TSTP Solution File: SEU264+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Fri May 3 03:05:16 EDT 2024
% Result : Theorem 2.22s 1.16s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 48 ~; 38 |; 14 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 103 ( 5 sgn 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f16,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f16]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f37,plain,
( ? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) )
=> ( ~ relation_of2_as_subset(sK6,sK5,sK4)
& subset(sK3,sK4)
& relation_of2_as_subset(sK6,sK5,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ~ relation_of2_as_subset(sK6,sK5,sK4)
& subset(sK3,sK4)
& relation_of2_as_subset(sK6,sK5,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f27,f37]) ).
fof(f44,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X2,X0,X1] :
( subset(relation_rng(X2),X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
relation_of2_as_subset(sK6,sK5,sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f51,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
~ relation_of2_as_subset(sK6,sK5,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_53,plain,
( ~ relation_of2(X0,X1,X2)
| relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_54,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_rng(X0),X2) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_58,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ subset(relation_rng(X0),X3)
| relation_of2_as_subset(X0,X1,X3) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_59,negated_conjecture,
~ relation_of2_as_subset(sK6,sK5,sK4),
inference(cnf_transformation,[],[f52]) ).
cnf(c_60,negated_conjecture,
subset(sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
cnf(c_61,negated_conjecture,
relation_of2_as_subset(sK6,sK5,sK3),
inference(cnf_transformation,[],[f50]) ).
cnf(c_62,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_75,plain,
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_76,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_75]) ).
cnf(c_77,plain,
( ~ relation_of2(X0,X1,X2)
| relation_of2_as_subset(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_85,plain,
( ~ relation_of2(X0,X1,X2)
| subset(relation_rng(X0),X2) ),
inference(prop_impl_just,[status(thm)],[c_56,c_53]) ).
cnf(c_121,plain,
( ~ relation_of2(X0,X1,X2)
| ~ subset(relation_rng(X0),X3)
| relation_of2_as_subset(X0,X1,X3) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_77]) ).
cnf(c_217,plain,
relation_of2(sK6,sK5,sK3),
inference(resolution,[status(thm)],[c_76,c_61]) ).
cnf(c_221,plain,
( ~ relation_of2(sK6,sK5,X0)
| ~ subset(relation_rng(sK6),sK4) ),
inference(resolution,[status(thm)],[c_121,c_59]) ).
cnf(c_222,plain,
( ~ relation_of2(sK6,sK5,sK3)
| ~ subset(relation_rng(sK6),sK4) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_276,plain,
( ~ relation_of2(sK6,sK5,sK3)
| subset(relation_rng(sK6),sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_278,plain,
( ~ subset(relation_rng(sK6),X0)
| ~ subset(X0,sK4)
| subset(relation_rng(sK6),sK4) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_279,plain,
( ~ subset(relation_rng(sK6),sK3)
| ~ subset(sK3,sK4)
| subset(relation_rng(sK6),sK4) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_280,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_279,c_276,c_222,c_217,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.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 : Thu May 2 18:09:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.22/1.16 % SZS status Started for theBenchmark.p
% 2.22/1.16 % SZS status Theorem for theBenchmark.p
% 2.22/1.16
% 2.22/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.22/1.16
% 2.22/1.16 ------ iProver source info
% 2.22/1.16
% 2.22/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.22/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.22/1.16 git: non_committed_changes: false
% 2.22/1.16
% 2.22/1.16 ------ Parsing...
% 2.22/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.22/1.16
% 2.22/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.22/1.16
% 2.22/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.22/1.16 ------ Proving...
% 2.22/1.16 ------ Problem Properties
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16 clauses 13
% 2.22/1.16 conjectures 1
% 2.22/1.16 EPR 5
% 2.22/1.16 Horn 13
% 2.22/1.16 unary 8
% 2.22/1.16 binary 3
% 2.22/1.16 lits 20
% 2.22/1.16 lits eq 0
% 2.22/1.16 fd_pure 0
% 2.22/1.16 fd_pseudo 0
% 2.22/1.16 fd_cond 0
% 2.22/1.16 fd_pseudo_cond 0
% 2.22/1.16 AC symbols 0
% 2.22/1.16
% 2.22/1.16 ------ Schedule dynamic 5 is on
% 2.22/1.16
% 2.22/1.16 ------ no equalities: superposition off
% 2.22/1.16
% 2.22/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16 ------
% 2.22/1.16 Current options:
% 2.22/1.16 ------
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16 ------ Proving...
% 2.22/1.16
% 2.22/1.16
% 2.22/1.16 % SZS status Theorem for theBenchmark.p
% 2.22/1.16
% 2.22/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.22/1.16
% 2.22/1.16
%------------------------------------------------------------------------------