%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:07:24 EDT 2022
% Result : Unsatisfiable 1.93s 2.16s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 4 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; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ e_qualish(A,B)
| ~ e_qualish(B,C)
| e_qualish(A,C) ),
file('NUM004-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ e_qualish(A,B)
| ~ e_qualish(C,subtract(A,D))
| e_qualish(C,subtract(B,D)) ),
file('NUM004-1.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(subtract(add(a,b),c),add(a,subtract(b,c))),
file('NUM004-1.p',unknown),
[] ).
cnf(7,axiom,
e_qualish(A,A),
file('NUM004-1.p',unknown),
[] ).
cnf(8,axiom,
e_qualish(add(A,B),add(B,A)),
file('NUM004-1.p',unknown),
[] ).
cnf(13,axiom,
e_qualish(subtract(add(A,B),C),add(subtract(A,C),B)),
file('NUM004-1.p',unknown),
[] ).
cnf(15,plain,
e_qualish(subtract(add(A,B),C),subtract(add(B,A),C)),
inference(hyper,[status(thm)],[8,4,7]),
[iquote('hyper,8,4,7')] ).
cnf(354,plain,
e_qualish(subtract(add(A,B),C),add(B,subtract(A,C))),
inference(hyper,[status(thm)],[13,1,8]),
[iquote('hyper,13,1,8')] ).
cnf(2735,plain,
e_qualish(subtract(add(A,B),C),add(A,subtract(B,C))),
inference(hyper,[status(thm)],[354,1,15]),
[iquote('hyper,354,1,15')] ).
cnf(2736,plain,
$false,
inference(binary,[status(thm)],[2735,6]),
[iquote('binary,2735.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 09:48:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.93/2.16 ----- Otter 3.3f, August 2004 -----
% 1.93/2.16 The process was started by sandbox2 on n028.cluster.edu,
% 1.93/2.16 Wed Jul 27 09:48:19 2022
% 1.93/2.16 The command was "./otter". The process ID is 32018.
% 1.93/2.16
% 1.93/2.16 set(prolog_style_variables).
% 1.93/2.16 set(auto).
% 1.93/2.16 dependent: set(auto1).
% 1.93/2.16 dependent: set(process_input).
% 1.93/2.16 dependent: clear(print_kept).
% 1.93/2.16 dependent: clear(print_new_demod).
% 1.93/2.16 dependent: clear(print_back_demod).
% 1.93/2.16 dependent: clear(print_back_sub).
% 1.93/2.16 dependent: set(control_memory).
% 1.93/2.16 dependent: assign(max_mem, 12000).
% 1.93/2.16 dependent: assign(pick_given_ratio, 4).
% 1.93/2.16 dependent: assign(stats_level, 1).
% 1.93/2.16 dependent: assign(max_seconds, 10800).
% 1.93/2.16 clear(print_given).
% 1.93/2.16
% 1.93/2.16 list(usable).
% 1.93/2.16 0 [] e_qualish(A,A).
% 1.93/2.16 0 [] -e_qualish(A,B)| -e_qualish(B,C)|e_qualish(A,C).
% 1.93/2.16 0 [] e_qualish(add(A,B),add(B,A)).
% 1.93/2.16 0 [] e_qualish(add(A,add(B,C)),add(add(A,B),C)).
% 1.93/2.16 0 [] e_qualish(subtract(add(A,B),B),A).
% 1.93/2.16 0 [] e_qualish(A,subtract(add(A,B),B)).
% 1.93/2.16 0 [] e_qualish(add(subtract(A,B),C),subtract(add(A,C),B)).
% 1.93/2.16 0 [] e_qualish(subtract(add(A,B),C),add(subtract(A,C),B)).
% 1.93/2.16 0 [] -e_qualish(A,B)| -e_qualish(C,add(A,D))|e_qualish(C,add(B,D)).
% 1.93/2.16 0 [] -e_qualish(A,B)| -e_qualish(C,add(D,A))|e_qualish(C,add(D,B)).
% 1.93/2.16 0 [] -e_qualish(A,B)| -e_qualish(C,subtract(A,D))|e_qualish(C,subtract(B,D)).
% 1.93/2.16 0 [] -e_qualish(A,B)| -e_qualish(C,subtract(D,A))|e_qualish(C,subtract(D,B)).
% 1.93/2.16 0 [] -e_qualish(subtract(add(a,b),c),add(a,subtract(b,c))).
% 1.93/2.16 end_of_list.
% 1.93/2.16
% 1.93/2.16 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.93/2.16
% 1.93/2.16 This is a Horn set without equality. The strategy will
% 1.93/2.16 be hyperresolution, with satellites in sos and nuclei
% 1.93/2.16 in usable.
% 1.93/2.16
% 1.93/2.16 dependent: set(hyper_res).
% 1.93/2.16 dependent: clear(order_hyper).
% 1.93/2.16
% 1.93/2.16 ------------> process usable:
% 1.93/2.16 ** KEPT (pick-wt=9): 1 [] -e_qualish(A,B)| -e_qualish(B,C)|e_qualish(A,C).
% 1.93/2.16 ** KEPT (pick-wt=13): 2 [] -e_qualish(A,B)| -e_qualish(C,add(A,D))|e_qualish(C,add(B,D)).
% 1.93/2.16 ** KEPT (pick-wt=13): 3 [] -e_qualish(A,B)| -e_qualish(C,add(D,A))|e_qualish(C,add(D,B)).
% 1.93/2.16 ** KEPT (pick-wt=13): 4 [] -e_qualish(A,B)| -e_qualish(C,subtract(A,D))|e_qualish(C,subtract(B,D)).
% 1.93/2.16 ** KEPT (pick-wt=13): 5 [] -e_qualish(A,B)| -e_qualish(C,subtract(D,A))|e_qualish(C,subtract(D,B)).
% 1.93/2.16 ** KEPT (pick-wt=11): 6 [] -e_qualish(subtract(add(a,b),c),add(a,subtract(b,c))).
% 1.93/2.16
% 1.93/2.16 ------------> process sos:
% 1.93/2.16 ** KEPT (pick-wt=3): 7 [] e_qualish(A,A).
% 1.93/2.16 ** KEPT (pick-wt=7): 8 [] e_qualish(add(A,B),add(B,A)).
% 1.93/2.16 ** KEPT (pick-wt=11): 9 [] e_qualish(add(A,add(B,C)),add(add(A,B),C)).
% 1.93/2.16 ** KEPT (pick-wt=7): 10 [] e_qualish(subtract(add(A,B),B),A).
% 1.93/2.16 ** KEPT (pick-wt=7): 11 [] e_qualish(A,subtract(add(A,B),B)).
% 1.93/2.16 ** KEPT (pick-wt=11): 12 [] e_qualish(add(subtract(A,B),C),subtract(add(A,C),B)).
% 1.93/2.16 ** KEPT (pick-wt=11): 13 [] e_qualish(subtract(add(A,B),C),add(subtract(A,C),B)).
% 1.93/2.16
% 1.93/2.16 ======= end of input processing =======
% 1.93/2.16
% 1.93/2.16 =========== start of search ===========
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Resetting weight limit to 11.
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Resetting weight limit to 11.
% 1.93/2.16
% 1.93/2.16 sos_size=2406
% 1.93/2.16
% 1.93/2.16 -------- PROOF --------
% 1.93/2.16
% 1.93/2.16 ----> UNIT CONFLICT at 0.27 sec ----> 2736 [binary,2735.1,6.1] $F.
% 1.93/2.16
% 1.93/2.16 Length of proof is 3. Level of proof is 2.
% 1.93/2.16
% 1.93/2.16 ---------------- PROOF ----------------
% 1.93/2.16 % SZS status Unsatisfiable
% 1.93/2.16 % SZS output start Refutation
% See solution above
% 1.93/2.16 ------------ end of proof -------------
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Search stopped by max_proofs option.
% 1.93/2.16
% 1.93/2.16
% 1.93/2.16 Search stopped by max_proofs option.
% 1.93/2.16
% 1.93/2.16 ============ end of search ============
% 1.93/2.16
% 1.93/2.16 -------------- statistics -------------
% 1.93/2.16 clauses given 175
% 1.93/2.16 clauses generated 77000
% 1.93/2.16 clauses kept 2735
% 1.93/2.16 clauses forward subsumed 3532
% 1.93/2.16 clauses back subsumed 0
% 1.93/2.16 Kbytes malloced 4882
% 1.93/2.16
% 1.93/2.16 ----------- times (seconds) -----------
% 1.93/2.16 user CPU time 0.27 (0 hr, 0 min, 0 sec)
% 1.93/2.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.93/2.16 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.93/2.16
% 1.93/2.16 That finishes the proof of the theorem.
% 1.93/2.16
% 1.93/2.16 Process 32018 finished Wed Jul 27 09:48:20 2022
% 1.93/2.16 Otter interrupted
% 1.93/2.16 PROOF FOUND
%------------------------------------------------------------------------------