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 v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 : Thu Aug 31 03:14:30 EDT 2023
% Result : Theorem 0.17s 0.52s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.16 % Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.17 % Command : do_cvc5 %s %d
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Aug 27 16:19:16 EDT 2023
% 0.12/0.37 % CPUTime :
% 0.17/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wMYx9SVESh/cvc5---1.0.5_30500.p...
% 0.17/0.52 ------- get file name : TPTP file name is ITP010+1
% 0.17/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30500.smt2...
% 0.17/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.52 % SZS status Theorem for ITP010+1
% 0.17/0.52 % SZS output start Proof for ITP010+1
% 0.17/0.52 (
% 0.17/0.52 (let ((_let_1 (not (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (let ((_let_1 (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))))))) (= _let_1 _let_1)))))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_4 (not _let_3))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (=> (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (= (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V0f_2E0) _let_1)) (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V1g_2E0) _let_1)))))) (= (tptp.s _let_1 V0f_2E0) (tptp.s _let_1 V1g_2E0))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (=> (= (tptp.p _let_2) (tptp.p _let_1)) (= _let_2 _let_1))))) _let_2 _let_4 (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (or (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))) (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27a) tptp.combin_i_2E0) _let_1)) _let_1))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0x_2E0 $$unsorted) (V1y_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27b A_27a))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_2) tptp.combin_k_2E0) _let_1)) (tptp.s A_27b V1y_2E0))) _let_1)))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (A_27c $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted) (V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (let ((_let_3 (tptp.s _let_2 V1g_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun A_27b A_27c))) (let ((_let_5 (tptp.tyop_2Emin_2Efun A_27a _let_4))) (let ((_let_6 (tptp.s _let_5 V0f_2E0))) (let ((_let_7 (tptp.tyop_2Emin_2Efun A_27a A_27c))) (let ((_let_8 (tptp.tyop_2Emin_2Efun _let_2 _let_7))) (= (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s _let_8 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_5 _let_8) tptp.combin_s_2E0) _let_6)) _let_3)) _let_1)) (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 _let_6 _let_1)) (tptp.s A_27b (tptp.app_2E2 _let_3 _let_1)))))))))))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 _let_2 _let_1))) (and (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 _let_2 _let_1))) (or (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 _let_1))) (not (tptp.p _let_1))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 _let_2 _let_1))) (=> (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((A_27a $$unsorted) (V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V1_2E0))) (let ((_let_2 (tptp.s A_27a V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 _let_2 _let_1))) (= _let_2 _let_1))))) (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 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))) (forall ((A_27a $$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))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (and (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_2F_5C_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (or (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_5C_2F_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (= (not (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_7E_2E0) _let_1)))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (=> (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Emin_2E_3D_3D_3E_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a X1_2E0))) (let ((_let_2 (tptp.s A_27a X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (= (= _let_2 _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_3) tptp.c_2Emin_2E_3D_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_21_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_3F_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 X0_2E0))) (let ((_let_5 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_4 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_5 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_3 _let_5) tptp.c_2Ecardinal_2Ecardleq_2E0) _let_4)) _let_2))))))))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 X0_2E0))) (let ((_let_5 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_4 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_5 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_3 _let_5) tptp.c_2Ecardinal_2Ecardleq_2E0) _let_4)) _let_2))))))))) _let_2 (forall ((V0t_2E0 $$unsorted)) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (forall ((A_27a $$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)))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)))) (and (= (=> _let_3 _let_1) _let_1) (= (=> _let_1 _let_3) _let_3) (= (=> _let_2 _let_1) _let_3) (= (=> _let_1 _let_1) _let_3) (= (=> _let_1 _let_2) (not _let_1))))))) (and (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (not (not _let_1)) _let_1))) (= (not _let_2) _let_3) (= _let_4 _let_2)) (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (= (= _let_1 _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (let ((_let_2 (tptp.p _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (let ((_let_5 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0))) (and (= (= _let_5 _let_1) _let_2) (= (= _let_1 _let_5) _let_2) (= (= _let_4 _let_1) _let_3) (= (= _let_1 _let_4) _let_3)))))))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (let ((_let_1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))) (or (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_1 _let_2))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_2 _let_1))))))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0)))) (= (not (not _let_1)) _let_1))) (forall ((V0A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (=> _let_1 (=> (not _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))))) (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)))) (= (=> (not (or _let_3 _let_2)) _let_1) (=> (=> _let_3 _let_1) (=> (not _let_2) _let_1))))))) (forall ((V0B_2E0 $$unsorted) (V1A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0B_2E0)))) (let ((_let_3 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1A_2E0)))) (= (=> (not (or (not _let_3) _let_2)) _let_1) (=> _let_3 (=> (not _let_2) _let_1))))))) (forall ((V0A_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0A_2E0)))) (=> (=> (not _let_2) _let_1) (=> (=> _let_2 _let_1) _let_1))))) (forall ((V0r_2E0 $$unsorted) (V1q_2E0 $$unsorted) (V2p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V2p_2E0)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.s tptp.tyop_2Emin_2Ebool V1q_2E0))) (let ((_let_4 (tptp.p _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.s tptp.tyop_2Emin_2Ebool V0r_2E0))) (let ((_let_7 (tptp.p _let_6))) (let ((_let_8 (not _let_7))) (= (= _let_1 (= _let_3 _let_6)) (and (or _let_1 _let_4 _let_7) (or _let_1 _let_8 _let_5) (or _let_4 _let_8 _let_2) (or _let_7 _let_5 _let_2)))))))))))) (forall ((V0q_2E0 $$unsorted) (V1p_2E0 $$unsorted)) (let ((_let_1 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V1p_2E0)))) (let ((_let_2 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool V0q_2E0)))) (let ((_let_3 (not _let_2))) (= (= _let_1 _let_3) (and (or _let_1 _let_2) (or _let_3 (not _let_1)))))))) _let_1 true)))))))
% 0.17/0.52 )
% 0.17/0.52 % SZS output end Proof for ITP010+1
% 0.17/0.52 % cvc5---1.0.5 exiting
% 0.17/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------