TSTP Solution File: LCL031-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 22.03s 22.21s
% Output : Refutation 22.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 17:03:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ----- Otter 3.2, August 2001 -----
% 0.12/0.34 The process was started by sandbox on n025.cluster.edu,
% 0.12/0.34 Sun Jul 3 17:03:25 2022
% 0.12/0.34 The command was "./sos". The process ID is 5792.
% 0.12/0.34
% 0.12/0.34 set(prolog_style_variables).
% 0.12/0.34 set(auto).
% 0.12/0.34 dependent: set(auto1).
% 0.12/0.34 dependent: set(process_input).
% 0.12/0.34 dependent: clear(print_kept).
% 0.12/0.34 dependent: clear(print_new_demod).
% 0.12/0.34 dependent: clear(print_back_demod).
% 0.12/0.34 dependent: clear(print_back_sub).
% 0.12/0.34 dependent: set(control_memory).
% 0.12/0.34 dependent: assign(max_mem, 12000).
% 0.12/0.34 dependent: assign(pick_given_ratio, 4).
% 0.12/0.34 dependent: assign(stats_level, 1).
% 0.12/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34 dependent: assign(sos_limit, 5000).
% 0.12/0.34 dependent: assign(max_weight, 60).
% 0.12/0.34 clear(print_given).
% 0.12/0.34
% 0.12/0.34 list(usable).
% 0.12/0.34
% 0.12/0.34 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.34
% 0.12/0.34 This is a Horn set without equality. The strategy will
% 0.12/0.34 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.34 in usable.
% 0.12/0.34
% 0.12/0.34 dependent: set(hyper_res).
% 0.12/0.34 dependent: clear(order_hyper).
% 0.12/0.34
% 0.12/0.34 ------------> process usable:
% 0.12/0.34
% 0.12/0.34 ------------> process sos:
% 0.12/0.34
% 0.12/0.34 ======= end of input processing =======
% 0.18/0.37
% 0.18/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37
% 0.18/0.37 Stopped by limit on number of solutions
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 -------------- Softie stats --------------
% 0.18/0.37
% 0.18/0.37 UPDATE_STOP: 300
% 0.18/0.37 SFINDER_TIME_LIMIT: 2
% 0.18/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37 number of clauses in intial UL: 2
% 0.18/0.37 number of clauses initially in problem: 6
% 0.18/0.37 percentage of clauses intially in UL: 33
% 0.18/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.37 percent of all initial clauses that are short: 100
% 0.18/0.37 absolute distinct symbol count: 7
% 0.18/0.37 distinct predicate count: 1
% 0.18/0.37 distinct function count: 1
% 0.18/0.37 distinct constant count: 5
% 0.18/0.37
% 0.18/0.37 ---------- no more Softie stats ----------
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 =========== start of search ===========
% 20.27/20.45
% 20.27/20.45
% 20.27/20.45 Changing weight limit from 60 to 34.
% 20.27/20.45
% 20.27/20.45 Model 2 (0.00 seconds, 0 Inserts)
% 20.27/20.45
% 20.27/20.45 Stopped by limit on number of solutions
% 20.27/20.45
% 20.27/20.45 Model 3 (0.00 seconds, 0 Inserts)
% 20.27/20.45
% 20.27/20.45 Stopped by limit on number of solutions
% 20.27/20.45
% 20.27/20.45 Stopped by limit on insertions
% 20.27/20.45
% 20.27/20.45 Model 4 [ 1 12 7413 ] (0.00 seconds, 250000 Inserts)
% 20.27/20.45
% 20.27/20.45 Stopped by limit on insertions
% 20.27/20.45
% 20.27/20.45 Stopped by limit on insertions
% 20.27/20.45
% 20.27/20.45 Stopped by limit on insertions
% 20.27/20.45
% 20.27/20.45 Model 5 [ 1 0 573 ] (0.00 seconds, 250000 Inserts)
% 20.27/20.45
% 20.27/20.45 Resetting weight limit to 34 after 215 givens.
% 20.27/20.45
% 20.86/21.04
% 20.86/21.04
% 20.86/21.04 Changing weight limit from 34 to 28.
% 20.86/21.04
% 20.86/21.04 Resetting weight limit to 28 after 280 givens.
% 20.86/21.04
% 20.86/21.08
% 20.86/21.08
% 20.86/21.08 Changing weight limit from 28 to 26.
% 20.86/21.08
% 20.86/21.08 Resetting weight limit to 26 after 285 givens.
% 20.86/21.08
% 20.99/21.18
% 20.99/21.18
% 20.99/21.18 Changing weight limit from 26 to 24.
% 20.99/21.18
% 20.99/21.18 Resetting weight limit to 24 after 290 givens.
% 20.99/21.18
% 21.44/21.63
% 21.44/21.63
% 21.44/21.63 Changing weight limit from 24 to 22.
% 21.44/21.63
% 21.44/21.63 Resetting weight limit to 22 after 310 givens.
% 21.44/21.63
% 21.61/21.80
% 21.61/21.80
% 21.61/21.80 Changing weight limit from 22 to 20.
% 21.61/21.80
% 21.61/21.80 Resetting weight limit to 20 after 325 givens.
% 21.61/21.80
% 22.03/22.21
% 22.03/22.21 -- HEY sandbox, WE HAVE A PROOF!! --
% 22.03/22.21
% 22.03/22.21 ----> UNIT CONFLICT at 21.78 sec ----> 14405 [binary,14404.1,2.1] {-} $F.
% 22.03/22.21
% 22.03/22.21 Length of proof is 29. Level of proof is 14.
% 22.03/22.21
% 22.03/22.21 ---------------- PROOF ----------------
% 22.03/22.21 % SZS status Unsatisfiable
% 22.03/22.21 % SZS output start Refutation
% 22.03/22.21
% 22.03/22.21 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 22.03/22.21 2 [] {+} -is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))).
% 22.03/22.21 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 22.03/22.21 4 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 22.03/22.21 5 [] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 22.03/22.21 6 [] {+} is_a_theorem(implies(falsehood,A)).
% 22.03/22.21 7 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 22.03/22.21 10 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 22.03/22.21 11 [hyper,4,1,6] {-} is_a_theorem(implies(A,implies(falsehood,B))).
% 22.03/22.21 13 [hyper,5,1,4] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 22.03/22.21 16 [hyper,11,1,3] {+} is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))).
% 22.03/22.21 17 [hyper,7,1,7] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 22.03/22.21 21 [hyper,7,1,5] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 22.03/22.21 34 [hyper,10,1,3] {+} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 22.03/22.21 51 [hyper,13,1,3] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),implies(D,C))).
% 22.03/22.21 160 [hyper,21,1,51] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 22.03/22.21 161 [hyper,21,1,16] {+} is_a_theorem(implies(implies(implies(falsehood,A),B),B)).
% 22.03/22.21 166 [hyper,160,1,7] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 22.03/22.21 174 [hyper,166,1,7] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 22.03/22.21 215 [hyper,161,1,166] {-} is_a_theorem(implies(implies(implies(falsehood,A),implies(implies(B,C),B)),B)).
% 22.03/22.21 246 [hyper,174,1,10] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 22.03/22.21 313 [hyper,215,1,7] {-} is_a_theorem(implies(implies(implies(A,B),falsehood),A)).
% 22.03/22.21 323 [hyper,313,1,4] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),falsehood),B))).
% 22.03/22.21 324 [hyper,313,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),falsehood),B))).
% 22.03/22.21 325 [hyper,323,1,174] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),falsehood),A),C),C)).
% 22.03/22.21 370 [hyper,246,1,17] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 22.03/22.21 374 [hyper,246,1,3] {+} is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))).
% 22.03/22.21 609 [hyper,325,1,7] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),falsehood)),implies(A,B))).
% 22.03/22.21 612 [hyper,34,1,324] {-} is_a_theorem(implies(implies(implies(A,B),falsehood),implies(implies(A,C),implies(D,C)))).
% 22.03/22.21 1016 [hyper,609,1,7] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,falsehood),A))).
% 22.03/22.21 7621 [hyper,370,1,1016] {-} is_a_theorem(implies(implies(A,falsehood),implies(implies(implies(B,C),A),B))).
% 22.03/22.21 7650 [hyper,370,1,612] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),falsehood),implies(D,B)))).
% 22.03/22.21 10179 [hyper,374,1,7621] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),implies(A,falsehood)),B))).
% 22.03/22.21 10238 [hyper,10179,1,370] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(C,A))).
% 22.03/22.21 14404 [hyper,7650,1,10238] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),falsehood),implies(E,implies(C,A)))).
% 22.03/22.21 14405 [binary,14404.1,2.1] {-} $F.
% 22.03/22.21
% 22.03/22.21 % SZS output end Refutation
% 22.03/22.21 ------------ end of proof -------------
% 22.03/22.21
% 22.03/22.21
% 22.03/22.21 Search stopped by max_proofs option.
% 22.03/22.21
% 22.03/22.21
% 22.03/22.21 Search stopped by max_proofs option.
% 22.03/22.21
% 22.03/22.21 ============ end of search ============
% 22.03/22.21
% 22.03/22.21 ----------- soft-scott stats ----------
% 22.03/22.21
% 22.03/22.21 true clauses given 114 (29.1%)
% 22.03/22.21 false clauses given 278
% 22.03/22.21
% 22.03/22.21 FALSE TRUE
% 22.03/22.21 12 0 96
% 22.03/22.21 14 68 391
% 22.03/22.21 16 930 819
% 22.03/22.21 18 1534 1021
% 22.03/22.21 20 32 217
% 22.03/22.21 tot: 2564 2544 (49.8% true)
% 22.03/22.21
% 22.03/22.21
% 22.03/22.21 Model 5 [ 1 0 573 ] (0.00 seconds, 250000 Inserts)
% 22.03/22.21
% 22.03/22.21 That finishes the proof of the theorem.
% 22.03/22.21
% 22.03/22.21 Process 5792 finished Sun Jul 3 17:03:47 2022
%------------------------------------------------------------------------------