%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 03:51:35 PM UTC 2026
% Result : Unsatisfiable 1.51s 1.47s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : 'E'(f('AP'(s(s('0')),X0)),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_02) ).
fof(f3,axiom,
! [X0] : 'E'(f(X0),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_03) ).
fof(f4,axiom,
! [X0,X1] :
( ~ 'E'(f(X1),s('0'))
| ~ 'E'(f(X0),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_04) ).
tcf(c_54,plain,
! [X0: $i] : 'E'(f('AP'(s(s('0')),X0)),'0'),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i] : 'E'(f(X0),s('0')),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ~ 'E'(f(X1),'0')
| ~ 'E'(f(X0),s('0')) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X1: $i] : ~ 'E'(f(X1),'0'),
inference(global_subsumption_just,[status(thm)],[c_56,c_55,c_56]) ).
tcf(c_61,plain,
! [X0: $i] : ~ 'E'(f(X0),'0'),
inference(renaming,[status(thm)],[c_60]) ).
tcf(c_67,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Fri Sep 25 03:17:48 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 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
% 0.16/0.48
% 0.16/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.48
% 0.16/0.48 % Detected problem language: tptp
% 0.16/0.50 % Proving...
% 1.51/1.47 % SZS status Started for theBenchmark.p
% 1.51/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.47
% 1.51/1.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.51/1.47
% 1.51/1.47 % ------ iProver source info
% 1.51/1.47
% 1.51/1.47 % git: date: 2026-07-19 20:42:38 +0200
% 1.51/1.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.51/1.47 % git: non_committed_changes: false
% 1.51/1.47
% 1.51/1.47 % ------ Parsing...% successful
% 1.51/1.47
% 1.51/1.47
% 1.51/1.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.51/1.47
% 1.51/1.47 % ------ Preprocessing...%
% 1.51/1.47
% 1.51/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.47
% 1.51/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.47
% 1.51/1.47
%------------------------------------------------------------------------------