%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC179-1 : 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 : n019.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 03:08:17 PM UTC 2026
% Result : Unsatisfiable 1.90s 1.30s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 36 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause2) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f219,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f227,plain,
~ duplicatefreeP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_256,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f2]) ).
tcf(c_319,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_442,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_444,negated_conjecture,
~ duplicatefreeP(sk3),
inference(cnf_transformation,[],[f227]) ).
tcf(c_455,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_3020,plain,
sk3 != nil,
inference(resolution_lifted,[status(thm)],[c_256,c_444]) ).
tcf(c_3047,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ( cons(X0,nil) != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_319,c_444]) ).
tcf(c_3104,plain,
! [X0: $i,X1: $i] :
( ssItem(X1)
| ~ ssList(X0)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_326,c_444]) ).
tcf(c_3105,plain,
! [X0: $i] :
( ssItem(X0)
| ~ ssList(sk3) ),
inference(unflattening,[status(thm)],[c_3104]) ).
tcf(c_3107,plain,
! [X0: $i] : ssItem(X0),
inference(global_subsumption_just,[status(thm)],[c_3105,c_442,c_3105]) ).
tcf(c_3115,plain,
! [X0: $i] : cons(X0,nil) != sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_3047,c_3107]) ).
tcf(c_3125,plain,
cons(sk5,nil) = sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_455,c_3020]) ).
tcf(c_3237,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3125,c_3115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC179-1 : 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 : n019.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
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Thu Sep 24 16:50:04 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 1.90/1.30 % SZS status Started for theBenchmark.p
% 1.90/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.30
% 1.90/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.90/1.30
% 1.90/1.30 % ------ iProver source info
% 1.90/1.30
% 1.90/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.90/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.90/1.30 % git: non_committed_changes: false
% 1.90/1.30
% 1.90/1.30 % ------ Parsing...% successful
% 1.90/1.30
% 1.90/1.30
% 1.90/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.90/1.30
% 1.90/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s%
% 1.90/1.30
% 1.90/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.30
% 1.90/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.30
% 1.90/1.30
%------------------------------------------------------------------------------