TSTP Solution File: COL109-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:48:15 EDT 2022
% Result : Unsatisfiable 1.80s 2.07s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),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_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL109-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(C,D,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,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL109-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL109-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL109-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL109-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,A),B),C),c_Comb_Ocomb_Oop_A_D_D(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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL109-2.p',unknown),
[] ).
cnf(9,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[4,2,3]),
[iquote('hyper,4,2,3')] ).
cnf(13,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[5,2,3]),
[iquote('hyper,5,2,3')] ).
cnf(121,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(hyper,[status(thm)],[13,2,9]),
[iquote('hyper,13,2,9')] ).
cnf(4562,plain,
$false,
inference(hyper,[status(thm)],[121,1,6]),
[iquote('hyper,121,1,6')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 02:35:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/2.01 ----- Otter 3.3f, August 2004 -----
% 1.80/2.01 The process was started by sandbox on n027.cluster.edu,
% 1.80/2.01 Wed Jul 27 02:35:36 2022
% 1.80/2.01 The command was "./otter". The process ID is 32613.
% 1.80/2.01
% 1.80/2.01 set(prolog_style_variables).
% 1.80/2.01 set(auto).
% 1.80/2.01 dependent: set(auto1).
% 1.80/2.01 dependent: set(process_input).
% 1.80/2.01 dependent: clear(print_kept).
% 1.80/2.01 dependent: clear(print_new_demod).
% 1.80/2.01 dependent: clear(print_back_demod).
% 1.80/2.01 dependent: clear(print_back_sub).
% 1.80/2.01 dependent: set(control_memory).
% 1.80/2.01 dependent: assign(max_mem, 12000).
% 1.80/2.01 dependent: assign(pick_given_ratio, 4).
% 1.80/2.01 dependent: assign(stats_level, 1).
% 1.80/2.01 dependent: assign(max_seconds, 10800).
% 1.80/2.01 clear(print_given).
% 1.80/2.01
% 1.80/2.01 list(usable).
% 1.80/2.01 0 [] c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 0 [] c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 0 [] c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 0 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),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_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 0 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z),c_Comb_Ocomb_Oop_A_D_D(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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 0 [] -c_in(c_Pair(V_z,V_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(V_x,V_y,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(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 end_of_list.
% 1.80/2.01
% 1.80/2.01 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.80/2.01
% 1.80/2.01 This is a Horn set without equality. The strategy will
% 1.80/2.01 be hyperresolution, with satellites in sos and nuclei
% 1.80/2.01 in usable.
% 1.80/2.01
% 1.80/2.01 dependent: set(hyper_res).
% 1.80/2.01 dependent: clear(order_hyper).
% 1.80/2.01
% 1.80/2.01 ------------> process usable:
% 1.80/2.01 ** KEPT (pick-wt=32): 1 [] -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),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_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 ** KEPT (pick-wt=34): 2 [] -c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(C,D,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,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01
% 1.80/2.01 ------------> process sos:
% 1.80/2.01 ** KEPT (pick-wt=10): 3 [] c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 ** KEPT (pick-wt=10): 4 [] c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 ** KEPT (pick-wt=10): 5 [] c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01 ** KEPT (pick-wt=22): 6 [] c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,A),B),C),c_Comb_Ocomb_Oop_A_D_D(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_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.80/2.01
% 1.80/2.01 ======= end of input processing =======
% 1.80/2.01
% 1.80/2.01 =========== start of search ===========
% 1.80/2.01
% 1.80/2.01
% 1.80/2.01 Resetting weight limit to 22.
% 1.80/2.01
% 1.80/2.01
% 1.80/2.01 Resetting weight limit to 22.
% 1.80/2.01
% 1.80/2.01 sos_size=4425
% 1.80/2.07
% 1.80/2.07 -------- PROOF --------
% 1.80/2.07
% 1.80/2.07 -----> EMPTY CLAUSE at 0.21 sec ----> 4562 [hyper,121,1,6] $F.
% 1.80/2.07
% 1.80/2.07 Length of proof is 3. Level of proof is 2.
% 1.80/2.07
% 1.80/2.07 ---------------- PROOF ----------------
% 1.80/2.07 % SZS status Unsatisfiable
% 1.80/2.07 % SZS output start Refutation
% See solution above
% 1.80/2.07 ------------ end of proof -------------
% 1.80/2.07
% 1.80/2.07
% 1.80/2.07 Search stopped by max_proofs option.
% 1.80/2.07
% 1.80/2.07
% 1.80/2.07 Search stopped by max_proofs option.
% 1.80/2.07
% 1.80/2.07 ============ end of search ============
% 1.80/2.07
% 1.80/2.07 -------------- statistics -------------
% 1.80/2.07 clauses given 134
% 1.80/2.07 clauses generated 18091
% 1.80/2.07 clauses kept 4561
% 1.80/2.07 clauses forward subsumed 67
% 1.80/2.07 clauses back subsumed 0
% 1.80/2.07 Kbytes malloced 4882
% 1.80/2.07
% 1.80/2.07 ----------- times (seconds) -----------
% 1.80/2.07 user CPU time 0.21 (0 hr, 0 min, 0 sec)
% 1.80/2.07 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.80/2.07 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/2.07
% 1.80/2.07 That finishes the proof of the theorem.
% 1.80/2.07
% 1.80/2.07 Process 32613 finished Wed Jul 27 02:35:38 2022
% 1.80/2.07 Otter interrupted
% 1.80/2.07 PROOF FOUND
%------------------------------------------------------------------------------