TSTP Solution File: FLD030-1 by SPASS---3.9

View Problem - Process Solution

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% File     : SPASS---3.9
% Problem  : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 : Sat Jul 16 02:28:23 EDT 2022

% Result   : Unsatisfiable 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 00:57:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  
% 0.12/0.40  SPASS V 3.9 
% 0.12/0.40  SPASS beiseite: Proof found.
% 0.12/0.40  % SZS status Theorem
% 0.12/0.40  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.12/0.40  SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 32 clauses.
% 0.12/0.40  SPASS allocated 75627 KBytes.
% 0.12/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.12/0.40  		0:00:00.04 for the input.
% 0.12/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40  		0:00:00.00 for inferences.
% 0.12/0.40  		0:00:00.00 for the backtracking.
% 0.12/0.40  		0:00:00.00 for the reduction.
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  Here is a proof with depth 1, length 8 :
% 0.12/0.40  % SZS output start Refutation
% 0.12/0.40  2[0:Inp] ||  -> defined(b)*.
% 0.12/0.40  4[0:Inp] ||  -> equalish(a,d)*l.
% 0.12/0.40  5[0:Inp] || equalish(multiply(d,b),multiply(a,b))*r -> .
% 0.12/0.40  27[0:Inp] || equalish(u,v)* -> equalish(v,u).
% 0.12/0.40  30[0:Inp] defined(u) || equalish(v,w) -> equalish(multiply(v,u),multiply(w,u))*.
% 0.12/0.40  33[0:Res:4.0,27.0] ||  -> equalish(d,a)*r.
% 0.12/0.40  38[0:Res:30.2,5.0] defined(b) || equalish(d,a)*r -> .
% 0.12/0.40  40[0:MRR:38.0,38.1,2.0,33.0] ||  -> .
% 0.12/0.40  % SZS output end Refutation
% 0.12/0.40  Formulae used in the proof : b_is_defined a_equals_d_4 multiply_not_equal_to_multiply_5 symmetry_of_equality compatibility_of_equality_and_multiplication
% 0.12/0.40  
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