TSTP Solution File: MSC005-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 13:06:17 EDT 2022
% Result : Unsatisfiable 2.27s 2.43s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ value(A,truth)
| ~ value(B,truth)
| value(xor(A,B),falsity) ),
file('MSC005-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ value(A,truth)
| ~ value(B,falsity)
| value(xor(A,B),truth) ),
file('MSC005-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ value(A,falsity)
| ~ value(B,falsity)
| value(xor(A,B),falsity) ),
file('MSC005-1.p',unknown),
[] ).
cnf(5,axiom,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),A),
file('MSC005-1.p',unknown),
[] ).
cnf(6,axiom,
value(truth,truth),
file('MSC005-1.p',unknown),
[] ).
cnf(7,axiom,
value(falsity,falsity),
file('MSC005-1.p',unknown),
[] ).
cnf(11,plain,
value(xor(truth,falsity),truth),
inference(hyper,[status(thm)],[7,2,6]),
[iquote('hyper,7,2,6')] ).
cnf(38,plain,
value(xor(xor(truth,falsity),falsity),truth),
inference(hyper,[status(thm)],[11,2,7]),
[iquote('hyper,11,2,7')] ).
cnf(536,plain,
value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(hyper,[status(thm)],[38,1,6]),
[iquote('hyper,38,1,6')] ).
cnf(11050,plain,
value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),falsity),
inference(hyper,[status(thm)],[536,4,7]),
[iquote('hyper,536,4,7')] ).
cnf(11051,plain,
$false,
inference(binary,[status(thm)],[11050,5]),
[iquote('binary,11050.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 08:58:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.27/2.43 ----- Otter 3.3f, August 2004 -----
% 2.27/2.43 The process was started by sandbox2 on n006.cluster.edu,
% 2.27/2.43 Wed Jul 27 08:58:47 2022
% 2.27/2.43 The command was "./otter". The process ID is 4640.
% 2.27/2.43
% 2.27/2.43 set(prolog_style_variables).
% 2.27/2.43 set(auto).
% 2.27/2.43 dependent: set(auto1).
% 2.27/2.43 dependent: set(process_input).
% 2.27/2.43 dependent: clear(print_kept).
% 2.27/2.43 dependent: clear(print_new_demod).
% 2.27/2.43 dependent: clear(print_back_demod).
% 2.27/2.43 dependent: clear(print_back_sub).
% 2.27/2.43 dependent: set(control_memory).
% 2.27/2.43 dependent: assign(max_mem, 12000).
% 2.27/2.43 dependent: assign(pick_given_ratio, 4).
% 2.27/2.43 dependent: assign(stats_level, 1).
% 2.27/2.43 dependent: assign(max_seconds, 10800).
% 2.27/2.43 clear(print_given).
% 2.27/2.43
% 2.27/2.43 list(usable).
% 2.27/2.43 0 [] value(truth,truth).
% 2.27/2.43 0 [] value(falsity,falsity).
% 2.27/2.43 0 [] -value(X,truth)| -value(Y,truth)|value(xor(X,Y),falsity).
% 2.27/2.43 0 [] -value(X,truth)| -value(Y,falsity)|value(xor(X,Y),truth).
% 2.27/2.43 0 [] -value(X,falsity)| -value(Y,truth)|value(xor(X,Y),truth).
% 2.27/2.43 0 [] -value(X,falsity)| -value(Y,falsity)|value(xor(X,Y),falsity).
% 2.27/2.43 0 [] -value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),Value).
% 2.27/2.43 end_of_list.
% 2.27/2.43
% 2.27/2.43 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 2.27/2.43
% 2.27/2.43 This is a Horn set without equality. The strategy will
% 2.27/2.43 be hyperresolution, with satellites in sos and nuclei
% 2.27/2.43 in usable.
% 2.27/2.43
% 2.27/2.43 dependent: set(hyper_res).
% 2.27/2.43 dependent: clear(order_hyper).
% 2.27/2.43
% 2.27/2.43 ------------> process usable:
% 2.27/2.43 ** KEPT (pick-wt=11): 1 [] -value(A,truth)| -value(B,truth)|value(xor(A,B),falsity).
% 2.27/2.43 ** KEPT (pick-wt=11): 2 [] -value(A,truth)| -value(B,falsity)|value(xor(A,B),truth).
% 2.27/2.43 ** KEPT (pick-wt=11): 3 [] -value(A,falsity)| -value(B,truth)|value(xor(A,B),truth).
% 2.27/2.43 ** KEPT (pick-wt=11): 4 [] -value(A,falsity)| -value(B,falsity)|value(xor(A,B),falsity).
% 2.27/2.43 ** KEPT (pick-wt=11): 5 [] -value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),A).
% 2.27/2.43
% 2.27/2.43 ------------> process sos:
% 2.27/2.43 ** KEPT (pick-wt=3): 6 [] value(truth,truth).
% 2.27/2.43 ** KEPT (pick-wt=3): 7 [] value(falsity,falsity).
% 2.27/2.43
% 2.27/2.43 ======= end of input processing =======
% 2.27/2.43
% 2.27/2.43 =========== start of search ===========
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Resetting weight limit to 13.
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Resetting weight limit to 13.
% 2.27/2.43
% 2.27/2.43 sos_size=10921
% 2.27/2.43
% 2.27/2.43 -------- PROOF --------
% 2.27/2.43
% 2.27/2.43 ----> UNIT CONFLICT at 0.37 sec ----> 11051 [binary,11050.1,5.1] $F.
% 2.27/2.43
% 2.27/2.43 Length of proof is 4. Level of proof is 4.
% 2.27/2.43
% 2.27/2.43 ---------------- PROOF ----------------
% 2.27/2.43 % SZS status Unsatisfiable
% 2.27/2.43 % SZS output start Refutation
% See solution above
% 2.27/2.43 ------------ end of proof -------------
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Search stopped by max_proofs option.
% 2.27/2.43
% 2.27/2.43
% 2.27/2.43 Search stopped by max_proofs option.
% 2.27/2.43
% 2.27/2.43 ============ end of search ============
% 2.27/2.43
% 2.27/2.43 -------------- statistics -------------
% 2.27/2.43 clauses given 108
% 2.27/2.43 clauses generated 11670
% 2.27/2.43 clauses kept 11050
% 2.27/2.43 clauses forward subsumed 105
% 2.27/2.43 clauses back subsumed 0
% 2.27/2.43 Kbytes malloced 4882
% 2.27/2.43
% 2.27/2.43 ----------- times (seconds) -----------
% 2.27/2.43 user CPU time 0.37 (0 hr, 0 min, 0 sec)
% 2.27/2.43 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.27/2.43 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.27/2.43
% 2.27/2.43 That finishes the proof of the theorem.
% 2.27/2.43
% 2.27/2.43 Process 4640 finished Wed Jul 27 08:58:49 2022
% 2.27/2.43 Otter interrupted
% 2.27/2.43 PROOF FOUND
%------------------------------------------------------------------------------