TSTP Solution File: LCL123-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL123-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : Fri May 3 02:36:56 EDT 2024
% Result : Unsatisfiable 165.92s 22.82s
% Output : CNFRefutation 165.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 60 ( 17 unt; 0 nHn; 27 RR)
% Number of literals : 121 ( 0 equ; 62 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 204 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_4) ).
cnf(c_92,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_101,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_110,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_101]) ).
cnf(c_129,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_49]) ).
cnf(c_153,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_129,c_49]) ).
cnf(c_154,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(equivalent(equivalent(X3,X1),X2)) ),
inference(superposition,[status(thm)],[c_129,c_153]) ).
cnf(c_156,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_170,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
inference(superposition,[status(thm)],[c_156,c_49]) ).
cnf(c_223,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_170]) ).
cnf(c_225,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))) ),
inference(superposition,[status(thm)],[c_129,c_170]) ).
cnf(c_264,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2)) ),
inference(superposition,[status(thm)],[c_223,c_153]) ).
cnf(c_321,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_129,c_49]) ).
cnf(c_325,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_225]) ).
cnf(c_331,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X4))
| is_a_theorem(equivalent(X4,X3)) ),
inference(superposition,[status(thm)],[c_264,c_321]) ).
cnf(c_332,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_264,c_49]) ).
cnf(c_396,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_129,c_332]) ).
cnf(c_539,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X3),equivalent(X2,X3)))) ),
inference(superposition,[status(thm)],[c_325,c_154]) ).
cnf(c_786,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
inference(superposition,[status(thm)],[c_539,c_396]) ).
cnf(c_1153,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_264,c_396]) ).
cnf(c_1154,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
| is_a_theorem(equivalent(X3,X2)) ),
inference(superposition,[status(thm)],[c_264,c_331]) ).
cnf(c_1249,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_225]) ).
cnf(c_1274,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X4),equivalent(X3,X4))) ),
inference(superposition,[status(thm)],[c_1249,c_786]) ).
cnf(c_1408,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_1249,c_1154]) ).
cnf(c_1409,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(equivalent(X2,equivalent(X3,X1))) ),
inference(superposition,[status(thm)],[c_129,c_1154]) ).
cnf(c_1739,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X1,X3))) ),
inference(superposition,[status(thm)],[c_1408,c_49]) ).
cnf(c_2104,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3))) ),
inference(superposition,[status(thm)],[c_1249,c_1409]) ).
cnf(c_2324,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(equivalent(X3,X2)) ),
inference(superposition,[status(thm)],[c_2104,c_396]) ).
cnf(c_2412,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
inference(superposition,[status(thm)],[c_1249,c_1739]) ).
cnf(c_2582,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_2584,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_225]) ).
cnf(c_2608,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))
| is_a_theorem(equivalent(equivalent(X0,X4),equivalent(equivalent(X1,X3),X4))) ),
inference(superposition,[status(thm)],[c_2582,c_2412]) ).
cnf(c_2647,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_129,c_2324]) ).
cnf(c_2864,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(equivalent(X2,equivalent(X3,X1))) ),
inference(superposition,[status(thm)],[c_129,c_2647]) ).
cnf(c_2874,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X2,X3))) ),
inference(superposition,[status(thm)],[c_264,c_1274]) ).
cnf(c_3087,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
| is_a_theorem(equivalent(X2,X3)) ),
inference(superposition,[status(thm)],[c_2874,c_396]) ).
cnf(c_5451,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_2874,c_1153]) ).
cnf(c_5514,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3))) ),
inference(superposition,[status(thm)],[c_2584,c_2864]) ).
cnf(c_5573,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_50,c_225]) ).
cnf(c_6224,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4),equivalent(equivalent(X0,equivalent(X1,X3)),X4))),
inference(superposition,[status(thm)],[c_50,c_2608]) ).
cnf(c_6225,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(superposition,[status(thm)],[c_5573,c_2608]) ).
cnf(c_7762,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_6225,c_1153]) ).
cnf(c_8030,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_5514,c_7762]) ).
cnf(c_8037,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_6225,c_7762]) ).
cnf(c_9004,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2))) ),
inference(superposition,[status(thm)],[c_8037,c_154]) ).
cnf(c_9569,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_5573,c_8030]) ).
cnf(c_9693,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
| is_a_theorem(equivalent(equivalent(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_9569,c_3087]) ).
cnf(c_9696,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_9569,c_5451]) ).
cnf(c_10304,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4),X5))
| is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X3)),X4),X5)) ),
inference(superposition,[status(thm)],[c_6224,c_3087]) ).
cnf(c_12596,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_9004,c_1153]) ).
cnf(c_12789,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_6224,c_9696]) ).
cnf(c_13763,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_6225,c_12596]) ).
cnf(c_17589,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_12789,c_9693]) ).
cnf(c_21031,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2)))),
inference(superposition,[status(thm)],[c_17589,c_13763]) ).
cnf(c_109689,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,X0),equivalent(c,X0))),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))) ),
inference(instantiation,[status(thm)],[c_10304]) ).
cnf(c_119555,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))) ),
inference(instantiation,[status(thm)],[c_109689]) ).
cnf(c_163191,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
inference(instantiation,[status(thm)],[c_21031]) ).
cnf(c_163192,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_163191,c_119555,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL123-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 18:52:21 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 165.92/22.82 % SZS status Started for theBenchmark.p
% 165.92/22.82 % SZS status Unsatisfiable for theBenchmark.p
% 165.92/22.82
% 165.92/22.82 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 165.92/22.82
% 165.92/22.82 ------ iProver source info
% 165.92/22.82
% 165.92/22.82 git: date: 2024-05-02 19:28:25 +0000
% 165.92/22.82 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 165.92/22.82 git: non_committed_changes: false
% 165.92/22.82
% 165.92/22.82 ------ Parsing...successful
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 165.92/22.82
% 165.92/22.82 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 165.92/22.82 ------ Proving...
% 165.92/22.82 ------ Problem Properties
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82 clauses 3
% 165.92/22.82 conjectures 1
% 165.92/22.82 EPR 0
% 165.92/22.82 Horn 3
% 165.92/22.82 unary 2
% 165.92/22.82 binary 0
% 165.92/22.82 lits 5
% 165.92/22.82 lits eq 0
% 165.92/22.82 fd_pure 0
% 165.92/22.82 fd_pseudo 0
% 165.92/22.82 fd_cond 0
% 165.92/22.82 fd_pseudo_cond 0
% 165.92/22.82 AC symbols 0
% 165.92/22.82
% 165.92/22.82 ------ Input Options Time Limit: Unbounded
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82 ------
% 165.92/22.82 Current options:
% 165.92/22.82 ------
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82 ------ Proving...
% 165.92/22.82
% 165.92/22.82
% 165.92/22.82 % SZS status Unsatisfiable for theBenchmark.p
% 165.92/22.82
% 165.92/22.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 165.92/22.82
% 166.93/22.83
%------------------------------------------------------------------------------