%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET809+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:20:47 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET809+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n011.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 : Sun Jul 10 22:30:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n011.cluster.edu,
% 0.12/0.36 Sun Jul 10 22:30:27 2022
% 0.12/0.36 The command was "./sos". The process ID is 22165.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 89 during input processing: 0 [copy,89,flip.1] {-} A=A.
% 0.12/0.36
% 0.12/0.36 ======= 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: 88
% 0.19/0.43 percentage of clauses intially in UL: 71
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 94
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 36
% 0.19/0.43 distinct predicate count: 9
% 0.19/0.43 distinct function count: 23
% 0.19/0.43 distinct constant count: 4
% 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 ===========
% 0.19/0.44
% 0.19/0.44 -------- PROOF --------
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 % SZS output start Refutation
% 0.19/0.44
% 0.19/0.44 -----> EMPTY CLAUSE at 0.06 sec ----> 356 [hyper,128,64,231,88] {-} $F.
% 0.19/0.44
% 0.19/0.44 Length of proof is 4. Level of proof is 2.
% 0.19/0.44
% 0.19/0.44 ---------------- PROOF ----------------
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 % SZS output start Refutation
% 0.19/0.44
% 0.19/0.44 29 [] {+} -member(A,on)|strict_well_order(member_predicate,A).
% 0.19/0.44 33 [] {+} -strict_well_order(A,B)|strict_order(A,B).
% 0.19/0.44 45 [] {+} apply(member_predicate,A,B)| -member(A,B).
% 0.19/0.44 46 [] {+} -strict_order(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)| -apply(A,D,C).
% 0.19/0.44 64 [factor,46.2.3,factor_simp] {+} -strict_order(A,B)| -member(C,B)| -apply(A,C,C).
% 0.19/0.44 87 [] {-} member($c1,on).
% 0.19/0.44 88 [] {-} member($c1,$c1).
% 0.19/0.44 102 [hyper,87,29] {-} strict_well_order(member_predicate,$c1).
% 0.19/0.44 128 [hyper,88,45] {-} apply(member_predicate,$c1,$c1).
% 0.19/0.44 231 [hyper,102,33] {-} strict_order(member_predicate,$c1).
% 0.19/0.44 356 [hyper,128,64,231,88] {-} $F.
% 0.19/0.44
% 0.19/0.44 % SZS output end Refutation
% 0.19/0.44 ------------ end of proof -------------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Search stopped by max_proofs option.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Search stopped by max_proofs option.
% 0.19/0.44
% 0.19/0.44 ============ end of search ============
% 0.19/0.44
% 0.19/0.44 That finishes the proof of the theorem.
% 0.19/0.44
% 0.19/0.44 Process 22165 finished Sun Jul 10 22:30:27 2022
%------------------------------------------------------------------------------