TSTP Solution File: SET014-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 15:05:26 EDT 2023
% Result : Unsatisfiable 2.85s 1.15s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 4 unt; 4 nHn; 14 RR)
% Number of literals : 33 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
cnf(c_50,plain,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
cnf(c_51,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
cnf(c_53,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
cnf(c_54,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_55,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_60,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_416,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs))
| subset(union(as,bs),cs) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_417,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),cs)
| subset(union(as,bs),cs) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_444,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),X0)
| ~ subset(X0,cs)
| member(member_of_1_not_of_2(union(as,bs),cs),cs) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_468,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs))
| member(member_of_1_not_of_2(union(as,bs),cs),as)
| member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_520,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),as)
| ~ subset(as,X0)
| member(member_of_1_not_of_2(union(as,bs),cs),X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_521,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),as)
| ~ subset(as,cs)
| member(member_of_1_not_of_2(union(as,bs),cs),cs) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_561,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),cs),bs)
| ~ subset(bs,cs)
| member(member_of_1_not_of_2(union(as,bs),cs),cs) ),
inference(instantiation,[status(thm)],[c_444]) ).
cnf(c_562,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_561,c_521,c_468,c_417,c_416,c_51,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.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 17:01:12 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
% 2.85/1.15 % SZS status Started for theBenchmark.p
% 2.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.15
% 2.85/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.85/1.15
% 2.85/1.15 ------ iProver source info
% 2.85/1.15
% 2.85/1.15 git: date: 2023-05-31 18:12:56 +0000
% 2.85/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.85/1.15 git: non_committed_changes: false
% 2.85/1.15 git: last_make_outside_of_git: false
% 2.85/1.15
% 2.85/1.15 ------ Parsing...successful
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.85/1.15
% 2.85/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.85/1.15 ------ Proving...
% 2.85/1.15 ------ Problem Properties
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 clauses 21
% 2.85/1.15 conjectures 1
% 2.85/1.15 EPR 10
% 2.85/1.15 Horn 18
% 2.85/1.15 unary 5
% 2.85/1.15 binary 11
% 2.85/1.15 lits 42
% 2.85/1.15 lits eq 0
% 2.85/1.15 fd_pure 0
% 2.85/1.15 fd_pseudo 0
% 2.85/1.15 fd_cond 0
% 2.85/1.15 fd_pseudo_cond 0
% 2.85/1.15 AC symbols 0
% 2.85/1.15
% 2.85/1.15 ------ Schedule dynamic 5 is on
% 2.85/1.15
% 2.85/1.15 ------ no equalities: superposition off
% 2.85/1.15
% 2.85/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------
% 2.85/1.15 Current options:
% 2.85/1.15 ------
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------ Proving...
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.15
% 2.85/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.85/1.15
% 2.85/1.15
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