%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL365-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 14:29:43 EDT 2022
% Result : Unsatisfiable 4.24s 4.42s
% Output : Refutation 4.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL365-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n029.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 : Sun Jul 3 19:31:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox2 on n029.cluster.edu,
% 0.19/0.36 Sun Jul 3 19:31:56 2022
% 0.19/0.36 The command was "./sos". The process ID is 29430.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.36
% 0.19/0.36 This is a Horn set without equality. The strategy will
% 0.19/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.19/0.36 in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: clear(order_hyper).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 2
% 0.19/0.38 number of clauses initially in problem: 5
% 0.19/0.38 percentage of clauses intially in UL: 40
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 7
% 0.19/0.38 distinct predicate count: 1
% 0.19/0.38 distinct function count: 2
% 0.19/0.38 distinct constant count: 4
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 4.24/4.42
% 4.24/4.42 -------- PROOF --------
% 4.24/4.42 % SZS status Unsatisfiable
% 4.24/4.42 % SZS output start Refutation
% 4.24/4.42
% 4.24/4.42 Model 2 (0.00 seconds, 0 Inserts)
% 4.24/4.42
% 4.24/4.42 Stopped by limit on number of solutions
% 4.24/4.42
% 4.24/4.42 Model 3 (0.00 seconds, 0 Inserts)
% 4.24/4.42
% 4.24/4.42 Stopped by limit on number of solutions
% 4.24/4.42
% 4.24/4.42 Model 4 (0.00 seconds, 0 Inserts)
% 4.24/4.42
% 4.24/4.42 Stopped by limit on number of solutions
% 4.24/4.42
% 4.24/4.42 Stopped by limit on insertions
% 4.24/4.42
% 4.24/4.42 Model 5 [ 1 1 436 ] (0.00 seconds, 250000 Inserts)
% 4.24/4.42
% 4.24/4.42 ----> UNIT CONFLICT at 4.03 sec ----> 1772 [binary,1771.1,2.1] {+} $F.
% 4.24/4.42
% 4.24/4.42 Length of proof is 16. Level of proof is 12.
% 4.24/4.42
% 4.24/4.42 ---------------- PROOF ----------------
% 4.24/4.42 % SZS status Unsatisfiable
% 4.24/4.42 % SZS output start Refutation
% 4.24/4.42
% 4.24/4.42 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 4.24/4.42 2 [] {+} -is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))).
% 4.24/4.42 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 4.24/4.42 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 4.24/4.42 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 4.24/4.42 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 4.24/4.42 7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 4.24/4.42 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 4.24/4.42 15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 4.24/4.42 18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 4.24/4.42 21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 4.24/4.42 24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 4.24/4.42 55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 4.24/4.42 71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 4.24/4.42 85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 4.24/4.42 111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 4.24/4.42 162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 4.24/4.42 203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 4.24/4.42 437 [hyper,203,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 4.24/4.42 947 [hyper,437,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(C,implies(implies(B,A),A)))).
% 4.24/4.42 1771 [hyper,947,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(implies(B,C),C)),D),implies(implies(not(C),B),D))).
% 4.24/4.42 1772 [binary,1771.1,2.1] {+} $F.
% 4.24/4.42
% 4.24/4.42 % SZS output end Refutation
% 4.24/4.42 ------------ end of proof -------------
% 4.24/4.42
% 4.24/4.42
% 4.24/4.42 Search stopped by max_proofs option.
% 4.24/4.42
% 4.24/4.42
% 4.24/4.42 Search stopped by max_proofs option.
% 4.24/4.42
% 4.24/4.42 ============ end of search ============
% 4.24/4.42
% 4.24/4.42 ----------- soft-scott stats ----------
% 4.24/4.42
% 4.24/4.42 true clauses given 29 (27.1%)
% 4.24/4.42 false clauses given 78
% 4.24/4.42
% 4.24/4.42 FALSE TRUE
% 4.24/4.42 10 0 4
% 4.24/4.42 11 0 18
% 4.24/4.42 12 0 36
% 4.24/4.42 13 22 37
% 4.24/4.42 14 19 68
% 4.24/4.42 15 57 71
% 4.24/4.42 16 23 102
% 4.24/4.42 17 51 94
% 4.24/4.42 18 23 113
% 4.24/4.42 19 63 83
% 4.24/4.42 20 39 83
% 4.24/4.42 21 56 42
% 4.24/4.42 22 33 55
% 4.24/4.42 23 34 32
% 4.24/4.42 24 18 33
% 4.24/4.42 25 38 14
% 4.24/4.42 26 8 22
% 4.24/4.42 27 22 3
% 4.24/4.42 28 7 19
% 4.24/4.42 29 22 1
% 4.24/4.42 30 2 17
% 4.24/4.42 31 32 0
% 4.24/4.42 32 1 12
% 4.24/4.42 33 13 1
% 4.24/4.42 34 0 21
% 4.24/4.42 35 7 0
% 4.24/4.42 36 1 11
% 4.24/4.42 37 9 0
% 4.24/4.42 38 0 5
% 4.24/4.42 39 5 0
% 4.24/4.42 40 0 6
% 4.24/4.42 42 0 4
% 4.24/4.42 43 1 0
% 4.24/4.42 45 1 0
% 4.24/4.42 46 0 1
% 4.24/4.42 48 0 1
% 4.24/4.42 53 1 0
% 4.24/4.42 56 1 0
% 4.24/4.42 59 1 0
% 4.24/4.42 tot: 610 1009 (62.3% true)
% 4.24/4.42
% 4.24/4.42
% 4.24/4.42 Model 5 [ 1 1 436 ] (0.00 seconds, 250000 Inserts)
% 4.24/4.42
% 4.24/4.42 That finishes the proof of the theorem.
% 4.24/4.42
% 4.24/4.42 Process 29430 finished Sun Jul 3 19:32:00 2022
%------------------------------------------------------------------------------