TSTP Solution File: NUM839+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 14:30:56 EDT 2022
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.32 % Computer : n003.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Thu Jul 7 10:01:27 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.54/0.76
% 0.54/0.76 SPASS V 3.9
% 0.54/0.76 SPASS beiseite: Proof found.
% 0.54/0.76 % SZS status Theorem
% 0.54/0.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.76 SPASS derived 1967 clauses, backtracked 7 clauses, performed 1 splits and kept 911 clauses.
% 0.54/0.76 SPASS allocated 86576 KBytes.
% 0.54/0.76 SPASS spent 0:00:00.41 on the problem.
% 0.54/0.76 0:00:00.04 for the input.
% 0.54/0.76 0:00:00.03 for the FLOTTER CNF translation.
% 0.54/0.76 0:00:00.02 for inferences.
% 0.54/0.76 0:00:00.00 for the backtracking.
% 0.54/0.76 0:00:00.29 for the reduction.
% 0.54/0.76
% 0.54/0.76
% 0.54/0.76 Here is a proof with depth 10, length 28 :
% 0.54/0.76 % SZS output start Refutation
% 0.54/0.76 1[0:Inp] || greater(vd328,vd329)* -> .
% 0.54/0.76 3[0:Inp] || greater(u,u)* -> .
% 0.54/0.76 4[0:Inp] || -> greater(vplus(u,v),u)*.
% 0.54/0.76 11[0:Inp] || -> greater(vplus(vd328,vd330),vplus(vd329,vd330))*.
% 0.54/0.76 19[0:Inp] || less(u,v) -> greater(v,u)*.
% 0.54/0.76 21[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*.
% 0.54/0.76 24[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v).
% 0.54/0.76 33[0:Inp] || greater(u,v) -> greater(vplus(u,w),vplus(v,w))*.
% 0.54/0.76 39[0:Inp] || greater(u,v) -> equal(vplus(v,skf5(v,u)),u)**.
% 0.54/0.76 41[0:Inp] || -> equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w)))**.
% 0.54/0.76 44[0:Res:19.1,1.0] || less(vd329,vd328)*l -> .
% 0.54/0.76 45[0:Res:24.1,1.0] || -> less(vd328,vd329)*r equal(vd329,vd328).
% 0.54/0.76 48[1:Spt:45.1] || -> equal(vd329,vd328)**.
% 0.54/0.76 51[1:Rew:48.0,11.0] || -> greater(vplus(vd328,vd330),vplus(vd328,vd330))*.
% 0.54/0.76 53[1:MRR:51.0,3.0] || -> .
% 0.54/0.76 54[1:Spt:53.0,45.1,48.0] || equal(vd329,vd328)** -> .
% 0.54/0.76 55[1:Spt:53.0,45.0] || -> less(vd328,vd329)*r.
% 0.54/0.76 67[0:SpR:21.0,4.0] || -> greater(vplus(u,v),v)*.
% 0.54/0.76 251[0:SpR:41.0,67.0] || -> greater(vplus(u,vplus(v,w)),w)*.
% 0.54/0.76 290[0:SpR:21.0,251.0] || -> greater(vplus(u,vplus(v,w)),v)*.
% 0.54/0.76 316[0:SpR:39.1,290.0] || greater(u,v) -> greater(vplus(w,u),v)*.
% 0.54/0.76 1873[0:Res:316.1,3.0] || greater(u,vplus(v,u))* -> .
% 0.54/0.76 1886[0:SpL:21.0,1873.0] || greater(u,vplus(u,v))* -> .
% 0.54/0.76 1979[0:SpL:39.1,1886.0] || greater(u,v)*+ greater(v,u)* -> .
% 0.54/0.76 2272[0:Res:11.0,1979.0] || greater(vplus(vd329,vd330),vplus(vd328,vd330))* -> .
% 0.54/0.76 2301[0:Res:33.1,2272.0] || greater(vd329,vd328)* -> .
% 0.54/0.76 2306[0:Res:24.1,2301.0] || -> less(vd329,vd328)*l equal(vd329,vd328).
% 0.54/0.76 2309[1:MRR:2306.0,2306.1,44.0,54.0] || -> .
% 0.54/0.76 % SZS output end Refutation
% 0.54/0.76 Formulae used in the proof : holds_a40_conseq_a40_204_a41__a44__a32_332_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_3_a41_ ass_a40_cond_a40_189_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_antec_a40_204_a41__a44__a32_331_a44__a32_0_a41_ ass_a40_cond_a40_147_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_193_a41__a44__a32_0_a41__a44__a32_2_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_11_a41__a44__a32_1_a41_ ass_a40_cond_a40_33_a44__a32_0_a41__a44__a32_0_a41_
% 0.54/0.76
%------------------------------------------------------------------------------