TSTP Solution File: SET622+3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 05:19:32 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 00:41:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 -------- PROOF --------
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output start Refutation
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n027.cluster.edu,
% 0.13/0.36 Sun Jul 10 00:41:17 2022
% 0.13/0.36 The command was "./sos". The process ID is 18072.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 formula_list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ----> UNIT CONFLICT at 0.00 sec ----> 43 [binary,42.1,41.1] {-} $F.
% 0.13/0.36
% 0.13/0.36 Length of proof is 4. Level of proof is 2.
% 0.13/0.36
% 0.13/0.36 ---------------- PROOF ----------------
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % SZS output start Refutation
% 0.13/0.36
% 0.13/0.36 18 [] {-} difference($c3,symmetric_difference($c2,$c1))!=union(difference($c3,union($c2,$c1)),intersection(intersection($c3,$c2),$c1)).
% 0.13/0.36 19 [copy,18,flip.1] {-} union(difference($c3,union($c2,$c1)),intersection(intersection($c3,$c2),$c1))!=difference($c3,symmetric_difference($c2,$c1)).
% 0.13/0.36 25,24 [] {-} intersection(intersection(A,B),C)=intersection(A,intersection(B,C)).
% 0.13/0.36 26 [] {-} difference(A,difference(B,C))=union(difference(A,B),intersection(A,C)).
% 0.13/0.36 28,27 [copy,26,flip.1] {-} union(difference(A,B),intersection(A,C))=difference(A,difference(B,C)).
% 0.13/0.36 29 [] {-} symmetric_difference(A,B)=difference(union(A,B),intersection(A,B)).
% 0.13/0.36 31,30 [copy,29,flip.1] {-} difference(union(A,B),intersection(A,B))=symmetric_difference(A,B).
% 0.13/0.36 41 [] {-} A=A.
% 0.13/0.36 42 [back_demod,19,demod,25,28,31] {-} difference($c3,symmetric_difference($c2,$c1))!=difference($c3,symmetric_difference($c2,$c1)).
% 0.13/0.36 43 [binary,42.1,41.1] {-} $F.
% 0.13/0.36
% 0.13/0.36 % SZS output end Refutation
% 0.13/0.36 ------------ end of proof -------------
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 Search stopped by max_proofs option.
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 Search stopped by max_proofs option.
% 0.13/0.36
% 0.13/0.36 ============ end of search ============
% 0.13/0.36
% 0.13/0.36 That finishes the proof of the theorem.
% 0.13/0.36
% 0.13/0.36 Process 18072 finished Sun Jul 10 00:41:17 2022
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