%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO633-1 : 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 : n001.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 1.16s 1.48s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 162 ( 85 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 9 ( 3 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 : 109 ( 0 sgn 109 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'(f(X5),s(s(s(s(s('0'))))))
| ~ 'E'(f(X4),'0')
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_03) ).
fof(f4,axiom,
! [X0] : 'E'(f(X0),s(s(s(s('0'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_04) ).
fof(f5,axiom,
! [X0] : 'E'(f(X0),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_05) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0')
| ~ 'E'(f(X4),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_07) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_09) ).
fof(f10,axiom,
! [X0,X1] :
( 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_10) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_12) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ 'E'(f(X5),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s('0')))))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i] : 'E'(f(X0),s(s(s(s('0'))))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,plain,
! [X0: $i] : 'E'(f(X0),s(s(s(s(s('0')))))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s('0')))))) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s('0')))))) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( 'E'(f(X0),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s('0')))))) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X0),s(s(s(s(s('0')))))) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( 'E'(f(X0),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_64,c_67]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
inference(renaming,[status(thm)],[c_76]) ).
tcf(c_82,plain,
! [X1: $i,X2: $i,X3: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_64,c_68]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),s(s('0')))
| ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
inference(renaming,[status(thm)],[c_82]) ).
tcf(c_85,plain,
! [X2: $i] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),s(s('0'))),
inference(global_subsumption_just,[status(thm)],[c_83,c_63,c_77,c_83]) ).
tcf(c_86,plain,
! [X0: $i] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s(s('0'))),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_88,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ 'E'(f(X5),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_64,c_62]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ 'E'(f(X4),'0')
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s('0')))
| ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
inference(renaming,[status(thm)],[c_88]) ).
tcf(c_91,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ 'E'(f(X4),'0')
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s('0'))) ),
inference(global_subsumption_just,[status(thm)],[c_89,c_63,c_77,c_89]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 'E'(f(X2),'0')
| ~ 'E'(f(X1),s('0'))
| ~ 'E'(f(X0),s(s('0'))) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_94,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_64,c_66]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
| ~ 'E'(f(X2),s(s('0')))
| ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
inference(renaming,[status(thm)],[c_94]) ).
tcf(c_97,plain,
! [X2: $i,X3: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
| ~ 'E'(f(X2),s(s('0'))) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_63,c_77,c_95]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s('0'))
| ~ 'E'(f(X0),s(s('0'))) ),
inference(renaming,[status(thm)],[c_97]) ).
tcf(c_100,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_64,c_65]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),'0')
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s('0')))
| ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0'))))) ),
inference(renaming,[status(thm)],[c_100]) ).
tcf(c_103,plain,
! [X2: $i,X3: $i,X4: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),'0')
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X2),s(s('0'))) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_63,c_77,c_101]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X2)),'0')
| ~ 'E'(f(X1),s('0'))
| ~ 'E'(f(X0),s(s('0'))) ),
inference(renaming,[status(thm)],[c_103]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( ~ 'E'(f(X1),s('0'))
| ~ 'E'(f(X0),s(s('0'))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_104,c_92]) ).
tcf(c_130,plain,
! [X0: $i] : ~ 'E'(f(X0),s(s('0'))),
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_124]) ).
tcf(c_134,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO633-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n001.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Fri Sep 25 03:23:40 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 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
% 0.09/0.62
% 0.09/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62
% 0.09/0.62 % Detected problem language: tptp
% 0.13/0.63 % Proving...
% 1.16/1.48 % SZS status Started for theBenchmark.p
% 1.16/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.48
% 1.16/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/1.48
% 1.16/1.48 % ------ iProver source info
% 1.16/1.48
% 1.16/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/1.48 % git: non_committed_changes: false
% 1.16/1.48
% 1.16/1.48 % ------ Parsing...% successful
% 1.16/1.48
% 1.16/1.48
% 1.16/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.16/1.48
% 1.16/1.48 % ------ Preprocessing...%
% 1.16/1.48
% 1.16/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.48
% 1.16/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.48
% 1.16/1.48
%------------------------------------------------------------------------------