%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC080-1 : 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 : n014.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 4.49s 2.28s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f258ERROR: Could not build tree for root c_20962ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/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(f213,negated_conjecture,
! [X0] :
( ~ neq(sk4,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f215,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f216,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f217,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f227,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f242,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_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_325,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_424,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,[],[f242]) ).
tcf(c_439,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_440,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_441,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f258]) ).
tcf(c_447,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(sk4,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_448,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_449,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_450,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_451,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_561,negated_conjecture,
ssList(sk5),
inference(global_subsumption_just,[status(thm)],[c_448,c_441,c_448]) ).
tcf(c_575,negated_conjecture,
frontsegP(sk3,sk5),
inference(global_subsumption_just,[status(thm)],[c_451,c_441,c_451]) ).
tcf(c_577,negated_conjecture,
frontsegP(sk4,sk5),
inference(global_subsumption_just,[status(thm)],[c_450,c_441,c_450]) ).
tcf(c_579,negated_conjecture,
neq(sk5,nil),
inference(global_subsumption_just,[status(thm)],[c_449,c_441,c_449]) ).
tcf(c_589,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_441,c_447]) ).
tcf(c_590,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(renaming,[status(thm)],[c_589]) ).
tcf(c_3016,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_590,c_579]) ).
tcf(c_3017,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(unflattening,[status(thm)],[c_3016]) ).
tcf(c_3018,plain,
( ~ segmentP(sk3,sk5)
| ~ segmentP(sk4,sk5) ),
inference(global_subsumption_just,[status(thm)],[c_3017,c_441,c_448,c_3017]) ).
tcf(c_3019,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(renaming,[status(thm)],[c_3018]) ).
tcf(c_6616,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(demodulation,[status(thm)],[c_3019]) ).
tcf(c_6619,negated_conjecture,
frontsegP(sk4,sk5),
inference(demodulation,[status(thm)],[c_577]) ).
tcf(c_6620,negated_conjecture,
frontsegP(sk3,sk5),
inference(demodulation,[status(thm)],[c_575]) ).
tcf(c_6621,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_561]) ).
tcf(c_6622,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6623,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_9458,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_6621,c_325]) ).
tcf(c_13031,plain,
( ( app(sk5,skaf45(sk4,sk5)) = sk4 )
| ~ ssList(sk5)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_6619,c_383]) ).
tcf(c_13032,plain,
( ( app(sk5,skaf45(sk3,sk5)) = sk3 )
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_6620,c_383]) ).
tcf(c_13069,plain,
app(sk5,skaf45(sk3,sk5)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_13032,c_6621,c_6623]) ).
tcf(c_13070,plain,
app(sk5,skaf45(sk4,sk5)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13031,c_6621,c_6622]) ).
tcf(c_19867,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_9458,c_424]) ).
tcf(c_19892,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(light_normalisation,[status(thm)],[c_19867,c_9458]) ).
tcf(c_19893,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19892,c_6621,c_259]) ).
tcf(c_20934,plain,
( segmentP(sk4,sk5)
| ~ ssList(skaf45(sk4,sk5))
| ~ ssList(app(sk5,skaf45(sk4,sk5))) ),
inference(superposition,[status(thm)],[c_13070,c_19893]) ).
tcf(c_20935,plain,
( segmentP(sk3,sk5)
| ~ ssList(skaf45(sk3,sk5))
| ~ ssList(app(sk5,skaf45(sk3,sk5))) ),
inference(superposition,[status(thm)],[c_13069,c_19893]) ).
tcf(c_20942,plain,
( segmentP(sk3,sk5)
| ~ ssList(sk3)
| ~ ssList(skaf45(sk3,sk5)) ),
inference(light_normalisation,[status(thm)],[c_20935,c_13069]) ).
tcf(c_20943,plain,
segmentP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_20942,c_6623,c_302]) ).
tcf(c_20944,plain,
( segmentP(sk4,sk5)
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk5)) ),
inference(light_normalisation,[status(thm)],[c_20934,c_13070]) ).
tcf(c_20945,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_20944,c_6622,c_302]) ).
tcf(c_20961,plain,
~ segmentP(sk4,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_6616,c_20943]) ).
tcf(c_20962,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20961,c_20945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 16:17:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.49/2.28 % SZS status Started for theBenchmark.p
% 4.49/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.49/2.28
% 4.49/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.49/2.28
% 4.49/2.28 % ------ iProver source info
% 4.49/2.28
% 4.49/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.49/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.49/2.28 % git: non_committed_changes: false
% 4.49/2.28
% 4.49/2.28 % ------ Parsing...% successful
% 4.49/2.28
% 4.49/2.28
% 4.49/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.49/2.28
% 4.49/2.28 % ------ 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 %
% 4.49/2.28
% 4.49/2.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.49/2.28
% 4.49/2.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.49/2.28 % ------ Proving...
% 4.49/2.28 % ------ Problem Properties
% 4.49/2.28
% 4.49/2.28 %
% 4.49/2.28 % clauses 187
% 4.49/2.28 % conjectures 5
% 4.49/2.28 % EPR 62
% 4.49/2.28 % Horn 159
% 4.49/2.28 % unary 65
% 4.49/2.28 % binary 23
% 4.49/2.28 % lits 556
% 4.49/2.28 % lits eq 72
% 4.49/2.28 % fd_pure 0
% 4.49/2.28 % fd_pseudo 0
% 4.49/2.28 % fd_cond 16
% 4.49/2.28 % fd_pseudo_cond 14
% 4.49/2.28 % AC symbols 0
% 4.49/2.28
% 4.49/2.28 % ------ Schedule dynamic 5 is on
% 4.49/2.28
% 4.49/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.49/2.28
% 4.49/2.28
% 4.49/2.28 % ------
% 4.49/2.28 % Current options:
% 4.49/2.28 % ------
% 4.49/2.28
% 4.49/2.28
% 4.49/2.28 %
% 4.49/2.28
% 4.49/2.28 % ------ Proving...
% 4.49/2.28 %
% 4.49/2.28
% 4.49/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.49/2.28
% 4.49/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.49/2.28
% 4.49/2.28
%------------------------------------------------------------------------------