TSTP Solution File: SET653+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 15:08:56 EDT 2023
% Result : Theorem 3.04s 1.16s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 236 ( 90 ~; 74 |; 46 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 113 ( 5 sgn; 47 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f23,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_15) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
| ~ subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X0,X2)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
| ~ subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X0,X2)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f29]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f83,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(X0,X1)
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(sK9,X1)
& ilf_type(X3,relation_type(sK9,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK9,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(sK9,X1)
& ilf_type(X3,relation_type(sK9,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK10,X2))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK10,X2))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,X2)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ ilf_type(X3,relation_type(sK10,sK11))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,sK11)) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK10,sK11))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK9,sK11)) )
=> ( ~ ilf_type(sK12,relation_type(sK10,sK11))
& subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK9,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ~ ilf_type(sK12,relation_type(sK10,sK11))
& subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK9,sK11))
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f56,f86,f85,f84,f83]) ).
fof(f88,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f89,plain,
! [X2,X0,X1] :
( subset(domain_of(X2),X0)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X1,X2))
| ~ subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X0,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f30]) ).
fof(f127,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f131,plain,
ilf_type(sK12,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f87]) ).
fof(f132,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f133,plain,
~ ilf_type(sK12,relation_type(sK10,sK11)),
inference(cnf_transformation,[],[f87]) ).
cnf(c_49,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_51,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(domain_of(X0),X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_52,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(domain_of(X0),X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ilf_type(X0,relation_type(X3,X2)) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_88,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f127]) ).
cnf(c_89,negated_conjecture,
~ ilf_type(sK12,relation_type(sK10,sK11)),
inference(cnf_transformation,[],[f133]) ).
cnf(c_90,negated_conjecture,
subset(sK9,sK10),
inference(cnf_transformation,[],[f132]) ).
cnf(c_91,negated_conjecture,
ilf_type(sK12,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_216,plain,
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_88,c_49]) ).
cnf(c_217,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(renaming,[status(thm)],[c_216]) ).
cnf(c_224,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| subset(domain_of(X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_88]) ).
cnf(c_225,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(domain_of(X0),X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ilf_type(X0,relation_type(X3,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_88]) ).
cnf(c_229,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_217,c_88]) ).
cnf(c_329,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| subset(domain_of(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224,c_88]) ).
cnf(c_405,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229,c_88]) ).
cnf(c_434,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(domain_of(X0),X3)
| ilf_type(X0,relation_type(X3,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225,c_88,c_88]) ).
cnf(c_720,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| subset(domain_of(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_329]) ).
cnf(c_1956,plain,
( ~ subset(domain_of(sK12),X0)
| ilf_type(sK12,relation_type(X0,sK11)) ),
inference(superposition,[status(thm)],[c_91,c_434]) ).
cnf(c_1983,plain,
subset(domain_of(sK12),sK9),
inference(superposition,[status(thm)],[c_91,c_720]) ).
cnf(c_1993,plain,
( ~ subset(sK9,X0)
| subset(domain_of(sK12),X0) ),
inference(superposition,[status(thm)],[c_1983,c_405]) ).
cnf(c_2011,plain,
~ subset(domain_of(sK12),sK10),
inference(superposition,[status(thm)],[c_1956,c_89]) ).
cnf(c_2029,plain,
~ subset(sK9,sK10),
inference(superposition,[status(thm)],[c_1993,c_2011]) ).
cnf(c_2030,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2029,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.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 14:35:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 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
% 3.04/1.16 % SZS status Started for theBenchmark.p
% 3.04/1.16 % SZS status Theorem for theBenchmark.p
% 3.04/1.16
% 3.04/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.04/1.16
% 3.04/1.16 ------ iProver source info
% 3.04/1.16
% 3.04/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.04/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.04/1.16 git: non_committed_changes: false
% 3.04/1.16 git: last_make_outside_of_git: false
% 3.04/1.16
% 3.04/1.16 ------ Parsing...
% 3.04/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.04/1.16
% 3.04/1.16 ------ 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
% 3.04/1.16
% 3.04/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.04/1.16
% 3.04/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.04/1.16 ------ Proving...
% 3.04/1.16 ------ Problem Properties
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16 clauses 32
% 3.04/1.16 conjectures 3
% 3.04/1.16 EPR 7
% 3.04/1.16 Horn 26
% 3.04/1.16 unary 8
% 3.04/1.16 binary 18
% 3.04/1.16 lits 62
% 3.04/1.16 lits eq 2
% 3.04/1.16 fd_pure 0
% 3.04/1.16 fd_pseudo 0
% 3.04/1.16 fd_cond 0
% 3.04/1.16 fd_pseudo_cond 0
% 3.04/1.16 AC symbols 0
% 3.04/1.16
% 3.04/1.16 ------ Schedule dynamic 5 is on
% 3.04/1.16
% 3.04/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16 ------
% 3.04/1.16 Current options:
% 3.04/1.16 ------
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16 ------ Proving...
% 3.04/1.16
% 3.04/1.16
% 3.04/1.16 % SZS status Theorem for theBenchmark.p
% 3.04/1.16
% 3.04/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.04/1.16
% 3.04/1.16
%------------------------------------------------------------------------------