%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC003-1 : 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 : 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 03:07:28 PM UTC 2026
% Result : Unsatisfiable 4.16s 16.30s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f268ERROR: Could not build tree for root c_10381ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
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(f119,axiom,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
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(f217,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/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f221,negated_conjecture,
( ~ neq(sk4,nil)
| app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f222,plain,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(reorient_equations,[],[f221]) ).
fof(f223,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,sk7) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f224,plain,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
inference(reorient_equations,[],[f223]) ).
fof(f237,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,[],[f217,f204,f205]) ).
fof(f245,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
tcf(c_263,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_266,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f11]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_371,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_445,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f268]) ).
tcf(c_453,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,[],[f237]) ).
tcf(c_454,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_455,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_456,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_457,negated_conjecture,
( ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_458,negated_conjecture,
( ( app(sk6,sk7) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_574,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_456,c_445,c_456]) ).
tcf(c_576,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_455,c_445,c_455]) ).
tcf(c_578,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_454,c_445,c_454]) ).
tcf(c_590,negated_conjecture,
app(sk6,sk7) = sk3,
inference(global_subsumption_just,[status(thm)],[c_458,c_445,c_458]) ).
tcf(c_598,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk4,
inference(global_subsumption_just,[status(thm)],[c_457,c_445,c_457]) ).
tcf(c_607,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_453,c_445,c_453]) ).
tcf(c_608,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_607]) ).
tcf(c_3096,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_608,c_355]) ).
tcf(c_3097,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_3096]) ).
tcf(c_3099,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_3097,c_263,c_3097]) ).
tcf(c_3100,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_3099]) ).
tcf(c_6682,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6683,definition,
iPr_def_13 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6684,definition,
iPr_def_14 = app(iPr_def_13,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6685,definition,
iPr_def_15 = app(sk6,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6686,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_3100]) ).
tcf(c_6690,negated_conjecture,
iPr_def_14 = sk4,
inference(demodulation,[status(thm)],[c_598,c_6682,c_6683,c_6684]) ).
tcf(c_6691,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_590,c_6685]) ).
tcf(c_6692,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_578]) ).
tcf(c_6693,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_576]) ).
tcf(c_6694,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_574]) ).
tcf(c_9299,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_6686,c_6690,c_6691]) ).
tcf(c_9323,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_6683,c_9299]) ).
tcf(c_9324,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_9323,c_6693]) ).
tcf(c_9342,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( app(sk6,sk7) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6684,c_9324]) ).
tcf(c_9343,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(ground_joinability,[status(thm)],[c_9342,c_6685]) ).
tcf(c_9344,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9343,c_6694]) ).
tcf(c_9832,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6682,c_341]) ).
tcf(c_9835,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9832,c_6692,c_263]) ).
tcf(c_9843,plain,
nil = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9344,c_9835]) ).
tcf(c_9888,plain,
cons(sk5,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6682,c_9843]) ).
tcf(c_9889,plain,
~ singletonP(iPr_def_12),
inference(demodulation,[status(thm)],[c_266,c_9843]) ).
tcf(c_10368,plain,
! [X0: $i] :
( singletonP(cons(X0,iPr_def_12))
| ~ ssItem(X0)
| ~ ssList(cons(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_371,c_9843]) ).
tcf(c_10379,plain,
( singletonP(cons(sk5,iPr_def_12))
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9888,c_10368]) ).
tcf(c_10380,plain,
( singletonP(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_10379,c_9888]) ).
tcf(c_10381,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10380,c_9889,c_6692,c_9835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC003-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/15.38 % Computer : n020.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Thu Sep 24 15:52:35 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/15.42 Running first-order theorem proving
% 0.14/15.42 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
% 0.14/15.43
% 0.14/15.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.43
% 0.14/15.43 % Detected problem language: tptp
% 0.14/15.44 % Proving...
% 4.16/16.30 % SZS status Started for theBenchmark.p
% 4.16/16.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/16.30
% 4.16/16.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/16.30
% 4.16/16.30 % ------ iProver source info
% 4.16/16.30
% 4.16/16.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.16/16.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/16.30 % git: non_committed_changes: false
% 4.16/16.30
% 4.16/16.30 % ------ Parsing...% successful
% 4.16/16.30
% 4.16/16.30
% 4.16/16.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.16/16.30
% 4.16/16.30 % ------ 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 %
% 4.16/16.30
% 4.16/16.30 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.16/16.30
% 4.16/16.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.16/16.30 % ------ Proving...
% 4.16/16.30 % ------ Problem Properties
% 4.16/16.30
% 4.16/16.30 %
% 4.16/16.30 % clauses 192
% 4.16/16.30 % conjectures 8
% 4.16/16.30 % EPR 61
% 4.16/16.30 % Horn 164
% 4.16/16.30 % unary 70
% 4.16/16.30 % binary 21
% 4.16/16.30 % lits 567
% 4.16/16.30 % lits eq 82
% 4.16/16.30 % fd_pure 0
% 4.16/16.30 % fd_pseudo 0
% 4.16/16.30 % fd_cond 17
% 4.16/16.30 % fd_pseudo_cond 14
% 4.16/16.30 % AC symbols 0
% 4.16/16.30
% 4.16/16.30 % ------ Schedule dynamic 5 is on
% 4.16/16.30
% 4.16/16.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/16.30
% 4.16/16.30
% 4.16/16.30 % ------
% 4.16/16.30 % Current options:
% 4.16/16.30 % ------
% 4.16/16.30
% 4.16/16.30
% 4.16/16.30 %
% 4.16/16.30
% 4.16/16.30 % ------ Proving...
% 4.16/16.30 %
% 4.16/16.30
% 4.16/16.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/16.30
% 4.16/16.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/16.30
% 4.16/16.30
%------------------------------------------------------------------------------