%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 : Mon Jul 18 14:15:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n026.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 Jul 5 12:35:07 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 n026.cluster.edu,
% 0.13/0.35 Tue Jul 5 12:35:07 2022
% 0.13/0.35 The command was "./sos". The process ID is 24183.
% 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=0, equality=0, symmetry=0, max_lits=5.
% 0.13/0.35
% 0.13/0.35 This is a non-Horn set without equality. The strategy
% 0.13/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35 dependent: set(unit_deletion).
% 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: 5
% 0.19/0.39 number of clauses initially in problem: 8
% 0.19/0.39 percentage of clauses intially in UL: 62
% 0.19/0.39 percentage of distinct symbols occuring in initial UL: 71
% 0.19/0.39 percent of all initial clauses that are short: 100
% 0.19/0.39 absolute distinct symbol count: 7
% 0.19/0.39 distinct predicate count: 3
% 0.19/0.39 distinct function count: 1
% 0.19/0.39 distinct constant count: 3
% 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 Model 2 (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 =========== start of search ===========
% 0.19/0.50
% 0.19/0.50 -------- PROOF --------
% 0.19/0.50 % SZS status Unsatisfiable
% 0.19/0.50 % SZS output start Refutation
% 0.19/0.50
% 0.19/0.50 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.50
% 0.19/0.50 Stopped by limit on number of solutions
% 0.19/0.50
% 0.19/0.50 Stopped by limit on insertions
% 0.19/0.50
% 0.19/0.50 Model 4 [ 1 1 50 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.50
% 0.19/0.50 ----> UNIT CONFLICT at 0.12 sec ----> 13 [binary,12.1,4.1] {-} $F.
% 0.19/0.50
% 0.19/0.50 Length of proof is 3. Level of proof is 2.
% 0.19/0.50
% 0.19/0.50 ---------------- PROOF ----------------
% 0.19/0.50 % SZS status Unsatisfiable
% 0.19/0.50 % SZS output start Refutation
% 0.19/0.50
% 0.19/0.50 2 [] {+} -product(A,B,C)|divides(A,C).
% 0.19/0.50 3 [] {+} -prime(A)| -product(B,C,D)| -divides(A,D)|divides(A,B)|divides(A,C).
% 0.19/0.50 4 [] {+} -divides(a,b).
% 0.19/0.50 5 [factor,3.4.5] {+} -prime(A)| -product(B,B,C)| -divides(A,C)|divides(A,B).
% 0.19/0.50 6 [] {+} product(A,A,square(A)).
% 0.19/0.50 7 [] {+} prime(a).
% 0.19/0.50 8 [] {-} product(a,square(c),square(b)).
% 0.19/0.50 10 [hyper,8,2] {+} divides(a,square(b)).
% 0.19/0.50 12 [hyper,10,5,7,6] {-} divides(a,b).
% 0.19/0.50 13 [binary,12.1,4.1] {-} $F.
% 0.19/0.50
% 0.19/0.50 % SZS output end Refutation
% 0.19/0.50 ------------ end of proof -------------
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Search stopped by max_proofs option.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Search stopped by max_proofs option.
% 0.19/0.50
% 0.19/0.50 ============ end of search ============
% 0.19/0.50
% 0.19/0.50 ----------- soft-scott stats ----------
% 0.19/0.50
% 0.19/0.50 true clauses given 0 (0.0%)
% 0.19/0.50 false clauses given 4
% 0.19/0.50
% 0.19/0.50 FALSE TRUE
% 0.19/0.50 4 0 1
% 0.19/0.50 6 0 1
% 0.19/0.50 tot: 0 2 (100.0% true)
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Model 4 [ 1 1 50 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.50
% 0.19/0.50 That finishes the proof of the theorem.
% 0.19/0.50
% 0.19/0.50 Process 24183 finished Tue Jul 5 12:35:08 2022
%------------------------------------------------------------------------------