TSTP Solution File: SYN376+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 03:06:46 EDT 2023
% Result : Theorem 1.50s 1.17s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 28 ~; 17 |; 15 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 39 ( 3 sgn; 18 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) )
=> ( ! [X0] : ~ big_p(X0)
| ! [X0] : big_p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2127) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) )
=> ( ! [X0] : ~ big_p(X0)
| ! [X0] : big_p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ( ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) )
=> ( ! [X2] : ~ big_p(X2)
| ! [X3] : big_p(X3) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X2] : big_p(X2)
& ? [X3] : ~ big_p(X3)
& ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X2] : big_p(X2)
& ? [X3] : ~ big_p(X3)
& ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ? [X2] : big_p(X2)
& ? [X3] : ~ big_p(X3)
& ? [X0] :
! [X1] :
( ( big_p(X1)
| ~ big_p(X0) )
& ( big_p(X0)
| ~ big_p(X1) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f7,plain,
( ? [X0] : big_p(X0)
& ? [X1] : ~ big_p(X1)
& ? [X2] :
! [X3] :
( ( big_p(X3)
| ~ big_p(X2) )
& ( big_p(X2)
| ~ big_p(X3) ) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
( ? [X0] : big_p(X0)
=> big_p(sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X1] : ~ big_p(X1)
=> ~ big_p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X2] :
! [X3] :
( ( big_p(X3)
| ~ big_p(X2) )
& ( big_p(X2)
| ~ big_p(X3) ) )
=> ! [X3] :
( ( big_p(X3)
| ~ big_p(sK2) )
& ( big_p(sK2)
| ~ big_p(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( big_p(sK0)
& ~ big_p(sK1)
& ! [X3] :
( ( big_p(X3)
| ~ big_p(sK2) )
& ( big_p(sK2)
| ~ big_p(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
fof(f12,plain,
! [X3] :
( big_p(sK2)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f13,plain,
! [X3] :
( big_p(X3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f14,plain,
~ big_p(sK1),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
big_p(sK0),
inference(cnf_transformation,[],[f11]) ).
cnf(c_49,negated_conjecture,
big_p(sK0),
inference(cnf_transformation,[],[f15]) ).
cnf(c_50,negated_conjecture,
~ big_p(sK1),
inference(cnf_transformation,[],[f14]) ).
cnf(c_51,negated_conjecture,
( ~ big_p(sK2)
| big_p(X0) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_52,negated_conjecture,
( ~ big_p(X0)
| big_p(sK2) ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_65,plain,
big_p(sK2),
inference(resolution,[status(thm)],[c_52,c_49]) ).
cnf(c_66,plain,
big_p(X0),
inference(resolution,[status(thm)],[c_65,c_51]) ).
cnf(c_68,plain,
$false,
inference(resolution,[status(thm)],[c_66,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 18:52:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.50/1.17 % SZS status Started for theBenchmark.p
% 1.50/1.17 % SZS status Theorem for theBenchmark.p
% 1.50/1.17
% 1.50/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.50/1.17
% 1.50/1.17 ------ iProver source info
% 1.50/1.17
% 1.50/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.50/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.50/1.17 git: non_committed_changes: false
% 1.50/1.17 git: last_make_outside_of_git: false
% 1.50/1.17
% 1.50/1.17 ------ Parsing...
% 1.50/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_horn
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.50/1.17
% 1.50/1.17 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.50/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.50/1.17 ------ Proving...
% 1.50/1.17 ------ Problem Properties
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17 clauses 4
% 1.50/1.17 conjectures 4
% 1.50/1.17 EPR 4
% 1.50/1.17 Horn 4
% 1.50/1.17 unary 2
% 1.50/1.17 binary 2
% 1.50/1.17 lits 6
% 1.50/1.17 lits eq 0
% 1.50/1.17 fd_pure 0
% 1.50/1.17 fd_pseudo 0
% 1.50/1.17 fd_cond 0
% 1.50/1.17 fd_pseudo_cond 0
% 1.50/1.17 AC symbols 0
% 1.50/1.17
% 1.50/1.17 ------ Schedule EPR Horn non eq is on
% 1.50/1.17
% 1.50/1.17 ------ no equalities: superposition off
% 1.50/1.17
% 1.50/1.17 ------ Option_epr_horn Time Limit: Unbounded
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17 ------
% 1.50/1.17 Current options:
% 1.50/1.17 ------
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17 ------ Proving...
% 1.50/1.17
% 1.50/1.17
% 1.50/1.17 % SZS status Theorem for theBenchmark.p
% 1.50/1.17
% 1.50/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.17
% 1.50/1.17
%------------------------------------------------------------------------------