%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 11:41:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n009.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 Jun 14 11:49:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n009.cluster.edu,
% 0.13/0.35 Tue Jun 14 11:49:53 2022
% 0.13/0.35 The command was "./sos". The process ID is 2196.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.13/0.35
% 0.13/0.35 This is a Horn set without equality. The strategy will
% 0.13/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35 in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: clear(order_hyper).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.39
% 0.19/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 -------------- Softie stats --------------
% 0.19/0.39
% 0.19/0.39 UPDATE_STOP: 300
% 0.19/0.39 SFINDER_TIME_LIMIT: 2
% 0.19/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39 number of clauses in intial UL: 2
% 0.19/0.39 number of clauses initially in problem: 4
% 0.19/0.39 percentage of clauses intially in UL: 50
% 0.19/0.39 percentage of distinct symbols occuring in initial UL: 50
% 0.19/0.39 percent of all initial clauses that are short: 100
% 0.19/0.39 absolute distinct symbol count: 4
% 0.19/0.39 distinct predicate count: 1
% 0.19/0.39 distinct function count: 3
% 0.19/0.39 distinct constant count: 0
% 0.19/0.39
% 0.19/0.39 ---------- no more Softie stats ----------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 =========== 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 [ 4 1 487 ] (0.00 seconds, 1186 Inserts)
% 0.19/0.40
% 0.19/0.40 ----> UNIT CONFLICT at 0.03 sec ----> 9 [binary,8.1,2.1] {+} $F.
% 0.19/0.40
% 0.19/0.40 Length of proof is 1. Level of proof is 1.
% 0.19/0.40
% 0.19/0.40 ---------------- PROOF ----------------
% 0.19/0.40 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Refutation
% 0.19/0.41
% 0.19/0.41 1 [] {+} -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 0.19/0.41 2 [] {+} -product(not_identity(A),A,not_identity(A)).
% 0.19/0.41 3 [] {-} product(left_solution(A,B),A,B).
% 0.19/0.41 4 [] {+} product(A,right_solution(A,B),B).
% 0.19/0.41 8 [hyper,4,1,3,3] {-} product(A,right_solution(B,B),A).
% 0.19/0.41 9 [binary,8.1,2.1] {+} $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 0 (0.0%)
% 0.19/0.41 false clauses given 2
% 0.19/0.41
% 0.19/0.41 FALSE TRUE
% 0.19/0.41 tot: 0 0 (-nan% true)
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Model 2 [ 4 1 487 ] (0.00 seconds, 1186 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 2196 finished Tue Jun 14 11:49:53 2022
%------------------------------------------------------------------------------