%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC388-1 : 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 : n004.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 03:09:35 PM UTC 2026
% Result : Unsatisfiable 154.26s 23.98s
% Output : CNFRefutation 154.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f241ERROR: Could not build tree for root c_192112ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).
fof(f79,axiom,
! [X0] :
( segmentP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).
fof(f80,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause83) ).
fof(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f164,axiom,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause152) ).
fof(f181,axiom,
! [X0,X1] :
( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause168) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
! [X0] :
( ~ memberP(sk4,X0)
| cons(X0,nil) != sk3
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f207,f205,f204]) ).
fof(f213,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f209,f204,f205]) ).
fof(f214,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f216,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f83]) ).
tcf(c_251,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_254,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f11]) ).
tcf(c_290,plain,
! [X0: $i] : ssItem(skaf44(X0)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] : ssList(skaf48(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] : ssList(skaf47(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_322,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_323,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_326,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_327,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_344,plain,
! [X0: $i] :
( ( cons(skaf44(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_431,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_432,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_433,negated_conjecture,
segmentP(sk4,sk3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_434,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ( cons(X0,nil) != sk3 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_435,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_436,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_497,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i] :
( singletonP(sk3)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_435,c_343]) ).
tcf(c_2762,plain,
( singletonP(sk3)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_2761]) ).
tcf(c_2763,plain,
( singletonP(sk3)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_2762,c_432,c_251,c_2762]) ).
tcf(c_2781,plain,
( ( sk4 = nil )
| ( sk3 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_2763,c_254]) ).
tcf(c_2782,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_2781,c_436,c_2781]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(X0,X2)
| ~ segmentP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9076,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ segmentP(nil,sk3) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_9242,plain,
! [X0: $i] :
( segmentP(nil,sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ segmentP(X0,sk3) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_13103,plain,
( segmentP(nil,sk3)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ segmentP(nil,sk4)
| ~ segmentP(sk4,sk3) ),
inference(instantiation,[status(thm)],[c_9242]) ).
tcf(c_18640,plain,
! [X0: $i,X1: $i] :
( singletonP(sk3)
| segmentP(X0,sk4)
| ~ segmentP(X1,nil)
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_6578,c_2763]) ).
tcf(c_18641,plain,
( singletonP(sk3)
| segmentP(nil,sk4)
| ~ segmentP(nil,nil)
| ( nil != nil ) ),
inference(instantiation,[status(thm)],[c_18640]) ).
tcf(c_186302,plain,
singletonP(sk3),
inference(global_subsumption_just,[status(thm)],[c_2763,c_432,c_431,c_251,c_433,c_326,c_322,c_497,c_2782,c_9076,c_13103,c_18641]) ).
tcf(c_186842,plain,
( ( cons(skaf44(sk3),nil) = sk3 )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_186302,c_344]) ).
tcf(c_186844,plain,
cons(skaf44(sk3),nil) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_186842,c_431]) ).
tcf(c_186993,plain,
( ~ ssItem(skaf44(sk3))
| ~ memberP(sk4,skaf44(sk3)) ),
inference(superposition,[status(thm)],[c_186844,c_434]) ).
tcf(c_186994,plain,
( memberP(sk3,skaf44(sk3))
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3)) ),
inference(superposition,[status(thm)],[c_186844,c_381]) ).
tcf(c_187004,plain,
~ memberP(sk4,skaf44(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_186993,c_290]) ).
tcf(c_187005,plain,
memberP(sk3,skaf44(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_186994,c_251,c_290]) ).
tcf(c_189964,plain,
( ( app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_433,c_411]) ).
tcf(c_189970,plain,
app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_189964,c_432,c_431]) ).
tcf(c_190110,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk3,sk4))
| ~ ssList(app(skaf47(sk4,sk3),sk3))
| ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
inference(superposition,[status(thm)],[c_189970,c_383]) ).
tcf(c_190117,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(sk4,sk3),sk3))
| ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190110,c_291]) ).
tcf(c_190393,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(skaf47(sk4,sk3))
| ~ ssList(app(skaf47(sk4,sk3),sk3)) ),
inference(superposition,[status(thm)],[c_384,c_190117]) ).
tcf(c_190394,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(skaf47(sk4,sk3),sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190393,c_431,c_292]) ).
tcf(c_192103,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(skaf47(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_328,c_190394]) ).
tcf(c_192104,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192103,c_431,c_292]) ).
tcf(c_192109,plain,
( memberP(sk4,skaf44(sk3))
| ~ ssItem(skaf44(sk3)) ),
inference(superposition,[status(thm)],[c_187005,c_192104]) ).
tcf(c_192112,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_192109,c_187004,c_290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC388-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n004.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 17:59:20 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 154.26/23.98 % SZS status Started for theBenchmark.p
% 154.26/23.98 % SZS status Unsatisfiable for theBenchmark.p
% 154.26/23.98
% 154.26/23.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 154.26/23.98
% 154.26/23.98 % ------ iProver source info
% 154.26/23.98
% 154.26/23.98 % git: date: 2026-07-19 20:42:38 +0200
% 154.26/23.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 154.26/23.98 % git: non_committed_changes: false
% 154.26/23.98
% 154.26/23.98 % ------ Parsing...% successful
% 154.26/23.98
% 154.26/23.98
% 154.26/23.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 154.26/23.98
% 154.26/23.98 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 154.26/23.98
% 154.26/23.98 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 154.26/23.98
% 154.26/23.98 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 154.26/23.98 % ------ Proving...
% 154.26/23.98 % ------ Problem Properties
% 154.26/23.98
% 154.26/23.98 %
% 154.26/23.98 % clauses 183
% 154.26/23.98 % conjectures 4
% 154.26/23.98 % EPR 57
% 154.26/23.98 % Horn 154
% 154.26/23.98 % unary 62
% 154.26/23.98 % binary 22
% 154.26/23.98 % lits 550
% 154.26/23.98 % lits eq 72
% 154.26/23.98 % fd_pure 0
% 154.26/23.98 % fd_pseudo 0
% 154.26/23.98 % fd_cond 15
% 154.26/23.98 % fd_pseudo_cond 14
% 154.26/23.98 % AC symbols 0
% 154.26/23.98
% 154.26/23.98 % ------ Input Options Time Limit: Unbounded
% 154.26/23.98
% 154.26/23.98
% 154.26/23.98 % ------
% 154.26/23.98 % Current options:
% 154.26/23.98 % ------
% 154.26/23.98
% 154.26/23.98
% 154.26/23.98 %
% 154.26/23.98
% 154.26/23.98 % ------ Proving...
% 154.26/23.98 %
% 154.26/23.98
% 154.26/23.98 % SZS status Unsatisfiable for theBenchmark.p
% 154.26/23.98
% 154.26/23.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 154.26/23.99
% 154.26/23.99
%------------------------------------------------------------------------------