TSTP Solution File: SYN640-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN640-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 12:23:23 EDT 2022
% Result : Unsatisfiable 15.98s 16.21s
% Output : Refutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 13 unt; 0 nHn; 29 RR)
% Number of literals : 54 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p4(u,u),
file('SYN640-1.p',unknown),
[] ).
cnf(5,axiom,
p2(u,u),
file('SYN640-1.p',unknown),
[] ).
cnf(7,axiom,
~ p20(f17(c25),f17(c22)),
file('SYN640-1.p',unknown),
[] ).
cnf(9,axiom,
p2(f12(f11(c25)),f7(c24)),
file('SYN640-1.p',unknown),
[] ).
cnf(10,axiom,
p2(f12(f11(c22)),f7(c24)),
file('SYN640-1.p',unknown),
[] ).
cnf(12,axiom,
p19(f13(f11(c23)),f13(f11(c22))),
file('SYN640-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p4(u,v)
| p2(f12(u),f12(v)) ),
file('SYN640-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p4(u,v)
| p2(f13(u),f13(v)) ),
file('SYN640-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN640-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p19(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p19(x,w) ),
file('SYN640-1.p',unknown),
[] ).
cnf(33,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN640-1.p',unknown),
[] ).
cnf(34,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('SYN640-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ p2(f12(f11(u)),f7(c24))
| ~ p2(f12(f11(v)),f7(c24))
| ~ p19(f13(f11(u)),f13(f11(v)))
| p20(f17(u),f17(v)) ),
file('SYN640-1.p',unknown),
[] ).
cnf(68,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[5,26]),
[iquote('0:Res:5.0,26.0')] ).
cnf(70,plain,
( ~ p2(f12(f11(c22)),u)
| p2(u,f7(c24)) ),
inference(res,[status(thm),theory(equality)],[10,26]),
[iquote('0:Res:10.0,26.0')] ).
cnf(82,plain,
( ~ p4(u,v)
| p2(f12(v),f12(u)) ),
inference(res,[status(thm),theory(equality)],[17,68]),
[iquote('0:Res:17.1,68.0')] ).
cnf(84,plain,
( ~ p4(u,v)
| p2(f13(v),f13(u)) ),
inference(res,[status(thm),theory(equality)],[18,68]),
[iquote('0:Res:18.1,68.0')] ).
cnf(94,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(res,[status(thm),theory(equality)],[34,68]),
[iquote('0:Res:34.0,68.0')] ).
cnf(104,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(res,[status(thm),theory(equality)],[33,68]),
[iquote('0:Res:33.0,68.0')] ).
cnf(117,plain,
( ~ p4(u,f11(c22))
| p2(f12(u),f7(c24)) ),
inference(res,[status(thm),theory(equality)],[82,70]),
[iquote('0:Res:82.1,70.0')] ).
cnf(209,plain,
( ~ p2(f13(f11(c22)),u)
| ~ p2(f13(f11(c23)),v)
| p19(v,u) ),
inference(res,[status(thm),theory(equality)],[12,28]),
[iquote('0:Res:12.0,28.0')] ).
cnf(510,plain,
( ~ p4(u,f11(c22))
| ~ p2(f13(f11(c23)),v)
| p19(v,f13(u)) ),
inference(res,[status(thm),theory(equality)],[84,209]),
[iquote('0:Res:84.1,209.0')] ).
cnf(2149,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),u)
| p2(u,f13(f11(c25))) ),
inference(res,[status(thm),theory(equality)],[94,26]),
[iquote('0:Res:94.0,26.0')] ).
cnf(21203,plain,
p2(f13(f11(c23)),f13(f11(c25))),
inference(res,[status(thm),theory(equality)],[104,2149]),
[iquote('0:Res:104.0,2149.0')] ).
cnf(21238,plain,
( ~ p4(u,f11(c22))
| p19(f13(f11(c25)),f13(u)) ),
inference(res,[status(thm),theory(equality)],[21203,510]),
[iquote('0:Res:21203.0,510.1')] ).
cnf(21378,plain,
( ~ p4(f11(u),f11(c22))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(u)),f7(c24))
| p20(f17(c25),f17(u)) ),
inference(res,[status(thm),theory(equality)],[21238,35]),
[iquote('0:Res:21238.1,35.2')] ).
cnf(21380,plain,
( ~ p4(f11(u),f11(c22))
| p20(f17(c25),f17(u)) ),
inference(mrr,[status(thm)],[21378,9,117]),
[iquote('0:MRR:21378.1,21378.2,9.0,117.1')] ).
cnf(21750,plain,
~ p4(f11(c22),f11(c22)),
inference(res,[status(thm),theory(equality)],[21380,7]),
[iquote('0:Res:21380.1,7.0')] ).
cnf(21754,plain,
$false,
inference(mrr,[status(thm)],[21750,3]),
[iquote('0:MRR:21750.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN640-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n010.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 : Mon Jul 11 21:22:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.98/16.21
% 15.98/16.21 SPASS V 3.9
% 15.98/16.21 SPASS beiseite: Proof found.
% 15.98/16.21 % SZS status Theorem
% 15.98/16.21 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.98/16.21 SPASS derived 21526 clauses, backtracked 0 clauses, performed 0 splits and kept 12559 clauses.
% 15.98/16.21 SPASS allocated 88190 KBytes.
% 15.98/16.21 SPASS spent 0:0:15.78 on the problem.
% 15.98/16.21 0:00:00.04 for the input.
% 15.98/16.21 0:00:00.00 for the FLOTTER CNF translation.
% 15.98/16.21 0:00:00.20 for inferences.
% 15.98/16.21 0:00:00.00 for the backtracking.
% 15.98/16.21 0:0:15.42 for the reduction.
% 15.98/16.21
% 15.98/16.21
% 15.98/16.21 Here is a proof with depth 7, length 29 :
% 15.98/16.21 % SZS output start Refutation
% See solution above
% 15.98/16.21 Formulae used in the proof : p4_3 p2_5 not_p20_7 p2_9 p2_10 p19_12 p2_17 p2_18 p2_26 p19_28 p2_33 p2_34 p20_35
% 15.98/16.21
%------------------------------------------------------------------------------