%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:51:34 PM UTC 2026
% Result : Unsatisfiable 1.08s 1.17s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : iLEQ(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_02) ).
fof(f3,axiom,
! [X0] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).
fof(f4,axiom,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_04) ).
fof(f5,axiom,
! [X0] : ~ 'LE'(f(X0),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7_05) ).
fof(f6,axiom,
! [X0,X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(X1))
| ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_06) ).
fof(f7,axiom,
! [X0] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_07) ).
fof(f9,axiom,
! [X0] : iLEQ(X0,g(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_09) ).
fof(f11,axiom,
! [X0] : ~ 'E'(f(X0),f(g(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_11) ).
tcf(c_62,plain,
! [X0: $i] : iLEQ(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i] : ~ 'LE'(f(X0),'0'),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( 'LE'(f(X1),'0')
| 'E'('0',f(X1))
| ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0')) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i] :
( 'E'(f(X0),f(g(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(g(X0))) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,plain,
! [X0: $i] : iLEQ(X0,g(X0)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i] : ~ 'E'(f(X0),f(g(X0))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_82,plain,
! [X0: $i] :
( ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_71,c_63]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0))) ),
inference(renaming,[status(thm)],[c_82]) ).
tcf(c_85,plain,
! [X0: $i] :
( ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_71,c_67]) ).
tcf(c_86,plain,
! [X0: $i] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(g(X0))) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( 'E'('0',f(X1))
| ~ iLEQ(X0,X1)
| ~ 'LE'(f(X0),s('0')) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_65]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( 'E'('0',f(X1))
| 'E'(s('0'),f(X0))
| ~ iLEQ(X0,X1) ),
inference(resolution,[status(thm)],[c_64,c_94]) ).
tcf(c_130,plain,
! [X0: $i] :
( 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[status(thm)],[c_62,c_116]) ).
tcf(c_138,plain,
! [X0: $i] :
( 'E'('0',f(g(X0)))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[status(thm)],[c_116,c_69]) ).
tcf(c_140,plain,
! [X0: $i] : 'E'(s('0'),f(X0)),
inference(global_subsumption_just,[status(thm)],[c_138,c_83,c_130,c_138]) ).
tcf(c_147,plain,
! [X0: $i] : ~ 'E'(s('0'),f(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_140]) ).
tcf(c_148,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_147,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 03:17:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.08/1.17 % SZS status Started for theBenchmark.p
% 1.08/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.08/1.17
% 1.08/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.17
% 1.08/1.17 % ------ iProver source info
% 1.08/1.17
% 1.08/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.17 % git: non_committed_changes: false
% 1.08/1.17
% 1.08/1.17 % ------ Parsing...% successful
% 1.08/1.17
% 1.08/1.17
% 1.08/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.08/1.17
% 1.08/1.17 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s%
% 1.08/1.17
% 1.08/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.08/1.17
% 1.08/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.17
% 1.08/1.17
%------------------------------------------------------------------------------