%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% 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 13:10:40 EDT 2022
% Result : Theorem 1.56s 1.78s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 2 equ; 6 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ object(A)
| ~ property(B)
| ~ object(C)
| ~ is_the(A,B)
| A != C
| exemplifies_property(B,C) ),
file('PHI011+1.p',unknown),
[] ).
cnf(7,axiom,
~ exemplifies_property(dollar_c3,dollar_c2),
file('PHI011+1.p',unknown),
[] ).
cnf(8,axiom,
A = A,
file('PHI011+1.p',unknown),
[] ).
cnf(9,axiom,
property(dollar_c3),
file('PHI011+1.p',unknown),
[] ).
cnf(12,axiom,
object(dollar_c2),
file('PHI011+1.p',unknown),
[] ).
cnf(13,axiom,
is_the(dollar_c2,dollar_c3),
file('PHI011+1.p',unknown),
[] ).
cnf(15,plain,
exemplifies_property(dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[13,6,12,9,12,8]),
[iquote('hyper,13,6,12,9,12,8')] ).
cnf(16,plain,
$false,
inference(binary,[status(thm)],[15,7]),
[iquote('binary,15.1,7.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% 0.02/0.12 % 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 02:26:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.56/1.78 ----- Otter 3.3f, August 2004 -----
% 1.56/1.78 The process was started by sandbox on n010.cluster.edu,
% 1.56/1.78 Wed Jul 27 02:26:40 2022
% 1.56/1.78 The command was "./otter". The process ID is 23809.
% 1.56/1.78
% 1.56/1.78 set(prolog_style_variables).
% 1.56/1.78 set(auto).
% 1.56/1.78 dependent: set(auto1).
% 1.56/1.78 dependent: set(process_input).
% 1.56/1.78 dependent: clear(print_kept).
% 1.56/1.78 dependent: clear(print_new_demod).
% 1.56/1.78 dependent: clear(print_back_demod).
% 1.56/1.78 dependent: clear(print_back_sub).
% 1.56/1.78 dependent: set(control_memory).
% 1.56/1.78 dependent: assign(max_mem, 12000).
% 1.56/1.78 dependent: assign(pick_given_ratio, 4).
% 1.56/1.78 dependent: assign(stats_level, 1).
% 1.56/1.78 dependent: assign(max_seconds, 10800).
% 1.56/1.78 clear(print_given).
% 1.56/1.78
% 1.56/1.78 formula_list(usable).
% 1.56/1.78 all A (A=A).
% 1.56/1.78 all X (object(X)-> -property(X)).
% 1.56/1.78 all X F (exemplifies_property(F,X)->property(F)&object(X)).
% 1.56/1.78 all X F (is_the(X,F)->property(F)&object(X)).
% 1.56/1.78 all X F Y (object(X)&property(F)&object(Y)-> (is_the(X,F)&X=Y->exemplifies_property(F,Y))).
% 1.56/1.78 -(all F (property(F)-> ((exists Y (object(Y)&is_the(Y,F)))-> (all Z (object(Z)-> (is_the(Z,F)->exemplifies_property(F,Z))))))).
% 1.56/1.78 end_of_list.
% 1.56/1.78
% 1.56/1.78 -------> usable clausifies to:
% 1.56/1.78
% 1.56/1.78 list(usable).
% 1.56/1.78 0 [] A=A.
% 1.56/1.78 0 [] -object(X)| -property(X).
% 1.56/1.78 0 [] -exemplifies_property(F,X)|property(F).
% 1.56/1.78 0 [] -exemplifies_property(F,X)|object(X).
% 1.56/1.78 0 [] -is_the(X,F)|property(F).
% 1.56/1.78 0 [] -is_the(X,F)|object(X).
% 1.56/1.78 0 [] -object(X)| -property(F)| -object(Y)| -is_the(X,F)|X!=Y|exemplifies_property(F,Y).
% 1.56/1.78 0 [] property($c3).
% 1.56/1.78 0 [] object($c1).
% 1.56/1.78 0 [] is_the($c1,$c3).
% 1.56/1.78 0 [] object($c2).
% 1.56/1.78 0 [] is_the($c2,$c3).
% 1.56/1.78 0 [] -exemplifies_property($c3,$c2).
% 1.56/1.78 end_of_list.
% 1.56/1.78
% 1.56/1.78 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=6.
% 1.56/1.78
% 1.56/1.78 This is a Horn set with equality. The strategy will be
% 1.56/1.78 Knuth-Bendix and hyper_res, with positive clauses in
% 1.56/1.78 sos and nonpositive clauses in usable.
% 1.56/1.78
% 1.56/1.78 dependent: set(knuth_bendix).
% 1.56/1.78 dependent: set(anl_eq).
% 1.56/1.78 dependent: set(para_from).
% 1.56/1.78 dependent: set(para_into).
% 1.56/1.78 dependent: clear(para_from_right).
% 1.56/1.78 dependent: clear(para_into_right).
% 1.56/1.78 dependent: set(para_from_vars).
% 1.56/1.78 dependent: set(eq_units_both_ways).
% 1.56/1.78 dependent: set(dynamic_demod_all).
% 1.56/1.78 dependent: set(dynamic_demod).
% 1.56/1.78 dependent: set(order_eq).
% 1.56/1.78 dependent: set(back_demod).
% 1.56/1.78 dependent: set(lrpo).
% 1.56/1.78 dependent: set(hyper_res).
% 1.56/1.78 dependent: clear(order_hyper).
% 1.56/1.78
% 1.56/1.78 ------------> process usable:
% 1.56/1.78 ** KEPT (pick-wt=4): 1 [] -object(A)| -property(A).
% 1.56/1.78 ** KEPT (pick-wt=5): 2 [] -exemplifies_property(A,B)|property(A).
% 1.56/1.78 ** KEPT (pick-wt=5): 3 [] -exemplifies_property(A,B)|object(B).
% 1.56/1.78 ** KEPT (pick-wt=5): 4 [] -is_the(A,B)|property(B).
% 1.56/1.78 ** KEPT (pick-wt=5): 5 [] -is_the(A,B)|object(A).
% 1.56/1.78 ** KEPT (pick-wt=15): 6 [] -object(A)| -property(B)| -object(C)| -is_the(A,B)|A!=C|exemplifies_property(B,C).
% 1.56/1.78 ** KEPT (pick-wt=3): 7 [] -exemplifies_property($c3,$c2).
% 1.56/1.78
% 1.56/1.78 ------------> process sos:
% 1.56/1.78 ** KEPT (pick-wt=3): 8 [] A=A.
% 1.56/1.78 ** KEPT (pick-wt=2): 9 [] property($c3).
% 1.56/1.78 ** KEPT (pick-wt=2): 10 [] object($c1).
% 1.56/1.78 ** KEPT (pick-wt=3): 11 [] is_the($c1,$c3).
% 1.56/1.78 ** KEPT (pick-wt=2): 12 [] object($c2).
% 1.56/1.78 ** KEPT (pick-wt=3): 13 [] is_the($c2,$c3).
% 1.56/1.78 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] A=A.
% 1.56/1.78
% 1.56/1.78 ======= end of input processing =======
% 1.56/1.78
% 1.56/1.78 =========== start of search ===========
% 1.56/1.78
% 1.56/1.78 -------- PROOF --------
% 1.56/1.78
% 1.56/1.78 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,7.1] $F.
% 1.56/1.78
% 1.56/1.78 Length of proof is 1. Level of proof is 1.
% 1.56/1.78
% 1.56/1.78 ---------------- PROOF ----------------
% 1.56/1.78 % SZS status Theorem
% 1.56/1.78 % SZS output start Refutation
% See solution above
% 1.56/1.78 ------------ end of proof -------------
% 1.56/1.78
% 1.56/1.78
% 1.56/1.78 Search stopped by max_proofs option.
% 1.56/1.78
% 1.56/1.78
% 1.56/1.78 Search stopped by max_proofs option.
% 1.56/1.78
% 1.56/1.78 ============ end of search ============
% 1.56/1.78
% 1.56/1.78 -------------- statistics -------------
% 1.56/1.78 clauses given 6
% 1.56/1.78 clauses generated 4
% 1.56/1.78 clauses kept 15
% 1.56/1.78 clauses forward subsumed 3
% 1.56/1.78 clauses back subsumed 0
% 1.56/1.78 Kbytes malloced 976
% 1.56/1.78
% 1.56/1.78 ----------- times (seconds) -----------
% 1.56/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.56/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.56/1.78 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.56/1.78
% 1.56/1.78 That finishes the proof of the theorem.
% 1.56/1.78
% 1.56/1.78 Process 23809 finished Wed Jul 27 02:26:41 2022
% 1.56/1.78 Otter interrupted
% 1.56/1.78 PROOF FOUND
%------------------------------------------------------------------------------