TSTP Solution File: SYN643-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN643-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 6.95s 7.13s
% Output : Refutation 6.95s
% 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('SYN643-1.p',unknown),
[] ).
cnf(2,axiom,
p15(f3(c18)),
file('SYN643-1.p',unknown),
[] ).
cnf(5,axiom,
p4(u,u),
file('SYN643-1.p',unknown),
[] ).
cnf(10,axiom,
p4(f5(f3(c18)),f5(c18)),
file('SYN643-1.p',unknown),
[] ).
cnf(11,axiom,
p4(f5(f3(c19)),f5(c19)),
file('SYN643-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN643-1.p',unknown),
[] ).
cnf(28,axiom,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('SYN643-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ p4(u,v)
| ~ p4(w,x)
| p4(f9(u,w),f9(v,x)) ),
file('SYN643-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ p15(u)
| ~ p15(v)
| p4(f5(f10(v,u)),f9(f5(v),f5(u))) ),
file('SYN643-1.p',unknown),
[] ).
cnf(69,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[5,24]),
[iquote('0:Res:5.0,24.0')] ).
cnf(189,plain,
( ~ p4(u,v)
| ~ p4(w,x)
| ~ p4(f9(u,w),y)
| p4(y,f9(v,x)) ),
inference(res,[status(thm),theory(equality)],[35,24]),
[iquote('0:Res:35.2,24.0')] ).
cnf(242,plain,
( ~ p15(u)
| ~ p15(v)
| p4(f9(f5(v),f5(u)),f5(f10(v,u))) ),
inference(res,[status(thm),theory(equality)],[37,69]),
[iquote('0:Res:37.2,69.0')] ).
cnf(879,plain,
( ~ p15(u)
| ~ p15(v)
| ~ p4(f5(v),w)
| ~ p4(f5(u),x)
| p4(f5(f10(v,u)),f9(w,x)) ),
inference(res,[status(thm),theory(equality)],[242,189]),
[iquote('0:Res:242.2,189.2')] ).
cnf(11635,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19))
| ~ p4(f5(f3(c19)),f5(c19))
| ~ p4(f5(f3(c18)),f5(c18)) ),
inference(res,[status(thm),theory(equality)],[879,28]),
[iquote('0:Res:879.4,28.0')] ).
cnf(11644,plain,
( ~ p4(f5(f3(c19)),f5(c19))
| ~ p4(f5(f3(c18)),f5(c18)) ),
inference(ssi,[status(thm)],[11635,1,2]),
[iquote('0:SSi:11635.1,11635.0,1.0,2.0')] ).
cnf(11645,plain,
$false,
inference(mrr,[status(thm)],[11644,11,10]),
[iquote('0:MRR:11644.0,11644.1,11.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN643-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 : Tue Jul 12 01:52:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 6.95/7.13
% 6.95/7.13 SPASS V 3.9
% 6.95/7.13 SPASS beiseite: Proof found.
% 6.95/7.13 % SZS status Theorem
% 6.95/7.13 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.95/7.13 SPASS derived 11307 clauses, backtracked 0 clauses, performed 0 splits and kept 5779 clauses.
% 6.95/7.13 SPASS allocated 83255 KBytes.
% 6.95/7.13 SPASS spent 0:00:06.71 on the problem.
% 6.95/7.13 0:00:00.04 for the input.
% 6.95/7.13 0:00:00.00 for the FLOTTER CNF translation.
% 6.95/7.13 0:00:00.12 for inferences.
% 6.95/7.13 0:00:00.00 for the backtracking.
% 6.95/7.13 0:00:06.45 for the reduction.
% 6.95/7.13
% 6.95/7.13
% 6.95/7.13 Here is a proof with depth 4, length 16 :
% 6.95/7.13 % SZS output start Refutation
% See solution above
% 6.95/7.13 Formulae used in the proof : f3_is_p15_1 f3_is_p15_2 p4_5 p4_10 p4_11 p4_24 not_p4_28 p4_35 p4_37
% 6.95/7.13
%------------------------------------------------------------------------------