TSTP Solution File: SWV202+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 : Wed Jul 20 21:41:36 EDT 2022
% Result : Theorem 1.53s 1.74s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 17:00:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.53/1.74
% 1.53/1.74 SPASS V 3.9
% 1.53/1.74 SPASS beiseite: Proof found.
% 1.53/1.74 % SZS status Theorem
% 1.53/1.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.74 SPASS derived 4422 clauses, backtracked 487 clauses, performed 4 splits and kept 2721 clauses.
% 1.53/1.74 SPASS allocated 89384 KBytes.
% 1.53/1.74 SPASS spent 0:00:01.35 on the problem.
% 1.53/1.74 0:00:00.04 for the input.
% 1.53/1.74 0:00:00.08 for the FLOTTER CNF translation.
% 1.53/1.74 0:00:00.03 for inferences.
% 1.53/1.74 0:00:00.02 for the backtracking.
% 1.53/1.74 0:00:01.03 for the reduction.
% 1.53/1.74
% 1.53/1.74
% 1.53/1.74 Here is a proof with depth 5, length 82 :
% 1.53/1.74 % SZS output start Refutation
% 1.53/1.74 2[0:Inp] || -> leq(n0,skc3)*r.
% 1.53/1.74 3[0:Inp] || -> leq(skc3,n2)*l.
% 1.53/1.74 6[0:Inp] || -> gt(pv5,n0)*l.
% 1.53/1.74 7[0:Inp] || -> leq(skc2,pv5)*l.
% 1.53/1.74 8[0:Inp] || -> leq(n0,skc2)*r.
% 1.53/1.74 37[0:Inp] || -> leq(u,u)*.
% 1.53/1.74 38[0:Inp] || -> equal(succ(n0),n1)**.
% 1.53/1.74 67[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.53/1.74 84[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.53/1.74 96[0:Inp] || equal(a_select3(u_defuse,skc3,skc2),use)** -> .
% 1.53/1.74 107[0:Inp] || equal(skc2,pv5) equal(skc3,n0)** -> .
% 1.53/1.74 108[0:Inp] || equal(skc2,pv5) equal(skc3,n1)** -> .
% 1.53/1.74 109[0:Inp] || equal(skc2,pv5) equal(skc3,n2)** -> .
% 1.53/1.74 112[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.53/1.74 134[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 1.53/1.74 138[0:Inp] || leq(u,n0)*+ leq(n0,u)* -> equal(u,n0).
% 1.53/1.74 140[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.53/1.74 144[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 1.53/1.74 155[0:Inp] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(u_defuse,u,v),use)**.
% 1.53/1.74 181[0:Rew:38.0,67.0] || -> equal(succ(n1),n2)**.
% 1.53/1.74 194[0:Res:155.4,96.0] || leq(n0,skc3) leq(skc3,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) -> .
% 1.53/1.74 223[0:Res:8.0,144.0] || leq(skc2,n1)*l -> equal(skc2,n1) equal(skc2,n0).
% 1.53/1.74 256[0:Res:8.0,134.0] || -> gt(skc2,n0)*l equal(skc2,n0).
% 1.53/1.74 336[0:Res:7.0,134.0] || -> gt(pv5,skc2)*r equal(skc2,pv5).
% 1.53/1.74 383[0:MRR:194.0,194.1,194.3,2.0,3.0,8.0] || leq(skc2,pred(pv5))*r -> .
% 1.53/1.74 438[1:Spt:223.1] || -> equal(skc2,n1)**.
% 1.53/1.74 445[1:Rew:438.0,336.1] || -> gt(pv5,skc2)*r equal(pv5,n1).
% 1.53/1.74 446[1:Rew:438.0,107.0] || equal(pv5,n1) equal(skc3,n0)** -> .
% 1.53/1.74 447[1:Rew:438.0,108.0] || equal(pv5,n1) equal(skc3,n1)** -> .
% 1.53/1.74 448[1:Rew:438.0,109.0] || equal(pv5,n1) equal(skc3,n2)** -> .
% 1.53/1.74 541[1:Rew:438.0,383.0] || leq(n1,pred(pv5))*r -> .
% 1.53/1.74 569[1:Rew:438.0,445.0] || -> gt(pv5,n1)*l equal(pv5,n1).
% 1.53/1.74 676[0:SpR:38.0,84.0] || -> equal(pred(n1),n0)**.
% 1.53/1.74 677[0:SpR:181.0,84.0] || -> equal(pred(n2),n1)**.
% 1.53/1.74 798[2:Spt:446.0] || equal(pv5,n1)** -> .
% 1.53/1.74 799[2:MRR:569.1,798.0] || -> gt(pv5,n1)*l.
% 1.53/1.74 3578[2:Res:799.0,112.0] || -> leq(n1,pred(pv5))*r.
% 1.53/1.74 3586[0:Res:6.0,112.0] || -> leq(n0,pred(pv5))*r.
% 1.53/1.74 3735[2:MRR:3578.0,541.0] || -> .
% 1.53/1.74 3837[2:Spt:3735.0,446.0,798.0] || -> equal(pv5,n1)**.
% 1.53/1.74 3838[2:Spt:3735.0,446.1] || equal(skc3,n0)** -> .
% 1.53/1.74 3908[2:Rew:3837.0,447.0] || equal(n1,n1) equal(skc3,n1)** -> .
% 1.53/1.74 3909[2:Obv:3908.0] || equal(skc3,n1)** -> .
% 1.53/1.74 3910[2:Rew:3837.0,448.0] || equal(n1,n1) equal(skc3,n2)** -> .
% 1.53/1.74 3911[2:Obv:3910.0] || equal(skc3,n2)** -> .
% 1.53/1.74 5238[0:Res:3.0,134.0] || -> gt(n2,skc3)*r equal(skc3,n2).
% 1.53/1.74 5435[2:MRR:5238.1,3911.0] || -> gt(n2,skc3)*r.
% 1.53/1.74 5447[2:Res:5435.0,112.0] || -> leq(skc3,pred(n2))*r.
% 1.53/1.74 5458[2:Rew:677.0,5447.0] || -> leq(skc3,n1)*l.
% 1.53/1.74 5459[2:Res:5458.0,134.0] || -> gt(n1,skc3)*r equal(skc3,n1).
% 1.53/1.74 5471[2:MRR:5459.1,3909.0] || -> gt(n1,skc3)*r.
% 1.53/1.74 5472[2:Res:5471.0,112.0] || -> leq(skc3,pred(n1))*r.
% 1.53/1.74 5483[2:Rew:676.0,5472.0] || -> leq(skc3,n0)*l.
% 1.53/1.74 5593[2:NCh:140.2,140.0,5483.0,138.0] || leq(n0,n0) leq(n0,skc3)*r -> equal(skc3,n0).
% 1.53/1.74 5601[2:MRR:5593.0,5593.1,5593.2,37.0,2.0,3838.0] || -> .
% 1.53/1.74 5602[1:Spt:5601.0,223.1,438.0] || equal(skc2,n1)** -> .
% 1.53/1.74 5603[1:Spt:5601.0,223.0,223.2] || leq(skc2,n1)*l -> equal(skc2,n0).
% 1.53/1.74 5615[2:Spt:256.1] || -> equal(skc2,n0)**.
% 1.53/1.74 5639[2:Rew:5615.0,383.0] || leq(n0,pred(pv5))*r -> .
% 1.53/1.74 5746[2:MRR:5639.0,3586.0] || -> .
% 1.53/1.74 5815[2:Spt:5746.0,256.1,5615.0] || equal(skc2,n0)** -> .
% 1.53/1.74 5816[2:Spt:5746.0,256.0] || -> gt(skc2,n0)*l.
% 1.53/1.74 5833[3:Spt:336.1] || -> equal(skc2,pv5)**.
% 1.53/1.74 5845[3:Rew:5833.0,107.0] || equal(pv5,pv5) equal(skc3,n0)** -> .
% 1.53/1.74 5846[3:Rew:5833.0,108.0] || equal(pv5,pv5) equal(skc3,n1)** -> .
% 1.53/1.74 5847[3:Rew:5833.0,109.0] || equal(pv5,pv5) equal(skc3,n2)** -> .
% 1.53/1.74 5972[3:Obv:5845.0] || equal(skc3,n0)** -> .
% 1.53/1.74 5981[3:Obv:5846.0] || equal(skc3,n1)** -> .
% 1.53/1.74 5982[3:Obv:5847.0] || equal(skc3,n2)** -> .
% 1.53/1.74 5983[3:MRR:5238.1,5982.0] || -> gt(n2,skc3)*r.
% 1.53/1.74 6142[3:Res:5983.0,112.0] || -> leq(skc3,pred(n2))*r.
% 1.53/1.74 6153[3:Rew:677.0,6142.0] || -> leq(skc3,n1)*l.
% 1.53/1.74 6154[3:Res:6153.0,134.0] || -> gt(n1,skc3)*r equal(skc3,n1).
% 1.53/1.74 6168[3:MRR:6154.1,5981.0] || -> gt(n1,skc3)*r.
% 1.53/1.74 6170[3:Res:6168.0,112.0] || -> leq(skc3,pred(n1))*r.
% 1.53/1.74 6181[3:Rew:676.0,6170.0] || -> leq(skc3,n0)*l.
% 1.53/1.74 6193[3:NCh:140.2,140.0,6181.0,138.0] || leq(n0,n0) leq(n0,skc3)*r -> equal(skc3,n0).
% 1.53/1.74 6201[3:MRR:6193.0,6193.1,6193.2,37.0,2.0,5972.0] || -> .
% 1.53/1.74 6202[3:Spt:6201.0,336.1,5833.0] || equal(skc2,pv5)** -> .
% 1.53/1.74 6203[3:Spt:6201.0,336.0] || -> gt(pv5,skc2)*r.
% 1.53/1.74 6204[3:Res:6203.0,112.0] || -> leq(skc2,pred(pv5))*r.
% 1.53/1.74 6214[3:MRR:6204.0,383.0] || -> .
% 1.53/1.74 % SZS output end Refutation
% 1.53/1.74 Formulae used in the proof : quaternion_ds1_inuse_0013 reflexivity_leq successor_1 successor_2 pred_succ leq_gt_pred leq_gt2 finite_domain_0 transitivity_leq finite_domain_1
% 1.53/1.74
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