TSTP Solution File: LCL012-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:36:35 EDT 2024
% Result : Unsatisfiable 126.92s 17.74s
% Output : CNFRefutation 126.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 55 ( 21 unt; 0 nHn; 23 RR)
% Number of literals : 95 ( 0 equ; 41 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 149 ( 0 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(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',um) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yqj) ).
cnf(c_523,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_524,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_50,c_523]) ).
cnf(c_525,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_524,c_49]) ).
cnf(c_763,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_764,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_525,c_49]) ).
cnf(c_770,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X2))) ),
inference(superposition,[status(thm)],[c_525,c_763]) ).
cnf(c_774,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_770,c_49]) ).
cnf(c_988,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_990,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_50,c_988]) ).
cnf(c_1010,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_764]) ).
cnf(c_1011,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_990,c_764]) ).
cnf(c_1021,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X0),X2),X2))) ),
inference(superposition,[status(thm)],[c_1010,c_988]) ).
cnf(c_1022,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X0)),X3),X3)) ),
inference(superposition,[status(thm)],[c_50,c_774]) ).
cnf(c_1423,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1425,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X2)),
inference(superposition,[status(thm)],[c_50,c_1011]) ).
cnf(c_1429,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1425,c_49]) ).
cnf(c_1434,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_1021,c_1011]) ).
cnf(c_1435,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_50,c_1423]) ).
cnf(c_1446,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(superposition,[status(thm)],[c_1435,c_1429]) ).
cnf(c_1451,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_1021,c_764]) ).
cnf(c_1725,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1446,c_49]) ).
cnf(c_1727,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_1446,c_1725]) ).
cnf(c_1735,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1741,plain,
is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
inference(superposition,[status(thm)],[c_1446,c_1735]) ).
cnf(c_1742,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(superposition,[status(thm)],[c_1727,c_1735]) ).
cnf(c_1762,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_1742,c_49]) ).
cnf(c_1772,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(superposition,[status(thm)],[c_1762,c_1735]) ).
cnf(c_1842,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X1,equivalent(X2,X0))),X2)) ),
inference(superposition,[status(thm)],[c_1741,c_1451]) ).
cnf(c_115598,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_115600,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_50,c_115598]) ).
cnf(c_115611,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1446,c_49]) ).
cnf(c_115628,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1772,c_115611]) ).
cnf(c_115694,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
inference(superposition,[status(thm)],[c_50,c_115628]) ).
cnf(c_119440,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X0),X1))),X2)),
inference(superposition,[status(thm)],[c_115694,c_1011]) ).
cnf(c_120184,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X0)),equivalent(X1,X2))),
inference(superposition,[status(thm)],[c_119440,c_115598]) ).
cnf(c_122586,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_120184,c_49]) ).
cnf(c_125863,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_1434,c_1011]) ).
cnf(c_127807,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_1842,c_115598]) ).
cnf(c_129076,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_1022,c_49]) ).
cnf(c_133589,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_129076]) ).
cnf(c_145810,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_127807,c_49]) ).
cnf(c_146049,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))) ),
inference(superposition,[status(thm)],[c_50,c_145810]) ).
cnf(c_146376,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_146049,c_122586]) ).
cnf(c_146867,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X0),X1))),
inference(superposition,[status(thm)],[c_50,c_146376]) ).
cnf(c_146868,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_115600,c_146376]) ).
cnf(c_147300,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X2))),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_146867,c_1011]) ).
cnf(c_147745,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X2,X0))))),
inference(superposition,[status(thm)],[c_146868,c_115598]) ).
cnf(c_148882,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_147300,c_49]) ).
cnf(c_149064,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_125863,c_148882]) ).
cnf(c_204189,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X0,X1))),X2)),
inference(superposition,[status(thm)],[c_147745,c_149064]) ).
cnf(c_204887,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_204189,c_133589]) ).
cnf(c_208691,plain,
$false,
inference(superposition,[status(thm)],[c_204887,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 19:06:25 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 126.92/17.74 % SZS status Started for theBenchmark.p
% 126.92/17.74 % SZS status Unsatisfiable for theBenchmark.p
% 126.92/17.74
% 126.92/17.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 126.92/17.74
% 126.92/17.74 ------ iProver source info
% 126.92/17.74
% 126.92/17.74 git: date: 2024-05-02 19:28:25 +0000
% 126.92/17.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 126.92/17.74 git: non_committed_changes: false
% 126.92/17.74
% 126.92/17.74 ------ Parsing...successful
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 126.92/17.74
% 126.92/17.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 126.92/17.74 ------ Proving...
% 126.92/17.74 ------ Problem Properties
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74 clauses 3
% 126.92/17.74 conjectures 1
% 126.92/17.74 EPR 0
% 126.92/17.74 Horn 3
% 126.92/17.74 unary 2
% 126.92/17.74 binary 0
% 126.92/17.74 lits 5
% 126.92/17.74 lits eq 0
% 126.92/17.74 fd_pure 0
% 126.92/17.74 fd_pseudo 0
% 126.92/17.74 fd_cond 0
% 126.92/17.74 fd_pseudo_cond 0
% 126.92/17.74 AC symbols 0
% 126.92/17.74
% 126.92/17.74 ------ Input Options Time Limit: Unbounded
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74 ------
% 126.92/17.74 Current options:
% 126.92/17.74 ------
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74 ------ Proving...
% 126.92/17.74
% 126.92/17.74
% 126.92/17.74 % SZS status Unsatisfiable for theBenchmark.p
% 126.92/17.74
% 126.92/17.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 126.92/17.74
% 126.92/17.75
%------------------------------------------------------------------------------