%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL080-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 14:27:47 EDT 2022
% Result : Unsatisfiable 14.14s 14.36s
% Output : Refutation 14.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL080-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 01:21:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n021.cluster.edu,
% 0.13/0.37 Mon Jul 4 01:21:16 2022
% 0.13/0.37 The command was "./sos". The process ID is 7466.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.37
% 0.13/0.37 This is a Horn set without equality. The strategy will
% 0.13/0.37 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37 in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: clear(order_hyper).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.20/0.47
% 0.20/0.47 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.47
% 0.20/0.47 Stopped by limit on number of solutions
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 -------------- Softie stats --------------
% 0.20/0.47
% 0.20/0.47 UPDATE_STOP: 300
% 0.20/0.47 SFINDER_TIME_LIMIT: 2
% 0.20/0.47 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.47 number of clauses in intial UL: 2
% 0.20/0.47 number of clauses initially in problem: 5
% 0.20/0.47 percentage of clauses intially in UL: 40
% 0.20/0.47 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.47 percent of all initial clauses that are short: 100
% 0.20/0.47 absolute distinct symbol count: 6
% 0.20/0.47 distinct predicate count: 1
% 0.20/0.47 distinct function count: 1
% 0.20/0.47 distinct constant count: 4
% 0.20/0.47
% 0.20/0.47 ---------- no more Softie stats ----------
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.47
% 0.20/0.47 Stopped by limit on number of solutions
% 0.20/0.47
% 0.20/0.47 =========== start of search ===========
% 14.14/14.36
% 14.14/14.36 -- HEY sandbox, WE HAVE A PROOF!! --
% 14.14/14.36
% 14.14/14.36 Stopped by limit on insertions
% 14.14/14.36
% 14.14/14.36 Model 3 [ 1 1 2556 ] (0.00 seconds, 250000 Inserts)
% 14.14/14.36
% 14.14/14.36 Stopped by limit on insertions
% 14.14/14.36
% 14.14/14.36 Stopped by limit on insertions
% 14.14/14.36
% 14.14/14.36 Model 4 [ 1 0 240 ] (0.00 seconds, 250000 Inserts)
% 14.14/14.36
% 14.14/14.36 ----> UNIT CONFLICT at 13.96 sec ----> 1783 [binary,1782.1,2.1] {-} $F.
% 14.14/14.36
% 14.14/14.36 Length of proof is 18. Level of proof is 11.
% 14.14/14.36
% 14.14/14.36 ---------------- PROOF ----------------
% 14.14/14.36 % SZS status Unsatisfiable
% 14.14/14.36 % SZS output start Refutation
% 14.14/14.36
% 14.14/14.36 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 14.14/14.36 2 [] {+} -is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))).
% 14.14/14.36 3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 14.14/14.36 4 [] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 14.14/14.36 5 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 14.14/14.36 7 [hyper,4,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 14.14/14.36 11 [hyper,5,1,5] {+} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 14.14/14.36 14 [hyper,5,1,7] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),implies(D,C))).
% 14.14/14.36 16 [hyper,5,1,4] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))).
% 14.14/14.36 17 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 14.14/14.36 18 [hyper,17,1,5] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),B),C))).
% 14.14/14.36 45 [hyper,16,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))).
% 14.14/14.36 51 [hyper,45,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))).
% 14.14/14.36 74 [hyper,14,1,11] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(D,implies(A,B)))).
% 14.14/14.36 120 [hyper,74,1,74] {-} is_a_theorem(implies(A,implies(implies(B,implies(implies(C,D),C)),implies(B,C)))).
% 14.14/14.36 129 [hyper,74,1,17] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))).
% 14.14/14.36 155 [hyper,129,1,129] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)).
% 14.14/14.36 198 [hyper,18,1,155] {-} is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),C)).
% 14.14/14.36 227 [hyper,120,1,198] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 14.14/14.36 239 [hyper,227,1,11] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 14.14/14.36 274 [hyper,239,1,51] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)).
% 14.14/14.36 831 [hyper,274,1,11] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,implies(D,B)))).
% 14.14/14.36 1782 [hyper,831,1,11] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))).
% 14.14/14.36 1783 [binary,1782.1,2.1] {-} $F.
% 14.14/14.36
% 14.14/14.36 % SZS output end Refutation
% 14.14/14.36 ------------ end of proof -------------
% 14.14/14.36
% 14.14/14.36
% 14.14/14.36 Search stopped by max_proofs option.
% 14.14/14.36
% 14.14/14.36
% 14.14/14.36 Search stopped by max_proofs option.
% 14.14/14.36
% 14.14/14.36 ============ end of search ============
% 14.14/14.36
% 14.14/14.36 ----------- soft-scott stats ----------
% 14.14/14.36
% 14.14/14.36 true clauses given 40 (29.6%)
% 14.14/14.36 false clauses given 95
% 14.14/14.36
% 14.14/14.36 FALSE TRUE
% 14.14/14.36 12 0 24
% 14.14/14.36 14 12 78
% 14.14/14.36 16 178 110
% 14.14/14.36 18 257 99
% 14.14/14.36 20 310 58
% 14.14/14.36 22 213 29
% 14.14/14.36 24 103 12
% 14.14/14.36 26 61 0
% 14.14/14.36 28 37 0
% 14.14/14.36 30 26 0
% 14.14/14.36 32 8 0
% 14.14/14.36 34 4 0
% 14.14/14.36 36 3 0
% 14.14/14.36 38 1 0
% 14.14/14.36 40 1 0
% 14.14/14.36 tot: 1214 410 (25.2% true)
% 14.14/14.36
% 14.14/14.36
% 14.14/14.36 Model 4 [ 1 0 240 ] (0.00 seconds, 250000 Inserts)
% 14.14/14.36
% 14.14/14.36 That finishes the proof of the theorem.
% 14.14/14.36
% 14.14/14.36 Process 7466 finished Mon Jul 4 01:21:30 2022
%------------------------------------------------------------------------------