TSTP Solution File: SYN558-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN558-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:22:52 EDT 2022
% Result : Unsatisfiable 1.23s 1.40s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 13 unt; 0 nHn; 42 RR)
% Number of literals : 97 ( 0 equ; 59 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN558-1.p',unknown),
[] ).
cnf(2,axiom,
p4(u,u),
file('SYN558-1.p',unknown),
[] ).
cnf(3,axiom,
p6(c7,f3(u)),
file('SYN558-1.p',unknown),
[] ).
cnf(4,axiom,
p5(c7,c10,c9),
file('SYN558-1.p',unknown),
[] ).
cnf(5,axiom,
p5(c7,c10,c8),
file('SYN558-1.p',unknown),
[] ).
cnf(6,axiom,
p5(c7,u,f3(u)),
file('SYN558-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p5(c7,c9,u)
| ~ p5(c7,c8,u) ),
file('SYN558-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN558-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p5(u,v,w)
| ~ p5(u,x,v)
| p5(u,x,w) ),
file('SYN558-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ p6(c7,u)
| ~ p6(c7,v)
| ~ p5(c7,w,u)
| ~ p5(c7,w,v)
| p2(u,v) ),
file('SYN558-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p4(u,v)
| ~ p2(w,x)
| ~ p2(y,z)
| ~ p5(u,y,w)
| p5(v,z,x) ),
file('SYN558-1.p',unknown),
[] ).
cnf(18,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(26,plain,
( ~ p5(c7,u,v)
| p5(c7,u,f3(v)) ),
inference(res,[status(thm),theory(equality)],[6,11]),
[iquote('0:Res:6.0,11.0')] ).
cnf(29,plain,
( ~ p5(c7,u,v)
| ~ p5(c7,w,u)
| p5(c7,w,f3(v)) ),
inference(res,[status(thm),theory(equality)],[26,11]),
[iquote('0:Res:26.1,11.0')] ).
cnf(39,plain,
( ~ p6(c7,f3(u))
| ~ p6(c7,v)
| ~ p5(c7,u,v)
| p2(f3(u),v) ),
inference(res,[status(thm),theory(equality)],[6,13]),
[iquote('0:Res:6.0,13.2')] ).
cnf(40,plain,
( ~ p5(c7,u,v)
| ~ p6(c7,f3(v))
| ~ p6(c7,w)
| ~ p5(c7,u,w)
| p2(f3(v),w) ),
inference(res,[status(thm),theory(equality)],[26,13]),
[iquote('0:Res:26.1,13.2')] ).
cnf(41,plain,
( ~ p6(c7,u)
| ~ p5(c7,v,u)
| p2(f3(v),u) ),
inference(mrr,[status(thm)],[39,3]),
[iquote('0:MRR:39.0,3.0')] ).
cnf(42,plain,
( ~ p5(c7,u,v)
| ~ p6(c7,w)
| ~ p5(c7,u,w)
| p2(f3(v),w) ),
inference(mrr,[status(thm)],[40,3]),
[iquote('0:MRR:40.1,3.0')] ).
cnf(47,plain,
( ~ p5(c7,u,v)
| ~ p6(c7,f3(v))
| p2(f3(u),f3(v)) ),
inference(res,[status(thm),theory(equality)],[26,41]),
[iquote('0:Res:26.1,41.1')] ).
cnf(48,plain,
( ~ p5(c7,u,v)
| p2(f3(u),f3(v)) ),
inference(mrr,[status(thm)],[47,3]),
[iquote('0:MRR:47.1,3.0')] ).
cnf(57,plain,
( ~ p4(c7,u)
| ~ p2(f3(v),w)
| ~ p2(v,x)
| p5(u,x,w) ),
inference(res,[status(thm),theory(equality)],[6,14]),
[iquote('0:Res:6.0,14.3')] ).
cnf(254,plain,
( ~ p4(c7,u)
| ~ p2(v,w)
| p5(u,w,f3(v)) ),
inference(res,[status(thm),theory(equality)],[1,57]),
[iquote('0:Res:1.0,57.1')] ).
cnf(432,plain,
( ~ p4(c7,u)
| ~ p2(v,w)
| ~ p5(u,x,w)
| p5(u,x,f3(v)) ),
inference(res,[status(thm),theory(equality)],[254,11]),
[iquote('0:Res:254.2,11.0')] ).
cnf(465,plain,
( ~ p5(c7,u,v)
| p5(c7,u,f3(f3(v))) ),
inference(res,[status(thm),theory(equality)],[6,29]),
[iquote('0:Res:6.0,29.0')] ).
cnf(587,plain,
( ~ p6(c7,u)
| ~ p5(c7,c10,u)
| p2(f3(c8),u) ),
inference(res,[status(thm),theory(equality)],[5,42]),
[iquote('0:Res:5.0,42.0')] ).
cnf(588,plain,
( ~ p6(c7,u)
| ~ p5(c7,c10,u)
| p2(f3(c9),u) ),
inference(res,[status(thm),theory(equality)],[4,42]),
[iquote('0:Res:4.0,42.0')] ).
cnf(661,plain,
( ~ p5(c7,c9,u)
| ~ p5(c7,c8,f3(f3(u))) ),
inference(res,[status(thm),theory(equality)],[465,8]),
[iquote('0:Res:465.1,8.0')] ).
cnf(745,plain,
( ~ p6(c7,f3(c10))
| p2(f3(c8),f3(c10)) ),
inference(res,[status(thm),theory(equality)],[6,587]),
[iquote('0:Res:6.0,587.1')] ).
cnf(757,plain,
p2(f3(c8),f3(c10)),
inference(mrr,[status(thm)],[745,3]),
[iquote('0:MRR:745.0,3.0')] ).
cnf(767,plain,
p2(f3(c10),f3(c8)),
inference(res,[status(thm),theory(equality)],[757,18]),
[iquote('0:Res:757.0,18.0')] ).
cnf(801,plain,
( ~ p2(f3(c10),u)
| p2(u,f3(c8)) ),
inference(res,[status(thm),theory(equality)],[767,9]),
[iquote('0:Res:767.0,9.0')] ).
cnf(968,plain,
( ~ p6(c7,f3(c10))
| p2(f3(c9),f3(c10)) ),
inference(res,[status(thm),theory(equality)],[6,588]),
[iquote('0:Res:6.0,588.1')] ).
cnf(980,plain,
p2(f3(c9),f3(c10)),
inference(mrr,[status(thm)],[968,3]),
[iquote('0:MRR:968.0,3.0')] ).
cnf(989,plain,
p2(f3(c10),f3(c9)),
inference(res,[status(thm),theory(equality)],[980,18]),
[iquote('0:Res:980.0,18.0')] ).
cnf(1000,plain,
p2(f3(c9),f3(c8)),
inference(res,[status(thm),theory(equality)],[989,801]),
[iquote('0:Res:989.0,801.0')] ).
cnf(1005,plain,
( ~ p2(f3(c9),u)
| p2(u,f3(c8)) ),
inference(res,[status(thm),theory(equality)],[1000,9]),
[iquote('0:Res:1000.0,9.0')] ).
cnf(1176,plain,
( ~ p5(c7,c9,u)
| p2(f3(u),f3(c8)) ),
inference(res,[status(thm),theory(equality)],[48,1005]),
[iquote('0:Res:48.1,1005.0')] ).
cnf(4002,plain,
( ~ p4(c7,c7)
| ~ p2(u,f3(v))
| p5(c7,v,f3(u)) ),
inference(res,[status(thm),theory(equality)],[6,432]),
[iquote('0:Res:6.0,432.2')] ).
cnf(4024,plain,
( ~ p2(u,f3(v))
| p5(c7,v,f3(u)) ),
inference(mrr,[status(thm)],[4002,2]),
[iquote('0:MRR:4002.0,2.0')] ).
cnf(4153,plain,
( ~ p2(f3(u),f3(c8))
| ~ p5(c7,c9,u) ),
inference(res,[status(thm),theory(equality)],[4024,661]),
[iquote('0:Res:4024.1,661.1')] ).
cnf(4167,plain,
~ p5(c7,c9,u),
inference(mrr,[status(thm)],[4153,1176]),
[iquote('0:MRR:4153.0,1176.1')] ).
cnf(4168,plain,
$false,
inference(unc,[status(thm)],[4167,6]),
[iquote('0:UnC:4167.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN558-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 11:42:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.23/1.40
% 1.23/1.40 SPASS V 3.9
% 1.23/1.40 SPASS beiseite: Proof found.
% 1.23/1.40 % SZS status Theorem
% 1.23/1.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.23/1.40 SPASS derived 3837 clauses, backtracked 0 clauses, performed 0 splits and kept 2371 clauses.
% 1.23/1.40 SPASS allocated 65647 KBytes.
% 1.23/1.40 SPASS spent 0:00:01.03 on the problem.
% 1.23/1.40 0:00:00.03 for the input.
% 1.23/1.40 0:00:00.00 for the FLOTTER CNF translation.
% 1.23/1.40 0:00:00.04 for inferences.
% 1.23/1.40 0:00:00.00 for the backtracking.
% 1.23/1.40 0:00:00.93 for the reduction.
% 1.23/1.40
% 1.23/1.40
% 1.23/1.40 Here is a proof with depth 9, length 42 :
% 1.23/1.40 % SZS output start Refutation
% See solution above
% 1.23/1.40 Formulae used in the proof : p2_1 p4_2 p6_3 p5_4 p5_5 p5_6 not_p5_8 p2_9 p5_11 p2_13 p5_14
% 1.23/1.40
%------------------------------------------------------------------------------