TSTP Solution File: COL057-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 00:42:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n019.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 09:40:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox2 on n019.cluster.edu,
% 0.19/0.35 Tue May 31 09:40:10 2022
% 0.19/0.35 The command was "./sos". The process ID is 11222.
% 0.19/0.35
% 0.19/0.35 set(prolog_style_variables).
% 0.19/0.35 set(auto).
% 0.19/0.35 dependent: set(auto1).
% 0.19/0.35 dependent: set(process_input).
% 0.19/0.35 dependent: clear(print_kept).
% 0.19/0.35 dependent: clear(print_new_demod).
% 0.19/0.35 dependent: clear(print_back_demod).
% 0.19/0.35 dependent: clear(print_back_sub).
% 0.19/0.35 dependent: set(control_memory).
% 0.19/0.35 dependent: assign(max_mem, 12000).
% 0.19/0.35 dependent: assign(pick_given_ratio, 4).
% 0.19/0.35 dependent: assign(stats_level, 1).
% 0.19/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35 dependent: assign(sos_limit, 5000).
% 0.19/0.35 dependent: assign(max_weight, 60).
% 0.19/0.35 clear(print_given).
% 0.19/0.35
% 0.19/0.35 list(usable).
% 0.19/0.35
% 0.19/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.19/0.35
% 0.19/0.35 All clauses are units, and equality is present; the
% 0.19/0.35 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.19/0.35
% 0.19/0.35 dependent: set(knuth_bendix).
% 0.19/0.35 dependent: set(para_from).
% 0.19/0.35 dependent: set(para_into).
% 0.19/0.35 dependent: clear(para_from_right).
% 0.19/0.35 dependent: clear(para_into_right).
% 0.19/0.35 dependent: set(para_from_vars).
% 0.19/0.35 dependent: set(eq_units_both_ways).
% 0.19/0.35 dependent: set(dynamic_demod_all).
% 0.19/0.35 dependent: set(dynamic_demod).
% 0.19/0.35 dependent: set(order_eq).
% 0.19/0.35 dependent: set(back_demod).
% 0.19/0.35 dependent: set(lrpo).
% 0.19/0.35
% 0.19/0.35 ------------> process usable:
% 0.19/0.35
% 0.19/0.35 ------------> process sos:
% 0.19/0.35 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} A=A.
% 0.19/0.35 Following clause subsumed by 3 during input processing: 0 [copy,10,flip.1] {-} apply(apply(apply(s,A),B),C)=apply(apply(A,C),apply(B,C)).
% 0.19/0.35 Following clause subsumed by 6 during input processing: 0 [copy,11,flip.1] {-} apply(apply(apply(c,A),B),C)=apply(apply(A,C),B).
% 0.19/0.35
% 0.19/0.35 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 1
% 0.19/0.38 number of clauses initially in problem: 10
% 0.19/0.38 percentage of clauses intially in UL: 10
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 42
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 7
% 0.19/0.38 distinct predicate count: 1
% 0.19/0.38 distinct function count: 2
% 0.19/0.38 distinct constant count: 4
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 0.19/0.47
% 0.19/0.47 -------- PROOF --------
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47 % SZS output start Refutation
% 0.19/0.47
% 0.19/0.47 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.47
% 0.19/0.47 Stopped by limit on number of solutions
% 0.19/0.47
% 0.19/0.47 ----> UNIT CONFLICT at 0.10 sec ----> 921 [binary,920.1,275.1] {-} $F.
% 0.19/0.47
% 0.19/0.47 Length of proof is 8. Level of proof is 4.
% 0.19/0.47
% 0.19/0.47 ---------------- PROOF ----------------
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47 % SZS output start Refutation
% 0.19/0.47
% 0.19/0.47 1 [] {-} apply(A,f(A))!=apply(f(A),apply(A,f(A))).
% 0.19/0.47 2 [copy,1,flip.1] {+} apply(f(A),apply(A,f(A)))!=apply(A,f(A)).
% 0.19/0.47 3 [] {-} apply(apply(apply(s,A),B),C)=apply(apply(A,C),apply(B,C)).
% 0.19/0.47 4 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.19/0.47 6 [] {-} apply(apply(apply(c,A),B),C)=apply(apply(A,C),B).
% 0.19/0.47 7 [] {+} apply(i,A)=A.
% 0.19/0.47 10 [copy,3,flip.1] {-} apply(apply(A,B),apply(C,B))=apply(apply(apply(s,A),C),B).
% 0.19/0.47 12 [para_from,3.1.1,2.1.1.2] {-} apply(f(apply(apply(s,A),B)),apply(apply(A,f(apply(apply(s,A),B))),apply(B,f(apply(apply(s,A),B)))))!=apply(apply(apply(s,A),B),f(apply(apply(s,A),B))).
% 0.19/0.47 17 [para_into,10.1.1.1,7.1.1] {-} apply(A,apply(B,A))=apply(apply(apply(s,i),B),A).
% 0.19/0.47 18 [para_into,10.1.1.1,6.1.1] {-} apply(apply(apply(A,B),C),apply(D,B))=apply(apply(apply(s,apply(apply(c,A),C)),D),B).
% 0.19/0.47 203 [para_into,17.1.1.2,7.1.1] {-} apply(A,A)=apply(apply(apply(s,i),i),A).
% 0.19/0.47 275 [para_from,203.1.1,12.1.1.2] {+} apply(f(apply(apply(s,A),A)),apply(apply(apply(s,i),i),apply(A,f(apply(apply(s,A),A)))))!=apply(apply(apply(s,A),A),f(apply(apply(s,A),A))).
% 0.19/0.47 920 [para_into,18.1.1,4.1.1] {-} apply(A,apply(B,apply(C,A)))=apply(apply(apply(s,apply(apply(c,b),B)),C),A).
% 0.19/0.47 921 [binary,920.1,275.1] {-} $F.
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation
% 0.19/0.47 ------------ end of proof -------------
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Search stopped by max_proofs option.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Search stopped by max_proofs option.
% 0.19/0.47
% 0.19/0.47 ============ end of search ============
% 0.19/0.47
% 0.19/0.47 ----------- soft-scott stats ----------
% 0.19/0.47
% 0.19/0.48 true clauses given 5 (16.1%)
% 0.19/0.48 false clauses given 26
% 0.19/0.48
% 0.19/0.48 FALSE TRUE
% 0.19/0.48 11 0 1
% 0.19/0.48 12 0 1
% 0.19/0.48 13 22 6
% 0.19/0.48 15 65 14
% 0.19/0.48 16 2 0
% 0.19/0.48 17 94 11
% 0.19/0.48 19 96 9
% 0.19/0.48 21 62 1
% 0.19/0.48 23 23 0
% 0.19/0.48 24 1 2
% 0.19/0.48 25 10 2
% 0.19/0.48 26 0 1
% 0.19/0.48 27 16 0
% 0.19/0.48 28 1 0
% 0.19/0.48 29 26 0
% 0.19/0.48 30 1 4
% 0.19/0.48 31 18 0
% 0.19/0.48 32 10 3
% 0.19/0.48 33 23 0
% 0.19/0.48 34 9 2
% 0.19/0.48 35 16 0
% 0.19/0.48 36 0 1
% 0.19/0.48 37 8 0
% 0.19/0.48 38 3 3
% 0.19/0.48 39 9 0
% 0.19/0.48 40 6 3
% 0.19/0.48 41 15 0
% 0.19/0.48 42 5 0
% 0.19/0.48 43 2 0
% 0.19/0.48 44 2 2
% 0.19/0.48 45 0 1
% 0.19/0.48 46 3 0
% 0.19/0.48 47 4 0
% 0.19/0.48 48 2 2
% 0.19/0.48 49 3 0
% 0.19/0.48 50 2 0
% 0.19/0.48 51 8 0
% 0.19/0.48 53 1 0
% 0.19/0.48 55 4 0
% 0.19/0.48 56 0 1
% 0.19/0.48 57 9 0
% 0.19/0.48 58 1 0
% 0.19/0.48 59 6 0
% 0.19/0.48 tot: 588 70 (10.6% true)
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.48
% 0.19/0.48 That finishes the proof of the theorem.
% 0.19/0.48
% 0.19/0.48 Process 11222 finished Tue May 31 09:40:11 2022
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