TSTP Solution File: SYN251-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN251-1 : TPTP v8.1.0. Released v1.1.0.
% 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 21 12:19:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m1(e,b,b),
file('SYN251-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN251-1.p',unknown),
[] ).
cnf(32,axiom,
m0(b,b,e),
file('SYN251-1.p',unknown),
[] ).
cnf(54,axiom,
( ~ l0(u)
| ~ m0(v,v,w)
| m1(w,v,v) ),
file('SYN251-1.p',unknown),
[] ).
cnf(421,plain,
( ~ l0(u)
| ~ m0(b,b,e) ),
inference(res,[status(thm),theory(equality)],[54,1]),
[iquote('0:Res:54.2,1.0')] ).
cnf(422,plain,
~ l0(u),
inference(mrr,[status(thm)],[421,32]),
[iquote('0:MRR:421.1,32.0')] ).
cnf(423,plain,
$false,
inference(unc,[status(thm)],[422,21]),
[iquote('0:UnC:422.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN251-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % 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 : Tue Jul 12 08:33:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 335 clauses.
% 0.20/0.46 SPASS allocated 76099 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.03 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 1, length 7 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : prove_this axiom_20 axiom_31 rule_015
% 0.20/0.46
%------------------------------------------------------------------------------