TSTP Solution File: GRP424-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 11:42:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 08:34:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n005.cluster.edu,
% 0.12/0.35 Tue Jun 14 08:34:24 2022
% 0.12/0.35 The command was "./sos". The process ID is 20612.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.12/0.35
% 0.12/0.35 All clauses are units, and equality is present; the
% 0.12/0.35 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 1
% 0.12/0.37 number of clauses initially in problem: 4
% 0.12/0.37 percentage of clauses intially in UL: 25
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 5
% 0.12/0.37 distinct predicate count: 1
% 0.12/0.37 distinct function count: 2
% 0.12/0.37 distinct constant count: 2
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 0.19/0.41
% 0.19/0.41 -------- PROOF --------
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Refutation
% 0.19/0.41
% 0.19/0.41 ----> UNIT CONFLICT at 0.04 sec ----> 211 [binary,210.1,146.1] {-} $F.
% 0.19/0.41
% 0.19/0.41 Length of proof is 12. Level of proof is 7.
% 0.19/0.41
% 0.19/0.41 ---------------- PROOF ----------------
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Refutation
% 0.19/0.41
% 0.19/0.41 1 [] {-} multiply(inverse(a1),a1)!=multiply(inverse(b1),b1).
% 0.19/0.41 2 [copy,1,flip.1] {+} multiply(inverse(b1),b1)!=multiply(inverse(a1),a1).
% 0.19/0.41 3 [] {-} multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))=B.
% 0.19/0.41 6 [para_into,3.1.1.1.1.1.1.2.1,3.1.1] {-} multiply(inverse(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(inverse(B),C)))),multiply(D,inverse(C))).
% 0.19/0.41 7 [para_into,3.1.1.1.1.1.1,3.1.1] {-} multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(multiply(inverse(C),C)))=C.
% 0.19/0.41 17,16 [para_into,7.1.1.1.1.2.1.1.1.1,3.1.1] {-} multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(inverse(A),A)))=A.
% 0.19/0.41 33 [para_into,6.1.1,6.1.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))=multiply(inverse(multiply(D,inverse(multiply(inverse(B),C)))),multiply(D,inverse(C))).
% 0.19/0.41 35,34 [para_into,6.1.1,3.1.1,flip.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),multiply(A,inverse(C)))=B.
% 0.19/0.41 56 [para_into,33.1.1.1.1.2.1,34.1.1,demod,35] {-} 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))))).
% 0.19/0.41 75 [para_into,56.1.1.2.2.1,16.1.1,demod,17] {-} multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))=multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C))).
% 0.19/0.41 92 [para_into,75.1.1.1.1,3.1.1] {-} multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(D)))=multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,inverse(D))).
% 0.19/0.41 139 [para_into,92.1.1.2,3.1.1] {-} multiply(inverse(A),A)=multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))).
% 0.19/0.41 146 [copy,139,flip.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))=multiply(inverse(C),C).
% 0.19/0.41 210 [para_from,139.1.1,2.1.1] {-} multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))!=multiply(inverse(a1),a1).
% 0.19/0.41 211 [binary,210.1,146.1] {-} $F.
% 0.19/0.41
% 0.19/0.41 % SZS output end Refutation
% 0.19/0.41 ------------ end of proof -------------
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Search stopped by max_proofs option.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Search stopped by max_proofs option.
% 0.19/0.41
% 0.19/0.41 ============ end of search ============
% 0.19/0.41
% 0.19/0.41 ----------- soft-scott stats ----------
% 0.19/0.41
% 0.19/0.41 true clauses given 1 (7.7%)
% 0.19/0.41 false clauses given 12
% 0.19/0.41
% 0.19/0.41 FALSE TRUE
% 0.19/0.41 21 1 0
% 0.19/0.41 34 5 0
% 0.19/0.41 36 1 0
% 0.19/0.41 38 1 0
% 0.19/0.41 40 1 0
% 0.19/0.41 41 7 0
% 0.19/0.41 43 1 0
% 0.19/0.41 45 2 0
% 0.19/0.41 46 1 0
% 0.19/0.41 47 1 0
% 0.19/0.41 48 6 0
% 0.19/0.41 50 3 2
% 0.19/0.41 51 2 0
% 0.19/0.41 52 3 0
% 0.19/0.41 53 7 0
% 0.19/0.41 54 2 0
% 0.19/0.41 55 9 0
% 0.19/0.41 56 4 0
% 0.19/0.41 57 2 2
% 0.19/0.41 58 1 0
% 0.19/0.41 59 1 1
% 0.19/0.41 60 3 0
% 0.19/0.41 tot: 64 5 (7.2% true)
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.41
% 0.19/0.41 That finishes the proof of the theorem.
% 0.19/0.41
% 0.19/0.41 Process 20612 finished Tue Jun 14 08:34:24 2022
%------------------------------------------------------------------------------