TSTP Solution File: LCL032-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL032-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:27:28 EDT 2022
% Result : Unsatisfiable 247.04s 247.24s
% Output : Refutation 247.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : Sat Jul 2 14:04:55 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 n029.cluster.edu,
% 0.13/0.36 Sat Jul 2 14:04:55 2022
% 0.13/0.36 The command was "./sos". The process ID is 19567.
% 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 =======
% 0.13/0.39
% 0.13/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 -------------- Softie stats --------------
% 0.13/0.39
% 0.13/0.39 UPDATE_STOP: 300
% 0.13/0.39 SFINDER_TIME_LIMIT: 2
% 0.13/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39 number of clauses in intial UL: 2
% 0.13/0.39 number of clauses initially in problem: 3
% 0.13/0.39 percentage of clauses intially in UL: 66
% 0.13/0.39 percentage of distinct symbols occuring in initial UL: 83
% 0.13/0.39 percent of all initial clauses that are short: 100
% 0.13/0.39 absolute distinct symbol count: 6
% 0.13/0.39 distinct predicate count: 1
% 0.13/0.39 distinct function count: 1
% 0.13/0.39 distinct constant count: 4
% 0.13/0.39
% 0.13/0.39 ---------- no more Softie stats ----------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 =========== start of search ===========
% 9.14/9.37
% 9.14/9.37
% 9.14/9.37 Changing weight limit from 60 to 30.
% 9.14/9.37
% 9.14/9.37 Model 2 (0.00 seconds, 0 Inserts)
% 9.14/9.37
% 9.14/9.37 Stopped by limit on number of solutions
% 9.14/9.37
% 9.14/9.37 Model 3 (0.00 seconds, 0 Inserts)
% 9.14/9.37
% 9.14/9.37 Stopped by limit on number of solutions
% 9.14/9.37
% 9.14/9.37 Model 4 (0.00 seconds, 0 Inserts)
% 9.14/9.37
% 9.14/9.37 Stopped by limit on number of solutions
% 9.14/9.37
% 9.14/9.37 Model 5 (0.00 seconds, 0 Inserts)
% 9.14/9.37
% 9.14/9.37 Stopped by limit on number of solutions
% 9.14/9.37
% 9.14/9.37 Model 6 [ 1 0 1757 ] (0.00 seconds, 192795 Inserts)
% 9.14/9.37
% 9.14/9.37 Resetting weight limit to 30 after 205 givens.
% 9.14/9.37
% 9.19/9.42
% 9.19/9.42
% 9.19/9.42 Changing weight limit from 30 to 28.
% 9.19/9.42
% 9.19/9.42 Resetting weight limit to 28 after 210 givens.
% 9.19/9.42
% 9.19/9.46
% 9.19/9.46
% 9.19/9.46 Changing weight limit from 28 to 26.
% 9.19/9.46
% 9.19/9.46 Resetting weight limit to 26 after 220 givens.
% 9.19/9.46
% 9.35/9.59
% 9.35/9.59
% 9.35/9.59 Changing weight limit from 26 to 24.
% 9.35/9.59
% 9.35/9.59 Resetting weight limit to 24 after 230 givens.
% 9.35/9.59
% 9.42/9.62
% 9.42/9.62
% 9.42/9.62 Changing weight limit from 24 to 22.
% 9.42/9.62
% 9.42/9.62 Resetting weight limit to 22 after 235 givens.
% 9.42/9.62
% 247.04/247.24
% 247.04/247.24 -- HEY sandbox2, WE HAVE A PROOF!! --
% 247.04/247.24
% 247.04/247.24 Modelling stopped after 300 given clauses and 0.00 seconds
% 247.04/247.24
% 247.04/247.24
% 247.04/247.24 ----> UNIT CONFLICT at 239.91 sec ----> 913878 [binary,913877.1,2.1] {-} $F.
% 247.04/247.24
% 247.04/247.24 Length of proof is 73. Level of proof is 38.
% 247.04/247.24
% 247.04/247.24 ---------------- PROOF ----------------
% 247.04/247.24 % SZS status Unsatisfiable
% 247.04/247.24 % SZS output start Refutation
% 247.04/247.24
% 247.04/247.24 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 247.04/247.24 2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 247.04/247.24 3 [] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))).
% 247.04/247.24 4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))).
% 247.04/247.24 6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),implies(D,C))).
% 247.04/247.24 14 [hyper,6,1,6] {-} is_a_theorem(implies(A,implies(B,implies(falsehood,C)))).
% 247.04/247.24 23 [hyper,14,1,14] {+} is_a_theorem(implies(A,implies(falsehood,B))).
% 247.04/247.24 26 [hyper,23,1,3] {+} is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))).
% 247.04/247.24 28 [hyper,26,1,4] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 247.04/247.24 29 [hyper,28,1,28] {+} is_a_theorem(implies(A,implies(B,A))).
% 247.04/247.24 30 [hyper,28,1,3] {+} is_a_theorem(implies(implies(implies(A,implies(B,A)),C),implies(D,C))).
% 247.04/247.24 33 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),implies(D,falsehood)),E)),B),implies(D,B))).
% 247.04/247.24 39 [hyper,33,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(B,D),implies(A,falsehood)),C))).
% 247.04/247.24 44 [hyper,39,1,29] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(D,implies(C,A)))).
% 247.04/247.24 45 [hyper,39,1,26] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(falsehood,C),falsehood)),implies(D,A))).
% 247.04/247.24 48 [hyper,39,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(implies(implies(C,D),implies(E,falsehood)),F),falsehood)),implies(implies(A,C),implies(E,C)))).
% 247.04/247.24 60 [hyper,45,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))).
% 247.04/247.24 64 [hyper,60,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 247.04/247.24 72 [hyper,64,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,falsehood),B),C),implies(A,C))).
% 247.04/247.24 76 [hyper,64,1,3] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 247.04/247.24 102 [hyper,72,1,72] {-} is_a_theorem(implies(implies(A,falsehood),implies(A,B))).
% 247.04/247.24 108 [hyper,72,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))).
% 247.04/247.24 113 [hyper,102,1,72] {-} is_a_theorem(implies(A,implies(implies(A,falsehood),B))).
% 247.04/247.24 114 [hyper,102,1,44] {+} is_a_theorem(implies(A,implies(B,B))).
% 247.04/247.24 121 [hyper,114,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 247.04/247.24 124 [hyper,113,1,72] {-} is_a_theorem(implies(A,implies(implies(implies(implies(A,falsehood),B),falsehood),C))).
% 247.04/247.24 125 [hyper,113,1,64] {-} is_a_theorem(implies(A,implies(implies(implies(B,A),falsehood),C))).
% 247.04/247.24 169 [hyper,76,1,76] {-} is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))).
% 247.04/247.24 273 [hyper,125,1,72] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,falsehood),C)),falsehood),D))).
% 247.04/247.24 579 [hyper,124,1,64] {-} is_a_theorem(implies(A,implies(implies(implies(implies(implies(B,A),falsehood),C),falsehood),D))).
% 247.04/247.24 796 [hyper,48,1,124] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))).
% 247.04/247.24 1948 [hyper,796,1,796] {+} is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))).
% 247.04/247.24 1973 [hyper,796,1,121] {-} is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))).
% 247.04/247.24 1974 [hyper,796,1,108] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 247.04/247.24 1979 [hyper,796,1,60] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))).
% 247.04/247.24 1988 [hyper,796,1,30] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,B)),D),D))).
% 247.04/247.24 1989 [hyper,796,1,26] {-} is_a_theorem(implies(A,implies(implies(implies(falsehood,B),C),C))).
% 247.04/247.24 1990 [hyper,796,1,6] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(falsehood,C)),D),D))).
% 247.04/247.24 1992 [hyper,1973,1,1973] {+} is_a_theorem(implies(implies(implies(A,A),B),B)).
% 247.04/247.24 2034 [hyper,1974,1,1992] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 247.04/247.24 2058 [hyper,1989,1,2034] {-} is_a_theorem(implies(implies(implies(falsehood,A),B),B)).
% 247.04/247.24 2130 [hyper,1979,1,2058] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)).
% 247.04/247.24 2146 [hyper,1979,1,3] {-} is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),B),B),D),implies(E,D))).
% 247.04/247.24 2162 [hyper,1988,1,2130] {-} is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)).
% 247.04/247.24 2201 [hyper,1990,1,2162] {-} is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),C)).
% 247.04/247.24 2393 [hyper,1948,1,2201] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 247.04/247.24 3081 [hyper,273,1,64] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(implies(C,A),falsehood),D)),falsehood),E))).
% 247.04/247.24 3082 [hyper,273,1,48] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),falsehood),B))).
% 247.04/247.24 4409 [hyper,579,1,48] {-} is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))).
% 247.04/247.24 5267 [hyper,169,1,2393] {-} is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)).
% 247.04/247.24 11379 [hyper,2146,1,2393] {-} is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,C)),B),B),D),D)).
% 247.04/247.24 12296 [hyper,3081,1,48] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),falsehood),B))).
% 247.04/247.24 12305 [hyper,12296,1,11379] {-} is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,implies(C,D)),C),E)),falsehood),C)).
% 247.04/247.24 12318 [hyper,12296,1,5267] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),falsehood),implies(implies(B,D),implies(E,D)))).
% 247.04/247.24 12473 [hyper,12296,1,3082] {-} is_a_theorem(implies(implies(implies(A,implies(implies(B,C),D)),falsehood),implies(implies(implies(B,E),falsehood),C))).
% 247.04/247.24 20651 [hyper,4409,1,2393] {-} is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))).
% 247.04/247.24 29174 [hyper,12305,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),A),B))).
% 247.04/247.24 31375 [hyper,12318,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(A,D))).
% 247.04/247.24 31463 [hyper,31375,1,2393] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 247.04/247.24 31504 [hyper,31463,1,29174] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(implies(B,D),D))).
% 247.04/247.24 45595 [hyper,31504,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))).
% 247.04/247.24 45613 [hyper,45595,1,31375] {-} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 247.04/247.24 45777 [hyper,45613,1,45613] {-} is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))).
% 247.04/247.24 45802 [hyper,45613,1,12296] {-} is_a_theorem(implies(implies(implies(A,implies(implies(B,C),D)),falsehood),implies(B,implies(E,C)))).
% 247.04/247.24 51275 [hyper,45777,1,31463] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(A,implies(D,B)))),E),E)).
% 247.04/247.24 187921 [hyper,45802,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(A,C),D))).
% 247.04/247.24 514855 [hyper,12473,1,3] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),falsehood),C),D),implies(implies(A,C),D))).
% 247.04/247.24 580538 [hyper,514855,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))).
% 247.04/247.24 583794 [hyper,580538,1,514855] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,implies(A,C)),implies(D,implies(A,C))))).
% 247.04/247.24 760037 [hyper,583794,1,20651] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))).
% 247.04/247.24 760437 [hyper,760037,1,187921] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 247.04/247.24 760456 [hyper,760037,1,51275] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(B,implies(D,C))))).
% 247.04/247.24 760564 [hyper,760037,1,31375] {-} is_a_theorem(implies(A,implies(implies(B,implies(A,C)),implies(B,C)))).
% 247.04/247.24 803315 [hyper,760456,1,760564] {-} is_a_theorem(implies(A,implies(implies(B,implies(A,C)),implies(D,implies(B,C))))).
% 247.04/247.24 913294 [hyper,803315,1,20651] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 247.04/247.24 913877 [hyper,913294,1,760437] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 247.04/247.24 913878 [binary,913877.1,2.1] {-} $F.
% 247.04/247.24
% 247.04/247.24 % SZS output end Refutation
% 247.04/247.24 ------------ end of proof -------------
% 247.04/247.24
% 247.04/247.24
% 247.04/247.24 Search stopped by max_proofs option.
% 247.04/247.24
% 247.04/247.24
% 247.04/247.24 Search stopped by max_proofs option.
% 247.04/247.24
% 247.04/247.24 ============ end of search ============
% 247.04/247.24
% 247.04/247.24 ----------- soft-scott stats ----------
% 247.04/247.24
% 247.04/247.24 true clauses given 498 (8.3%)
% 247.04/247.24 false clauses given 5524
% 247.04/247.24
% 247.04/247.24 FALSE TRUE
% 247.04/247.24 14 21 1
% 247.04/247.24 16 1412 10
% 247.04/247.24 18 1137 106
% 247.04/247.24 20 160 535
% 247.04/247.24 22 587 1052
% 247.04/247.24 tot: 3317 1704 (33.9% true)
% 247.04/247.24
% 247.04/247.24
% 247.04/247.24 Model 6 [ 1 0 1757 ] (0.02 seconds, 192795 Inserts)
% 247.04/247.24
% 247.04/247.24 That finishes the proof of the theorem.
% 247.04/247.24
% 247.04/247.24 Process 19567 finished Sat Jul 2 14:09:02 2022
%------------------------------------------------------------------------------