%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU124+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 14:34:07 EDT 2022

% Result   : Theorem 7.91s 8.15s
% Output   : Refutation 7.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU124+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 10:04:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.91/8.15  
% 7.91/8.15  SPASS V 3.9 
% 7.91/8.15  SPASS beiseite: Proof found.
% 7.91/8.15  % SZS status Theorem
% 7.91/8.15  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 7.91/8.15  SPASS derived 11572 clauses, backtracked 0 clauses, performed 0 splits and kept 4647 clauses.
% 7.91/8.15  SPASS allocated 107181 KBytes.
% 7.91/8.15  SPASS spent	0:00:07.64 on the problem.
% 7.91/8.15  		0:00:00.04 for the input.
% 7.91/8.15  		0:00:00.06 for the FLOTTER CNF translation.
% 7.91/8.15  		0:00:00.14 for inferences.
% 7.91/8.15  		0:00:00.00 for the backtracking.
% 7.91/8.15  		0:00:07.34 for the reduction.
% 7.91/8.15  
% 7.91/8.15  
% 7.91/8.15  Here is a proof with depth 3, length 11 :
% 7.91/8.15  % SZS output start Refutation
% 7.91/8.15  9[0:Inp] || subset(skc5,set_union2(skc5,skc4))*r -> .
% 7.91/8.15  11[0:Inp] ||  -> equal(set_union2(u,v),set_union2(v,u))*.
% 7.91/8.15  23[0:Inp] ||  -> subset(u,v) in(skf8(v,u),u)*.
% 7.91/8.15  26[0:Inp] || in(skf8(u,v),u)*+ -> subset(w,u)*.
% 7.91/8.15  37[0:Inp] || in(u,v)* equal(w,set_union2(x,v))*+ -> in(u,w)*.
% 7.91/8.15  49[0:Rew:11.0,9.0] || subset(skc5,set_union2(skc4,skc5))*r -> .
% 7.91/8.15  293[0:EqR:37.1] || in(u,v) -> in(u,set_union2(w,v))*.
% 7.91/8.15  352[0:Res:293.1,26.0] || in(skf8(set_union2(u,v),w),v)*+ -> subset(x,set_union2(u,v))*.
% 7.91/8.15  13730[0:Res:23.1,352.0] ||  -> subset(u,set_union2(v,u))*r subset(w,set_union2(v,u))*.
% 7.91/8.15  13739[0:Con:13730.1] ||  -> subset(u,set_union2(v,u))*r.
% 7.91/8.15  13740[0:UnC:13739.0,49.0] ||  -> .
% 7.91/8.15  % SZS output end Refutation
% 7.91/8.15  Formulae used in the proof : t7_xboole_1 commutativity_k2_xboole_0 d3_tarski d2_xboole_0
% 7.91/8.15  
%------------------------------------------------------------------------------