TSTP Solution File: NUM855+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 14:31:07 EDT 2022
% Result : Theorem 1.82s 2.01s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n013.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 02:54:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.82/2.01
% 1.82/2.01 SPASS V 3.9
% 1.82/2.01 SPASS beiseite: Proof found.
% 1.82/2.01 % SZS status Theorem
% 1.82/2.01 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.01 SPASS derived 6559 clauses, backtracked 7 clauses, performed 3 splits and kept 2882 clauses.
% 1.82/2.01 SPASS allocated 90250 KBytes.
% 1.82/2.01 SPASS spent 0:00:01.62 on the problem.
% 1.82/2.01 0:00:00.04 for the input.
% 1.82/2.01 0:00:00.03 for the FLOTTER CNF translation.
% 1.82/2.01 0:00:00.05 for inferences.
% 1.82/2.01 0:00:00.00 for the backtracking.
% 1.82/2.01 0:00:01.45 for the reduction.
% 1.82/2.01
% 1.82/2.01
% 1.82/2.01 Here is a proof with depth 3, length 22 :
% 1.82/2.01 % SZS output start Refutation
% 1.82/2.01 17[0:Inp] || -> greater(vmul(vd511,vd509),vmul(vd512,vd509))*.
% 1.82/2.01 19[0:Inp] || -> greater(vmul(vd508,vd511),vmul(vd509,vd511))*.
% 1.82/2.01 21[0:Inp] || -> equal(vmul(u,v),vmul(v,u))*.
% 1.82/2.01 30[0:Inp] || greater(u,v)* -> less(v,u).
% 1.82/2.01 32[0:Inp] || greater(vmul(vd508,vd511),vmul(vd509,vd512))* -> .
% 1.82/2.01 33[0:Inp] || less(u,v) greater(u,v)* -> .
% 1.82/2.01 37[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v).
% 1.82/2.01 62[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*.
% 1.82/2.01 74[0:Rew:21.0,19.0] || -> greater(vmul(vd508,vd511),vmul(vd511,vd509))*.
% 1.82/2.01 75[0:Rew:21.0,17.0] || -> greater(vmul(vd511,vd509),vmul(vd509,vd512))*.
% 1.82/2.01 81[0:Res:37.1,32.0] || -> less(vmul(vd508,vd511),vmul(vd509,vd512))*r equal(vmul(vd509,vd512),vmul(vd508,vd511)).
% 1.82/2.01 86[1:Spt:81.1] || -> equal(vmul(vd509,vd512),vmul(vd508,vd511))**.
% 1.82/2.01 87[1:Rew:86.0,75.0] || -> greater(vmul(vd511,vd509),vmul(vd508,vd511))*.
% 1.82/2.01 1195[0:Res:74.0,30.0] || -> less(vmul(vd511,vd509),vmul(vd508,vd511))*l.
% 1.82/2.01 1449[0:Res:74.0,33.1] || less(vmul(vd508,vd511),vmul(vd511,vd509))*r -> .
% 1.82/2.01 1450[1:Res:87.0,33.1] || less(vmul(vd511,vd509),vmul(vd508,vd511))*l -> .
% 1.82/2.01 1493[1:MRR:1450.0,1195.0] || -> .
% 1.82/2.01 1494[1:Spt:1493.0,81.1,86.0] || equal(vmul(vd509,vd512),vmul(vd508,vd511))** -> .
% 1.82/2.01 1495[1:Spt:1493.0,81.0] || -> less(vmul(vd508,vd511),vmul(vd509,vd512))*r.
% 1.82/2.01 1500[0:Res:75.0,30.0] || -> less(vmul(vd509,vd512),vmul(vd511,vd509))*l.
% 1.82/2.01 7691[1:OCh:62.1,62.0,1500.0,1495.0] || -> less(vmul(vd508,vd511),vmul(vd511,vd509))*r.
% 1.82/2.01 7703[1:MRR:7691.0,1449.0] || -> .
% 1.82/2.01 % SZS output end Refutation
% 1.82/2.01 Formulae used in the proof : holds_a40_conjunct2_a40_315_a41__a44__a32_515_a44__a32_1_a41_ holds_a40_conjunct1_a40_315_a41__a44__a32_514_a44__a32_0_a41_ ass_a40_cond_a40_270_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_140_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_conseq_conjunct2_a40_315_a41__a44__a32_516_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_
% 1.82/2.01
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