TSTP Solution File: SYN345-1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : Thu Jul 21 12:20:34 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : Mon Jul 11 19:35:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.40
% 0.12/0.40 SPASS V 3.9
% 0.12/0.40 SPASS beiseite: Proof found.
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40 SPASS derived 7 clauses, backtracked 13 clauses, performed 2 splits and kept 21 clauses.
% 0.12/0.40 SPASS allocated 63092 KBytes.
% 0.12/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.12/0.40 0:00:00.03 for the input.
% 0.12/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40 0:00:00.00 for inferences.
% 0.12/0.40 0:00:00.00 for the backtracking.
% 0.12/0.40 0:00:00.00 for the reduction.
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Here is a proof with depth 1, length 28 :
% 0.12/0.40 % SZS output start Refutation
% 0.12/0.40 1[0:Inp] || f(a,a,b)* -> f(a,b,u)* f(a,b,b).
% 0.12/0.40 3[0:Inp] || f(a,b,b) -> f(b,u,v)* f(a,a,b)*.
% 0.12/0.40 4[0:Inp] || f(u,z__dfg(u,v),z__dfg(u,v))* f(a,b,b) -> f(a,a,b).
% 0.12/0.40 5[0:Inp] || -> f(u,v,z__dfg(u,v))* f(a,a,b) f(a,b,b).
% 0.12/0.40 6[0:Inp] || f(a,a,b) f(a,b,b) -> f(u,v,z__dfg(u,v))*.
% 0.12/0.40 7[0:Inp] || f(b,b,u)* -> f(a,a,b)* f(a,b,b).
% 0.12/0.40 8[0:Inp] || f(b,b,u)* f(a,a,b)* f(a,b,b) -> .
% 0.12/0.40 9[0:Con:1.1] || f(a,a,b)* -> f(a,b,b).
% 0.12/0.40 10[0:MRR:7.1,9.0] || f(b,b,u)*+ -> f(a,b,b)*.
% 0.12/0.40 11[0:MRR:5.1,9.0] || -> f(u,v,z__dfg(u,v))* f(a,b,b).
% 0.12/0.40 12[0:MRR:8.2,10.1] || f(b,b,u)* f(a,a,b)* -> .
% 0.12/0.40 13[0:MRR:6.1,11.1] || f(a,a,b) -> f(u,v,z__dfg(u,v))*.
% 0.12/0.40 14[1:Spt:9.0] || f(a,a,b)* -> .
% 0.12/0.40 15[1:MRR:3.2,14.0] || f(a,b,b)* -> f(b,u,v)*.
% 0.12/0.40 16[1:MRR:4.2,14.0] || f(u,z__dfg(u,v),z__dfg(u,v))* f(a,b,b) -> .
% 0.12/0.40 17[2:Spt:10.1] || -> f(a,b,b)*.
% 0.12/0.40 18[2:MRR:15.0,17.0] || -> f(b,u,v)*.
% 0.12/0.40 19[2:MRR:16.1,17.0] || f(u,z__dfg(u,v),z__dfg(u,v))* -> .
% 0.12/0.40 20[2:UnC:19.0,18.0] || -> .
% 0.12/0.40 21[2:Spt:20.0,10.1,17.0] || f(a,b,b)* -> .
% 0.12/0.40 22[2:Spt:20.0,10.0] || f(b,b,u)* -> .
% 0.12/0.40 23[2:MRR:11.1,21.0] || -> f(u,v,z__dfg(u,v))*.
% 0.12/0.40 24[2:UnC:23.0,22.0] || -> .
% 0.12/0.40 25[1:Spt:24.0,9.0,14.0] || -> f(a,a,b)*.
% 0.12/0.40 26[1:Spt:24.0,9.1] || -> f(a,b,b)*.
% 0.12/0.40 27[1:MRR:12.1,25.0] || f(b,b,u)* -> .
% 0.12/0.40 28[1:MRR:13.0,25.0] || -> f(u,v,z__dfg(u,v))*.
% 0.12/0.40 29[1:UnC:28.0,27.0] || -> .
% 0.12/0.40 % SZS output end Refutation
% 0.12/0.40 Formulae used in the proof : clause1 clause3 clause4 clause5 clause6 clause7 clause8
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