%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC198-1 : 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 : n018.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 03:08:50 PM UTC 2026
% Result : Unsatisfiable 43.08s 6.90s
% Output : CNFRefutation 43.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 133 ( 58 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 59 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f173,axiom,
! [X2,X0,X1] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( X0 = X2
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(reorient_equations,[],[f173]) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( memberP(sk1,sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( X0 != sk5(X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X0] :
( sk5(X0) != X0
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( nil = sk4
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( nil = sk4
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( nil = sk4
| sk3 = cons(sk6,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f216,negated_conjecture,
( nil = sk3
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( nil = sk3
| sk3 = cons(sk6,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f222,plain,
! [X0] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f207,f205]) ).
tcf(c_258,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_259,plain,
ssItem(skac3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_321,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_442,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ( sk5(X0) != X0 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_443,negated_conjecture,
( ssItem(sk6)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_444,negated_conjecture,
( ssItem(sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_445,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk6,nil) = sk3 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_448,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk6,nil) = sk3 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_1087,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sk3 = nil )
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_448,c_411]) ).
tcf(c_1088,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sk4 = nil )
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_445,c_411]) ).
tcf(c_1090,plain,
! [X0: $i] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ( X0 = sk6 )
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_1088,c_258,c_443,c_321,c_1088]) ).
tcf(c_1091,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(renaming,[status(thm)],[c_1090]) ).
tcf(c_1098,plain,
! [X0: $i] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ( X0 = sk6 )
| ( sk3 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_1087,c_258,c_444,c_321,c_1087]) ).
tcf(c_1099,plain,
! [X0: $i] :
( ( sk3 = nil )
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(renaming,[status(thm)],[c_1098]) ).
tcf(c_1299,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( sk5(X0) = sk6 )
| ~ ssItem(X0)
| ~ ssItem(sk5(X0)) ),
inference(superposition,[status(thm)],[c_441,c_1091]) ).
tcf(c_1303,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( sk5(X0) = sk6 )
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1299,c_440,c_1299]) ).
tcf(c_1358,plain,
! [X0: $i] :
( ( sk3 = nil )
| ( sk5(X0) = sk6 )
| ~ ssItem(X0)
| ~ ssItem(sk5(X0)) ),
inference(superposition,[status(thm)],[c_441,c_1099]) ).
tcf(c_1362,plain,
! [X0: $i] :
( ( sk3 = nil )
| ( sk5(X0) = sk6 )
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1358,c_440,c_1358]) ).
tcf(c_1419,plain,
( ( sk4 = nil )
| ( sk5(sk6) = sk6 ) ),
inference(superposition,[status(thm)],[c_443,c_1303]) ).
tcf(c_1471,plain,
( ( sk4 = nil )
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_1419,c_442]) ).
tcf(c_1474,plain,
sk4 = nil,
inference(global_subsumption_just,[status(thm)],[c_1471,c_443,c_1471]) ).
tcf(c_1497,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_1474,c_321]) ).
tcf(c_1684,plain,
! [X0: $i] :
( ( sk3 = sk4 )
| ( sk5(X0) = sk6 )
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c_1362,c_1474]) ).
tcf(c_1687,plain,
( ( sk3 = nil )
| ( sk3 = sk4 )
| ( sk5(sk6) = sk6 ) ),
inference(superposition,[status(thm)],[c_444,c_1684]) ).
tcf(c_1691,plain,
( ( sk3 = sk4 )
| ( sk5(sk6) = sk6 ) ),
inference(light_normalisation,[status(thm)],[c_1687,c_1474]) ).
tcf(c_1749,plain,
( ( sk3 = sk4 )
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_1691,c_442]) ).
tcf(c_1762,plain,
( ( sk3 = nil )
| ( sk3 = sk4 ) ),
inference(superposition,[status(thm)],[c_444,c_1749]) ).
tcf(c_1765,plain,
sk3 = sk4,
inference(light_normalisation,[status(thm)],[c_1762,c_1474]) ).
tcf(c_1822,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_1497,c_1765]) ).
tcf(c_1824,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ ssItem(sk5(X0)) ),
inference(superposition,[status(thm)],[c_441,c_1822]) ).
tcf(c_1829,plain,
! [X0: $i] : ~ ssItem(X0),
inference(global_subsumption_just,[status(thm)],[c_1824,c_440,c_1824]) ).
tcf(c_1832,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_259,c_1829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC198-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:58:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 43.08/6.90 % SZS status Started for theBenchmark.p
% 43.08/6.90 % SZS status Unsatisfiable for theBenchmark.p
% 43.08/6.90
% 43.08/6.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.08/6.90
% 43.08/6.90 % ------ iProver source info
% 43.08/6.90
% 43.08/6.90 % git: date: 2026-07-19 20:42:38 +0200
% 43.08/6.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.08/6.90 % git: non_committed_changes: false
% 43.08/6.90
% 43.08/6.90 % ------ Parsing...% successful
% 43.08/6.90
% 43.08/6.90
% 43.08/6.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.08/6.90
% 43.08/6.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 43.08/6.90
% 43.08/6.90 % ------ Preprocessing...%
% 43.08/6.90
% 43.08/6.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.08/6.90 % ------ Proving...
% 43.08/6.90 % ------ Problem Properties
% 43.08/6.90
% 43.08/6.90 %
% 43.08/6.90 % clauses 192
% 43.08/6.90 % conjectures 13
% 43.08/6.90 % EPR 62
% 43.08/6.90 % Horn 154
% 43.08/6.90 % unary 60
% 43.08/6.90 % binary 30
% 43.08/6.90 % lits 581
% 43.08/6.90 % lits eq 84
% 43.08/6.90 % fd_pure 0
% 43.08/6.90 % fd_pseudo 0
% 43.08/6.90 % fd_cond 17
% 43.08/6.90 % fd_pseudo_cond 16
% 43.08/6.90 % AC symbols 0
% 43.08/6.90
% 43.08/6.90 % ------ Input Options Time Limit: Unbounded
% 43.08/6.90
% 43.08/6.90
% 43.08/6.90 % ------
% 43.08/6.90 % Current options:
% 43.08/6.90 % ------
% 43.08/6.90
% 43.08/6.90
% 43.08/6.90 %
% 43.08/6.90
% 43.08/6.90 % ------ Proving...
% 43.08/6.90 %
% 43.08/6.90
% 43.08/6.90 % SZS status Unsatisfiable for theBenchmark.p
% 43.08/6.90
% 43.08/6.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.08/6.90
% 43.08/6.90
%------------------------------------------------------------------------------