TSTP Solution File: COL001-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL001-2 : 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 00:41:58 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.09 % Command : sos-script %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue May 31 10:40:13 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.30 ----- Otter 3.2, August 2001 -----
% 0.09/0.30 The process was started by sandbox on n032.cluster.edu,
% 0.09/0.30 Tue May 31 10:40:13 2022
% 0.09/0.30 The command was "./sos". The process ID is 10610.
% 0.09/0.30
% 0.09/0.30 set(prolog_style_variables).
% 0.09/0.30 set(auto).
% 0.09/0.30 dependent: set(auto1).
% 0.09/0.30 dependent: set(process_input).
% 0.09/0.30 dependent: clear(print_kept).
% 0.09/0.30 dependent: clear(print_new_demod).
% 0.09/0.30 dependent: clear(print_back_demod).
% 0.09/0.30 dependent: clear(print_back_sub).
% 0.09/0.30 dependent: set(control_memory).
% 0.09/0.30 dependent: assign(max_mem, 12000).
% 0.09/0.30 dependent: assign(pick_given_ratio, 4).
% 0.09/0.30 dependent: assign(stats_level, 1).
% 0.09/0.30 dependent: assign(pick_semantic_ratio, 3).
% 0.09/0.30 dependent: assign(sos_limit, 5000).
% 0.09/0.30 dependent: assign(max_weight, 60).
% 0.09/0.30 clear(print_given).
% 0.09/0.30
% 0.09/0.30 list(usable).
% 0.09/0.30
% 0.09/0.30 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.09/0.30
% 0.09/0.30 All clauses are units, and equality is present; the
% 0.09/0.30 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.09/0.30
% 0.09/0.30 dependent: set(knuth_bendix).
% 0.09/0.30 dependent: set(para_from).
% 0.09/0.30 dependent: set(para_into).
% 0.09/0.30 dependent: clear(para_from_right).
% 0.09/0.30 dependent: clear(para_into_right).
% 0.09/0.30 dependent: set(para_from_vars).
% 0.09/0.30 dependent: set(eq_units_both_ways).
% 0.09/0.30 dependent: set(dynamic_demod_all).
% 0.09/0.30 dependent: set(dynamic_demod).
% 0.09/0.30 dependent: set(order_eq).
% 0.09/0.30 dependent: set(back_demod).
% 0.09/0.30 dependent: set(lrpo).
% 0.09/0.30
% 0.09/0.30 ------------> process usable:
% 0.09/0.30
% 0.09/0.30 ------------> process sos:
% 0.09/0.30 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.09/0.30 Following clause subsumed by 3 during input processing: 0 [copy,14,flip.1] {-} apply(apply(apply(s,A),B),C)=apply(apply(A,C),apply(B,C)).
% 0.09/0.30
% 0.09/0.30 ======= end of input processing =======
% 0.13/0.32
% 0.13/0.32 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.32
% 0.13/0.32 Stopped by limit on number of solutions
% 0.13/0.32
% 0.13/0.32
% 0.13/0.32 -------------- Softie stats --------------
% 0.13/0.32
% 0.13/0.32 UPDATE_STOP: 300
% 0.13/0.32 SFINDER_TIME_LIMIT: 2
% 0.13/0.32 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.32 number of clauses in intial UL: 1
% 0.13/0.32 number of clauses initially in problem: 12
% 0.13/0.32 percentage of clauses intially in UL: 8
% 0.13/0.32 percentage of distinct symbols occuring in initial UL: 37
% 0.13/0.32 percent of all initial clauses that are short: 100
% 0.13/0.32 absolute distinct symbol count: 8
% 0.13/0.32 distinct predicate count: 1
% 0.13/0.32 distinct function count: 1
% 0.13/0.32 distinct constant count: 6
% 0.13/0.32
% 0.13/0.32 ---------- no more Softie stats ----------
% 0.13/0.32
% 0.13/0.32
% 0.13/0.32
% 0.13/0.32 =========== start of search ===========
% 0.13/0.34
% 0.13/0.34 -------- PROOF --------
% 0.13/0.34 % SZS status Unsatisfiable
% 0.13/0.34 % SZS output start Refutation
% 0.13/0.34
% 0.13/0.34 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.34
% 0.13/0.34 Stopped by limit on number of solutions
% 0.13/0.34
% 0.13/0.34 ----> UNIT CONFLICT at 0.02 sec ----> 150 [binary,149.1,2.1] {-} $F.
% 0.13/0.34
% 0.13/0.34 Length of proof is 5. Level of proof is 4.
% 0.13/0.34
% 0.13/0.34 ---------------- PROOF ----------------
% 0.13/0.34 % SZS status Unsatisfiable
% 0.13/0.34 % SZS output start Refutation
% 0.13/0.34
% 0.13/0.34 1 [] {-} A!=apply(combinator,A).
% 0.13/0.34 2 [copy,1,flip.1] {+} apply(combinator,A)!=A.
% 0.13/0.34 3 [] {-} apply(apply(apply(s,A),B),C)=apply(apply(A,C),apply(B,C)).
% 0.13/0.34 6 [] {-} apply(apply(apply(b,A),B),C)=apply(A,apply(B,C)).
% 0.13/0.34 8 [] {+} apply(i,A)=A.
% 0.13/0.34 14 [copy,3,flip.1] {-} apply(apply(A,B),apply(C,B))=apply(apply(apply(s,A),C),B).
% 0.13/0.34 19 [para_into,14.1.1.1,8.1.1] {-} apply(A,apply(B,A))=apply(apply(apply(s,i),B),A).
% 0.13/0.34 75 [para_into,19.1.1.2,8.1.1] {-} apply(A,A)=apply(apply(apply(s,i),i),A).
% 0.13/0.34 149 [para_into,75.1.1,6.1.1] {-} apply(A,apply(B,apply(apply(b,A),B)))=apply(apply(apply(s,i),i),apply(apply(b,A),B)).
% 0.13/0.34 150 [binary,149.1,2.1] {-} $F.
% 0.13/0.34
% 0.13/0.34 % SZS output end Refutation
% 0.13/0.34 ------------ end of proof -------------
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34 Search stopped by max_proofs option.
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34 Search stopped by max_proofs option.
% 0.13/0.34
% 0.13/0.34 ============ end of search ============
% 0.13/0.34
% 0.13/0.34 ----------- soft-scott stats ----------
% 0.13/0.34
% 0.13/0.34 true clauses given 1 (8.3%)
% 0.13/0.34 false clauses given 11
% 0.13/0.34
% 0.13/0.34 FALSE TRUE
% 0.13/0.34 11 3 1
% 0.13/0.34 13 6 3
% 0.13/0.34 15 7 0
% 0.13/0.34 17 9 0
% 0.13/0.34 19 9 1
% 0.13/0.34 21 13 0
% 0.13/0.34 23 15 1
% 0.13/0.34 25 4 0
% 0.13/0.34 31 2 0
% 0.13/0.34 33 1 0
% 0.13/0.34 35 3 0
% 0.13/0.34 37 3 0
% 0.13/0.34 43 2 0
% 0.13/0.34 47 0 2
% 0.13/0.34 53 1 1
% 0.13/0.34 55 0 4
% 0.13/0.34 57 1 0
% 0.13/0.34 59 4 0
% 0.13/0.34 tot: 83 13 (13.5% true)
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.34
% 0.13/0.34 That finishes the proof of the theorem.
% 0.13/0.34
% 0.13/0.34 Process 10610 finished Tue May 31 10:40:13 2022
%------------------------------------------------------------------------------