TSTP Solution File: SWV056+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SWV056+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 21:41:07 EDT 2022
% Result : Theorem 0.49s 0.69s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV056+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n019.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
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 600
% 0.20/0.35 % DateTime : Tue Jun 14 19:23:39 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.49/0.69
% 0.49/0.69 SPASS V 3.9
% 0.49/0.69 SPASS beiseite: Proof found.
% 0.49/0.69 % SZS status Theorem
% 0.49/0.69 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.69 SPASS derived 291 clauses, backtracked 104 clauses, performed 1 splits and kept 458 clauses.
% 0.49/0.69 SPASS allocated 86073 KBytes.
% 0.49/0.69 SPASS spent 0:00:00.31 on the problem.
% 0.49/0.69 0:00:00.04 for the input.
% 0.49/0.69 0:00:00.07 for the FLOTTER CNF translation.
% 0.49/0.69 0:00:00.00 for inferences.
% 0.49/0.69 0:00:00.00 for the backtracking.
% 0.49/0.69 0:00:00.12 for the reduction.
% 0.49/0.69
% 0.49/0.69
% 0.49/0.69 Here is a proof with depth 1, length 16 :
% 0.49/0.69 % SZS output start Refutation
% 0.49/0.69 2[0:Inp] || -> leq(n0,pv25)*r.
% 0.49/0.69 28[0:Inp] || -> equal(succ(tptp_minus_1),n0)**.
% 0.49/0.69 30[0:Inp] || -> leq(pv25,minus(n5,n1))*r.
% 0.49/0.69 48[0:Inp] || -> equal(pred(succ(u)),u)**.
% 0.49/0.69 51[0:Inp] || -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**.
% 0.49/0.69 52[0:Inp] || -> equal(sum__dfg(n0,tptp_minus_1,u),tptp_float_0_0)**.
% 0.49/0.69 55[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 0.49/0.69 110[0:Inp] || equal(sum__dfg(n0,minus(n0,n1),a_select3(q,pv77,pv25)),n0)** leq(n0,pv25) leq(pv25,minus(n5,n1)) -> .
% 0.49/0.69 138[0:Rew:52.0,51.0] || -> equal(tptp_float_0_0,n0)**.
% 0.49/0.69 139[0:Rew:138.0,52.0] || -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**.
% 0.49/0.69 150[0:Rew:55.0,30.0] || -> leq(pv25,pred(n5))*r.
% 0.49/0.69 151[0:Rew:55.0,110.2,55.0,110.0] || equal(sum__dfg(n0,pred(n0),a_select3(q,pv77,pv25)),n0)** leq(n0,pv25) leq(pv25,pred(n5)) -> .
% 0.49/0.69 152[0:MRR:151.1,151.2,2.0,150.0] || equal(sum__dfg(n0,pred(n0),a_select3(q,pv77,pv25)),n0)** -> .
% 0.49/0.69 540[0:SpR:28.0,48.0] || -> equal(pred(n0),tptp_minus_1)**.
% 0.49/0.69 595[0:Rew:139.0,152.0,540.0,152.0] || equal(n0,n0)* -> .
% 0.49/0.69 596[0:Obv:595.0] || -> .
% 0.49/0.69 % SZS output end Refutation
% 0.49/0.69 Formulae used in the proof : cl5_nebula_norm_0040 succ_tptp_minus_1 pred_succ sum_plus_base sum_plus_base_float pred_minus_1
% 0.49/0.69
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