TSTP Solution File: SWV378+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 21:42:35 EDT 2022
% Result : Theorem 3.65s 3.88s
% Output : Refutation 3.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n006.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 : Wed Jun 15 18:31:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.65/3.88
% 3.65/3.88 SPASS V 3.9
% 3.65/3.88 SPASS beiseite: Proof found.
% 3.65/3.88 % SZS status Theorem
% 3.65/3.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/3.88 SPASS derived 3323 clauses, backtracked 0 clauses, performed 1 splits and kept 2156 clauses.
% 3.65/3.88 SPASS allocated 91312 KBytes.
% 3.65/3.88 SPASS spent 0:00:03.49 on the problem.
% 3.65/3.88 0:00:00.03 for the input.
% 3.65/3.88 0:00:00.04 for the FLOTTER CNF translation.
% 3.65/3.88 0:00:00.09 for inferences.
% 3.65/3.88 0:00:00.01 for the backtracking.
% 3.65/3.88 0:00:03.30 for the reduction.
% 3.65/3.88
% 3.65/3.88
% 3.65/3.88 Here is a proof with depth 3, length 21 :
% 3.65/3.88 % SZS output start Refutation
% 3.65/3.88 10[0:Inp] || ok(triple(skc4,skc5,skc6))* -> .
% 3.65/3.88 11[0:Inp] || -> less_than(u,v)* less_than(v,u)*.
% 3.65/3.88 13[0:Inp] || ok(triple(u,v,bad))* -> .
% 3.65/3.88 14[0:Inp] || -> ok(remove_cpq(triple(skc4,skc5,skc6),skc7))*.
% 3.65/3.88 20[0:Inp] || -> ok(triple(u,v,w))* equal(w,bad).
% 3.65/3.88 26[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*.
% 3.65/3.88 37[0:Inp] || -> contains_slb(u,v) equal(remove_cpq(triple(w,u,x),v),triple(w,u,bad))**.
% 3.65/3.88 49[0:Inp] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v)) -> equal(remove_cpq(triple(w,u,x),v),triple(remove_pqp(w,v),remove_slb(u,v),bad))*.
% 3.65/3.88 50[0:Inp] || contains_slb(u,v) less_than(lookup_slb(u,v),v) -> equal(triple(remove_pqp(w,v),remove_slb(u,v),x),remove_cpq(triple(w,u,x),v))**.
% 3.65/3.88 56[0:MRR:26.0,11.0] || -> strictly_less_than(u,v)* less_than(v,u).
% 3.65/3.88 58[0:Res:20.0,10.0] || -> equal(skc6,bad)**.
% 3.65/3.88 60[0:Rew:58.0,14.0] || -> ok(remove_cpq(triple(skc4,skc5,bad),skc7))*.
% 3.65/3.88 108[0:SpR:37.1,60.0] || -> contains_slb(skc5,skc7) ok(triple(skc4,skc5,bad))*.
% 3.65/3.88 113[0:MRR:108.1,13.0] || -> contains_slb(skc5,skc7)*.
% 3.65/3.88 543[0:SpL:49.2,13.0] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v))* ok(remove_cpq(triple(w,u,x),v))*+ -> .
% 3.65/3.88 590[0:Res:60.0,543.2] || contains_slb(skc5,skc7) strictly_less_than(skc7,lookup_slb(skc5,skc7))* -> .
% 3.65/3.88 591[0:MRR:590.0,113.0] || strictly_less_than(skc7,lookup_slb(skc5,skc7))* -> .
% 3.65/3.88 593[0:Res:56.0,591.0] || -> less_than(lookup_slb(skc5,skc7),skc7)*l.
% 3.65/3.88 623[0:SpL:50.2,13.0] || contains_slb(u,v) less_than(lookup_slb(u,v),v) ok(remove_cpq(triple(w,u,bad),v))* -> .
% 3.65/3.88 3896[0:Res:60.0,623.2] || contains_slb(skc5,skc7) less_than(lookup_slb(skc5,skc7),skc7)*l -> .
% 3.65/3.88 3897[0:MRR:3896.0,3896.1,113.0,593.0] || -> .
% 3.65/3.88 % SZS output end Refutation
% 3.65/3.88 Formulae used in the proof : l14_co totality ax40 ax41 stricly_smaller_definition ax43 ax45 ax44
% 3.65/3.88
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