%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC206-1 : 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 : n017.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 03:08:52 PM UTC 2026
% Result : Unsatisfiable 3.54s 1.28s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 81 ( 22 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f80,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause83) ).
fof(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/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(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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f216,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f219,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f83]) ).
tcf(c_254,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_326,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_329,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_330,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_434,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f215]) ).
tcf(c_437,negated_conjecture,
~ neq(sk3,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_442,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_503,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_550,negated_conjecture,
ssList(sk5),
inference(global_subsumption_just,[status(thm)],[c_439,c_436,c_439]) ).
tcf(c_558,negated_conjecture,
segmentP(sk3,sk5),
inference(global_subsumption_just,[status(thm)],[c_442,c_436,c_442]) ).
tcf(c_562,negated_conjecture,
neq(sk5,nil),
inference(global_subsumption_just,[status(thm)],[c_440,c_436,c_440]) ).
tcf(c_2874,plain,
( ( nil != nil )
| ( sk3 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_562,c_437]) ).
tcf(c_2875,plain,
sk3 != sk5,
inference(global_subsumption_just,[status(thm)],[c_2874,c_254,c_329,c_503,c_2874]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_346,c_437]) ).
tcf(c_2900,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(unflattening,[status(thm)],[c_2899]) ).
tcf(c_2901,plain,
nil = sk3,
inference(global_subsumption_just,[status(thm)],[c_2900,c_434,c_254,c_2900]) ).
tcf(c_4717,plain,
segmentP(nil,sk5),
inference(demodulation,[status(thm)],[c_558,c_2901]) ).
tcf(c_4719,plain,
nil != sk5,
inference(light_normalisation,[status(thm)],[c_2875,c_2901]) ).
tcf(c_9428,plain,
segmentP(nil,sk5),
inference(demodulation,[status(thm)],[c_4717]) ).
tcf(c_9430,plain,
nil != sk5,
inference(demodulation,[status(thm)],[c_4719]) ).
tcf(c_9433,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_550]) ).
tcf(c_12399,plain,
( ( nil = sk5 )
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_9428,c_326]) ).
tcf(c_12400,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12399,c_9430,c_9433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC206-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.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 16:53:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 3.54/1.28 % SZS status Started for theBenchmark.p
% 3.54/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.28
% 3.54/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.28
% 3.54/1.28 % ------ iProver source info
% 3.54/1.28
% 3.54/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.28 % git: non_committed_changes: false
% 3.54/1.28
% 3.54/1.28 % ------ Parsing...% successful
% 3.54/1.28
% 3.54/1.28
% 3.54/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.54/1.28
% 3.54/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 7 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.54/1.28
% 3.54/1.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.54/1.28
% 3.54/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.28 % ------ Proving...
% 3.54/1.28 % ------ Problem Properties
% 3.54/1.28
% 3.54/1.28 %
% 3.54/1.28 % clauses 184
% 3.54/1.28 % conjectures 3
% 3.54/1.28 % EPR 59
% 3.54/1.28 % Horn 156
% 3.54/1.28 % unary 65
% 3.54/1.28 % binary 21
% 3.54/1.28 % lits 548
% 3.54/1.28 % lits eq 72
% 3.54/1.28 % fd_pure 0
% 3.54/1.28 % fd_pseudo 0
% 3.54/1.28 % fd_cond 15
% 3.54/1.28 % fd_pseudo_cond 14
% 3.54/1.28 % AC symbols 0
% 3.54/1.28
% 3.54/1.28 % ------ Schedule dynamic 5 is on
% 3.54/1.28
% 3.54/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.28
% 3.54/1.28
% 3.54/1.28 % ------
% 3.54/1.28 % Current options:
% 3.54/1.28 % ------
% 3.54/1.28
% 3.54/1.28
% 3.54/1.28 %
% 3.54/1.28
% 3.54/1.28 % ------ Proving...
% 3.54/1.28 %
% 3.54/1.28
% 3.54/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.28
% 3.54/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.28
% 3.54/1.28
%------------------------------------------------------------------------------