%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL063-4 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 00:42:09 EDT 2022
% Result : Unsatisfiable 0.12s 0.32s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COL063-4 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.00/0.08 % Command : sos-script %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Tue May 31 05:09:43 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.12/0.28 ----- Otter 3.2, August 2001 -----
% 0.12/0.28 The process was started by sandbox2 on n032.cluster.edu,
% 0.12/0.28 Tue May 31 05:09:43 2022
% 0.12/0.28 The command was "./sos". The process ID is 452.
% 0.12/0.28
% 0.12/0.28 set(prolog_style_variables).
% 0.12/0.28 set(auto).
% 0.12/0.28 dependent: set(auto1).
% 0.12/0.28 dependent: set(process_input).
% 0.12/0.28 dependent: clear(print_kept).
% 0.12/0.28 dependent: clear(print_new_demod).
% 0.12/0.28 dependent: clear(print_back_demod).
% 0.12/0.28 dependent: clear(print_back_sub).
% 0.12/0.28 dependent: set(control_memory).
% 0.12/0.28 dependent: assign(max_mem, 12000).
% 0.12/0.28 dependent: assign(pick_given_ratio, 4).
% 0.12/0.28 dependent: assign(stats_level, 1).
% 0.12/0.28 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.28 dependent: assign(sos_limit, 5000).
% 0.12/0.28 dependent: assign(max_weight, 60).
% 0.12/0.28 clear(print_given).
% 0.12/0.28
% 0.12/0.28 list(usable).
% 0.12/0.28
% 0.12/0.28 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.12/0.28
% 0.12/0.28 All clauses are units, and equality is present; the
% 0.12/0.28 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.12/0.28
% 0.12/0.28 dependent: set(knuth_bendix).
% 0.12/0.28 dependent: set(para_from).
% 0.12/0.28 dependent: set(para_into).
% 0.12/0.28 dependent: clear(para_from_right).
% 0.12/0.28 dependent: clear(para_into_right).
% 0.12/0.28 dependent: set(para_from_vars).
% 0.12/0.28 dependent: set(eq_units_both_ways).
% 0.12/0.28 dependent: set(dynamic_demod_all).
% 0.12/0.28 dependent: set(dynamic_demod).
% 0.12/0.28 dependent: set(order_eq).
% 0.12/0.28 dependent: set(back_demod).
% 0.12/0.28 dependent: set(lrpo).
% 0.12/0.28
% 0.12/0.28 ------------> process usable:
% 0.12/0.28
% 0.12/0.28 ------------> process sos:
% 0.12/0.28 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.12/0.28 Following clause subsumed by 4 during input processing: 0 [copy,7,flip.1] {-} apply(apply(t,A),B)=apply(B,A).
% 0.12/0.28
% 0.12/0.28 ======= end of input processing =======
% 0.12/0.31
% 0.12/0.31 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.31
% 0.12/0.31 Stopped by limit on number of solutions
% 0.12/0.31
% 0.12/0.31
% 0.12/0.31 -------------- Softie stats --------------
% 0.12/0.31
% 0.12/0.31 UPDATE_STOP: 300
% 0.12/0.31 SFINDER_TIME_LIMIT: 2
% 0.12/0.31 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.31 number of clauses in intial UL: 0
% 0.12/0.31 number of clauses initially in problem: 6
% 0.12/0.31 percentage of clauses intially in UL: 0
% 0.12/0.31 percentage of distinct symbols occuring in initial UL: 0
% 0.12/0.31 percent of all initial clauses that are short: 100
% 0.12/0.31 absolute distinct symbol count: 7
% 0.12/0.31 distinct predicate count: 1
% 0.12/0.31 distinct function count: 1
% 0.12/0.31 distinct constant count: 5
% 0.12/0.31
% 0.12/0.31 ---------- no more Softie stats ----------
% 0.12/0.31
% 0.12/0.31
% 0.12/0.31
% 0.12/0.31 =========== start of search ===========
% 0.12/0.32
% 0.12/0.32 -------- PROOF --------
% 0.12/0.32 % SZS status Unsatisfiable
% 0.12/0.32 % SZS output start Refutation
% 0.12/0.32
% 0.12/0.32 ----> UNIT CONFLICT at 0.02 sec ----> 207 [binary,206.1,7.1] {-} $F.
% 0.12/0.32
% 0.12/0.32 Length of proof is 10. Level of proof is 5.
% 0.12/0.32
% 0.12/0.32 ---------------- PROOF ----------------
% 0.12/0.32 % SZS status Unsatisfiable
% 0.12/0.32 % SZS output start Refutation
% 0.12/0.32
% 0.12/0.32 1 [] {-} apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,apply(apply(b,b),b)),t)),x),y),z)!=apply(apply(z,y),x).
% 0.12/0.32 3,2 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.12/0.32 4 [] {-} apply(apply(t,A),B)=apply(B,A).
% 0.12/0.32 6 [back_demod,1,demod,3,3,3] {+} apply(apply(apply(apply(t,t),apply(b,apply(b,apply(t,x)))),y),z)!=apply(apply(z,y),x).
% 0.12/0.32 7 [copy,4,flip.1] {-} apply(A,B)=apply(apply(t,B),A).
% 0.12/0.32 12 [para_from,7.1.1,4.1.1.1] {-} apply(apply(apply(t,A),t),B)=apply(B,A).
% 0.12/0.32 14,13 [para_from,7.1.1,2.1.1.1] {-} apply(apply(apply(t,A),apply(b,B)),C)=apply(B,apply(A,C)).
% 0.12/0.32 17 [copy,12,flip.1] {-} apply(A,B)=apply(apply(apply(t,B),t),A).
% 0.12/0.32 18 [back_demod,6,demod,14,3,flip.1] {+} apply(apply(z,y),x)!=apply(apply(t,x),apply(apply(t,y),z)).
% 0.12/0.32 28 [para_into,12.1.1.1.1,7.1.1] {-} apply(apply(apply(apply(t,A),t),t),B)=apply(B,A).
% 0.12/0.32 29 [copy,28,flip.1] {-} apply(A,B)=apply(apply(apply(apply(t,B),t),t),A).
% 0.12/0.32 33,32 [para_into,17.1.1,7.1.1,flip.1] {-} apply(apply(apply(t,A),t),B)=apply(apply(t,A),B).
% 0.12/0.32 206 [para_into,18.1.1.1,29.1.1,demod,33,33] {-} apply(apply(apply(t,y),z),x)!=apply(apply(t,x),apply(apply(t,y),z)).
% 0.12/0.32 207 [binary,206.1,7.1] {-} $F.
% 0.12/0.32
% 0.12/0.32 % SZS output end Refutation
% 0.12/0.32 ------------ end of proof -------------
% 0.12/0.32
% 0.12/0.32
% 0.12/0.32 Search stopped by max_proofs option.
% 0.12/0.32
% 0.12/0.32
% 0.12/0.32 Search stopped by max_proofs option.
% 0.12/0.32
% 0.12/0.32 ============ end of search ============
% 0.12/0.32
% 0.12/0.32 ----------- soft-scott stats ----------
% 0.12/0.32
% 0.12/0.32 true clauses given 3 (14.3%)
% 0.12/0.32 false clauses given 18
% 0.12/0.32
% 0.12/0.32 FALSE TRUE
% 0.12/0.32 17 25 1
% 0.12/0.32 19 22 1
% 0.12/0.32 21 31 1
% 0.12/0.32 23 60 4
% 0.12/0.32 25 0 4
% 0.12/0.32 29 0 1
% 0.12/0.32 tot: 138 12 (8.0% true)
% 0.12/0.32
% 0.12/0.32
% 0.12/0.32 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.32
% 0.12/0.32 That finishes the proof of the theorem.
% 0.12/0.32
% 0.12/0.32 Process 452 finished Tue May 31 05:09:43 2022
%------------------------------------------------------------------------------