TSTP Solution File: SET643+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 15:08:52 EDT 2023
% Result : Theorem 0.90s 1.18s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 36 ~; 27 |; 10 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 1 sgn; 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f20,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',prove_relset_1_5) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f23]) ).
fof(f34,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f48,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,[],[f21]) ).
fof(f80,plain,
( ? [X0] :
( ? [X1] :
( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ~ ilf_type(cross_product(sK11,X1),relation_type(sK11,X1))
& ilf_type(X1,set_type) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X1] :
( ~ ilf_type(cross_product(sK11,X1),relation_type(sK11,X1))
& ilf_type(X1,set_type) )
=> ( ~ ilf_type(cross_product(sK11,sK12),relation_type(sK11,sK12))
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ~ ilf_type(cross_product(sK11,sK12),relation_type(sK11,sK12))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f48,f81,f80]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f24]) ).
fof(f102,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f34]) ).
fof(f123,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f126,plain,
~ ilf_type(cross_product(sK11,sK12),relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f82]) ).
cnf(c_49,plain,
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_68,plain,
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_89,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f123]) ).
cnf(c_90,negated_conjecture,
~ ilf_type(cross_product(sK11,sK12),relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f126]) ).
cnf(c_129,plain,
subset(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_68,c_89,c_68]) ).
cnf(c_217,plain,
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_89,c_49]) ).
cnf(c_251,plain,
( ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_217,c_89]) ).
cnf(c_351,plain,
( ~ subset(X0,cross_product(X1,X2))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251,c_89]) ).
cnf(c_671,plain,
( cross_product(X0,X1) != X2
| X2 != X3
| ilf_type(X3,relation_type(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_351,c_129]) ).
cnf(c_672,plain,
ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(unflattening,[status(thm)],[c_671]) ).
cnf(c_690,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:02:38 EDT 2023
% 0.21/0.35 % 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
% 0.90/1.18 % SZS status Started for theBenchmark.p
% 0.90/1.18 % SZS status Theorem for theBenchmark.p
% 0.90/1.18
% 0.90/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.90/1.18
% 0.90/1.18 ------ iProver source info
% 0.90/1.18
% 0.90/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.90/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.90/1.18 git: non_committed_changes: false
% 0.90/1.18 git: last_make_outside_of_git: false
% 0.90/1.18
% 0.90/1.18 ------ Parsing...
% 0.90/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.90/1.18
% 0.90/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s
% 0.90/1.18
% 0.90/1.18 % SZS status Theorem for theBenchmark.p
% 0.90/1.18
% 0.90/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.18
% 0.90/1.18
%------------------------------------------------------------------------------