TSTP Solution File: GRP409-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 : Sat Jul 16 11:42:52 EDT 2022
% Result : Unsatisfiable 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 13:43:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 ----- Otter 3.2, August 2001 -----
% 0.14/0.36 The process was started by sandbox2 on n018.cluster.edu,
% 0.14/0.36 Mon Jun 13 13:43:12 2022
% 0.14/0.36 The command was "./sos". The process ID is 5684.
% 0.14/0.36
% 0.14/0.36 set(prolog_style_variables).
% 0.14/0.36 set(auto).
% 0.14/0.36 dependent: set(auto1).
% 0.14/0.36 dependent: set(process_input).
% 0.14/0.36 dependent: clear(print_kept).
% 0.14/0.36 dependent: clear(print_new_demod).
% 0.14/0.36 dependent: clear(print_back_demod).
% 0.14/0.36 dependent: clear(print_back_sub).
% 0.14/0.36 dependent: set(control_memory).
% 0.14/0.36 dependent: assign(max_mem, 12000).
% 0.14/0.36 dependent: assign(pick_given_ratio, 4).
% 0.14/0.36 dependent: assign(stats_level, 1).
% 0.14/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36 dependent: assign(sos_limit, 5000).
% 0.14/0.36 dependent: assign(max_weight, 60).
% 0.14/0.36 clear(print_given).
% 0.14/0.36
% 0.14/0.36 list(usable).
% 0.14/0.36
% 0.14/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.14/0.36
% 0.14/0.36 All clauses are units, and equality is present; the
% 0.14/0.36 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.14/0.36
% 0.14/0.36 dependent: set(knuth_bendix).
% 0.14/0.36 dependent: set(para_from).
% 0.14/0.36 dependent: set(para_into).
% 0.14/0.36 dependent: clear(para_from_right).
% 0.14/0.36 dependent: clear(para_into_right).
% 0.14/0.36 dependent: set(para_from_vars).
% 0.14/0.36 dependent: set(eq_units_both_ways).
% 0.14/0.36 dependent: set(dynamic_demod_all).
% 0.14/0.36 dependent: set(dynamic_demod).
% 0.14/0.36 dependent: set(order_eq).
% 0.14/0.36 dependent: set(back_demod).
% 0.14/0.36 dependent: set(lrpo).
% 0.14/0.36
% 0.14/0.36 ------------> process usable:
% 0.14/0.36
% 0.14/0.36 ------------> process sos:
% 0.14/0.36 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.14/0.36
% 0.14/0.36 ======= end of input processing =======
% 0.14/0.38
% 0.14/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.38
% 0.14/0.38 Stopped by limit on number of solutions
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 -------------- Softie stats --------------
% 0.14/0.38
% 0.14/0.38 UPDATE_STOP: 300
% 0.14/0.38 SFINDER_TIME_LIMIT: 2
% 0.14/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.38 number of clauses in intial UL: 1
% 0.14/0.38 number of clauses initially in problem: 4
% 0.14/0.38 percentage of clauses intially in UL: 25
% 0.14/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.38 percent of all initial clauses that are short: 100
% 0.14/0.38 absolute distinct symbol count: 5
% 0.14/0.38 distinct predicate count: 1
% 0.14/0.38 distinct function count: 2
% 0.14/0.38 distinct constant count: 2
% 0.14/0.38
% 0.14/0.38 ---------- no more Softie stats ----------
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 =========== start of search ===========
% 0.14/0.42
% 0.14/0.42 -------- PROOF --------
% 0.14/0.42 % SZS status Unsatisfiable
% 0.14/0.42 % SZS output start Refutation
% 0.14/0.42
% 0.14/0.42 ----> UNIT CONFLICT at 0.04 sec ----> 192 [binary,191.1,123.1] {-} $F.
% 0.14/0.42
% 0.14/0.42 Length of proof is 11. Level of proof is 7.
% 0.14/0.42
% 0.14/0.42 ---------------- PROOF ----------------
% 0.14/0.42 % SZS status Unsatisfiable
% 0.14/0.42 % SZS output start Refutation
% 0.14/0.42
% 0.14/0.42 1 [] {-} multiply(inverse(a1),a1)!=multiply(inverse(b1),b1).
% 0.14/0.42 2 [copy,1,flip.1] {+} multiply(inverse(b1),b1)!=multiply(inverse(a1),a1).
% 0.14/0.42 3 [] {-} multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(C),C)))=B.
% 0.14/0.42 6 [para_into,3.1.1.1.1.1.2.1,3.1.1] {-} multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))=multiply(inverse(multiply(D,inverse(multiply(B,C)))),multiply(D,inverse(C))).
% 0.14/0.42 10,9 [para_into,3.1.1.1.2,3.1.1] {-} multiply(multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(D,multiply(inverse(C),C))))),B),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))=D.
% 0.14/0.42 17 [para_into,6.1.1,6.1.1] {-} multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C)))=multiply(inverse(multiply(D,inverse(multiply(B,C)))),multiply(D,inverse(C))).
% 0.14/0.42 19,18 [para_into,6.1.1,3.1.1,flip.1] {-} multiply(inverse(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),C))),C)))),multiply(A,inverse(C)))=B.
% 0.14/0.42 50 [para_into,17.1.1.1.1.2.1,18.1.1,demod,19] {-} multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D)))))=multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(multiply(C,inverse(D))))).
% 0.14/0.42 69 [para_into,50.1.1.2.2.1,9.1.1,demod,10] {-} multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))=multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C))).
% 0.14/0.42 85 [para_into,69.1.1.1.1,3.1.1] {-} multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(D)))=multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,inverse(D))).
% 0.14/0.42 116 [para_into,85.1.1.2,3.1.1] {-} multiply(inverse(A),A)=multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))).
% 0.14/0.42 123 [copy,116,flip.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))=multiply(inverse(C),C).
% 0.14/0.42 191 [para_from,116.1.1,2.1.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))!=multiply(inverse(a1),a1).
% 0.14/0.42 192 [binary,191.1,123.1] {-} $F.
% 0.14/0.42
% 0.14/0.42 % SZS output end Refutation
% 0.14/0.42 ------------ end of proof -------------
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 Search stopped by max_proofs option.
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 Search stopped by max_proofs option.
% 0.14/0.42
% 0.14/0.42 ============ end of search ============
% 0.14/0.42
% 0.14/0.42 ----------- soft-scott stats ----------
% 0.14/0.42
% 0.14/0.42 true clauses given 2 (16.7%)
% 0.14/0.42 false clauses given 10
% 0.14/0.42
% 0.14/0.42 FALSE TRUE
% 0.14/0.42 21 1 0
% 0.14/0.42 32 5 0
% 0.14/0.42 34 0 1
% 0.14/0.42 36 1 0
% 0.14/0.42 37 1 0
% 0.14/0.42 39 6 0
% 0.14/0.42 40 2 0
% 0.14/0.42 41 1 1
% 0.14/0.42 43 0 1
% 0.14/0.42 44 2 0
% 0.14/0.42 45 1 0
% 0.14/0.42 46 2 0
% 0.14/0.42 48 2 2
% 0.14/0.42 49 6 0
% 0.14/0.42 50 0 1
% 0.14/0.42 51 3 0
% 0.14/0.42 52 6 1
% 0.14/0.42 53 6 1
% 0.14/0.42 55 0 2
% 0.14/0.42 56 2 1
% 0.14/0.42 57 1 3
% 0.14/0.42 59 4 0
% 0.14/0.42 60 4 0
% 0.14/0.42 tot: 56 14 (20.0% true)
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.42
% 0.14/0.42 That finishes the proof of the theorem.
% 0.14/0.42
% 0.14/0.42 Process 5684 finished Mon Jun 13 13:43:12 2022
%------------------------------------------------------------------------------