TSTP Solution File: SET658+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 15:08:58 EDT 2023
% Result : Theorem 0.49s 1.18s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f159)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f29,conjecture,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(negated_conjecture,[],[f29]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f32]) ).
fof(f38,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f45]) ).
fof(f65,plain,
? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f74,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f74]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f46]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0)
& ilf_type(sK5(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0)
& ilf_type(sK5(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f84,f85]) ).
fof(f104,plain,
( ? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) )
=> ( ~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12)))
& ilf_type(sK12,binary_relation_type) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12)))
& ilf_type(sK12,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f65,f104]) ).
fof(f106,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f33]) ).
fof(f115,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f129,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK5(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f130,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK5(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f156,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f157,plain,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f105]) ).
fof(f158,plain,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f105]) ).
cnf(c_49,plain,
( ~ subset(domain_of(X0),X1)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,relation_type(X1,range_of(X0))) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_58,plain,
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_59,plain,
( ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_69,plain,
( ~ member(sK5(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_70,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK5(X1,X0),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_98,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f156]) ).
cnf(c_99,negated_conjecture,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f158]) ).
cnf(c_100,negated_conjecture,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f157]) ).
cnf(c_172,plain,
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_98,c_59]) ).
cnf(c_175,plain,
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_98,c_58]) ).
cnf(c_202,plain,
( ~ ilf_type(X1,set_type)
| member(sK5(X1,X0),X1)
| subset(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_98,c_70]) ).
cnf(c_203,plain,
( ~ ilf_type(X0,set_type)
| member(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_202]) ).
cnf(c_216,plain,
( ~ member(sK5(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_98,c_69]) ).
cnf(c_259,plain,
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_175]) ).
cnf(c_386,plain,
( ~ subset(domain_of(X0),X1)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X0)
| ilf_type(X0,relation_type(X1,range_of(X0))) ),
inference(bin_hyper_res,[status(thm)],[c_49,c_259]) ).
cnf(c_403,plain,
( ~ subset(domain_of(X0),X1)
| ~ relation_like(X0)
| ilf_type(X0,relation_type(X1,range_of(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_386,c_98]) ).
cnf(c_409,plain,
( ~ member(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_216,c_98]) ).
cnf(c_1156,plain,
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_172]) ).
cnf(c_1157,plain,
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(renaming,[status(thm)],[c_1156]) ).
cnf(c_1184,plain,
( ~ member(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_409]) ).
cnf(c_1188,plain,
( subset(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_98,c_203]) ).
cnf(c_1189,plain,
( member(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_1188]) ).
cnf(c_2783,plain,
relation_like(sK12),
inference(superposition,[status(thm)],[c_100,c_1157]) ).
cnf(c_3066,plain,
( ~ subset(domain_of(sK12),domain_of(sK12))
| ~ relation_like(sK12)
| ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))) ),
inference(instantiation,[status(thm)],[c_403]) ).
cnf(c_3270,plain,
( member(sK5(domain_of(sK12),domain_of(sK12)),domain_of(sK12))
| subset(domain_of(sK12),domain_of(sK12)) ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_3271,plain,
( ~ member(sK5(domain_of(sK12),domain_of(sK12)),domain_of(sK12))
| subset(domain_of(sK12),domain_of(sK12)) ),
inference(instantiation,[status(thm)],[c_1184]) ).
cnf(c_3272,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3270,c_3271,c_3066,c_2783,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 09:11:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.18 % SZS status Started for theBenchmark.p
% 0.49/1.18 % SZS status Theorem for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.18
% 0.49/1.18 ------ iProver source info
% 0.49/1.18
% 0.49/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.18 git: non_committed_changes: false
% 0.49/1.18 git: last_make_outside_of_git: false
% 0.49/1.18
% 0.49/1.18 ------ Parsing...
% 0.49/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.18
% 0.49/1.18 ------ 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
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.18
% 0.49/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.49/1.18 ------ Proving...
% 0.49/1.18 ------ Problem Properties
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 clauses 39
% 0.49/1.18 conjectures 2
% 0.49/1.18 EPR 9
% 0.49/1.18 Horn 33
% 0.49/1.18 unary 8
% 0.49/1.18 binary 22
% 0.49/1.18 lits 79
% 0.49/1.18 lits eq 4
% 0.49/1.18 fd_pure 0
% 0.49/1.18 fd_pseudo 0
% 0.49/1.18 fd_cond 0
% 0.49/1.18 fd_pseudo_cond 0
% 0.49/1.18 AC symbols 0
% 0.49/1.18
% 0.49/1.18 ------ Schedule dynamic 5 is on
% 0.49/1.18
% 0.49/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 ------
% 0.49/1.18 Current options:
% 0.49/1.18 ------
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 ------ Proving...
% 0.49/1.18
% 0.49/1.18
% 0.49/1.18 % SZS status Theorem for theBenchmark.p
% 0.49/1.18
% 0.49/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.54/1.19
% 2.54/1.19
%------------------------------------------------------------------------------