%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL048-1 : 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 : Sun Jul 17 14:27:34 EDT 2022
% Result : Unsatisfiable 13.76s 14.09s
% Output : Refutation 13.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL048-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.10 % Command : sos-script %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jul 4 10:14:06 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.31 ----- Otter 3.2, August 2001 -----
% 0.09/0.31 The process was started by sandbox2 on n026.cluster.edu,
% 0.09/0.31 Mon Jul 4 10:14:06 2022
% 0.09/0.31 The command was "./sos". The process ID is 7084.
% 0.09/0.31
% 0.09/0.31 set(prolog_style_variables).
% 0.09/0.31 set(auto).
% 0.09/0.31 dependent: set(auto1).
% 0.09/0.31 dependent: set(process_input).
% 0.09/0.31 dependent: clear(print_kept).
% 0.09/0.31 dependent: clear(print_new_demod).
% 0.09/0.31 dependent: clear(print_back_demod).
% 0.09/0.31 dependent: clear(print_back_sub).
% 0.09/0.31 dependent: set(control_memory).
% 0.09/0.31 dependent: assign(max_mem, 12000).
% 0.09/0.31 dependent: assign(pick_given_ratio, 4).
% 0.09/0.31 dependent: assign(stats_level, 1).
% 0.09/0.31 dependent: assign(pick_semantic_ratio, 3).
% 0.09/0.31 dependent: assign(sos_limit, 5000).
% 0.09/0.31 dependent: assign(max_weight, 60).
% 0.09/0.31 clear(print_given).
% 0.09/0.31
% 0.09/0.31 list(usable).
% 0.09/0.31
% 0.09/0.31 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.09/0.31
% 0.09/0.31 This is a Horn set without equality. The strategy will
% 0.09/0.31 be hyperresolution, with satellites in sos and nuclei
% 0.09/0.31 in usable.
% 0.09/0.31
% 0.09/0.31 dependent: set(hyper_res).
% 0.09/0.31 dependent: clear(order_hyper).
% 0.09/0.31
% 0.09/0.31 ------------> process usable:
% 0.09/0.31
% 0.09/0.31 ------------> process sos:
% 0.09/0.31
% 0.09/0.31 ======= end of input processing =======
% 0.14/0.32
% 0.14/0.32 Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.32
% 0.14/0.32 Stopped by limit on number of solutions
% 0.14/0.32
% 0.14/0.32
% 0.14/0.32 -------------- Softie stats --------------
% 0.14/0.32
% 0.14/0.32 UPDATE_STOP: 300
% 0.14/0.32 SFINDER_TIME_LIMIT: 2
% 0.14/0.32 SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.32 number of clauses in intial UL: 2
% 0.14/0.32 number of clauses initially in problem: 5
% 0.14/0.32 percentage of clauses intially in UL: 40
% 0.14/0.32 percentage of distinct symbols occuring in initial UL: 83
% 0.14/0.32 percent of all initial clauses that are short: 100
% 0.14/0.32 absolute distinct symbol count: 6
% 0.14/0.32 distinct predicate count: 1
% 0.14/0.32 distinct function count: 2
% 0.14/0.32 distinct constant count: 3
% 0.14/0.32
% 0.14/0.32 ---------- no more Softie stats ----------
% 0.14/0.32
% 0.14/0.32
% 0.14/0.32
% 0.14/0.32 =========== start of search ===========
% 13.76/14.09
% 13.76/14.09 -- HEY sandbox2, WE HAVE A PROOF!! --
% 13.76/14.09
% 13.76/14.09 Model 2 (0.00 seconds, 0 Inserts)
% 13.76/14.09
% 13.76/14.09 Stopped by limit on number of solutions
% 13.76/14.09
% 13.76/14.09 Model 3 (0.00 seconds, 0 Inserts)
% 13.76/14.09
% 13.76/14.09 Stopped by limit on number of solutions
% 13.76/14.09
% 13.76/14.09 Model 4 (0.00 seconds, 0 Inserts)
% 13.76/14.09
% 13.76/14.09 Stopped by limit on number of solutions
% 13.76/14.09
% 13.76/14.09 Stopped by limit on insertions
% 13.76/14.09
% 13.76/14.09 Model 5 [ 1 1 342 ] (0.00 seconds, 250000 Inserts)
% 13.76/14.09
% 13.76/14.09 Stopped by limit on insertions
% 13.76/14.09
% 13.76/14.09 Model 6 [ 1 0 453 ] (0.00 seconds, 250000 Inserts)
% 13.76/14.09
% 13.76/14.09 Stopped by limit on insertions
% 13.76/14.09
% 13.76/14.09 Stopped by limit on insertions
% 13.76/14.09
% 13.76/14.09 Stopped by limit on insertions
% 13.76/14.09
% 13.76/14.09 Model 7 [ 3 1 314 ] (0.00 seconds, 250000 Inserts)
% 13.76/14.09
% 13.76/14.09 ----> UNIT CONFLICT at 13.71 sec ----> 1071 [binary,1070.1,2.1] {-} $F.
% 13.76/14.09
% 13.76/14.09 Length of proof is 18. Level of proof is 14.
% 13.76/14.09
% 13.76/14.09 ---------------- PROOF ----------------
% 13.76/14.09 % SZS status Unsatisfiable
% 13.76/14.09 % SZS output start Refutation
% 13.76/14.09
% 13.76/14.09 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 13.76/14.09 2 [] {+} -is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))).
% 13.76/14.09 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 13.76/14.09 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 13.76/14.09 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 13.76/14.09 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 13.76/14.09 7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 13.76/14.09 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 13.76/14.09 15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 13.76/14.09 18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 13.76/14.09 21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 13.76/14.09 24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 13.76/14.09 55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 13.76/14.09 71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 13.76/14.09 85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 13.76/14.09 111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 13.76/14.09 162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 13.76/14.09 203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 13.76/14.09 437 [hyper,203,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 13.76/14.09 947 [hyper,437,1,55] {-} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 13.76/14.09 972 [hyper,947,1,437] {-} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 13.76/14.09 1047 [hyper,972,1,972] {+} is_a_theorem(implies(A,implies(B,A))).
% 13.76/14.09 1070 [hyper,1047,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 13.76/14.09 1071 [binary,1070.1,2.1] {-} $F.
% 13.76/14.09
% 13.76/14.09 % SZS output end Refutation
% 13.76/14.09 ------------ end of proof -------------
% 13.76/14.09
% 13.76/14.09
% 13.76/14.09 Search stopped by max_proofs option.
% 13.76/14.09
% 13.76/14.09
% 13.76/14.09 Search stopped by max_proofs option.
% 13.76/14.09
% 13.76/14.09 ============ end of search ============
% 13.76/14.09
% 13.76/14.09 ----------- soft-scott stats ----------
% 13.76/14.09
% 13.76/14.09 true clauses given 19 (25.3%)
% 13.76/14.09 false clauses given 56
% 13.76/14.09
% 13.76/14.09 FALSE TRUE
% 13.76/14.09 9 0 1
% 13.76/14.09 10 0 2
% 13.76/14.09 11 5 10
% 13.76/14.09 12 7 15
% 13.76/14.09 13 13 25
% 13.76/14.09 14 24 25
% 13.76/14.09 15 44 31
% 13.76/14.09 16 60 26
% 13.76/14.09 17 79 19
% 13.76/14.09 18 80 9
% 13.76/14.09 19 75 11
% 13.76/14.09 20 62 4
% 13.76/14.09 21 49 9
% 13.76/14.09 22 47 0
% 13.76/14.09 23 34 6
% 13.76/14.09 24 32 0
% 13.76/14.09 25 18 9
% 13.76/14.09 26 16 0
% 13.76/14.09 27 8 4
% 13.76/14.09 28 17 0
% 13.76/14.09 29 8 3
% 13.76/14.09 30 8 0
% 13.76/14.09 31 11 3
% 13.76/14.09 32 10 0
% 13.76/14.09 33 9 0
% 13.76/14.09 34 14 0
% 13.76/14.09 35 4 0
% 13.76/14.09 36 9 0
% 13.76/14.09 37 4 0
% 13.76/14.09 38 4 0
% 13.76/14.09 39 1 0
% 13.76/14.09 40 4 0
% 13.76/14.09 42 1 0
% 13.76/14.09 43 1 0
% 13.76/14.09 45 1 0
% 13.76/14.09 46 1 0
% 13.76/14.09 48 1 0
% 13.76/14.09 tot: 761 212 (21.8% true)
% 13.76/14.09
% 13.76/14.09
% 13.76/14.09 Model 7 [ 3 1 314 ] (0.00 seconds, 250000 Inserts)
% 13.76/14.09
% 13.76/14.09 That finishes the proof of the theorem.
% 13.76/14.09
% 13.76/14.09 Process 7084 finished Mon Jul 4 10:14:20 2022
%------------------------------------------------------------------------------