%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC081-1 : 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 : n020.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 03:07:48 PM UTC 2026
% Result : Unsatisfiable 5.99s 2.29s
% Output : CNFRefutation 5.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_24406ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( nil = sk4
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f215,negated_conjecture,
( nil = sk3
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f219,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f234,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_257,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_323,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_364,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_422,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,[],[f234]) ).
tcf(c_437,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_438,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_439,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f218]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_441,negated_conjecture,
( ssList(sk5)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_442,negated_conjecture,
( ssList(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_443,negated_conjecture,
( neq(sk5,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_444,negated_conjecture,
( frontsegP(sk4,sk5)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_445,negated_conjecture,
( frontsegP(sk3,sk5)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_447,negated_conjecture,
( frontsegP(sk4,sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_448,negated_conjecture,
( frontsegP(sk3,sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_3623,plain,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_440,c_443]) ).
tcf(c_3624,plain,
( ( sk4 = nil )
| ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(unflattening,[status(thm)],[c_3623]) ).
tcf(c_3625,plain,
( ( sk4 = nil )
| ~ segmentP(sk3,sk5)
| ~ segmentP(sk4,sk5) ),
inference(global_subsumption_just,[status(thm)],[c_3624,c_441,c_3624]) ).
tcf(c_3626,plain,
( ( sk4 = nil )
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(renaming,[status(thm)],[c_3625]) ).
tcf(c_3742,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_364,c_439]) ).
tcf(c_3743,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_3742]) ).
tcf(c_3744,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_3743,c_438,c_3743]) ).
tcf(c_3749,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3626,c_3744]) ).
tcf(c_3764,negated_conjecture,
frontsegP(sk3,sk5),
inference(global_subsumption_just,[status(thm)],[c_448,c_438,c_445,c_3743]) ).
tcf(c_3766,negated_conjecture,
frontsegP(sk4,sk5),
inference(global_subsumption_just,[status(thm)],[c_447,c_438,c_444,c_3743]) ).
tcf(c_3768,negated_conjecture,
ssList(sk5),
inference(global_subsumption_just,[status(thm)],[c_442,c_438,c_441,c_3743]) ).
tcf(c_9629,negated_conjecture,
frontsegP(sk3,sk5),
inference(demodulation,[status(thm)],[c_3764]) ).
tcf(c_9630,negated_conjecture,
frontsegP(sk4,sk5),
inference(demodulation,[status(thm)],[c_3766]) ).
tcf(c_9631,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_3768]) ).
tcf(c_9633,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(demodulation,[status(thm)],[c_3749]) ).
tcf(c_9637,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_9638,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_12473,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_9631,c_323]) ).
tcf(c_16038,plain,
( ( app(sk5,skaf45(sk4,sk5)) = sk4 )
| ~ ssList(sk5)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9630,c_381]) ).
tcf(c_16039,plain,
( ( app(sk5,skaf45(sk3,sk5)) = sk3 )
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_9629,c_381]) ).
tcf(c_16076,plain,
app(sk5,skaf45(sk3,sk5)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_16039,c_9631,c_9638]) ).
tcf(c_16077,plain,
app(sk5,skaf45(sk4,sk5)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_16038,c_9631,c_9637]) ).
tcf(c_22444,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk5),X0)) ),
inference(superposition,[status(thm)],[c_12473,c_422]) ).
tcf(c_22469,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(light_normalisation,[status(thm)],[c_22444,c_12473]) ).
tcf(c_22470,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22469,c_9631,c_257]) ).
tcf(c_24378,plain,
( segmentP(sk4,sk5)
| ~ ssList(skaf45(sk4,sk5))
| ~ ssList(app(sk5,skaf45(sk4,sk5))) ),
inference(superposition,[status(thm)],[c_16077,c_22470]) ).
tcf(c_24379,plain,
( segmentP(sk3,sk5)
| ~ ssList(skaf45(sk3,sk5))
| ~ ssList(app(sk5,skaf45(sk3,sk5))) ),
inference(superposition,[status(thm)],[c_16076,c_22470]) ).
tcf(c_24386,plain,
( segmentP(sk3,sk5)
| ~ ssList(sk3)
| ~ ssList(skaf45(sk3,sk5)) ),
inference(light_normalisation,[status(thm)],[c_24379,c_16076]) ).
tcf(c_24387,plain,
segmentP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_24386,c_9638,c_300]) ).
tcf(c_24388,plain,
( segmentP(sk4,sk5)
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk5)) ),
inference(light_normalisation,[status(thm)],[c_24378,c_16077]) ).
tcf(c_24389,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_24388,c_9637,c_300]) ).
tcf(c_24405,plain,
~ segmentP(sk4,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_9633,c_24387]) ).
tcf(c_24406,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24405,c_24389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC081-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Thu Sep 24 16:17:49 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 5.99/2.29 % SZS status Started for theBenchmark.p
% 5.99/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 5.99/2.29
% 5.99/2.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.99/2.29
% 5.99/2.29 % ------ iProver source info
% 5.99/2.29
% 5.99/2.29 % git: date: 2026-07-19 20:42:38 +0200
% 5.99/2.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.99/2.29 % git: non_committed_changes: false
% 5.99/2.29
% 5.99/2.29 % ------ Parsing...% successful
% 5.99/2.29
% 5.99/2.29
% 5.99/2.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.99/2.29
% 5.99/2.29 % ------ 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 %
% 5.99/2.29
% 5.99/2.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.99/2.29
% 5.99/2.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.99/2.29 % ------ Proving...
% 5.99/2.29 % ------ Problem Properties
% 5.99/2.29
% 5.99/2.29 %
% 5.99/2.29 % clauses 187
% 5.99/2.29 % conjectures 5
% 5.99/2.29 % EPR 62
% 5.99/2.29 % Horn 159
% 5.99/2.29 % unary 65
% 5.99/2.29 % binary 23
% 5.99/2.29 % lits 556
% 5.99/2.29 % lits eq 72
% 5.99/2.29 % fd_pure 0
% 5.99/2.29 % fd_pseudo 0
% 5.99/2.29 % fd_cond 16
% 5.99/2.29 % fd_pseudo_cond 14
% 5.99/2.29 % AC symbols 0
% 5.99/2.29
% 5.99/2.29 % ------ Schedule dynamic 5 is on
% 5.99/2.29
% 5.99/2.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.99/2.29
% 5.99/2.29
% 5.99/2.29 % ------
% 5.99/2.29 % Current options:
% 5.99/2.29 % ------
% 5.99/2.29
% 5.99/2.29
% 5.99/2.29 %
% 5.99/2.29
% 5.99/2.29 % ------ Proving...
% 5.99/2.29 %
% 5.99/2.29
% 5.99/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 5.99/2.29
% 5.99/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.99/2.29
% 5.99/2.29
%------------------------------------------------------------------------------