%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN002-1.007.008 : 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 : 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 03:38:50 PM UTC 2026
% Result : Unsatisfiable 1.83s 1.26s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',positive) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(f(f(f(X0)))))))) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(f(X0))))))))) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(f(X0))))))))) ),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(f(f(f(X0)))))))) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_112,plain,
! [X0: $i] :
( p(f(X0))
| ~ p(X0) ),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_120,plain,
! [X0: $i] :
( p(f(X0))
| ~ p(X0) ),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_146,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(X0)))))))) ),
inference(superposition,[status(thm)],[c_112,c_63]) ).
tcf(c_154,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(X0)))))))) ),
inference(superposition,[status(thm)],[c_120,c_63]) ).
tcf(c_214,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(X0))))))) ),
inference(superposition,[status(thm)],[c_112,c_146]) ).
tcf(c_223,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(X0))))))) ),
inference(superposition,[status(thm)],[c_120,c_154]) ).
tcf(c_323,plain,
! [X0: $i] :
( p(X0)
| ~ p(f(X0)) ),
inference(superposition,[status(thm)],[c_64,c_214]) ).
tcf(c_324,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(X0)))))) ),
inference(superposition,[status(thm)],[c_112,c_214]) ).
tcf(c_335,plain,
! [X0: $i] :
( p(X0)
| ~ p(f(X0)) ),
inference(superposition,[status(thm)],[c_64,c_223]) ).
tcf(c_336,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(f(f(f(f(f(X0)))))) ),
inference(superposition,[status(thm)],[c_120,c_223]) ).
tcf(c_738,plain,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(f(f(X0))))))) ),
inference(superposition,[status(thm)],[c_64,c_323]) ).
tcf(c_747,plain,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(f(f(X0))))))) ),
inference(superposition,[status(thm)],[c_64,c_335]) ).
tcf(c_2391,plain,
! [X0: $i] :
( p(X0)
| ~ p(f(f(X0))) ),
inference(superposition,[status(thm)],[c_64,c_324]) ).
tcf(c_2405,plain,
! [X0: $i] :
( p(X0)
| ~ p(f(f(X0))) ),
inference(superposition,[status(thm)],[c_64,c_336]) ).
tcf(c_3203,plain,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(X0))))) ),
inference(superposition,[status(thm)],[c_738,c_2391]) ).
tcf(c_3214,plain,
! [X0: $i] :
( p(X0)
| p(f(f(f(f(X0))))) ),
inference(superposition,[status(thm)],[c_747,c_2405]) ).
tcf(c_4135,plain,
! [X0: $i] :
( p(f(f(f(X0))))
| ~ p(X0) ),
inference(superposition,[status(thm)],[c_3203,c_146]) ).
tcf(c_4137,plain,
! [X0: $i] :
( p(X0)
| p(f(f(f(X0)))) ),
inference(superposition,[status(thm)],[c_3203,c_323]) ).
tcf(c_4147,plain,
! [X0: $i] : p(f(f(f(X0)))),
inference(backward_subsumption_resolution,[status(thm)],[c_4137,c_4135]) ).
tcf(c_4148,plain,
! [X0: $i] : ~ p(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_324,c_4147]) ).
tcf(c_4154,plain,
! [X0: $i] : p(f(f(f(f(X0))))),
inference(global_subsumption_just,[status(thm)],[c_3214,c_3203,c_4148]) ).
tcf(c_4160,plain,
! [X0: $i] : ~ p(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_4154]) ).
tcf(c_4161,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4154,c_4160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 23:49:47 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.83/1.26 % SZS status Started for theBenchmark.p
% 1.83/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.26
% 1.83/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.83/1.26
% 1.83/1.26 % ------ iProver source info
% 1.83/1.26
% 1.83/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.83/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.83/1.26 % git: non_committed_changes: false
% 1.83/1.26
% 1.83/1.26 % ------ Parsing...% successful
% 1.83/1.26
% 1.83/1.26
% 1.83/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.83/1.26
% 1.83/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.83/1.26
% 1.83/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.83/1.26 % ------ Proving...
% 1.83/1.26 % ------ Problem Properties
% 1.83/1.26
% 1.83/1.26 %
% 1.83/1.26 % clauses 2
% 1.83/1.26 % conjectures 2
% 1.83/1.26 % EPR 0
% 1.83/1.26 % Horn 1
% 1.83/1.26 % unary 0
% 1.83/1.26 % binary 2
% 1.83/1.26 % lits 4
% 1.83/1.26 % lits eq 0
% 1.83/1.26 % fd_pure 0
% 1.83/1.26 % fd_pseudo 0
% 1.83/1.26 % fd_cond 0
% 1.83/1.26 % fd_pseudo_cond 0
% 1.83/1.26 % AC symbols 0
% 1.83/1.26
% 1.83/1.26 % ------ Schedule dynamic 5 is on
% 1.83/1.26
% 1.83/1.26 % ------ no equalities: superposition off
% 1.83/1.26
% 1.83/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.83/1.26
% 1.83/1.26
% 1.83/1.26 % ------
% 1.83/1.26 % Current options:
% 1.83/1.26 % ------
% 1.83/1.26
% 1.83/1.26
% 1.83/1.26 %
% 1.83/1.26
% 1.83/1.26 % ------ Proving...
% 1.83/1.26 %
% 1.83/1.26
% 1.83/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.26
% 1.83/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.83/1.27
% 1.83/1.27
%------------------------------------------------------------------------------