TSTP Solution File: LCL674+1.015 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 14:39:00 EDT 2022
% Result : Theorem 8.72s 8.88s
% Output : Refutation 8.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 11:19:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.72/8.88
% 8.72/8.88 SPASS V 3.9
% 8.72/8.88 SPASS beiseite: Proof found.
% 8.72/8.88 % SZS status Theorem
% 8.72/8.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.72/8.88 SPASS derived 3851 clauses, backtracked 0 clauses, performed 0 splits and kept 3713 clauses.
% 8.72/8.88 SPASS allocated 104605 KBytes.
% 8.72/8.88 SPASS spent 0:00:08.45 on the problem.
% 8.72/8.88 0:00:00.04 for the input.
% 8.72/8.88 0:00:00.08 for the FLOTTER CNF translation.
% 8.72/8.88 0:00:00.06 for inferences.
% 8.72/8.88 0:00:00.00 for the backtracking.
% 8.72/8.88 0:00:07.94 for the reduction.
% 8.72/8.88
% 8.72/8.88
% 8.72/8.88 Here is a proof with depth 12, length 51 :
% 8.72/8.88 % SZS output start Refutation
% 8.72/8.88 1[0:Inp] || -> p100(skc1)*.
% 8.72/8.88 2[0:Inp] || p101(skc1)* -> .
% 8.72/8.88 3[0:Inp] || -> r1(u,u)*.
% 8.72/8.88 5[0:Inp] || -> r1(u,skf58(u))*r.
% 8.72/8.88 7[0:Inp] || -> r1(u,skf56(u))*r.
% 8.72/8.88 9[0:Inp] || -> r1(u,skf54(u))*r.
% 8.72/8.88 11[0:Inp] || -> r1(u,skf52(u))*r.
% 8.72/8.88 13[0:Inp] || -> r1(u,skf50(u))*r.
% 8.72/8.88 15[0:Inp] || -> r1(u,skf48(u))*r.
% 8.72/8.88 34[0:Inp] || r1(skc1,u) -> p7(u)*.
% 8.72/8.88 49[0:Inp] p102(u) || r1(skc1,u) -> p101(u)*.
% 8.72/8.88 51[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 8.72/8.88 82[0:Inp] p104(u) || r1(skc1,u) -> p105(u) p105(skf50(u))*.
% 8.72/8.88 85[0:Inp] p103(u) || r1(skc1,u) -> p104(u) p104(skf52(u))*.
% 8.72/8.88 88[0:Inp] p102(u) || r1(skc1,u) -> p103(u) p103(skf54(u))*.
% 8.72/8.88 91[0:Inp] p101(u) || r1(skc1,u) -> p102(u) p102(skf56(u))*.
% 8.72/8.88 94[0:Inp] p100(u) || r1(skc1,u) -> p101(u) p101(skf58(u))*.
% 8.72/8.88 124[0:Inp] p105(u) || p7(skf48(u))* r1(skc1,u) -> p106(u).
% 8.72/8.88 128[0:Inp] p104(u) || p106(skf50(u))* r1(skc1,u) -> p105(u).
% 8.72/8.88 131[0:Inp] p103(u) || p105(skf52(u))* r1(skc1,u) -> p104(u).
% 8.72/8.88 134[0:Inp] p102(u) || p104(skf54(u))* r1(skc1,u) -> p103(u).
% 8.72/8.88 137[0:Inp] p101(u) || p103(skf56(u))* r1(skc1,u) -> p102(u).
% 8.72/8.88 140[0:Inp] p100(u) || p102(skf58(u))* r1(skc1,u) -> p101(u).
% 8.72/8.88 358[0:Res:49.2,2.0] p102(skc1) || r1(skc1,skc1)* -> .
% 8.72/8.88 359[0:MRR:358.1,3.0] p102(skc1) || -> .
% 8.72/8.88 388[0:Res:34.1,124.1] p105(u) || r1(skc1,skf48(u))*r r1(skc1,u) -> p106(u).
% 8.72/8.88 5154[0:NCh:51.2,51.1,388.1,15.0] p105(u) || r1(skc1,u) r1(skc1,u) -> p106(u)*.
% 8.72/8.88 5155[0:Obv:5154.1] p105(u) || r1(skc1,u) -> p106(u)*.
% 8.72/8.88 5188[0:Res:5155.2,128.1] p105(skf50(u)) p104(u) || r1(skc1,skf50(u))*r r1(skc1,u) -> p105(u).
% 8.72/8.88 5189[0:MRR:5188.0,82.3] p104(u) || r1(skc1,skf50(u))*r r1(skc1,u) -> p105(u).
% 8.72/8.88 5192[0:NCh:51.2,51.1,5189.1,13.0] p104(u) || r1(skc1,u) r1(skc1,u) -> p105(u)*.
% 8.72/8.88 5193[0:Obv:5192.1] p104(u) || r1(skc1,u) -> p105(u)*.
% 8.72/8.88 5286[0:Res:5193.2,131.1] p104(skf52(u)) p103(u) || r1(skc1,skf52(u))*r r1(skc1,u) -> p104(u).
% 8.72/8.88 5287[0:MRR:5286.0,85.3] p103(u) || r1(skc1,skf52(u))*r r1(skc1,u) -> p104(u).
% 8.72/8.88 5382[0:NCh:51.2,51.1,5287.1,11.0] p103(u) || r1(skc1,u) r1(skc1,u) -> p104(u)*.
% 8.72/8.88 5383[0:Obv:5382.1] p103(u) || r1(skc1,u) -> p104(u)*.
% 8.72/8.88 5476[0:Res:5383.2,134.1] p103(skf54(u)) p102(u) || r1(skc1,skf54(u))*r r1(skc1,u) -> p103(u).
% 8.72/8.88 5477[0:MRR:5476.0,88.3] p102(u) || r1(skc1,skf54(u))*r r1(skc1,u) -> p103(u).
% 8.72/8.88 5570[0:NCh:51.2,51.1,5477.1,9.0] p102(u) || r1(skc1,u) r1(skc1,u) -> p103(u)*.
% 8.72/8.88 5571[0:Obv:5570.1] p102(u) || r1(skc1,u) -> p103(u)*.
% 8.72/8.88 5665[0:Res:5571.2,137.1] p102(skf56(u)) p101(u) || r1(skc1,skf56(u))*r r1(skc1,u) -> p102(u).
% 8.72/8.88 5666[0:MRR:5665.0,91.3] p101(u) || r1(skc1,skf56(u))*r r1(skc1,u) -> p102(u).
% 8.72/8.88 5763[0:Res:7.0,5666.1] p101(skc1) || r1(skc1,skc1) -> p102(skc1)*.
% 8.72/8.88 5764[0:NCh:51.2,51.1,5666.1,7.0] p101(u) || r1(skc1,u) r1(skc1,u) -> p102(u)*.
% 8.72/8.88 5765[0:MRR:5763.1,5763.2,3.0,359.0] p101(skc1) || -> .
% 8.72/8.88 5766[0:Obv:5764.1] p101(u) || r1(skc1,u) -> p102(u)*.
% 8.72/8.88 5860[0:Res:5766.2,140.1] p101(skf58(u)) p100(u) || r1(skc1,skf58(u))*r r1(skc1,u) -> p101(u).
% 8.72/8.88 5861[0:MRR:5860.0,94.3] p100(u) || r1(skc1,skf58(u))*r r1(skc1,u) -> p101(u).
% 8.72/8.88 5953[0:Res:5.0,5861.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*.
% 8.72/8.88 5955[0:SSi:5953.0,1.0] || r1(skc1,skc1) -> p101(skc1)*.
% 8.72/8.88 5956[0:MRR:5955.0,5955.1,3.0,5765.0] || -> .
% 8.72/8.88 % SZS output end Refutation
% 8.72/8.88 Formulae used in the proof : main reflexivity transitivity
% 8.72/8.88
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