TSTP Solution File: NUM839+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 14:30:55 EDT 2022
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 08:51:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.73
% 0.55/0.73 SPASS V 3.9
% 0.55/0.73 SPASS beiseite: Proof found.
% 0.55/0.73 % SZS status Theorem
% 0.55/0.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73 SPASS derived 1967 clauses, backtracked 7 clauses, performed 1 splits and kept 911 clauses.
% 0.55/0.73 SPASS allocated 86577 KBytes.
% 0.55/0.73 SPASS spent 0:00:00.37 on the problem.
% 0.55/0.73 0:00:00.04 for the input.
% 0.55/0.73 0:00:00.03 for the FLOTTER CNF translation.
% 0.55/0.73 0:00:00.02 for inferences.
% 0.55/0.73 0:00:00.00 for the backtracking.
% 0.55/0.73 0:00:00.26 for the reduction.
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 Here is a proof with depth 10, length 28 :
% 0.55/0.73 % SZS output start Refutation
% 0.55/0.73 1[0:Inp] || greater(vd328,vd329)* -> .
% 0.55/0.73 3[0:Inp] || greater(u,u)* -> .
% 0.55/0.73 4[0:Inp] || -> greater(vplus(u,v),u)*.
% 0.55/0.73 12[0:Inp] || -> greater(vplus(vd328,vd330),vplus(vd329,vd330))*.
% 0.55/0.73 20[0:Inp] || less(u,v) -> greater(v,u)*.
% 0.55/0.73 22[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*.
% 0.55/0.73 25[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v).
% 0.55/0.73 35[0:Inp] || greater(u,v) -> greater(vplus(u,w),vplus(v,w))*.
% 0.55/0.73 41[0:Inp] || greater(u,v) -> equal(vplus(v,skf5(v,u)),u)**.
% 0.55/0.73 43[0:Inp] || -> equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w)))**.
% 0.55/0.73 46[0:Res:20.1,1.0] || less(vd329,vd328)*l -> .
% 0.55/0.73 47[0:Res:25.1,1.0] || -> less(vd328,vd329)*r equal(vd329,vd328).
% 0.55/0.73 50[1:Spt:47.1] || -> equal(vd329,vd328)**.
% 0.55/0.73 53[1:Rew:50.0,12.0] || -> greater(vplus(vd328,vd330),vplus(vd328,vd330))*.
% 0.55/0.73 55[1:MRR:53.0,3.0] || -> .
% 0.55/0.73 56[1:Spt:55.0,47.1,50.0] || equal(vd329,vd328)** -> .
% 0.55/0.73 57[1:Spt:55.0,47.0] || -> less(vd328,vd329)*r.
% 0.55/0.73 69[0:SpR:22.0,4.0] || -> greater(vplus(u,v),v)*.
% 0.55/0.73 253[0:SpR:43.0,69.0] || -> greater(vplus(u,vplus(v,w)),w)*.
% 0.55/0.73 292[0:SpR:22.0,253.0] || -> greater(vplus(u,vplus(v,w)),v)*.
% 0.55/0.73 318[0:SpR:41.1,292.0] || greater(u,v) -> greater(vplus(w,u),v)*.
% 0.55/0.73 1875[0:Res:318.1,3.0] || greater(u,vplus(v,u))* -> .
% 0.55/0.73 1888[0:SpL:22.0,1875.0] || greater(u,vplus(u,v))* -> .
% 0.55/0.73 1981[0:SpL:41.1,1888.0] || greater(u,v)*+ greater(v,u)* -> .
% 0.55/0.73 2274[0:Res:12.0,1981.0] || greater(vplus(vd329,vd330),vplus(vd328,vd330))* -> .
% 0.55/0.73 2303[0:Res:35.1,2274.0] || greater(vd329,vd328)* -> .
% 0.55/0.73 2308[0:Res:25.1,2303.0] || -> less(vd329,vd328)*l equal(vd329,vd328).
% 0.55/0.73 2311[1:MRR:2308.0,2308.1,46.0,56.0] || -> .
% 0.55/0.73 % SZS output end Refutation
% 0.55/0.73 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_
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