TSTP Solution File: LCL036-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 14:27:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 10:50:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n011.cluster.edu,
% 0.13/0.35 Mon Jul 4 10:50:36 2022
% 0.13/0.35 The command was "./sos". The process ID is 6329.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This is a Horn set without equality. The strategy will
% 0.13/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35 in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: clear(order_hyper).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.13/0.37
% 0.13/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.37
% 0.13/0.37 Stopped by limit on number of solutions
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 -------------- Softie stats --------------
% 0.13/0.37
% 0.13/0.37 UPDATE_STOP: 300
% 0.13/0.37 SFINDER_TIME_LIMIT: 2
% 0.13/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.37 number of clauses in intial UL: 2
% 0.13/0.37 number of clauses initially in problem: 3
% 0.13/0.37 percentage of clauses intially in UL: 66
% 0.13/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.37 percent of all initial clauses that are short: 100
% 0.13/0.37 absolute distinct symbol count: 4
% 0.13/0.37 distinct predicate count: 1
% 0.13/0.37 distinct function count: 1
% 0.13/0.37 distinct constant count: 2
% 0.13/0.37
% 0.13/0.37 ---------- no more Softie stats ----------
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 =========== start of search ===========
% 0.18/0.42
% 0.18/0.42 -------- PROOF --------
% 0.18/0.42 % SZS status Unsatisfiable
% 0.18/0.42 % SZS output start Refutation
% 0.18/0.42
% 0.18/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 Stopped by limit on number of solutions
% 0.18/0.42
% 0.18/0.42 Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 Stopped by limit on number of solutions
% 0.18/0.42
% 0.18/0.42 Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 Stopped by limit on number of solutions
% 0.18/0.42
% 0.18/0.42 ----> UNIT CONFLICT at 0.04 sec ----> 139 [binary,138.1,2.1] {-} $F.
% 0.18/0.42
% 0.18/0.42 Length of proof is 18. Level of proof is 15.
% 0.18/0.42
% 0.18/0.42 ---------------- PROOF ----------------
% 0.18/0.42 % SZS status Unsatisfiable
% 0.18/0.42 % SZS output start Refutation
% 0.18/0.42
% 0.18/0.42 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.18/0.42 2 [] {+} -is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)).
% 0.18/0.42 3 [] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))).
% 0.18/0.42 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)))).
% 0.18/0.42 6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),implies(D,C))).
% 0.18/0.42 14 [hyper,6,1,6] {-} is_a_theorem(implies(A,implies(B,implies(falsehood,C)))).
% 0.18/0.42 23 [hyper,14,1,14] {+} is_a_theorem(implies(A,implies(falsehood,B))).
% 0.18/0.42 26 [hyper,23,1,3] {-} is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))).
% 0.18/0.42 28 [hyper,26,1,4] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 0.18/0.42 29 [hyper,28,1,28] {+} is_a_theorem(implies(A,implies(B,A))).
% 0.18/0.42 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))).
% 0.18/0.42 39 [hyper,33,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(B,D),implies(A,falsehood)),C))).
% 0.18/0.42 44 [hyper,39,1,29] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(D,implies(C,A)))).
% 0.18/0.42 45 [hyper,39,1,26] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(falsehood,C),falsehood)),implies(D,A))).
% 0.18/0.42 56 [hyper,44,1,39] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),implies(D,falsehood)),implies(D,B)))).
% 0.18/0.42 60 [hyper,45,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))).
% 0.18/0.42 64 [hyper,60,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 0.18/0.42 71 [hyper,56,1,56] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(C,A))).
% 0.18/0.42 114 [hyper,64,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,falsehood),B),C),implies(A,C))).
% 0.18/0.42 122 [hyper,114,1,71] {-} is_a_theorem(implies(A,implies(implies(A,falsehood),B))).
% 0.18/0.42 138 [hyper,122,1,71] {-} is_a_theorem(implies(implies(implies(A,B),falsehood),A)).
% 0.18/0.42 139 [binary,138.1,2.1] {-} $F.
% 0.18/0.42
% 0.18/0.42 % SZS output end Refutation
% 0.18/0.42 ------------ end of proof -------------
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Search stopped by max_proofs option.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Search stopped by max_proofs option.
% 0.18/0.42
% 0.18/0.42 ============ end of search ============
% 0.18/0.42
% 0.18/0.42 ----------- soft-scott stats ----------
% 0.18/0.42
% 0.18/0.42 true clauses given 9 (28.1%)
% 0.18/0.42 false clauses given 23
% 0.18/0.42
% 0.18/0.42 FALSE TRUE
% 0.18/0.42 8 0 2
% 0.18/0.42 10 4 4
% 0.18/0.42 12 2 3
% 0.18/0.42 14 3 5
% 0.18/0.42 16 15 3
% 0.18/0.42 18 11 1
% 0.18/0.42 20 9 0
% 0.18/0.42 22 11 0
% 0.18/0.42 24 8 0
% 0.18/0.42 26 2 0
% 0.18/0.42 28 2 0
% 0.18/0.42 30 1 0
% 0.18/0.42 tot: 68 18 (20.9% true)
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 That finishes the proof of the theorem.
% 0.18/0.42
% 0.18/0.42 Process 6329 finished Mon Jul 4 10:50:36 2022
%------------------------------------------------------------------------------