%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 : Fri Sep 25 02:08:38 PM UTC 2026
% Result : Unsatisfiable 8.37s 1.74s
% Output : CNFRefutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f9,axiom,
! [X2,X0,X1] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X0,' = =>'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f10,axiom,
! [X0,X1] : '+'(X0,' = =>'(X0,X1)) = '+'(X1,' = =>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_09) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X0,' = =>'(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : '+'(X0,' = =>'(X0,X1)) = '+'(X1,' = =>'(X1,X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_66,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(X1,X2)) = '+'(X1,'+'(X0,X2)),
inference(superposition,[status(thm)],[c_58,c_59]) ).
tcf(c_82,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'('+'(a,' = =>'(a,b)),c))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(theory_normalisation,[status(thm)],[c_66,c_58,c_59]) ).
tcf(c_90,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(demodulation,[status(thm)],[c_82,c_64]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X1,' = =>'(X0,X2)),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : '+'('+'(X0,X1),' = =>'(X0,' = =>'(X1,X2))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(X1,' = =>'('+'(X0,X1),X2))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(superposition,[status(thm)],[c_65,c_58]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(X1,' = =>'(X0,X2))) = '+'(X1,'+'(X2,' = =>'(X2,X0))),
inference(superposition,[status(thm)],[c_65,c_71]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(X1,' = =>'(X1,' = =>'(X0,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(demodulation,[status(thm)],[c_122,c_96]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(X1,' = =>'(X0,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_115,c_58,c_59]) ).
tcf(c_152,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))),
inference(demodulation,[status(thm)],[c_90,c_148]) ).
tcf(c_4226,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),' = =>'(X0,X2)))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(superposition,[status(thm)],[c_65,c_146]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(' = =>'(X0,X1),'+'(X0,' = =>'(' = =>'(X0,X1),X2))) = '+'(X1,' = =>'(X1,'+'(X0,X2))),
inference(superposition,[status(thm)],[c_146,c_131]) ).
tcf(c_4478,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2))) = '+'(X1,' = =>'(X1,'+'(X0,X2))),
inference(theory_normalisation,[status(thm)],[c_4257,c_58,c_59]) ).
tcf(c_4514,plain,
! [X0: $i,X1: $i,X2: $i] : '+'(X0,' = =>'(X0,'+'(X1,' = =>'(X1,X2)))) = '+'(X1,' = =>'(X1,'+'(X2,' = =>'(X2,X0)))),
inference(demodulation,[status(thm)],[c_4226,c_4478]) ).
tcf(c_4565,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(demodulation,[status(thm)],[c_152,c_4514]) ).
tcf(c_4566,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 00:39:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running UEQ theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 8.37/1.74 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.37/1.74 % SZS status Started for theBenchmark.p
% 8.37/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 8.37/1.74
% 8.37/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.37/1.74
% 8.37/1.74 % ------ iProver source info
% 8.37/1.74
% 8.37/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 8.37/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.37/1.74 % git: non_committed_changes: false
% 8.37/1.74
% 8.37/1.74 % ------ Parsing...% successful
% 8.37/1.74
% 8.37/1.74
% 8.37/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.37/1.74 % ------ Proving...
% 8.37/1.74 % ------ Problem Properties
% 8.37/1.74
% 8.37/1.74 %
% 8.37/1.74 % clauses 9
% 8.37/1.74 % conjectures 1
% 8.37/1.74 % EPR 0
% 8.37/1.74 % Horn 9
% 8.37/1.74 % unary 9
% 8.37/1.74 % binary 0
% 8.37/1.74 % lits 9
% 8.37/1.74 % lits eq 9
% 8.37/1.74 % fd_pure 0
% 8.37/1.74 % fd_pseudo 0
% 8.37/1.74 % fd_cond 0
% 8.37/1.74 % fd_pseudo_cond 0
% 8.37/1.74 % AC symbols 1
% 8.37/1.74
% 8.37/1.74 % ------ Input Options Time Limit: Unbounded
% 8.37/1.74
% 8.37/1.74
% 8.37/1.74 % ------
% 8.37/1.74 % Current options:
% 8.37/1.74 % ------
% 8.37/1.74
% 8.37/1.74
% 8.37/1.74 %
% 8.37/1.74
% 8.37/1.74 % ------ Proving...
% 8.37/1.74 %
% 8.37/1.74
% 8.37/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 8.37/1.74
% 8.37/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.37/1.74
% 8.37/1.74
%------------------------------------------------------------------------------