TSTP Solution File: SET015-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:59:18 EDT 2024
% Result : Unsatisfiable 4.03s 1.11s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 2 unt; 10 nHn; 21 RR)
% Number of literals : 61 ( 0 equ; 25 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 : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(c_56,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_set1_is_member_of_union) ).
cnf(c_57,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_set2_is_member_of_union) ).
cnf(c_58,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
cnf(c_64,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
file('/export/starexec/sandbox2/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_407,plain,
( ~ member(X0_14,union(X0_13,X1_13))
| member(X0_14,X0_13)
| member(X0_14,X1_13) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_408,plain,
( ~ member(X0_14,X0_13)
| member(X0_14,union(X1_13,X0_13)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_409,plain,
( ~ member(X0_14,X0_13)
| member(X0_14,union(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_56]) ).
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_426,plain,
( ~ subset(union(as,bs),union(bs,as))
| ~ subset(union(bs,as),union(as,bs))
| equal_sets(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_401]) ).
cnf(c_434,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs))
| subset(union(bs,as),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_435,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as))
| subset(union(bs,as),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_450,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_408]) ).
cnf(c_451,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs)) ),
inference(instantiation,[status(thm)],[c_409]) ).
cnf(c_455,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_412]) ).
cnf(c_456,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs))
| subset(union(as,bs),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_509,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,X0_13))
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),X0_13)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs) ),
inference(instantiation,[status(thm)],[c_407]) ).
cnf(c_512,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as))
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs) ),
inference(instantiation,[status(thm)],[c_509]) ).
cnf(c_531,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_408]) ).
cnf(c_532,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as)) ),
inference(instantiation,[status(thm)],[c_409]) ).
cnf(c_630,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,X0_13))
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),X0_13)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as) ),
inference(instantiation,[status(thm)],[c_407]) ).
cnf(c_1404,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs))
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs) ),
inference(instantiation,[status(thm)],[c_630]) ).
cnf(c_1405,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1404,c_532,c_531,c_512,c_455,c_456,c_451,c_450,c_434,c_435,c_426,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 20:31:18 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.03/1.11 % SZS status Started for theBenchmark.p
% 4.03/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.11
% 4.03/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.11
% 4.03/1.11 ------ iProver source info
% 4.03/1.11
% 4.03/1.11 git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.11 git: non_committed_changes: false
% 4.03/1.11
% 4.03/1.11 ------ Parsing...successful
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 4.03/1.11
% 4.03/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.03/1.11 ------ Proving...
% 4.03/1.11 ------ Problem Properties
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11 clauses 19
% 4.03/1.11 conjectures 1
% 4.03/1.11 EPR 8
% 4.03/1.11 Horn 16
% 4.03/1.11 unary 3
% 4.03/1.11 binary 11
% 4.03/1.11 lits 40
% 4.03/1.11 lits eq 0
% 4.03/1.11 fd_pure 0
% 4.03/1.11 fd_pseudo 0
% 4.03/1.11 fd_cond 0
% 4.03/1.11 fd_pseudo_cond 0
% 4.03/1.11 AC symbols 0
% 4.03/1.11
% 4.03/1.11 ------ Input Options Time Limit: Unbounded
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11 ------
% 4.03/1.11 Current options:
% 4.03/1.11 ------
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11 ------ Proving...
% 4.03/1.11
% 4.03/1.11
% 4.03/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.11
% 4.03/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.11
% 4.03/1.11
%------------------------------------------------------------------------------