TSTP Solution File: COL123-2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COL123-2 : 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 00:42:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n018.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 : Tue May 31 09:55:58 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 sandbox on n018.cluster.edu,
% 0.12/0.36 Tue May 31 09:55:58 2022
% 0.12/0.36 The command was "./sos". The process ID is 19735.
% 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 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.36
% 0.12/0.36 This is a Horn set without equality. The strategy will
% 0.12/0.36 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.36 in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: clear(order_hyper).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 7
% 0.12/0.38 number of clauses initially in problem: 9
% 0.12/0.38 percentage of clauses intially in UL: 77
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 12
% 0.12/0.38 distinct predicate count: 1
% 0.12/0.38 distinct function count: 5
% 0.12/0.38 distinct constant count: 6
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 0.20/0.47
% 0.20/0.47 -------- PROOF --------
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47 % SZS output start Refutation
% 0.20/0.47
% 0.20/0.47 -----> EMPTY CLAUSE at 0.10 sec ----> 611 [hyper,329,5,20] {-} $F.
% 0.20/0.47
% 0.20/0.47 Length of proof is 6. Level of proof is 4.
% 0.20/0.47
% 0.20/0.47 ---------------- PROOF ----------------
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47 % SZS output start Refutation
% 0.20/0.47
% 0.20/0.47 1 [] {+} -c_in(A,B,tc_prod(C,C))|c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 0.20/0.47 2 [] {+} -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)).
% 0.20/0.47 3 [] {+} c_in(c_Pair(A,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_x,A,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 4 [] {+} c_in(c_Pair(v_y,v_xaa(A),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(v_x,A,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 5 [] {+} -c_in(c_Pair(v_z,A,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(v_xb,A,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 0.20/0.47 6 [] {+} c_in(c_Pair(A,v_xa(B,A,C),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 7 [] {+} c_in(c_Pair(A,v_xa(B,C,A),t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a))| -c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 8 [] {-} c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 9 [] {-} c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 13 [hyper,9,4] {-} c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 14 [hyper,9,3] {+} c_in(c_Pair(v_xb,v_xaa(v_xb),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 0.20/0.47 18 [hyper,13,7,8] {-} c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 20 [hyper,13,6,8] {-} c_in(c_Pair(v_z,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 0.20/0.47 45 [hyper,18,1] {+} c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 0.20/0.47 329 [hyper,45,2,14] {+} c_in(c_Pair(v_xb,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 0.20/0.47 611 [hyper,329,5,20] {-} $F.
% 0.20/0.47
% 0.20/0.47 % SZS output end Refutation
% 0.20/0.47 ------------ end of proof -------------
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Search stopped by max_proofs option.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Search stopped by max_proofs option.
% 0.20/0.47
% 0.20/0.47 ============ end of search ============
% 0.20/0.47
% 0.20/0.47 ----------- soft-scott stats ----------
% 0.20/0.47
% 0.20/0.47 true clauses given 27 (35.1%)
% 0.20/0.47 false clauses given 50
% 0.20/0.47
% 0.20/0.47 FALSE TRUE
% 0.20/0.47 16 0 2
% 0.20/0.47 17 0 9
% 0.20/0.47 18 0 7
% 0.20/0.47 19 0 3
% 0.20/0.47 20 0 1
% 0.20/0.47 21 0 2
% 0.20/0.47 24 0 1
% 0.20/0.47 25 0 4
% 0.20/0.47 26 0 5
% 0.20/0.47 27 0 6
% 0.20/0.47 28 0 6
% 0.20/0.47 29 0 4
% 0.20/0.47 30 0 4
% 0.20/0.47 31 0 1
% 0.20/0.47 44 1 0
% 0.20/0.47 45 8 2
% 0.20/0.47 46 28 7
% 0.20/0.47 47 12 0
% 0.20/0.47 48 24 0
% 0.20/0.47 49 48 0
% 0.20/0.47 50 46 0
% 0.20/0.47 51 60 0
% 0.20/0.47 52 60 0
% 0.20/0.47 53 46 0
% 0.20/0.47 54 48 0
% 0.20/0.47 55 24 0
% 0.20/0.47 56 12 0
% 0.20/0.47 57 28 0
% 0.20/0.47 58 8 0
% 0.20/0.47 59 8 0
% 0.20/0.47 60 1 0
% 0.20/0.47 tot: 462 64 (12.2% true)
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.47
% 0.20/0.47 That finishes the proof of the theorem.
% 0.20/0.47
% 0.20/0.47 Process 19735 finished Tue May 31 09:55:58 2022
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