%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC387-1 : 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 : n005.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 03:09:34 PM UTC 2026
% Result : Unsatisfiable 3.70s 6.28s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 88 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 51 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
! [X0] :
( ~ memberP(sk4,X0)
| cons(X0,nil) != sk3
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f206,f205,f204]) ).
fof(f216,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
tcf(c_249,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_250,negated_conjecture,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ( cons(X0,nil) != sk3 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_251,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_252,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_253,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_254,negated_conjecture,
( ( cons(sk5,nil) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_255,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_263,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_305,negated_conjecture,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_251,c_251,c_252]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i] :
( memberP(sk4,sk5)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_255,c_280]) ).
tcf(c_802,plain,
( memberP(sk4,sk5)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_801]) ).
tcf(c_803,plain,
memberP(sk4,sk5),
inference(global_subsumption_just,[status(thm)],[c_802,c_249,c_263,c_251,c_252,c_802]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( cons(sk5,nil) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_254,c_280]) ).
tcf(c_822,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_821]) ).
tcf(c_823,plain,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_822,c_249,c_263,c_305,c_822]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_253,c_280]) ).
tcf(c_842,plain,
( ssItem(sk5)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_841]) ).
tcf(c_843,plain,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_842,c_249,c_263,c_251,c_252,c_842]) ).
tcf(c_1786,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5) ),
inference(superposition,[status(thm)],[c_823,c_250]) ).
tcf(c_1787,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1786,c_843,c_803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.36 % Computer : n005.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Thu Sep 24 17:58:39 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.39 Running first-order theorem proving
% 0.09/5.39 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
% 0.12/5.40
% 0.12/5.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.40
% 0.12/5.40 % Detected problem language: tptp
% 0.12/5.41 % Proving...
% 3.70/6.28 % SZS status Started for theBenchmark.p
% 3.70/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.70/6.28
% 3.70/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.70/6.28
% 3.70/6.28 % ------ iProver source info
% 3.70/6.28
% 3.70/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.70/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.70/6.28 % git: non_committed_changes: false
% 3.70/6.28
% 3.70/6.28 % ------ Parsing...% successful
% 3.70/6.28
% 3.70/6.28
% 3.70/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.70/6.28
% 3.70/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.70/6.28
% 3.70/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.70/6.28
% 3.70/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.70/6.28 % ------ Proving...
% 3.70/6.28 % ------ Problem Properties
% 3.70/6.28
% 3.70/6.28 %
% 3.70/6.28 % clauses 32
% 3.70/6.28 % conjectures 4
% 3.70/6.28 % EPR 7
% 3.70/6.28 % Horn 30
% 3.70/6.28 % unary 8
% 3.70/6.28 % binary 3
% 3.70/6.28 % lits 105
% 3.70/6.28 % lits eq 24
% 3.70/6.28 % fd_pure 0
% 3.70/6.28 % fd_pseudo 0
% 3.70/6.28 % fd_cond 2
% 3.70/6.28 % fd_pseudo_cond 5
% 3.70/6.28 % AC symbols 0
% 3.70/6.28
% 3.70/6.28 % ------ Schedule dynamic 5 is on
% 3.70/6.28
% 3.70/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/6.28
% 3.70/6.28
% 3.70/6.28 % ------
% 3.70/6.28 % Current options:
% 3.70/6.28 % ------
% 3.70/6.28
% 3.70/6.28
% 3.70/6.28 %
% 3.70/6.28
% 3.70/6.28 % ------ Proving...
% 3.70/6.28 %
% 3.70/6.28
% 3.70/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.70/6.28
% 3.70/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/6.28
% 3.70/6.28
%------------------------------------------------------------------------------