%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC016-1 : 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 : n004.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 03:07:31 PM UTC 2026
% Result : Unsatisfiable 1.76s 1.29s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 88 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 115 ( 60 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 6 :)
% 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,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f211,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f212,f204,f204,f205]) ).
fof(f219,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f220,plain,
! [X0] :
( ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
tcf(c_438,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_439,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_440,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_441,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_442,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_443,negated_conjecture,
( neq(sk4,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_445,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_446,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_554,negated_conjecture,
ssList(sk5),
inference(global_subsumption_just,[status(thm)],[c_439,c_439,c_443,c_445,c_438]) ).
tcf(c_562,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_443,c_443,c_445,c_438]) ).
tcf(c_568,negated_conjecture,
neq(sk5,nil),
inference(global_subsumption_just,[status(thm)],[c_440,c_440,c_562]) ).
tcf(c_578,plain,
! [X0: $i] :
( ~ neq(X0,nil)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_438,c_444,c_446]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil) ),
inference(renaming,[status(thm)],[c_578]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_579]) ).
tcf(c_3015,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ( nil != nil )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_568,c_580]) ).
tcf(c_3016,plain,
( ~ ssList(sk5)
| ~ frontsegP(sk4,sk5)
| ~ frontsegP(sk3,sk5) ),
inference(unflattening,[status(thm)],[c_3015]) ).
tcf(c_3017,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3016,c_562,c_554,c_441,c_442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC016-1 : 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 : n004.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 15:56:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.76/1.29 % SZS status Started for theBenchmark.p
% 1.76/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.29
% 1.76/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.76/1.29
% 1.76/1.29 % ------ iProver source info
% 1.76/1.29
% 1.76/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.76/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.76/1.29 % git: non_committed_changes: false
% 1.76/1.29
% 1.76/1.29 % ------ Parsing...% successful
% 1.76/1.29
% 1.76/1.29
% 1.76/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.76/1.29
% 1.76/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s %
% 1.76/1.29
% 1.76/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.29
% 1.76/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.76/1.29
% 1.76/1.29
%------------------------------------------------------------------------------