TSTP Solution File: SYN637-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 139.63s 139.82s
% Output : Refutation 139.63s
% 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('SYN637-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ p4(u,v)
| p4(f16(u),f16(v)) ),
file('SYN637-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN637-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p22(u,v)
| ~ p4(v,w)
| ~ p4(u,x)
| p22(x,w) ),
file('SYN637-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ p4(u,v)
| ~ p4(w,x)
| p4(f17(w,u),f17(x,v)) ),
file('SYN637-1.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('SYN637-1.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('SYN637-1.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('SYN637-1.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(1482,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)],[353,1482]),
[iquote('0:Res:353.0,1482.0')] ).
cnf(29480,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(29481,plain,
$false,
inference(mrr,[status(thm)],[29480,4]),
[iquote('0:MRR:29480.0,29480.1,4.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 20:56:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 139.63/139.82
% 139.63/139.82 SPASS V 3.9
% 139.63/139.82 SPASS beiseite: Proof found.
% 139.63/139.82 % SZS status Theorem
% 139.63/139.82 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 139.63/139.82 SPASS derived 29426 clauses, backtracked 0 clauses, performed 0 splits and kept 14174 clauses.
% 139.63/139.82 SPASS allocated 86909 KBytes.
% 139.63/139.82 SPASS spent 0:2:18.09 on the problem.
% 139.63/139.82 0:00:00.04 for the input.
% 139.63/139.82 0:00:00.00 for the FLOTTER CNF translation.
% 139.63/139.82 0:00:00.46 for inferences.
% 139.63/139.82 0:00:00.00 for the backtracking.
% 139.63/139.82 0:2:17.02 for the reduction.
% 139.63/139.82
% 139.63/139.82
% 139.63/139.82 Here is a proof with depth 5, length 17 :
% 139.63/139.82 % SZS output start Refutation
% See solution above
% 139.63/139.82 Formulae used in the proof : p4_4 p4_12 p4_22 p22_28 p4_32 p4_39 p22_40 not_p22_41
% 139.63/139.82
%------------------------------------------------------------------------------