%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 : Fri Jul 15 00:42:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n020.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 : Tue May 31 04:13:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n020.cluster.edu,
% 0.13/0.35 Tue May 31 04:13:38 2022
% 0.13/0.35 The command was "./sos". The process ID is 7905.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.13/0.35
% 0.13/0.35 All clauses are units, and equality is present; the
% 0.13/0.35 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.13/0.35 Following clause subsumed by 6 during input processing: 0 [copy,9,flip.1] {-} apply(apply(w,A),B)=apply(apply(A,B),B).
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.20/0.38
% 0.20/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38
% 0.20/0.38 Stopped by limit on number of solutions
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 -------------- Softie stats --------------
% 0.20/0.38
% 0.20/0.38 UPDATE_STOP: 300
% 0.20/0.38 SFINDER_TIME_LIMIT: 2
% 0.20/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38 number of clauses in intial UL: 0
% 0.20/0.38 number of clauses initially in problem: 8
% 0.20/0.38 percentage of clauses intially in UL: 0
% 0.20/0.38 percentage of distinct symbols occuring in initial UL: 0
% 0.20/0.38 percent of all initial clauses that are short: 100
% 0.20/0.38 absolute distinct symbol count: 8
% 0.20/0.38 distinct predicate count: 1
% 0.20/0.38 distinct function count: 1
% 0.20/0.38 distinct constant count: 6
% 0.20/0.38
% 0.20/0.38 ---------- no more Softie stats ----------
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 =========== start of search ===========
% 0.20/0.38
% 0.20/0.38 -------- PROOF --------
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Refutation
% 0.20/0.38
% 0.20/0.38 ----> UNIT CONFLICT at 0.01 sec ----> 110 [binary,109.1,7.1] {-} $F.
% 0.20/0.38
% 0.20/0.38 Length of proof is 2. Level of proof is 2.
% 0.20/0.38
% 0.20/0.38 ---------------- PROOF ----------------
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Refutation
% 0.20/0.38
% 0.20/0.38 1 [] {-} apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z)!=apply(apply(x,y),apply(apply(x,y),z)).
% 0.20/0.38 5,4 [] {-} apply(apply(apply(q,A),B),C)=apply(B,apply(A,C)).
% 0.20/0.38 6 [] {-} apply(apply(w,A),B)=apply(apply(A,B),B).
% 0.20/0.38 7 [] {+} A=A.
% 0.20/0.38 8 [back_demod,1,demod,5] {+} apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z)!=apply(apply(x,y),apply(apply(x,y),z)).
% 0.20/0.38 109 [para_into,8.1.1.1.1.1,6.1.1,demod,5,5,5,5,5] {-} apply(apply(x,y),apply(apply(x,y),z))!=apply(apply(x,y),apply(apply(x,y),z)).
% 0.20/0.38 110 [binary,109.1,7.1] {-} $F.
% 0.20/0.38
% 0.20/0.38 % SZS output end Refutation
% 0.20/0.38 ------------ end of proof -------------
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 Search stopped by max_proofs option.
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 Search stopped by max_proofs option.
% 0.20/0.38
% 0.20/0.38 ============ end of search ============
% 0.20/0.38
% 0.20/0.38 ----------- soft-scott stats ----------
% 0.20/0.38
% 0.20/0.38 true clauses given 2 (18.2%)
% 0.20/0.38 false clauses given 9
% 0.20/0.38
% 0.20/0.38 FALSE TRUE
% 0.20/0.38 13 7 0
% 0.20/0.38 15 8 0
% 0.20/0.38 17 14 0
% 0.20/0.38 19 18 1
% 0.20/0.38 21 11 0
% 0.20/0.38 23 6 3
% 0.20/0.38 25 3 0
% 0.20/0.38 27 0 2
% 0.20/0.38 29 1 0
% 0.20/0.38 tot: 68 6 (8.1% true)
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38
% 0.20/0.38 That finishes the proof of the theorem.
% 0.20/0.38
% 0.20/0.38 Process 7905 finished Tue May 31 04:13:38 2022
%------------------------------------------------------------------------------