TSTP Solution File: SET041-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 15:05:51 EDT 2023
% Result : Unsatisfiable 0.51s 1.21s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 4 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 3 equ; 11 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_sets_equal) ).
cnf(c_72,plain,
( ~ member(X0,domain_of(X1))
| ~ function(X1)
| subset(apply(X2,apply(X1,X0)),apply(compose(X2,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_for_composition1) ).
cnf(c_73,plain,
( ~ function(X0)
| subset(apply(compose(X1,X0),X2),apply(X1,apply(X0,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_for_composition2) ).
cnf(c_74,plain,
function(a_function),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_function) ).
cnf(c_75,plain,
member(a,domain_of(a_function)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_domain) ).
cnf(c_76,negated_conjecture,
apply(compose(another_function,a_function),a) != apply(another_function,apply(a_function,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_apply_for_composition3) ).
cnf(c_6001,plain,
( ~ subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a)))
| ~ subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a))
| apply(compose(another_function,a_function),a) = apply(another_function,apply(a_function,a)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_6670,plain,
( ~ member(a,domain_of(a_function))
| ~ function(a_function)
| subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_9068,plain,
( ~ function(a_function)
| subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a))) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_9069,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9068,c_6670,c_6001,c_76,c_75,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET041-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 12:23:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.51/1.21 % SZS status Started for theBenchmark.p
% 0.51/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.21
% 0.51/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.21
% 0.51/1.21 ------ iProver source info
% 0.51/1.21
% 0.51/1.21 git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.21 git: non_committed_changes: false
% 0.51/1.21 git: last_make_outside_of_git: false
% 0.51/1.21
% 0.51/1.21 ------ Parsing...successful
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing... sup_sim: 15 pe_s pe:1:0s pe:2:0s pe_e
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e
% 0.51/1.21
% 0.51/1.21 ------ Preprocessing...
% 0.51/1.21 ------ Proving...
% 0.51/1.21 ------ Problem Properties
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 clauses 226
% 0.51/1.21 conjectures 1
% 0.51/1.21 EPR 34
% 0.51/1.21 Horn 206
% 0.51/1.21 unary 19
% 0.51/1.21 binary 159
% 0.51/1.21 lits 518
% 0.51/1.21 lits eq 48
% 0.51/1.21 fd_pure 0
% 0.51/1.21 fd_pseudo 0
% 0.51/1.21 fd_cond 4
% 0.51/1.21 fd_pseudo_cond 11
% 0.51/1.21 AC symbols 0
% 0.51/1.21
% 0.51/1.21 ------ Input Options Time Limit: Unbounded
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 ------
% 0.51/1.21 Current options:
% 0.51/1.21 ------
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 ------ Proving...
% 0.51/1.21
% 0.51/1.21
% 0.51/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.21
% 0.51/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.21
% 0.51/1.21
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