%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG172+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : 600s
% DateTime : Thu Jul 14 18:02:48 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
equal(op(e4,e4),e1),
file('ALG172+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(op(e4,e4),e4),e4),
file('ALG172+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op(e1,e4),op(e1,e1)),
file('ALG172+1.p',unknown),
[] ).
cnf(182,axiom,
equal(op(op(e4,e4),op(e4,e4)),e4),
file('ALG172+1.p',unknown),
[] ).
cnf(266,plain,
equal(op(e1,e4),e4),
inference(rew,[status(thm),theory(equality)],[11,36]),
[iquote('0:Rew:11.0,36.0')] ).
cnf(279,plain,
~ equal(op(e1,e1),e4),
inference(rew,[status(thm),theory(equality)],[266,124]),
[iquote('0:Rew:266.0,124.0')] ).
cnf(301,plain,
equal(op(e1,e1),e4),
inference(rew,[status(thm),theory(equality)],[11,182]),
[iquote('0:Rew:11.0,182.0')] ).
cnf(302,plain,
$false,
inference(mrr,[status(thm)],[301,279]),
[iquote('0:MRR:301.0,279.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG172+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 12:06:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49
% 0.21/0.49 SPASS V 3.9
% 0.21/0.49 SPASS beiseite: Proof found.
% 0.21/0.49 % SZS status Theorem
% 0.21/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 149 clauses.
% 0.21/0.49 SPASS allocated 85758 KBytes.
% 0.21/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.21/0.49 0:00:00.04 for the input.
% 0.21/0.49 0:00:00.05 for the FLOTTER CNF translation.
% 0.21/0.49 0:00:00.00 for inferences.
% 0.21/0.49 0:00:00.00 for the backtracking.
% 0.21/0.49 0:00:00.01 for the reduction.
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Here is a proof with depth 0, length 8 :
% 0.21/0.49 % SZS output start Refutation
% See solution above
% 0.21/0.49 Formulae used in the proof : ax6 co1 ax4 ax3
% 0.21/0.49
%------------------------------------------------------------------------------