%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP176-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 : 600s
% DateTime : Sat Jul 16 08:45:43 EDT 2022
% Result : Unsatisfiable 0.42s 0.82s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
equal(multiply(A,least_upper_bound(B,C)),least_upper_bound(multiply(A,B),multiply(A,C))),
file('GRP176-2.p',unknown),
[] ).
cnf(14,plain,
equal(multiply(least_upper_bound(A,B),C),least_upper_bound(multiply(A,C),multiply(B,C))),
file('GRP176-2.p',unknown),
[] ).
cnf(17,plain,
~ equal(least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))),least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d)))),
inference(demod,[status(thm),theory(equality)],[14,12]),
[iquote('demod([14,12])')] ).
cnf(18,plain,
$false,
inference(conflict,[status(thm)],[17]),
[iquote('xx_conflict(17)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP176-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.08 % Command : tptp2X_and_run_eqp %s
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 600
% 0.08/0.26 % DateTime : Mon Jun 13 17:37:27 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.42/0.82 ----- EQP 0.9e, May 2009 -----
% 0.42/0.82 The job began on n032.cluster.edu, Mon Jun 13 17:37:27 2022
% 0.42/0.82 The command was "./eqp09e".
% 0.42/0.82
% 0.42/0.82 set(prolog_style_variables).
% 0.42/0.82 set(lrpo).
% 0.42/0.82 set(basic_paramod).
% 0.42/0.82 set(functional_subsume).
% 0.42/0.82 set(ordered_paramod).
% 0.42/0.82 set(prime_paramod).
% 0.42/0.82 set(para_pairs).
% 0.42/0.82 assign(pick_given_ratio,4).
% 0.42/0.82 clear(print_kept).
% 0.42/0.82 clear(print_new_demod).
% 0.42/0.82 clear(print_back_demod).
% 0.42/0.82 clear(print_given).
% 0.42/0.82 assign(max_mem,64000).
% 0.42/0.82 end_of_commands.
% 0.42/0.82
% 0.42/0.82 Usable:
% 0.42/0.82 end_of_list.
% 0.42/0.82
% 0.42/0.82 Sos:
% 0.42/0.82 0 (wt=-1) [] multiply(identity,A) = A.
% 0.42/0.82 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.42/0.82 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.42/0.82 0 (wt=-1) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.42/0.82 0 (wt=-1) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.42/0.82 0 (wt=-1) [] greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C).
% 0.42/0.82 0 (wt=-1) [] least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C).
% 0.42/0.82 0 (wt=-1) [] least_upper_bound(A,A) = A.
% 0.42/0.82 0 (wt=-1) [] greatest_lower_bound(A,A) = A.
% 0.42/0.82 0 (wt=-1) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.42/0.82 0 (wt=-1) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.42/0.82 0 (wt=-1) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.42/0.82 0 (wt=-1) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.42/0.82 0 (wt=-1) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.42/0.82 0 (wt=-1) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.42/0.82 0 (wt=-1) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.42/0.82 0 (wt=-1) [] -(multiply(c,multiply(least_upper_bound(a,b),d)) = least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d)))).
% 0.42/0.82 end_of_list.
% 0.42/0.82
% 0.42/0.82 Demodulators:
% 0.42/0.82 end_of_list.
% 0.42/0.82
% 0.42/0.82 Passive:
% 0.42/0.82 end_of_list.
% 0.42/0.82
% 0.42/0.82 Starting to process input.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.42/0.82 1 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.42/0.82 2 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.42/0.82 3 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.42/0.82 clause forward subsumed: 0 (wt=7) [flip(4)] greatest_lower_bound(B,A) = greatest_lower_bound(A,B).
% 0.42/0.82
% 0.42/0.82 ** KEPT: 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.42/0.82 clause forward subsumed: 0 (wt=7) [flip(5)] least_upper_bound(B,A) = least_upper_bound(A,B).
% 0.42/0.82
% 0.42/0.82 ** KEPT: 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.42/0.82 6 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.42/0.82 7 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.42/0.82 8 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.42/0.82 9 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.42/0.82 10 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.42/0.82 11 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.42/0.82 12 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.42/0.82 13 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.42/0.82 14 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.42/0.82 15 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 16 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.42/0.82 16 is a new demodulator.
% 0.42/0.82
% 0.42/0.82 ** KEPT: 17 (wt=23) [demod([14,12])] -(least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))) = least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d)))).
% 0.42/0.82 ---------------- PROOF FOUND ----------------
% 0.42/0.82 % SZS status Unsatisfiable
% 0.42/0.82
% 0.42/0.82
% 0.42/0.82 UNIT CONFLICT from 17 and x=x at 0.00 seconds.
% 0.42/0.82
% 0.42/0.82 ---------------- PROOF ----------------
% 0.42/0.82 % SZS output start Refutation
% See solution above
% 0.42/0.82 ------------ end of proof -------------
% 0.42/0.82
% 0.42/0.82
% 0.42/0.82 ------------- memory usage ------------
% 0.42/0.82 Memory dynamically allocated (tp_alloc): 488.
% 0.42/0.82 type (bytes each) gets frees in use avail bytes
% 0.42/0.82 sym_ent ( 96) 60 0 60 0 5.6 K
% 0.42/0.82 term ( 16) 1035 864 171 26 3.8 K
% 0.42/0.82 gen_ptr ( 8) 545 153 392 3 3.1 K
% 0.42/0.82 context ( 808) 166 166 0 2 1.6 K
% 0.42/0.82 trail ( 12) 43 43 0 3 0.0 K
% 0.42/0.82 bt_node ( 68) 11 11 0 11 0.7 K
% 0.42/0.82 ac_position (285432) 0 0 0 0 0.0 K
% 0.42/0.82 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.42/0.82 ac_match_free_vars_pos (4020)
% 0.42/0.82 0 0 0 0 0.0 K
% 0.42/0.82 discrim ( 12) 164 0 164 0 1.9 K
% 0.42/0.82 flat ( 40) 282 282 0 7 0.3 K
% 0.42/0.82 discrim_pos ( 12) 4 4 0 1 0.0 K
% 0.42/0.82 fpa_head ( 12) 147 0 147 0 1.7 K
% 0.42/0.82 fpa_tree ( 28) 14 14 0 1 0.0 K
% 0.42/0.82 fpa_pos ( 36) 30 30 0 1 0.0 K
% 0.42/0.82 literal ( 12) 37 20 17 2 0.2 K
% 0.42/0.82 clause ( 24) 37 20 17 2 0.4 K
% 0.42/0.82 list ( 12) 73 15 58 1 0.7 K
% 0.42/0.82 list_pos ( 20) 79 17 62 1 1.2 K
% 0.42/0.82 pair_index ( 40) 2 0 2 0 0.1 K
% 0.42/0.82
% 0.42/0.82 -------------- statistics -------------
% 0.42/0.82 Clauses input 17
% 0.42/0.82 Usable input 0
% 0.42/0.82 Sos input 17
% 0.42/0.82 Demodulators input 0
% 0.42/0.82 Passive input 0
% 0.42/0.82
% 0.42/0.82 Processed BS (before search) 19
% 0.42/0.82 Forward subsumed BS 2
% 0.42/0.82 Kept BS 17
% 0.42/0.82 New demodulators BS 14
% 0.42/0.82 Back demodulated BS 0
% 0.42/0.82
% 0.42/0.82 Clauses or pairs given 0
% 0.42/0.82 Clauses generated 0
% 0.42/0.82 Forward subsumed 0
% 0.42/0.82 Deleted by weight 0
% 0.42/0.82 Deleted by variable count 0
% 0.42/0.82 Kept 0
% 0.42/0.82 New demodulators 0
% 0.42/0.82 Back demodulated 0
% 0.42/0.82 Ordered paramod prunes 0
% 0.42/0.82 Basic paramod prunes 0
% 0.42/0.82 Prime paramod prunes 0
% 0.42/0.82 Semantic prunes 0
% 0.42/0.82
% 0.42/0.82 Rewrite attmepts 99
% 0.42/0.82 Rewrites 2
% 0.42/0.82
% 0.42/0.82 FPA overloads 0
% 0.42/0.82 FPA underloads 0
% 0.42/0.82
% 0.42/0.82 Usable size 0
% 0.42/0.82 Sos size 16
% 0.42/0.82 Demodulators size 14
% 0.42/0.82 Passive size 0
% 0.42/0.82 Disabled size 0
% 0.42/0.82
% 0.42/0.82 Proofs found 1
% 0.42/0.82
% 0.42/0.82 ----------- times (seconds) ----------- Mon Jun 13 17:37:27 2022
% 0.42/0.82
% 0.42/0.82 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/0.82 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/0.82 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.42/0.82 input time 0.00
% 0.42/0.82 paramodulation time 0.00
% 0.42/0.82 demodulation time 0.00
% 0.42/0.82 orient time 0.00
% 0.42/0.82 weigh time 0.00
% 0.42/0.82 forward subsume time 0.00
% 0.42/0.82 back demod find time 0.00
% 0.42/0.82 conflict time 0.00
% 0.42/0.82 LRPO time 0.00
% 0.42/0.82 store clause time 0.00
% 0.42/0.82 disable clause time 0.00
% 0.42/0.82 prime paramod time 0.00
% 0.42/0.82 semantics time 0.00
% 0.42/0.82
% 0.42/0.82 EQP interrupted
%------------------------------------------------------------------------------