TSTP Solution File: SYN969+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN969+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:14:59 EDT 2023
% Result : Theorem 0.69s 1.16s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 74 ( 27 ~; 18 |; 20 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn; 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( r(X0)
& ! [X1] :
( p(X1)
=> q(X1) ) )
=> ( ! [X2] :
( r(X2)
=> p(X2) )
=> q(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( r(X0)
& ! [X1] :
( p(X1)
=> q(X1) ) )
=> ( ! [X2] :
( r(X2)
=> p(X2) )
=> q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
? [X0] :
( ~ q(X0)
& ! [X2] :
( p(X2)
| ~ r(X2) )
& r(X0)
& ! [X1] :
( q(X1)
| ~ p(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
( ~ q(X0)
& ! [X2] :
( p(X2)
| ~ r(X2) )
& r(X0)
& ! [X1] :
( q(X1)
| ~ p(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ~ q(X0)
& ! [X1] :
( p(X1)
| ~ r(X1) )
& r(X0)
& ! [X2] :
( q(X2)
| ~ p(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ? [X0] :
( ~ q(X0)
& ! [X1] :
( p(X1)
| ~ r(X1) )
& r(X0)
& ! [X2] :
( q(X2)
| ~ p(X2) ) )
=> ( ~ q(sK0)
& ! [X1] :
( p(X1)
| ~ r(X1) )
& r(sK0)
& ! [X2] :
( q(X2)
| ~ p(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ~ q(sK0)
& ! [X1] :
( p(X1)
| ~ r(X1) )
& r(sK0)
& ! [X2] :
( q(X2)
| ~ p(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f8,plain,
! [X2] :
( q(X2)
| ~ p(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
r(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X1] :
( p(X1)
| ~ r(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
~ q(sK0),
inference(cnf_transformation,[],[f7]) ).
cnf(c_49,negated_conjecture,
~ q(sK0),
inference(cnf_transformation,[],[f11]) ).
cnf(c_50,negated_conjecture,
( ~ r(X0)
| p(X0) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_51,negated_conjecture,
r(sK0),
inference(cnf_transformation,[],[f9]) ).
cnf(c_52,negated_conjecture,
( ~ p(X0)
| q(X0) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_53,plain,
( ~ p(sK0)
| q(sK0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_54,plain,
( ~ r(sK0)
| p(sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_55,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54,c_53,c_49,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN969+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 : Sat Aug 26 17:23:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.69/1.16 % SZS status Started for theBenchmark.p
% 0.69/1.16 % SZS status Theorem for theBenchmark.p
% 0.69/1.16
% 0.69/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.69/1.16
% 0.69/1.16 ------ iProver source info
% 0.69/1.16
% 0.69/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.69/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.69/1.16 git: non_committed_changes: false
% 0.69/1.16 git: last_make_outside_of_git: false
% 0.69/1.16
% 0.69/1.16 ------ Parsing...
% 0.69/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_horn
% 0.69/1.16
% 0.69/1.16
% 0.69/1.16 ------ Preprocessing...
% 0.69/1.16
% 0.69/1.16 % SZS status Theorem for theBenchmark.p
% 0.69/1.16
% 0.69/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.16
% 0.69/1.16
%------------------------------------------------------------------------------