TSTP Solution File: SYN638-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 12:23:22 EDT 2022
% Result : Unsatisfiable 126.83s 127.04s
% Output : Refutation 126.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 6 unt; 0 nHn; 17 RR)
% Number of literals : 38 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
p4(u,u),
file('SYN638-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ p4(u,v)
| p4(f16(u),f16(v)) ),
file('SYN638-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN638-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p22(u,v)
| ~ p4(v,w)
| ~ p4(u,x)
| p22(x,w) ),
file('SYN638-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ p4(u,v)
| ~ p4(w,x)
| p4(f17(w,u),f17(x,v)) ),
file('SYN638-1.p',unknown),
[] ).
cnf(39,axiom,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),u,c27),f5(f8(f11(c25),f9(f10(c25),c28)),u,c29)),
file('SYN638-1.p',unknown),
[] ).
cnf(40,axiom,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('SYN638-1.p',unknown),
[] ).
cnf(41,axiom,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('SYN638-1.p',unknown),
[] ).
cnf(54,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[4,22]),
[iquote('0:Res:4.0,22.0')] ).
cnf(102,plain,
( ~ p4(u,v)
| ~ p4(w,x)
| p4(f17(x,v),f17(w,u)) ),
inference(res,[status(thm),theory(equality)],[32,54]),
[iquote('0:Res:32.2,54.0')] ).
cnf(295,plain,
( ~ p4(f16(f17(c27,f5(c25,c26,c27))),u)
| ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),v)
| p22(v,u) ),
inference(res,[status(thm),theory(equality)],[40,28]),
[iquote('0:Res:40.0,28.0')] ).
cnf(353,plain,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),u,c29),f5(f8(f11(c25),f9(f10(c25),c28)),u,c27)),
inference(res,[status(thm),theory(equality)],[39,54]),
[iquote('0:Res:39.0,54.0')] ).
cnf(688,plain,
( ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),u)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),v)
| p22(f16(u),v) ),
inference(res,[status(thm),theory(equality)],[12,295]),
[iquote('0:Res:12.1,295.1')] ).
cnf(1488,plain,
( ~ p4(u,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))
| ~ p4(v,c27)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),w)
| p22(f16(f17(v,u)),w) ),
inference(res,[status(thm),theory(equality)],[102,688]),
[iquote('0:Res:102.2,688.0')] ).
cnf(4857,plain,
( ~ p4(u,c27)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),v)
| p22(f16(f17(u,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),v) ),
inference(res,[status(thm),theory(equality)],[353,1488]),
[iquote('0:Res:353.0,1488.0')] ).
cnf(30141,plain,
( ~ p4(c27,c27)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(res,[status(thm),theory(equality)],[4857,41]),
[iquote('0:Res:4857.2,41.0')] ).
cnf(30142,plain,
$false,
inference(mrr,[status(thm)],[30141,4]),
[iquote('0:MRR:30141.0,30141.1,4.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jul 12 01:24:43 EDT 2022
% 0.14/0.33 % CPUTime :
% 126.83/127.04
% 126.83/127.04 SPASS V 3.9
% 126.83/127.04 SPASS beiseite: Proof found.
% 126.83/127.04 % SZS status Theorem
% 126.83/127.04 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.83/127.04 SPASS derived 30087 clauses, backtracked 0 clauses, performed 0 splits and kept 14402 clauses.
% 126.83/127.04 SPASS allocated 87299 KBytes.
% 126.83/127.04 SPASS spent 0:02:05.21 on the problem.
% 126.83/127.04 0:00:00.04 for the input.
% 126.83/127.04 0:00:00.00 for the FLOTTER CNF translation.
% 126.83/127.04 0:00:00.45 for inferences.
% 126.83/127.04 0:00:00.00 for the backtracking.
% 126.83/127.04 0:02:04.19 for the reduction.
% 126.83/127.04
% 126.83/127.04
% 126.83/127.04 Here is a proof with depth 5, length 17 :
% 126.83/127.04 % SZS output start Refutation
% See solution above
% 126.83/127.04 Formulae used in the proof : p4_4 p4_12 p4_22 p22_28 p4_32 p4_39 p22_40 not_p22_41
% 126.83/127.04
%------------------------------------------------------------------------------