%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 : Tue Jul 19 05:14:50 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 07:19:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox on n027.cluster.edu,
% 0.14/0.38 Sun Jul 10 07:19:02 2022
% 0.14/0.38 The command was "./sos". The process ID is 21113.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 0.14/0.38
% 0.14/0.38 This is a non-Horn set without equality. The strategy
% 0.14/0.38 will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.38 factoring, with satellites in sos and nuclei in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: set(factor).
% 0.14/0.38 dependent: set(unit_deletion).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.21/0.41
% 0.21/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41
% 0.21/0.41 Stopped by limit on number of solutions
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 -------------- Softie stats --------------
% 0.21/0.41
% 0.21/0.41 UPDATE_STOP: 300
% 0.21/0.41 SFINDER_TIME_LIMIT: 2
% 0.21/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41 number of clauses in intial UL: 3
% 0.21/0.41 number of clauses initially in problem: 4
% 0.21/0.41 percentage of clauses intially in UL: 75
% 0.21/0.41 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.41 percent of all initial clauses that are short: 100
% 0.21/0.41 absolute distinct symbol count: 3
% 0.21/0.41 distinct predicate count: 1
% 0.21/0.41 distinct function count: 1
% 0.21/0.41 distinct constant count: 1
% 0.21/0.41
% 0.21/0.41 ---------- no more Softie stats ----------
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 =========== start of search ===========
% 0.21/0.43
% 0.21/0.43 -------- PROOF --------
% 0.21/0.43 % SZS status Unsatisfiable
% 0.21/0.43 % SZS output start Refutation
% 0.21/0.43
% 0.21/0.43 -----> EMPTY CLAUSE at 0.02 sec ----> 13 [hyper,9,3,10] {-} $F.
% 0.21/0.43
% 0.21/0.43 Length of proof is 4. Level of proof is 2.
% 0.21/0.43
% 0.21/0.43 ---------------- PROOF ----------------
% 0.21/0.43 % SZS status Unsatisfiable
% 0.21/0.43 % SZS output start Refutation
% 0.21/0.43
% 0.21/0.43 1 [] {+} -element(A,a)|element(A,A).
% 0.21/0.43 2 [] {+} -element(A,A)|element(A,a).
% 0.21/0.43 3 [] {+} -element(A,f(B))| -element(A,B).
% 0.21/0.43 4 [] {-} element(A,B)|element(A,f(B)).
% 0.21/0.43 7 [hyper,4,1] {-} element(A,f(a))|element(A,A).
% 0.21/0.43 8 [hyper,4,2] {-} element(f(A),A)|element(f(A),a).
% 0.21/0.43 9 [factor,7.1.2] {-} element(f(a),f(a)).
% 0.21/0.43 10 [factor,8.1.2] {-} element(f(a),a).
% 0.21/0.43 13 [hyper,9,3,10] {-} $F.
% 0.21/0.43
% 0.21/0.43 % SZS output end Refutation
% 0.21/0.43 ------------ end of proof -------------
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Search stopped by max_proofs option.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Search stopped by max_proofs option.
% 0.21/0.43
% 0.21/0.43 ============ end of search ============
% 0.21/0.43
% 0.21/0.43 ----------- soft-scott stats ----------
% 0.21/0.43
% 0.21/0.43 true clauses given 0 (0.0%)
% 0.21/0.43 false clauses given 3
% 0.21/0.43
% 0.21/0.43 FALSE TRUE
% 0.21/0.43 6 1 0
% 0.21/0.43 7 2 0
% 0.21/0.43 8 1 0
% 0.21/0.43 9 1 0
% 0.21/0.43 tot: 5 0 (0.0% true)
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.43
% 0.21/0.43 That finishes the proof of the theorem.
% 0.21/0.43
% 0.21/0.43 Process 21113 finished Sun Jul 10 07:19:02 2022
%------------------------------------------------------------------------------