TSTP Solution File: LCL636+1.001 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:04:44 EDT 2022
% Result : Theorem 2.12s 2.23s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(dollar_c3,A)
| p2(A) ),
file('LCL636+1.001.p',unknown),
[] ).
cnf(15,axiom,
( r1(dollar_c3,dollar_c1)
| p101(dollar_c3)
| ~ p100(dollar_c3) ),
file('LCL636+1.001.p',unknown),
[] ).
cnf(16,axiom,
( ~ p2(dollar_c1)
| p101(dollar_c3)
| ~ p100(dollar_c3) ),
file('LCL636+1.001.p',unknown),
[] ).
cnf(26,axiom,
~ p101(dollar_c3),
file('LCL636+1.001.p',unknown),
[] ).
cnf(27,axiom,
p100(dollar_c3),
file('LCL636+1.001.p',unknown),
[] ).
cnf(32,plain,
r1(dollar_c3,dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[27,15]),26]),
[iquote('hyper,27,15,unit_del,26')] ).
cnf(35,plain,
p2(dollar_c1),
inference(hyper,[status(thm)],[32,1]),
[iquote('hyper,32,1')] ).
cnf(36,plain,
p101(dollar_c3),
inference(hyper,[status(thm)],[35,16,27]),
[iquote('hyper,35,16,27')] ).
cnf(37,plain,
$false,
inference(binary,[status(thm)],[36,26]),
[iquote('binary,36.1,26.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 09:34:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.07/2.23 ----- Otter 3.3f, August 2004 -----
% 2.07/2.23 The process was started by sandbox on n020.cluster.edu,
% 2.07/2.23 Wed Jul 27 09:34:23 2022
% 2.07/2.23 The command was "./otter". The process ID is 14364.
% 2.07/2.23
% 2.07/2.23 set(prolog_style_variables).
% 2.07/2.23 set(auto).
% 2.07/2.23 dependent: set(auto1).
% 2.07/2.23 dependent: set(process_input).
% 2.07/2.23 dependent: clear(print_kept).
% 2.07/2.23 dependent: clear(print_new_demod).
% 2.07/2.23 dependent: clear(print_back_demod).
% 2.07/2.23 dependent: clear(print_back_sub).
% 2.07/2.23 dependent: set(control_memory).
% 2.07/2.23 dependent: assign(max_mem, 12000).
% 2.07/2.23 dependent: assign(pick_given_ratio, 4).
% 2.07/2.23 dependent: assign(stats_level, 1).
% 2.07/2.23 dependent: assign(max_seconds, 10800).
% 2.07/2.23 clear(print_given).
% 2.07/2.23
% 2.07/2.23 formula_list(usable).
% 2.07/2.23 -(-(exists X (-(-(all Y (-r1(X,Y)|p2(Y)))| -((all Y (-r1(X,Y)| (-(all X (-r1(Y,X)| -(-p2(X)& -p102(X)&p101(X))))& -(all X (-r1(Y,X)| -(p2(X)& -p102(X)&p101(X))))| -(-p101(Y)&p100(Y)))& (((all X (-r1(Y,X)| -p2(X)| -p101(X)))|p2(Y))& ((all X (-r1(Y,X)|p2(X)| -p101(X)))| -p2(Y))| -p101(Y))& (((all X (-r1(Y,X)| -p1(X)| -p100(X)))|p1(Y))& ((all X (-r1(Y,X)|p1(X)| -p100(X)))| -p1(Y))| -p100(Y))& (p101(Y)| -p102(Y))& (p100(Y)| -p101(Y))))& (-(all Y (-r1(X,Y)| -(-p2(Y)& -p102(Y)&p101(Y))))& -(all Y (-r1(X,Y)| -(p2(Y)& -p102(Y)&p101(Y))))| -(-p101(X)&p100(X)))& (((all Y (-r1(X,Y)| -p2(Y)| -p101(Y)))|p2(X))& ((all Y (-r1(X,Y)|p2(Y)| -p101(Y)))| -p2(X))| -p101(X))& (((all Y (-r1(X,Y)| -p1(Y)| -p100(Y)))|p1(X))& ((all Y (-r1(X,Y)|p1(Y)| -p100(Y)))| -p1(X))| -p100(X))& (p101(X)| -p102(X))& (p100(X)| -p101(X))& -p101(X)&p100(X)))))).
% 2.12/2.23 end_of_list.
% 2.12/2.23
% 2.12/2.23 -------> usable clausifies to:
% 2.12/2.23
% 2.12/2.23 list(usable).
% 2.12/2.23 0 [] -r1($c3,Y)|p2(Y).
% 2.12/2.23 0 [] -r1($c3,X1)|r1(X1,$f1(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -p2($f1(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -p102($f1(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|p101($f1(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|r1(X1,$f2(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|p2($f2(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -p102($f2(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|p101($f2(X1))|p101(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -r1(X1,X)| -p2(X)| -p101(X)|p2(X1)| -p101(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -r1(X1,X2)|p2(X2)| -p101(X2)| -p2(X1)| -p101(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -r1(X1,X3)| -p1(X3)| -p100(X3)|p1(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)| -r1(X1,X4)|p1(X4)| -p100(X4)| -p1(X1)| -p100(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|p101(X1)| -p102(X1).
% 2.12/2.23 0 [] -r1($c3,X1)|p100(X1)| -p101(X1).
% 2.12/2.23 0 [] r1($c3,$c1)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] -p2($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] -p102($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] p101($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] r1($c3,$c2)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] p2($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] -p102($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] p101($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 0 [] -r1($c3,X7)| -p1(X7)| -p100(X7)|p1($c3)| -p100($c3).
% 2.12/2.23 0 [] -r1($c3,X8)|p1(X8)| -p100(X8)| -p1($c3)| -p100($c3).
% 2.12/2.23 0 [] p101($c3)| -p102($c3).
% 2.12/2.23 0 [] -p101($c3).
% 2.12/2.23 0 [] p100($c3).
% 2.12/2.23 end_of_list.
% 2.12/2.23
% 2.12/2.23 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 2.12/2.23
% 2.12/2.23 This is a non-Horn set without equality. The strategy will
% 2.12/2.23 be ordered hyper_res, unit deletion, and factoring, with
% 2.12/2.23 satellites in sos and with nuclei in usable.
% 2.12/2.23
% 2.12/2.23 dependent: set(hyper_res).
% 2.12/2.23 dependent: set(factor).
% 2.12/2.23 dependent: set(unit_deletion).
% 2.12/2.23
% 2.12/2.23 ------------> process usable:
% 2.12/2.23 ** KEPT (pick-wt=5): 1 [] -r1($c3,A)|p2(A).
% 2.12/2.23 ** KEPT (pick-wt=11): 2 [] -r1($c3,A)|r1(A,$f1(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 3 [] -r1($c3,A)| -p2($f1(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 4 [] -r1($c3,A)| -p102($f1(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 5 [] -r1($c3,A)|p101($f1(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=11): 6 [] -r1($c3,A)|r1(A,$f2(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 7 [] -r1($c3,A)|p2($f2(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 8 [] -r1($c3,A)| -p102($f2(A))|p101(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=10): 9 [] -r1($c3,A)|p101($f2(A))|p101(A)| -p100(A).
% 2.12/2.23 Following clause subsumed by 1 during input processing: 0 [] -r1($c3,A)| -r1(A,B)| -p2(B)| -p101(B)|p2(A)| -p101(A).
% 2.12/2.23 ** KEPT (pick-wt=14): 10 [] -r1($c3,A)| -r1(A,B)|p2(B)| -p101(B)| -p2(A)| -p101(A).
% 2.12/2.23 ** KEPT (pick-wt=14): 11 [] -r1($c3,A)| -r1(A,B)| -p1(B)| -p100(B)|p1(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=14): 12 [] -r1($c3,A)| -r1(A,B)|p1(B)| -p100(B)| -p1(A)| -p100(A).
% 2.12/2.23 ** KEPT (pick-wt=7): 13 [] -r1($c3,A)|p101(A)| -p102(A).
% 2.12/2.23 ** KEPT (pick-wt=7): 14 [] -r1($c3,A)|p100(A)| -p101(A).
% 2.12/2.23 ** KEPT (pick-wt=7): 15 [] r1($c3,$c1)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 16 [] -p2($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 17 [] -p102($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 18 [] p101($c1)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=7): 19 [] r1($c3,$c2)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 20 [] p2($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 21 [] -p102($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=6): 22 [] p101($c2)|p101($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=11): 23 [] -r1($c3,A)| -p1(A)| -p100(A)|p1($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=11): 24 [] -r1($c3,A)|p1(A)| -p100(A)| -p1($c3)| -p100($c3).
% 2.12/2.23 ** KEPT (pick-wt=4): 25 [] p101($c3)| -p102($c3).
% 2.12/2.23 ** KEPT (pick-wt=2): 26 [] -p101($c3).
% 2.12/2.23
% 2.12/2.23 ------------> process sos:
% 2.12/2.23 ** KEPT (pick-wt=2): 27 [] p100($c3).
% 2.12/2.23
% 2.12/2.23 ======= end of input processing =======
% 2.12/2.23
% 2.12/2.23 =========== start of search ===========
% 2.12/2.23
% 2.12/2.23 -------- PROOF --------
% 2.12/2.23
% 2.12/2.23 ----> UNIT CONFLICT at 0.00 sec ----> 37 [binary,36.1,26.1] $F.
% 2.12/2.23
% 2.12/2.23 Length of proof is 3. Level of proof is 3.
% 2.12/2.23
% 2.12/2.23 ---------------- PROOF ----------------
% 2.12/2.23 % SZS status Theorem
% 2.12/2.23 % SZS output start Refutation
% See solution above
% 2.12/2.23 ------------ end of proof -------------
% 2.12/2.23
% 2.12/2.23
% 2.12/2.23 Search stopped by max_proofs option.
% 2.12/2.23
% 2.12/2.23
% 2.12/2.23 Search stopped by max_proofs option.
% 2.12/2.23
% 2.12/2.23 ============ end of search ============
% 2.12/2.23
% 2.12/2.23 -------------- statistics -------------
% 2.12/2.23 clauses given 9
% 2.12/2.23 clauses generated 28
% 2.12/2.23 clauses kept 36
% 2.12/2.23 clauses forward subsumed 12
% 2.12/2.23 clauses back subsumed 5
% 2.12/2.23 Kbytes malloced 976
% 2.12/2.23
% 2.12/2.23 ----------- times (seconds) -----------
% 2.12/2.23 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.12/2.23 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.12/2.23 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.12/2.23
% 2.12/2.23 That finishes the proof of the theorem.
% 2.12/2.23
% 2.12/2.23 Process 14364 finished Wed Jul 27 09:34:25 2022
% 2.12/2.23 Otter interrupted
% 2.12/2.23 PROOF FOUND
%------------------------------------------------------------------------------