%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : DAT063_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:13:57 PM UTC 2026
% Result : Theorem 1.31s 1.29s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 4 ( 4 atm; 0 fun; 0 num; 0 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 5 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
empty: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(func_def_2,type,
app: ( $int * heap ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(type_def_5,type,
heap: $tType ).
tff(func_def_9,type,
sK0: heap ).
tff(f10,axiom,
! [X0: heap] : ~ lsls(X0,empty),
file('/export/starexec/sandbox/benchmark/Axioms/DAT005_0.ax',ax_26) ).
tff(f12,conjecture,
! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1b) ).
tff(f13,negated_conjecture,
~ ! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f28,plain,
? [X0: heap] :
( lsls(X0,empty)
& ~ $less(length(X0),length(empty)) ),
inference(ennf_transformation,[],[f13]) ).
tff(f33,plain,
( lsls(sK0,empty)
& ~ $less(length(sK0),length(empty)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f28]) ).
tff(f45,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(cnf_transformation,[],[f10]) ).
tff(f49,plain,
lsls(sK0,empty),
inference(cnf_transformation,[],[f33]) ).
tcf(c_71,plain,
! [X0_heap: heap] : ~ lsls(X0_heap,empty),
inference(cnf_transformation,[],[f45]) ).
tcf(c_76,negated_conjecture,
lsls(sK0,empty),
inference(cnf_transformation,[],[f49]) ).
tcf(c_162,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_76,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT063_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 10:25:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running TFA theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.31/1.29 % SZS status Started for theBenchmark.p
% 1.31/1.29 % SZS status Theorem for theBenchmark.p
% 1.31/1.29
% 1.31/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/1.29
% 1.31/1.29 % ------ iProver source info
% 1.31/1.29
% 1.31/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.31/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/1.29 % git: non_committed_changes: false
% 1.31/1.29
% 1.31/1.29 % ------ Parsing...
% 1.31/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.31/1.29
% 1.31/1.29 % ------ Preprocessing...%
% 1.31/1.29
% 1.31/1.29 % SZS status Theorem for theBenchmark.p
% 1.31/1.29
% 1.31/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.29
% 1.31/1.29
%------------------------------------------------------------------------------