TSTP Solution File: NUN088+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 May 3 02:53:21 EDT 2024
% Result : Theorem 3.10s 1.22s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 72 ( 32 ~; 21 |; 16 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 1 sgn 18 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ~ r1(X46) )
| ! [X45] :
( ~ r1(X45)
| ~ id(X45,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidone) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ~ r1(X46) )
| ! [X45] :
( ~ r1(X45)
| ~ id(X45,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f37,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f38,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f68,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,X0) ) )
=> ( ? [X1] :
( r2(X1,sK20)
& r1(X1) )
& ? [X2] :
( r1(X2)
& id(X2,sK20) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X1] :
( r2(X1,sK20)
& r1(X1) )
=> ( r2(sK21,sK20)
& r1(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
( r1(X2)
& id(X2,sK20) )
=> ( r1(sK22)
& id(sK22,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( r2(sK21,sK20)
& r1(sK21)
& r1(sK22)
& id(sK22,sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f39,f70,f69,f68]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f130,plain,
id(sK22,sK20),
inference(cnf_transformation,[],[f71]) ).
fof(f131,plain,
r1(sK22),
inference(cnf_transformation,[],[f71]) ).
fof(f133,plain,
r2(sK21,sK20),
inference(cnf_transformation,[],[f71]) ).
cnf(c_90,plain,
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_91,negated_conjecture,
r2(sK21,sK20),
inference(cnf_transformation,[],[f133]) ).
cnf(c_93,negated_conjecture,
r1(sK22),
inference(cnf_transformation,[],[f131]) ).
cnf(c_94,negated_conjecture,
id(sK22,sK20),
inference(cnf_transformation,[],[f130]) ).
cnf(c_450,plain,
( ~ id(X0,sK20)
| ~ r2(sK21,sK20)
| ~ r1(X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_548,plain,
( ~ id(sK22,sK20)
| ~ r2(sK21,sK20)
| ~ r1(sK22) ),
inference(instantiation,[status(thm)],[c_450]) ).
cnf(c_549,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_548,c_91,c_94,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:10:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.10/1.22 % SZS status Started for theBenchmark.p
% 3.10/1.22 % SZS status Theorem for theBenchmark.p
% 3.10/1.22
% 3.10/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.10/1.22
% 3.10/1.22 ------ iProver source info
% 3.10/1.22
% 3.10/1.22 git: date: 2024-05-02 19:28:25 +0000
% 3.10/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.10/1.22 git: non_committed_changes: false
% 3.10/1.22
% 3.10/1.22 ------ Parsing...
% 3.10/1.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.10/1.22
% 3.10/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.10/1.22
% 3.10/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.10/1.22 ------ Proving...
% 3.10/1.22 ------ Problem Properties
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22 clauses 46
% 3.10/1.22 conjectures 4
% 3.10/1.22 EPR 19
% 3.10/1.22 Horn 42
% 3.10/1.22 unary 22
% 3.10/1.22 binary 13
% 3.10/1.22 lits 92
% 3.10/1.22 lits eq 0
% 3.10/1.22 fd_pure 0
% 3.10/1.22 fd_pseudo 0
% 3.10/1.22 fd_cond 0
% 3.10/1.22 fd_pseudo_cond 0
% 3.10/1.22 AC symbols 0
% 3.10/1.22
% 3.10/1.22 ------ Schedule dynamic 5 is on
% 3.10/1.22
% 3.10/1.22 ------ no equalities: superposition off
% 3.10/1.22
% 3.10/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22 ------
% 3.10/1.22 Current options:
% 3.10/1.22 ------
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22 ------ Proving...
% 3.10/1.22
% 3.10/1.22
% 3.10/1.22 % SZS status Theorem for theBenchmark.p
% 3.10/1.22
% 3.10/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.22
% 3.10/1.22
%------------------------------------------------------------------------------