TSTP Solution File: COL049-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:42:06 EDT 2022
% Result : Unsatisfiable 0.14s 0.35s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : COL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : sos-script %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue May 31 12:52:58 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.31 ----- Otter 3.2, August 2001 -----
% 0.14/0.31 The process was started by sandbox on n032.cluster.edu,
% 0.14/0.31 Tue May 31 12:52:58 2022
% 0.14/0.31 The command was "./sos". The process ID is 24203.
% 0.14/0.31
% 0.14/0.31 set(prolog_style_variables).
% 0.14/0.31 set(auto).
% 0.14/0.31 dependent: set(auto1).
% 0.14/0.31 dependent: set(process_input).
% 0.14/0.31 dependent: clear(print_kept).
% 0.14/0.31 dependent: clear(print_new_demod).
% 0.14/0.31 dependent: clear(print_back_demod).
% 0.14/0.31 dependent: clear(print_back_sub).
% 0.14/0.31 dependent: set(control_memory).
% 0.14/0.31 dependent: assign(max_mem, 12000).
% 0.14/0.31 dependent: assign(pick_given_ratio, 4).
% 0.14/0.31 dependent: assign(stats_level, 1).
% 0.14/0.31 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.31 dependent: assign(sos_limit, 5000).
% 0.14/0.31 dependent: assign(max_weight, 60).
% 0.14/0.31 clear(print_given).
% 0.14/0.31
% 0.14/0.31 list(usable).
% 0.14/0.31
% 0.14/0.31 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.14/0.31
% 0.14/0.31 All clauses are units, and equality is present; the
% 0.14/0.31 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.14/0.31
% 0.14/0.31 dependent: set(knuth_bendix).
% 0.14/0.31 dependent: set(para_from).
% 0.14/0.31 dependent: set(para_into).
% 0.14/0.31 dependent: clear(para_from_right).
% 0.14/0.31 dependent: clear(para_into_right).
% 0.14/0.31 dependent: set(para_from_vars).
% 0.14/0.31 dependent: set(eq_units_both_ways).
% 0.14/0.31 dependent: set(dynamic_demod_all).
% 0.14/0.31 dependent: set(dynamic_demod).
% 0.14/0.31 dependent: set(order_eq).
% 0.14/0.31 dependent: set(back_demod).
% 0.14/0.31 dependent: set(lrpo).
% 0.14/0.31
% 0.14/0.31 ------------> process usable:
% 0.14/0.31
% 0.14/0.31 ------------> process sos:
% 0.14/0.31 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.14/0.31 Following clause subsumed by 5 during input processing: 0 [copy,8,flip.1] {-} apply(apply(w,A),B)=apply(apply(A,B),B).
% 0.14/0.31 Following clause subsumed by 6 during input processing: 0 [copy,9,flip.1] {-} apply(m,A)=apply(A,A).
% 0.14/0.31
% 0.14/0.31 ======= end of input processing =======
% 0.14/0.33
% 0.14/0.33 Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.33
% 0.14/0.33 Stopped by limit on number of solutions
% 0.14/0.33
% 0.14/0.33
% 0.14/0.33 -------------- Softie stats --------------
% 0.14/0.33
% 0.14/0.33 UPDATE_STOP: 300
% 0.14/0.33 SFINDER_TIME_LIMIT: 2
% 0.14/0.33 SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.33 number of clauses in intial UL: 1
% 0.14/0.33 number of clauses initially in problem: 8
% 0.14/0.33 percentage of clauses intially in UL: 12
% 0.14/0.33 percentage of distinct symbols occuring in initial UL: 50
% 0.14/0.33 percent of all initial clauses that are short: 100
% 0.14/0.33 absolute distinct symbol count: 6
% 0.14/0.33 distinct predicate count: 1
% 0.14/0.33 distinct function count: 2
% 0.14/0.33 distinct constant count: 3
% 0.14/0.33
% 0.14/0.33 ---------- no more Softie stats ----------
% 0.14/0.33
% 0.14/0.33
% 0.14/0.33
% 0.14/0.33 =========== start of search ===========
% 0.14/0.35
% 0.14/0.35 -------- PROOF --------
% 0.14/0.35 % SZS status Unsatisfiable
% 0.14/0.35 % SZS output start Refutation
% 0.14/0.35
% 0.14/0.35 Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.35
% 0.14/0.35 Stopped by limit on number of solutions
% 0.14/0.35
% 0.14/0.35 ----> UNIT CONFLICT at 0.02 sec ----> 146 [binary,144.1,113.1] {-} $F.
% 0.14/0.35
% 0.14/0.35 Length of proof is 8. Level of proof is 4.
% 0.14/0.35
% 0.14/0.35 ---------------- PROOF ----------------
% 0.14/0.35 % SZS status Unsatisfiable
% 0.14/0.35 % SZS output start Refutation
% 0.14/0.35
% 0.14/0.35 1 [] {-} apply(A,f(A))!=apply(f(A),apply(A,f(A))).
% 0.14/0.35 2 [copy,1,flip.1] {+} apply(f(A),apply(A,f(A)))!=apply(A,f(A)).
% 0.14/0.35 4,3 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.14/0.35 5 [] {-} apply(apply(w,A),B)=apply(apply(A,B),B).
% 0.14/0.35 6 [] {+} apply(m,A)=apply(A,A).
% 0.14/0.35 8 [copy,5,flip.1] {-} apply(apply(A,B),B)=apply(apply(w,A),B).
% 0.14/0.35 9 [copy,6,flip.1] {+} apply(A,A)=apply(m,A).
% 0.14/0.35 10 [para_from,3.1.1,2.1.1.2,demod,4] {-} apply(f(apply(apply(b,A),B)),apply(A,apply(B,f(apply(apply(b,A),B)))))!=apply(A,apply(B,f(apply(apply(b,A),B)))).
% 0.14/0.35 20 [para_into,8.1.1,3.1.1] {-} apply(A,apply(B,B))=apply(apply(w,apply(b,A)),B).
% 0.14/0.35 40 [para_into,20.1.1.2,9.1.1,flip.1] {-} apply(apply(w,apply(b,A)),B)=apply(A,apply(m,B)).
% 0.14/0.35 113 [para_into,10.1.1.2,3.1.1,demod,4] {-} apply(f(apply(apply(b,apply(apply(b,A),B)),C)),apply(A,apply(B,apply(C,f(apply(apply(b,apply(apply(b,A),B)),C))))))!=apply(A,apply(B,apply(C,f(apply(apply(b,apply(apply(b,A),B)),C))))).
% 0.14/0.35 144 [para_into,40.1.1,9.1.1,flip.1] {-} apply(A,apply(m,apply(w,apply(b,A))))=apply(m,apply(w,apply(b,A))).
% 0.14/0.35 146 [binary,144.1,113.1] {-} $F.
% 0.14/0.35
% 0.14/0.35 % SZS output end Refutation
% 0.14/0.35 ------------ end of proof -------------
% 0.14/0.35
% 0.14/0.35
% 0.14/0.35 Search stopped by max_proofs option.
% 0.14/0.35
% 0.14/0.35
% 0.14/0.35 Search stopped by max_proofs option.
% 0.14/0.35
% 0.14/0.35 ============ end of search ============
% 0.14/0.35
% 0.14/0.35 ----------- soft-scott stats ----------
% 0.14/0.35
% 0.14/0.35 true clauses given 4 (28.6%)
% 0.14/0.35 false clauses given 10
% 0.14/0.35
% 0.14/0.35 FALSE TRUE
% 0.14/0.35 11 0 9
% 0.14/0.35 13 6 3
% 0.14/0.35 15 6 8
% 0.14/0.35 17 27 0
% 0.14/0.35 19 1 5
% 0.14/0.35 21 3 0
% 0.14/0.35 25 3 1
% 0.14/0.35 28 1 7
% 0.14/0.35 33 2 0
% 0.14/0.35 35 1 0
% 0.14/0.35 36 0 2
% 0.14/0.35 44 6 0
% 0.14/0.35 45 1 0
% 0.14/0.35 47 1 0
% 0.14/0.35 53 1 0
% 0.14/0.35 55 1 0
% 0.14/0.35 tot: 60 35 (36.8% true)
% 0.14/0.35
% 0.14/0.35
% 0.14/0.35 Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.35
% 0.14/0.35 That finishes the proof of the theorem.
% 0.14/0.35
% 0.14/0.35 Process 24203 finished Tue May 31 12:52:58 2022
%------------------------------------------------------------------------------