%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 05:21:49 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n003.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 20:58:44 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 sandbox2 on n003.cluster.edu,
% 0.12/0.36 Sun Jul 10 20:58:44 2022
% 0.12/0.36 The command was "./sos". The process ID is 5337.
% 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=4.
% 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 21 during input processing: 0 [copy,21,flip.1] {-} A=A.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Failed to model usable list: disabling FINDER
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 -------------- Softie stats --------------
% 0.19/0.42
% 0.19/0.42 UPDATE_STOP: 300
% 0.19/0.42 SFINDER_TIME_LIMIT: 2
% 0.19/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.42 number of clauses in intial UL: 16
% 0.19/0.42 number of clauses initially in problem: 22
% 0.19/0.42 percentage of clauses intially in UL: 72
% 0.19/0.42 percentage of distinct symbols occuring in initial UL: 91
% 0.19/0.42 percent of all initial clauses that are short: 100
% 0.19/0.42 absolute distinct symbol count: 12
% 0.19/0.42 distinct predicate count: 3
% 0.19/0.42 distinct function count: 4
% 0.19/0.42 distinct constant count: 5
% 0.19/0.42
% 0.19/0.42 ---------- no more Softie stats ----------
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 =========== start of search ===========
% 0.19/0.45
% 0.19/0.45 -------- PROOF --------
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45
% 0.19/0.45 -----> EMPTY CLAUSE at 0.06 sec ----> 453 [hyper,423,6,21,71] {-} $F.
% 0.19/0.45
% 0.19/0.45 Length of proof is 6. Level of proof is 5.
% 0.19/0.45
% 0.19/0.45 ---------------- PROOF ----------------
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45
% 0.19/0.45 2 [] {+} A!=singleton(B)| -in(C,A)|C=B.
% 0.19/0.45 3 [] {+} A!=singleton(B)|in(C,A)|C!=B.
% 0.19/0.45 5 [] {+} A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 0.19/0.45 6 [] {+} A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 0.19/0.45 7 [] {+} A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 0.19/0.45 11 [] {+} in($c5,set_difference($c4,singleton($c3)))|$c5!=$c3.
% 0.19/0.45 12 [] {+} -in($c5,set_difference($c4,singleton($c3)))| -in($c5,$c4)|$c5=$c3.
% 0.19/0.45 20 [] {-} in($c5,set_difference($c4,singleton($c3)))|in($c5,$c4).
% 0.19/0.45 21 [] {-} A=A.
% 0.19/0.45 71 [hyper,21,3,21] {-} in(A,singleton(A)).
% 0.19/0.45 81 [hyper,20,5,21,factor_simp] {-} in($c5,$c4).
% 0.19/0.45 180 [hyper,81,7,21] {-} in($c5,set_difference($c4,A))|in($c5,A).
% 0.19/0.45 199 [hyper,180,12,81] {-} in($c5,singleton($c3))|$c5=$c3.
% 0.19/0.45 295,294 [hyper,199,2,21,factor_simp] {-} $c5=$c3.
% 0.19/0.45 423 [back_demod,11,demod,295,295,unit_del,21] {-} in($c3,set_difference($c4,singleton($c3))).
% 0.19/0.45 453 [hyper,423,6,21,71] {-} $F.
% 0.19/0.45
% 0.19/0.45 % SZS output end Refutation
% 0.19/0.45 ------------ end of proof -------------
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Search stopped by max_proofs option.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Search stopped by max_proofs option.
% 0.19/0.45
% 0.19/0.45 ============ end of search ============
% 0.19/0.45
% 0.19/0.45 That finishes the proof of the theorem.
% 0.19/0.45
% 0.19/0.45 Process 5337 finished Sun Jul 10 20:58:44 2022
%------------------------------------------------------------------------------