TSTP Solution File: SET012-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 15:05:24 EDT 2023
% Result : Unsatisfiable 41.61s 6.79s
% Output : CNFRefutation 41.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 9 unt; 11 nHn; 23 RR)
% Number of literals : 59 ( 23 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 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 : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
complement(as) = bs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_is_b) ).
cnf(c_50,plain,
complement(bs) = cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_b_is_c) ).
cnf(c_51,negated_conjecture,
as != cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c) ).
cnf(c_52,plain,
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(c_53,plain,
( X0 = X1
| little_set(f1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality1) ).
cnf(c_54,plain,
( X0 = X1
| member(f1(X0,X1),X0)
| member(f1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality2) ).
cnf(c_55,plain,
( ~ member(f1(X0,X1),X0)
| ~ member(f1(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality3) ).
cnf(c_82,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',complement1) ).
cnf(c_83,plain,
( ~ little_set(X0)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',complement2) ).
cnf(c_346,plain,
X0 = X0,
theory(equality) ).
cnf(c_348,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_391,plain,
( as != X0
| cs != X0
| as = cs ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_886,plain,
( cs = X0
| little_set(f1(cs,X0)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1764,plain,
( ~ member(X0,as)
| ~ member(X0,bs) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
cnf(c_1765,plain,
( ~ member(X0,bs)
| ~ member(X0,cs) ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
cnf(c_1820,plain,
( ~ little_set(X0)
| member(X0,as)
| member(X0,bs) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
cnf(c_1821,plain,
( ~ little_set(X0)
| member(X0,bs)
| member(X0,cs) ),
inference(superposition,[status(thm)],[c_50,c_83]) ).
cnf(c_3344,plain,
( as != as
| cs != as
| as = cs ),
inference(instantiation,[status(thm)],[c_391]) ).
cnf(c_3345,plain,
as = as,
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_3511,plain,
( cs = as
| little_set(f1(cs,as)) ),
inference(instantiation,[status(thm)],[c_886]) ).
cnf(c_3648,plain,
( ~ member(f1(cs,X0),X0)
| ~ little_set(f1(cs,X0))
| X0 = cs
| member(f1(cs,X0),bs) ),
inference(superposition,[status(thm)],[c_1821,c_55]) ).
cnf(c_3659,plain,
( ~ member(f1(cs,X0),X0)
| X0 = cs
| member(f1(cs,X0),bs) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3648,c_52]) ).
cnf(c_4892,plain,
( ~ little_set(f1(cs,as))
| as = cs
| member(f1(cs,as),bs) ),
inference(superposition,[status(thm)],[c_1820,c_3659]) ).
cnf(c_4894,plain,
member(f1(cs,as),bs),
inference(global_subsumption_just,[status(thm)],[c_4892,c_51,c_3344,c_3345,c_3511,c_4892]) ).
cnf(c_4995,plain,
~ member(f1(cs,as),cs),
inference(superposition,[status(thm)],[c_4894,c_1765]) ).
cnf(c_4996,plain,
~ member(f1(cs,as),as),
inference(superposition,[status(thm)],[c_4894,c_1764]) ).
cnf(c_5027,plain,
( as = cs
| member(f1(cs,as),as) ),
inference(superposition,[status(thm)],[c_54,c_4995]) ).
cnf(c_5029,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5027,c_4996,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.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 : Sat Aug 26 13:20:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 41.61/6.79 % SZS status Started for theBenchmark.p
% 41.61/6.79 % SZS status Unsatisfiable for theBenchmark.p
% 41.61/6.79
% 41.61/6.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 41.61/6.79
% 41.61/6.79 ------ iProver source info
% 41.61/6.79
% 41.61/6.79 git: date: 2023-05-31 18:12:56 +0000
% 41.61/6.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 41.61/6.79 git: non_committed_changes: false
% 41.61/6.79 git: last_make_outside_of_git: false
% 41.61/6.79
% 41.61/6.79 ------ Parsing...successful
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 41.61/6.79
% 41.61/6.79 ------ Preprocessing...
% 41.61/6.79
% 41.61/6.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 41.61/6.79 ------ Proving...
% 41.61/6.79 ------ Problem Properties
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79 clauses 144
% 41.61/6.79 conjectures 1
% 41.61/6.79 EPR 25
% 41.61/6.79 Horn 124
% 41.61/6.79 unary 15
% 41.61/6.79 binary 92
% 41.61/6.79 lits 344
% 41.61/6.79 lits eq 36
% 41.61/6.79 fd_pure 0
% 41.61/6.79 fd_pseudo 0
% 41.61/6.79 fd_cond 4
% 41.61/6.79 fd_pseudo_cond 7
% 41.61/6.79 AC symbols 0
% 41.61/6.79
% 41.61/6.79 ------ Input Options Time Limit: Unbounded
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79 ------
% 41.61/6.79 Current options:
% 41.61/6.79 ------
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79 ------ Proving...
% 41.61/6.79
% 41.61/6.79
% 41.61/6.79 % SZS status Unsatisfiable for theBenchmark.p
% 41.61/6.79
% 41.61/6.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.61/6.79
% 41.61/6.79
%------------------------------------------------------------------------------