TSTP Solution File: SET149-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET149-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 15:06:50 EDT 2023
% Result : Unsatisfiable 8.06s 1.68s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 3 unt; 4 nHn; 18 RR)
% Number of literals : 41 ( 3 equ; 20 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
intersection(x,intersection(x,y)) != intersection(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_intersection_1) ).
cnf(c_72,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_73,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_3466,plain,
( ~ subclass(intersection(x,intersection(x,y)),intersection(x,y))
| ~ subclass(intersection(x,y),intersection(x,intersection(x,y)))
| intersection(x,intersection(x,y)) = intersection(x,y) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_3485,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y)))
| subclass(intersection(x,y),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3486,plain,
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| subclass(intersection(x,y),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_3523,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x)
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_3540,plain,
( ~ member(not_subclass_element(X0,intersection(x,y)),intersection(x,y))
| subclass(X0,intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3541,plain,
( member(not_subclass_element(X0,intersection(x,y)),X0)
| subclass(X0,intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_4045,plain,
( member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y)))
| subclass(intersection(x,intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_3541]) ).
cnf(c_5797,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_7015,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y)))
| member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_7443,plain,
( ~ subclass(intersection(x,intersection(x,y)),intersection(x,y))
| ~ subclass(intersection(x,y),intersection(x,intersection(x,y))) ),
inference(resolution,[status(thm)],[c_77,c_49]) ).
cnf(c_7445,plain,
~ subclass(intersection(x,intersection(x,y)),intersection(x,y)),
inference(global_subsumption_just,[status(thm)],[c_7443,c_49,c_3466,c_3486,c_3485,c_3523,c_5797]) ).
cnf(c_8156,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y))
| subclass(intersection(x,intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_3540]) ).
cnf(c_8157,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8156,c_7445,c_7015,c_4045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET149-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.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 : Sat Aug 26 08:32:56 EDT 2023
% 0.13/0.35 % 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
% 8.06/1.68 % SZS status Started for theBenchmark.p
% 8.06/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.68
% 8.06/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.06/1.68
% 8.06/1.68 ------ iProver source info
% 8.06/1.68
% 8.06/1.68 git: date: 2023-05-31 18:12:56 +0000
% 8.06/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.06/1.68 git: non_committed_changes: false
% 8.06/1.68 git: last_make_outside_of_git: false
% 8.06/1.68
% 8.06/1.68 ------ Parsing...successful
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 8.06/1.68
% 8.06/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.06/1.68
% 8.06/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.06/1.68 ------ Proving...
% 8.06/1.68 ------ Problem Properties
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68 clauses 101
% 8.06/1.68 conjectures 1
% 8.06/1.68 EPR 12
% 8.06/1.68 Horn 93
% 8.06/1.68 unary 40
% 8.06/1.68 binary 40
% 8.06/1.68 lits 189
% 8.06/1.68 lits eq 45
% 8.06/1.68 fd_pure 0
% 8.06/1.68 fd_pseudo 0
% 8.06/1.68 fd_cond 3
% 8.06/1.68 fd_pseudo_cond 7
% 8.06/1.68 AC symbols 0
% 8.06/1.68
% 8.06/1.68 ------ Input Options Time Limit: Unbounded
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68 ------
% 8.06/1.68 Current options:
% 8.06/1.68 ------
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68 ------ Proving...
% 8.06/1.68
% 8.06/1.68
% 8.06/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.68
% 8.06/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.06/1.68
% 8.06/1.68
%------------------------------------------------------------------------------