%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC068-1 : 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 03:07:45 PM UTC 2026
% Result : Unsatisfiable 4.15s 1.48s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f219ERROR: Could not build tree for root c_2255ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/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(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(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,
app(sk4,sk4) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,plain,
sk3 = app(sk4,sk4),
inference(reorient_equations,[],[f204]) ).
fof(f206,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f206,f207]) ).
fof(f213,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f209,f206,f207]) ).
fof(f216,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_245,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_246,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_247,negated_conjecture,
app(sk4,sk4) = sk3,
inference(cnf_transformation,[],[f205]) ).
tcf(c_248,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_249,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_253,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_258,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_260,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,[],[f216]) ).
tcf(c_266,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_272,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_283,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_253,c_259,c_272]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( X2 != nil )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_269]) ).
tcf(c_583,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_582]) ).
tcf(c_585,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_583,c_259,c_583]) ).
tcf(c_586,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_585]) ).
tcf(c_1258,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_245,c_258]) ).
tcf(c_1380,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ( sk3 != nil ) ),
inference(superposition,[status(thm)],[c_247,c_254]) ).
tcf(c_1389,plain,
( ( sk4 = nil )
| ( sk3 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1380,c_246]) ).
tcf(c_1443,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_1389,c_249,c_1389]) ).
tcf(c_1875,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(superposition,[status(thm)],[c_247,c_260]) ).
tcf(c_1896,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_1875,c_247]) ).
tcf(c_1897,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1896,c_246]) ).
tcf(c_2172,plain,
( segmentP(sk3,sk4)
| ~ ssList(nil)
| ~ ssList(app(sk3,nil)) ),
inference(superposition,[status(thm)],[c_1258,c_1897]) ).
tcf(c_2175,plain,
( segmentP(sk3,sk4)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_2172,c_1258]) ).
tcf(c_2176,plain,
segmentP(sk3,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_2175,c_259,c_245]) ).
tcf(c_2222,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ segmentP(sk4,sk4) ),
inference(superposition,[status(thm)],[c_2176,c_586]) ).
tcf(c_2223,plain,
( ( sk4 = nil )
| ~ segmentP(sk4,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2222,c_246]) ).
tcf(c_2235,plain,
( ( sk4 = nil )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_266,c_2223]) ).
tcf(c_2236,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_2235,c_246]) ).
tcf(c_2252,plain,
app(nil,nil) = sk3,
inference(demodulation,[status(thm)],[c_247,c_2236]) ).
tcf(c_2254,plain,
sk3 = nil,
inference(light_normalisation,[status(thm)],[c_2252,c_283]) ).
tcf(c_2255,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2254,c_1443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC068-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.56 % Computer : n026.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Thu Sep 24 16:15:56 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.60 Running first-order theorem proving
% 0.15/0.60 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
% 0.15/0.62
% 0.15/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.62
% 0.15/0.62 % Detected problem language: tptp
% 0.15/0.63 % Proving...
% 4.15/1.48 % SZS status Started for theBenchmark.p
% 4.15/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.48
% 4.15/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.15/1.48
% 4.15/1.48 % ------ iProver source info
% 4.15/1.48
% 4.15/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 4.15/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.15/1.48 % git: non_committed_changes: false
% 4.15/1.48
% 4.15/1.48 % ------ Parsing...% successful
% 4.15/1.48
% 4.15/1.48
% 4.15/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.15/1.48
% 4.15/1.48 % ------ 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 %
% 4.15/1.48
% 4.15/1.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.15/1.48
% 4.15/1.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.15/1.48 % ------ Proving...
% 4.15/1.48 % ------ Problem Properties
% 4.15/1.48
% 4.15/1.48 %
% 4.15/1.48 % clauses 23
% 4.15/1.48 % conjectures 4
% 4.15/1.48 % EPR 11
% 4.15/1.48 % Horn 23
% 4.15/1.48 % unary 6
% 4.15/1.48 % binary 5
% 4.15/1.48 % lits 70
% 4.15/1.49 % lits eq 18
% 4.15/1.49 % fd_pure 0
% 4.15/1.49 % fd_pseudo 0
% 4.15/1.49 % fd_cond 4
% 4.15/1.49 % fd_pseudo_cond 3
% 4.15/1.49 % AC symbols 0
% 4.15/1.49
% 4.15/1.49 % ------ Schedule dynamic 5 is on
% 4.15/1.49
% 4.15/1.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.15/1.49
% 4.15/1.49
% 4.15/1.49 % ------
% 4.15/1.49 % Current options:
% 4.15/1.49 % ------
% 4.15/1.49
% 4.15/1.49
% 4.15/1.49 %
% 4.15/1.49
% 4.15/1.49 % ------ Proving...
% 4.15/1.49 %
% 4.15/1.49
% 4.15/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.49
% 4.15/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.49
% 4.15/1.49
%------------------------------------------------------------------------------