TSTP Solution File: SET004-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 1.86s 1.18s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 5 unt; 1 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
union(a,b,aUb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_b_is_aUb) ).
cnf(c_50,negated_conjecture,
~ subset(a,aUb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUb) ).
cnf(c_52,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(c_163,plain,
~ member(member_of_1_not_of_2(a,aUb),aUb),
inference(resolution,[status(thm)],[c_50,c_59]) ).
cnf(c_167,plain,
member(member_of_1_not_of_2(a,aUb),a),
inference(resolution,[status(thm)],[c_50,c_58]) ).
cnf(c_696,plain,
( ~ member(member_of_1_not_of_2(a,aUb),a)
| ~ union(a,X0,X1)
| member(member_of_1_not_of_2(a,aUb),X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_708,plain,
( ~ member(member_of_1_not_of_2(a,aUb),a)
| ~ union(a,X0,aUb)
| member(member_of_1_not_of_2(a,aUb),aUb) ),
inference(instantiation,[status(thm)],[c_696]) ).
cnf(c_720,plain,
( ~ member(member_of_1_not_of_2(a,aUb),a)
| ~ union(a,b,aUb)
| member(member_of_1_not_of_2(a,aUb),aUb) ),
inference(instantiation,[status(thm)],[c_708]) ).
cnf(c_721,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_720,c_167,c_163,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n003.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 : Thu May 2 20:30:35 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.86/1.18 % SZS status Started for theBenchmark.p
% 1.86/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.18
% 1.86/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.86/1.18
% 1.86/1.18 ------ iProver source info
% 1.86/1.18
% 1.86/1.18 git: date: 2024-05-02 19:28:25 +0000
% 1.86/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.86/1.18 git: non_committed_changes: false
% 1.86/1.18
% 1.86/1.18 ------ Parsing...successful
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18 ------ 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
% 1.86/1.18
% 1.86/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.86/1.18 ------ Proving...
% 1.86/1.18 ------ Problem Properties
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18 clauses 11
% 1.86/1.18 conjectures 1
% 1.86/1.18 EPR 6
% 1.86/1.18 Horn 8
% 1.86/1.18 unary 2
% 1.86/1.18 binary 2
% 1.86/1.18 lits 29
% 1.86/1.18 lits eq 0
% 1.86/1.18 fd_pure 0
% 1.86/1.18 fd_pseudo 0
% 1.86/1.18 fd_cond 0
% 1.86/1.18 fd_pseudo_cond 0
% 1.86/1.18 AC symbols 0
% 1.86/1.18
% 1.86/1.18 ------ Schedule dynamic 5 is on
% 1.86/1.18
% 1.86/1.18 ------ no equalities: superposition off
% 1.86/1.18
% 1.86/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18 ------
% 1.86/1.18 Current options:
% 1.86/1.18 ------
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18 ------ Proving...
% 1.86/1.18
% 1.86/1.18
% 1.86/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.18
% 1.86/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/1.18
% 1.86/1.18
%------------------------------------------------------------------------------