%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC352-1 : 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 : n014.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 03:09:25 PM UTC 2026
% Result : Unsatisfiable 2.19s 1.28s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
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,
~ frontsegP(sk2,sk1),
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,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
~ frontsegP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f215,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f83]) ).
tcf(c_251,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_326,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_432,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_433,negated_conjecture,
~ frontsegP(sk4,sk3),
inference(cnf_transformation,[],[f212]) ).
tcf(c_434,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_435,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_436,negated_conjecture,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_544,plain,
frontsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_326,c_251,c_326]) ).
tcf(c_552,negated_conjecture,
~ neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_435,c_433,c_436]) ).
tcf(c_2722,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_552,c_343]) ).
tcf(c_2723,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_2722]) ).
tcf(c_2724,plain,
sk4 = nil,
inference(global_subsumption_just,[status(thm)],[c_2723,c_432,c_251,c_2723]) ).
tcf(c_2738,plain,
sk3 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_434,c_2724]) ).
tcf(c_4646,plain,
~ frontsegP(nil,nil),
inference(light_normalisation,[status(thm)],[c_433,c_2724,c_2738]) ).
tcf(c_4647,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4646,c_544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC352-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 17:47:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.19/1.28 % SZS status Started for theBenchmark.p
% 2.19/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.28
% 2.19/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.28
% 2.19/1.28 % ------ iProver source info
% 2.19/1.28
% 2.19/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.28 % git: non_committed_changes: false
% 2.19/1.28
% 2.19/1.28 % ------ Parsing...% successful
% 2.19/1.28
% 2.19/1.28
% 2.19/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.19/1.28
% 2.19/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 2.19/1.28
% 2.19/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.28
% 2.19/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.28
% 2.19/1.28
%------------------------------------------------------------------------------