TSTP Solution File: SET002-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:59:12 EDT 2024
% Result : Unsatisfiable 1.79s 1.13s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 3 unt; 5 nHn; 17 RR)
% Number of literals : 43 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
union(a,a,aUa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
cnf(c_50,negated_conjecture,
~ equal_sets(aUa,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_aUa) ).
cnf(c_51,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0)
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).
cnf(c_52,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(c_58,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(c_59,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(c_62,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_are_set_equal_sets) ).
cnf(c_141,plain,
( ~ subset(a,aUa)
| ~ subset(aUa,a) ),
inference(resolution,[status(thm)],[c_50,c_62]) ).
cnf(c_606,plain,
( member(member_of_1_not_of_2(a,aUa),a)
| subset(a,aUa) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_607,plain,
( ~ member(member_of_1_not_of_2(a,aUa),aUa)
| subset(a,aUa) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_609,plain,
( ~ member(member_of_1_not_of_2(a,aUa),a)
| ~ union(a,X0,X1)
| member(member_of_1_not_of_2(a,aUa),X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_612,plain,
( ~ member(member_of_1_not_of_2(aUa,a),a)
| subset(aUa,a) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_613,plain,
( member(member_of_1_not_of_2(aUa,a),aUa)
| subset(aUa,a) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_625,plain,
( ~ member(member_of_1_not_of_2(a,aUa),a)
| ~ union(a,X0,aUa)
| member(member_of_1_not_of_2(a,aUa),aUa) ),
inference(instantiation,[status(thm)],[c_609]) ).
cnf(c_626,plain,
( ~ member(member_of_1_not_of_2(a,aUa),a)
| ~ union(a,a,aUa)
| member(member_of_1_not_of_2(a,aUa),aUa) ),
inference(instantiation,[status(thm)],[c_625]) ).
cnf(c_645,plain,
( ~ member(member_of_1_not_of_2(aUa,a),aUa)
| ~ union(X0,X1,aUa)
| member(member_of_1_not_of_2(aUa,a),X0)
| member(member_of_1_not_of_2(aUa,a),X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_646,plain,
( ~ member(member_of_1_not_of_2(aUa,a),aUa)
| ~ union(a,a,aUa)
| member(member_of_1_not_of_2(aUa,a),a) ),
inference(instantiation,[status(thm)],[c_645]) ).
cnf(c_647,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_646,c_626,c_612,c_613,c_607,c_606,c_141,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.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 20:38:01 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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
% 1.79/1.13 % SZS status Started for theBenchmark.p
% 1.79/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.13
% 1.79/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.79/1.13
% 1.79/1.13 ------ iProver source info
% 1.79/1.13
% 1.79/1.13 git: date: 2024-05-02 19:28:25 +0000
% 1.79/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.79/1.13 git: non_committed_changes: false
% 1.79/1.13
% 1.79/1.13 ------ Parsing...successful
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.79/1.13
% 1.79/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.79/1.13 ------ Proving...
% 1.79/1.13 ------ Problem Properties
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 clauses 11
% 1.79/1.13 conjectures 0
% 1.79/1.13 EPR 6
% 1.79/1.13 Horn 8
% 1.79/1.13 unary 1
% 1.79/1.13 binary 3
% 1.79/1.13 lits 30
% 1.79/1.13 lits eq 0
% 1.79/1.13 fd_pure 0
% 1.79/1.13 fd_pseudo 0
% 1.79/1.13 fd_cond 0
% 1.79/1.13 fd_pseudo_cond 0
% 1.79/1.13 AC symbols 0
% 1.79/1.13
% 1.79/1.13 ------ Schedule dynamic 5 is on
% 1.79/1.13
% 1.79/1.13 ------ no conjectures: strip conj schedule
% 1.79/1.13
% 1.79/1.13 ------ no equalities: superposition off
% 1.79/1.13
% 1.79/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------
% 1.79/1.13 Current options:
% 1.79/1.13 ------
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------ Proving...
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.13
% 1.79/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.13
% 1.79/1.13
%------------------------------------------------------------------------------