TSTP Solution File: LCL897+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : Sun Jul 17 14:40:49 EDT 2022
% Result : Theorem 19.94s 20.14s
% Output : Refutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 20 RR)
% Number of literals : 20 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(a43_(u,v),a43_(v,u)),
file('LCL897+1.p',unknown),
[] ).
cnf(6,axiom,
equal(a43_(a43_(u,v),w),a43_(u,a43_(v,w))),
file('LCL897+1.p',unknown),
[] ).
cnf(7,axiom,
equal(a61__a61__a62_(a43_(u,v),w),a61__a61__a62_(u,a61__a61__a62_(v,w))),
file('LCL897+1.p',unknown),
[] ).
cnf(8,axiom,
equal(a43_(u,a61__a61__a62_(u,v)),a43_(v,a61__a61__a62_(v,u))),
file('LCL897+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(a43_(a43_(a,a61__a61__a62_(a,b)),a61__a61__a62_(a43_(a,a61__a61__a62_(a,b)),c)),a43_(a,a61__a61__a62_(a,a43_(b,a61__a61__a62_(b,c))))),
file('LCL897+1.p',unknown),
[] ).
cnf(10,plain,
~ equal(a43_(a,a43_(a61__a61__a62_(a,b),a61__a61__a62_(a,a61__a61__a62_(a61__a61__a62_(a,b),c)))),a43_(a,a61__a61__a62_(a,a43_(b,a61__a61__a62_(b,c))))),
inference(rew,[status(thm),theory(equality)],[6,9,7]),
[iquote('0:Rew:6.0,9.0,7.0,9.0')] ).
cnf(49,plain,
equal(a43_(a43_(u,v),a61__a61__a62_(u,a61__a61__a62_(v,w))),a43_(w,a61__a61__a62_(w,a43_(u,v)))),
inference(spr,[status(thm),theory(equality)],[7,8]),
[iquote('0:SpR:7.0,8.0')] ).
cnf(54,plain,
equal(a61__a61__a62_(a43_(u,v),w),a61__a61__a62_(v,a61__a61__a62_(u,w))),
inference(spr,[status(thm),theory(equality)],[5,7]),
[iquote('0:SpR:5.0,7.0')] ).
cnf(61,plain,
equal(a61__a61__a62_(u,a61__a61__a62_(v,w)),a61__a61__a62_(v,a61__a61__a62_(u,w))),
inference(rew,[status(thm),theory(equality)],[7,54]),
[iquote('0:Rew:7.0,54.0')] ).
cnf(65,plain,
equal(a43_(u,a43_(v,a61__a61__a62_(u,a61__a61__a62_(v,w)))),a43_(w,a61__a61__a62_(w,a43_(u,v)))),
inference(rew,[status(thm),theory(equality)],[6,49]),
[iquote('0:Rew:6.0,49.0')] ).
cnf(66,plain,
~ equal(a43_(c,a61__a61__a62_(c,a43_(a,a61__a61__a62_(a,b)))),a43_(a,a61__a61__a62_(a,a43_(b,a61__a61__a62_(b,c))))),
inference(rew,[status(thm),theory(equality)],[65,10]),
[iquote('0:Rew:65.0,10.0')] ).
cnf(94,plain,
equal(a43_(a43_(u,v),w),a43_(v,a43_(u,w))),
inference(spr,[status(thm),theory(equality)],[5,6]),
[iquote('0:SpR:5.0,6.0')] ).
cnf(101,plain,
equal(a43_(u,a43_(v,w)),a43_(v,a43_(u,w))),
inference(rew,[status(thm),theory(equality)],[6,94]),
[iquote('0:Rew:6.0,94.0')] ).
cnf(131,plain,
equal(a43_(u,a61__a61__a62_(v,a61__a61__a62_(u,w))),a43_(a61__a61__a62_(v,w),a61__a61__a62_(a61__a61__a62_(v,w),u))),
inference(spr,[status(thm),theory(equality)],[61,8]),
[iquote('0:SpR:61.0,8.0')] ).
cnf(2697,plain,
equal(a43_(u,a61__a61__a62_(u,a43_(v,w))),a43_(w,a43_(v,a61__a61__a62_(v,a61__a61__a62_(w,u))))),
inference(spr,[status(thm),theory(equality)],[65,101]),
[iquote('0:SpR:65.0,101.0')] ).
cnf(2813,plain,
equal(a43_(u,a43_(a61__a61__a62_(u,v),a61__a61__a62_(u,a61__a61__a62_(a61__a61__a62_(u,v),w)))),a43_(w,a61__a61__a62_(w,a43_(v,a61__a61__a62_(v,u))))),
inference(spr,[status(thm),theory(equality)],[8,65]),
[iquote('0:SpR:8.0,65.0')] ).
cnf(26595,plain,
equal(a43_(u,a43_(a61__a61__a62_(u,v),a61__a61__a62_(w,a61__a61__a62_(a61__a61__a62_(u,v),x)))),a43_(v,a61__a61__a62_(v,a43_(a61__a61__a62_(w,x),u)))),
inference(spr,[status(thm),theory(equality)],[131,2697]),
[iquote('0:SpR:131.0,2697.0')] ).
cnf(26674,plain,
equal(a43_(u,a61__a61__a62_(u,a43_(a61__a61__a62_(v,w),v))),a43_(w,a61__a61__a62_(w,a43_(u,a61__a61__a62_(u,v))))),
inference(rew,[status(thm),theory(equality)],[26595,2813]),
[iquote('0:Rew:26595.0,2813.0')] ).
cnf(26675,plain,
equal(a43_(u,a61__a61__a62_(u,a43_(v,a61__a61__a62_(v,w)))),a43_(w,a61__a61__a62_(w,a43_(u,a61__a61__a62_(u,v))))),
inference(rew,[status(thm),theory(equality)],[5,26674]),
[iquote('0:Rew:5.0,26674.0')] ).
cnf(26676,plain,
$false,
inference(unc,[status(thm)],[26675,66]),
[iquote('0:UnC:26675.0,66.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL897+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 22:10:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 19.94/20.14
% 19.94/20.14 SPASS V 3.9
% 19.94/20.14 SPASS beiseite: Proof found.
% 19.94/20.14 % SZS status Theorem
% 19.94/20.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.94/20.14 SPASS derived 15749 clauses, backtracked 0 clauses, performed 0 splits and kept 3228 clauses.
% 19.94/20.14 SPASS allocated 117124 KBytes.
% 19.94/20.14 SPASS spent 0:0:19.25 on the problem.
% 19.94/20.14 0:00:00.04 for the input.
% 19.94/20.14 0:00:00.03 for the FLOTTER CNF translation.
% 19.94/20.14 0:00:00.12 for inferences.
% 19.94/20.14 0:00:00.00 for the backtracking.
% 19.94/20.14 0:0:19.03 for the reduction.
% 19.94/20.14
% 19.94/20.14
% 19.94/20.14 Here is a proof with depth 3, length 20 :
% 19.94/20.14 % SZS output start Refutation
% See solution above
% 19.94/20.14 Formulae used in the proof : sos_02 sos_01 sos_07 sos_08 goals_09
% 19.94/20.14
%------------------------------------------------------------------------------