TSTP Solution File: SYN732+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 03:09:38 EDT 2023
% Result : Theorem 0.67s 1.14s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 14 ~; 5 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 38 ( 2 sgn; 23 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( q(X5,X3)
| p(X3,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x3411) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( q(X5,X3)
| p(X3,X5) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
( ! [X3] :
( ! [X5] :
( ~ q(X5,X3)
& ~ p(X3,X5) )
& ? [X4] : p(X4,X3) )
& ! [X0] :
( ! [X2] : q(X2,X0)
| ? [X1] : ~ p(X1,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0] :
( ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) )
& ? [X2] : p(X2,X0) )
& ! [X3] :
( ! [X4] : q(X4,X3)
| ? [X5] : ~ p(X5,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ? [X2] : p(X2,X0)
=> p(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X3] :
( ? [X5] : ~ p(X5,X3)
=> ~ p(sK1(X3),X3) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ! [X0] :
( ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) )
& p(sK0(X0),X0) )
& ! [X3] :
( ! [X4] : q(X4,X3)
| ~ p(sK1(X3),X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).
fof(f9,plain,
! [X0] : p(sK0(X0),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0,X1] : ~ p(X0,X1),
inference(cnf_transformation,[],[f7]) ).
cnf(c_50,negated_conjecture,
~ p(X0,X1),
inference(cnf_transformation,[],[f10]) ).
cnf(c_51,negated_conjecture,
p(sK0(X0),X0),
inference(cnf_transformation,[],[f9]) ).
cnf(c_63,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n020.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 17:32:45 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.67/1.14 % SZS status Started for theBenchmark.p
% 0.67/1.14 % SZS status Theorem for theBenchmark.p
% 0.67/1.14
% 0.67/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.67/1.14
% 0.67/1.14 ------ iProver source info
% 0.67/1.14
% 0.67/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.67/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.67/1.14 git: non_committed_changes: false
% 0.67/1.14 git: last_make_outside_of_git: false
% 0.67/1.14
% 0.67/1.14 ------ Parsing...
% 0.67/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.67/1.14
% 0.67/1.14 ------ Preprocessing...
% 0.67/1.14
% 0.67/1.14 % SZS status Theorem for theBenchmark.p
% 0.67/1.14
% 0.67/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.14
% 0.67/1.14
%------------------------------------------------------------------------------