TSTP Solution File: LCL656+1.005 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 14:31:36 EDT 2022
% Result : Theorem 24.55s 24.75s
% Output : Refutation 24.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 19:05:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.25/4.46 ----- Otter 3.2, August 2001 -----
% 4.25/4.46 The process was started by sandbox2 on n015.cluster.edu,
% 4.25/4.46 Mon Jul 4 19:05:17 2022
% 4.25/4.46 The command was "./sos". The process ID is 9903.
% 4.25/4.46
% 4.25/4.46 set(prolog_style_variables).
% 4.25/4.46 set(auto).
% 4.25/4.46 dependent: set(auto1).
% 4.25/4.46 dependent: set(process_input).
% 4.25/4.46 dependent: clear(print_kept).
% 4.25/4.46 dependent: clear(print_new_demod).
% 4.25/4.46 dependent: clear(print_back_demod).
% 4.25/4.46 dependent: clear(print_back_sub).
% 4.25/4.46 dependent: set(control_memory).
% 4.25/4.46 dependent: assign(max_mem, 12000).
% 4.25/4.46 dependent: assign(pick_given_ratio, 4).
% 4.25/4.46 dependent: assign(stats_level, 1).
% 4.25/4.46 dependent: assign(pick_semantic_ratio, 3).
% 4.25/4.46 dependent: assign(sos_limit, 5000).
% 4.25/4.46 dependent: assign(max_weight, 60).
% 4.25/4.46 clear(print_given).
% 4.25/4.46
% 4.25/4.46 formula_list(usable).
% 4.25/4.46
% 4.25/4.46 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 4.25/4.46
% 4.25/4.46 This is a non-Horn set without equality. The strategy
% 4.25/4.46 will be ordered hyper_res, ur_res, unit deletion, and
% 4.25/4.46 factoring, with satellites in sos and nuclei in usable.
% 4.25/4.46
% 4.25/4.46 dependent: set(hyper_res).
% 4.25/4.46 dependent: set(factor).
% 4.25/4.46 dependent: set(unit_deletion).
% 4.25/4.46
% 4.25/4.46 ------------> process usable:
% 4.25/4.46 Following clause subsumed by 1 during input processing: 0 [] {-} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -r1(E,F)| -p3(F)| -p102(F)|p3(E)| -p102(E).
% 4.25/4.46 685 back subsumes 683.
% 4.25/4.46 1394 back subsumes 1386.
% 4.25/4.46 1394 back subsumes 1383.
% 4.25/4.46 1399 back subsumes 1393.
% 4.25/4.46 1400 back subsumes 1398.
% 4.25/4.46 1401 back subsumes 1391.
% 4.25/4.46 1405 back subsumes 1381.
% 4.25/4.46 1417 back subsumes 1410.
% 4.25/4.46 1417 back subsumes 1407.
% 4.25/4.46 1421 back subsumes 1416.
% 4.25/4.46 1441 back subsumes 1433.
% 4.25/4.46 1441 back subsumes 1430.
% 4.25/4.46 1446 back subsumes 1440.
% 4.25/4.46 1447 back subsumes 1445.
% 4.25/4.46 1448 back subsumes 1438.
% 4.25/4.46 1452 back subsumes 1428.
% 4.25/4.46 1464 back subsumes 1457.
% 4.25/4.46 1464 back subsumes 1454.
% 4.25/4.46 1468 back subsumes 1463.
% 4.25/4.46 1488 back subsumes 1480.
% 4.25/4.46 1488 back subsumes 1477.
% 4.25/4.46 1493 back subsumes 1487.
% 4.25/4.46 1494 back subsumes 1492.
% 4.25/4.46 1495 back subsumes 1485.
% 4.25/4.46 1499 back subsumes 1475.
% 4.25/4.46 1511 back subsumes 1504.
% 4.25/4.46 1511 back subsumes 1501.
% 4.25/4.46 1515 back subsumes 1510.
% 4.25/4.46 1535 back subsumes 1533.
% 4.25/4.46 1541 back subsumes 1539.
% 4.25/4.46 1550 back subsumes 1548.
% 4.25/4.46 1574 back subsumes 1566.
% 4.25/4.46 1574 back subsumes 1563.
% 4.25/4.46 1579 back subsumes 1573.
% 4.25/4.46 1580 back subsumes 1578.
% 4.25/4.46 1581 back subsumes 1571.
% 4.25/4.46 1585 back subsumes 1561.
% 4.25/4.46 1597 back subsumes 1590.
% 4.25/4.46 1597 back subsumes 1587.
% 4.25/4.46 1601 back subsumes 1596.
% 4.25/4.46 1611 back subsumes 1609.
% 4.25/4.46 1622 back subsumes 1620.
% 4.25/4.46 1633 back subsumes 1631.
% 4.25/4.46 1644 back subsumes 1642.
% 4.25/4.46 1650 back subsumes 1112.
% 4.25/4.46 1650 back subsumes 1105.
% 4.25/4.46 1650 back subsumes 1094.
% 4.25/4.46 1650 back subsumes 1087.
% 4.25/4.46 1650 back subsumes 1076.
% 4.25/4.46 1650 back subsumes 1069.
% 4.25/4.46 1650 back subsumes 1058.
% 4.25/4.46 1650 back subsumes 1051.
% 4.25/4.46 1650 back subsumes 1040.
% 4.25/4.46 1650 back subsumes 1033.
% 4.25/4.46 1650 back subsumes 1022.
% 4.25/4.46 1650 back subsumes 1015.
% 4.25/4.46 1650 back subsumes 1004.
% 4.25/4.46 1650 back subsumes 997.
% 4.25/4.46 1650 back subsumes 986.
% 4.25/4.46 1650 back subsumes 979.
% 4.25/4.46 1653 back subsumes 1114.
% 4.25/4.46 1653 back subsumes 1110.
% 4.25/4.46 1653 back subsumes 1096.
% 4.25/4.46 1653 back subsumes 1092.
% 4.25/4.46 1653 back subsumes 1078.
% 4.25/4.46 1653 back subsumes 1074.
% 4.25/4.46 1653 back subsumes 1060.
% 4.25/4.46 1653 back subsumes 1056.
% 4.25/4.46 1653 back subsumes 1042.
% 4.25/4.46 1653 back subsumes 1038.
% 4.25/4.46 1653 back subsumes 1024.
% 4.25/4.46 1653 back subsumes 1020.
% 4.25/4.46 1653 back subsumes 1006.
% 4.25/4.46 1653 back subsumes 1002.
% 4.25/4.46 1653 back subsumes 988.
% 4.25/4.46 1653 back subsumes 984.
% 4.25/4.46
% 4.25/4.46 ------------> process sos:
% 4.25/4.46
% 4.25/4.46 ======= end of input processing =======
% 4.44/4.64
% 4.44/4.64 Model 1 (0.00 seconds, 0 Inserts)
% 4.44/4.64
% 4.44/4.64 Stopped by limit on number of solutions
% 4.44/4.64
% 4.44/4.64
% 4.44/4.64 -------------- Softie stats --------------
% 4.44/4.64
% 4.44/4.64 UPDATE_STOP: 300
% 4.44/4.64 SFINDER_TIME_LIMIT: 2
% 4.44/4.64 SHORT_CLAUSE_CUTOFF: 4
% 4.44/4.64 number of clauses in intial UL: 1615
% 4.44/4.64 number of clauses initially in problem: 1617
% 4.44/4.64 percentage of clauses intially in UL: 99
% 4.44/4.64 percentage of distinct symbols occuring in initial UL: 100
% 4.44/4.64 percent of all initial clauses that are short: 100
% 4.44/4.64 absolute distinct symbol count: 25
% 4.44/4.64 distinct predicate count: 14
% 4.44/4.64 distinct function count: 10
% 4.44/4.64 distinct constant count: 1
% 4.44/4.64
% 4.44/4.64 ---------- no more Softie stats ----------
% 4.44/4.64
% 4.44/4.64
% 4.44/4.64
% 4.44/4.64 Model 2 (0.00 seconds, 0 Inserts)
% 4.44/4.64
% 4.44/4.64 Stopped by limit on number of solutions
% 4.44/4.64
% 4.44/4.64 =========== start of search ===========
% 24.55/24.75
% 24.55/24.75 -- HEY sandbox2, WE HAVE A PROOF!! --
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 3 [ 1 6 7862 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 4 [ 1 7 10322 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 5 [ 1 15 22305 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 6 [ 1 97 172661 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 7 [ 1 17 33720 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 8 [ 2 119 221328 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 9 [ 2 7 12234 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 10 [ 1 72 138657 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 11 [ 2 5 6416 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 12 [ 4 6 10034 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 13 [ 4 104 180623 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 14 [ 1 50 86665 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 15 [ 3 95 170233 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 16 [ 3 7 12471 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 17 [ 1 14 20111 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 18 [ 3 39 62350 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 Stopped by limit on insertions
% 24.55/24.75
% 24.55/24.75 Model 19 [ 1 36 64904 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 -----> EMPTY CLAUSE at 24.34 sec ----> 1856 [hyper,1855,1690,1692,1693] {-} $F.
% 24.55/24.75
% 24.55/24.75 Length of proof is 21. Level of proof is 8.
% 24.55/24.75
% 24.55/24.75 ---------------- PROOF ----------------
% 24.55/24.75 % SZS status Theorem
% 24.55/24.75 % SZS output start Refutation
% 24.55/24.75
% 24.55/24.75 1 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p3(E).
% 24.55/24.75 26 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f7(A,B,C,D,E))|p102(E)| -p101(E).
% 24.55/24.75 27 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p3($f7(A,B,C,D,E))|p102(E)| -p101(E).
% 24.55/24.75 38 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f10(A,B,C,D,E))|p101(E)| -p100(E).
% 24.55/24.75 40 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p102($f10(A,B,C,D,E))|p101(E)| -p100(E).
% 24.55/24.75 41 [] {+} -r1($c1,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p101($f10(A,B,C,D,E))|p101(E)| -p100(E).
% 24.55/24.75 59 [] {+} -p101($c1).
% 24.55/24.75 67 [factor,1.3.4] {+} -r1($c1,A)| -r1(A,B)| -r1(B,B)| -r1(B,C)|p3(C).
% 24.55/24.75 314 [factor,26.2.3] {+} -r1($c1,A)| -r1(A,A)| -r1(A,B)| -r1(B,C)|r1(C,$f7(A,A,A,B,C))|p102(C)| -p101(C).
% 24.55/24.75 324 [factor,27.2.3] {+} -r1($c1,A)| -r1(A,A)| -r1(A,B)| -r1(B,C)| -p3($f7(A,A,A,B,C))|p102(C)| -p101(C).
% 24.55/24.75 430 [factor,38.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)| -r1(B,C)|r1(C,$f10($c1,$c1,A,B,C))|p101(C)| -p100(C).
% 24.55/24.75 450 [factor,40.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)| -r1(B,C)| -p102($f10($c1,$c1,A,B,C))|p101(C)| -p100(C).
% 24.55/24.75 460 [factor,41.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)| -r1(B,C)|p101($f10($c1,$c1,A,B,C))|p101(C)| -p100(C).
% 24.55/24.75 688 [factor,67.3.4] {+} -r1($c1,A)| -r1(A,B)| -r1(B,B)|p3(B).
% 24.55/24.75 1131 [factor,314.2.3] {+} -r1($c1,A)| -r1(A,A)| -r1(A,B)|r1(B,$f7(A,A,A,A,B))|p102(B)| -p101(B).
% 24.55/24.75 1145 [factor,324.2.3] {+} -r1($c1,A)| -r1(A,A)| -r1(A,B)| -p3($f7(A,A,A,A,B))|p102(B)| -p101(B).
% 24.55/24.75 1305 [factor,430.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)|r1(B,$f10($c1,$c1,$c1,A,B))|p101(B)| -p100(B).
% 24.55/24.75 1341 [factor,450.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)| -p102($f10($c1,$c1,$c1,A,B))|p101(B)| -p100(B).
% 24.55/24.75 1359 [factor,460.1.2] {+} -r1($c1,$c1)| -r1($c1,A)| -r1(A,B)|p101($f10($c1,$c1,$c1,A,B))|p101(B)| -p100(B).
% 24.55/24.75 1688 [factor,1305.1.3,unit_del,59,factor_simp] {+} -r1($c1,$c1)|r1($c1,$f10($c1,$c1,$c1,$c1,$c1))| -p100($c1).
% 24.55/24.75 1690 [factor,1341.1.3,unit_del,59,factor_simp] {+} -r1($c1,$c1)| -p102($f10($c1,$c1,$c1,$c1,$c1))| -p100($c1).
% 24.55/24.75 1691 [factor,1359.1.3,unit_del,59,factor_simp] {+} -r1($c1,$c1)|p101($f10($c1,$c1,$c1,$c1,$c1))| -p100($c1).
% 24.55/24.75 1692 [] {+} r1(A,A).
% 24.55/24.75 1693 [] {-} p100($c1).
% 24.55/24.75 1695 [hyper,1693,1691,1692] {+} p101($f10($c1,$c1,$c1,$c1,$c1)).
% 24.55/24.75 1697 [hyper,1693,1688,1692] {+} r1($c1,$f10($c1,$c1,$c1,$c1,$c1)).
% 24.55/24.75 1723 [hyper,1697,1131,1692,1692,1695] {+} r1($f10($c1,$c1,$c1,$c1,$c1),$f7($c1,$c1,$c1,$c1,$f10($c1,$c1,$c1,$c1,$c1)))|p102($f10($c1,$c1,$c1,$c1,$c1)).
% 24.55/24.75 1810 [hyper,1723,1690,1692,1693] {+} r1($f10($c1,$c1,$c1,$c1,$c1),$f7($c1,$c1,$c1,$c1,$f10($c1,$c1,$c1,$c1,$c1))).
% 24.55/24.75 1822 [hyper,1810,688,1697,1692] {+} p3($f7($c1,$c1,$c1,$c1,$f10($c1,$c1,$c1,$c1,$c1))).
% 24.55/24.75 1855 [hyper,1822,1145,1692,1692,1697,1695] {+} p102($f10($c1,$c1,$c1,$c1,$c1)).
% 24.55/24.75 1856 [hyper,1855,1690,1692,1693] {-} $F.
% 24.55/24.75
% 24.55/24.75 % SZS output end Refutation
% 24.55/24.75 ------------ end of proof -------------
% 24.55/24.75
% 24.55/24.75
% 24.55/24.75 Search stopped by max_proofs option.
% 24.55/24.75
% 24.55/24.75
% 24.55/24.75 Search stopped by max_proofs option.
% 24.55/24.75
% 24.55/24.75 ============ end of search ============
% 24.55/24.75
% 24.55/24.75 ----------- soft-scott stats ----------
% 24.55/24.75
% 24.55/24.75 true clauses given 26 (47.3%)
% 24.55/24.75 false clauses given 29
% 24.55/24.75
% 24.55/24.75 FALSE TRUE
% 24.55/24.75 12 0 1
% 24.55/24.75 25 0 2
% 24.55/24.75 29 0 3
% 24.55/24.75 30 0 2
% 24.55/24.75 33 0 1
% 24.55/24.75 34 0 9
% 24.55/24.75 35 0 2
% 24.55/24.75 38 0 1
% 24.55/24.75 39 0 9
% 24.55/24.75 40 0 2
% 24.55/24.75 44 0 12
% 24.55/24.75 45 0 6
% 24.55/24.75 49 0 12
% 24.55/24.75 50 0 4
% 24.55/24.75 54 0 12
% 24.55/24.75 55 0 8
% 24.55/24.75 59 0 6
% 24.55/24.75 60 0 8
% 24.55/24.75 tot: 0 100 (100.0% true)
% 24.55/24.75
% 24.55/24.75
% 24.55/24.75 Model 19 [ 1 36 64904 ] (0.00 seconds, 250000 Inserts)
% 24.55/24.75
% 24.55/24.75 That finishes the proof of the theorem.
% 24.55/24.75
% 24.55/24.75 Process 9903 finished Mon Jul 4 19:05:41 2022
%------------------------------------------------------------------------------