TSTP Solution File: SYN642-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN642-1 : 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 12:23:24 EDT 2022
% Result : Unsatisfiable 7.56s 7.79s
% Output : Refutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 7 unt; 0 nHn; 16 RR)
% Number of literals : 36 ( 0 equ; 23 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p15(f3(c19)),
file('SYN642-1.p',unknown),
[] ).
cnf(2,axiom,
p15(f3(c18)),
file('SYN642-1.p',unknown),
[] ).
cnf(4,axiom,
p6(u,u),
file('SYN642-1.p',unknown),
[] ).
cnf(9,axiom,
p6(f8(f3(c19)),f8(c19)),
file('SYN642-1.p',unknown),
[] ).
cnf(14,axiom,
p6(f8(f3(c18)),f8(c18)),
file('SYN642-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p6(u,v)
| ~ p6(u,w)
| p6(w,v) ),
file('SYN642-1.p',unknown),
[] ).
cnf(28,axiom,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('SYN642-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p6(u,v)
| ~ p6(w,x)
| p6(f9(u,w),f9(v,x)) ),
file('SYN642-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ p15(u)
| ~ p15(v)
| p6(f8(f10(v,u)),f9(f8(v),f8(u))) ),
file('SYN642-1.p',unknown),
[] ).
cnf(104,plain,
( ~ p6(u,v)
| p6(v,u) ),
inference(res,[status(thm),theory(equality)],[4,23]),
[iquote('0:Res:4.0,23.0')] ).
cnf(238,plain,
( ~ p6(u,v)
| ~ p6(w,x)
| ~ p6(f9(u,w),y)
| p6(y,f9(v,x)) ),
inference(res,[status(thm),theory(equality)],[33,23]),
[iquote('0:Res:33.2,23.0')] ).
cnf(275,plain,
( ~ p15(u)
| ~ p15(v)
| p6(f9(f8(v),f8(u)),f8(f10(v,u))) ),
inference(res,[status(thm),theory(equality)],[36,104]),
[iquote('0:Res:36.2,104.0')] ).
cnf(938,plain,
( ~ p15(u)
| ~ p15(v)
| ~ p6(f8(v),w)
| ~ p6(f8(u),x)
| p6(f8(f10(v,u)),f9(w,x)) ),
inference(res,[status(thm),theory(equality)],[275,238]),
[iquote('0:Res:275.2,238.2')] ).
cnf(11986,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19))
| ~ p6(f8(f3(c19)),f8(c19))
| ~ p6(f8(f3(c18)),f8(c18)) ),
inference(res,[status(thm),theory(equality)],[938,28]),
[iquote('0:Res:938.4,28.0')] ).
cnf(11995,plain,
( ~ p6(f8(f3(c19)),f8(c19))
| ~ p6(f8(f3(c18)),f8(c18)) ),
inference(ssi,[status(thm)],[11986,1,2]),
[iquote('0:SSi:11986.1,11986.0,1.0,2.0')] ).
cnf(11996,plain,
$false,
inference(mrr,[status(thm)],[11995,9,14]),
[iquote('0:MRR:11995.0,11995.1,9.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN642-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 11 21:55:14 EDT 2022
% 0.11/0.32 % CPUTime :
% 7.56/7.79
% 7.56/7.79 SPASS V 3.9
% 7.56/7.79 SPASS beiseite: Proof found.
% 7.56/7.79 % SZS status Theorem
% 7.56/7.79 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/7.79 SPASS derived 11642 clauses, backtracked 0 clauses, performed 0 splits and kept 5950 clauses.
% 7.56/7.79 SPASS allocated 83419 KBytes.
% 7.56/7.79 SPASS spent 0:00:07.39 on the problem.
% 7.56/7.79 0:00:00.03 for the input.
% 7.56/7.79 0:00:00.00 for the FLOTTER CNF translation.
% 7.56/7.79 0:00:00.13 for inferences.
% 7.56/7.79 0:00:00.00 for the backtracking.
% 7.56/7.79 0:00:07.13 for the reduction.
% 7.56/7.79
% 7.56/7.79
% 7.56/7.79 Here is a proof with depth 4, length 16 :
% 7.56/7.79 % SZS output start Refutation
% See solution above
% 7.56/7.79 Formulae used in the proof : f3_is_p15_1 f3_is_p15_2 p6_4 p6_9 p6_14 p6_23 not_p6_28 p6_33 p6_36
% 7.56/7.79
%------------------------------------------------------------------------------