TSTP Solution File: COL119-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL119-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 12:48:17 EDT 2022
% Result : Unsatisfiable 1.66s 1.83s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Pair(v_y_H,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL119-2.p',unknown),
[] ).
cnf(2,axiom,
c_in(c_Pair(v_y_H,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL119-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL119-2.p',unknown),
[] ).
cnf(4,plain,
$false,
inference(hyper,[status(thm)],[3,1,2]),
[iquote('hyper,3,1,2')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL119-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Wed Jul 27 02:23:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.66/1.83 ----- Otter 3.3f, August 2004 -----
% 1.66/1.83 The process was started by sandbox2 on n014.cluster.edu,
% 1.66/1.83 Wed Jul 27 02:23:54 2022
% 1.66/1.83 The command was "./otter". The process ID is 25261.
% 1.66/1.83
% 1.66/1.83 set(prolog_style_variables).
% 1.66/1.83 set(auto).
% 1.66/1.83 dependent: set(auto1).
% 1.66/1.83 dependent: set(process_input).
% 1.66/1.83 dependent: clear(print_kept).
% 1.66/1.83 dependent: clear(print_new_demod).
% 1.66/1.83 dependent: clear(print_back_demod).
% 1.66/1.83 dependent: clear(print_back_sub).
% 1.66/1.83 dependent: set(control_memory).
% 1.66/1.83 dependent: assign(max_mem, 12000).
% 1.66/1.83 dependent: assign(pick_given_ratio, 4).
% 1.66/1.83 dependent: assign(stats_level, 1).
% 1.66/1.83 dependent: assign(max_seconds, 10800).
% 1.66/1.83 clear(print_given).
% 1.66/1.83
% 1.66/1.83 list(usable).
% 1.66/1.83 0 [] c_in(c_Pair(v_y_H,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83 0 [] -c_in(c_Pair(v_y_H,V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83 0 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_y),V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83 end_of_list.
% 1.66/1.83
% 1.66/1.83 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.66/1.83
% 1.66/1.83 This is a Horn set without equality. The strategy will
% 1.66/1.83 be hyperresolution, with satellites in sos and nuclei
% 1.66/1.83 in usable.
% 1.66/1.83
% 1.66/1.83 dependent: set(hyper_res).
% 1.66/1.83 dependent: clear(order_hyper).
% 1.66/1.83
% 1.66/1.83 ------------> process usable:
% 1.66/1.83 ** KEPT (pick-wt=24): 1 [] -c_in(c_Pair(v_y_H,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x_H),v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83
% 1.66/1.83 ------------> process sos:
% 1.66/1.83 ** KEPT (pick-wt=10): 2 [] c_in(c_Pair(v_y_H,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83 ** KEPT (pick-wt=14): 3 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.66/1.83
% 1.66/1.83 ======= end of input processing =======
% 1.66/1.83
% 1.66/1.83 =========== start of search ===========
% 1.66/1.83
% 1.66/1.83 -------- PROOF --------
% 1.66/1.83
% 1.66/1.83 -----> EMPTY CLAUSE at 0.00 sec ----> 4 [hyper,3,1,2] $F.
% 1.66/1.83
% 1.66/1.83 Length of proof is 0. Level of proof is 0.
% 1.66/1.83
% 1.66/1.83 ---------------- PROOF ----------------
% 1.66/1.83 % SZS status Unsatisfiable
% 1.66/1.83 % SZS output start Refutation
% See solution above
% 1.66/1.84 ------------ end of proof -------------
% 1.66/1.84
% 1.66/1.84
% 1.66/1.84 Search stopped by max_proofs option.
% 1.66/1.84
% 1.66/1.84
% 1.66/1.84 Search stopped by max_proofs option.
% 1.66/1.84
% 1.66/1.84 ============ end of search ============
% 1.66/1.84
% 1.66/1.84 -------------- statistics -------------
% 1.66/1.84 clauses given 2
% 1.66/1.84 clauses generated 1
% 1.66/1.84 clauses kept 3
% 1.66/1.84 clauses forward subsumed 0
% 1.66/1.84 clauses back subsumed 0
% 1.66/1.84 Kbytes malloced 976
% 1.66/1.84
% 1.66/1.84 ----------- times (seconds) -----------
% 1.66/1.84 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.84 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.84 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.84
% 1.66/1.84 That finishes the proof of the theorem.
% 1.66/1.84
% 1.66/1.84 Process 25261 finished Wed Jul 27 02:23:56 2022
% 1.66/1.84 Otter interrupted
% 1.66/1.84 PROOF FOUND
%------------------------------------------------------------------------------