TSTP Solution File: NUM841+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 : Mon Jul 18 14:30:57 EDT 2022

% Result   : Theorem 1.88s 2.07s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n008.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 : Thu Jul  7 22:57:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.88/2.07  
% 1.88/2.07  SPASS V 3.9 
% 1.88/2.07  SPASS beiseite: Proof found.
% 1.88/2.07  % SZS status Theorem
% 1.88/2.07  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.88/2.07  SPASS derived 6905 clauses, backtracked 7 clauses, performed 2 splits and kept 2682 clauses.
% 1.88/2.07  SPASS allocated 90006 KBytes.
% 1.88/2.07  SPASS spent	0:00:01.68 on the problem.
% 1.88/2.07  		0:00:00.04 for the input.
% 1.88/2.07  		0:00:00.03 for the FLOTTER CNF translation.
% 1.88/2.07  		0:00:00.05 for inferences.
% 1.88/2.07  		0:00:00.00 for the backtracking.
% 1.88/2.07  		0:00:01.52 for the reduction.
% 1.88/2.07  
% 1.88/2.07  
% 1.88/2.07  Here is a proof with depth 3, length 22 :
% 1.88/2.07  % SZS output start Refutation
% 1.88/2.07  14[0:Inp] ||  -> greater(vplus(vd347,vd345),vplus(vd348,vd345))*.
% 1.88/2.07  16[0:Inp] ||  -> greater(vplus(vd344,vd347),vplus(vd345,vd347))*.
% 1.88/2.07  25[0:Inp] || greater(u,v)* -> less(v,u).
% 1.88/2.07  26[0:Inp] ||  -> equal(vplus(u,v),vplus(v,u))*.
% 1.88/2.07  27[0:Inp] || greater(vplus(vd344,vd347),vplus(vd345,vd348))* -> .
% 1.88/2.07  28[0:Inp] || less(u,v) greater(u,v)* -> .
% 1.88/2.07  30[0:Inp] ||  -> less(u,v) greater(u,v)* equal(u,v).
% 1.88/2.07  47[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*.
% 1.88/2.07  54[0:Rew:26.0,16.0] ||  -> greater(vplus(vd344,vd347),vplus(vd347,vd345))*.
% 1.88/2.07  55[0:Rew:26.0,14.0] ||  -> greater(vplus(vd347,vd345),vplus(vd345,vd348))*.
% 1.88/2.07  57[0:Res:30.1,27.0] ||  -> less(vplus(vd344,vd347),vplus(vd345,vd348))*r equal(vplus(vd345,vd348),vplus(vd344,vd347)).
% 1.88/2.07  61[1:Spt:57.1] ||  -> equal(vplus(vd345,vd348),vplus(vd344,vd347))**.
% 1.88/2.07  62[1:Rew:61.0,55.0] ||  -> greater(vplus(vd347,vd345),vplus(vd344,vd347))*.
% 1.88/2.07  587[0:Res:54.0,25.0] ||  -> less(vplus(vd347,vd345),vplus(vd344,vd347))*l.
% 1.88/2.07  698[0:Res:54.0,28.1] || less(vplus(vd344,vd347),vplus(vd347,vd345))*r -> .
% 1.88/2.07  699[1:Res:62.0,28.1] || less(vplus(vd347,vd345),vplus(vd344,vd347))*l -> .
% 1.88/2.07  715[1:MRR:699.0,587.0] ||  -> .
% 1.88/2.07  716[1:Spt:715.0,57.1,61.0] || equal(vplus(vd345,vd348),vplus(vd344,vd347))** -> .
% 1.88/2.07  717[1:Spt:715.0,57.0] ||  -> less(vplus(vd344,vd347),vplus(vd345,vd348))*r.
% 1.88/2.07  722[0:Res:55.0,25.0] ||  -> less(vplus(vd345,vd348),vplus(vd347,vd345))*l.
% 1.88/2.07  8116[1:OCh:47.1,47.0,722.0,717.0] ||  -> less(vplus(vd344,vd347),vplus(vd347,vd345))*r.
% 1.88/2.07  8128[1:MRR:8116.0,698.0] ||  -> .
% 1.88/2.07  % SZS output end Refutation
% 1.88/2.07  Formulae used in the proof : holds_a40_213_a44__a32_351_a44__a32_1_a41_ holds_a40_212_a44__a32_350_a44__a32_0_a41_ ass_a40_cond_a40_140_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_214_a44__a32_352_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_2_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_168_a44__a32_0_a41__a44__a32_0_a41_
% 1.88/2.07  
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