step @p6 :rule symm :premises (@p5)) % 0.34/0.57 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.34/0.57 (step @p8 :rule eq-refl :args (tptp.a)) % 0.34/0.57 (step @p9 :rule skolem_intro :args (@t6)) % 0.34/0.57 (step @p10 :rule refl :args (tptp.a)) % 0.34/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((= tptp.a @t6))) % 0.34/0.57 (step @p12 :rule trans :premises (@p11 @p8)) % 0.34/0.57 (step @p13 :rule true_elim :premises (@p12)) % 0.34/0.57 (step @p14 :rule refl :args (tptp.cP)) % 0.34/0.57 (step @p15 :rule ho_cong :premises (@p14 @p13)) % 0.34/0.57 (step @p16 :rule trans :premises (@p15 @p7)) % 0.34/0.57 (step @p17 :rule cong :premises (@p16 @p16) :args (@t9)) % 0.34/0.57 (step @p18 :rule cong :premises (@p17) :args ((not @t9))) % 0.34/0.57 (step @p19 :rule refl :args (@t2)) % 0.34/0.57 (step @p20 :rule aci_norm :args ((= (and true @t2) @t2))) % 0.34/0.57 (step @p21 :rule nary_cong :premises (@p8 @p19) :args (@t10)) % 0.34/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.34/0.57 (step @p23 :rule cong :premises (@p22 @p19) :args (@t11)) % 0.34/0.57 (step @p24 :rule cong :premises (@p23) :args ((not @t11))) % 0.34/0.57 (step @p25 :rule refl :args (@t1)) % 0.34/0.57 (step @p26 :rule eq-symm :args (tptp.a tptp.b)) % 0.34/0.57 (step @p27 :rule nary_cong :premises (@p26 @p19) :args (@t3)) % 0.34/0.57 (step @p28 :rule cong :premises (@p27 @p25) :args (@t4)) % 0.34/0.57 (step @p29 :rule cong :premises (@p28) :args (@t5)) % 0.34/0.57 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.34/0.57 (step @p31 :rule not_implies_elim1 :premises (@p30)) % 0.34/0.57 (step @p32 :rule and_elim :premises (@p31) :args (0)) % 0.34/0.57 (step @p33 :rule ho_cong :premises (@p14 @p32)) % 0.34/0.57 (step @p34 :rule cong :premises (@p32 @p10) :args (@t12)) % 0.34/0.57 (step @p35 :rule nary_cong :premises (@p34 @p19) :args (@t13)) % 0.34/0.57 (step @p36 :rule cong :premises (@p35 @p33) :args (@t14)) % 0.34/0.57 (step @p37 :rule cong :premises (@p36) :args ((not @t14))) % 0.34/0.57 (step @p38 :rule trans :premises (@p37 @p24)) % 0.34/0.57 (step @p39 :rule trans :premises (@p29 @p38 @p18)) % 0.34/0.57 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.34/0.57 (step @p41 :rule not_implies_elim1 :premises (@p40)) % 0.34/0.57 (step @p42 :rule not_implies_elim2 :premises (@p40)) % 0.34/0.57 (step @p43 false :rule chain_m_resolution :premises (@p42 @p41) :args (false (@list false) (@list @t7))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------