TSTP Solution File: LAT268-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 : Sun Jul 17 06:46:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n009.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 : Wed Jun 29 00:16:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n009.cluster.edu,
% 0.13/0.36 Wed Jun 29 00:16:37 2022
% 0.13/0.36 The command was "./sos". The process ID is 6892.
% 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 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=5.
% 0.13/0.36
% 0.13/0.36 This is a Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36 sos and nonpositive 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: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.21/0.56
% 0.21/0.56 Stopped by limit on insertions
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 Failed to model usable list: disabling FINDER
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 -------------- Softie stats --------------
% 0.21/0.56
% 0.21/0.56 UPDATE_STOP: 300
% 0.21/0.56 SFINDER_TIME_LIMIT: 2
% 0.21/0.56 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.56 number of clauses in intial UL: 3
% 0.21/0.56 number of clauses initially in problem: 16
% 0.21/0.56 percentage of clauses intially in UL: 18
% 0.21/0.56 percentage of distinct symbols occuring in initial UL: 90
% 0.21/0.56 percent of all initial clauses that are short: 93
% 0.21/0.56 absolute distinct symbol count: 21
% 0.21/0.56 distinct predicate count: 3
% 0.21/0.56 distinct function count: 9
% 0.21/0.56 distinct constant count: 9
% 0.21/0.56
% 0.21/0.56 ---------- no more Softie stats ----------
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 =========== start of search ===========
% 0.21/0.56
% 0.21/0.56 -------- PROOF --------
% 0.21/0.56 % SZS status Unsatisfiable
% 0.21/0.56 % SZS output start Refutation
% 0.21/0.56
% 0.21/0.56 ----> UNIT CONFLICT at 0.17 sec ----> 27 [binary,26.1,1.1] {-} $F.
% 0.21/0.56
% 0.21/0.56 Length of proof is 8. Level of proof is 5.
% 0.21/0.56
% 0.21/0.56 ---------------- PROOF ----------------
% 0.21/0.56 % SZS status Unsatisfiable
% 0.21/0.56 % SZS output start Refutation
% 0.21/0.56
% 0.21/0.56 1 [] {+} -c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.21/0.56 2 [] {+} -c_in(A,B,C)| -c_in(D,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit))| -c_in(D,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit))| -c_lessequals(B,c_Tarski_Opotype_Opset(D,C,tc_Product__Type_Ounit),tc_set(C))|c_in(c_Pair(A,c_Tarski_Olub(B,D,C),C,C),c_Tarski_Opotype_Oorder(D,C,tc_Product__Type_Ounit),tc_prod(C,C)).
% 0.21/0.56 3 [] {+} -c_in(c_Pair(A,B,C,C),c_Tarski_Opotype_Oorder(c_Tarski_Odual(D,C),C,tc_Product__Type_Ounit),tc_prod(C,C))|c_in(c_Pair(B,A,C,C),c_Tarski_Opotype_Oorder(D,C,tc_Product__Type_Ounit),tc_prod(C,C)).
% 0.21/0.56 4 [] {-} c_lessequals(v_S,v_A,tc_set(t_a)).
% 0.21/0.56 5 [] {-} c_in(v_x,v_S,t_a).
% 0.21/0.56 6 [] {-} v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit).
% 0.21/0.56 7 [copy,6,flip.1] {-} c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 0.21/0.56 9 [] {-} c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.21/0.56 10 [] {-} c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.21/0.56 11 [] {-} c_Tarski_Oglb(A,B,C)=c_Tarski_Olub(A,c_Tarski_Odual(B,C),C).
% 0.21/0.56 12 [copy,11,flip.1] {-} c_Tarski_Olub(A,c_Tarski_Odual(B,C),C)=c_Tarski_Oglb(A,B,C).
% 0.21/0.56 15,14 [] {-} c_Tarski_Opotype_Opset(c_Tarski_Odual(A,B),B,tc_Product__Type_Ounit)=c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit).
% 0.21/0.56 16 [] {-} v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit).
% 0.21/0.56 17 [copy,16,flip.1] {-} c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 0.21/0.56 21 [para_from,17.1.1,3.2.2] {-} -c_in(c_Pair(A,B,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|c_in(c_Pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.21/0.56 22 [para_from,12.1.1,2.5.1.2,demod,15] {-} -c_in(A,B,C)| -c_in(c_Tarski_Odual(D,C),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit))| -c_in(c_Tarski_Odual(D,C),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(C,tc_Product__Type_Ounit))| -c_lessequals(B,c_Tarski_Opotype_Opset(D,C,tc_Product__Type_Ounit),tc_set(C))|c_in(c_Pair(A,c_Tarski_Oglb(B,D,C),C,C),c_Tarski_Opotype_Oorder(c_Tarski_Odual(D,C),C,tc_Product__Type_Ounit),tc_prod(C,C)).
% 0.21/0.56 24 [para_into,22.4.2,7.1.1] {-} -c_in(A,B,t_a)| -c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))| -c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))| -c_lessequals(B,v_A,tc_set(t_a))|c_in(c_Pair(A,c_Tarski_Oglb(B,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 0.21/0.56 25 [hyper,24,5,9,10,4] {-} c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)).
% 0.21/0.56 26 [hyper,25,21] {-} c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.21/0.56 27 [binary,26.1,1.1] {-} $F.
% 0.21/0.56
% 0.21/0.56 % SZS output end Refutation
% 0.21/0.56 ------------ end of proof -------------
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 Search stopped by max_proofs option.
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 Search stopped by max_proofs option.
% 0.21/0.56
% 0.21/0.56 ============ end of search ============
% 0.21/0.56
% 0.21/0.56 That finishes the proof of the theorem.
% 0.21/0.56
% 0.21/0.56 Process 6892 finished Wed Jun 29 00:16:37 2022
%------------------------------------------------------------------------------