TSTP Solution File: SEU047+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 17:03:31 EDT 2023
% Result : Theorem 1.93s 1.16s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 81 ( 33 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 87 ( 34 ~; 25 |; 19 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn; 30 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_funct_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_relat_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t130_relat_1) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f61,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f62]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) )
=> ( ( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13))
| relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) )
& subset(sK11,sK12)
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13))
| relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) )
& subset(sK11,sK12)
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f59,f87]) ).
fof(f132,plain,
relation(sK13),
inference(cnf_transformation,[],[f88]) ).
fof(f134,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f88]) ).
fof(f135,plain,
( relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13))
| relation_rng_restriction(sK11,sK13) != relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f137,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_90,negated_conjecture,
( relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) != relation_rng_restriction(sK11,sK13)
| relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) != relation_rng_restriction(sK11,sK13) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_91,negated_conjecture,
subset(sK11,sK12),
inference(cnf_transformation,[],[f134]) ).
cnf(c_93,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f132]) ).
cnf(c_94,plain,
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) = relation_rng_restriction(X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_95,plain,
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) = relation_rng_restriction(X0,X2) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_1923,plain,
( ~ relation(X0)
| relation_rng_restriction(sK12,relation_rng_restriction(sK11,X0)) = relation_rng_restriction(sK11,X0) ),
inference(superposition,[status(thm)],[c_91,c_94]) ).
cnf(c_1946,plain,
( ~ relation(X0)
| relation_rng_restriction(sK11,relation_rng_restriction(sK12,X0)) = relation_rng_restriction(sK11,X0) ),
inference(superposition,[status(thm)],[c_91,c_95]) ).
cnf(c_1996,plain,
relation_rng_restriction(sK12,relation_rng_restriction(sK11,sK13)) = relation_rng_restriction(sK11,sK13),
inference(superposition,[status(thm)],[c_93,c_1923]) ).
cnf(c_1999,plain,
relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) != relation_rng_restriction(sK11,sK13),
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_1996]) ).
cnf(c_2012,plain,
relation_rng_restriction(sK11,relation_rng_restriction(sK12,sK13)) = relation_rng_restriction(sK11,sK13),
inference(superposition,[status(thm)],[c_93,c_1946]) ).
cnf(c_2013,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2012,c_1999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 21:52:21 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.93/1.16 % SZS status Started for theBenchmark.p
% 1.93/1.16 % SZS status Theorem for theBenchmark.p
% 1.93/1.16
% 1.93/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.93/1.16
% 1.93/1.16 ------ iProver source info
% 1.93/1.16
% 1.93/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.93/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.93/1.16 git: non_committed_changes: false
% 1.93/1.16 git: last_make_outside_of_git: false
% 1.93/1.16
% 1.93/1.16 ------ Parsing...
% 1.93/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.93/1.16
% 1.93/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 1.93/1.16
% 1.93/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.93/1.16
% 1.93/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.93/1.16 ------ Proving...
% 1.93/1.16 ------ Problem Properties
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16 clauses 37
% 1.93/1.16 conjectures 3
% 1.93/1.16 EPR 25
% 1.93/1.16 Horn 35
% 1.93/1.16 unary 20
% 1.93/1.16 binary 11
% 1.93/1.16 lits 60
% 1.93/1.16 lits eq 6
% 1.93/1.16 fd_pure 0
% 1.93/1.16 fd_pseudo 0
% 1.93/1.16 fd_cond 1
% 1.93/1.16 fd_pseudo_cond 1
% 1.93/1.16 AC symbols 0
% 1.93/1.16
% 1.93/1.16 ------ Schedule dynamic 5 is on
% 1.93/1.16
% 1.93/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16 ------
% 1.93/1.16 Current options:
% 1.93/1.16 ------
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16 ------ Proving...
% 1.93/1.16
% 1.93/1.16
% 1.93/1.16 % SZS status Theorem for theBenchmark.p
% 1.93/1.16
% 1.93/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.16
% 1.93/1.16
%------------------------------------------------------------------------------