TSTP Solution File: SYN721+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN721+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 03:09:34 EDT 2023
% Result : Theorem 0.83s 1.16s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 65 ( 23 ~; 15 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 52 ( 6 sgn; 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2,X3] :
( q(X2,X3)
=> ! [X4] : r(X4,X3) )
& ! [X0] :
( ? [X1] : r(X0,X1)
=> q(X0,X0) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0,X1] :
( q(X0,X1)
=> ! [X2] : r(X2,X1) )
& ! [X3] :
( ? [X4] : r(X3,X4)
=> q(X3,X3) )
& r(a,b) )
=> ? [X5] :
( q(X5,a)
& r(b,X5) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) )
& ! [X0,X1] :
( ! [X2] : r(X2,X1)
| ~ q(X0,X1) )
& ! [X3] :
( q(X3,X3)
| ! [X4] : ~ r(X3,X4) )
& r(a,b) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X5] :
( ~ q(X5,a)
| ~ r(b,X5) )
& ! [X0,X1] :
( ! [X2] : r(X2,X1)
| ~ q(X0,X1) )
& ! [X3] :
( q(X3,X3)
| ! [X4] : ~ r(X3,X4) )
& r(a,b) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) )
& ! [X1,X2] :
( ! [X3] : r(X3,X2)
| ~ q(X1,X2) )
& ! [X4] :
( q(X4,X4)
| ! [X5] : ~ r(X4,X5) )
& r(a,b) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
r(a,b),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X4,X5] :
( q(X4,X4)
| ~ r(X4,X5) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X2,X3,X1] :
( r(X3,X2)
| ~ q(X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,negated_conjecture,
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_50,negated_conjecture,
( ~ q(X0,X1)
| r(X2,X1) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_51,negated_conjecture,
( ~ r(X0,X1)
| q(X0,X0) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_52,negated_conjecture,
r(a,b),
inference(cnf_transformation,[],[f7]) ).
cnf(c_56,plain,
q(a,a),
inference(resolution,[status(thm)],[c_51,c_52]) ).
cnf(c_57,plain,
~ r(b,a),
inference(resolution,[status(thm)],[c_56,c_49]) ).
cnf(c_58,plain,
r(X0,a),
inference(resolution,[status(thm)],[c_56,c_50]) ).
cnf(c_60,plain,
q(X0,X0),
inference(resolution,[status(thm)],[c_58,c_51]) ).
cnf(c_62,plain,
r(X0,X1),
inference(resolution,[status(thm)],[c_60,c_50]) ).
cnf(c_64,plain,
$false,
inference(resolution,[status(thm)],[c_57,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN721+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.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 18:56:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.83/1.16 % SZS status Started for theBenchmark.p
% 0.83/1.16 % SZS status Theorem for theBenchmark.p
% 0.83/1.16
% 0.83/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.83/1.16
% 0.83/1.16 ------ iProver source info
% 0.83/1.16
% 0.83/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.83/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.83/1.16 git: non_committed_changes: false
% 0.83/1.16 git: last_make_outside_of_git: false
% 0.83/1.16
% 0.83/1.16 ------ Parsing...
% 0.83/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_horn
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.83/1.16
% 0.83/1.16 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 0.83/1.16 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.83/1.16 ------ Proving...
% 0.83/1.16 ------ Problem Properties
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16 clauses 4
% 0.83/1.16 conjectures 4
% 0.83/1.16 EPR 4
% 0.83/1.16 Horn 4
% 0.83/1.16 unary 1
% 0.83/1.16 binary 3
% 0.83/1.16 lits 7
% 0.83/1.16 lits eq 0
% 0.83/1.16 fd_pure 0
% 0.83/1.16 fd_pseudo 0
% 0.83/1.16 fd_cond 0
% 0.83/1.16 fd_pseudo_cond 0
% 0.83/1.16 AC symbols 0
% 0.83/1.16
% 0.83/1.16 ------ Schedule EPR Horn non eq is on
% 0.83/1.16
% 0.83/1.16 ------ no equalities: superposition off
% 0.83/1.16
% 0.83/1.16 ------ Option_epr_horn Time Limit: Unbounded
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16 ------
% 0.83/1.16 Current options:
% 0.83/1.16 ------
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16 ------ Proving...
% 0.83/1.16
% 0.83/1.16
% 0.83/1.16 % SZS status Theorem for theBenchmark.p
% 0.83/1.16
% 0.83/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.83/1.16
% 0.83/1.16
%------------------------------------------------------------------------------