%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC205+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 03:08:51 PM UTC 2026
% Result : Theorem 2.44s 1.28s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f539ERROR: Could not build tree for root c_6503ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| neq(X0,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| neq(X0,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& ~ neq(X0,nil)
& neq(X1,nil)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& ~ neq(X0,nil)
& neq(X1,nil)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f273,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( nil != sK56
| nil = sK55 )
& ( nil != sK55
| nil = sK56 )
& ~ neq(sK53,nil)
& neq(sK54,nil)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil != sK55
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
~ neq(sK53,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
neq(sK54,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
neq(sK56,nil),
inference(definition_unfolding,[],[f503,f505]) ).
fof(f507,plain,
~ neq(sK55,nil),
inference(definition_unfolding,[],[f502,f504]) ).
fof(f509,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f504]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_139,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f389]) ).
tcf(c_246,negated_conjecture,
neq(sK56,nil),
inference(cnf_transformation,[],[f506]) ).
tcf(c_247,negated_conjecture,
~ neq(sK55,nil),
inference(cnf_transformation,[],[f507]) ).
tcf(c_248,negated_conjecture,
( ( nil = sK56 )
| ( nil != sK55 ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_253,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f509]) ).
tcf(c_380,plain,
( ( nil = sK56 )
| ( nil != sK55 ) ),
inference(prop_impl_just,[status(thm)],[c_248]) ).
tcf(c_408,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(prop_impl_just,[status(thm)],[c_139]) ).
tcf(c_3672,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sK55 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).
tcf(c_3673,plain,
( ( sK55 = nil )
| ~ ssList(sK55)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3672]) ).
tcf(c_3674,plain,
sK55 = nil,
inference(global_subsumption_just,[status(thm)],[c_3673,c_253,c_141,c_3673]) ).
tcf(c_3681,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != sK56 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_408,c_246]) ).
tcf(c_3682,plain,
( ~ ssList(nil)
| ( nil != sK56 ) ),
inference(unflattening,[status(thm)],[c_3681]) ).
tcf(c_3683,plain,
nil != sK56,
inference(global_subsumption_just,[status(thm)],[c_3682,c_141,c_3682]) ).
tcf(c_3698,plain,
nil != sK55,
inference(backward_subsumption_resolution,[status(thm)],[c_380,c_3683]) ).
tcf(c_6502,plain,
nil != nil,
inference(demodulation,[status(thm)],[c_3698,c_3674]) ).
tcf(c_6503,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_6502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC205+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 16:56:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.44/1.28 % SZS status Started for theBenchmark.p
% 2.44/1.28 % SZS status Theorem for theBenchmark.p
% 2.44/1.28
% 2.44/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.44/1.28
% 2.44/1.28 % ------ iProver source info
% 2.44/1.28
% 2.44/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.44/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.44/1.28 % git: non_committed_changes: false
% 2.44/1.28
% 2.44/1.28 % ------ Parsing...
% 2.44/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.44/1.28
% 2.44/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 2.44/1.28
% 2.44/1.28 % SZS status Theorem for theBenchmark.p
% 2.44/1.28
% 2.44/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.44/1.28
% 2.44/1.28
%------------------------------------------------------------------------------