↑ Up

Twee---2.7.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 0.23s 0.33s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19  % Computer : n004.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 22:20:37 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.33  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
% 0.23/0.33  
% 0.23/0.33  % SZS status Theorem
% 0.23/0.33  
% 0.23/0.33  % SZS output start Proof
% 0.23/0.33  Axiom 1 (query56): mtvisible(c_tptp_member3717_mt) = true.
% 0.23/0.33  Axiom 2 (just8): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true.
% 0.23/0.33  Axiom 3 (just9): genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt) = true.
% 0.23/0.33  Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.23/0.33  Axiom 5 (just12): ifeq(mtvisible(c_cyclistsmt), true, artsupplies(c_tptpartsupplies), true) = true.
% 0.23/0.33  Axiom 6 (just2): ifeq(artsupplies(X), true, supplies(X), true) = true.
% 0.23/0.33  Axiom 7 (just47): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.23/0.33  Axiom 8 (just10): ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(supplies(X), true, tptpofobject(X, f_tptpquantityfn_14(n_232)), true), true) = true.
% 0.23/0.33  
% 0.23/0.33  Goal 1 (query56_1): tptpofobject(c_tptpartsupplies, X) = true.
% 0.23/0.33  The goal is true when:
% 0.23/0.33    X = f_tptpquantityfn_14(n_232)
% 0.23/0.33  
% 0.23/0.33  Proof:
% 0.23/0.33    tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232))
% 0.23/0.33  = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.33    ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true)
% 0.23/0.33  = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.33    ifeq(true, true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.33  = { by axiom 7 (just47) R->L }
% 0.23/0.33    ifeq(ifeq(mtvisible(c_tptp_member3717_mt), true, ifeq(genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.33  = { by axiom 3 (just9) }
% 0.23/0.33    ifeq(ifeq(mtvisible(c_tptp_member3717_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.33  = { by axiom 1 (query56) }
% 0.23/0.33    ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) }
% 0.23/0.34    ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 6 (just2) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(artsupplies(c_tptpartsupplies), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(true, true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 7 (just47) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 2 (just8) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, 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, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 1 (query56) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3717_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 3 (just9) R->L }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3717_mt), true, ifeq(genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 7 (just47) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_cyclistsmt), true), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_cyclistsmt), true), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(ifeq(mtvisible(c_cyclistsmt), true, artsupplies(c_tptpartsupplies), true), true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 5 (just12) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(ifeq(true, true, supplies(c_tptpartsupplies), true), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 4 (ifeq_axiom) }
% 0.23/0.34    ifeq(mtvisible(c_tptp_spindleheadmt), true, ifeq(supplies(c_tptpartsupplies), true, tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232)), true), true)
% 0.23/0.34  = { by axiom 8 (just10) }
% 0.23/0.34    true
% 0.23/0.34  % SZS output end Proof
% 0.23/0.34  
% 0.23/0.34  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------