TSTP Solution File: LCL090-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 14:27:52 EDT 2022
% Result : Unsatisfiable 0.68s 0.88s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n011.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 22:22:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n011.cluster.edu,
% 0.12/0.35 Sat Jul 2 22:22:35 2022
% 0.12/0.35 The command was "./sos". The process ID is 26237.
% 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=0, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a Horn set without equality. The strategy will
% 0.12/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35 in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 2
% 0.12/0.37 number of clauses initially in problem: 3
% 0.12/0.37 percentage of clauses intially in UL: 66
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 3
% 0.12/0.37 distinct predicate count: 1
% 0.12/0.37 distinct function count: 1
% 0.12/0.37 distinct constant count: 1
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 0.68/0.88
% 0.68/0.88 -------- PROOF --------
% 0.68/0.88 % SZS status Unsatisfiable
% 0.68/0.88 % SZS output start Refutation
% 0.68/0.88
% 0.68/0.88 Model 2 (0.00 seconds, 0 Inserts)
% 0.68/0.88
% 0.68/0.88 Stopped by limit on number of solutions
% 0.68/0.88
% 0.68/0.88 ----> UNIT CONFLICT at 0.51 sec ----> 389 [binary,388.1,2.1] {+} $F.
% 0.68/0.88
% 0.68/0.88 Length of proof is 16. Level of proof is 16.
% 0.68/0.88
% 0.68/0.88 ---------------- PROOF ----------------
% 0.68/0.88 % SZS status Unsatisfiable
% 0.68/0.88 % SZS output start Refutation
% 0.68/0.88
% 0.68/0.88 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.68/0.88 2 [] {+} -is_a_theorem(implies(a,a)).
% 0.68/0.88 3 [] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))).
% 0.68/0.88 4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(C,D)),implies(E,implies(implies(F,C),implies(C,D))))).
% 0.68/0.88 5 [hyper,4,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))).
% 0.68/0.88 7 [hyper,5,1,5] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))).
% 0.68/0.88 11 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))).
% 0.68/0.88 18 [hyper,11,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(C,D),implies(D,A))),implies(E,implies(F,implies(implies(C,D),implies(D,A)))))).
% 0.68/0.88 54 [hyper,18,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))).
% 0.68/0.88 106 [hyper,54,1,54] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))).
% 0.68/0.88 109 [hyper,106,1,106] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))).
% 0.68/0.88 114 [hyper,109,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))).
% 0.68/0.88 122 [hyper,114,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))).
% 0.68/0.88 308 [hyper,122,1,114] {+} is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))).
% 0.68/0.88 315 [hyper,308,1,308] {+} is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))).
% 0.68/0.88 346 [hyper,315,1,315] {+} is_a_theorem(implies(implies(A,A),implies(A,A))).
% 0.68/0.88 377 [hyper,346,1,122] {-} is_a_theorem(implies(A,implies(B,implies(C,C)))).
% 0.68/0.88 379 [hyper,377,1,377] {-} is_a_theorem(implies(A,implies(B,B))).
% 0.68/0.88 388 [hyper,379,1,379] {-} is_a_theorem(implies(A,A)).
% 0.68/0.88 389 [binary,388.1,2.1] {+} $F.
% 0.68/0.88
% 0.68/0.88 % SZS output end Refutation
% 0.68/0.88 ------------ end of proof -------------
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 Search stopped by max_proofs option.
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 Search stopped by max_proofs option.
% 0.68/0.88
% 0.68/0.88 ============ end of search ============
% 0.68/0.88
% 0.68/0.88 ----------- soft-scott stats ----------
% 0.68/0.88
% 0.68/0.88 true clauses given 9 (16.4%)
% 0.68/0.88 false clauses given 46
% 0.68/0.88
% 0.68/0.88 FALSE TRUE
% 0.68/0.88 10 1 0
% 0.68/0.88 12 2 0
% 0.68/0.88 14 2 0
% 0.68/0.88 16 4 1
% 0.68/0.88 18 18 6
% 0.68/0.88 20 28 5
% 0.68/0.88 22 32 9
% 0.68/0.88 24 36 9
% 0.68/0.88 26 19 7
% 0.68/0.88 28 8 3
% 0.68/0.88 30 7 3
% 0.68/0.88 32 5 0
% 0.68/0.88 34 3 0
% 0.68/0.88 36 5 1
% 0.68/0.88 38 2 0
% 0.68/0.88 40 2 0
% 0.68/0.88 42 1 0
% 0.68/0.88 tot: 175 44 (20.1% true)
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 Model 2 (0.00 seconds, 0 Inserts)
% 0.68/0.88
% 0.68/0.88 That finishes the proof of the theorem.
% 0.68/0.88
% 0.68/0.88 Process 26237 finished Sat Jul 2 22:22:35 2022
%------------------------------------------------------------------------------