TSTP Solution File: ITP010+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP010+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n007.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 May 29 17:11:44 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP010+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 26 03:52:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.OoCnozYFwb/cvc5---1.0.5_18010.smt2
% 0.21/0.55 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.OoCnozYFwb/cvc5---1.0.5_18010.smt2
% 0.21/0.55 (assume a0 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted)) (=> (forall ((V2x_2E0 $$unsorted)) (= (tptp.s A_27b (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V0f_2E0) (tptp.s A_27a V2x_2E0))) (tptp.s A_27b (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V1g_2E0) (tptp.s A_27a V2x_2E0))))) (= (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V0f_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V1g_2E0)))))
% 0.21/0.55 (assume a1 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (=> (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0)))))
% 0.21/0.55 (assume a2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))
% 0.21/0.55 (assume a3 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))
% 0.21/0.55 (assume a4 (forall ((V0t_2E0 $$unsorted)) (or (= (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0) (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (= (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0) (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))
% 0.21/0.55 (assume a5 (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27a) tptp.combin_i_2E0) (tptp.s A_27a V0x_2E0))) (tptp.s A_27a V0x_2E0))))
% 0.21/0.55 (assume a6 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0x_2E0 $$unsorted) (V1y_2E0 $$unsorted)) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b A_27a) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b A_27a)) tptp.combin_k_2E0) (tptp.s A_27a V0x_2E0))) (tptp.s A_27b V1y_2E0))) (tptp.s A_27a V0x_2E0))))
% 0.21/0.55 (assume a7 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (A_27c $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted) (V2x_2E0 $$unsorted)) (= (tptp.s A_27c (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27c) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a A_27b) (tptp.tyop_2Emin_2Efun A_27a A_27c)) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b A_27c)) (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a A_27b) (tptp.tyop_2Emin_2Efun A_27a A_27c))) tptp.combin_s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b A_27c)) V0f_2E0))) (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V1g_2E0))) (tptp.s A_27a V2x_2E0))) (tptp.s A_27c (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b A_27c) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b A_27c)) V0f_2E0) (tptp.s A_27a V2x_2E0))) (tptp.s A_27b (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V1g_2E0) (tptp.s A_27a V2x_2E0))))))))
% 0.21/0.55 (assume a8 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0)))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))))))
% 0.21/0.55 (assume a9 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0)))) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))))))
% 0.21/0.55 (assume a10 (forall ((V0_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))))))
% 0.21/0.55 (assume a11 (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0)))) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))))))
% 0.21/0.55 (assume a12 (forall ((A_27a $$unsorted) (V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 (tptp.s A_27a V0_2E0) (tptp.s A_27a V1_2E0)))) (= (tptp.s A_27a V0_2E0) (tptp.s A_27a V1_2E0)))))
% 0.21/0.55 (assume a13 (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))))
% 0.21/0.55 (assume a14 (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (exists ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))))
% 0.21/0.55 (assume a15 (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) tptp.c_2Ebool_2E_2F_5C_2E0) (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0)))))))
% 0.21/0.55 (assume a16 (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) tptp.c_2Ebool_2E_5C_2F_2E0) (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0)))))))
% 0.21/0.55 (assume a17 (forall ((X0_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_7E_2E0) (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0)))))))
% 0.21/0.55 (assume a18 (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) tptp.c_2Emin_2E_3D_3D_3E_2E0) (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0)))))))
% 0.21/0.55 (assume a19 (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (= (tptp.s A_27a X0_2E0) (tptp.s A_27a X1_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool)) tptp.c_2Emin_2E_3D_2E0) (tptp.s A_27a X0_2E0))) (tptp.s A_27a X1_2E0)))))))
% 0.21/0.55 (assume a20 (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_21_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0))))))
% 0.21/0.55 (assume a21 (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_3F_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0))))))
% 0.21/0.55 (assume a22 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) X1_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool)) tptp.c_2Ecardinal_2Ecardleq_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X0_2E0))) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) X1_2E0))))))
% 0.21/0.55 (assume a23 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) X0_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X1_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool) (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) (tptp.tyop_2Emin_2Efun (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool)) tptp.c_2Ecardinal_2Ecardleq_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) X0_2E0))) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) X1_2E0))))))
% 0.21/0.55 (assume a24 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))
% 0.21/0.55 (assume a25 (forall ((V0t_2E0 $$unsorted)) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))))
% 0.21/0.55 (assume a26 (forall ((A_27a $$unsorted) (V0t_2E0 $$unsorted)) (= (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))))
% 0.21/0.55 (assume a27 (forall ((V0t_2E0 $$unsorted)) (and (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (= (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))))))
% 0.21/0.55 (assume a28 (and (forall ((V0t_2E0 $$unsorted)) (= (not (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))))
% 0.21/0.55 (assume a29 (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (= (= (tptp.s A_27a V0x_2E0) (tptp.s A_27a V0x_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))))
% 0.21/0.55 (assume a30 (forall ((V0t_2E0 $$unsorted)) (and (= (= (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (= (= (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0) (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (= (= (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (= (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0) (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))))))
% 0.21/0.55 (assume a31 (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0)))))))
% 0.21/0.55 (assume a32 (forall ((V0t_2E0 $$unsorted)) (= (not (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))))
% 0.21/0.55 (assume a33 (forall ((V0A_2E0 $$unsorted)) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)) (=> (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))))
% 0.21/0.55 (assume a34 (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (= (=> (not (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (=> (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (=> (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))))
% 0.21/0.55 (assume a35 (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (= (=> (not (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)) (=> (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))))
% 0.21/0.55 (assume a36 (forall ((V0A_2E0 $$unsorted)) (=> (=> (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (=> (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))))
% 0.21/0.55 (assume a37 (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (= (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)) (= (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0) (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (and (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)))) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0))))))))
% 0.21/0.55 (assume a38 (forall ((V0q_2E0 $$unsorted) (V1p_2E0 $$unsorted)) (= (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1p_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0q_2E0)))) (and (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1p_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0q_2E0))) (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0q_2E0))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1p_2E0))))))))
% 0.21/0.55 (assume a39 (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))))))
% 0.21/0.55 (assume a40 true)
% 0.21/0.55 (step t1 (cl (not (= (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))))) false)) (not (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))))))) false) :rule equiv_pos2)
% 0.21/0.55 (anchor :step t2 :args ((A_27a $$unsorted) (:= A_27a A_27a) (A_27b $$unsorted) (:= A_27b A_27b) (V0s_2E0 $$unsorted) (:= V0s_2E0 V0s_2E0) (V1t_2E0 $$unsorted) (:= V1t_2E0 V1t_2E0)))
% 0.21/0.55 (step t2.t1 (cl (= A_27a A_27a)) :rule refl)
% 0.21/0.55 (step t2.t2 (cl (= A_27b A_27b)) :rule refl)
% 0.21/0.55 (step t2.t3 (cl (= V0s_2E0 V0s_2E0)) :rule refl)
% 0.21/0.55 (step t2.t4 (cl (= V1t_2E0 V1t_2E0)) :rule refl)
% 0.21/0.55 (step t2.t5 (cl (= (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))) true)) :rule all_simplify)
% 0.21/0.55 (step t2 (cl (= (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) true))) :rule bind)
% 0.21/0.55 (step t3 (cl (= (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) true) true)) :rule all_simplify)
% 0.21/0.55 (step t4 (cl (= (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))))) true)) :rule trans :premises (t2 t3))
% 0.21/0.55 (step t5 (cl (= (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))))) (not true))) :rule cong :premises (t4))
% 0.21/0.56 (step t6 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.56 (step t7 (cl (= (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (= (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))))) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))))) false)) :rule trans :premises (t5 t6))
% 0.21/0.56 (step t8 (cl false) :rule resolution :premises (t1 t7 a39))
% 0.21/0.56 (step t9 (cl (not false)) :rule false)
% 0.21/0.56 (step t10 (cl) :rule resolution :premises (t8 t9))
% 0.21/0.56
% 0.21/0.56 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.OoCnozYFwb/cvc5---1.0.5_18010.smt2
% 0.21/0.56 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------