%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP001^2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:24:20 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP001^2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:32:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.del 0) % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.37/0.56 (declare-const tptp.lam (-> tptp.del (-> $$unsorted $$unsorted) $$unsorted)) % 0.37/0.56 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.37/0.56 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.37/0.56 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.37/0.56 (declare-const tptp.bool tptp.del) % 0.37/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.inj__o (-> Bool $$unsorted)) % 0.37/0.56 (define @t1 () (@var "X" Bool)) % 0.37/0.56 (define @t2 () (_ tptp.inj__o @t1)) % 0.37/0.56 (define @t3 () (@list @t1)) % 0.37/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t5 () (_ tptp.mem @t4)) % 0.37/0.56 (define @t6 () (@list @t4)) % 0.37/0.56 (define @t7 () (@var "B" tptp.del)) % 0.37/0.56 (define @t8 () (@var "F" $$unsorted)) % 0.37/0.56 (define @t9 () (_ (_ tptp.ap @t8) @t4)) % 0.37/0.56 (define @t10 () (@var "A" tptp.del)) % 0.37/0.56 (define @t11 () (_ @t5 @t10)) % 0.37/0.56 (define @t12 () (_ (_ tptp.arr @t10) @t7)) % 0.37/0.56 (define @t13 () (_ (_ tptp.mem @t8) @t12)) % 0.37/0.56 (define @t14 () (@list @t10 @t7 @t8)) % 0.37/0.56 (define @t15 () (@var "F" (-> $$unsorted $$unsorted))) % 0.37/0.56 (define @t16 () (_ (_ tptp.lam @t10) @t15)) % 0.37/0.56 (define @t17 () (_ @t15 @t4)) % 0.37/0.56 (define @t18 () (@var "G" $$unsorted)) % 0.37/0.56 (define @t19 () (@var "A_27a" tptp.del)) % 0.37/0.56 (define @t20 () (_ tptp.arr @t19)) % 0.37/0.56 (define @t21 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t22 () (@var "V1x" $$unsorted)) % 0.37/0.56 (define @t23 () (_ tptp.lam tptp.bool)) % 0.37/0.56 (define @t24 () (@var "V0x" $$unsorted)) % 0.37/0.56 (define @t25 () (not true)) % 0.37/0.56 (assume @p1 (forall @t3 (= (_ tptp.p @t2) @t1))) % 0.37/0.56 (assume @p2 (forall @t3 (_ (_ tptp.mem @t2) tptp.bool))) % 0.37/0.56 (assume @p3 (forall @t6 (=> (_ @t5 tptp.bool) (= @t4 (_ tptp.inj__o (_ tptp.p @t4)))))) % 0.37/0.56 (assume @p4 (forall @t14 (=> @t13 (forall @t6 (=> @t11 (_ (_ tptp.mem @t9) @t7)))))) % 0.37/0.56 (assume @p5 (forall (@list @t10 @t7 @t15) (=> (forall @t6 (=> @t11 (_ (_ tptp.mem @t17) @t7))) (_ (_ tptp.mem @t16) @t12)))) % 0.37/0.56 (assume @p6 (forall @t14 (=> @t13 (forall (@list @t18) (=> (_ (_ tptp.mem @t18) @t12) (=> (forall @t6 (=> @t11 (= @t9 (_ (_ tptp.ap @t18) @t4)))) (= @t8 @t18))))))) % 0.37/0.56 (assume @p7 (forall (@list @t10 @t15 @t4) (=> @t11 (= (_ (_ tptp.ap @t16) @t4) @t17)))) % 0.37/0.56 (assume @p8 (_ (_ tptp.mem tptp.c_2Ebool_2ET) tptp.bool)) % 0.37/0.56 (assume @p9 (_ tptp.p tptp.c_2Ebool_2ET)) % 0.37/0.56 (assume @p10 (forall (@list @t19) (_ (_ tptp.mem (_ tptp.c_2Emin_2E_3D @t19)) (_ @t20 (_ @t20 tptp.bool))))) % 0.37/0.56 (assume @p11 (forall (@list @t10 @t4) (=> @t11 (forall (@list @t21) (=> (_ (_ tptp.mem @t21) @t10) (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap (_ tptp.c_2Emin_2E_3D @t10)) @t4)) @t21)) (= @t4 @t21))))))) % 0.37/0.56 (assume @p12 (= true (= (_ @t23 (lambda (@list @t24) @t24)) (_ @t23 (lambda (@list @t22) @t22))))) % 0.37/0.56 (assume @p13 @t25) % 0.37/0.56 (assume @p14 true) % 0.37/0.56 (step @p15 :rule evaluate :args (@t25)) % 0.37/0.56 (step @p16 false :rule eq_resolve :premises (@p13 @p15)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------