TSTP Solution File: LCL128-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL128-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 07:42:39 EDT 2023
% Result : Unsatisfiable 49.80s 7.70s
% Output : CNFRefutation 49.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of clauses : 63 ( 27 unt; 0 nHn; 24 RR)
% Number of literals : 107 ( 0 equ; 45 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 196 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_3) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(c_69,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_73,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))) ),
inference(superposition,[status(thm)],[c_69,c_49]) ).
cnf(c_83,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_73]) ).
cnf(c_86,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_95,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
inference(superposition,[status(thm)],[c_69,c_86]) ).
cnf(c_113,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_120,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))) ),
inference(superposition,[status(thm)],[c_95,c_49]) ).
cnf(c_121,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)))
| is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(superposition,[status(thm)],[c_95,c_113]) ).
cnf(c_150,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_83,c_121]) ).
cnf(c_183,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_186,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_150,c_183]) ).
cnf(c_190,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_207,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4),equivalent(equivalent(X1,X3),X4))) ),
inference(superposition,[status(thm)],[c_190,c_120]) ).
cnf(c_210,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_186,c_120]) ).
cnf(c_317,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_320,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_210,c_49]) ).
cnf(c_323,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_150,c_317]) ).
cnf(c_330,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_83,c_320]) ).
cnf(c_331,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_210,c_320]) ).
cnf(c_432,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(superposition,[status(thm)],[c_323,c_207]) ).
cnf(c_531,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))),
inference(superposition,[status(thm)],[c_432,c_330]) ).
cnf(c_610,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_617,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_150,c_610]) ).
cnf(c_720,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2))) ),
inference(superposition,[status(thm)],[c_617,c_331]) ).
cnf(c_781,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_720,c_610]) ).
cnf(c_840,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
inference(superposition,[status(thm)],[c_50,c_781]) ).
cnf(c_847,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),equivalent(equivalent(X0,X3),X2))),
inference(superposition,[status(thm)],[c_531,c_781]) ).
cnf(c_916,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_840,c_49]) ).
cnf(c_940,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))))
| is_a_theorem(equivalent(equivalent(X0,X3),X2)) ),
inference(superposition,[status(thm)],[c_847,c_49]) ).
cnf(c_4624,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(superposition,[status(thm)],[c_50,c_940]) ).
cnf(c_4638,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(superposition,[status(thm)],[c_4624,c_940]) ).
cnf(c_4699,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(X3,X3))),
inference(superposition,[status(thm)],[c_4638,c_916]) ).
cnf(c_10266,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_83,c_49]) ).
cnf(c_10270,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_210,c_49]) ).
cnf(c_10273,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_150,c_10266]) ).
cnf(c_10294,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))
| is_a_theorem(equivalent(X0,equivalent(X1,X3))) ),
inference(superposition,[status(thm)],[c_210,c_916]) ).
cnf(c_10297,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),X3))
| is_a_theorem(equivalent(equivalent(X4,X4),X3)) ),
inference(superposition,[status(thm)],[c_4699,c_10270]) ).
cnf(c_10302,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(superposition,[status(thm)],[c_50,c_10294]) ).
cnf(c_10316,plain,
is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(superposition,[status(thm)],[c_4699,c_10297]) ).
cnf(c_10320,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(superposition,[status(thm)],[c_10316,c_10270]) ).
cnf(c_10328,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_210,c_10320]) ).
cnf(c_10336,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X2))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_10328,c_49]) ).
cnf(c_10341,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10336,c_10273]) ).
cnf(c_10346,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2))) ),
inference(superposition,[status(thm)],[c_210,c_10341]) ).
cnf(c_10422,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2)))),
inference(superposition,[status(thm)],[c_10302,c_10294]) ).
cnf(c_10430,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(superposition,[status(thm)],[c_10302,c_940]) ).
cnf(c_10478,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
inference(superposition,[status(thm)],[c_10430,c_940]) ).
cnf(c_10541,plain,
is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,equivalent(X1,equivalent(X2,X2))))),
inference(superposition,[status(thm)],[c_10478,c_10297]) ).
cnf(c_10820,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X3)),X2))) ),
inference(superposition,[status(thm)],[c_10541,c_120]) ).
cnf(c_10828,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X2,X2)),X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_10820,c_10273]) ).
cnf(c_11186,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_10828,c_10294]) ).
cnf(c_11245,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_11186,c_49]) ).
cnf(c_11396,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(superposition,[status(thm)],[c_10422,c_11245]) ).
cnf(c_11699,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_11396,c_10341]) ).
cnf(c_11748,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_11699,c_49]) ).
cnf(c_11835,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_11748,c_49]) ).
cnf(c_11865,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_10346,c_11835]) ).
cnf(c_20852,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4))
| is_a_theorem(equivalent(X4,X0)) ),
inference(superposition,[status(thm)],[c_50,c_11865]) ).
cnf(c_21773,plain,
is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
inference(superposition,[status(thm)],[c_11396,c_20852]) ).
cnf(c_21787,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_21773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL128-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 25 04:35:36 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 49.80/7.70 % SZS status Started for theBenchmark.p
% 49.80/7.70 % SZS status Unsatisfiable for theBenchmark.p
% 49.80/7.70
% 49.80/7.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 49.80/7.70
% 49.80/7.70 ------ iProver source info
% 49.80/7.70
% 49.80/7.70 git: date: 2023-05-31 18:12:56 +0000
% 49.80/7.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 49.80/7.70 git: non_committed_changes: false
% 49.80/7.70 git: last_make_outside_of_git: false
% 49.80/7.70
% 49.80/7.70 ------ Parsing...successful
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 49.80/7.70
% 49.80/7.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 49.80/7.70 ------ Proving...
% 49.80/7.70 ------ Problem Properties
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70 clauses 3
% 49.80/7.70 conjectures 1
% 49.80/7.70 EPR 0
% 49.80/7.70 Horn 3
% 49.80/7.70 unary 2
% 49.80/7.70 binary 0
% 49.80/7.70 lits 5
% 49.80/7.70 lits eq 0
% 49.80/7.70 fd_pure 0
% 49.80/7.70 fd_pseudo 0
% 49.80/7.70 fd_cond 0
% 49.80/7.70 fd_pseudo_cond 0
% 49.80/7.70 AC symbols 0
% 49.80/7.70
% 49.80/7.70 ------ Input Options Time Limit: Unbounded
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70 ------
% 49.80/7.70 Current options:
% 49.80/7.70 ------
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70 ------ Proving...
% 49.80/7.70
% 49.80/7.70
% 49.80/7.70 % SZS status Unsatisfiable for theBenchmark.p
% 49.80/7.70
% 49.80/7.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.80/7.70
% 49.80/7.71
%------------------------------------------------------------------------------