TSTP Solution File: NUM010-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM010-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:48:05 EDT 2024
% Result : Unsatisfiable 75.68s 11.23s
% Output : CNFRefutation 75.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 5 unt; 13 nHn; 30 RR)
% Number of literals : 95 ( 0 equ; 53 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
member(f74,natural_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_natural_number) ).
cnf(c_50,negated_conjecture,
~ member(successor(f74),natural_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_has_a_successor) ).
cnf(c_51,plain,
( ~ member(X0,natural_numbers)
| ~ member(empty_set,X1)
| ~ little_set(X1)
| member(f43(X0,X1),X1)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers1) ).
cnf(c_52,plain,
( ~ member(successor(f43(X0,X1)),X1)
| ~ member(X0,natural_numbers)
| ~ member(empty_set,X1)
| ~ little_set(X1)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers2) ).
cnf(c_53,plain,
( ~ little_set(X0)
| member(X0,natural_numbers)
| little_set(f44(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers3) ).
cnf(c_54,plain,
( ~ little_set(X0)
| member(empty_set,f44(X0))
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
cnf(c_55,plain,
( ~ member(X0,f44(X1))
| ~ little_set(X1)
| member(successor(X0),f44(X1))
| member(X1,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers5) ).
cnf(c_56,plain,
( ~ member(X0,f44(X0))
| member(X0,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
cnf(c_129,plain,
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(c_188,plain,
little_set(infinity),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',infinity1) ).
cnf(c_189,plain,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',infinity2) ).
cnf(c_190,plain,
( ~ member(X0,infinity)
| member(successor(X0),infinity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',infinity3) ).
cnf(c_1000,plain,
( ~ member(X0,natural_numbers)
| ~ member(empty_set,infinity)
| ~ little_set(infinity)
| member(f43(X0,infinity),infinity)
| member(X0,infinity) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1948,plain,
( ~ member(f74,infinity)
| member(successor(f74),infinity) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_2041,plain,
( ~ little_set(successor(f74))
| little_set(f44(successor(f74))) ),
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_2155,plain,
( ~ member(f74,natural_numbers)
| ~ member(empty_set,infinity)
| ~ little_set(infinity)
| member(f43(f74,infinity),infinity)
| member(f74,infinity) ),
inference(instantiation,[status(thm)],[c_1000]) ).
cnf(c_5970,plain,
( ~ member(successor(f74),infinity)
| little_set(successor(f74)) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_7560,plain,
( ~ member(f43(f74,infinity),infinity)
| member(successor(f43(f74,infinity)),infinity) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_9383,plain,
( ~ member(successor(f43(f74,infinity)),infinity)
| ~ member(f74,natural_numbers)
| ~ member(empty_set,infinity)
| ~ little_set(infinity)
| member(f74,infinity) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_16856,plain,
( ~ little_set(successor(f74))
| member(empty_set,f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_26557,plain,
( ~ member(successor(f74),f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_28771,plain,
( ~ member(X0,f44(successor(f74)))
| ~ little_set(successor(f74))
| member(successor(X0),f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_31545,plain,
( ~ member(successor(f43(X0,f44(successor(f74)))),f44(successor(f74)))
| ~ member(empty_set,f44(successor(f74)))
| ~ little_set(f44(successor(f74)))
| ~ member(X0,natural_numbers)
| member(X0,f44(successor(f74))) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_31546,plain,
( ~ member(empty_set,f44(successor(f74)))
| ~ little_set(f44(successor(f74)))
| ~ member(X0,natural_numbers)
| member(f43(X0,f44(successor(f74))),f44(successor(f74)))
| member(X0,f44(successor(f74))) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_36203,plain,
( ~ member(f43(X0,f44(successor(f74))),f44(successor(f74)))
| ~ little_set(successor(f74))
| member(successor(f43(X0,f44(successor(f74)))),f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_28771]) ).
cnf(c_37458,plain,
( ~ member(empty_set,f44(successor(f74)))
| ~ little_set(f44(successor(f74)))
| ~ member(f74,natural_numbers)
| member(f43(f74,f44(successor(f74))),f44(successor(f74)))
| member(f74,f44(successor(f74))) ),
inference(instantiation,[status(thm)],[c_31546]) ).
cnf(c_42178,plain,
( ~ member(f43(f74,f44(successor(f74))),f44(successor(f74)))
| ~ little_set(successor(f74))
| member(successor(f43(f74,f44(successor(f74)))),f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_36203]) ).
cnf(c_43862,plain,
( ~ member(f74,f44(successor(f74)))
| ~ little_set(successor(f74))
| member(successor(f74),f44(successor(f74)))
| member(successor(f74),natural_numbers) ),
inference(instantiation,[status(thm)],[c_28771]) ).
cnf(c_63610,plain,
( ~ member(successor(f43(f74,f44(successor(f74)))),f44(successor(f74)))
| ~ member(empty_set,f44(successor(f74)))
| ~ little_set(f44(successor(f74)))
| ~ member(f74,natural_numbers)
| member(f74,f44(successor(f74))) ),
inference(instantiation,[status(thm)],[c_31545]) ).
cnf(c_63611,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63610,c_43862,c_42178,c_37458,c_26557,c_16856,c_9383,c_7560,c_5970,c_2155,c_2041,c_1948,c_50,c_49,c_189,c_188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM010-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n032.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 19:31:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 75.68/11.23 % SZS status Started for theBenchmark.p
% 75.68/11.23 % SZS status Unsatisfiable for theBenchmark.p
% 75.68/11.23
% 75.68/11.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 75.68/11.23
% 75.68/11.23 ------ iProver source info
% 75.68/11.23
% 75.68/11.23 git: date: 2024-05-02 19:28:25 +0000
% 75.68/11.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 75.68/11.23 git: non_committed_changes: false
% 75.68/11.23
% 75.68/11.23 ------ Parsing...successful
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 75.68/11.23
% 75.68/11.23 ------ Preprocessing...
% 75.68/11.23
% 75.68/11.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 75.68/11.23 ------ Proving...
% 75.68/11.23 ------ Problem Properties
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23 clauses 221
% 75.68/11.23 conjectures 1
% 75.68/11.23 EPR 34
% 75.68/11.23 Horn 162
% 75.68/11.23 unary 16
% 75.68/11.23 binary 118
% 75.68/11.23 lits 619
% 75.68/11.23 lits eq 56
% 75.68/11.23 fd_pure 0
% 75.68/11.23 fd_pseudo 0
% 75.68/11.23 fd_cond 7
% 75.68/11.23 fd_pseudo_cond 9
% 75.68/11.23 AC symbols 0
% 75.68/11.23
% 75.68/11.23 ------ Input Options Time Limit: Unbounded
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23 ------
% 75.68/11.23 Current options:
% 75.68/11.23 ------
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23 ------ Proving...
% 75.68/11.23
% 75.68/11.23
% 75.68/11.23 % SZS status Unsatisfiable for theBenchmark.p
% 75.68/11.23
% 75.68/11.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 75.68/11.23
% 75.68/11.23
%------------------------------------------------------------------------------