%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC100-1 : 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 : n016.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 03:07:53 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.30s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f248ERROR: Could not build tree for root c_9895ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
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(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,negated_conjecture,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f220,plain,
( ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f214,f204,f205,f204,f205]) ).
fof(f221,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f234,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
tcf(c_256,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_332,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_363,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_436,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_437,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_438,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_439,negated_conjecture,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[],[f208]) ).
tcf(c_442,negated_conjecture,
( ( sk4 = nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_444,negated_conjecture,
( ( sk4 = nil )
| ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_445,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_392,c_333]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,sk3)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_348,c_444]) ).
tcf(c_3664,plain,
( ( nil = sk3 )
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ frontsegP(sk4,sk3) ),
inference(unflattening,[status(thm)],[c_3663]) ).
tcf(c_3665,plain,
( ( nil = sk3 )
| ( sk4 = nil )
| ~ frontsegP(sk4,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_3664,c_436,c_256,c_3664]) ).
tcf(c_3688,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( sk3 != nil )
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_363,c_445]) ).
tcf(c_3689,plain,
( ~ ssList(sk4)
| ( sk4 != nil )
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3688]) ).
tcf(c_3690,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_3689,c_437,c_442,c_3689]) ).
tcf(c_6668,definition,
iPr_def_12 = app(sk3,sk5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6670,plain,
sk3 != nil,
inference(demodulation,[status(thm)],[c_3690]) ).
tcf(c_6671,plain,
( ( nil = sk3 )
| ( sk4 = nil )
| ~ frontsegP(sk4,sk3) ),
inference(demodulation,[status(thm)],[c_3665]) ).
tcf(c_6674,negated_conjecture,
iPr_def_12 = sk4,
inference(demodulation,[status(thm)],[c_439,c_6668]) ).
tcf(c_6675,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6677,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9230,plain,
( ( nil = iPr_def_12 )
| ( sk3 = nil )
| ~ frontsegP(iPr_def_12,sk3) ),
inference(light_normalisation,[status(thm)],[c_6671,c_6674]) ).
tcf(c_9231,plain,
( ( nil = iPr_def_12 )
| ~ frontsegP(iPr_def_12,sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9230,c_6670]) ).
tcf(c_9249,plain,
( frontsegP(iPr_def_12,sk3)
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_6668,c_812]) ).
tcf(c_9251,plain,
frontsegP(iPr_def_12,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_9249,c_6675,c_6677]) ).
tcf(c_9252,plain,
nil = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9231,c_9251]) ).
tcf(c_9263,plain,
sk3 != iPr_def_12,
inference(demodulation,[status(thm)],[c_6670,c_9252]) ).
tcf(c_9881,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(light_normalisation,[status(thm)],[c_332,c_9252]) ).
tcf(c_9892,plain,
( ( sk3 = iPr_def_12 )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_9251,c_9881]) ).
tcf(c_9895,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9892,c_9263,c_6677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC100-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:28:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.04/1.30 % SZS status Started for theBenchmark.p
% 4.04/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.30
% 4.04/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.04/1.30
% 4.04/1.30 % ------ iProver source info
% 4.04/1.30
% 4.04/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.04/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.04/1.30 % git: non_committed_changes: false
% 4.04/1.30
% 4.04/1.30 % ------ Parsing...% successful
% 4.04/1.30
% 4.04/1.30
% 4.04/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.04/1.30
% 4.04/1.30 % ------ 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 %
% 4.04/1.30
% 4.04/1.30 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.04/1.30
% 4.04/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.04/1.30 % ------ Proving...
% 4.04/1.30 % ------ Problem Properties
% 4.04/1.30
% 4.04/1.30 %
% 4.04/1.30 % clauses 187
% 4.04/1.30 % conjectures 6
% 4.04/1.30 % EPR 60
% 4.04/1.30 % Horn 158
% 4.04/1.30 % unary 65
% 4.04/1.30 % binary 21
% 4.04/1.30 % lits 561
% 4.04/1.30 % lits eq 78
% 4.04/1.30 % fd_pure 0
% 4.04/1.30 % fd_pseudo 0
% 4.04/1.30 % fd_cond 15
% 4.04/1.30 % fd_pseudo_cond 14
% 4.04/1.30 % AC symbols 0
% 4.04/1.30
% 4.04/1.30 % ------ Schedule dynamic 5 is on
% 4.04/1.30
% 4.04/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.04/1.30
% 4.04/1.30
% 4.04/1.30 % ------
% 4.04/1.30 % Current options:
% 4.04/1.30 % ------
% 4.04/1.30
% 4.04/1.30
% 4.04/1.30 %
% 4.04/1.30
% 4.04/1.30 % ------ Proving...
% 4.04/1.30 %
% 4.04/1.30
% 4.04/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.30
% 4.04/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.30
% 4.04/1.30
%------------------------------------------------------------------------------