TSTP Solution File: SYN371+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN371+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 03:06:44 EDT 2023
% Result : Theorem 0.78s 1.17s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 13 ~; 5 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 31 ( 0 sgn; 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] : big_r(X0,X0)
=> ! [X1] : big_r(X1,X1) )
=> ? [X2] :
! [X3] :
( big_r(X2,X2)
=> big_r(X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2122) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] : big_r(X0,X0)
=> ! [X1] : big_r(X1,X1) )
=> ? [X2] :
! [X3] :
( big_r(X2,X2)
=> big_r(X3,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
( ! [X2] :
? [X3] :
( ~ big_r(X3,X3)
& big_r(X2,X2) )
& ( ! [X1] : big_r(X1,X1)
| ! [X0] : ~ big_r(X0,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0] :
? [X1] :
( ~ big_r(X1,X1)
& big_r(X0,X0) )
& ( ! [X2] : big_r(X2,X2)
| ! [X3] : ~ big_r(X3,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ? [X1] :
( ~ big_r(X1,X1)
& big_r(X0,X0) )
=> ( ~ big_r(sK0(X0),sK0(X0))
& big_r(X0,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
( ~ big_r(sK0(X0),sK0(X0))
& big_r(X0,X0) )
& ( ! [X2] : big_r(X2,X2)
| ! [X3] : ~ big_r(X3,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f7,plain,
! [X2,X3] :
( big_r(X2,X2)
| ~ big_r(X3,X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] : big_r(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X0] : ~ big_r(sK0(X0),sK0(X0)),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,negated_conjecture,
~ big_r(sK0(X0),sK0(X0)),
inference(cnf_transformation,[],[f9]) ).
cnf(c_50,negated_conjecture,
big_r(X0,X0),
inference(cnf_transformation,[],[f8]) ).
cnf(c_51,negated_conjecture,
( ~ big_r(X0,X0)
| big_r(X1,X1) ),
inference(cnf_transformation,[],[f7]) ).
cnf(c_54,plain,
big_r(X1,X1),
inference(global_subsumption_just,[status(thm)],[c_51,c_50,c_51]) ).
cnf(c_55,negated_conjecture,
big_r(X0,X0),
inference(renaming,[status(thm)],[c_54]) ).
cnf(c_58,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN371+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 18:46:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.78/1.17 % SZS status Started for theBenchmark.p
% 0.78/1.17 % SZS status Theorem for theBenchmark.p
% 0.78/1.17
% 0.78/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.78/1.17
% 0.78/1.17 ------ iProver source info
% 0.78/1.17
% 0.78/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.78/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.78/1.17 git: non_committed_changes: false
% 0.78/1.17 git: last_make_outside_of_git: false
% 0.78/1.17
% 0.78/1.17 ------ Parsing...
% 0.78/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.78/1.17
% 0.78/1.17 ------ Preprocessing...
% 0.78/1.17
% 0.78/1.17 % SZS status Theorem for theBenchmark.p
% 0.78/1.17
% 0.78/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.17
% 0.78/1.17
%------------------------------------------------------------------------------