%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 14:27:26 EDT 2022
% Result : Unsatisfiable 3.74s 3.93s
% Output : Refutation 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n008.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 06:06:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox2 on n008.cluster.edu,
% 0.13/0.36 Sun Jul 3 06:06:38 2022
% 0.13/0.36 The command was "./sos". The process ID is 6944.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This is a Horn set without equality. The strategy will
% 0.13/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36 in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.19/0.39
% 0.19/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 -------------- Softie stats --------------
% 0.19/0.39
% 0.19/0.39 UPDATE_STOP: 300
% 0.19/0.39 SFINDER_TIME_LIMIT: 2
% 0.19/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39 number of clauses in intial UL: 2
% 0.19/0.39 number of clauses initially in problem: 5
% 0.19/0.39 percentage of clauses intially in UL: 40
% 0.19/0.39 percentage of distinct symbols occuring in initial UL: 80
% 0.19/0.39 percent of all initial clauses that are short: 100
% 0.19/0.39 absolute distinct symbol count: 5
% 0.19/0.39 distinct predicate count: 1
% 0.19/0.39 distinct function count: 1
% 0.19/0.39 distinct constant count: 3
% 0.19/0.39
% 0.19/0.39 ---------- no more Softie stats ----------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39 =========== start of search ===========
% 0.69/0.92
% 0.69/0.92
% 0.69/0.92 Changing weight limit from 60 to 50.
% 0.69/0.92
% 0.69/0.92 Model 3 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Model 4 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Model 5 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Model 6 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Model 7 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Model 8 (0.00 seconds, 0 Inserts)
% 0.69/0.92
% 0.69/0.92 Stopped by limit on number of solutions
% 0.69/0.92
% 0.69/0.92 Resetting weight limit to 50 after 230 givens.
% 0.69/0.92
% 1.88/2.06
% 1.88/2.06
% 1.88/2.06 Changing weight limit from 50 to 38.
% 1.88/2.06
% 1.88/2.06 Modelling stopped after 300 given clauses and 0.00 seconds
% 1.88/2.06
% 1.88/2.06
% 1.88/2.06 Resetting weight limit to 38 after 410 givens.
% 1.88/2.06
% 1.90/2.09
% 1.90/2.09
% 1.90/2.09 Changing weight limit from 38 to 34.
% 1.90/2.09
% 1.90/2.09 Resetting weight limit to 34 after 415 givens.
% 1.90/2.09
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Changing weight limit from 34 to 30.
% 1.94/2.12
% 1.94/2.12 Resetting weight limit to 30 after 420 givens.
% 1.94/2.12
% 1.97/2.17
% 1.97/2.17
% 1.97/2.17 Changing weight limit from 30 to 28.
% 1.97/2.17
% 1.97/2.17 Resetting weight limit to 28 after 430 givens.
% 1.97/2.17
% 1.97/2.23
% 1.97/2.23
% 1.97/2.23 Changing weight limit from 28 to 24.
% 1.97/2.23
% 1.97/2.23 Resetting weight limit to 24 after 435 givens.
% 1.97/2.23
% 2.25/2.51
% 2.25/2.51
% 2.25/2.51 Changing weight limit from 24 to 22.
% 2.25/2.51
% 2.25/2.51 Resetting weight limit to 22 after 460 givens.
% 2.25/2.51
% 2.67/2.92
% 2.67/2.92
% 2.67/2.92 Changing weight limit from 22 to 20.
% 2.67/2.92
% 2.67/2.92 Resetting weight limit to 20 after 505 givens.
% 2.67/2.92
% 3.74/3.92
% 3.74/3.92
% 3.74/3.92 Changing weight limit from 20 to 18.
% 3.74/3.92
% 3.74/3.92 Resetting weight limit to 18 after 640 givens.
% 3.74/3.92
% 3.74/3.93
% 3.74/3.93 -------- PROOF --------
% 3.74/3.93 % SZS status Unsatisfiable
% 3.74/3.93 % SZS output start Refutation
% 3.74/3.93
% 3.74/3.93 ----> UNIT CONFLICT at 3.46 sec ----> 23193 [binary,23192.1,2.1] {+} $F.
% 3.74/3.93
% 3.74/3.93 Length of proof is 26. Level of proof is 11.
% 3.74/3.93
% 3.74/3.93 ---------------- PROOF ----------------
% 3.74/3.93 % SZS status Unsatisfiable
% 3.74/3.93 % SZS output start Refutation
% 3.74/3.93
% 3.74/3.93 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 3.74/3.93 2 [] {+} -is_a_theorem(implies(implies(implies(a,b),a),a)).
% 3.74/3.93 3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 3.74/3.93 4 [] {-} is_a_theorem(implies(implies(implies(A,falsehood),falsehood),A)).
% 3.74/3.93 5 [] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 3.74/3.93 6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 3.74/3.93 8 [hyper,4,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,falsehood),falsehood),B))).
% 3.74/3.93 10 [hyper,8,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,falsehood),falsehood),C)))).
% 3.74/3.93 12 [hyper,5,1,5] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).
% 3.74/3.93 13 [hyper,5,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))).
% 3.74/3.93 15 [hyper,5,1,8] {-} is_a_theorem(implies(implies(A,implies(implies(B,falsehood),falsehood)),implies(A,B))).
% 3.74/3.93 17 [hyper,5,1,3] {+} is_a_theorem(implies(implies(A,B),implies(A,A))).
% 3.74/3.93 23 [hyper,15,1,3] {+} is_a_theorem(implies(falsehood,A)).
% 3.74/3.93 25 [hyper,23,1,3] {+} is_a_theorem(implies(A,implies(falsehood,B))).
% 3.74/3.93 29 [hyper,6,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,implies(D,C))))).
% 3.74/3.93 32 [hyper,17,1,10] {+} is_a_theorem(implies(A,A)).
% 3.74/3.93 33 [hyper,32,1,5] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))).
% 3.74/3.93 35 [hyper,33,1,15] {-} is_a_theorem(implies(implies(implies(A,falsehood),A),A)).
% 3.74/3.93 43 [hyper,35,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,falsehood),B),B))).
% 3.74/3.93 47 [hyper,25,1,5] {+} is_a_theorem(implies(implies(A,falsehood),implies(A,B))).
% 3.74/3.93 50 [hyper,43,1,5] {-} is_a_theorem(implies(implies(A,implies(implies(B,falsehood),B)),implies(A,B))).
% 3.74/3.93 58 [hyper,50,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(implies(C,falsehood),C)),implies(B,C)))).
% 3.74/3.93 67 [hyper,12,1,6] {+} is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))).
% 3.74/3.93 118 [hyper,47,1,3] {+} is_a_theorem(implies(A,implies(implies(B,falsehood),implies(B,C)))).
% 3.74/3.93 203 [hyper,58,1,5] {-} is_a_theorem(implies(implies(A,implies(B,implies(implies(C,falsehood),C))),implies(A,implies(B,C)))).
% 3.74/3.93 251 [hyper,29,1,12] {+} is_a_theorem(implies(implies(A,implies(implies(B,implies(C,B)),D)),implies(A,D))).
% 3.74/3.93 440 [hyper,118,1,12] {+} is_a_theorem(implies(implies(implies(A,falsehood),implies(implies(A,B),C)),implies(implies(A,falsehood),C))).
% 3.74/3.93 1061 [hyper,67,1,13] {+} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 3.74/3.93 15115 [hyper,1061,1,251] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 3.74/3.93 15620 [hyper,15115,1,203] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(C,falsehood),C)),implies(B,C))).
% 3.74/3.93 23192 [hyper,440,1,15620] {-} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 3.74/3.93 23193 [binary,23192.1,2.1] {+} $F.
% 3.74/3.93
% 3.74/3.93 % SZS output end Refutation
% 3.74/3.93 ------------ end of proof -------------
% 3.74/3.93
% 3.74/3.93
% 3.74/3.93 Search stopped by max_proofs option.
% 3.74/3.93
% 3.74/3.93
% 3.74/3.93 Search stopped by max_proofs option.
% 3.74/3.93
% 3.74/3.93 ============ end of search ============
% 3.74/3.93
% 3.74/3.93 ----------- soft-scott stats ----------
% 3.74/3.93
% 3.74/3.93 true clauses given 167 (26.1%)
% 3.74/3.93 false clauses given 474
% 3.74/3.93
% 3.74/3.93 FALSE TRUE
% 3.74/3.93 12 0 46
% 3.74/3.93 14 0 338
% 3.74/3.93 16 637 876
% 3.74/3.93 18 1863 1240
% 3.74/3.93 tot: 2500 2500 (50.0% true)
% 3.74/3.93
% 3.74/3.93
% 3.74/3.93 Model 8 (0.00 seconds, 0 Inserts)
% 3.74/3.93
% 3.74/3.93 That finishes the proof of the theorem.
% 3.74/3.93
% 3.74/3.93 Process 6944 finished Sun Jul 3 06:06:41 2022
%------------------------------------------------------------------------------