TSTP Solution File: NUM840+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 2.34s 2.56s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 00:24:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.34/2.56
% 2.34/2.56 SPASS V 3.9
% 2.34/2.56 SPASS beiseite: Proof found.
% 2.34/2.56 % SZS status Theorem
% 2.34/2.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.34/2.56 SPASS derived 7082 clauses, backtracked 10 clauses, performed 1 splits and kept 2637 clauses.
% 2.34/2.56 SPASS allocated 90393 KBytes.
% 2.34/2.56 SPASS spent 0:00:02.16 on the problem.
% 2.34/2.56 0:00:00.03 for the input.
% 2.34/2.56 0:00:00.03 for the FLOTTER CNF translation.
% 2.34/2.56 0:00:00.06 for inferences.
% 2.34/2.56 0:00:00.00 for the backtracking.
% 2.34/2.56 0:00:02.00 for the reduction.
% 2.34/2.56
% 2.34/2.56
% 2.34/2.56 Here is a proof with depth 3, length 17 :
% 2.34/2.56 % SZS output start Refutation
% 2.34/2.56 1[0:Inp] || less(vd328,vd329)*r -> .
% 2.34/2.56 2[0:Inp] || less(u,u)* -> .
% 2.34/2.56 12[0:Inp] || -> less(vplus(vd328,vd330),vplus(vd329,vd330))*r.
% 2.34/2.56 21[0:Inp] || greater(u,v)* -> less(v,u).
% 2.34/2.56 25[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v).
% 2.34/2.56 36[0:Inp] || less(u,v) -> less(vplus(u,w),vplus(v,w))*.
% 2.34/2.56 41[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*.
% 2.34/2.56 51[0:Res:25.2,1.0] || -> greater(vd328,vd329)* equal(vd329,vd328).
% 2.34/2.56 55[1:Spt:51.1] || -> equal(vd329,vd328)**.
% 2.34/2.56 56[1:Rew:55.0,12.0] || -> less(vplus(vd328,vd330),vplus(vd328,vd330))*.
% 2.34/2.56 62[1:MRR:56.0,2.0] || -> .
% 2.34/2.56 63[1:Spt:62.0,51.1,55.0] || equal(vd329,vd328)** -> .
% 2.34/2.56 64[1:Spt:62.0,51.0] || -> greater(vd328,vd329)*.
% 2.34/2.56 449[0:NCh:41.2,41.1,12.0,2.0] || less(vplus(vd329,vd330),vplus(vd328,vd330))*l -> .
% 2.34/2.56 625[1:Res:64.0,21.0] || -> less(vd329,vd328)*l.
% 2.34/2.56 8581[0:Res:36.1,449.0] || less(vd329,vd328)*l -> .
% 2.34/2.56 8584[1:MRR:8581.0,625.0] || -> .
% 2.34/2.56 % SZS output end Refutation
% 2.34/2.56 Formulae used in the proof : holds_a40_conseq_a40_conjunct2_a40_conjunct2_a40_204_a41__a41__a41__a44__a32_336_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_1_a41_ holds_a40_antec_a40_conjunct2_a40_conjunct2_a40_204_a41__a41__a41__a44__a32_335_a44__a32_0_a41_ ass_a40_cond_a40_140_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_0_a41_ ass_a40_cond_a40_168_a44__a32_0_a41__a44__a32_0_a41_
% 2.34/2.56
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