%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 01:04:13 PM UTC 2026
% Result : Unsatisfiable 1.61s 1.28s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ follows(X0,X1)
| succeeds(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',direct_success) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ succeeds(X2,X1)
| ~ succeeds(X0,X2)
| succeeds(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_success) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ labels(X2,X0)
| ~ has(X1,goto(X2))
| succeeds(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goto_success) ).
fof(f5,axiom,
labels(loop,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_state_3) ).
fof(f9,axiom,
follows(p8,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_3_to_8) ).
fof(f10,axiom,
has(p8,goto(loop)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_8) ).
fof(f11,negated_conjecture,
~ succeeds(p3,p3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_loop_through_p3) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( succeeds(X0,X1)
| ~ follows(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( succeeds(X0,X2)
| ~ succeeds(X1,X2)
| ~ succeeds(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( succeeds(X2,X0)
| ~ labels(X1,X2)
| ~ has(X0,goto(X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
labels(loop,p3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
follows(p8,p3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
has(p8,goto(loop)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,negated_conjecture,
~ succeeds(p3,p3),
inference(cnf_transformation,[],[f11]) ).
tcf(c_112,plain,
succeeds(p8,p3),
inference(resolution,[status(thm)],[c_60,c_68]) ).
tcf(c_118,plain,
! [X0: $i] :
( succeeds(p3,X0)
| ~ has(X0,goto(loop)) ),
inference(resolution,[status(thm)],[c_62,c_64]) ).
tcf(c_132,plain,
succeeds(p3,p8),
inference(resolution,[status(thm)],[c_69,c_118]) ).
tcf(c_159,plain,
! [X0: $i] :
( succeeds(p3,X0)
| ~ succeeds(p8,X0) ),
inference(resolution,[status(thm)],[c_61,c_132]) ).
tcf(c_160,plain,
( succeeds(p3,p3)
| ~ succeeds(p8,p3) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_161,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_160,c_112,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 07:42:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.61/1.28 % SZS status Started for theBenchmark.p
% 1.61/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.28
% 1.61/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.61/1.28
% 1.61/1.28 % ------ iProver source info
% 1.61/1.28
% 1.61/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.61/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.61/1.28 % git: non_committed_changes: false
% 1.61/1.28
% 1.61/1.28 % ------ Parsing...% successful
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.61/1.28
% 1.61/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.61/1.28
% 1.61/1.28 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.61/1.28 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.61/1.28 % ------ Proving...
% 1.61/1.28 % ------ Problem Properties
% 1.61/1.28
% 1.61/1.28 %
% 1.61/1.28 % clauses 6
% 1.61/1.28 % conjectures 1
% 1.61/1.28 % EPR 6
% 1.61/1.28 % Horn 6
% 1.61/1.28 % unary 5
% 1.61/1.28 % binary 0
% 1.61/1.28 % lits 8
% 1.61/1.28 % lits eq 0
% 1.61/1.28 % fd_pure 0
% 1.61/1.28 % fd_pseudo 0
% 1.61/1.28 % fd_cond 0
% 1.61/1.28 % fd_pseudo_cond 0
% 1.61/1.28 % AC symbols 0
% 1.61/1.28
% 1.61/1.28 % ------ Schedule EPR Horn non eq is on
% 1.61/1.28
% 1.61/1.28 % ------ no equalities: superposition off
% 1.61/1.28
% 1.61/1.28 % ------ Option_epr_horn Time Limit: Unbounded
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 % ------
% 1.61/1.28 % Current options:
% 1.61/1.28 % ------
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 %
% 1.61/1.28
% 1.61/1.28 % ------ Proving...
% 1.61/1.28 %
% 1.61/1.28
% 1.61/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.28
% 1.61/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.28
% 1.61/1.28
%------------------------------------------------------------------------------