TSTP Solution File: RNG001-5 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 20:41:10 EDT 2022
% Result : Unsatisfiable 39.55s 39.78s
% Output : Refutation 39.55s
% 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 : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.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 : Mon May 30 15:34:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 39.55/39.78
% 39.55/39.78 SPASS V 3.9
% 39.55/39.78 SPASS beiseite: Proof found.
% 39.55/39.78 % SZS status Theorem
% 39.55/39.78 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.55/39.78 SPASS derived 26849 clauses, backtracked 0 clauses, performed 0 splits and kept 17779 clauses.
% 39.55/39.78 SPASS allocated 80680 KBytes.
% 39.55/39.78 SPASS spent 0:0:39.16 on the problem.
% 39.55/39.78 0:00:00.04 for the input.
% 39.55/39.78 0:00:00.00 for the FLOTTER CNF translation.
% 39.55/39.78 0:00:00.22 for inferences.
% 39.55/39.78 0:00:00.00 for the backtracking.
% 39.55/39.78 0:0:38.73 for the reduction.
% 39.55/39.78
% 39.55/39.78
% 39.55/39.78 Here is a proof with depth 6, length 28 :
% 39.55/39.78 % SZS output start Refutation
% 39.55/39.78 12[0:Inp] || equalish(u,v)*+ product(w,x,u)* -> product(w,x,v)*.
% 39.55/39.78 13[0:Inp] || -> sum__dfg(additive_identity,u,u)*.
% 39.55/39.78 14[0:Inp] || -> sum__dfg(u,additive_identity,u)*.
% 39.55/39.78 15[0:Inp] || -> product(u,v,multiply(u,v))*.
% 39.55/39.78 17[0:Inp] || -> sum__dfg(additive_inverse(u),u,additive_identity)*.
% 39.55/39.78 18[0:Inp] || -> sum__dfg(u,additive_inverse(u),additive_identity)*.
% 39.55/39.78 19[0:Inp] || sum__dfg(u,v,w)*+ sum__dfg(x,v,y)* sum__dfg(z,x,u)* -> sum__dfg(z,y,w)*.
% 39.55/39.78 20[0:Inp] || sum__dfg(u,v,w)*+ sum__dfg(x,y,v)* sum__dfg(u,x,z)* -> sum__dfg(z,y,w)*.
% 39.55/39.78 24[0:Inp] || product(u,v,w)*+ sum__dfg(x,y,v)* product(u,y,z)* product(u,x,x1)* -> sum__dfg(x1,z,w)*.
% 39.55/39.78 28[0:Inp] || sum__dfg(u,v,w)*+ sum__dfg(u,v,x)* -> equalish(x,w)*.
% 39.55/39.78 30[0:Inp] || product(a,additive_identity,additive_identity)* -> .
% 39.55/39.78 33[0:Res:12.2,30.0] || equalish(u,additive_identity) product(a,additive_identity,u)* -> .
% 39.55/39.78 45[0:Res:15.0,33.1] || equalish(multiply(a,additive_identity),additive_identity)*l -> .
% 39.55/39.78 52[0:Res:13.0,28.0] || sum__dfg(additive_identity,u,v)* -> equalish(v,u).
% 39.55/39.78 183[0:Res:14.0,20.0] || sum__dfg(u,v,additive_identity)*+ sum__dfg(w,u,x)* -> sum__dfg(x,v,w)*.
% 39.55/39.78 204[0:Res:18.0,19.0] || sum__dfg(u,additive_inverse(v),w)*+ sum__dfg(x,u,v)* -> sum__dfg(x,w,additive_identity)*.
% 39.55/39.78 424[0:Res:15.0,24.0] || sum__dfg(u,v,w)*+ product(x,v,y)* product(x,u,z)* -> sum__dfg(z,y,multiply(x,w))*.
% 39.55/39.78 857[0:Res:17.0,183.0] || sum__dfg(u,additive_inverse(v),w)* -> sum__dfg(w,v,u).
% 39.55/39.78 1500[0:Res:13.0,204.0] || sum__dfg(u,additive_identity,v) -> sum__dfg(u,additive_inverse(v),additive_identity)*.
% 39.55/39.78 1509[0:Res:18.0,204.0] || sum__dfg(u,v,v)*+ -> sum__dfg(u,additive_identity,additive_identity)*.
% 39.55/39.78 4934[0:Res:13.0,424.0] || product(u,v,w) product(u,additive_identity,x) -> sum__dfg(x,w,multiply(u,v))*.
% 39.55/39.78 14807[0:Res:1500.1,857.0] || sum__dfg(u,additive_identity,v)*+ -> sum__dfg(additive_identity,v,u)*.
% 39.55/39.78 23179[0:Res:4934.2,1509.0] || product(u,v,multiply(u,v))* product(u,additive_identity,w)* -> sum__dfg(w,additive_identity,additive_identity).
% 39.55/39.78 23186[0:MRR:23179.0,15.0] || product(u,additive_identity,v)* -> sum__dfg(v,additive_identity,additive_identity).
% 39.55/39.78 26781[0:Res:15.0,23186.0] || -> sum__dfg(multiply(u,additive_identity),additive_identity,additive_identity)*.
% 39.55/39.78 26823[0:Res:26781.0,14807.0] || -> sum__dfg(additive_identity,additive_identity,multiply(u,additive_identity))*.
% 39.55/39.78 26883[0:Res:26823.0,52.0] || -> equalish(multiply(u,additive_identity),additive_identity)*l.
% 39.55/39.78 26889[0:UnC:26883.0,45.0] || -> .
% 39.55/39.78 % SZS output end Refutation
% 39.55/39.78 Formulae used in the proof : product_substitution3 additive_identity1 additive_identity2 closure_of_multiplication left_inverse right_inverse associativity_of_addition1 associativity_of_addition2 distributivity1 addition_is_well_defined prove_multiplicative_identity_axiom
% 39.55/39.78
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