TSTP Solution File: COL102-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 : 300s
% DateTime : Wed Jul 27 12:48:14 EDT 2022
% Result : Unsatisfiable 1.64s 1.87s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL102-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,C),c_Comb_Ocomb_Oop_A_D_D(B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL102-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,B,tc_prod(C,C))
| c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)) ),
file('COL102-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ 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)) ),
file('COL102-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL102-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL102-2.p',unknown),
[] ).
cnf(8,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,A),c_Comb_Ocomb_Oop_A_D_D(v_za,A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[5,2]),
[iquote('hyper,5,2')] ).
cnf(10,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,A),c_Comb_Ocomb_Oop_A_D_D(v_za,A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[8,3]),
[iquote('hyper,8,3')] ).
cnf(14,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[10,4,6]),
[iquote('hyper,10,4,6')] ).
cnf(15,plain,
$false,
inference(binary,[status(thm)],[14,1]),
[iquote('binary,14.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:23:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.87 ----- Otter 3.3f, August 2004 -----
% 1.64/1.87 The process was started by sandbox on n003.cluster.edu,
% 1.64/1.87 Wed Jul 27 02:23:11 2022
% 1.64/1.87 The command was "./otter". The process ID is 18815.
% 1.64/1.87
% 1.64/1.87 set(prolog_style_variables).
% 1.64/1.87 set(auto).
% 1.64/1.87 dependent: set(auto1).
% 1.64/1.87 dependent: set(process_input).
% 1.64/1.87 dependent: clear(print_kept).
% 1.64/1.87 dependent: clear(print_new_demod).
% 1.64/1.87 dependent: clear(print_back_demod).
% 1.64/1.87 dependent: clear(print_back_sub).
% 1.64/1.87 dependent: set(control_memory).
% 1.64/1.87 dependent: assign(max_mem, 12000).
% 1.64/1.87 dependent: assign(pick_given_ratio, 4).
% 1.64/1.87 dependent: assign(stats_level, 1).
% 1.64/1.87 dependent: assign(max_seconds, 10800).
% 1.64/1.87 clear(print_given).
% 1.64/1.87
% 1.64/1.87 list(usable).
% 1.64/1.87 0 [] c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 0 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 0 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 0 [] -c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 0 [] -c_in(V_p,V_r,tc_prod(T_a,T_a))|c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 1.64/1.87 0 [] -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))|c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 1.64/1.87 end_of_list.
% 1.64/1.87
% 1.64/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.64/1.87
% 1.64/1.87 This is a Horn set without equality. The strategy will
% 1.64/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.64/1.87 in usable.
% 1.64/1.87
% 1.64/1.87 dependent: set(hyper_res).
% 1.64/1.87 dependent: clear(order_hyper).
% 1.64/1.87
% 1.64/1.87 ------------> process usable:
% 1.64/1.87 ** KEPT (pick-wt=16): 1 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 ** KEPT (pick-wt=24): 2 [] -c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,C),c_Comb_Ocomb_Oop_A_D_D(B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 ** KEPT (pick-wt=14): 3 [] -c_in(A,B,tc_prod(C,C))|c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 1.64/1.87 ** KEPT (pick-wt=36): 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)).
% 1.64/1.87
% 1.64/1.87 ------------> process sos:
% 1.64/1.87 ** KEPT (pick-wt=10): 5 [] c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87 ** KEPT (pick-wt=16): 6 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.64/1.87
% 1.64/1.87 ======= end of input processing =======
% 1.64/1.87
% 1.64/1.87 =========== start of search ===========
% 1.64/1.87
% 1.64/1.87 -------- PROOF --------
% 1.64/1.87
% 1.64/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 15 [binary,14.1,1.1] $F.
% 1.64/1.87
% 1.64/1.87 Length of proof is 3. Level of proof is 3.
% 1.64/1.87
% 1.64/1.87 ---------------- PROOF ----------------
% 1.64/1.87 % SZS status Unsatisfiable
% 1.64/1.87 % SZS output start Refutation
% See solution above
% 1.64/1.87 ------------ end of proof -------------
% 1.64/1.87
% 1.64/1.87
% 1.64/1.87 Search stopped by max_proofs option.
% 1.64/1.87
% 1.64/1.87
% 1.64/1.87 Search stopped by max_proofs option.
% 1.64/1.87
% 1.64/1.87 ============ end of search ============
% 1.64/1.87
% 1.64/1.87 -------------- statistics -------------
% 1.64/1.87 clauses given 6
% 1.64/1.87 clauses generated 8
% 1.64/1.87 clauses kept 14
% 1.64/1.87 clauses forward subsumed 0
% 1.64/1.87 clauses back subsumed 0
% 1.64/1.87 Kbytes malloced 976
% 1.64/1.87
% 1.64/1.87 ----------- times (seconds) -----------
% 1.64/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.64/1.87
% 1.64/1.87 That finishes the proof of the theorem.
% 1.64/1.87
% 1.64/1.87 Process 18815 finished Wed Jul 27 02:23:13 2022
% 1.64/1.87 Otter interrupted
% 1.64/1.87 PROOF FOUND
%------------------------------------------------------------------------------