%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL061-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 00:42:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL061-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 10:31:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n022.cluster.edu,
% 0.13/0.36 Tue May 31 10:31:22 2022
% 0.13/0.36 The command was "./sos". The process ID is 23666.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.13/0.36
% 0.13/0.36 All clauses are units, and equality is present; the
% 0.13/0.36 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.13/0.36 Following clause subsumed by 4 during input processing: 0 [copy,7,flip.1] {-} apply(apply(t,A),B)=apply(B,A).
% 0.13/0.36
% 0.13/0.36 ======= 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
% 0.20/0.39 SFINDER_TIME_LIMIT: 2
% 0.20/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.39 number of clauses in intial UL: 0
% 0.20/0.39 number of clauses initially in problem: 6
% 0.20/0.39 percentage of clauses intially in UL: 0
% 0.20/0.39 percentage of distinct symbols occuring in initial UL: 0
% 0.20/0.39 percent of all initial clauses that are short: 100
% 0.20/0.39 absolute distinct symbol count: 7
% 0.20/0.39 distinct predicate count: 1
% 0.20/0.39 distinct function count: 1
% 0.20/0.39 distinct constant count: 5
% 0.20/0.39
% 0.20/0.39 ---------- no more Softie stats ----------
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 =========== start of search ===========
% 0.20/0.39
% 0.20/0.39 -------- PROOF --------
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Refutation
% 0.20/0.39
% 0.20/0.39 ----> UNIT CONFLICT at 0.01 sec ----> 34 [binary,33.1,5.1] {+} $F.
% 0.20/0.39
% 0.20/0.39 Length of proof is 6. Level of proof is 4.
% 0.20/0.39
% 0.20/0.39 ---------------- PROOF ----------------
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Refutation
% 0.20/0.39
% 0.20/0.39 1 [] {-} apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),b),x),y),z)!=apply(x,apply(z,y)).
% 0.20/0.39 3,2 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.20/0.39 4 [] {-} apply(apply(t,A),B)=apply(B,A).
% 0.20/0.39 5 [] {+} A=A.
% 0.20/0.39 6 [back_demod,1,demod,3,3] {+} apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z)!=apply(x,apply(z,y)).
% 0.20/0.39 7 [copy,4,flip.1] {-} apply(A,B)=apply(apply(t,B),A).
% 0.20/0.39 9,8 [para_into,7.1.1,4.1.1,flip.1] {-} apply(apply(t,A),apply(t,B))=apply(A,B).
% 0.20/0.39 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)).
% 0.20/0.39 18 [back_demod,6,demod,14,3] {-} apply(x,apply(apply(t,y),z))!=apply(x,apply(z,y)).
% 0.20/0.39 33 [para_into,18.1.1.2,7.1.1,demod,9] {-} apply(x,apply(z,y))!=apply(x,apply(z,y)).
% 0.20/0.39 34 [binary,33.1,5.1] {+} $F.
% 0.20/0.39
% 0.20/0.39 % SZS output end Refutation
% 0.20/0.39 ------------ end of proof -------------
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 Search stopped by max_proofs option.
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 Search stopped by max_proofs option.
% 0.20/0.39
% 0.20/0.39 ============ end of search ============
% 0.20/0.39
% 0.20/0.39 ----------- soft-scott stats ----------
% 0.20/0.39
% 0.20/0.39 true clauses given 2 (22.2%)
% 0.20/0.39 false clauses given 7
% 0.20/0.39
% 0.20/0.39 FALSE TRUE
% 0.20/0.39 13 5 0
% 0.20/0.39 15 5 0
% 0.20/0.39 17 0 1
% 0.20/0.39 21 1 2
% 0.20/0.39 tot: 11 3 (21.4% true)
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.39
% 0.20/0.39 That finishes the proof of the theorem.
% 0.20/0.39
% 0.20/0.39 Process 23666 finished Tue May 31 10:31:22 2022
%------------------------------------------------------------------------------