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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:41:00 AM UTC 2026

% Result   : Theorem 18.20s 2.54s
% Output   : Proof 18.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR055+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.15  % Computer : n012.cluster.edu
% 0.08/0.15  % Model    : x86_64 x86_64
% 0.08/0.15  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15  % Memory   : 8046.5625MB
% 0.08/0.15  % OS       : Linux 6.8.0-71-generic
% 0.08/0.15  % CPULimit : 300
% 0.08/0.15  % WCLimit  : 300
% 0.08/0.15  % DateTime : Mon Sep 28 22:18:48 UTC 2026
% 0.08/0.15  % CPUTime  : 
% 0.08/0.15  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.20/2.54  Command-line arguments: --no-flatten-goal
% 18.20/2.54  
% 18.20/2.54  % SZS status Theorem
% 18.20/2.54  
% 18.20/2.54  % SZS output start Proof
% 18.20/2.54  Axiom 1 (ax1_201): individual(c_xskijump_thegame) = true.
% 18.20/2.54  Axiom 2 (query105): disjointwith(c_xskijump_thegame, c_tptpcol_16_35301) = true.
% 18.20/2.54  Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 18.20/2.54  Axiom 4 (ax1_1119): ifeq(disjointwith(X, Y), true, collection(X), true) = true.
% 18.20/2.54  
% 18.20/2.54  Goal 1 (ax1_289): tuple2(individual(X), collection(X)) = tuple2(true, true).
% 18.20/2.54  The goal is true when:
% 18.20/2.54    X = c_xskijump_thegame
% 18.20/2.54  
% 18.20/2.54  Proof:
% 18.20/2.54    tuple2(individual(c_xskijump_thegame), collection(c_xskijump_thegame))
% 18.20/2.54  = { by axiom 3 (ifeq_axiom) R->L }
% 18.20/2.54    tuple2(individual(c_xskijump_thegame), ifeq(true, true, collection(c_xskijump_thegame), true))
% 18.20/2.54  = { by axiom 2 (query105) R->L }
% 18.20/2.54    tuple2(individual(c_xskijump_thegame), ifeq(disjointwith(c_xskijump_thegame, c_tptpcol_16_35301), true, collection(c_xskijump_thegame), true))
% 18.20/2.54  = { by axiom 4 (ax1_1119) }
% 18.20/2.54    tuple2(individual(c_xskijump_thegame), true)
% 18.20/2.54  = { by axiom 1 (ax1_201) }
% 18.20/2.54    tuple2(true, true)
% 18.20/2.54  % SZS output end Proof
% 18.20/2.54  
% 18.20/2.54  RESULT: Theorem (the conjecture is true).
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