TSTP Solution File: SET954+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 05:22:04 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n012.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 : Sat Jul 9 17:35:43 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 sandbox2 on n012.cluster.edu,
% 0.13/0.35 Sat Jul 9 17:35:44 2022
% 0.13/0.35 The command was "./sos". The process ID is 21207.
% 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 formula_list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This is a Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.35 sos and nonpositive clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 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 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.13/0.35 Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 7
% 0.19/0.38 number of clauses initially in problem: 13
% 0.19/0.38 percentage of clauses intially in UL: 53
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 69
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 13
% 0.19/0.38 distinct predicate count: 3
% 0.19/0.38 distinct function count: 4
% 0.19/0.38 distinct constant count: 6
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 0.19/0.48
% 0.19/0.48 -------- PROOF --------
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % SZS output start Refutation
% 0.19/0.48
% 0.19/0.48 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.48
% 0.19/0.48 Stopped by limit on number of solutions
% 0.19/0.48
% 0.19/0.48 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.48
% 0.19/0.48 Stopped by limit on number of solutions
% 0.19/0.48
% 0.19/0.48 Stopped by limit on insertions
% 0.19/0.48
% 0.19/0.48 Model 4 [ 1 1 798 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.48
% 0.19/0.48 ----> UNIT CONFLICT at 0.10 sec ----> 23 [binary,22.1,7.1] {-} $F.
% 0.19/0.48
% 0.19/0.48 Length of proof is 3. Level of proof is 2.
% 0.19/0.48
% 0.19/0.48 ---------------- PROOF ----------------
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % SZS output start Refutation
% 0.19/0.48
% 0.19/0.48 3 [] {+} -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 0.19/0.48 4 [] {+} -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 0.19/0.48 5 [] {+} in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 0.19/0.48 7 [] {+} -in(ordered_pair($c5,$c6),cartesian_product2($c3,$c4)).
% 0.19/0.48 13 [] {-} in(ordered_pair($c6,$c5),cartesian_product2($c4,$c3)).
% 0.19/0.48 16 [hyper,13,4] {+} in($c5,$c3).
% 0.19/0.48 17 [hyper,13,3] {+} in($c6,$c4).
% 0.19/0.48 22 [hyper,17,5,16] {-} in(ordered_pair($c5,$c6),cartesian_product2($c3,$c4)).
% 0.19/0.48 23 [binary,22.1,7.1] {-} $F.
% 0.19/0.48
% 0.19/0.48 % SZS output end Refutation
% 0.19/0.48 ------------ end of proof -------------
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Search stopped by max_proofs option.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Search stopped by max_proofs option.
% 0.19/0.48
% 0.19/0.48 ============ end of search ============
% 0.19/0.48
% 0.19/0.48 ----------- soft-scott stats ----------
% 0.19/0.48
% 0.19/0.48 true clauses given 1 (20.0%)
% 0.19/0.48 false clauses given 4
% 0.19/0.48
% 0.19/0.48 FALSE TRUE
% 0.19/0.48 3 0 1
% 0.19/0.48 7 1 0
% 0.19/0.48 10 1 0
% 0.19/0.48 11 2 0
% 0.19/0.48 15 1 0
% 0.19/0.48 tot: 5 1 (16.7% true)
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Model 4 [ 1 1 798 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.48
% 0.19/0.48 That finishes the proof of the theorem.
% 0.19/0.48
% 0.19/0.48 Process 21207 finished Sat Jul 9 17:35:44 2022
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