TSTP Solution File: SET080-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 15:06:16 EDT 2023
% Result : Unsatisfiable 3.66s 1.15s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 2 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).
cnf(c_50,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_53,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_58,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_61,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_96,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(c_99,plain,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(c_276,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
inference(prop_impl_just,[status(thm)],[c_96]) ).
cnf(c_1243,plain,
( X0 != omega
| member(null_class,X0) ),
inference(resolution_lifted,[status(thm)],[c_276,c_99]) ).
cnf(c_1244,plain,
member(null_class,omega),
inference(unflattening,[status(thm)],[c_1243]) ).
cnf(c_3700,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c_61,c_58]) ).
cnf(c_3711,plain,
~ member(null_class,universal_class),
inference(superposition,[status(thm)],[c_3700,c_49]) ).
cnf(c_3855,plain,
( ~ subclass(omega,X0)
| member(null_class,X0) ),
inference(superposition,[status(thm)],[c_1244,c_50]) ).
cnf(c_3926,plain,
member(null_class,universal_class),
inference(superposition,[status(thm)],[c_53,c_3855]) ).
cnf(c_3929,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3926,c_3711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:37:46 EDT 2023
% 0.13/0.34 % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.66/1.15 % SZS status Started for theBenchmark.p
% 3.66/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.15
% 3.66/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.66/1.15
% 3.66/1.15 ------ iProver source info
% 3.66/1.15
% 3.66/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.66/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.66/1.15 git: non_committed_changes: false
% 3.66/1.15 git: last_make_outside_of_git: false
% 3.66/1.15
% 3.66/1.15 ------ Parsing...successful
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 ------ 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
% 3.66/1.15
% 3.66/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.66/1.15
% 3.66/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.66/1.15 ------ Proving...
% 3.66/1.15 ------ Problem Properties
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 clauses 84
% 3.66/1.15 conjectures 1
% 3.66/1.15 EPR 12
% 3.66/1.15 Horn 76
% 3.66/1.15 unary 32
% 3.66/1.15 binary 32
% 3.66/1.15 lits 162
% 3.66/1.15 lits eq 36
% 3.66/1.15 fd_pure 0
% 3.66/1.15 fd_pseudo 0
% 3.66/1.15 fd_cond 3
% 3.66/1.15 fd_pseudo_cond 3
% 3.66/1.15 AC symbols 0
% 3.66/1.15
% 3.66/1.15 ------ Schedule dynamic 5 is on
% 3.66/1.15
% 3.66/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 ------
% 3.66/1.15 Current options:
% 3.66/1.15 ------
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 ------ Proving...
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.15
% 3.66/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/1.15
% 3.66/1.15
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