TSTP Solution File: SET068-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:59:41 EDT 2024
% Result : Unsatisfiable 4.28s 1.13s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 21 ( 10 unt; 5 nHn; 14 RR)
% Number of literals : 34 ( 7 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_65,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
cnf(c_66,negated_conjecture,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
cnf(c_67,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_68,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_69,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_70,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_74,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_75,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_78,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_1044,plain,
~ subclass(singleton(y),unordered_pair(y,x)),
inference(demodulation,[status(thm)],[c_66,c_65]) ).
cnf(c_4403,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_70,c_67]) ).
cnf(c_4480,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_4403]) ).
cnf(c_5894,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_78,c_74]) ).
cnf(c_6057,plain,
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(superposition,[status(thm)],[c_68,c_5894]) ).
cnf(c_7369,plain,
not_subclass_element(singleton(y),unordered_pair(y,x)) = y,
inference(superposition,[status(thm)],[c_6057,c_1044]) ).
cnf(c_7412,plain,
( subclass(singleton(y),unordered_pair(y,x))
| member(y,universal_class) ),
inference(superposition,[status(thm)],[c_7369,c_4480]) ).
cnf(c_7413,plain,
( ~ member(y,unordered_pair(y,x))
| subclass(singleton(y),unordered_pair(y,x)) ),
inference(superposition,[status(thm)],[c_7369,c_69]) ).
cnf(c_7416,plain,
member(y,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[c_7412,c_1044]) ).
cnf(c_7418,plain,
~ member(y,unordered_pair(y,x)),
inference(forward_subsumption_resolution,[status(thm)],[c_7413,c_1044]) ).
cnf(c_7422,plain,
~ member(y,universal_class),
inference(superposition,[status(thm)],[c_75,c_7418]) ).
cnf(c_7423,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7422,c_7416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n024.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 20:24:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 4.28/1.13 % SZS status Started for theBenchmark.p
% 4.28/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.13
% 4.28/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.28/1.13
% 4.28/1.13 ------ iProver source info
% 4.28/1.13
% 4.28/1.13 git: date: 2024-05-02 19:28:25 +0000
% 4.28/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.28/1.13 git: non_committed_changes: false
% 4.28/1.13
% 4.28/1.13 ------ Parsing...successful
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13 ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.28/1.13
% 4.28/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.28/1.13
% 4.28/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.28/1.13 ------ Proving...
% 4.28/1.13 ------ Problem Properties
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13 clauses 99
% 4.28/1.13 conjectures 0
% 4.28/1.13 EPR 17
% 4.28/1.13 Horn 88
% 4.28/1.13 unary 37
% 4.28/1.13 binary 38
% 4.28/1.13 lits 191
% 4.28/1.13 lits eq 42
% 4.28/1.13 fd_pure 0
% 4.28/1.13 fd_pseudo 0
% 4.28/1.13 fd_cond 5
% 4.28/1.13 fd_pseudo_cond 6
% 4.28/1.13 AC symbols 0
% 4.28/1.13
% 4.28/1.13 ------ Schedule dynamic 5 is on
% 4.28/1.13
% 4.28/1.13 ------ no conjectures: strip conj schedule
% 4.28/1.13
% 4.28/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13 ------
% 4.28/1.13 Current options:
% 4.28/1.13 ------
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13 ------ Proving...
% 4.28/1.13
% 4.28/1.13
% 4.28/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.13
% 4.28/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.13
% 4.28/1.13
%------------------------------------------------------------------------------