TSTP Solution File: BOO005-4 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO005-4 : 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 : Thu Jul 14 23:37:04 EDT 2022
% Result : Unsatisfiable 0.48s 0.88s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,B),add(B,A)),
file('BOO005-4.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),multiply(B,A)),
file('BOO005-4.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(add(A,B),add(A,C)),add(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
file('BOO005-4.p',unknown),
[] ).
cnf(5,plain,
equal(add(multiply(add(A,B),A),multiply(add(A,B),C)),add(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(multiply(A,multiplicative_identity),A),
file('BOO005-4.p',unknown),
[] ).
cnf(8,plain,
equal(add(A,inverse(A)),multiplicative_identity),
file('BOO005-4.p',unknown),
[] ).
cnf(10,plain,
~ equal(add(a,multiplicative_identity),multiplicative_identity),
file('BOO005-4.p',unknown),
[] ).
cnf(21,plain,
equal(multiply(multiplicative_identity,A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,2]),1]),
[iquote('para(7,2),flip(1)')] ).
cnf(34,plain,
equal(add(A,multiply(inverse(A),B)),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),21,8,21]),1]),
[iquote('para(8,5),demod([21,8,21]),flip(1)')] ).
cnf(70,plain,
equal(add(A,multiplicative_identity),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,34]),8]),1]),
[iquote('para(7,34),demod([8]),flip(1)')] ).
cnf(71,plain,
$false,
inference(conflict,[status(thm)],[70,10]),
[iquote('conflict(70,10)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.10 % Command : tptp2X_and_run_eqp %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Wed Jun 1 21:50:30 EDT 2022
% 0.10/0.28 % CPUTime :
% 0.48/0.88 ----- EQP 0.9e, May 2009 -----
% 0.48/0.88 The job began on n032.cluster.edu, Wed Jun 1 21:50:30 2022
% 0.48/0.88 The command was "./eqp09e".
% 0.48/0.88
% 0.48/0.88 set(prolog_style_variables).
% 0.48/0.88 set(lrpo).
% 0.48/0.88 set(basic_paramod).
% 0.48/0.88 set(functional_subsume).
% 0.48/0.88 set(ordered_paramod).
% 0.48/0.88 set(prime_paramod).
% 0.48/0.88 set(para_pairs).
% 0.48/0.88 assign(pick_given_ratio,4).
% 0.48/0.88 clear(print_kept).
% 0.48/0.88 clear(print_new_demod).
% 0.48/0.88 clear(print_back_demod).
% 0.48/0.88 clear(print_given).
% 0.48/0.88 assign(max_mem,64000).
% 0.48/0.88 end_of_commands.
% 0.48/0.88
% 0.48/0.88 Usable:
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Sos:
% 0.48/0.88 0 (wt=-1) [] add(A,B) = add(B,A).
% 0.48/0.88 0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 0.48/0.88 0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 0.48/0.88 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.48/0.88 0 (wt=-1) [] add(A,additive_identity) = A.
% 0.48/0.88 0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 0.48/0.88 0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 0.48/0.88 0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 0.48/0.88 0 (wt=-1) [] -(add(a,multiplicative_identity) = multiplicative_identity).
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Demodulators:
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Passive:
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Starting to process input.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.48/0.88 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.48/0.88
% 0.48/0.88 ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.48/0.88 clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 0.48/0.88
% 0.48/0.88 ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 0.48/0.88 3 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.48/0.88 4 is a new demodulator.
% 0.48/0.88 -> 4 back demodulating 3.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 0.48/0.88 5 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 6 (wt=5) [] add(A,additive_identity) = A.
% 0.48/0.88 6 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.48/0.88 7 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.48/0.88 8 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.48/0.88 9 is a new demodulator.
% 0.48/0.88
% 0.48/0.88 ** KEPT: 10 (wt=5) [] -(add(a,multiplicative_identity) = multiplicative_identity).
% 0.48/0.88 ---------------- PROOF FOUND ----------------
% 0.48/0.88 % SZS status Unsatisfiable
% 0.48/0.88
% 0.48/0.88
% 0.48/0.88 After processing input:
% 0.48/0.88
% 0.48/0.88 Usable:
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Sos:
% 0.48/0.88 6 (wt=5) [] add(A,additive_identity) = A.
% 0.48/0.88 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.48/0.88 10 (wt=5) [] -(add(a,multiplicative_identity) = multiplicative_identity).
% 0.48/0.88 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.48/0.88 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.48/0.88 1 (wt=7) [] add(A,B) = add(B,A).
% 0.48/0.88 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.48/0.88 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.48/0.88 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Demodulators:
% 0.48/0.88 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.48/0.88 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 0.48/0.88 6 (wt=5) [] add(A,additive_identity) = A.
% 0.48/0.88 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 0.48/0.88 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 0.48/0.88 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 Passive:
% 0.48/0.88 end_of_list.
% 0.48/0.88
% 0.48/0.88 UNIT CONFLICT from 70 and 10 at 0.00 seconds.
% 0.48/0.88
% 0.48/0.88 ---------------- PROOF ----------------
% 0.48/0.88 % SZS output start Refutation
% See solution above
% 0.48/0.88 ------------ end of proof -------------
% 0.48/0.88
% 0.48/0.88
% 0.48/0.88 ------------- memory usage ------------
% 0.48/0.88 Memory dynamically allocated (tp_alloc): 488.
% 0.48/0.88 type (bytes each) gets frees in use avail bytes
% 0.48/0.88 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.48/0.88 term ( 16) 3243 2246 997 23 19.6 K
% 0.48/0.88 gen_ptr ( 8) 3862 401 3461 11 27.1 K
% 0.48/0.88 context ( 808) 2393 2391 2 3 3.9 K
% 0.48/0.88 trail ( 12) 101 101 0 4 0.0 K
% 0.48/0.88 bt_node ( 68) 826 823 3 8 0.7 K
% 0.48/0.88 ac_position (285432) 0 0 0 0 0.0 K
% 0.48/0.88 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.48/0.88 ac_match_free_vars_pos (4020)
% 0.48/0.88 0 0 0 0 0.0 K
% 0.48/0.88 discrim ( 12) 852 17 835 0 9.8 K
% 0.48/0.88 flat ( 40) 4530 4530 0 29 1.1 K
% 0.48/0.88 discrim_pos ( 12) 94 94 0 1 0.0 K
% 0.48/0.88 fpa_head ( 12) 416 0 416 0 4.9 K
% 0.48/0.88 fpa_tree ( 28) 93 93 0 7 0.2 K
% 0.48/0.88 fpa_pos ( 36) 107 107 0 1 0.0 K
% 0.48/0.88 literal ( 12) 232 162 70 1 0.8 K
% 0.48/0.88 clause ( 24) 232 162 70 1 1.7 K
% 0.48/0.88 list ( 12) 96 40 56 4 0.7 K
% 0.48/0.88 list_pos ( 20) 255 14 241 0 4.7 K
% 0.48/0.88 pair_index ( 40) 2 0 2 0 0.1 K
% 0.48/0.88
% 0.48/0.88 -------------- statistics -------------
% 0.48/0.88 Clauses input 9
% 0.48/0.88 Usable input 0
% 0.48/0.88 Sos input 9
% 0.48/0.88 Demodulators input 0
% 0.48/0.88 Passive input 0
% 0.48/0.88
% 0.48/0.88 Processed BS (before search) 12
% 0.48/0.88 Forward subsumed BS 2
% 0.48/0.88 Kept BS 10
% 0.48/0.88 New demodulators BS 7
% 0.48/0.88 Back demodulated BS 1
% 0.48/0.88
% 0.48/0.88 Clauses or pairs given 228
% 0.48/0.88 Clauses generated 128
% 0.48/0.88 Forward subsumed 68
% 0.48/0.88 Deleted by weight 0
% 0.48/0.88 Deleted by variable count 0
% 0.48/0.88 Kept 60
% 0.48/0.88 New demodulators 30
% 0.48/0.88 Back demodulated 0
% 0.48/0.88 Ordered paramod prunes 0
% 0.48/0.88 Basic paramod prunes 342
% 0.48/0.88 Prime paramod prunes 7
% 0.48/0.88 Semantic prunes 0
% 0.48/0.88
% 0.48/0.88 Rewrite attmepts 1017
% 0.48/0.88 Rewrites 66
% 0.48/0.88
% 0.48/0.88 FPA overloads 0
% 0.48/0.88 FPA underloads 0
% 0.48/0.88
% 0.48/0.88 Usable size 0
% 0.48/0.88 Sos size 68
% 0.48/0.88 Demodulators size 36
% 0.48/0.88 Passive size 0
% 0.48/0.88 Disabled size 1
% 0.48/0.88
% 0.48/0.88 Proofs found 1
% 0.48/0.88
% 0.48/0.88 ----------- times (seconds) ----------- Wed Jun 1 21:50:30 2022
% 0.48/0.88
% 0.48/0.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.48/0.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.48/0.88 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.48/0.88 input time 0.00
% 0.48/0.88 paramodulation time 0.00
% 0.48/0.88 demodulation time 0.00
% 0.48/0.88 orient time 0.00
% 0.48/0.88 weigh time 0.00
% 0.48/0.88 forward subsume time 0.00
% 0.48/0.88 back demod find time 0.00
% 0.48/0.88 conflict time 0.00
% 0.48/0.88 LRPO time 0.00
% 0.48/0.88 store clause time 0.00
% 0.48/0.88 disable clause time 0.00
% 0.48/0.88 prime paramod time 0.00
% 0.48/0.88 semantics time 0.00
% 0.48/0.88
% 0.48/0.88 EQP interrupted
%------------------------------------------------------------------------------