TSTP Solution File: REL001-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n013.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 : Mon Jul 18 19:15:08 EDT 2022
% Result : Unsatisfiable 0.63s 1.04s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 4 RR)
% Number of literals : 30 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL001-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(complement(join(complement(A),complement(B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(join(meet(A,B),complement(join(complement(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(composition(A,one),A),
file('REL001-1.p',unknown),
[] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL001-1.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL001-1.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL001-1.p',unknown),
[] ).
cnf(13,plain,
equal(join(A,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(meet(A,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
~ equal(join(zero,sk1),sk1),
file('REL001-1.p',unknown),
[] ).
cnf(19,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),4]),
[iquote('para(1,4),demod([4])')] ).
cnf(25,plain,
equal(meet(complement(A),A),zero),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,19]),1]),
[iquote('para(14,19),flip(1)')] ).
cnf(28,plain,
equal(join(meet(A,complement(B)),meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(29,plain,
equal(composition(converse(one),converse(A)),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1]),
[iquote('para(7,11),flip(1)')] ).
cnf(30,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,29]),9]),
[iquote('para(9,29),demod([9])')] ).
cnf(31,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,7]),1]),
[iquote('para(30,7),flip(1)')] ).
cnf(32,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),31]),
[iquote('back_demod(30),demod([31])')] ).
cnf(37,plain,
equal(complement(top),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),14]),
[iquote('para(13,4),demod([14])')] ).
cnf(59,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),37]),
[iquote('para(13,5),demod([37])')] ).
cnf(139,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[19,59]),
[iquote('para(19,59)')] ).
cnf(145,plain,
equal(join(zero,complement(join(complement(complement(A)),A))),complement(A)),
inference(para,[status(thm),theory(equality)],[25,5]),
[iquote('para(25,5)')] ).
cnf(146,plain,
equal(join(zero,meet(complement(complement(A)),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[139,1]),1]),
[iquote('para(139,1),flip(1)')] ).
cnf(147,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,28]),146]),1]),
[iquote('para(25,28),demod([146]),flip(1)')] ).
cnf(148,plain,
equal(join(zero,complement(join(A,A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[145]),147]),
[iquote('back_demod(145),demod([147])')] ).
cnf(213,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,12]),32,32]),
[iquote('para(31,12),demod([32,32])')] ).
cnf(232,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[147,213]),147,147]),
[iquote('para(147,213),demod([147,147])')] ).
cnf(233,plain,
equal(join(zero,complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[148]),232]),
[iquote('back_demod(148),demod([232])')] ).
cnf(239,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[147,233]),147]),
[iquote('para(147,233),demod([147])')] ).
cnf(240,plain,
$false,
inference(conflict,[status(thm)],[239,15]),
[iquote('conflict(239,15)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 08:52:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.63/1.04 ----- EQP 0.9e, May 2009 -----
% 0.63/1.04 The job began on n013.cluster.edu, Fri Jul 8 08:52:15 2022
% 0.63/1.04 The command was "./eqp09e".
% 0.63/1.04
% 0.63/1.04 set(prolog_style_variables).
% 0.63/1.04 set(lrpo).
% 0.63/1.04 set(basic_paramod).
% 0.63/1.04 set(functional_subsume).
% 0.63/1.04 set(ordered_paramod).
% 0.63/1.04 set(prime_paramod).
% 0.63/1.04 set(para_pairs).
% 0.63/1.04 assign(pick_given_ratio,4).
% 0.63/1.04 clear(print_kept).
% 0.63/1.04 clear(print_new_demod).
% 0.63/1.04 clear(print_back_demod).
% 0.63/1.04 clear(print_given).
% 0.63/1.04 assign(max_mem,64000).
% 0.63/1.04 end_of_commands.
% 0.63/1.04
% 0.63/1.04 Usable:
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Sos:
% 0.63/1.04 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.63/1.04 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 0.63/1.04 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 0.63/1.04 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 0.63/1.04 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 0.63/1.04 0 (wt=-1) [] composition(A,one) = A.
% 0.63/1.04 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 0.63/1.04 0 (wt=-1) [] converse(converse(A)) = A.
% 0.63/1.04 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.63/1.04 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.63/1.04 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.63/1.04 0 (wt=-1) [] top = join(A,complement(A)).
% 0.63/1.04 0 (wt=-1) [] zero = meet(A,complement(A)).
% 0.63/1.04 0 (wt=-1) [] -(join(zero,sk1) = sk1).
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Demodulators:
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Passive:
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Starting to process input.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 0.63/1.04 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 0.63/1.04
% 0.63/1.04 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.63/1.04 2 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 0.63/1.04 3 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.63/1.04 4 is a new demodulator.
% 0.63/1.04 -> 4 back demodulating 3.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.63/1.04 5 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.63/1.04 6 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 0.63/1.04 7 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.63/1.04 8 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 0.63/1.04 9 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.63/1.04 10 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.63/1.04 11 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.63/1.04 12 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.63/1.04 13 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.63/1.04 14 is a new demodulator.
% 0.63/1.04
% 0.63/1.04 ** KEPT: 15 (wt=5) [] -(join(zero,sk1) = sk1).
% 0.63/1.04 ---------------- PROOF FOUND ----------------
% 0.63/1.04 % SZS status Unsatisfiable
% 0.63/1.04
% 0.63/1.04
% 0.63/1.04 After processing input:
% 0.63/1.04
% 0.63/1.04 Usable:
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Sos:
% 0.63/1.04 7 (wt=5) [] composition(A,one) = A.
% 0.63/1.04 9 (wt=5) [] converse(converse(A)) = A.
% 0.63/1.04 15 (wt=5) [] -(join(zero,sk1) = sk1).
% 0.63/1.04 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.63/1.04 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.63/1.04 1 (wt=7) [] join(A,B) = join(B,A).
% 0.63/1.04 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.63/1.04 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.63/1.04 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.63/1.04 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.63/1.04 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.63/1.04 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.63/1.04 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.63/1.04 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Demodulators:
% 0.63/1.04 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.63/1.04 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.63/1.04 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.63/1.04 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.63/1.04 7 (wt=5) [] composition(A,one) = A.
% 0.63/1.04 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.63/1.04 9 (wt=5) [] converse(converse(A)) = A.
% 0.63/1.04 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.63/1.04 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.63/1.04 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.63/1.04 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.63/1.04 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 Passive:
% 0.63/1.04 end_of_list.
% 0.63/1.04
% 0.63/1.04 UNIT CONFLICT from 239 and 15 at 0.01 seconds.
% 0.63/1.04
% 0.63/1.04 ---------------- PROOF ----------------
% 0.63/1.04 % SZS output start Refutation
% See solution above
% 0.63/1.04 ------------ end of proof -------------
% 0.63/1.04
% 0.63/1.04
% 0.63/1.04 ------------- memory usage ------------
% 0.63/1.04 Memory dynamically allocated (tp_alloc): 488.
% 0.63/1.04 type (bytes each) gets frees in use avail bytes
% 0.63/1.04 sym_ent ( 96) 60 0 60 0 5.6 K
% 0.63/1.04 term ( 16) 12284 9177 3107 14 60.0 K
% 0.63/1.04 gen_ptr ( 8) 14795 3136 11659 29 91.3 K
% 0.63/1.04 context ( 808) 17715 17713 2 4 4.7 K
% 0.63/1.04 trail ( 12) 1070 1070 0 5 0.1 K
% 0.63/1.04 bt_node ( 68) 7913 7911 2 12 0.9 K
% 0.63/1.04 ac_position (285432) 0 0 0 0 0.0 K
% 0.63/1.04 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.63/1.04 ac_match_free_vars_pos (4020)
% 0.63/1.04 0 0 0 0 0.0 K
% 0.63/1.04 discrim ( 12) 2858 645 2213 0 25.9 K
% 0.63/1.04 flat ( 40) 20058 20058 0 21 0.8 K
% 0.63/1.04 discrim_pos ( 12) 549 549 0 1 0.0 K
% 0.63/1.04 fpa_head ( 12) 1438 0 1438 0 16.9 K
% 0.63/1.04 fpa_tree ( 28) 758 758 0 9 0.2 K
% 0.63/1.04 fpa_pos ( 36) 441 441 0 1 0.0 K
% 0.63/1.04 literal ( 12) 859 620 239 1 2.8 K
% 0.63/1.04 clause ( 24) 859 620 239 1 5.6 K
% 0.63/1.04 list ( 12) 261 205 56 4 0.7 K
% 0.63/1.04 list_pos ( 20) 1056 325 731 0 14.3 K
% 0.63/1.04 pair_index ( 40) 2 0 2 0 0.1 K
% 0.63/1.04
% 0.63/1.04 -------------- statistics -------------
% 0.63/1.04 Clauses input 14
% 0.63/1.04 Usable input 0
% 0.63/1.04 Sos input 14
% 0.63/1.04 Demodulators input 0
% 0.63/1.04 Passive input 0
% 0.63/1.04
% 0.63/1.04 Processed BS (before search) 16
% 0.63/1.04 Forward subsumed BS 1
% 0.63/1.04 Kept BS 15
% 0.63/1.04 New demodulators BS 13
% 0.63/1.04 Back demodulated BS 1
% 0.63/1.04
% 0.63/1.04 Clauses or pairs given 1713
% 0.63/1.04 Clauses generated 526
% 0.63/1.04 Forward subsumed 302
% 0.63/1.04 Deleted by weight 0
% 0.63/1.04 Deleted by variable count 0
% 0.63/1.04 Kept 224
% 0.63/1.04 New demodulators 189
% 0.63/1.04 Back demodulated 62
% 0.63/1.04 Ordered paramod prunes 0
% 0.63/1.04 Basic paramod prunes 3861
% 0.63/1.04 Prime paramod prunes 3
% 0.63/1.04 Semantic prunes 0
% 0.63/1.04
% 0.63/1.04 Rewrite attmepts 4851
% 0.63/1.04 Rewrites 480
% 0.63/1.04
% 0.63/1.04 FPA overloads 0
% 0.63/1.04 FPA underloads 0
% 0.63/1.04
% 0.63/1.04 Usable size 0
% 0.63/1.04 Sos size 175
% 0.63/1.04 Demodulators size 143
% 0.63/1.04 Passive size 0
% 0.63/1.04 Disabled size 63
% 0.63/1.04
% 0.63/1.04 Proofs found 1
% 0.63/1.04
% 0.63/1.04 ----------- times (seconds) ----------- Fri Jul 8 08:52:15 2022
% 0.63/1.04
% 0.63/1.04 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.63/1.04 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.63/1.04 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.63/1.04 input time 0.00
% 0.63/1.04 paramodulation time 0.00
% 0.63/1.04 demodulation time 0.00
% 0.63/1.04 orient time 0.00
% 0.63/1.04 weigh time 0.00
% 0.63/1.04 forward subsume time 0.00
% 0.63/1.04 back demod find time 0.00
% 0.63/1.04 conflict time 0.00
% 0.63/1.04 LRPO time 0.00
% 0.63/1.04 store clause time 0.00
% 0.63/1.04 disable clause time 0.00
% 0.63/1.04 prime paramod time 0.00
% 0.63/1.04 semantics time 0.00
% 0.63/1.04
% 0.63/1.04 EQP interrupted
%------------------------------------------------------------------------------