%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC004-1 : 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 : n010.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 03:07:28 PM UTC 2026
% Result : Unsatisfiable 3.25s 6.64s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f265ERROR: Could not build tree for root c_10748ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/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(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(f216,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(X1,nil)
| app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,negated_conjecture,
( ~ neq(sk4,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f221,plain,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,sk7) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f223,plain,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
inference(reorient_equations,[],[f222]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(X1,nil)
| app(X0,X2) != sk3
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f216,f204,f205]) ).
tcf(c_261,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_443,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f265]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ~ neq(X1,nil)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_451,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_452,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_453,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_454,negated_conjecture,
( ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_455,negated_conjecture,
( ( app(sk6,sk7) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_569,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_453,c_443,c_453]) ).
tcf(c_571,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_452,c_443,c_452]) ).
tcf(c_573,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_451,c_443,c_451]) ).
tcf(c_585,negated_conjecture,
app(sk6,sk7) = sk3,
inference(global_subsumption_just,[status(thm)],[c_455,c_443,c_455]) ).
tcf(c_593,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk4,
inference(global_subsumption_just,[status(thm)],[c_454,c_443,c_454]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,X1),X2) != sk4 )
| ( app(X0,X2) != sk3 )
| ~ neq(X1,nil) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_443,c_450]) ).
tcf(c_598,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(X1,nil)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( X4 != nil )
| ( X1 != X3 )
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_598,c_353]) ).
tcf(c_3070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(unflattening,[status(thm)],[c_3069]) ).
tcf(c_3072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = nil )
| ( app(app(X0,X1),X2) != sk4 )
| ( app(X0,X2) != sk3 )
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(global_subsumption_just,[status(thm)],[c_3070,c_261,c_3070]) ).
tcf(c_3073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = nil )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_3072]) ).
tcf(c_6638,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6639,definition,
iPr_def_13 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6640,definition,
iPr_def_14 = app(iPr_def_13,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6641,definition,
iPr_def_15 = app(sk6,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6642,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = nil )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_3073]) ).
tcf(c_6645,negated_conjecture,
iPr_def_14 = sk4,
inference(demodulation,[status(thm)],[c_593,c_6638,c_6639,c_6640]) ).
tcf(c_6646,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_585,c_6641]) ).
tcf(c_6647,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_573]) ).
tcf(c_6648,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_571]) ).
tcf(c_6649,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_569]) ).
tcf(c_9212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = nil )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_15 )
| ( app(app(X0,X1),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6642,c_6645,c_6646]) ).
tcf(c_9236,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk6,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6639,c_9212]) ).
tcf(c_9237,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk6,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9236,c_6648]) ).
tcf(c_9255,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( app(sk6,sk7) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6640,c_9237]) ).
tcf(c_9256,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(ground_joinability,[status(thm)],[c_9255,c_6641]) ).
tcf(c_9257,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9256,c_6649]) ).
tcf(c_9744,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6638,c_339]) ).
tcf(c_9747,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9744,c_6647,c_261]) ).
tcf(c_9755,plain,
nil = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9257,c_9747]) ).
tcf(c_9800,plain,
cons(sk5,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6638,c_9755]) ).
tcf(c_10746,plain,
( ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9800,c_352]) ).
tcf(c_10748,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10746,c_6647,c_9747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC004-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.81 % Computer : n010.cluster.edu
% 0.14/5.81 % Model : x86_64 x86_64
% 0.14/5.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.81 % Memory : 8046.5625MB
% 0.14/5.81 % OS : Linux 6.8.0-71-generic
% 0.14/5.81 % CPULimit : 300
% 0.14/5.81 % WCLimit : 300
% 0.14/5.81 % DateTime : Thu Sep 24 15:52:56 UTC 2026
% 0.14/5.82 % CPUTime :
% 0.14/5.82 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.85 Running first-order theorem proving
% 0.14/5.85 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
% 0.14/5.86
% 0.14/5.86 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.86
% 0.14/5.86 % Detected problem language: tptp
% 0.14/5.88 % Proving...
% 3.25/6.64 % SZS status Started for theBenchmark.p
% 3.25/6.64 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/6.64
% 3.25/6.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.25/6.64
% 3.25/6.64 % ------ iProver source info
% 3.25/6.64
% 3.25/6.64 % git: date: 2026-07-19 20:42:38 +0200
% 3.25/6.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.25/6.64 % git: non_committed_changes: false
% 3.25/6.64
% 3.25/6.64 % ------ Parsing...% successful
% 3.25/6.64
% 3.25/6.64
% 3.25/6.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.25/6.64
% 3.25/6.64 % ------ 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 %
% 3.25/6.64
% 3.25/6.64 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.25/6.64
% 3.25/6.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.25/6.64 % ------ Proving...
% 3.25/6.64 % ------ Problem Properties
% 3.25/6.64
% 3.25/6.64 %
% 3.25/6.64 % clauses 191
% 3.25/6.64 % conjectures 7
% 3.25/6.64 % EPR 60
% 3.25/6.64 % Horn 163
% 3.25/6.64 % unary 70
% 3.25/6.64 % binary 21
% 3.25/6.64 % lits 563
% 3.25/6.64 % lits eq 81
% 3.25/6.64 % fd_pure 0
% 3.25/6.64 % fd_pseudo 0
% 3.25/6.64 % fd_cond 16
% 3.25/6.64 % fd_pseudo_cond 14
% 3.25/6.64 % AC symbols 0
% 3.25/6.64
% 3.25/6.64 % ------ Schedule dynamic 5 is on
% 3.25/6.64
% 3.25/6.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.25/6.64
% 3.25/6.64
% 3.25/6.64 % ------
% 3.25/6.64 % Current options:
% 3.25/6.64 % ------
% 3.25/6.64
% 3.25/6.64
% 3.25/6.64 %
% 3.25/6.64
% 3.25/6.64 % ------ Proving...
% 3.25/6.64 %
% 3.25/6.64
% 3.25/6.64 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/6.64
% 3.25/6.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.25/6.64
% 3.25/6.64
%------------------------------------------------------------------------------