TSTP Solution File: DAT089_1 by SPASS+T---2.2.22
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% File : SPASS+T---2.2.22
% Problem : DAT089_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n015.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 : Sat Jul 16 01:32:10 EDT 2022
% Result : Theorem 0.83s 1.07s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT089_1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.12 % Command : spasst-tptp-script %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 19:41:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % Using integer theory
% 0.83/1.07
% 0.83/1.07
% 0.83/1.07 % SZS status Theorem for /tmp/SPASST_11253_n015.cluster.edu
% 0.83/1.07
% 0.83/1.07 SPASS V 2.2.22 in combination with yices.
% 0.83/1.07 SPASS beiseite: Proof found by SPASS.
% 0.83/1.07 Problem: /tmp/SPASST_11253_n015.cluster.edu
% 0.83/1.07 SPASS derived 151 clauses, backtracked 0 clauses and kept 139 clauses.
% 0.83/1.07 SPASS backtracked 1 times (0 times due to theory inconsistency).
% 0.83/1.07 SPASS allocated 6505 KBytes.
% 0.83/1.07 SPASS spent 0:00:00.03 on the problem.
% 0.83/1.07 0:00:00.00 for the input.
% 0.83/1.07 0:00:00.01 for the FLOTTER CNF translation.
% 0.83/1.07 0:00:00.00 for inferences.
% 0.83/1.07 0:00:00.00 for the backtracking.
% 0.83/1.07 0:00:00.01 for the reduction.
% 0.83/1.07 0:00:00.00 for interacting with the SMT procedure.
% 0.83/1.07
% 0.83/1.07
% 0.83/1.07 % SZS output start CNFRefutation for /tmp/SPASST_11253_n015.cluster.edu
% 0.83/1.07
% 0.83/1.07 % Here is a proof with depth 3, length 19 :
% 0.83/1.07 4[0:Inp] || -> list(nil)*.
% 0.83/1.07 6[0:Inp] || -> equal(length(nil),0)**.
% 0.83/1.07 9[0:Inp] || -> equal(count(U,nil),0)**.
% 0.83/1.07 13[0:Inp] || list(U) -> list(cons(V,U))*.
% 0.83/1.07 18[0:Inp] || list(U) -> greatereq(count(V,U),length(U))*.
% 0.83/1.07 23[0:Inp] || list(U) -> equal(length(cons(V,U)),plus(1,length(U)))**.
% 0.83/1.07 27[0:Inp] || list(U) -> equal(V,W) equal(count(V,cons(W,U)),count(V,U))**.
% 0.83/1.07 67[0:ArS:18.1] || list(U) -> lesseq(length(U),count(V,U))*.
% 0.83/1.07 68[0:ArS:23.1] || list(U) -> equal(length(cons(V,U)),plus(length(U),1))**.
% 0.83/1.07 122[0:SpR:68.1,67.1] || list(U) list(cons(V,U)) -> lesseq(plus(length(U),1),count(W,cons(V,U)))*.
% 0.83/1.07 124[0:MRR:122.1,13.1] || list(U) -> lesseq(plus(length(U),1),count(V,cons(W,U)))*.
% 0.83/1.07 175[0:SpR:6.0,124.1] || list(nil) -> lesseq(plus(0,1),count(U,cons(V,nil)))*.
% 0.83/1.07 180[0:ArS:175.1] || list(nil) -> lesseq(1,count(U,cons(V,nil)))*.
% 0.83/1.07 181[0:MRR:180.0,4.0] || -> lesseq(1,count(U,cons(V,nil)))*.
% 0.83/1.07 298[0:SpR:27.2,181.0] || list(nil) -> equal(U,V)* lesseq(1,count(U,nil))*.
% 0.83/1.07 310[0:BLD:298.1] || list(nil) -> lesseq(1,count(U,nil))*.
% 0.83/1.07 311[0:Rew:9.0,310.1] || list(nil)* -> lesseq(1,0).
% 0.83/1.07 312[0:ArS:311.1] || list(nil)* -> .
% 0.83/1.07 313(e)[0:MRR:312.0,4.0] || -> .
% 0.83/1.07
% 0.83/1.07 % SZS output end CNFRefutation for /tmp/SPASST_11253_n015.cluster.edu
% 0.83/1.07
% 0.83/1.07 Formulae used in the proof : fof_head_type fof_list_type fof_in_conv fof_nil_type fof_tail_type fof_l1 fof_a_8 fof_inRange fof_t_5 fof_l_6
% 0.83/1.10
% 0.83/1.10 SPASS+T ended
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