%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC045-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:07:39 PM UTC 2026
% Result : Unsatisfiable 196.71s 28.51s
% Output : CNFRefutation 196.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f296ERROR: Could not build tree for root c_116530ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f80,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ memberP(sk3,X0)
| ssList(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ memberP(sk3,X0)
| segmentP(sk4,app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f236,plain,
! [X0] :
( sk4 = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f77,f211]) ).
fof(f237,plain,
! [X0] :
( sk4 = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f78,f211]) ).
fof(f239,plain,
! [X0] :
( sk4 = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(definition_unfolding,[],[f80,f211,f211]) ).
fof(f246,plain,
! [X0] :
( sk4 = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f107,f211]) ).
fof(f252,plain,
! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f124,f211,f211]) ).
fof(f266,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f211,f206]) ).
fof(f268,plain,
! [X0] :
( ~ memberP(sk3,X0)
| segmentP(sk4,app(app(cons(X0,sk4),sk5(X0)),cons(X0,sk4)))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f210,f211,f211]) ).
tcf(c_321,negated_conjecture,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = sk4 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_322,negated_conjecture,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = sk4 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_324,negated_conjecture,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( ( X0 = sk4 )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_363,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X1 = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk4 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_432,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_433,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_434,negated_conjecture,
sk3 != sk4,
inference(cnf_transformation,[],[f266]) ).
tcf(c_436,negated_conjecture,
! [X0: $i] :
( ssList(sk5(X0))
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( segmentP(sk4,app(app(cons(X0,sk4),sk5(X0)),cons(X0,sk4)))
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_7075,plain,
( ssList(tl(sk3))
| ( sk3 = sk4 )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_7078,plain,
( ssItem(hd(sk3))
| ( sk3 = sk4 )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_7126,plain,
( ( sk3 = sk4 )
| ( cons(hd(sk3),tl(sk3)) = sk3 )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_7343,plain,
( segmentP(sk4,app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4)))
| ~ ssItem(hd(sk3))
| ~ memberP(sk3,hd(sk3)) ),
inference(instantiation,[status(thm)],[c_437]) ).
tcf(c_7347,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ( cons(hd(sk3),X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_7349,plain,
( ~ ssList(sk4)
| ~ ssItem(hd(sk3))
| ( cons(hd(sk3),sk4) != sk4 ) ),
inference(instantiation,[status(thm)],[c_7347]) ).
tcf(c_8895,plain,
( ( sk3 = sk4 )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_432,c_348]) ).
tcf(c_16790,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_8895,c_432,c_434,c_7126]) ).
tcf(c_17118,plain,
( memberP(sk3,hd(sk3))
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(superposition,[status(thm)],[c_16790,c_382]) ).
tcf(c_38784,plain,
( ssList(cons(hd(sk3),sk4))
| ~ ssList(sk4)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_45944,plain,
( ssList(sk5(hd(sk3)))
| ~ ssItem(hd(sk3))
| ~ memberP(sk3,hd(sk3)) ),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_49199,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,sk4) = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(X1,sk4))
| ( app(X0,cons(X1,sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_51179,plain,
! [X0: $i,X1: $i] :
( ( app(X0,cons(X1,sk4)) = sk4 )
| ~ ssList(app(X0,cons(X1,sk4)))
| ~ segmentP(sk4,app(X0,cons(X1,sk4))) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_53530,plain,
( ssList(app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4)))
| ~ ssList(cons(hd(sk3),sk4))
| ~ ssList(app(cons(hd(sk3),sk4),sk5(hd(sk3)))) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_58850,plain,
! [X0: $i] :
( ( cons(hd(sk3),sk4) = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(hd(sk3),sk4))
| ( app(X0,cons(hd(sk3),sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_49199]) ).
tcf(c_61669,plain,
! [X0: $i,X1: $i] :
( ssList(app(cons(X0,sk4),X1))
| ~ ssList(X1)
| ~ ssList(cons(X0,sk4)) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_62678,plain,
( ( app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4)) = sk4 )
| ~ ssList(app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4)))
| ~ segmentP(sk4,app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4))) ),
inference(instantiation,[status(thm)],[c_51179]) ).
tcf(c_110557,plain,
( ssList(app(cons(hd(sk3),sk4),sk5(hd(sk3))))
| ~ ssList(sk5(hd(sk3)))
| ~ ssList(cons(hd(sk3),sk4)) ),
inference(instantiation,[status(thm)],[c_61669]) ).
tcf(c_116529,plain,
( ( cons(hd(sk3),sk4) = sk4 )
| ~ ssList(cons(hd(sk3),sk4))
| ~ ssList(app(cons(hd(sk3),sk4),sk5(hd(sk3))))
| ( app(app(cons(hd(sk3),sk4),sk5(hd(sk3))),cons(hd(sk3),sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_58850]) ).
tcf(c_116530,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_116529,c_110557,c_62678,c_53530,c_45944,c_38784,c_17118,c_7349,c_7343,c_7078,c_7075,c_434,c_432,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 16:07:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 196.71/28.51 % SZS status Started for theBenchmark.p
% 196.71/28.51 % SZS status Unsatisfiable for theBenchmark.p
% 196.71/28.51
% 196.71/28.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 196.71/28.51
% 196.71/28.51 % ------ iProver source info
% 196.71/28.51
% 196.71/28.51 % git: date: 2026-07-19 20:42:38 +0200
% 196.71/28.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 196.71/28.51 % git: non_committed_changes: false
% 196.71/28.51
% 196.71/28.51 % ------ Parsing...% successful
% 196.71/28.51
% 196.71/28.51
% 196.71/28.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 196.71/28.51
% 196.71/28.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 196.71/28.51
% 196.71/28.51 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 196.71/28.51
% 196.71/28.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 196.71/28.51 % ------ Proving...
% 196.71/28.51 % ------ Problem Properties
% 196.71/28.51
% 196.71/28.51 %
% 196.71/28.51 % clauses 182
% 196.71/28.51 % conjectures 53
% 196.71/28.51 % EPR 54
% 196.71/28.51 % Horn 154
% 196.71/28.51 % unary 60
% 196.71/28.51 % binary 21
% 196.71/28.51 % lits 553
% 196.71/28.51 % lits eq 70
% 196.71/28.51 % fd_pure 0
% 196.71/28.51 % fd_pseudo 0
% 196.71/28.51 % fd_cond 15
% 196.71/28.51 % fd_pseudo_cond 14
% 196.71/28.51 % AC symbols 0
% 196.71/28.51
% 196.71/28.51 % ------ Input Options Time Limit: Unbounded
% 196.71/28.51
% 196.71/28.51
% 196.71/28.51 % ------
% 196.71/28.51 % Current options:
% 196.71/28.51 % ------
% 196.71/28.51
% 196.71/28.51
% 196.71/28.51 %
% 196.71/28.51
% 196.71/28.51 % ------ Proving...
% 196.71/28.51 %
% 196.71/28.51
% 196.71/28.51 % SZS status Unsatisfiable for theBenchmark.p
% 196.71/28.51
% 196.71/28.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 196.71/28.52
% 196.71/28.52
%------------------------------------------------------------------------------