TSTP Solution File: ITP010+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n026.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  : 600s
% DateTime : Sun Jul 17 00:41:57 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.14/0.14  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35  % CPULimit : 300
% 0.20/0.35  % WCLimit  : 600
% 0.20/0.35  % DateTime : Fri Jun  3 23:27:13 EDT 2022
% 0.20/0.36  % CPUTime  : 
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  (* PROOF-FOUND *)
% 0.20/0.42  (* BEGIN-PROOF *)
% 0.20/0.42  % SZS output start Proof
% 0.20/0.42  1. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))   ### Axiom
% 0.20/0.42  2. (-. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))) (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))   ### NotNot 1
% 0.20/0.42  3. (-. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))) (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))   ### Axiom
% 0.20/0.42  4. (-. ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))))   ### NotEquiv 2 3
% 0.20/0.42  5. (-. (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))))))   ### NotAllEx 4
% 0.20/0.42  6. (-. (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0)))))))))   ### NotAllEx 5
% 0.20/0.42  7. (-. (All A_27b, (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))))))))   ### NotAllEx 6
% 0.20/0.42  8. (-. (All A_27a, (All A_27b, (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0)))))))))))   ### NotAllEx 7
% 0.20/0.42  % SZS output end Proof
% 0.20/0.42  (* END-PROOF *)
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