%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL120-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 : Sun Jul 17 14:28:04 EDT 2022
% Result : Unsatisfiable 4.21s 4.38s
% Output : Refutation 4.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL120-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : sos-script %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 00:25:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.36 ----- Otter 3.2, August 2001 -----
% 0.21/0.36 The process was started by sandbox2 on n013.cluster.edu,
% 0.21/0.36 Tue Jul 5 00:25:59 2022
% 0.21/0.36 The command was "./sos". The process ID is 14167.
% 0.21/0.36
% 0.21/0.36 set(prolog_style_variables).
% 0.21/0.36 set(auto).
% 0.21/0.36 dependent: set(auto1).
% 0.21/0.36 dependent: set(process_input).
% 0.21/0.36 dependent: clear(print_kept).
% 0.21/0.36 dependent: clear(print_new_demod).
% 0.21/0.36 dependent: clear(print_back_demod).
% 0.21/0.36 dependent: clear(print_back_sub).
% 0.21/0.36 dependent: set(control_memory).
% 0.21/0.36 dependent: assign(max_mem, 12000).
% 0.21/0.36 dependent: assign(pick_given_ratio, 4).
% 0.21/0.36 dependent: assign(stats_level, 1).
% 0.21/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.36 dependent: assign(sos_limit, 5000).
% 0.21/0.36 dependent: assign(max_weight, 60).
% 0.21/0.36 clear(print_given).
% 0.21/0.36
% 0.21/0.36 list(usable).
% 0.21/0.36
% 0.21/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.21/0.36
% 0.21/0.36 This is a Horn set without equality. The strategy will
% 0.21/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.21/0.36 in usable.
% 0.21/0.36
% 0.21/0.36 dependent: set(hyper_res).
% 0.21/0.36 dependent: clear(order_hyper).
% 0.21/0.36
% 0.21/0.36 ------------> process usable:
% 0.21/0.36
% 0.21/0.36 ------------> process sos:
% 0.21/0.36
% 0.21/0.36 ======= end of input processing =======
% 0.21/0.39
% 0.21/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.39
% 0.21/0.39 Stopped by limit on number of solutions
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 -------------- Softie stats --------------
% 0.21/0.39
% 0.21/0.39 UPDATE_STOP: 300
% 0.21/0.39 SFINDER_TIME_LIMIT: 2
% 0.21/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.39 number of clauses in intial UL: 2
% 0.21/0.39 number of clauses initially in problem: 3
% 0.21/0.39 percentage of clauses intially in UL: 66
% 0.21/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.39 percent of all initial clauses that are short: 100
% 0.21/0.39 absolute distinct symbol count: 5
% 0.21/0.39 distinct predicate count: 1
% 0.21/0.39 distinct function count: 1
% 0.21/0.39 distinct constant count: 3
% 0.21/0.39
% 0.21/0.39 ---------- no more Softie stats ----------
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 =========== start of search ===========
% 4.21/4.38
% 4.21/4.38 -------- PROOF --------
% 4.21/4.38 % SZS status Unsatisfiable
% 4.21/4.38 % SZS output start Refutation
% 4.21/4.38
% 4.21/4.38 Model 2 (0.00 seconds, 0 Inserts)
% 4.21/4.38
% 4.21/4.38 Stopped by limit on number of solutions
% 4.21/4.38
% 4.21/4.38 Model 3 (0.00 seconds, 0 Inserts)
% 4.21/4.38
% 4.21/4.38 Stopped by limit on number of solutions
% 4.21/4.38
% 4.21/4.38 ----> UNIT CONFLICT at 3.98 sec ----> 124 [binary,123.1,2.1] {-} $F.
% 4.21/4.38
% 4.21/4.38 Length of proof is 8. Level of proof is 7.
% 4.21/4.38
% 4.21/4.38 ---------------- PROOF ----------------
% 4.21/4.38 % SZS status Unsatisfiable
% 4.21/4.38 % SZS output start Refutation
% 4.21/4.38
% 4.21/4.38 1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 4.21/4.38 2 [] {+} -is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))).
% 4.21/4.38 3 [] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B))).
% 4.21/4.38 4 [hyper,3,1,3] {+} is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))).
% 4.21/4.38 6 [hyper,4,1,3] {+} is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)).
% 4.21/4.38 7 [hyper,4,1,3] {-} is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(D,C))))).
% 4.21/4.38 9 [hyper,6,1,4] {+} is_a_theorem(equivalent(A,A)).
% 4.21/4.38 15 [hyper,9,1,7] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(D,C)))).
% 4.21/4.38 28 [hyper,15,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(C,A)))).
% 4.21/4.38 38 [hyper,28,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(D,C),equivalent(D,B))))).
% 4.21/4.38 123 [hyper,38,1,4] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(B,C)))).
% 4.21/4.38 124 [binary,123.1,2.1] {-} $F.
% 4.21/4.38
% 4.21/4.38 % SZS output end Refutation
% 4.21/4.38 ------------ end of proof -------------
% 4.21/4.38
% 4.21/4.38
% 4.21/4.38 Search stopped by max_proofs option.
% 4.21/4.38
% 4.21/4.38
% 4.21/4.38 Search stopped by max_proofs option.
% 4.21/4.38
% 4.21/4.38 ============ end of search ============
% 4.21/4.38
% 4.21/4.38 ----------- soft-scott stats ----------
% 4.21/4.38
% 4.21/4.38 true clauses given 5 (35.7%)
% 4.21/4.38 false clauses given 9
% 4.21/4.38
% 4.21/4.38 FALSE TRUE
% 4.21/4.38 12 0 14
% 4.21/4.38 16 8 14
% 4.21/4.38 20 24 4
% 4.21/4.38 24 16 0
% 4.21/4.38 28 8 0
% 4.21/4.38 tot: 56 32 (36.4% true)
% 4.21/4.38
% 4.21/4.38
% 4.21/4.38 Model 3 (0.00 seconds, 0 Inserts)
% 4.21/4.38
% 4.21/4.38 That finishes the proof of the theorem.
% 4.21/4.38
% 4.21/4.38 Process 14167 finished Tue Jul 5 00:26:03 2022
%------------------------------------------------------------------------------