TSTP Solution File: SET013-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:59:16 EDT 2024
% Result : Unsatisfiable 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 2 unt; 4 nHn; 23 RR)
% Number of literals : 55 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_52,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(c_53,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(c_59,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_both_is_member_of_intersection) ).
cnf(c_60,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1) ).
cnf(c_61,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2) ).
cnf(c_64,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
cnf(c_401,plain,
( ~ subset(X0_13,X1_13)
| ~ subset(X1_13,X0_13)
| equal_sets(X1_13,X0_13) ),
inference(subtyping,[status(esa)],[c_64]) ).
cnf(c_404,plain,
( ~ member(X0_14,intersection(X0_13,X1_13))
| member(X0_14,X1_13) ),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_405,plain,
( ~ member(X0_14,intersection(X0_13,X1_13))
| member(X0_14,X0_13) ),
inference(subtyping,[status(esa)],[c_60]) ).
cnf(c_406,plain,
( ~ member(X0_14,X0_13)
| ~ member(X0_14,X1_13)
| member(X0_14,intersection(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_412,plain,
( ~ member(member_of_1_not_of_2(X0_13,X1_13),X1_13)
| subset(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_413,plain,
( member(member_of_1_not_of_2(X0_13,X1_13),X0_13)
| subset(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_473,plain,
( ~ subset(intersection(as,bs),intersection(bs,as))
| ~ subset(intersection(bs,as),intersection(as,bs))
| equal_sets(intersection(as,bs),intersection(bs,as)) ),
inference(instantiation,[status(thm)],[c_401]) ).
cnf(c_517,plain,
( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
| subset(intersection(bs,as),intersection(as,bs)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_518,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
| subset(intersection(bs,as),intersection(as,bs)) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_736,plain,
( member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| subset(intersection(as,bs),intersection(bs,as)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_737,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
| subset(intersection(as,bs),intersection(bs,as)) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_881,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
| ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs)) ),
inference(instantiation,[status(thm)],[c_406]) ).
cnf(c_1113,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
| member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as) ),
inference(instantiation,[status(thm)],[c_404]) ).
cnf(c_1122,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
| member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_1519,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_1520,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs) ),
inference(instantiation,[status(thm)],[c_404]) ).
cnf(c_2934,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as)
| ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs)
| member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as)) ),
inference(instantiation,[status(thm)],[c_406]) ).
cnf(c_3462,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2934,c_1519,c_1520,c_1122,c_1113,c_881,c_736,c_737,c_517,c_518,c_473,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:29:43 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...successful
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 19
% 0.44/1.13 conjectures 1
% 0.44/1.13 EPR 8
% 0.44/1.13 Horn 16
% 0.44/1.13 unary 3
% 0.44/1.13 binary 11
% 0.44/1.13 lits 40
% 0.44/1.13 lits eq 0
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 0
% 0.44/1.13 fd_pseudo_cond 0
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Input Options Time Limit: Unbounded
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.13
%------------------------------------------------------------------------------