%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:06:18 EDT 2022
% Result : Unsatisfiable 1.88s 2.10s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 4 unt; 7 nHn; 6 RR)
% Number of literals : 33 ( 0 equ; 13 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 34 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ e_q(p1,p2),
file('MSC008-2.002.p',unknown),
[] ).
cnf(3,axiom,
( ~ latin(A,B,C)
| ~ latin(A,B,D)
| e_q(D,C) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(6,axiom,
( ~ greek(A,B,C)
| ~ greek(A,B,D)
| e_q(D,C) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(9,axiom,
( ~ greek(A,B,C)
| ~ latin(A,B,D)
| ~ greek(E,F,C)
| ~ latin(E,F,D)
| e_q(F,B)
| e_q(E,A) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(16,plain,
( ~ greek(A,A,B)
| ~ latin(A,A,C)
| ~ greek(D,D,B)
| ~ latin(D,D,C)
| e_q(D,A) ),
inference(factor,[status(thm)],[9]),
[iquote('factor,9.5.6')] ).
cnf(19,axiom,
( latin(A,p1,B)
| latin(A,p2,B) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(20,axiom,
( latin(p1,A,B)
| latin(p2,A,B) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(22,axiom,
( greek(A,p1,B)
| greek(A,p2,B) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(23,axiom,
( greek(p1,A,B)
| greek(p2,A,B) ),
file('MSC008-2.002.p',unknown),
[] ).
cnf(517,plain,
( greek(p2,p1,A)
| latin(p1,p2,B) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[23,16,22,20,19]),1])])]),
[iquote('hyper,23,16,22,20,19,unit_del,1,factor_simp,factor_simp')] ).
cnf(937,plain,
( greek(p2,p1,A)
| e_q(B,C) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[517,3,517])]),
[iquote('hyper,517,3,517,factor_simp')] ).
cnf(938,plain,
greek(p2,p1,A),
inference(hyper,[status(thm)],[937,1]),
[iquote('hyper,937,1')] ).
cnf(1047,plain,
e_q(A,B),
inference(hyper,[status(thm)],[938,6,938]),
[iquote('hyper,938,6,938')] ).
cnf(1048,plain,
$false,
inference(binary,[status(thm)],[1047,1]),
[iquote('binary,1047.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 08:52:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.88/2.10 ----- Otter 3.3f, August 2004 -----
% 1.88/2.10 The process was started by sandbox on n010.cluster.edu,
% 1.88/2.10 Wed Jul 27 08:52:24 2022
% 1.88/2.10 The command was "./otter". The process ID is 20751.
% 1.88/2.10
% 1.88/2.10 set(prolog_style_variables).
% 1.88/2.10 set(auto).
% 1.88/2.10 dependent: set(auto1).
% 1.88/2.10 dependent: set(process_input).
% 1.88/2.10 dependent: clear(print_kept).
% 1.88/2.10 dependent: clear(print_new_demod).
% 1.88/2.10 dependent: clear(print_back_demod).
% 1.88/2.10 dependent: clear(print_back_sub).
% 1.88/2.10 dependent: set(control_memory).
% 1.88/2.10 dependent: assign(max_mem, 12000).
% 1.88/2.10 dependent: assign(pick_given_ratio, 4).
% 1.88/2.10 dependent: assign(stats_level, 1).
% 1.88/2.10 dependent: assign(max_seconds, 10800).
% 1.88/2.10 clear(print_given).
% 1.88/2.10
% 1.88/2.10 list(usable).
% 1.88/2.10 0 [] -e_q(p1,p2).
% 1.88/2.10 0 [] e_q(A,A).
% 1.88/2.10 0 [] -e_q(A,B)|e_q(B,A).
% 1.88/2.10 0 [] -latin(A,B,C)| -latin(A,B,D)|e_q(D,C).
% 1.88/2.10 0 [] -latin(A,B,C)| -latin(A,D,C)|e_q(D,B).
% 1.88/2.10 0 [] -latin(A,B,C)| -latin(D,B,C)|e_q(D,A).
% 1.88/2.10 0 [] -greek(A,B,C)| -greek(A,B,D)|e_q(D,C).
% 1.88/2.10 0 [] -greek(A,B,C)| -greek(A,D,C)|e_q(D,B).
% 1.88/2.10 0 [] -greek(A,B,C)| -greek(D,B,C)|e_q(D,A).
% 1.88/2.10 0 [] latin(E,F,p1)|latin(E,F,p2).
% 1.88/2.10 0 [] latin(G,p1,H)|latin(G,p2,H).
% 1.88/2.10 0 [] latin(p1,I,J)|latin(p2,I,J).
% 1.88/2.10 0 [] greek(K,L,p1)|greek(K,L,p2).
% 1.88/2.10 0 [] greek(M,p1,N)|greek(M,p2,N).
% 1.88/2.10 0 [] greek(p1,O,P)|greek(p2,O,P).
% 1.88/2.10 0 [] -greek(A,B,C)| -latin(A,B,D)| -greek(E,F,C)| -latin(E,F,D)|e_q(F,B)|e_q(E,A).
% 1.88/2.10 end_of_list.
% 1.88/2.10
% 1.88/2.10 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.88/2.10
% 1.88/2.10 This is a non-Horn set without equality. The strategy will
% 1.88/2.10 be ordered hyper_res, unit deletion, and factoring, with
% 1.88/2.10 satellites in sos and with nuclei in usable.
% 1.88/2.10
% 1.88/2.10 dependent: set(hyper_res).
% 1.88/2.10 dependent: set(factor).
% 1.88/2.10 dependent: set(unit_deletion).
% 1.88/2.10
% 1.88/2.10 ------------> process usable:
% 1.88/2.10 ** KEPT (pick-wt=3): 1 [] -e_q(p1,p2).
% 1.88/2.10 ** KEPT (pick-wt=6): 2 [] -e_q(A,B)|e_q(B,A).
% 1.88/2.10 ** KEPT (pick-wt=11): 3 [] -latin(A,B,C)| -latin(A,B,D)|e_q(D,C).
% 1.88/2.10 ** KEPT (pick-wt=11): 4 [] -latin(A,B,C)| -latin(A,D,C)|e_q(D,B).
% 1.88/2.10 ** KEPT (pick-wt=11): 5 [] -latin(A,B,C)| -latin(D,B,C)|e_q(D,A).
% 1.88/2.10 ** KEPT (pick-wt=11): 6 [] -greek(A,B,C)| -greek(A,B,D)|e_q(D,C).
% 1.88/2.10 ** KEPT (pick-wt=11): 7 [] -greek(A,B,C)| -greek(A,D,C)|e_q(D,B).
% 1.88/2.10 ** KEPT (pick-wt=11): 8 [] -greek(A,B,C)| -greek(D,B,C)|e_q(D,A).
% 1.88/2.10 ** KEPT (pick-wt=22): 9 [] -greek(A,B,C)| -latin(A,B,D)| -greek(E,F,C)| -latin(E,F,D)|e_q(F,B)|e_q(E,A).
% 1.88/2.10
% 1.88/2.10 ------------> process sos:
% 1.88/2.10 ** KEPT (pick-wt=3): 17 [] e_q(A,A).
% 1.88/2.10 ** KEPT (pick-wt=8): 18 [] latin(A,B,p1)|latin(A,B,p2).
% 1.88/2.10 ** KEPT (pick-wt=8): 19 [] latin(A,p1,B)|latin(A,p2,B).
% 1.88/2.10 ** KEPT (pick-wt=8): 20 [] latin(p1,A,B)|latin(p2,A,B).
% 1.88/2.10 ** KEPT (pick-wt=8): 21 [] greek(A,B,p1)|greek(A,B,p2).
% 1.88/2.10 ** KEPT (pick-wt=8): 22 [] greek(A,p1,B)|greek(A,p2,B).
% 1.88/2.10 ** KEPT (pick-wt=8): 23 [] greek(p1,A,B)|greek(p2,A,B).
% 1.88/2.10 17 back subsumes 15.
% 1.88/2.10 17 back subsumes 14.
% 1.88/2.10 17 back subsumes 13.
% 1.88/2.10 17 back subsumes 12.
% 1.88/2.10 17 back subsumes 11.
% 1.88/2.10 17 back subsumes 10.
% 1.88/2.10
% 1.88/2.10 ======= end of input processing =======
% 1.88/2.10
% 1.88/2.10 =========== start of search ===========
% 1.88/2.10
% 1.88/2.10 -------- PROOF --------
% 1.88/2.10
% 1.88/2.10 ----> UNIT CONFLICT at 0.24 sec ----> 1048 [binary,1047.1,1.1] $F.
% 1.88/2.10
% 1.88/2.10 Length of proof is 5. Level of proof is 5.
% 1.88/2.10
% 1.88/2.10 ---------------- PROOF ----------------
% 1.88/2.10 % SZS status Unsatisfiable
% 1.88/2.10 % SZS output start Refutation
% See solution above
% 1.88/2.10 ------------ end of proof -------------
% 1.88/2.10
% 1.88/2.10
% 1.88/2.10 Search stopped by max_proofs option.
% 1.88/2.10
% 1.88/2.10
% 1.88/2.10 Search stopped by max_proofs option.
% 1.88/2.10
% 1.88/2.10 ============ end of search ============
% 1.88/2.10
% 1.88/2.10 -------------- statistics -------------
% 1.88/2.10 clauses given 10
% 1.88/2.10 clauses generated 3554
% 1.88/2.10 clauses kept 1047
% 1.88/2.10 clauses forward subsumed 2523
% 1.88/2.10 clauses back subsumed 306
% 1.88/2.10 Kbytes malloced 976
% 1.88/2.10
% 1.88/2.10 ----------- times (seconds) -----------
% 1.88/2.10 user CPU time 0.24 (0 hr, 0 min, 0 sec)
% 1.88/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.88/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.88/2.10
% 1.88/2.10 That finishes the proof of the theorem.
% 1.88/2.10
% 1.88/2.10 Process 20751 finished Wed Jul 27 08:52:26 2022
% 1.88/2.10 Otter interrupted
% 1.88/2.10 PROOF FOUND
%------------------------------------------------------------------------------