TSTP Solution File: COL121-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 : Fri Jul 15 00:42:18 EDT 2022
% Result : Unsatisfiable 1.06s 1.25s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 15:49:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n018.cluster.edu,
% 0.12/0.35 Tue May 31 15:49:28 2022
% 0.12/0.35 The command was "./sos". The process ID is 31288.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.12/0.35
% 0.12/0.35 This is a Horn set without equality. The strategy will
% 0.12/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35 in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 1.06/1.24
% 1.06/1.24 Stopped by limit on insertions
% 1.06/1.24
% 1.06/1.24 Stopped by limit on insertions
% 1.06/1.24
% 1.06/1.24 Stopped by limit on insertions
% 1.06/1.24
% 1.06/1.24 Stopped by limit on insertions
% 1.06/1.24
% 1.06/1.24 Stopped by limit on insertions
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24 Failed to model usable list: disabling FINDER
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24 -------------- Softie stats --------------
% 1.06/1.24
% 1.06/1.24 UPDATE_STOP: 300
% 1.06/1.24 SFINDER_TIME_LIMIT: 2
% 1.06/1.24 SHORT_CLAUSE_CUTOFF: 4
% 1.06/1.24 number of clauses in intial UL: 7
% 1.06/1.24 number of clauses initially in problem: 10
% 1.06/1.24 percentage of clauses intially in UL: 70
% 1.06/1.24 percentage of distinct symbols occuring in initial UL: 100
% 1.06/1.24 percent of all initial clauses that are short: 90
% 1.06/1.24 absolute distinct symbol count: 13
% 1.06/1.24 distinct predicate count: 2
% 1.06/1.24 distinct function count: 5
% 1.06/1.24 distinct constant count: 6
% 1.06/1.24
% 1.06/1.24 ---------- no more Softie stats ----------
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24 =========== start of search ===========
% 1.06/1.25
% 1.06/1.25 -------- PROOF --------
% 1.06/1.25 % SZS status Unsatisfiable
% 1.06/1.25 % SZS output start Refutation
% 1.06/1.25
% 1.06/1.25 -----> EMPTY CLAUSE at 0.88 sec ----> 108 [hyper,101,7,22] {-} $F.
% 1.06/1.25
% 1.06/1.25 Length of proof is 6. Level of proof is 4.
% 1.06/1.25
% 1.06/1.25 ---------------- PROOF ----------------
% 1.06/1.25 % SZS status Unsatisfiable
% 1.06/1.25 % SZS output start Refutation
% 1.06/1.25
% 1.06/1.25 1 [] {+} -c_Comb_Odiamond(A,B)| -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B))| -c_in(c_Pair(C,E,B,B),c_Transitive__Closure_Ortrancl(A,B),tc_prod(B,B))|c_in(c_Pair(D,c_Comb_Odiamond__strip__lemmaE__1(A,E,D,B),B,B),c_Transitive__Closure_Ortrancl(A,B),tc_prod(B,B)).
% 1.06/1.25 2 [] {+} -c_Comb_Odiamond(A,B)| -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B))| -c_in(c_Pair(C,E,B,B),c_Transitive__Closure_Ortrancl(A,B),tc_prod(B,B))|c_in(c_Pair(E,c_Comb_Odiamond__strip__lemmaE__1(A,E,D,B),B,B),A,tc_prod(B,B)).
% 1.06/1.25 3 [] {+} -c_in(A,B,tc_prod(C,C))|c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 1.06/1.25 4 [] {+} -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))|c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 1.06/1.25 5 [] {+} c_in(c_Pair(v_ya,v_x(A),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| -c_in(c_Pair(v_y,A,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 6 [] {+} c_in(c_Pair(A,v_x(A),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| -c_in(c_Pair(v_y,A,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 7 [] {+} -c_in(c_Pair(v_xaa,A,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| -c_in(c_Pair(v_z,A,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 8 [] {-} c_Comb_Odiamond(v_r,t_a).
% 1.06/1.25 9 [] {-} c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.06/1.25 10 [] {-} c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 12 [hyper,10,6] {-} c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 13 [hyper,10,5] {-} c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 21 [hyper,13,2,8,9] {-} c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.06/1.25 22 [hyper,13,1,8,9] {-} c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 40 [hyper,21,3] {-} c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 101 [hyper,40,4,12] {-} c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 1.06/1.25 108 [hyper,101,7,22] {-} $F.
% 1.06/1.25
% 1.06/1.25 % SZS output end Refutation
% 1.06/1.25 ------------ end of proof -------------
% 1.06/1.25
% 1.06/1.25
% 1.06/1.25 Search stopped by max_proofs option.
% 1.06/1.25
% 1.06/1.25
% 1.06/1.25 Search stopped by max_proofs option.
% 1.06/1.25
% 1.06/1.25 ============ end of search ============
% 1.06/1.25
% 1.06/1.25 That finishes the proof of the theorem.
% 1.06/1.25
% 1.06/1.25 Process 31288 finished Tue May 31 15:49:29 2022
%------------------------------------------------------------------------------