TSTP Solution File: GRP481-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 11:43:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.33 % Computer : n010.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 09:39:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n010.cluster.edu,
% 0.12/0.35 Mon Jun 13 09:39:09 2022
% 0.12/0.35 The command was "./sos". The process ID is 2942.
% 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 11 during input processing: 0 [copy,11,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 0
% 0.12/0.38 number of clauses initially in problem: 10
% 0.12/0.38 percentage of clauses intially in UL: 0
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 0
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 5
% 0.12/0.38 distinct predicate count: 1
% 0.12/0.38 distinct function count: 3
% 0.12/0.38 distinct constant count: 1
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 0.19/0.40
% 0.19/0.40 -------- PROOF --------
% 0.19/0.40 % SZS status Unsatisfiable
% 0.19/0.40 % SZS output start Refutation
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 ----> UNIT CONFLICT at 0.02 sec ----> 53 [binary,51.1,12.1] {-} $F.
% 0.19/0.40
% 0.19/0.40 Length of proof is 6. Level of proof is 5.
% 0.19/0.40
% 0.19/0.40 ---------------- PROOF ----------------
% 0.19/0.40 % SZS status Unsatisfiable
% 0.19/0.40 % SZS output start Refutation
% 0.19/0.40
% 0.19/0.40 1 [] {-} multiply(inverse(a1),a1)!=identity.
% 0.19/0.40 2 [] {-} double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)=C.
% 0.19/0.40 5,4 [] {-} multiply(A,B)=double_divide(double_divide(B,A),identity).
% 0.19/0.40 7,6 [] {+} inverse(A)=double_divide(A,identity).
% 0.19/0.40 8 [] {-} identity=double_divide(A,inverse(A)).
% 0.19/0.40 10,9 [copy,8,demod,7,flip.1] {+} double_divide(A,double_divide(A,identity))=identity.
% 0.19/0.40 12 [back_demod,1,demod,7,5,10] {+} double_divide(identity,identity)!=identity.
% 0.19/0.40 13 [back_demod,2,demod,10] {-} double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B)=C.
% 0.19/0.40 19 [para_into,13.1.1.1.1,9.1.1] {-} double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,identity))),B)=A.
% 0.19/0.40 36 [para_into,19.1.1.1.2,9.1.1] {-} double_divide(double_divide(identity,identity),double_divide(A,identity))=A.
% 0.19/0.40 51 [para_into,36.1.1,9.1.1,flip.1] {-} double_divide(identity,identity)=identity.
% 0.19/0.40 53 [binary,51.1,12.1] {-} $F.
% 0.19/0.40
% 0.19/0.40 % SZS output end Refutation
% 0.19/0.40 ------------ end of proof -------------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Search stopped by max_proofs option.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Search stopped by max_proofs option.
% 0.19/0.40
% 0.19/0.40 ============ end of search ============
% 0.19/0.40
% 0.19/0.40 ----------- soft-scott stats ----------
% 0.19/0.40
% 0.19/0.40 true clauses given 1 (12.5%)
% 0.19/0.40 false clauses given 7
% 0.19/0.40
% 0.19/0.40 FALSE TRUE
% 0.19/0.40 13 3 0
% 0.19/0.40 17 1 0
% 0.19/0.40 19 2 0
% 0.19/0.40 23 7 0
% 0.19/0.40 27 5 0
% 0.19/0.40 tot: 18 0 (0.0% true)
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 That finishes the proof of the theorem.
% 0.19/0.40
% 0.19/0.40 Process 2942 finished Mon Jun 13 09:39:09 2022
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