%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC384-1 : 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 : n012.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 03:09:34 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.06s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f241ERROR: Could not build tree for root c_5449ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f119,axiom,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
( nil = sk4
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( nil = sk4
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( nil = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
inference(reorient_equations,[],[f213]) ).
fof(f217,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f225,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f228,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f229,plain,
( ~ segmentP(sk4,sk3)
| ~ singletonP(sk3) ),
inference(definition_unfolding,[],[f225,f205,f204,f205]) ).
fof(f237,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f238,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_258,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_259,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_260,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f228]) ).
tcf(c_261,negated_conjecture,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_262,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_263,negated_conjecture,
( ssList(sk6)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_264,negated_conjecture,
( ssList(sk7)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_265,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_266,negated_conjecture,
( ( sk4 = nil )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_269,negated_conjecture,
( ssList(sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_270,negated_conjecture,
( ssList(sk7)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_275,negated_conjecture,
( ~ singletonP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_277,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_279,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_313,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_315,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,[],[f238]) ).
tcf(c_1290,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_260,c_279]) ).
tcf(c_1291,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_1290]) ).
tcf(c_1292,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_1291,c_259,c_1291]) ).
tcf(c_1302,plain,
cons(sk5,nil) = sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_265,c_1292]) ).
tcf(c_1304,plain,
app(app(sk6,sk3),sk7) = sk4,
inference(backward_subsumption_resolution,[status(thm)],[c_266,c_1292]) ).
tcf(c_1309,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_270,c_259,c_264,c_1291]) ).
tcf(c_1311,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_269,c_259,c_263,c_1291]) ).
tcf(c_1313,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_262,c_259,c_261,c_1291]) ).
tcf(c_3839,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_287,c_313]) ).
tcf(c_3843,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3839,c_277]) ).
tcf(c_3853,plain,
( singletonP(sk3)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_1302,c_3843]) ).
tcf(c_3854,plain,
singletonP(sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_3853,c_1313]) ).
tcf(c_3855,plain,
~ segmentP(sk4,sk3),
inference(backward_subsumption_resolution,[status(thm)],[c_275,c_3854]) ).
tcf(c_5417,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(app(app(sk6,sk3),sk7)) ),
inference(superposition,[status(thm)],[c_1304,c_315]) ).
tcf(c_5448,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_5417,c_1304]) ).
tcf(c_5449,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5448,c_3855,c_1309,c_1311,c_259,c_258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC384-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 17:57:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 3.52/1.06 % SZS status Started for theBenchmark.p
% 3.52/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.06
% 3.52/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.52/1.06
% 3.52/1.06 % ------ iProver source info
% 3.52/1.06
% 3.52/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 3.52/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.52/1.06 % git: non_committed_changes: false
% 3.52/1.06
% 3.52/1.06 % ------ Parsing...% successful
% 3.52/1.06
% 3.52/1.06
% 3.52/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.52/1.06
% 3.52/1.06 % ------ 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 %
% 3.52/1.06
% 3.52/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.52/1.06
% 3.52/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.52/1.06 % ------ Proving...
% 3.52/1.06 % ------ Problem Properties
% 3.52/1.06
% 3.52/1.06 %
% 3.52/1.06 % clauses 55
% 3.52/1.06 % conjectures 6
% 3.52/1.06 % EPR 27
% 3.52/1.06 % Horn 52
% 3.52/1.06 % unary 12
% 3.52/1.06 % binary 8
% 3.52/1.06 % lits 186
% 3.52/1.06 % lits eq 28
% 3.52/1.06 % fd_pure 0
% 3.52/1.06 % fd_pseudo 0
% 3.52/1.06 % fd_cond 3
% 3.52/1.06 % fd_pseudo_cond 8
% 3.52/1.06 % AC symbols 0
% 3.52/1.06
% 3.52/1.06 % ------ Schedule dynamic 5 is on
% 3.52/1.06
% 3.52/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.52/1.06
% 3.52/1.06
% 3.52/1.06 % ------
% 3.52/1.06 % Current options:
% 3.52/1.06 % ------
% 3.52/1.06
% 3.52/1.06
% 3.52/1.06 %
% 3.52/1.06
% 3.52/1.06 % ------ Proving...
% 3.52/1.06 %
% 3.52/1.06
% 3.52/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.06
% 3.52/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.52/1.06
% 3.52/1.06
%------------------------------------------------------------------------------