%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 19:50:10 EDT 2022
% Result : Unsatisfiable 2.22s 2.41s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n023.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 9 02:18:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.63 ----- Otter 3.2, August 2001 -----
% 0.39/0.63 The process was started by sandbox on n023.cluster.edu,
% 0.39/0.63 Sat Jul 9 02:18:56 2022
% 0.39/0.63 The command was "./sos". The process ID is 7993.
% 0.39/0.63
% 0.39/0.63 set(prolog_style_variables).
% 0.39/0.63 set(auto).
% 0.39/0.63 dependent: set(auto1).
% 0.39/0.63 dependent: set(process_input).
% 0.39/0.63 dependent: clear(print_kept).
% 0.39/0.63 dependent: clear(print_new_demod).
% 0.39/0.63 dependent: clear(print_back_demod).
% 0.39/0.63 dependent: clear(print_back_sub).
% 0.39/0.63 dependent: set(control_memory).
% 0.39/0.63 dependent: assign(max_mem, 12000).
% 0.39/0.63 dependent: assign(pick_given_ratio, 4).
% 0.39/0.63 dependent: assign(stats_level, 1).
% 0.39/0.63 dependent: assign(pick_semantic_ratio, 3).
% 0.39/0.63 dependent: assign(sos_limit, 5000).
% 0.39/0.63 dependent: assign(max_weight, 60).
% 0.39/0.63 clear(print_given).
% 0.39/0.63
% 0.39/0.63 list(usable).
% 0.39/0.63
% 0.39/0.63 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=20.
% 0.39/0.63
% 0.39/0.63 This is a non-Horn set without equality. The strategy
% 0.39/0.63 will be ordered hyper_res, ur_res, unit deletion, and
% 0.39/0.63 factoring, with satellites in sos and nuclei in usable.
% 0.39/0.63
% 0.39/0.63 dependent: set(hyper_res).
% 0.39/0.63 dependent: set(factor).
% 0.39/0.63 dependent: set(unit_deletion).
% 0.39/0.63
% 0.39/0.63 ------------> process usable:
% 0.39/0.63 40 back subsumes 38.
% 0.39/0.63 42 back subsumes 37.
% 0.39/0.63 50 back subsumes 39.
% 0.39/0.63
% 0.39/0.63 ------------> process sos:
% 0.39/0.63
% 0.39/0.63 ======= end of input processing =======
% 1.89/2.07
% 1.89/2.07 Model 1 (0.00 seconds, 0 Inserts)
% 1.89/2.07
% 1.89/2.07 Stopped by limit on number of solutions
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07 -------------- Softie stats --------------
% 1.89/2.07
% 1.89/2.07 UPDATE_STOP: 300
% 1.89/2.07 SFINDER_TIME_LIMIT: 2
% 1.89/2.07 SHORT_CLAUSE_CUTOFF: 4
% 1.89/2.07 number of clauses in intial UL: 57
% 1.89/2.07 number of clauses initially in problem: 58
% 1.89/2.07 percentage of clauses intially in UL: 98
% 1.89/2.07 percentage of distinct symbols occuring in initial UL: 100
% 1.89/2.07 percent of all initial clauses that are short: 100
% 1.89/2.07 absolute distinct symbol count: 8
% 1.89/2.07 distinct predicate count: 3
% 1.89/2.07 distinct function count: 3
% 1.89/2.07 distinct constant count: 2
% 1.89/2.07
% 1.89/2.07 ---------- no more Softie stats ----------
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07 Stopped by limit on insertions
% 1.89/2.07
% 1.89/2.07 =========== start of search ===========
% 2.22/2.41
% 2.22/2.41 -------- PROOF --------
% 2.22/2.41 % SZS status Unsatisfiable
% 2.22/2.41 % SZS output start Refutation
% 2.22/2.41
% 2.22/2.41 Stopped by limit on insertions
% 2.22/2.41
% 2.22/2.41 Model 2 [ 1 1 2829 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.41
% 2.22/2.41 -----> EMPTY CLAUSE at 2.03 sec ----> 80 [hyper,78,50,69,70,67,73,66,77] {-} $F.
% 2.22/2.41
% 2.22/2.41 Length of proof is 16. Level of proof is 7.
% 2.22/2.41
% 2.22/2.41 ---------------- PROOF ----------------
% 2.22/2.41 % SZS status Unsatisfiable
% 2.22/2.41 % SZS output start Refutation
% 2.22/2.41
% 2.22/2.41 7 [] {+} -'LE'(f(A),s('0'))|'E'('0',f(A))|'LE'(f(A),'0').
% 2.22/2.41 10 [] {+} -'LE'(f(suc(suc(A))),s('0'))|'E'('0',f(suc(suc(A))))|'LE'(f(A),'0').
% 2.22/2.41 13 [] {+} -'E'('0',f(suc(suc(suc(A)))))| -'E'('0',f(suc(A)))| -'E'('0',f(suc(suc(A))))| -'E'('0',f(A))| -'E'(f(A),f(suc(suc(A))))| -'E'(f(A),f(suc(A)))|iLEQ(suc(A),suc(A)).
% 2.22/2.41 14 [] {+} -'E'('0',f(suc(suc(A))))| -iLEQ(suc(B),suc(A))| -'E'('0',f(suc(C)))| -'E'('0',f(suc(B)))| -'E'(f(C),f(suc(C)))| -'E'('0',f(suc(suc(B))))| -'E'('0',f(B))| -'E'('0',f(suc(suc(C))))| -iLEQ(suc(A),suc(C))| -'E'(f(B),f(suc(B)))| -'E'('0',f(A))| -'E'('0',f(C))| -'E'(f(A),f(suc(A)))| -'E'('0',f(suc(A)))|'E'(f(B),f(suc(suc(B))))|'E'(f(A),f(suc(suc(A))))|'E'(f(C),f(suc(suc(C)))).
% 2.22/2.41 18 [] {+} -'LE'(f(suc(A)),s('0'))|'E'('0',f(suc(A)))|'LE'(f(A),'0').
% 2.22/2.41 20 [] {+} -iLEQ(suc(A),suc(B))| -'E'('0',f(suc(C)))| -'E'('0',f(suc(A)))| -'E'('0',f(A))| -iLEQ(suc(B),suc(C))| -'E'('0',f(B))| -'E'('0',f(C))| -'E'('0',f(suc(B)))|'E'(f(A),f(suc(A)))|'E'(f(B),f(suc(B)))|'E'(f(C),f(suc(C))).
% 2.22/2.41 21 [] {+} -'LE'(f(suc(suc(suc(A)))),s('0'))|'E'('0',f(suc(suc(suc(A)))))|'LE'(f(A),'0').
% 2.22/2.41 23 [] {+} -'E'('0',f(suc(suc(suc(A)))))| -'E'('0',f(suc(suc(B))))| -iLEQ(suc(A),suc(B))| -'E'('0',f(suc(C)))| -'E'('0',f(suc(A)))| -'E'(f(C),f(suc(C)))| -'E'('0',f(suc(suc(A))))| -'E'('0',f(A))| -'E'('0',f(suc(suc(C))))| -'E'('0',f(suc(suc(suc(B)))))| -'E'(f(A),f(suc(suc(A))))| -iLEQ(suc(B),suc(C))| -'E'(f(A),f(suc(A)))| -'E'('0',f(B))| -'E'(f(C),f(suc(suc(C))))| -'E'(f(B),f(suc(suc(B))))| -'E'('0',f(suc(suc(suc(C)))))| -'E'('0',f(C))| -'E'(f(B),f(suc(B)))| -'E'('0',f(suc(B))).
% 2.22/2.41 25 [] {+} -'E'('0',f(suc(suc(A))))| -'E'('0',f(suc(A)))| -'E'(f(A),f(suc(A)))| -'E'('0',f(A))|'E'(f(A),f(suc(suc(A))))|iLEQ(suc(A),suc(A)).
% 2.22/2.41 27 [] {+} -'LE'(f(z),'0').
% 2.22/2.41 33 [] {+} -'E'('0',f(A))| -'E'('0',f(suc(A)))|'E'(f(A),f(suc(A)))|iLEQ(suc(A),suc(A)).
% 2.22/2.41 40 [factor,14.1.6,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} -'E'('0',f(suc(suc(A))))| -iLEQ(suc(A),suc(A))| -'E'('0',f(suc(A)))| -'E'(f(A),f(suc(A)))| -'E'('0',f(A))|'E'(f(A),f(suc(suc(A)))).
% 2.22/2.41 43 [factor,20.2.3,factor_simp,factor_simp] {+} -iLEQ(suc(A),suc(B))| -'E'('0',f(suc(A)))| -'E'('0',f(A))| -iLEQ(suc(B),suc(A))| -'E'('0',f(B))| -'E'('0',f(suc(B)))|'E'(f(A),f(suc(A)))|'E'(f(B),f(suc(B))).
% 2.22/2.41 50 [factor,23.1.10,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} -'E'('0',f(suc(suc(suc(A)))))| -'E'('0',f(suc(suc(A))))| -iLEQ(suc(A),suc(A))| -'E'('0',f(suc(A)))| -'E'(f(A),f(suc(A)))| -'E'('0',f(A))| -'E'(f(A),f(suc(suc(A)))).
% 2.22/2.41 61 [] {-} 'LE'(f(A),s('0')).
% 2.22/2.41 62 [hyper,61,21] {-} 'E'('0',f(suc(suc(suc(A)))))|'LE'(f(A),'0').
% 2.22/2.41 63 [hyper,61,18] {-} 'E'('0',f(suc(A)))|'LE'(f(A),'0').
% 2.22/2.41 64 [hyper,61,10] {-} 'E'('0',f(suc(suc(A))))|'LE'(f(A),'0').
% 2.22/2.41 65 [hyper,61,7] {+} 'E'('0',f(A))|'LE'(f(A),'0').
% 2.22/2.41 66 [hyper,65,27] {+} 'E'('0',f(z)).
% 2.22/2.41 67 [hyper,63,27] {-} 'E'('0',f(suc(z))).
% 2.22/2.41 68 [hyper,66,33,67] {+} 'E'(f(z),f(suc(z)))|iLEQ(suc(z),suc(z)).
% 2.22/2.41 69 [hyper,62,27] {-} 'E'('0',f(suc(suc(suc(z))))).
% 2.22/2.41 70 [hyper,64,27] {-} 'E'('0',f(suc(suc(z)))).
% 2.22/2.41 73 [hyper,68,43,68,67,66,66,67,factor_simp,factor_simp,factor_simp] {-} 'E'(f(z),f(suc(z))).
% 2.22/2.41 75 [hyper,73,25,70,67,66] {+} 'E'(f(z),f(suc(suc(z))))|iLEQ(suc(z),suc(z)).
% 2.22/2.41 77 [hyper,75,40,70,67,73,66,factor_simp] {-} 'E'(f(z),f(suc(suc(z)))).
% 2.22/2.41 78 [hyper,77,13,69,67,70,66,73] {+} iLEQ(suc(z),suc(z)).
% 2.22/2.41 80 [hyper,78,50,69,70,67,73,66,77] {-} $F.
% 2.22/2.41
% 2.22/2.41 % SZS output end Refutation
% 2.22/2.41 ------------ end of proof -------------
% 2.22/2.41
% 2.22/2.41
% 2.22/2.41 Search stopped by max_proofs option.
% 2.22/2.41
% 2.22/2.41
% 2.22/2.41 Search stopped by max_proofs option.
% 2.22/2.41
% 2.22/2.41 ============ end of search ============
% 2.22/2.41
% 2.22/2.41 ----------- soft-scott stats ----------
% 2.22/2.41
% 2.22/2.41 true clauses given 6 (35.3%)
% 2.22/2.41 false clauses given 11
% 2.22/2.41
% 2.22/2.41 FALSE TRUE
% 2.22/2.41 10 1 0
% 2.22/2.41 16 0 1
% 2.22/2.41 tot: 1 1 (50.0% true)
% 2.22/2.41
% 2.22/2.41
% 2.22/2.41 Model 2 [ 1 1 2829 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.41
% 2.22/2.41 That finishes the proof of the theorem.
% 2.22/2.41
% 2.22/2.41 Process 7993 finished Sat Jul 9 02:18:58 2022
%------------------------------------------------------------------------------