TSTP Solution File: SET143-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET143-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:00:03 EDT 2024
% Result : Unsatisfiable 137.95s 19.35s
% Output : CNFRefutation 137.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 2 unt; 9 nHn; 22 RR)
% Number of literals : 61 ( 3 equ; 26 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
intersection(intersection(x,y),z) != intersection(x,intersection(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_intersection_1) ).
cnf(c_72,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_73,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_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_3872,plain,
( ~ subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z)))
| ~ subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
| intersection(intersection(x,y),z) = intersection(x,intersection(y,z)) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_3931,plain,
( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
| subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_4474,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
cnf(c_4502,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_92]) ).
cnf(c_6602,plain,
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_93,c_73]) ).
cnf(c_6624,plain,
( member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X1)
| subclass(intersection(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_4474,c_92]) ).
cnf(c_6625,plain,
( member(not_subclass_element(intersection(intersection(X0,X1),X2),X3),X0)
| subclass(intersection(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_4474,c_91]) ).
cnf(c_7542,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z)) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_7543,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_12499,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_12500,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z))
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_55729,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
inference(instantiation,[status(thm)],[c_4502]) ).
cnf(c_55732,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
| subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
inference(instantiation,[status(thm)],[c_6602]) ).
cnf(c_55733,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
| subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
inference(instantiation,[status(thm)],[c_6625]) ).
cnf(c_55734,plain,
( member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
inference(instantiation,[status(thm)],[c_6624]) ).
cnf(c_62148,plain,
( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
| ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
| member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_66542,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z)
| subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)) ),
inference(instantiation,[status(thm)],[c_6602]) ).
cnf(c_204244,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),X0)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(X0,y)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_213749,plain,
( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x)
| ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y)
| member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_204244]) ).
cnf(c_213750,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_213749,c_66542,c_62148,c_55733,c_55734,c_55732,c_55729,c_12499,c_12500,c_7542,c_7543,c_3931,c_3872,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET143-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 20:21:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 137.95/19.35 % SZS status Started for theBenchmark.p
% 137.95/19.35 % SZS status Unsatisfiable for theBenchmark.p
% 137.95/19.35
% 137.95/19.35 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 137.95/19.35
% 137.95/19.35 ------ iProver source info
% 137.95/19.35
% 137.95/19.35 git: date: 2024-05-02 19:28:25 +0000
% 137.95/19.35 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 137.95/19.35 git: non_committed_changes: false
% 137.95/19.35
% 137.95/19.35 ------ Parsing...successful
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 137.95/19.35
% 137.95/19.35 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 137.95/19.35
% 137.95/19.35 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 137.95/19.35 ------ Proving...
% 137.95/19.35 ------ Problem Properties
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35 clauses 101
% 137.95/19.35 conjectures 1
% 137.95/19.35 EPR 12
% 137.95/19.35 Horn 93
% 137.95/19.35 unary 40
% 137.95/19.35 binary 40
% 137.95/19.35 lits 189
% 137.95/19.35 lits eq 45
% 137.95/19.35 fd_pure 0
% 137.95/19.35 fd_pseudo 0
% 137.95/19.35 fd_cond 3
% 137.95/19.35 fd_pseudo_cond 7
% 137.95/19.35 AC symbols 0
% 137.95/19.35
% 137.95/19.35 ------ Input Options Time Limit: Unbounded
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35 ------
% 137.95/19.35 Current options:
% 137.95/19.35 ------
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35 ------ Proving...
% 137.95/19.35
% 137.95/19.35
% 137.95/19.35 % SZS status Unsatisfiable for theBenchmark.p
% 137.95/19.35
% 137.95/19.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 137.95/19.35
% 138.57/19.35
%------------------------------------------------------------------------------