%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC182-1 : 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 : n007.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 03:08:18 PM UTC 2026
% Result : Unsatisfiable 1.64s 1.29s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f296ERROR: Could not build tree for root c_11241ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f210]) ).
fof(f245,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sk3 ),
inference(definition_unfolding,[],[f99,f204]) ).
fof(f252,plain,
! [X0,X1] :
( sk3 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk3 ),
inference(definition_unfolding,[],[f122,f204,f204]) ).
fof(f253,plain,
! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk3 ),
inference(definition_unfolding,[],[f124,f204,f204]) ).
fof(f267,plain,
sk3 = app(app(sk6,cons(sk5,sk3)),sk7),
inference(definition_unfolding,[],[f211,f206,f204]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk3 ) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_363,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk3 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_364,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X1 = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk3 ) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_390,negated_conjecture,
( ( app(sk3,sk3) = sk3 )
| ~ ssList(sk3) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_433,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_435,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f207]) ).
tcf(c_436,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f208]) ).
tcf(c_437,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f209]) ).
tcf(c_438,negated_conjecture,
app(app(sk6,cons(sk5,sk3)),sk7) = sk3,
inference(cnf_transformation,[],[f267]) ).
tcf(c_553,negated_conjecture,
app(sk3,sk3) = sk3,
inference(global_subsumption_just,[status(thm)],[c_390,c_433,c_390]) ).
tcf(c_6441,definition,
iPr_def_12 = app(sk3,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6442,definition,
iPr_def_13 = cons(sk5,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6443,definition,
iPr_def_14 = app(sk6,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6444,definition,
iPr_def_15 = app(iPr_def_14,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6445,negated_conjecture,
iPr_def_12 = sk3,
inference(demodulation,[status(thm)],[c_553,c_6441]) ).
tcf(c_6449,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_438,c_6442,c_6443,c_6444]) ).
tcf(c_6460,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X1 = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk3 ) ),
inference(demodulation,[status(thm)],[c_364]) ).
tcf(c_6461,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk3 ) ),
inference(demodulation,[status(thm)],[c_363]) ).
tcf(c_6466,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk3 ) ),
inference(demodulation,[status(thm)],[c_343]) ).
tcf(c_6494,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6495,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_6496,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6498,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_433]) ).
tcf(c_9021,plain,
ssList(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_6498,c_6445]) ).
tcf(c_9026,plain,
iPr_def_12 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_6449,c_6445]) ).
tcf(c_9041,plain,
cons(sk5,iPr_def_12) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_6442,c_6445]) ).
tcf(c_9235,plain,
app(iPr_def_14,sk7) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_6444,c_9026]) ).
tcf(c_9285,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6466,c_6445]) ).
tcf(c_9295,plain,
( ~ ssItem(sk5)
| ~ ssList(iPr_def_12)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9041,c_9285]) ).
tcf(c_9296,plain,
iPr_def_12 != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_9295,c_6496,c_9021]) ).
tcf(c_9625,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_12 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6460,c_6445]) ).
tcf(c_9638,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk6)
| ( iPr_def_12 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6443,c_9625]) ).
tcf(c_9645,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ( iPr_def_12 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9638,c_6495]) ).
tcf(c_9649,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6461,c_6445]) ).
tcf(c_9663,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9235,c_9649]) ).
tcf(c_9666,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9663,c_6494]) ).
tcf(c_11117,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_6443,c_330]) ).
tcf(c_11137,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11117,c_6495]) ).
tcf(c_11186,plain,
( ssList(iPr_def_13)
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9041,c_331]) ).
tcf(c_11202,plain,
ssList(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_11186,c_6496,c_9021]) ).
tcf(c_11241,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11202,c_11137,c_9666,c_9645,c_9296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC182-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 16:48:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.64/1.29 % SZS status Started for theBenchmark.p
% 1.64/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.29
% 1.64/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.64/1.29
% 1.64/1.29 % ------ iProver source info
% 1.64/1.29
% 1.64/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.64/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.64/1.29 % git: non_committed_changes: false
% 1.64/1.29
% 1.64/1.29 % ------ Parsing...% successful
% 1.64/1.29
% 1.64/1.29
% 1.64/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.64/1.29
% 1.64/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.64/1.29
% 1.64/1.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.64/1.29
% 1.64/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.64/1.29 % ------ Proving...
% 1.64/1.29 % ------ Problem Properties
% 1.64/1.29
% 1.64/1.29 %
% 1.64/1.29 % clauses 187
% 1.64/1.29 % conjectures 54
% 1.64/1.29 % EPR 59
% 1.64/1.29 % Horn 158
% 1.64/1.29 % unary 67
% 1.64/1.29 % binary 22
% 1.64/1.29 % lits 552
% 1.64/1.29 % lits eq 74
% 1.64/1.29 % fd_pure 0
% 1.64/1.29 % fd_pseudo 0
% 1.64/1.29 % fd_cond 15
% 1.64/1.29 % fd_pseudo_cond 14
% 1.64/1.29 % AC symbols 0
% 1.64/1.29
% 1.64/1.29 % ------ Schedule dynamic 5 is on
% 1.64/1.29
% 1.64/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.64/1.29
% 1.64/1.29
% 1.64/1.29 % ------
% 1.64/1.29 % Current options:
% 1.64/1.29 % ------
% 1.64/1.29
% 1.64/1.29
% 1.64/1.29 %
% 1.64/1.29
% 1.64/1.29 % ------ Proving...
% 1.64/1.29 %
% 1.64/1.29
% 1.64/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.29
% 1.64/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.30
% 1.64/1.30
%------------------------------------------------------------------------------