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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 09:41:03 AM UTC 2026

% Result   : Theorem 0.35s 0.45s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.27  % Computer : n002.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 22:24:36 UTC 2026
% 0.11/0.27  % CPUTime  : 
% 0.11/0.27  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.45  Command-line arguments: --no-flatten-goal
% 0.35/0.45  
% 0.35/0.45  % SZS status Theorem
% 0.35/0.45  
% 0.35/0.46  % SZS output start Proof
% 0.35/0.46  Axiom 1 (query62): mtvisible(c_tptp_member3205_mt) = true.
% 0.35/0.46  Axiom 2 (just12): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true.
% 0.35/0.46  Axiom 3 (just13): genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt) = true.
% 0.35/0.46  Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.35/0.46  Axiom 5 (just14): ifeq(mtvisible(c_cyclistsmt), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true) = true.
% 0.35/0.46  Axiom 6 (just7): ifeq(tptptypes_6_388(X, Y), true, tptptypes_5_387(X, Y), true) = true.
% 0.35/0.46  Axiom 7 (just9): ifeq(tptptypes_7_389(X, Y), true, tptptypes_6_388(Y, X), true) = true.
% 0.35/0.46  Axiom 8 (just11): ifeq(tptptypes_8_390(X, Y), true, tptptypes_7_389(X, Y), true) = true.
% 0.35/0.47  Axiom 9 (just53): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.35/0.47  
% 0.35/0.47  Goal 1 (query62_1): tptptypes_5_387(X, c_pushingwithfingers) = true.
% 0.35/0.47  The goal is true when:
% 0.35/0.47    X = c_tptpcol_15_4027
% 0.35/0.47  
% 0.35/0.47  Proof:
% 0.35/0.47    tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) R->L }
% 0.35/0.47    ifeq(true, true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 7 (just9) R->L }
% 0.35/0.47    ifeq(ifeq(tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(true, true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 5 (just14) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(mtvisible(c_cyclistsmt), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_cyclistsmt), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 9 (just53) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3205_mt), true, ifeq(genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 3 (just13) }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3205_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 1 (query62) }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 2 (just12) R->L }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true, mtvisible(c_cyclistsmt), true), true), true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 9 (just53) }
% 0.35/0.47    ifeq(ifeq(ifeq(ifeq(true, true, tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) }
% 0.35/0.47    ifeq(ifeq(ifeq(tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true, tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true), true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 8 (just11) }
% 0.35/0.47    ifeq(ifeq(true, true, tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 4 (ifeq_axiom) }
% 0.35/0.47    ifeq(tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true, tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), true)
% 0.35/0.47  = { by axiom 6 (just7) }
% 0.35/0.47    true
% 0.35/0.47  % SZS output end Proof
% 0.35/0.47  
% 0.35/0.47  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------