TSTP Solution File: ALG025+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : 600s
% DateTime : Thu Jul 14 18:02:00 EDT 2022
% Result : Theorem 0.45s 0.63s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 22
% Syntax : Number of clauses : 25 ( 22 unt; 0 nHn; 25 RR)
% Number of literals : 73 ( 0 equ; 51 neg)
% Maximal clause size : 21 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(e0,unit),
file('ALG025+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(unit,e1),e1),
file('ALG025+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e1,unit),e1),
file('ALG025+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(unit,e2),e2),
file('ALG025+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e2,unit),e2),
file('ALG025+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(unit,e3),e3),
file('ALG025+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e3,unit),e3),
file('ALG025+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(unit,e4),e4),
file('ALG025+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e4,unit),e4),
file('ALG025+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(unit,e5),e5),
file('ALG025+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e5,unit),e5),
file('ALG025+1.p',unknown),
[] ).
cnf(70,axiom,
equal(op(e2,e1),op(e1,e2)),
file('ALG025+1.p',unknown),
[] ).
cnf(71,axiom,
equal(op(e3,e1),op(e1,e3)),
file('ALG025+1.p',unknown),
[] ).
cnf(72,axiom,
equal(op(e4,e1),op(e1,e4)),
file('ALG025+1.p',unknown),
[] ).
cnf(73,axiom,
equal(op(e5,e1),op(e1,e5)),
file('ALG025+1.p',unknown),
[] ).
cnf(75,axiom,
equal(op(e3,e2),op(e2,e3)),
file('ALG025+1.p',unknown),
[] ).
cnf(76,axiom,
equal(op(e4,e2),op(e2,e4)),
file('ALG025+1.p',unknown),
[] ).
cnf(77,axiom,
equal(op(e5,e2),op(e2,e5)),
file('ALG025+1.p',unknown),
[] ).
cnf(79,axiom,
equal(op(e4,e3),op(e3,e4)),
file('ALG025+1.p',unknown),
[] ).
cnf(80,axiom,
equal(op(e5,e3),op(e3,e5)),
file('ALG025+1.p',unknown),
[] ).
cnf(82,axiom,
equal(op(e5,e4),op(e4,e5)),
file('ALG025+1.p',unknown),
[] ).
cnf(553,axiom,
( ~ equal(op(e0,e0),op(e0,e0))
| ~ equal(op(e1,e0),op(e0,e1))
| ~ equal(op(e2,e0),op(e0,e2))
| ~ equal(op(e3,e0),op(e0,e3))
| ~ equal(op(e4,e0),op(e0,e4))
| ~ equal(op(e5,e0),op(e0,e5))
| ~ equal(op(e1,e1),op(e1,e1))
| ~ equal(op(e2,e1),op(e1,e2))
| ~ equal(op(e3,e1),op(e1,e3))
| ~ equal(op(e4,e1),op(e1,e4))
| ~ equal(op(e5,e1),op(e1,e5))
| ~ equal(op(e2,e2),op(e2,e2))
| ~ equal(op(e3,e2),op(e2,e3))
| ~ equal(op(e4,e2),op(e2,e4))
| ~ equal(op(e5,e2),op(e2,e5))
| ~ equal(op(e3,e3),op(e3,e3))
| ~ equal(op(e4,e3),op(e3,e4))
| ~ equal(op(e5,e3),op(e3,e5))
| ~ equal(op(e4,e4),op(e4,e4))
| ~ equal(op(e5,e4),op(e4,e5))
| ~ equal(op(e5,e5),op(e5,e5)) ),
file('ALG025+1.p',unknown),
[] ).
cnf(1077,plain,
( ~ equal(op(e1,e0),op(e0,e1))
| ~ equal(op(e2,e0),op(e0,e2))
| ~ equal(op(e3,e0),op(e0,e3))
| ~ equal(op(e4,e0),op(e0,e4))
| ~ equal(op(e5,e0),op(e0,e5))
| ~ equal(op(e2,e1),op(e1,e2))
| ~ equal(op(e3,e1),op(e1,e3))
| ~ equal(op(e4,e1),op(e1,e4))
| ~ equal(op(e5,e1),op(e1,e5))
| ~ equal(op(e3,e2),op(e2,e3))
| ~ equal(op(e4,e2),op(e2,e4))
| ~ equal(op(e5,e2),op(e2,e5))
| ~ equal(op(e4,e3),op(e3,e4))
| ~ equal(op(e5,e3),op(e3,e5))
| ~ equal(op(e5,e4),op(e4,e5)) ),
inference(obv,[status(thm),theory(equality)],[553]),
[iquote('0:Obv:553.20')] ).
cnf(1078,plain,
( ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e5,e5)
| ~ equal(op(e1,e2),op(e1,e2))
| ~ equal(op(e1,e3),op(e1,e3))
| ~ equal(op(e1,e4),op(e1,e4))
| ~ equal(op(e1,e5),op(e1,e5))
| ~ equal(op(e2,e3),op(e2,e3))
| ~ equal(op(e2,e4),op(e2,e4))
| ~ equal(op(e2,e5),op(e2,e5))
| ~ equal(op(e3,e4),op(e3,e4))
| ~ equal(op(e3,e5),op(e3,e5))
| ~ equal(op(e4,e5),op(e4,e5)) ),
inference(rew,[status(thm),theory(equality)],[82,1077,80,79,77,76,75,73,72,71,70,29,28,1,27,26,25,24,23,22,21,20]),
[iquote('0:Rew:82.0,1077.14,80.0,1077.13,79.0,1077.12,77.0,1077.11,76.0,1077.10,75.0,1077.9,73.0,1077.8,72.0,1077.7,71.0,1077.6,70.0,1077.5,29.0,1077.4,28.0,1077.4,1.0,1077.4,27.0,1077.3,26.0,1077.3,1.0,1077.3,25.0,1077.2,24.0,1077.2,1.0,1077.2,23.0,1077.1,22.0,1077.1,1.0,1077.1,21.0,1077.0,20.0,1077.0,1.0,1077.0')] ).
cnf(1079,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1078]),
[iquote('0:Obv:1078.14')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 00:16:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.45/0.63
% 0.45/0.63 SPASS V 3.9
% 0.45/0.63 SPASS beiseite: Proof found.
% 0.45/0.63 % SZS status Theorem
% 0.45/0.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.63 SPASS derived 70 clauses, backtracked 0 clauses, performed 0 splits and kept 399 clauses.
% 0.45/0.63 SPASS allocated 86989 KBytes.
% 0.45/0.63 SPASS spent 0:00:00.28 on the problem.
% 0.45/0.63 0:00:00.04 for the input.
% 0.45/0.63 0:00:00.15 for the FLOTTER CNF translation.
% 0.45/0.63 0:00:00.00 for inferences.
% 0.45/0.63 0:00:00.00 for the backtracking.
% 0.45/0.63 0:00:00.05 for the reduction.
% 0.45/0.63
% 0.45/0.63
% 0.45/0.63 Here is a proof with depth 0, length 25 :
% 0.45/0.63 % SZS output start Refutation
% See solution above
% 0.45/0.63 Formulae used in the proof : ax5 ax3 co1
% 0.45/0.63
%------------------------------------------------------------------------------