%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC059-1 : 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 : 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 03:07:43 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.29s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 87 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 60 ~; 53 |; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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(sk3,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f209,f204,f204]) ).
fof(f216,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f210,f204,f204,f205]) ).
fof(f217,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f218,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f212,f205,f204,f205]) ).
tcf(c_249,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_251,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_252,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_253,negated_conjecture,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_254,negated_conjecture,
( neq(sk4,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_255,negated_conjecture,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_256,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_257,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_272,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_291,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_254,c_254,c_256,c_251]) ).
tcf(c_295,negated_conjecture,
neq(sk3,nil),
inference(global_subsumption_just,[status(thm)],[c_252,c_252,c_291]) ).
tcf(c_301,plain,
! [X0: $i] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_255,c_251,c_255,c_257]) ).
tcf(c_302,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(renaming,[status(thm)],[c_301]) ).
tcf(c_303,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(global_subsumption_just,[status(thm)],[c_257,c_302]) ).
tcf(c_623,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_295,c_303]) ).
tcf(c_624,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3) ),
inference(unflattening,[status(thm)],[c_623]) ).
tcf(c_625,plain,
~ segmentP(sk3,sk3),
inference(global_subsumption_just,[status(thm)],[c_624,c_249,c_253,c_291,c_624]) ).
tcf(c_1317,plain,
~ ssList(sk3),
inference(superposition,[status(thm)],[c_272,c_625]) ).
tcf(c_1318,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1317,c_249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 16:09:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.59/1.29 % SZS status Started for theBenchmark.p
% 1.59/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.29
% 1.59/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.29
% 1.59/1.29 % ------ iProver source info
% 1.59/1.29
% 1.59/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.29 % git: non_committed_changes: false
% 1.59/1.29
% 1.59/1.29 % ------ Parsing...% successful
% 1.59/1.29
% 1.59/1.29
% 1.59/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.59/1.29
% 1.59/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.59/1.29
% 1.59/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.59/1.29
% 1.59/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.59/1.29 % ------ Proving...
% 1.59/1.29 % ------ Problem Properties
% 1.59/1.29
% 1.59/1.29 %
% 1.59/1.29 % clauses 26
% 1.59/1.29 % conjectures 3
% 1.59/1.29 % EPR 15
% 1.59/1.29 % Horn 26
% 1.59/1.29 % unary 9
% 1.59/1.29 % binary 5
% 1.59/1.29 % lits 73
% 1.59/1.29 % lits eq 17
% 1.59/1.29 % fd_pure 0
% 1.59/1.29 % fd_pseudo 0
% 1.59/1.29 % fd_cond 4
% 1.59/1.29 % fd_pseudo_cond 3
% 1.59/1.29 % AC symbols 0
% 1.59/1.29
% 1.59/1.29 % ------ Schedule dynamic 5 is on
% 1.59/1.29
% 1.59/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.59/1.29
% 1.59/1.29
% 1.59/1.29 % ------
% 1.59/1.29 % Current options:
% 1.59/1.29 % ------
% 1.59/1.29
% 1.59/1.29
% 1.59/1.29 %
% 1.59/1.29
% 1.59/1.29 % ------ Proving...
% 1.59/1.29 %
% 1.59/1.29
% 1.59/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.29
% 1.59/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.29
% 1.59/1.29
%------------------------------------------------------------------------------