TSTP Solution File: SEU041+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU041+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 17:03:30 EDT 2023
% Result : Theorem 1.84s 1.15s
% Output : CNFRefutation 1.84s
% 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(f32,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
& relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_funct_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
& relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_relat_1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_relat_1) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1,X2] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f63]) ).
fof(f88,plain,
( ? [X0,X1,X2] :
( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1) )
& subset(X0,X1)
& function(X2)
& relation(X2) )
=> ( ( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11)
| relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) )
& subset(sK11,sK12)
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11)
| relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) )
& subset(sK11,sK12)
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f60,f88]) ).
fof(f137,plain,
relation(sK13),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f89]) ).
fof(f140,plain,
( relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11)
| relation_dom_restriction(sK13,sK11) != relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f142,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_94,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) != relation_dom_restriction(sK13,sK11)
| relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11) != relation_dom_restriction(sK13,sK11) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_95,negated_conjecture,
subset(sK11,sK12),
inference(cnf_transformation,[],[f139]) ).
cnf(c_97,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f137]) ).
cnf(c_98,plain,
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_dom_restriction(relation_dom_restriction(X2,X0),X1) = relation_dom_restriction(X2,X0) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_99,plain,
( ~ subset(X0,X1)
| ~ relation(X2)
| relation_dom_restriction(relation_dom_restriction(X2,X1),X0) = relation_dom_restriction(X2,X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_1952,plain,
( ~ relation(X0)
| relation_dom_restriction(relation_dom_restriction(X0,sK11),sK12) = relation_dom_restriction(X0,sK11) ),
inference(superposition,[status(thm)],[c_95,c_98]) ).
cnf(c_1975,plain,
( ~ relation(X0)
| relation_dom_restriction(relation_dom_restriction(X0,sK12),sK11) = relation_dom_restriction(X0,sK11) ),
inference(superposition,[status(thm)],[c_95,c_99]) ).
cnf(c_2025,plain,
relation_dom_restriction(relation_dom_restriction(sK13,sK11),sK12) = relation_dom_restriction(sK13,sK11),
inference(superposition,[status(thm)],[c_97,c_1952]) ).
cnf(c_2028,plain,
relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11) != relation_dom_restriction(sK13,sK11),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_2025]) ).
cnf(c_2041,plain,
relation_dom_restriction(relation_dom_restriction(sK13,sK12),sK11) = relation_dom_restriction(sK13,sK11),
inference(superposition,[status(thm)],[c_97,c_1975]) ).
cnf(c_2042,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2041,c_2028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU041+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.35 % Computer : n028.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 24 00:47:49 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.84/1.15 % SZS status Started for theBenchmark.p
% 1.84/1.15 % SZS status Theorem for theBenchmark.p
% 1.84/1.15
% 1.84/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.84/1.15
% 1.84/1.15 ------ iProver source info
% 1.84/1.15
% 1.84/1.15 git: date: 2023-05-31 18:12:56 +0000
% 1.84/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.84/1.15 git: non_committed_changes: false
% 1.84/1.15 git: last_make_outside_of_git: false
% 1.84/1.15
% 1.84/1.15 ------ Parsing...
% 1.84/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.84/1.15
% 1.84/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 12 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 1.84/1.15
% 1.84/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.84/1.15
% 1.84/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.84/1.15 ------ Proving...
% 1.84/1.15 ------ Problem Properties
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15 clauses 37
% 1.84/1.15 conjectures 3
% 1.84/1.15 EPR 25
% 1.84/1.15 Horn 35
% 1.84/1.15 unary 20
% 1.84/1.15 binary 11
% 1.84/1.15 lits 60
% 1.84/1.15 lits eq 6
% 1.84/1.15 fd_pure 0
% 1.84/1.15 fd_pseudo 0
% 1.84/1.15 fd_cond 1
% 1.84/1.15 fd_pseudo_cond 1
% 1.84/1.15 AC symbols 0
% 1.84/1.15
% 1.84/1.15 ------ Schedule dynamic 5 is on
% 1.84/1.15
% 1.84/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15 ------
% 1.84/1.15 Current options:
% 1.84/1.15 ------
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15 ------ Proving...
% 1.84/1.15
% 1.84/1.15
% 1.84/1.15 % SZS status Theorem for theBenchmark.p
% 1.84/1.15
% 1.84/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.15
% 1.84/1.15
%------------------------------------------------------------------------------