%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 03:39:09 PM UTC 2026
% Result : Unsatisfiable 1.53s 1.30s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 11 unt; 2 def)
% Number of atoms : 87 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 36 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
fof(f2,negated_conjecture,
! [X0] :
( ~ big_p(a)
| big_p(X0)
| big_p(f(f(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ big_p(a)
| ~ big_p(f(X0))
| big_p(f(f(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
fof(f4,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
fof(f5,negated_conjecture,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
fof(f6,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
fof(f7,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
tcf(c_56,negated_conjecture,
big_p(a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(f(f(X0)))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( big_p(f(f(X0)))
| ~ big_p(a)
| ~ big_p(f(X0)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,negated_conjecture,
( big_p(f(sk2))
| big_p(f(sk1))
| ~ big_p(sk2)
| ~ big_p(sk1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
( big_p(sk1)
| big_p(f(f(sk1)))
| ~ big_p(a) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_64,plain,
( big_p(f(f(sk1)))
| ~ big_p(a)
| ~ big_p(f(sk1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(f(f(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_56,c_57]) ).
tcf(c_68,negated_conjecture,
~ big_p(f(f(sk2))),
inference(global_subsumption_just,[status(thm)],[c_59,c_56,c_63,c_59,c_61,c_64]) ).
tcf(c_70,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_56,c_63,c_62,c_64,c_60]) ).
tcf(c_72,negated_conjecture,
~ big_p(f(f(sk2))),
inference(global_subsumption_just,[status(thm)],[c_61,c_68]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] :
( big_p(f(f(X0)))
| ~ big_p(f(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_56,c_58]) ).
tcf(c_77,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_70]) ).
tcf(c_109,definition,
iPr_def_10 = f(sk2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_110,definition,
iPr_def_11 = f(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_111,negated_conjecture,
! [X0: $i] :
( big_p(f(f(X0)))
| ~ big_p(f(X0)) ),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_112,negated_conjecture,
( big_p(iPr_def_10)
| ~ big_p(sk2) ),
inference(demodulation,[status(thm)],[c_77,c_109]) ).
tcf(c_113,negated_conjecture,
~ big_p(iPr_def_11),
inference(demodulation,[status(thm)],[c_72,c_110]) ).
tcf(c_114,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(f(f(X0))) ),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_207,plain,
( big_p(f(iPr_def_10))
| ~ big_p(f(sk2)) ),
inference(superposition,[status(thm)],[c_109,c_111]) ).
tcf(c_208,plain,
( big_p(sk2)
| big_p(f(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_109,c_114]) ).
tcf(c_209,plain,
( big_p(iPr_def_11)
| big_p(sk2) ),
inference(light_normalisation,[status(thm)],[c_208,c_110]) ).
tcf(c_210,plain,
big_p(sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_209,c_113]) ).
tcf(c_211,plain,
( big_p(iPr_def_11)
| ~ big_p(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_207,c_109,c_110]) ).
tcf(c_212,plain,
~ big_p(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_211,c_113]) ).
tcf(c_213,plain,
big_p(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_210]) ).
tcf(c_214,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_213,c_212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 00:11:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.53/1.30 % SZS status Started for theBenchmark.p
% 1.53/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.30
% 1.53/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.30
% 1.53/1.30 % ------ iProver source info
% 1.53/1.30
% 1.53/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.30 % git: non_committed_changes: false
% 1.53/1.30
% 1.53/1.30 % ------ Parsing...% successful
% 1.53/1.30
% 1.53/1.30
% 1.53/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.30
% 1.53/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.53/1.30
% 1.53/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.53/1.30
% 1.53/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.53/1.30 % ------ Proving...
% 1.53/1.30 % ------ Problem Properties
% 1.53/1.30
% 1.53/1.30 %
% 1.53/1.30 % clauses 6
% 1.53/1.30 % conjectures 4
% 1.53/1.30 % EPR 2
% 1.53/1.30 % Horn 5
% 1.53/1.30 % unary 3
% 1.53/1.30 % binary 3
% 1.53/1.30 % lits 9
% 1.53/1.30 % lits eq 2
% 1.53/1.30 % fd_pure 0
% 1.53/1.30 % fd_pseudo 0
% 1.53/1.30 % fd_cond 0
% 1.53/1.30 % fd_pseudo_cond 0
% 1.53/1.30 % AC symbols 0
% 1.53/1.30
% 1.53/1.30 % ------ Schedule dynamic 5 is on
% 1.53/1.30
% 1.53/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.53/1.30
% 1.53/1.30
% 1.53/1.30 % ------
% 1.53/1.30 % Current options:
% 1.53/1.30 % ------
% 1.53/1.30
% 1.53/1.30
% 1.53/1.30 %
% 1.53/1.30
% 1.53/1.30 % ------ Proving...
% 1.53/1.30 %
% 1.53/1.30
% 1.53/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.30
% 1.53/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.30
% 1.53/1.30
%------------------------------------------------------------------------------