TSTP Solution File: SET230-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET230-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 03:00:20 EDT 2024
% Result : Unsatisfiable 17.47s 3.02s
% Output : CNFRefutation 17.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 5 unt; 10 nHn; 25 RR)
% Number of literals : 65 ( 19 equ; 28 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
cross_product(u,u) = cross_product(w,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_1) ).
cnf(c_50,negated_conjecture,
u != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_2) ).
cnf(c_73,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_74,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_78,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_86,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_87,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_137,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_2393,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_3478,plain,
( u != X0
| w != X0
| u = w ),
inference(instantiation,[status(thm)],[c_2393]) ).
cnf(c_3484,plain,
( u != null_class
| w != null_class
| u = w ),
inference(instantiation,[status(thm)],[c_3478]) ).
cnf(c_5174,plain,
( ~ member(ordered_pair(X0,X1),cross_product(u,u))
| member(X1,w) ),
inference(superposition,[status(thm)],[c_49,c_86]) ).
cnf(c_7353,plain,
( ~ subclass(u,w)
| ~ subclass(w,u) ),
inference(resolution,[status(thm)],[c_78,c_50]) ).
cnf(c_17236,plain,
( ~ member(X0,w)
| ~ member(X1,w)
| member(ordered_pair(X0,X1),cross_product(u,u)) ),
inference(superposition,[status(thm)],[c_49,c_87]) ).
cnf(c_17241,plain,
( ~ member(X0,u)
| ~ member(X1,u)
| member(X1,w) ),
inference(superposition,[status(thm)],[c_87,c_5174]) ).
cnf(c_17307,plain,
( ~ member(X0,w)
| ~ member(X1,w)
| member(X1,u) ),
inference(superposition,[status(thm)],[c_17236,c_86]) ).
cnf(c_17319,plain,
( ~ member(X0,u)
| u = null_class
| member(X0,w) ),
inference(superposition,[status(thm)],[c_137,c_17241]) ).
cnf(c_17336,plain,
( ~ member(X0,w)
| w = null_class
| member(X0,u) ),
inference(superposition,[status(thm)],[c_137,c_17307]) ).
cnf(c_17677,plain,
( u = null_class
| member(regular(u),w) ),
inference(superposition,[status(thm)],[c_137,c_17319]) ).
cnf(c_17820,plain,
( w = null_class
| member(regular(w),u) ),
inference(superposition,[status(thm)],[c_137,c_17336]) ).
cnf(c_24437,plain,
( ~ member(X0,w)
| u = null_class
| member(X0,u) ),
inference(superposition,[status(thm)],[c_17677,c_17307]) ).
cnf(c_24546,plain,
( ~ member(X0,u)
| w = null_class
| member(X0,w) ),
inference(superposition,[status(thm)],[c_17820,c_17241]) ).
cnf(c_26086,plain,
( ~ member(X0,w)
| member(X0,u) ),
inference(global_subsumption_just,[status(thm)],[c_24437,c_50,c_3484,c_17336,c_24437]) ).
cnf(c_26088,plain,
( member(not_subclass_element(w,X0),u)
| subclass(w,X0) ),
inference(superposition,[status(thm)],[c_73,c_26086]) ).
cnf(c_26107,plain,
( ~ member(X0,u)
| member(X0,w) ),
inference(global_subsumption_just,[status(thm)],[c_24546,c_50,c_3484,c_17319,c_24546]) ).
cnf(c_26109,plain,
( member(not_subclass_element(u,X0),w)
| subclass(u,X0) ),
inference(superposition,[status(thm)],[c_73,c_26107]) ).
cnf(c_26142,plain,
subclass(w,u),
inference(superposition,[status(thm)],[c_26088,c_74]) ).
cnf(c_26188,plain,
subclass(u,w),
inference(superposition,[status(thm)],[c_26109,c_74]) ).
cnf(c_26202,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26188,c_26142,c_7353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET230-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.08/0.28 % Computer : n013.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu May 2 20:12:49 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 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
% 17.47/3.02 % SZS status Started for theBenchmark.p
% 17.47/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 17.47/3.02
% 17.47/3.02 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.47/3.02
% 17.47/3.02 ------ iProver source info
% 17.47/3.02
% 17.47/3.02 git: date: 2024-05-02 19:28:25 +0000
% 17.47/3.02 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.47/3.02 git: non_committed_changes: false
% 17.47/3.02
% 17.47/3.02 ------ Parsing...successful
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02 ------ 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
% 17.47/3.02
% 17.47/3.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.47/3.02
% 17.47/3.02 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.47/3.02 ------ Proving...
% 17.47/3.02 ------ Problem Properties
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02 clauses 102
% 17.47/3.02 conjectures 2
% 17.47/3.02 EPR 13
% 17.47/3.02 Horn 94
% 17.47/3.02 unary 41
% 17.47/3.02 binary 40
% 17.47/3.02 lits 190
% 17.47/3.02 lits eq 46
% 17.47/3.02 fd_pure 0
% 17.47/3.02 fd_pseudo 0
% 17.47/3.02 fd_cond 3
% 17.47/3.02 fd_pseudo_cond 7
% 17.47/3.02 AC symbols 0
% 17.47/3.02
% 17.47/3.02 ------ Input Options Time Limit: Unbounded
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02 ------
% 17.47/3.02 Current options:
% 17.47/3.02 ------
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02 ------ Proving...
% 17.47/3.02
% 17.47/3.02
% 17.47/3.02 % SZS status Unsatisfiable for theBenchmark.p
% 17.47/3.02
% 17.47/3.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.47/3.02
% 17.47/3.02
%------------------------------------------------------------------------------