TSTP Solution File: SET810+4 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:20:48 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 10 07:21:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n025.cluster.edu,
% 0.12/0.35 Sun Jul 10 07:21:01 2022
% 0.12/0.35 The command was "./sos". The process ID is 16077.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 91 during input processing: 0 [copy,91,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Failed to model usable list: disabling FINDER
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 63
% 0.19/0.43 number of clauses initially in problem: 90
% 0.19/0.43 percentage of clauses intially in UL: 70
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 91
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 37
% 0.19/0.43 distinct predicate count: 9
% 0.19/0.43 distinct function count: 23
% 0.19/0.43 distinct constant count: 5
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 0.19/0.47
% 0.19/0.47 -------- PROOF --------
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start Refutation
% 0.19/0.47
% 0.19/0.47 -----> EMPTY CLAUSE at 0.09 sec ----> 822 [hyper,416,64,343,359] {-} $F.
% 0.19/0.47
% 0.19/0.47 Length of proof is 9. Level of proof is 3.
% 0.19/0.47
% 0.19/0.47 ---------------- PROOF ----------------
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start Refutation
% 0.19/0.47
% 0.19/0.47 1 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 0.19/0.47 5 [] {+} equal_set(A,B)| -subset(A,B)| -subset(B,A).
% 0.19/0.47 29 [] {+} -member(A,on)|strict_well_order(member_predicate,A).
% 0.19/0.47 30 [] {+} -member(A,on)| -member(B,A)|subset(B,A).
% 0.19/0.47 33 [] {+} -strict_well_order(A,B)|strict_order(A,B).
% 0.19/0.47 45 [] {+} apply(member_predicate,A,B)| -member(A,B).
% 0.19/0.47 46 [] {+} -strict_order(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)| -apply(A,D,C).
% 0.19/0.47 64 [factor,46.2.3,factor_simp] {+} -strict_order(A,B)| -member(C,B)| -apply(A,C,C).
% 0.19/0.47 87 [] {-} member($c2,on).
% 0.19/0.47 88 [] {-} member($c1,on).
% 0.19/0.47 89 [] {-} member($c2,$c1).
% 0.19/0.47 90 [] {-} member($c1,$c2).
% 0.19/0.47 131 [hyper,88,29] {-} strict_well_order(member_predicate,$c1).
% 0.19/0.47 234 [hyper,89,30,88] {-} subset($c2,$c1).
% 0.19/0.47 261 [hyper,90,45] {-} apply(member_predicate,$c1,$c2).
% 0.19/0.47 263 [hyper,90,30,87] {-} subset($c1,$c2).
% 0.19/0.47 343 [hyper,131,33] {-} strict_order(member_predicate,$c1).
% 0.19/0.47 359 [hyper,234,1,90] {-} member($c1,$c1).
% 0.19/0.47 376,375 [hyper,263,5,234] {-} equal_set($c2,$c1).
% 0.19/0.47 416 [back_demod,261,demod,376] {-} apply(member_predicate,$c1,$c1).
% 0.19/0.47 822 [hyper,416,64,343,359] {-} $F.
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation
% 0.19/0.47 ------------ end of proof -------------
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Search stopped by max_proofs option.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Search stopped by max_proofs option.
% 0.19/0.47
% 0.19/0.47 ============ end of search ============
% 0.19/0.47
% 0.19/0.47 That finishes the proof of the theorem.
% 0.19/0.47
% 0.19/0.47 Process 16077 finished Sun Jul 10 07:21:01 2022
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