TSTP Solution File: SET658+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET658+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 14:35:17 EDT 2024
% Result : Theorem 3.47s 0.99s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
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(f47,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
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(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(f131,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f47]) ).
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_73,plain,
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f131]) ).
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_145,plain,
subset(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_73,c_98,c_73]) ).
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_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_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_1941,plain,
domain_of(sK12) = sP0_iProver_def,
definition ).
cnf(c_1942,plain,
range_of(sK12) = sP1_iProver_def,
definition ).
cnf(c_1943,plain,
relation_type(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_1944,negated_conjecture,
ilf_type(sK12,binary_relation_type),
inference(demodulation,[status(thm)],[c_100]) ).
cnf(c_1945,negated_conjecture,
~ ilf_type(sK12,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_99,c_1942,c_1941,c_1943]) ).
cnf(c_2795,plain,
relation_like(sK12),
inference(superposition,[status(thm)],[c_1944,c_1157]) ).
cnf(c_5212,plain,
( ~ subset(domain_of(sK12),X0)
| ~ relation_like(sK12)
| ilf_type(sK12,relation_type(X0,sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_1942,c_403]) ).
cnf(c_5216,plain,
( ~ subset(sP0_iProver_def,X0)
| ~ relation_like(sK12)
| ilf_type(sK12,relation_type(X0,sP1_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_5212,c_1941]) ).
cnf(c_5217,plain,
( ~ subset(sP0_iProver_def,X0)
| ilf_type(sK12,relation_type(X0,sP1_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5216,c_2795]) ).
cnf(c_5253,plain,
( ~ subset(sP0_iProver_def,sP0_iProver_def)
| ilf_type(sK12,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_1943,c_5217]) ).
cnf(c_5257,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5253,c_1945,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET658+3 : TPTP v8.2.0. Released v2.2.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Sun Jun 23 11:57:54 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.47/0.99 % SZS status Started for theBenchmark.p
% 3.47/0.99 % SZS status Theorem for theBenchmark.p
% 3.47/0.99
% 3.47/0.99 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.47/0.99
% 3.47/0.99 ------ iProver source info
% 3.47/0.99
% 3.47/0.99 git: date: 2024-06-12 09:56:46 +0000
% 3.47/0.99 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.47/0.99 git: non_committed_changes: false
% 3.47/0.99
% 3.47/0.99 ------ Parsing...
% 3.47/0.99 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.47/0.99
% 3.47/0.99 ------ 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
% 3.47/0.99
% 3.47/0.99 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.47/0.99
% 3.47/0.99 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.47/0.99 ------ Proving...
% 3.47/0.99 ------ Problem Properties
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99 clauses 42
% 3.47/0.99 conjectures 2
% 3.47/0.99 EPR 10
% 3.47/0.99 Horn 36
% 3.47/0.99 unary 11
% 3.47/0.99 binary 22
% 3.47/0.99 lits 82
% 3.47/0.99 lits eq 7
% 3.47/0.99 fd_pure 0
% 3.47/0.99 fd_pseudo 0
% 3.47/0.99 fd_cond 0
% 3.47/0.99 fd_pseudo_cond 0
% 3.47/0.99 AC symbols 0
% 3.47/0.99
% 3.47/0.99 ------ Schedule dynamic 5 is on
% 3.47/0.99
% 3.47/0.99 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99 ------
% 3.47/0.99 Current options:
% 3.47/0.99 ------
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99 ------ Proving...
% 3.47/0.99
% 3.47/0.99
% 3.47/0.99 % SZS status Theorem for theBenchmark.p
% 3.47/0.99
% 3.47/0.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/0.99
% 3.47/0.99
%------------------------------------------------------------------------------