%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC121+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 : n020.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 03:07:58 PM UTC 2026
% Result : Theorem 1.53s 1.13s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f552ERROR: Could not build tree for root c_310ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ segmentP(X3,X2)
| ~ neq(X2,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)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ segmentP(X3,X2)
| ~ neq(X2,nil)
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& segmentP(X3,X2)
& neq(X2,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)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& segmentP(X3,X2)
& neq(X2,nil)
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ( ~ neq(sK56,nil)
& neq(sK54,nil) )
| ( ( ~ segmentP(sK54,sK53)
| ~ neq(sK53,nil) )
& segmentP(sK56,sK55)
& neq(sK55,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(f500,plain,
( ~ neq(sK56,nil)
| ~ segmentP(sK54,sK53)
| ~ neq(sK53,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ~ neq(sK56,nil)
| segmentP(sK56,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( ~ neq(sK56,nil)
| neq(sK55,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f515,plain,
( ~ neq(sK56,nil)
| ~ segmentP(sK56,sK55)
| ~ neq(sK55,nil) ),
inference(definition_unfolding,[],[f500,f508,f509,f508]) ).
tcf(c_246,negated_conjecture,
neq(sK56,nil),
inference(cnf_transformation,[],[f552]) ).
tcf(c_248,negated_conjecture,
( neq(sK55,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_250,negated_conjecture,
( segmentP(sK56,sK55)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_252,negated_conjecture,
( ~ segmentP(sK56,sK55)
| ~ neq(sK55,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_310,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_252,c_248,c_250,c_246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC121+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.33 % Computer : n020.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Thu Sep 24 16:31:04 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 Running first-order theorem proving
% 0.11/0.36 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
% 0.11/0.37
% 0.11/0.37 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.37
% 0.11/0.37 % Detected problem language: tptp
% 0.11/0.38 % Proving...
% 1.53/1.13 % SZS status Started for theBenchmark.p
% 1.53/1.13 % SZS status Theorem for theBenchmark.p
% 1.53/1.13
% 1.53/1.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.13
% 1.53/1.13 % ------ iProver source info
% 1.53/1.13
% 1.53/1.13 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.13 % git: non_committed_changes: false
% 1.53/1.13
% 1.53/1.13 % ------ Parsing...
% 1.53/1.13 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.13
% 1.53/1.13 % ------ Preprocessing...%
% 1.53/1.13
% 1.53/1.13 % SZS status Theorem for theBenchmark.p
% 1.53/1.13
% 1.53/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.13
% 1.53/1.13
%------------------------------------------------------------------------------