%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC109-1 : 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 : n009.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 03:07:56 PM UTC 2026
% Result : Unsatisfiable 3.94s 1.08s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f247ERROR: Could not build tree for root c_5667ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
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(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(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
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,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( nil = sk4
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( nil = sk4
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( nil = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
inference(reorient_equations,[],[f212]) ).
fof(f216,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
inference(reorient_equations,[],[f220]) ).
fof(f225,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f226,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_23) ).
fof(f231,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f225,f204,f205,f204,f205]) ).
fof(f232,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f226,f205,f204]) ).
fof(f241,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
tcf(c_260,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_261,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_262,negated_conjecture,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_263,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_264,negated_conjecture,
( ssList(sk6)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_265,negated_conjecture,
( ssList(sk7)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_266,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_267,negated_conjecture,
( ( sk4 = nil )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_270,negated_conjecture,
( ssList(sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_271,negated_conjecture,
( ssList(sk7)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_272,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_273,negated_conjecture,
( ( sk3 = nil )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_277,negated_conjecture,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_278,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_281,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_308,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_309,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_311,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_312,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_314,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,sk3)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_316,c_277]) ).
tcf(c_1314,plain,
( ( nil = sk3 )
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ segmentP(sk4,sk3) ),
inference(unflattening,[status(thm)],[c_1313]) ).
tcf(c_1315,plain,
( ( nil = sk3 )
| ( sk4 = nil )
| ~ segmentP(sk4,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_1314,c_260,c_281,c_1314]) ).
tcf(c_1364,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( sk3 != nil )
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_278,c_314]) ).
tcf(c_1365,plain,
( ~ ssList(sk4)
| ( sk4 != nil )
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_1364]) ).
tcf(c_1400,negated_conjecture,
app(app(sk6,sk3),sk7) = sk4,
inference(global_subsumption_just,[status(thm)],[c_273,c_261,c_273,c_267,c_1365]) ).
tcf(c_1402,negated_conjecture,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_272,c_261,c_272,c_266,c_1365]) ).
tcf(c_1404,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_271,c_261,c_271,c_265,c_1365]) ).
tcf(c_1406,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_270,c_261,c_270,c_264,c_1365]) ).
tcf(c_1412,negated_conjecture,
app(app(sk6,sk3),sk7) = sk4,
inference(global_subsumption_just,[status(thm)],[c_267,c_1400]) ).
tcf(c_1414,negated_conjecture,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_266,c_1402]) ).
tcf(c_1416,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_265,c_1404]) ).
tcf(c_1418,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_264,c_1406]) ).
tcf(c_1420,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_263,c_261,c_263,c_262,c_1365]) ).
tcf(c_1422,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_262,c_1420]) ).
tcf(c_3953,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_1414,c_311]) ).
tcf(c_3954,plain,
memberP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_3953,c_1422,c_281]) ).
tcf(c_3980,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( sk3 != nil ) ),
inference(superposition,[status(thm)],[c_1414,c_280]) ).
tcf(c_3981,plain,
sk3 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_3980,c_1422,c_281]) ).
tcf(c_4175,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk6,sk3))
| ~ memberP(app(sk6,sk3),X0) ),
inference(superposition,[status(thm)],[c_1412,c_309]) ).
tcf(c_4185,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk6,sk3))
| ~ memberP(app(sk6,sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4175,c_1416]) ).
tcf(c_4286,plain,
( ~ ssItem(sk5)
| ~ memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_4444,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk6,sk3)) ),
inference(superposition,[status(thm)],[c_308,c_4185]) ).
tcf(c_4445,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk6,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4444,c_1418,c_260]) ).
tcf(c_4720,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_294,c_4445]) ).
tcf(c_4721,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4720,c_1418,c_260]) ).
tcf(c_4735,plain,
( memberP(sk4,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_3954,c_4721]) ).
tcf(c_4736,plain,
memberP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_4735,c_1422]) ).
tcf(c_5476,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(app(app(sk6,sk3),sk7)) ),
inference(superposition,[status(thm)],[c_1412,c_317]) ).
tcf(c_5507,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_5476,c_1412]) ).
tcf(c_5508,plain,
segmentP(sk4,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_5507,c_1416,c_1418,c_261,c_260]) ).
tcf(c_5610,plain,
( ( sk4 = nil )
| ( sk3 = nil ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1315,c_5508]) ).
tcf(c_5613,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_5610,c_3981]) ).
tcf(c_5624,plain,
memberP(nil,sk5),
inference(demodulation,[status(thm)],[c_4736,c_5613]) ).
tcf(c_5667,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5624,c_4286,c_1420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC109-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 16:26:44 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 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...
% 3.94/1.08 % SZS status Started for theBenchmark.p
% 3.94/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.08
% 3.94/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.94/1.08
% 3.94/1.08 % ------ iProver source info
% 3.94/1.08
% 3.94/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.94/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.94/1.08 % git: non_committed_changes: false
% 3.94/1.08
% 3.94/1.08 % ------ Parsing...% successful
% 3.94/1.08
% 3.94/1.08
% 3.94/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.94/1.08
% 3.94/1.08 % ------ 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 sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.94/1.08
% 3.94/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.94/1.08
% 3.94/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.94/1.08 % ------ Proving...
% 3.94/1.08 % ------ Problem Properties
% 3.94/1.08
% 3.94/1.08 %
% 3.94/1.08 % clauses 56
% 3.94/1.08 % conjectures 9
% 3.94/1.08 % EPR 29
% 3.94/1.08 % Horn 52
% 3.94/1.08 % unary 10
% 3.94/1.08 % binary 8
% 3.94/1.08 % lits 193
% 3.94/1.08 % lits eq 37
% 3.94/1.08 % fd_pure 0
% 3.94/1.08 % fd_pseudo 0
% 3.94/1.08 % fd_cond 3
% 3.94/1.08 % fd_pseudo_cond 8
% 3.94/1.08 % AC symbols 0
% 3.94/1.08
% 3.94/1.08 % ------ Schedule dynamic 5 is on
% 3.94/1.08
% 3.94/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.94/1.08
% 3.94/1.08
% 3.94/1.08 % ------
% 3.94/1.08 % Current options:
% 3.94/1.08 % ------
% 3.94/1.08
% 3.94/1.08
% 3.94/1.08 %
% 3.94/1.08
% 3.94/1.08 % ------ Proving...
% 3.94/1.08 %
% 3.94/1.08
% 3.94/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.08
% 3.94/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.08
% 3.94/1.08
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