↑ Up

Twee---2.7.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 12:27:13 PM UTC 2026

% Result   : Theorem 0.14s 0.44s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n010.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 22:07:32 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44  Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.14/0.44  
% 0.14/0.44  % SZS status Theorem
% 0.14/0.44  
% 0.14/0.44  % SZS output start Proof
% 0.14/0.44  Axiom 1 (description_theorem_2_1): object(z) = true.
% 0.14/0.44  Axiom 2 (description_theorem_2_2): property(f) = true.
% 0.14/0.44  Axiom 3 (description_theorem_2_4): is_the(z, f) = true.
% 0.14/0.44  Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.14/0.44  Axiom 5 (lemma_1): ifeq(is_the(X, Y), true, ifeq(property(Y), true, ifeq(object(X), true, exemplifies_property(Y, X), true), true), true) = true.
% 0.14/0.44  
% 0.14/0.44  Goal 1 (description_theorem_2_5): exemplifies_property(f, z) = true.
% 0.14/0.44  Proof:
% 0.14/0.44    exemplifies_property(f, z)
% 0.14/0.44  = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.44    ifeq(true, true, exemplifies_property(f, z), true)
% 0.14/0.44  = { by axiom 1 (description_theorem_2_1) R->L }
% 0.14/0.44    ifeq(object(z), true, exemplifies_property(f, z), true)
% 0.14/0.44  = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.44    ifeq(true, true, ifeq(object(z), true, exemplifies_property(f, z), true), true)
% 0.14/0.44  = { by axiom 2 (description_theorem_2_2) R->L }
% 0.14/0.44    ifeq(property(f), true, ifeq(object(z), true, exemplifies_property(f, z), true), true)
% 0.14/0.44  = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.44    ifeq(true, true, ifeq(property(f), true, ifeq(object(z), true, exemplifies_property(f, z), true), true), true)
% 0.14/0.44  = { by axiom 3 (description_theorem_2_4) R->L }
% 0.14/0.44    ifeq(is_the(z, f), true, ifeq(property(f), true, ifeq(object(z), true, exemplifies_property(f, z), true), true), true)
% 0.14/0.44  = { by axiom 5 (lemma_1) }
% 0.14/0.44    true
% 0.14/0.44  % SZS output end Proof
% 0.14/0.44  
% 0.14/0.44  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------