TSTP Solution File: SYN646-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN646-1 : TPTP v8.1.0. Released v2.5.0.
% 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 12:23:25 EDT 2022
% Result : Unsatisfiable 18.31s 18.55s
% Output : Refutation 18.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 32 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p2(u,u),
file('SYN646-1.p',unknown),
[] ).
cnf(7,axiom,
~ p21(f17(c25),f17(c22)),
file('SYN646-1.p',unknown),
[] ).
cnf(9,axiom,
p2(f12(f11(c22)),f7(c24)),
file('SYN646-1.p',unknown),
[] ).
cnf(10,axiom,
p2(f12(f11(c25)),f7(c24)),
file('SYN646-1.p',unknown),
[] ).
cnf(12,axiom,
p20(f14(f11(c25)),f14(f11(c22))),
file('SYN646-1.p',unknown),
[] ).
cnf(14,axiom,
p2(f13(f11(c23)),f13(f11(c22))),
file('SYN646-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN646-1.p',unknown),
[] ).
cnf(35,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN646-1.p',unknown),
[] ).
cnf(36,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN646-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ p2(f12(f11(u)),f7(c24))
| ~ p2(f12(f11(v)),f7(c24))
| ~ p20(f14(f11(v)),f14(f11(u)))
| ~ p2(f13(f11(v)),f13(f11(u)))
| p21(f17(v),f17(u)) ),
file('SYN646-1.p',unknown),
[] ).
cnf(70,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[5,28]),
[iquote('0:Res:5.0,28.0')] ).
cnf(75,plain,
( ~ p2(f13(f11(c23)),u)
| p2(u,f13(f11(c22))) ),
inference(res,[status(thm),theory(equality)],[14,28]),
[iquote('0:Res:14.0,28.0')] ).
cnf(92,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(res,[status(thm),theory(equality)],[36,70]),
[iquote('0:Res:36.0,70.0')] ).
cnf(102,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(res,[status(thm),theory(equality)],[35,70]),
[iquote('0:Res:35.0,70.0')] ).
cnf(296,plain,
( ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(res,[status(thm),theory(equality)],[12,40]),
[iquote('0:Res:12.0,40.2')] ).
cnf(297,plain,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(mrr,[status(thm)],[296,9,10,7]),
[iquote('0:MRR:296.0,296.1,296.3,9.0,10.0,7.0')] ).
cnf(2069,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),u)
| p2(u,f13(f11(c25))) ),
inference(res,[status(thm),theory(equality)],[92,28]),
[iquote('0:Res:92.0,28.0')] ).
cnf(22424,plain,
p2(f13(f11(c23)),f13(f11(c25))),
inference(res,[status(thm),theory(equality)],[102,2069]),
[iquote('0:Res:102.0,2069.0')] ).
cnf(22457,plain,
p2(f13(f11(c25)),f13(f11(c22))),
inference(res,[status(thm),theory(equality)],[22424,75]),
[iquote('0:Res:22424.0,75.0')] ).
cnf(22466,plain,
$false,
inference(mrr,[status(thm)],[22457,297]),
[iquote('0:MRR:22457.0,297.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN646-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n028.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jul 12 01:37:14 EDT 2022
% 0.08/0.28 % CPUTime :
% 18.31/18.55
% 18.31/18.55 SPASS V 3.9
% 18.31/18.55 SPASS beiseite: Proof found.
% 18.31/18.55 % SZS status Theorem
% 18.31/18.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.31/18.55 SPASS derived 22231 clauses, backtracked 0 clauses, performed 0 splits and kept 12934 clauses.
% 18.31/18.55 SPASS allocated 88556 KBytes.
% 18.31/18.55 SPASS spent 0:0:18.18 on the problem.
% 18.31/18.55 0:00:00.03 for the input.
% 18.31/18.55 0:00:00.00 for the FLOTTER CNF translation.
% 18.31/18.55 0:00:00.29 for inferences.
% 18.31/18.55 0:00:00.00 for the backtracking.
% 18.31/18.55 0:0:17.72 for the reduction.
% 18.31/18.55
% 18.31/18.55
% 18.31/18.55 Here is a proof with depth 5, length 20 :
% 18.31/18.55 % SZS output start Refutation
% See solution above
% 18.31/18.55 Formulae used in the proof : p2_5 not_p21_7 p2_9 p2_10 p20_12 p2_14 p2_28 p2_35 p2_36 p21_40
% 18.31/18.55
%------------------------------------------------------------------------------