%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC095-1 : 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 : n019.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 03:07:52 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.29s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 24 unt; 3 def)
% Number of atoms : 75 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 36 ~; 27 |; 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
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) != sk2
| app(app(X0,X1),X2) != sk1
| ~ 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,
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(sk5,sk6),sk7) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk3 = app(app(sk5,sk6),sk7),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
app(sk5,sk7) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk4 = app(sk5,sk7),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk4
| app(app(X0,X1),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f206,f205,f204]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk4 )
| ( app(app(X0,X1),X2) != sk3 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_436,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f207]) ).
tcf(c_437,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f208]) ).
tcf(c_438,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f209]) ).
tcf(c_439,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3,
inference(cnf_transformation,[],[f211]) ).
tcf(c_440,negated_conjecture,
app(sk5,sk7) = sk4,
inference(cnf_transformation,[],[f213]) ).
tcf(c_6477,definition,
iPr_def_12 = app(sk5,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6478,definition,
iPr_def_13 = app(sk5,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6479,definition,
iPr_def_14 = app(iPr_def_13,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6480,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk4 )
| ( app(app(X0,X1),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6481,negated_conjecture,
iPr_def_12 = sk4,
inference(demodulation,[status(thm)],[c_440,c_6477]) ).
tcf(c_6482,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_439,c_6478,c_6479]) ).
tcf(c_6483,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6484,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6485,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_12 )
| ( app(app(X0,X1),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6480,c_6481,c_6482]) ).
tcf(c_9059,plain,
! [X0: $i] :
( ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk5,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6478,c_9014]) ).
tcf(c_9060,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk5,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9059,c_6484,c_6485]) ).
tcf(c_9072,plain,
( ~ ssList(sk7)
| ( app(iPr_def_13,sk7) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6477,c_9060]) ).
tcf(c_9073,plain,
~ ssList(sk7),
inference(ground_joinability,[status(thm)],[c_9072,c_6479]) ).
tcf(c_9074,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9073,c_6483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC095-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 16:21:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.66/1.29 % SZS status Started for theBenchmark.p
% 2.66/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.66/1.29
% 2.66/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.66/1.29
% 2.66/1.29 % ------ iProver source info
% 2.66/1.29
% 2.66/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.66/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.66/1.29 % git: non_committed_changes: false
% 2.66/1.29
% 2.66/1.29 % ------ Parsing...% successful
% 2.66/1.29
% 2.66/1.29
% 2.66/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.66/1.29
% 2.66/1.29 % ------ 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 %
% 2.66/1.29
% 2.66/1.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.66/1.29
% 2.66/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.66/1.29 % ------ Proving...
% 2.66/1.29 % ------ Problem Properties
% 2.66/1.29
% 2.66/1.29 %
% 2.66/1.29 % clauses 188
% 2.66/1.29 % conjectures 8
% 2.66/1.29 % EPR 59
% 2.66/1.29 % Horn 160
% 2.66/1.29 % unary 68
% 2.66/1.29 % binary 21
% 2.66/1.29 % lits 556
% 2.66/1.29 % lits eq 76
% 2.66/1.29 % fd_pure 0
% 2.66/1.29 % fd_pseudo 0
% 2.66/1.29 % fd_cond 15
% 2.66/1.29 % fd_pseudo_cond 14
% 2.66/1.29 % AC symbols 0
% 2.66/1.29
% 2.66/1.29 % ------ Schedule dynamic 5 is on
% 2.66/1.29
% 2.66/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.66/1.29
% 2.66/1.29
% 2.66/1.29 % ------
% 2.66/1.29 % Current options:
% 2.66/1.29 % ------
% 2.66/1.29
% 2.66/1.29
% 2.66/1.29 %
% 2.66/1.29
% 2.66/1.29 % ------ Proving...
% 2.66/1.29 %
% 2.66/1.29
% 2.66/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.66/1.29
% 2.66/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.66/1.29
% 2.66/1.29
%------------------------------------------------------------------------------