TSTP Solution File: SET676+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Thu Aug 31 15:09:04 EDT 2023
% Result : Theorem 2.23s 1.13s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 32 ~; 25 |; 5 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 1 sgn; 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_41) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f26]) ).
fof(f77,plain,
( ? [X0] :
( ~ ilf_type(cross_product(X0,X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) )
=> ( ~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11))
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11))
& ilf_type(sK11,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f46,f77]) ).
fof(f79,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f23]) ).
fof(f88,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f52]) ).
fof(f117,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f119,plain,
~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11)),
inference(cnf_transformation,[],[f78]) ).
cnf(c_49,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_57,plain,
( ~ ilf_type(X0,relation_type(X1,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,identity_relation_of_type(X1)) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_87,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f117]) ).
cnf(c_88,negated_conjecture,
~ ilf_type(cross_product(sK11,sK11),identity_relation_of_type(sK11)),
inference(cnf_transformation,[],[f119]) ).
cnf(c_175,plain,
( ~ ilf_type(X1,set_type)
| ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_87,c_49]) ).
cnf(c_176,plain,
( ~ ilf_type(X0,set_type)
| ilf_type(cross_product(X1,X0),relation_type(X1,X0)) ),
inference(renaming,[status(thm)],[c_175]) ).
cnf(c_177,plain,
ilf_type(cross_product(X1,X0),relation_type(X1,X0)),
inference(global_subsumption_just,[status(thm)],[c_176,c_87,c_176]) ).
cnf(c_178,plain,
ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(renaming,[status(thm)],[c_177]) ).
cnf(c_203,plain,
( ~ ilf_type(X0,relation_type(X1,X1))
| ~ ilf_type(X1,set_type)
| ilf_type(X0,identity_relation_of_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_87,c_57]) ).
cnf(c_246,plain,
( ~ ilf_type(X0,relation_type(X1,X1))
| ilf_type(X0,identity_relation_of_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_203,c_87]) ).
cnf(c_690,plain,
( ilf_type(X0,identity_relation_of_type(X1))
| ~ ilf_type(X0,relation_type(X1,X1)) ),
inference(prop_impl_just,[status(thm)],[c_246]) ).
cnf(c_691,plain,
( ~ ilf_type(X0,relation_type(X1,X1))
| ilf_type(X0,identity_relation_of_type(X1)) ),
inference(renaming,[status(thm)],[c_690]) ).
cnf(c_1874,plain,
ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)),
inference(superposition,[status(thm)],[c_178,c_691]) ).
cnf(c_1876,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_88,c_1874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 12:09:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.23/1.13 % SZS status Started for theBenchmark.p
% 2.23/1.13 % SZS status Theorem for theBenchmark.p
% 2.23/1.13
% 2.23/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.23/1.13
% 2.23/1.13 ------ iProver source info
% 2.23/1.13
% 2.23/1.13 git: date: 2023-05-31 18:12:56 +0000
% 2.23/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.23/1.13 git: non_committed_changes: false
% 2.23/1.13 git: last_make_outside_of_git: false
% 2.23/1.13
% 2.23/1.13 ------ Parsing...
% 2.23/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.23/1.13
% 2.23/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.23/1.13
% 2.23/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.23/1.13
% 2.23/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.23/1.13 ------ Proving...
% 2.23/1.13 ------ Problem Properties
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13 clauses 30
% 2.23/1.13 conjectures 1
% 2.23/1.13 EPR 3
% 2.23/1.13 Horn 25
% 2.23/1.13 unary 7
% 2.23/1.13 binary 19
% 2.23/1.13 lits 57
% 2.23/1.13 lits eq 3
% 2.23/1.13 fd_pure 0
% 2.23/1.13 fd_pseudo 0
% 2.23/1.13 fd_cond 0
% 2.23/1.13 fd_pseudo_cond 0
% 2.23/1.13 AC symbols 0
% 2.23/1.13
% 2.23/1.13 ------ Schedule dynamic 5 is on
% 2.23/1.13
% 2.23/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13 ------
% 2.23/1.13 Current options:
% 2.23/1.13 ------
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13 ------ Proving...
% 2.23/1.13
% 2.23/1.13
% 2.23/1.13 % SZS status Theorem for theBenchmark.p
% 2.23/1.13
% 2.23/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.23/1.13
% 2.23/1.13
%------------------------------------------------------------------------------