%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC009-1 : 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 : n008.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 03:07:29 PM UTC 2026
% Result : Unsatisfiable 3.67s 11.30s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 22 unt; 1 def)
% Number of atoms : 74 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 38 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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(f206,negated_conjecture,
! [X2,X0,X1] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f208]) ).
fof(f216,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk3
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
tcf(c_253,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_318,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_433,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_434,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_436,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f207]) ).
tcf(c_437,negated_conjecture,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[],[f209]) ).
tcf(c_6541,definition,
iPr_def_12 = app(sk3,sk5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6542,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6546,negated_conjecture,
iPr_def_12 = sk4,
inference(demodulation,[status(thm)],[c_437,c_6541]) ).
tcf(c_6547,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_6548,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_6549,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_433]) ).
tcf(c_9094,plain,
ssList(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_6548,c_6546]) ).
tcf(c_9098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6542,c_6546]) ).
tcf(c_9154,plain,
! [X0: $i] :
( ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 )
| ( app(sk3,X0) != sk3 ) ),
inference(superposition,[status(thm)],[c_6541,c_9098]) ).
tcf(c_9155,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 )
| ( app(sk3,X0) != sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9154,c_6547,c_6549]) ).
tcf(c_9159,plain,
( ~ ssList(nil)
| ( app(iPr_def_12,nil) != iPr_def_12 )
| ( app(sk3,nil) != sk3 ) ),
inference(instantiation,[status(thm)],[c_9155]) ).
tcf(c_9378,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_6549,c_318]) ).
tcf(c_9408,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_9094,c_318]) ).
tcf(c_9409,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9378,c_9408,c_9159,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n008.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Thu Sep 24 15:54:06 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 3.67/11.30 % SZS status Started for theBenchmark.p
% 3.67/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/11.30
% 3.67/11.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.67/11.30
% 3.67/11.30 % ------ iProver source info
% 3.67/11.30
% 3.67/11.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.67/11.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.67/11.30 % git: non_committed_changes: false
% 3.67/11.30
% 3.67/11.30 % ------ Parsing...% successful
% 3.67/11.30
% 3.67/11.30
% 3.67/11.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.67/11.30
% 3.67/11.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.67/11.30
% 3.67/11.30 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.67/11.30
% 3.67/11.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.67/11.30 % ------ Proving...
% 3.67/11.30 % ------ Problem Properties
% 3.67/11.30
% 3.67/11.30 %
% 3.67/11.30 % clauses 186
% 3.67/11.30 % conjectures 8
% 3.67/11.30 % EPR 58
% 3.67/11.30 % Horn 158
% 3.67/11.30 % unary 64
% 3.67/11.30 % binary 22
% 3.67/11.30 % lits 561
% 3.67/11.30 % lits eq 77
% 3.67/11.30 % fd_pure 0
% 3.67/11.30 % fd_pseudo 0
% 3.67/11.30 % fd_cond 15
% 3.67/11.30 % fd_pseudo_cond 14
% 3.67/11.30 % AC symbols 0
% 3.67/11.30
% 3.67/11.30 % ------ Schedule dynamic 5 is on
% 3.67/11.30
% 3.67/11.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.67/11.30
% 3.67/11.30
% 3.67/11.30 % ------
% 3.67/11.30 % Current options:
% 3.67/11.30 % ------
% 3.67/11.30
% 3.67/11.30
% 3.67/11.30 %
% 3.67/11.30
% 3.67/11.30 % ------ Proving...
% 3.67/11.30 %
% 3.67/11.30
% 3.67/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.67/11.30
% 3.67/11.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/11.30
% 3.67/11.30
%------------------------------------------------------------------------------