TSTP Solution File: SET020-7 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET020-7 : 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 : Thu Aug 31 15:05:37 EDT 2023
% Result : Unsatisfiable 0.42s 1.12s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 8 unt; 0 nHn; 22 RR)
% Number of literals : 40 ( 12 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_unordered_pair) ).
cnf(c_51,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).
cnf(c_79,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(c_82,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(c_115,negated_conjecture,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_1) ).
cnf(c_116,negated_conjecture,
first(ordered_pair(u,v)) != u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_2) ).
cnf(c_130,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_132,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_133,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_4464,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_7469,plain,
member(u,universal_class),
inference(superposition,[status(thm)],[c_115,c_51]) ).
cnf(c_9106,plain,
( first(ordered_pair(u,v)) != X0
| u != X0
| first(ordered_pair(u,v)) = u ),
inference(instantiation,[status(thm)],[c_4464]) ).
cnf(c_9383,plain,
member(v,unordered_pair(u,v)),
inference(superposition,[status(thm)],[c_115,c_50]) ).
cnf(c_11257,plain,
ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) = ordered_pair(u,v),
inference(superposition,[status(thm)],[c_115,c_133]) ).
cnf(c_11307,plain,
( ~ member(u,singleton(X0))
| u = X0 ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_11405,plain,
( ~ member(ordered_pair(u,v),cross_product(X0,X1))
| member(first(ordered_pair(u,v)),X0) ),
inference(superposition,[status(thm)],[c_11257,c_130]) ).
cnf(c_12439,plain,
( ~ member(u,X0)
| ~ member(v,X1)
| member(first(ordered_pair(u,v)),X0) ),
inference(superposition,[status(thm)],[c_132,c_11405]) ).
cnf(c_12694,plain,
( ~ member(u,X0)
| member(first(ordered_pair(u,v)),X0) ),
inference(superposition,[status(thm)],[c_9383,c_12439]) ).
cnf(c_12708,plain,
( ~ member(u,singleton(X0))
| first(ordered_pair(u,v)) = X0 ),
inference(superposition,[status(thm)],[c_12694,c_82]) ).
cnf(c_12872,plain,
~ member(u,singleton(X0)),
inference(global_subsumption_just,[status(thm)],[c_12708,c_116,c_9106,c_11307,c_12708]) ).
cnf(c_12877,plain,
~ member(u,universal_class),
inference(superposition,[status(thm)],[c_79,c_12872]) ).
cnf(c_12880,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12877,c_7469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET020-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 09:51:24 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.42/1.12 % SZS status Started for theBenchmark.p
% 0.42/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.42/1.12
% 0.42/1.12 ------ iProver source info
% 0.42/1.12
% 0.42/1.12 git: date: 2023-05-31 18:12:56 +0000
% 0.42/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.42/1.12 git: non_committed_changes: false
% 0.42/1.12 git: last_make_outside_of_git: false
% 0.42/1.12
% 0.42/1.12 ------ Parsing...successful
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sup_sim: 2 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
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.42/1.12
% 0.42/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.42/1.12 ------ Proving...
% 0.42/1.12 ------ Problem Properties
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 clauses 149
% 0.42/1.12 conjectures 2
% 0.42/1.12 EPR 17
% 0.42/1.12 Horn 118
% 0.42/1.12 unary 47
% 0.42/1.12 binary 62
% 0.42/1.12 lits 298
% 0.42/1.12 lits eq 97
% 0.42/1.12 fd_pure 0
% 0.42/1.12 fd_pseudo 0
% 0.42/1.12 fd_cond 5
% 0.42/1.12 fd_pseudo_cond 16
% 0.42/1.12 AC symbols 0
% 0.42/1.12
% 0.42/1.12 ------ Schedule dynamic 5 is on
% 0.42/1.12
% 0.42/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------
% 0.42/1.12 Current options:
% 0.42/1.12 ------
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 ------ Proving...
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12
% 0.42/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12
% 0.42/1.12
%------------------------------------------------------------------------------