TSTP Solution File: LCL407-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL407-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:36:44 EDT 2022
% Result : Satisfiable 0.22s 0.46s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 234)
% Comments :
%------------------------------------------------------------------------------
cnf(263,plain,
equal(and_star(not__dfg(and_star(xor__dfg(falsehood,u),xor__dfg(truth,v))),xor__dfg(truth,v)),and_star(not__dfg(and_star(xor__dfg(falsehood,v),xor__dfg(truth,u))),xor__dfg(truth,u))),
inference(rew,[status(thm),theory(equality)],[16,234]),
[iquote('0:Rew:16.0,234.0')] ).
cnf(309,plain,
equal(and_star(not__dfg(and_star(xor__dfg(falsehood,u),xor__dfg(falsehood,v))),xor__dfg(falsehood,v)),and_star(not__dfg(and_star(xor__dfg(falsehood,u),v)),v)),
inference(rew,[status(thm),theory(equality)],[16,271,9]),
[iquote('0:Rew:16.0,271.0,9.0,271.0')] ).
cnf(270,plain,
equal(and_star(not__dfg(and_star(xor__dfg(truth,u),xor__dfg(falsehood,v))),xor__dfg(falsehood,v)),and_star(not__dfg(and_star(xor__dfg(truth,u),v)),v)),
inference(spr,[status(thm),theory(equality)],[179,10]),
[iquote('0:SpR:179.0,10.0')] ).
cnf(80,plain,
equal(and_star(not__dfg(and_star(xor__dfg(truth,u),xor__dfg(truth,v))),xor__dfg(truth,v)),and_star(not__dfg(and_star(xor__dfg(falsehood,v),u)),u)),
inference(rew,[status(thm),theory(equality)],[16,60]),
[iquote('0:Rew:16.0,60.0')] ).
cnf(70,plain,
equal(and_star(not__dfg(and_star(falsehood,u)),u),not__dfg(xor__dfg(truth,u))),
inference(rew,[status(thm),theory(equality)],[16,43,1,4]),
[iquote('0:Rew:16.0,43.0,1.0,43.0,4.0,43.0')] ).
cnf(157,plain,
equal(and_star(not__dfg(and_star(truth,u)),xor__dfg(falsehood,u)),falsehood),
inference(spr,[status(thm),theory(equality)],[153,64]),
[iquote('0:SpR:153.0,64.0')] ).
cnf(38,plain,
equal(xor__dfg(u,xor__dfg(falsehood,v)),xor__dfg(u,v)),
inference(rew,[status(thm),theory(equality)],[34,37]),
[iquote('0:Rew:34.0,37.0')] ).
cnf(153,plain,
equal(and_star(truth,xor__dfg(falsehood,u)),and_star(truth,u)),
inference(rew,[status(thm),theory(equality)],[41,152,6]),
[iquote('0:Rew:41.0,152.0,6.0,152.0')] ).
cnf(132,plain,
equal(and_star(xor__dfg(truth,u),xor__dfg(falsehood,u)),falsehood),
inference(rew,[status(thm),theory(equality)],[41,122,9,16]),
[iquote('0:Rew:41.0,122.0,9.0,122.0,16.0,122.0')] ).
cnf(36,plain,
equal(and_star(xor__dfg(falsehood,u),xor__dfg(truth,u)),falsehood),
inference(rew,[status(thm),theory(equality)],[16,28]),
[iquote('0:Rew:16.0,28.0')] ).
cnf(64,plain,
equal(and_star(not__dfg(and_star(truth,u)),u),falsehood),
inference(rew,[status(thm),theory(equality)],[2,42]),
[iquote('0:Rew:2.0,42.0')] ).
cnf(97,plain,
equal(xor__dfg(xor__dfg(falsehood,u),u),falsehood),
inference(rew,[status(thm),theory(equality)],[34,86,16,9]),
[iquote('0:Rew:34.0,86.0,16.0,86.0,9.0,86.0')] ).
cnf(26,plain,
equal(xor__dfg(not__dfg(xor__dfg(truth,u)),u),falsehood),
inference(spr,[status(thm),theory(equality)],[9,3]),
[iquote('0:SpR:9.0,3.0')] ).
cnf(41,plain,
equal(not__dfg(falsehood),truth),
inference(spr,[status(thm),theory(equality)],[16,34]),
[iquote('0:SpR:16.0,34.0')] ).
cnf(10,plain,
equal(and_star(not__dfg(and_star(xor__dfg(truth,u),v)),v),and_star(not__dfg(and_star(xor__dfg(truth,v),u)),u)),
inference(rew,[status(thm),theory(equality)],[1,8]),
[iquote('0:Rew:1.0,8.0,1.0,8.0')] ).
cnf(34,plain,
equal(not__dfg(not__dfg(u)),u),
inference(rew,[status(thm),theory(equality)],[1,31,2]),
[iquote('0:Rew:1.0,31.0,2.0,31.0')] ).
cnf(9,plain,
equal(xor__dfg(u,xor__dfg(truth,v)),xor__dfg(not__dfg(u),v)),
inference(rew,[status(thm),theory(equality)],[1,7]),
[iquote('0:Rew:1.0,7.0')] ).
cnf(6,axiom,
equal(and_star(xor__dfg(truth,u),u),falsehood),
file('LCL407-2.p',unknown),
[] ).
cnf(16,plain,
equal(not__dfg(truth),falsehood),
inference(spr,[status(thm),theory(equality)],[1,3]),
[iquote('0:SpR:1.0,3.0')] ).
cnf(1,axiom,
equal(xor__dfg(u,truth),not__dfg(u)),
file('LCL407-2.p',unknown),
[] ).
cnf(3,axiom,
equal(xor__dfg(u,u),falsehood),
file('LCL407-2.p',unknown),
[] ).
cnf(2,axiom,
equal(xor__dfg(u,falsehood),u),
file('LCL407-2.p',unknown),
[] ).
cnf(4,axiom,
equal(and_star(u,truth),u),
file('LCL407-2.p',unknown),
[] ).
cnf(5,axiom,
equal(and_star(u,falsehood),falsehood),
file('LCL407-2.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL407-2 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 08:34:36 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.46
% 0.22/0.46 SPASS V 3.9
% 0.22/0.46 SPASS beiseite: Completion found.
% 0.22/0.46 % SZS status CounterSatisfiable
% 0.22/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.46 SPASS derived 262 clauses, backtracked 0 clauses, performed 0 splits and kept 26 clauses.
% 0.22/0.46 SPASS allocated 63493 KBytes.
% 0.22/0.46 SPASS spent 0:00:00.08 on the problem.
% 0.22/0.46 0:00:00.04 for the input.
% 0.22/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.46 0:00:00.00 for inferences.
% 0.22/0.46 0:00:00.00 for the backtracking.
% 0.22/0.46 0:00:00.02 for the reduction.
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 The saturated set of worked-off clauses is :
% 0.22/0.46 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------