TSTP Solution File: LCL182-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL182-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 : Sun Jul 17 14:35:10 EDT 2022
% Result : Unsatisfiable 14.09s 14.28s
% Output : Refutation 14.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 28 RR)
% Number of literals : 43 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ theorem(or__dfg(not__dfg(or__dfg(not__dfg(p),q)),or__dfg(not__dfg(not__dfg(q)),not__dfg(p)))),
file('LCL182-1.p',unknown),
[] ).
cnf(2,axiom,
axiom(or__dfg(not__dfg(or__dfg(u,u)),u)),
file('LCL182-1.p',unknown),
[] ).
cnf(3,axiom,
axiom(or__dfg(not__dfg(u),or__dfg(v,u))),
file('LCL182-1.p',unknown),
[] ).
cnf(4,axiom,
axiom(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(v,u))),
file('LCL182-1.p',unknown),
[] ).
cnf(5,axiom,
axiom(or__dfg(not__dfg(or__dfg(u,or__dfg(v,w))),or__dfg(v,or__dfg(u,w)))),
file('LCL182-1.p',unknown),
[] ).
cnf(6,axiom,
axiom(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(or__dfg(w,u)),or__dfg(w,v)))),
file('LCL182-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ axiom(u)
| theorem(u) ),
file('LCL182-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ theorem(u)
| ~ axiom(or__dfg(not__dfg(u),v))
| theorem(v) ),
file('LCL182-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ theorem(or__dfg(not__dfg(u),v))
| ~ axiom(or__dfg(not__dfg(w),u))
| theorem(or__dfg(not__dfg(w),v)) ),
file('LCL182-1.p',unknown),
[] ).
cnf(23,plain,
( ~ theorem(or__dfg(u,v))
| theorem(or__dfg(v,u)) ),
inference(res,[status(thm),theory(equality)],[4,8]),
[iquote('0:Res:4.0,8.1')] ).
cnf(27,plain,
( ~ axiom(or__dfg(u,v))
| theorem(or__dfg(v,u)) ),
inference(sor,[status(thm)],[23,7]),
[iquote('0:SoR:23.0,7.1')] ).
cnf(30,plain,
( ~ theorem(or__dfg(u,or__dfg(v,w)))
| theorem(or__dfg(v,or__dfg(u,w))) ),
inference(res,[status(thm),theory(equality)],[5,8]),
[iquote('0:Res:5.0,8.1')] ).
cnf(34,plain,
theorem(or__dfg(u,not__dfg(or__dfg(u,u)))),
inference(sor,[status(thm)],[27,2]),
[iquote('0:SoR:27.0,2.0')] ).
cnf(36,plain,
theorem(or__dfg(not__dfg(or__dfg(u,u)),u)),
inference(sor,[status(thm)],[23,34]),
[iquote('0:SoR:23.0,34.0')] ).
cnf(48,plain,
( ~ theorem(or__dfg(not__dfg(u),v))
| theorem(or__dfg(not__dfg(or__dfg(w,u)),or__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[6,8]),
[iquote('0:Res:6.0,8.1')] ).
cnf(59,plain,
( ~ axiom(or__dfg(not__dfg(u),v))
| ~ theorem(or__dfg(not__dfg(v),w))
| theorem(or__dfg(w,not__dfg(u))) ),
inference(sor,[status(thm)],[23,9]),
[iquote('0:SoR:23.0,9.2')] ).
cnf(108,plain,
theorem(or__dfg(not__dfg(or__dfg(u,or__dfg(v,v))),or__dfg(u,v))),
inference(sor,[status(thm)],[48,36]),
[iquote('0:SoR:48.0,36.0')] ).
cnf(280,plain,
( ~ theorem(or__dfg(not__dfg(or__dfg(u,v)),w))
| theorem(or__dfg(w,not__dfg(v))) ),
inference(res,[status(thm),theory(equality)],[3,59]),
[iquote('0:Res:3.0,59.0')] ).
cnf(281,plain,
( ~ theorem(or__dfg(not__dfg(or__dfg(u,v)),w))
| theorem(or__dfg(w,not__dfg(or__dfg(v,u)))) ),
inference(res,[status(thm),theory(equality)],[4,59]),
[iquote('0:Res:4.0,59.0')] ).
cnf(283,plain,
( ~ theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(u,w))),x))
| theorem(or__dfg(x,not__dfg(or__dfg(not__dfg(v),w)))) ),
inference(res,[status(thm),theory(equality)],[6,59]),
[iquote('0:Res:6.0,59.0')] ).
cnf(808,plain,
( ~ theorem(or__dfg(not__dfg(or__dfg(u,v)),w))
| theorem(or__dfg(not__dfg(or__dfg(v,u)),w)) ),
inference(sor,[status(thm)],[23,281]),
[iquote('0:SoR:23.0,281.1')] ).
cnf(1570,plain,
theorem(or__dfg(or__dfg(not__dfg(or__dfg(u,v)),u),not__dfg(or__dfg(not__dfg(v),u)))),
inference(res,[status(thm),theory(equality)],[108,283]),
[iquote('0:Res:108.0,283.0')] ).
cnf(10295,plain,
theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(or__dfg(v,u)),v))),
inference(sor,[status(thm)],[23,1570]),
[iquote('0:SoR:23.0,1570.0')] ).
cnf(14307,plain,
theorem(or__dfg(not__dfg(or__dfg(u,not__dfg(v))),or__dfg(not__dfg(or__dfg(u,v)),u))),
inference(res,[status(thm),theory(equality)],[10295,808]),
[iquote('0:Res:10295.0,808.0')] ).
cnf(16971,plain,
theorem(or__dfg(or__dfg(not__dfg(or__dfg(u,v)),u),not__dfg(not__dfg(v)))),
inference(res,[status(thm),theory(equality)],[14307,280]),
[iquote('0:Res:14307.0,280.0')] ).
cnf(16975,plain,
theorem(or__dfg(not__dfg(not__dfg(u)),or__dfg(not__dfg(or__dfg(v,u)),v))),
inference(sor,[status(thm)],[23,16971]),
[iquote('0:SoR:23.0,16971.0')] ).
cnf(17016,plain,
theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(not__dfg(not__dfg(v)),u))),
inference(sor,[status(thm)],[30,16975]),
[iquote('0:SoR:30.0,16975.0')] ).
cnf(17032,plain,
$false,
inference(unc,[status(thm)],[17016,1]),
[iquote('0:UnC:17016.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 17:42:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 14.09/14.28
% 14.09/14.28 SPASS V 3.9
% 14.09/14.28 SPASS beiseite: Proof found.
% 14.09/14.28 % SZS status Theorem
% 14.09/14.28 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.09/14.28 SPASS derived 17008 clauses, backtracked 0 clauses, performed 0 splits and kept 10020 clauses.
% 14.09/14.28 SPASS allocated 102442 KBytes.
% 14.09/14.28 SPASS spent 0:0:13.54 on the problem.
% 14.09/14.28 0:00:00.04 for the input.
% 14.09/14.28 0:00:00.00 for the FLOTTER CNF translation.
% 14.09/14.28 0:00:00.37 for inferences.
% 14.09/14.28 0:00:00.00 for the backtracking.
% 14.09/14.28 0:0:12.94 for the reduction.
% 14.09/14.28
% 14.09/14.28
% 14.09/14.28 Here is a proof with depth 11, length 28 :
% 14.09/14.28 % SZS output start Refutation
% See solution above
% 14.09/14.28 Formulae used in the proof : prove_this axiom_1_2 axiom_1_3 axiom_1_4 axiom_1_5 axiom_1_6 rule_1 rule_2 rule_3
% 14.09/14.28
%------------------------------------------------------------------------------