%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV168^5 : 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 : n025.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 08:55:33 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV168^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 18:17:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort tptp.a 0) % 0.29/0.54 (declare-const tptp.p (-> (-> tptp.a tptp.a tptp.a) tptp.a)) % 0.29/0.54 (declare-const tptp.q (-> (-> tptp.a tptp.a tptp.a) tptp.a)) % 0.29/0.54 (define @t1 () (@var "Xy" tptp.a)) % 0.29/0.54 (define @t2 () (@var "Xx" tptp.a)) % 0.29/0.54 (define @t3 () (@list @t2 @t1)) % 0.29/0.54 (define @t4 () (@var "Xg" (-> tptp.a tptp.a tptp.a))) % 0.29/0.54 (define @t5 () (lambda (@list @t4) (_ (_ @t4 (_ tptp.q (lambda @t3 @t2))) (_ tptp.q (lambda @t3 @t1))))) % 0.29/0.54 (define @t6 () (= tptp.p @t5)) % 0.29/0.54 (define @t7 () (= tptp.q @t5)) % 0.29/0.54 (define @t8 () (and @t7 @t6)) % 0.29/0.54 (define @t9 () (=> @t8 (= tptp.p tptp.q))) % 0.29/0.54 (define @t10 () (not @t9)) % 0.29/0.54 (define @t11 () (@purify @t5)) % 0.29/0.54 (define @t12 () (=> @t7 @t7)) % 0.29/0.54 (define @t13 () (and @t7 (= @t5 @t5))) % 0.29/0.54 (define @t14 () (=> @t13 @t7)) % 0.29/0.54 (define @t15 () (= tptp.q tptp.p)) % 0.29/0.54 (define @t16 () (=> @t8 @t15)) % 0.29/0.54 (assume @p1 @t10) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule eq-refl :args (@t5)) % 0.29/0.54 (step @p4 :rule skolem_intro :args (@t11)) % 0.29/0.54 (step @p5 :rule refl :args (@t5)) % 0.29/0.54 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t5 @t11))) % 0.29/0.54 (step @p7 :rule trans :premises (@p6 @p3)) % 0.29/0.54 (step @p8 :rule true_elim :premises (@p7)) % 0.29/0.54 (step @p9 :rule refl :args (tptp.q)) % 0.29/0.54 (step @p10 :rule cong :premises (@p9 @p8) :args (@t7)) % 0.29/0.54 (step @p11 :rule cong :premises (@p10 @p10) :args (@t12)) % 0.29/0.54 (step @p12 :rule cong :premises (@p11) :args ((not @t12))) % 0.29/0.54 (step @p13 :rule refl :args (@t7)) % 0.29/0.54 (step @p14 :rule aci_norm :args ((= (and @t7 true) @t7))) % 0.29/0.54 (step @p15 :rule nary_cong :premises (@p13 @p3) :args (@t13)) % 0.29/0.54 (step @p16 :rule trans :premises (@p15 @p14)) % 0.29/0.54 (step @p17 :rule cong :premises (@p16 @p13) :args (@t14)) % 0.29/0.54 (step @p18 :rule cong :premises (@p17) :args ((not @t14))) % 0.29/0.54 (step @p19 :rule eq-symm :args (tptp.p tptp.q)) % 0.29/0.54 (step @p20 :rule refl :args (@t8)) % 0.29/0.54 (step @p21 :rule cong :premises (@p20 @p19) :args (@t9)) % 0.29/0.54 (step @p22 :rule cong :premises (@p21) :args (@t10)) % 0.29/0.54 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.29/0.54 (step @p24 :rule not_implies_elim1 :premises (@p23)) % 0.29/0.54 (step @p25 :rule and_elim :premises (@p24) :args (1)) % 0.29/0.54 (step @p26 :rule cong :premises (@p9 @p25) :args (@t15)) % 0.29/0.54 (step @p27 :rule cong :premises (@p25 @p5) :args (@t6)) % 0.29/0.54 (step @p28 :rule nary_cong :premises (@p13 @p27) :args (@t8)) % 0.29/0.54 (step @p29 :rule cong :premises (@p28 @p26) :args (@t16)) % 0.29/0.54 (step @p30 :rule cong :premises (@p29) :args ((not @t16))) % 0.29/0.54 (step @p31 :rule trans :premises (@p30 @p18)) % 0.29/0.54 (step @p32 :rule trans :premises (@p22 @p31 @p12)) % 0.29/0.54 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.29/0.54 (step @p34 :rule not_implies_elim1 :premises (@p33)) % 0.29/0.54 (step @p35 :rule not_implies_elim2 :premises (@p33)) % 0.29/0.54 (step @p36 false :rule chain_m_resolution :premises (@p35 @p34) :args (false (@list false) (@list (= tptp.q @t11)))) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------