TSTP Solution File: SYN575-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 12:22:58 EDT 2022
% Result : Unsatisfiable 0.47s 0.67s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 12 unt; 5 nHn; 31 RR)
% Number of literals : 69 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p7(u,u),
file('SYN575-1.p',unknown),
[] ).
cnf(3,axiom,
p3(u,u),
file('SYN575-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN575-1.p',unknown),
[] ).
cnf(5,axiom,
p9(c12,c13),
file('SYN575-1.p',unknown),
[] ).
cnf(6,axiom,
p11(c14,c15),
file('SYN575-1.p',unknown),
[] ).
cnf(8,axiom,
p3(f6(f5(u)),f6(u)),
file('SYN575-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p9(u,f6(c14))
| p9(u,c13) ),
file('SYN575-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ p9(u,c13)
| p9(u,f6(c14)) ),
file('SYN575-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN575-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p3(u,v)
| ~ p9(w,u)
| ~ p7(w,x)
| p9(x,v) ),
file('SYN575-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ p11(u,c15)
| ~ p2(v,f5(u))
| ~ p9(c12,w)
| p9(f8(w,v),w)
| p9(f8(w,v),f6(v)) ),
file('SYN575-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p11(u,c15)
| ~ p2(v,f5(u))
| ~ p9(c12,w)
| ~ p9(f8(w,v),w)
| ~ p9(f8(w,v),f6(v)) ),
file('SYN575-1.p',unknown),
[] ).
cnf(28,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.0')] ).
cnf(34,plain,
p3(f6(u),f6(f5(u))),
inference(res,[status(thm),theory(equality)],[8,28]),
[iquote('0:Res:8.0,28.0')] ).
cnf(75,plain,
( ~ p9(u,v)
| ~ p7(u,w)
| p9(w,v) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.0')] ).
cnf(76,plain,
( ~ p9(u,f6(f5(v)))
| ~ p7(u,w)
| p9(w,f6(v)) ),
inference(res,[status(thm),theory(equality)],[8,19]),
[iquote('0:Res:8.0,19.0')] ).
cnf(82,plain,
( ~ p9(u,f6(v))
| ~ p7(u,w)
| p9(w,f6(f5(v))) ),
inference(res,[status(thm),theory(equality)],[34,19]),
[iquote('0:Res:34.0,19.0')] ).
cnf(106,plain,
( ~ p11(u,c15)
| ~ p9(c12,v)
| p9(f8(v,f5(u)),v)
| p9(f8(v,f5(u)),f6(f5(u))) ),
inference(res,[status(thm),theory(equality)],[4,21]),
[iquote('0:Res:4.0,21.1')] ).
cnf(164,plain,
( ~ p9(u,c13)
| ~ p7(u,v)
| p9(v,f6(c14)) ),
inference(res,[status(thm),theory(equality)],[10,75]),
[iquote('0:Res:10.1,75.0')] ).
cnf(435,plain,
( ~ p9(c12,u)
| p9(f8(u,f5(c14)),u)
| p9(f8(u,f5(c14)),f6(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[6,106]),
[iquote('0:Res:6.0,106.0')] ).
cnf(732,plain,
( p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f6(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[5,435]),
[iquote('0:Res:5.0,435.0')] ).
cnf(1382,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(f8(c13,f5(c14)),c13)
| p9(u,f6(c14)) ),
inference(res,[status(thm),theory(equality)],[732,76]),
[iquote('0:Res:732.1,76.0')] ).
cnf(1386,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(u,f6(c14)) ),
inference(mrr,[status(thm)],[1382,164]),
[iquote('0:MRR:1382.1,164.0')] ).
cnf(1387,plain,
p9(f8(c13,f5(c14)),f6(c14)),
inference(res,[status(thm),theory(equality)],[2,1386]),
[iquote('0:Res:2.0,1386.0')] ).
cnf(1390,plain,
p9(f8(c13,f5(c14)),c13),
inference(res,[status(thm),theory(equality)],[1387,9]),
[iquote('0:Res:1387.0,9.0')] ).
cnf(1401,plain,
( ~ p7(f8(c13,f5(c14)),u)
| p9(u,f6(f5(c14))) ),
inference(res,[status(thm),theory(equality)],[1387,82]),
[iquote('0:Res:1387.0,82.0')] ).
cnf(1403,plain,
p9(f8(c13,f5(c14)),f6(f5(c14))),
inference(res,[status(thm),theory(equality)],[2,1401]),
[iquote('0:Res:2.0,1401.0')] ).
cnf(1407,plain,
( ~ p11(u,c15)
| ~ p2(f5(c14),f5(u))
| ~ p9(c12,c13)
| ~ p9(f8(c13,f5(c14)),c13) ),
inference(res,[status(thm),theory(equality)],[1403,22]),
[iquote('0:Res:1403.0,22.4')] ).
cnf(1411,plain,
( ~ p11(u,c15)
| ~ p2(f5(c14),f5(u)) ),
inference(mrr,[status(thm)],[1407,5,1390]),
[iquote('0:MRR:1407.2,1407.3,5.0,1390.0')] ).
cnf(1412,plain,
~ p11(c14,c15),
inference(res,[status(thm),theory(equality)],[4,1411]),
[iquote('0:Res:4.0,1411.1')] ).
cnf(1415,plain,
$false,
inference(mrr,[status(thm)],[1412,6]),
[iquote('0:MRR:1412.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.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 : Mon Jul 11 23:18:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.67
% 0.47/0.67 SPASS V 3.9
% 0.47/0.67 SPASS beiseite: Proof found.
% 0.47/0.67 % SZS status Theorem
% 0.47/0.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.67 SPASS derived 1386 clauses, backtracked 0 clauses, performed 0 splits and kept 933 clauses.
% 0.47/0.67 SPASS allocated 64038 KBytes.
% 0.47/0.67 SPASS spent 0:00:00.31 on the problem.
% 0.47/0.67 0:00:00.04 for the input.
% 0.47/0.67 0:00:00.00 for the FLOTTER CNF translation.
% 0.47/0.67 0:00:00.02 for inferences.
% 0.47/0.67 0:00:00.00 for the backtracking.
% 0.47/0.67 0:00:00.23 for the reduction.
% 0.47/0.67
% 0.47/0.67
% 0.47/0.67 Here is a proof with depth 9, length 31 :
% 0.47/0.67 % SZS output start Refutation
% See solution above
% 0.47/0.67 Formulae used in the proof : p7_2 p3_3 p2_4 p9_5 p11_6 p3_8 p9_9 p9_10 p3_16 p9_19 p9_21 not_p11_22
% 0.47/0.67
%------------------------------------------------------------------------------