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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR066+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 09:41:06 AM UTC 2026

% Result   : Theorem 1.26s 0.39s
% Output   : Proof 1.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR066+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17  % Computer : n020.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 22:24:19 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.26/0.39  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 1.26/0.39  
% 1.26/0.39  % SZS status Theorem
% 1.26/0.39  
% 1.26/0.40  % SZS output start Proof
% 1.26/0.40  Axiom 1 (just11): shavingrazor_manual(c_theprototypicalshavingrazor_manual) = true.
% 1.26/0.40  Axiom 2 (just10): relationexistsall(c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = true.
% 1.26/0.40  Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.26/0.40  Axiom 4 (just31): ifeq(shavingrazor_manual(X), true, isa(X, c_shavingrazor_manual), true) = true.
% 1.26/0.40  Axiom 5 (just32): ifeq(isa(X, c_tptpcol_16_25972), true, tptpcol_16_25972(X), true) = true.
% 1.26/0.40  Axiom 6 (just9): ifeq(shavingrazor_manual(X), true, tptp_8_271(f_relationexistsallfn(X, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), X), true) = true.
% 1.26/0.40  Axiom 7 (just4): ifeq(relationexistsall(X, Y, Z), true, ifeq(isa(W, Z), true, isa(f_relationexistsallfn(W, X, Y, Z), Y), true), true) = true.
% 1.26/0.40  
% 1.26/0.40  Goal 1 (query66_1): tuple2(tptp_8_271(X, c_theprototypicalshavingrazor_manual), tptpcol_16_25972(X)) = tuple2(true, true).
% 1.26/0.40  The goal is true when:
% 1.26/0.40    X = f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)
% 1.26/0.40  
% 1.26/0.40  Proof:
% 1.26/0.40    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)))
% 1.26/0.40  = { by axiom 3 (ifeq_axiom) R->L }
% 1.26/0.40    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(true, true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.40  = { by axiom 7 (just4) R->L }
% 1.26/0.40    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(relationexistsall(c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), true, ifeq(isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual), true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 2 (just10) }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(true, true, ifeq(isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual), true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 3 (ifeq_axiom) }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual), true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 3 (ifeq_axiom) R->L }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(ifeq(true, true, isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual), true), true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 1 (just11) R->L }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(ifeq(shavingrazor_manual(c_theprototypicalshavingrazor_manual), true, isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual), true), true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 4 (just31) }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(ifeq(true, true, isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 3 (ifeq_axiom) }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), ifeq(isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_tptpcol_16_25972), true, tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual)), true))
% 1.26/0.41  = { by axiom 5 (just32) }
% 1.26/0.41    tuple2(tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), true)
% 1.26/0.41  = { by axiom 3 (ifeq_axiom) R->L }
% 1.26/0.41    tuple2(ifeq(true, true, tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), true), true)
% 1.26/0.41  = { by axiom 1 (just11) R->L }
% 1.26/0.41    tuple2(ifeq(shavingrazor_manual(c_theprototypicalshavingrazor_manual), true, tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual), c_theprototypicalshavingrazor_manual), true), true)
% 1.26/0.41  = { by axiom 6 (just9) }
% 1.26/0.41    tuple2(true, true)
% 1.26/0.41  % SZS output end Proof
% 1.26/0.41  
% 1.26/0.41  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------