%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC082-1 : 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 : n009.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 03:07:49 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.29s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 43 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
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(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f216,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
tcf(c_436,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f215]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_439,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_440,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_441,negated_conjecture,
( segmentP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_442,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_562,negated_conjecture,
neq(sk5,nil),
inference(global_subsumption_just,[status(thm)],[c_440,c_436,c_440]) ).
tcf(c_2988,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_562]) ).
tcf(c_2989,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(unflattening,[status(thm)],[c_2988]) ).
tcf(c_2990,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2989,c_441,c_442,c_439,c_436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 16:17:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.69/1.29 % SZS status Started for theBenchmark.p
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.29
% 1.69/1.29 % ------ iProver source info
% 1.69/1.29
% 1.69/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.29 % git: non_committed_changes: false
% 1.69/1.29
% 1.69/1.29 % ------ Parsing...% successful
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s %
% 1.69/1.29
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.29
% 1.69/1.29
%------------------------------------------------------------------------------