%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 13:02:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n027.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 : Fri Jul 1 13:37:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox on n027.cluster.edu,
% 0.18/0.35 Fri Jul 1 13:37:52 2022
% 0.18/0.35 The command was "./sos". The process ID is 7525.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=6.
% 0.18/0.35
% 0.18/0.35 This is a Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.18/0.35 sos and nonpositive clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: clear(order_hyper).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.37
% 0.18/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37
% 0.18/0.37 Stopped by limit on number of solutions
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 -------------- Softie stats --------------
% 0.18/0.37
% 0.18/0.37 UPDATE_STOP: 300
% 0.18/0.37 SFINDER_TIME_LIMIT: 2
% 0.18/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37 number of clauses in intial UL: 7
% 0.18/0.37 number of clauses initially in problem: 13
% 0.18/0.37 percentage of clauses intially in UL: 53
% 0.18/0.37 percentage of distinct symbols occuring in initial UL: 71
% 0.18/0.37 percent of all initial clauses that are short: 100
% 0.18/0.37 absolute distinct symbol count: 7
% 0.18/0.37 distinct predicate count: 3
% 0.18/0.37 distinct function count: 1
% 0.18/0.37 distinct constant count: 3
% 0.18/0.37
% 0.18/0.37 ---------- no more Softie stats ----------
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 =========== start of search ===========
% 0.18/0.53
% 0.18/0.53 -------- PROOF --------
% 0.18/0.53 % SZS status Unsatisfiable
% 0.18/0.53 % SZS output start Refutation
% 0.18/0.53
% 0.18/0.53 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.53
% 0.18/0.53 Stopped by limit on number of solutions
% 0.18/0.53
% 0.18/0.53 Model 3 [ 2 0 203 ] (0.00 seconds, 831 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 4 [ 3 1 500 ] (0.00 seconds, 1430 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 5 [ 4 1 61 ] (0.00 seconds, 2065 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 6 [ 6 1 758 ] (0.00 seconds, 2190 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 7 [ 8 2 1063 ] (0.00 seconds, 4734 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 8 [ 6 1 479 ] (0.00 seconds, 1968 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 9 [ 9 1 353 ] (0.00 seconds, 4236 Inserts)
% 0.18/0.53
% 0.18/0.53 Model 10 [ 10 1 115 ] (0.00 seconds, 1883 Inserts)
% 0.18/0.53
% 0.18/0.53 ----> UNIT CONFLICT at 0.15 sec ----> 131 [binary,130.1,7.1] {-} $F.
% 0.18/0.53
% 0.18/0.53 Length of proof is 8. Level of proof is 7.
% 0.18/0.53
% 0.18/0.53 ---------------- PROOF ----------------
% 0.18/0.53 % SZS status Unsatisfiable
% 0.18/0.53 % SZS output start Refutation
% 0.18/0.53
% 0.18/0.53 1 [] {+} -less_equal(A,B)|quotient(A,B,zero).
% 0.18/0.53 2 [] {+} -quotient(A,B,zero)|less_equal(A,B).
% 0.18/0.53 3 [] {+} -quotient(A,B,C)|less_equal(C,A).
% 0.18/0.53 4 [] {+} -quotient(A,B,C)| -quotient(B,D,E)| -quotient(A,D,F)| -quotient(F,E,G)| -quotient(C,D,H)|less_equal(G,H).
% 0.18/0.53 5 [] {+} -less_equal(A,B)| -less_equal(B,A)|A=B.
% 0.18/0.53 7 [] {+} -quotient(x,x,zero).
% 0.18/0.53 8 [] {+} less_equal(zero,A).
% 0.18/0.53 10 [] {-} quotient(A,B,divide(A,B)).
% 0.18/0.53 19 [hyper,10,3] {+} less_equal(divide(A,B),A).
% 0.18/0.53 21 [para_into,10.1.3,5.3.1] {+} quotient(A,B,C)| -less_equal(divide(A,B),C)| -less_equal(C,divide(A,B)).
% 0.18/0.53 24 [hyper,19,1] {+} quotient(divide(A,B),A,zero).
% 0.18/0.53 58 [hyper,24,4,10,24,10,10] {+} less_equal(divide(divide(A,A),zero),zero).
% 0.18/0.53 69 [hyper,58,5,8,flip.1] {+} divide(divide(A,A),zero)=zero.
% 0.18/0.53 99 [para_from,69.1.1,10.1.3] {+} quotient(divide(A,A),zero,zero).
% 0.18/0.53 103 [hyper,99,2] {+} less_equal(divide(A,A),zero).
% 0.18/0.53 130 [hyper,103,21,8] {-} quotient(A,A,zero).
% 0.18/0.53 131 [binary,130.1,7.1] {-} $F.
% 0.18/0.53
% 0.18/0.53 % SZS output end Refutation
% 0.18/0.53 ------------ end of proof -------------
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Search stopped by max_proofs option.
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Search stopped by max_proofs option.
% 0.18/0.53
% 0.18/0.53 ============ end of search ============
% 0.18/0.53
% 0.18/0.53 ----------- soft-scott stats ----------
% 0.18/0.53
% 0.18/0.53 true clauses given 10 (40.0%)
% 0.18/0.53 false clauses given 15
% 0.18/0.53
% 0.18/0.53 FALSE TRUE
% 0.18/0.53 9 0 4
% 0.18/0.53 10 0 3
% 0.18/0.53 11 0 5
% 0.18/0.53 12 1 5
% 0.18/0.53 13 2 5
% 0.18/0.53 14 2 6
% 0.18/0.53 15 0 7
% 0.18/0.53 16 0 3
% 0.18/0.53 17 2 4
% 0.18/0.53 18 2 5
% 0.18/0.53 19 2 8
% 0.18/0.53 20 2 4
% 0.18/0.53 21 2 8
% 0.18/0.53 22 6 0
% 0.18/0.53 23 0 1
% 0.18/0.53 25 0 1
% 0.18/0.53 tot: 21 69 (76.7% true)
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Model 10 [ 10 1 115 ] (0.00 seconds, 1883 Inserts)
% 0.18/0.53
% 0.18/0.53 That finishes the proof of the theorem.
% 0.18/0.53
% 0.18/0.53 Process 7525 finished Fri Jul 1 13:37:52 2022
%------------------------------------------------------------------------------