TSTP Solution File: LCL034-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 14:34:10 EDT 2022
% Result : Unsatisfiable 0.97s 1.15s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of clauses : 56 ( 36 unt; 0 nHn; 56 RR)
% Number of literals : 77 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(u)
| ~ is_a_theorem(implies__dfg(u,v))
| is_a_theorem(v) ),
file('LCL034-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,falsehood)),x),y),implies__dfg(implies__dfg(y,u),implies__dfg(w,u)))),
file('LCL034-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(a,b),a),a)),
file('LCL034-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,falsehood)),x),y))
| is_a_theorem(implies__dfg(implies__dfg(y,u),implies__dfg(w,u))) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.0,1.1')] ).
cnf(8,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(v,x)),implies__dfg(y,implies__dfg(v,x)))),
inference(sor,[status(thm)],[7,2]),
[iquote('0:SoR:7.0,2.0')] ).
cnf(9,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(falsehood,v)),w),implies__dfg(x,w))),
inference(sor,[status(thm)],[7,8]),
[iquote('0:SoR:7.0,8.0')] ).
cnf(10,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,v)),implies__dfg(v,x)))
| is_a_theorem(implies__dfg(y,implies__dfg(v,x))) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.1')] ).
cnf(11,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(falsehood,w))),
inference(sor,[status(thm)],[7,9]),
[iquote('0:SoR:7.0,9.0')] ).
cnf(12,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(falsehood,v)),w))
| is_a_theorem(implies__dfg(x,w)) ),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.0,1.1')] ).
cnf(13,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(falsehood,u),v),implies__dfg(w,v))),
inference(sor,[status(thm)],[7,11]),
[iquote('0:SoR:7.0,11.0')] ).
cnf(14,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),w))
| is_a_theorem(implies__dfg(falsehood,w)) ),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.1')] ).
cnf(16,plain,
is_a_theorem(implies__dfg(falsehood,implies__dfg(u,v))),
inference(sor,[status(thm)],[14,13]),
[iquote('0:SoR:14.0,13.0')] ).
cnf(21,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(w,v)))),
inference(sor,[status(thm)],[10,13]),
[iquote('0:SoR:10.0,13.0')] ).
cnf(29,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[21,1]),
[iquote('0:Res:21.0,1.1')] ).
cnf(30,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,u))),
inference(ems,[status(thm)],[29,16]),
[iquote('0:EmS:29.0,16.0')] ).
cnf(38,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(falsehood,w)))),
inference(sor,[status(thm)],[12,13]),
[iquote('0:SoR:12.0,13.0')] ).
cnf(42,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(falsehood,v),w),implies__dfg(x,w)))),
inference(sor,[status(thm)],[12,2]),
[iquote('0:SoR:12.0,2.0')] ).
cnf(43,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),implies__dfg(x,falsehood)),y)),v),implies__dfg(x,v))),
inference(sor,[status(thm)],[7,30]),
[iquote('0:SoR:7.0,30.0')] ).
cnf(58,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(falsehood,w))) ),
inference(res,[status(thm),theory(equality)],[38,1]),
[iquote('0:Res:38.0,1.1')] ).
cnf(59,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(falsehood,u),v),implies__dfg(w,v)),x),implies__dfg(y,x))),
inference(sor,[status(thm)],[7,42]),
[iquote('0:SoR:7.0,42.0')] ).
cnf(65,plain,
is_a_theorem(implies__dfg(u,implies__dfg(falsehood,v))),
inference(ems,[status(thm)],[58,42]),
[iquote('0:EmS:58.0,42.0')] ).
cnf(79,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(falsehood,v)) ),
inference(res,[status(thm),theory(equality)],[65,1]),
[iquote('0:Res:65.0,1.1')] ).
cnf(81,plain,
is_a_theorem(implies__dfg(falsehood,u)),
inference(ems,[status(thm)],[79,65]),
[iquote('0:EmS:79.0,65.0')] ).
cnf(126,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(falsehood,u),v),implies__dfg(w,v)),x))
| is_a_theorem(implies__dfg(y,x)) ),
inference(res,[status(thm),theory(equality)],[59,1]),
[iquote('0:Res:59.0,1.1')] ).
cnf(335,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(implies__dfg(implies__dfg(v,x),implies__dfg(u,falsehood)),w))),
inference(sor,[status(thm)],[7,43]),
[iquote('0:SoR:7.0,43.0')] ).
cnf(496,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),w))
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(v,x),implies__dfg(u,falsehood)),w)) ),
inference(res,[status(thm),theory(equality)],[335,1]),
[iquote('0:Res:335.0,1.1')] ).
cnf(1122,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(implies__dfg(falsehood,w),falsehood)),implies__dfg(x,u))),
inference(sor,[status(thm)],[496,13]),
[iquote('0:SoR:496.0,13.0')] ).
cnf(1126,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,implies__dfg(v,w)),v),implies__dfg(x,v))),
inference(sor,[status(thm)],[7,1122]),
[iquote('0:SoR:7.0,1122.0')] ).
cnf(1137,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),w),implies__dfg(v,w))),
inference(sor,[status(thm)],[7,1126]),
[iquote('0:SoR:7.0,1126.0')] ).
cnf(1150,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,falsehood),v),w),implies__dfg(u,w))),
inference(sor,[status(thm)],[7,1137]),
[iquote('0:SoR:7.0,1137.0')] ).
cnf(1382,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),implies__dfg(w,u))),
inference(sor,[status(thm)],[7,1150]),
[iquote('0:SoR:7.0,1150.0')] ).
cnf(1401,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,falsehood),v),w))
| is_a_theorem(implies__dfg(u,w)) ),
inference(res,[status(thm),theory(equality)],[1150,1]),
[iquote('0:Res:1150.0,1.1')] ).
cnf(1418,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),u))
| is_a_theorem(implies__dfg(w,u)) ),
inference(res,[status(thm),theory(equality)],[1382,1]),
[iquote('0:Res:1382.0,1.1')] ).
cnf(1444,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,v))),
inference(sor,[status(thm)],[1418,1382]),
[iquote('0:SoR:1418.0,1382.0')] ).
cnf(1483,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,u),v),implies__dfg(w,v))),
inference(sor,[status(thm)],[7,1444]),
[iquote('0:SoR:7.0,1444.0')] ).
cnf(1507,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,v)) ),
inference(res,[status(thm),theory(equality)],[1444,1]),
[iquote('0:Res:1444.0,1.1')] ).
cnf(1508,plain,
is_a_theorem(implies__dfg(u,u)),
inference(ems,[status(thm)],[1507,81]),
[iquote('0:EmS:1507.0,81.0')] ).
cnf(1581,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),implies__dfg(w,falsehood)),implies__dfg(w,u))),
inference(sor,[status(thm)],[496,1508]),
[iquote('0:SoR:496.0,1508.0')] ).
cnf(1693,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,u),v))
| is_a_theorem(implies__dfg(w,v)) ),
inference(res,[status(thm),theory(equality)],[1483,1]),
[iquote('0:Res:1483.0,1.1')] ).
cnf(1729,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(v,falsehood),w)))),
inference(sor,[status(thm)],[1693,1150]),
[iquote('0:SoR:1693.0,1150.0')] ).
cnf(1852,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(v,falsehood),w))) ),
inference(res,[status(thm),theory(equality)],[1729,1]),
[iquote('0:Res:1729.0,1.1')] ).
cnf(1853,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(u,falsehood),v))),
inference(ems,[status(thm)],[1852,1508]),
[iquote('0:EmS:1852.0,1508.0')] ).
cnf(2540,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(u,v),implies__dfg(w,falsehood)))
| is_a_theorem(implies__dfg(w,u)) ),
inference(res,[status(thm),theory(equality)],[1581,1]),
[iquote('0:Res:1581.0,1.1')] ).
cnf(3558,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,falsehood),v),falsehood),w))),
inference(sor,[status(thm)],[1401,1853]),
[iquote('0:SoR:1401.0,1853.0')] ).
cnf(4010,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(implies__dfg(implies__dfg(u,v),falsehood),w),falsehood),u)),
inference(sor,[status(thm)],[2540,3558]),
[iquote('0:SoR:2540.0,3558.0')] ).
cnf(4165,plain,
is_a_theorem(implies__dfg(implies__dfg(u,implies__dfg(u,v)),implies__dfg(w,implies__dfg(u,v)))),
inference(sor,[status(thm)],[7,4010]),
[iquote('0:SoR:7.0,4010.0')] ).
cnf(4235,plain,
is_a_theorem(implies__dfg(u,implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(falsehood,w),x),x)))),
inference(sor,[status(thm)],[126,4165]),
[iquote('0:SoR:126.0,4165.0')] ).
cnf(4258,plain,
( ~ is_a_theorem(implies__dfg(u,implies__dfg(u,v)))
| is_a_theorem(implies__dfg(w,implies__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[4165,1]),
[iquote('0:Res:4165.0,1.1')] ).
cnf(4290,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(v,implies__dfg(implies__dfg(implies__dfg(falsehood,w),x),x))) ),
inference(res,[status(thm),theory(equality)],[4235,1]),
[iquote('0:Res:4235.0,1.1')] ).
cnf(4579,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(falsehood,v),w),w))),
inference(ems,[status(thm)],[4290,1508]),
[iquote('0:EmS:4290.0,1508.0')] ).
cnf(4745,plain,
( ~ is_a_theorem(u)
| is_a_theorem(implies__dfg(implies__dfg(implies__dfg(falsehood,v),w),w)) ),
inference(res,[status(thm),theory(equality)],[4579,1]),
[iquote('0:Res:4579.0,1.1')] ).
cnf(4765,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(falsehood,u),v),v)),
inference(ems,[status(thm)],[4745,1508]),
[iquote('0:EmS:4745.0,1508.0')] ).
cnf(4931,plain,
( ~ is_a_theorem(implies__dfg(implies__dfg(falsehood,u),v))
| is_a_theorem(v) ),
inference(res,[status(thm),theory(equality)],[4765,1]),
[iquote('0:Res:4765.0,1.1')] ).
cnf(6185,plain,
is_a_theorem(implies__dfg(u,implies__dfg(implies__dfg(implies__dfg(v,w),v),v))),
inference(sor,[status(thm)],[4258,1382]),
[iquote('0:SoR:4258.0,1382.0')] ).
cnf(6527,plain,
is_a_theorem(implies__dfg(implies__dfg(implies__dfg(u,v),u),u)),
inference(sor,[status(thm)],[4931,6185]),
[iquote('0:SoR:4931.0,6185.0')] ).
cnf(6567,plain,
$false,
inference(unc,[status(thm)],[6527,3]),
[iquote('0:UnC:6527.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : Sun Jul 3 22:43:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.97/1.15
% 0.97/1.15 SPASS V 3.9
% 0.97/1.15 SPASS beiseite: Proof found.
% 0.97/1.15 % SZS status Theorem
% 0.97/1.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.15 SPASS derived 6459 clauses, backtracked 0 clauses, performed 0 splits and kept 932 clauses.
% 0.97/1.15 SPASS allocated 80910 KBytes.
% 0.97/1.15 SPASS spent 0:00:00.76 on the problem.
% 0.97/1.15 0:00:00.04 for the input.
% 0.97/1.15 0:00:00.00 for the FLOTTER CNF translation.
% 0.97/1.15 0:00:00.12 for inferences.
% 0.97/1.15 0:00:00.00 for the backtracking.
% 0.97/1.15 0:00:00.57 for the reduction.
% 0.97/1.15
% 0.97/1.15
% 0.97/1.15 Here is a proof with depth 33, length 56 :
% 0.97/1.15 % SZS output start Refutation
% See solution above
% 0.97/1.15 Formulae used in the proof : condensed_detachment c0_CAMerideth prove_c0_3
% 0.97/1.15
%------------------------------------------------------------------------------