TSTP Solution File: RNG018-6 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:25:31 EDT 2022
% Result : Unsatisfiable 0.47s 0.90s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 0 equ; 2 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(additive_identity,A),A),
file('RNG018-6.p',unknown),
[] ).
cnf(2,plain,
equal(add(A,additive_identity),A),
file('RNG018-6.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,additive_identity),additive_identity),
file('RNG018-6.p',unknown),
[] ).
cnf(5,plain,
equal(add(additive_inverse(A),A),additive_identity),
file('RNG018-6.p',unknown),
[] ).
cnf(6,plain,
equal(add(A,additive_inverse(A)),additive_identity),
file('RNG018-6.p',unknown),
[] ).
cnf(8,plain,
equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
file('RNG018-6.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
file('RNG018-6.p',unknown),
[] ).
cnf(11,plain,
equal(add(add(A,B),C),add(A,add(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(16,plain,
~ equal(add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))),add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),1]),
[iquote('demod([9]),flip(1)')] ).
cnf(19,plain,
equal(add(multiply(A,B),multiply(A,additive_inverse(B))),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,8]),4]),1]),
[iquote('para(6,8),demod([4]),flip(1)')] ).
cnf(20,plain,
equal(add(additive_inverse(A),add(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,11]),1]),1]),
[iquote('para(5,11),demod([1]),flip(1)')] ).
cnf(100,plain,
equal(additive_inverse(multiply(A,B)),multiply(A,additive_inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,20]),2]),
[iquote('para(19,20),demod([2])')] ).
cnf(129,plain,
~ equal(add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z))),add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),100,100]),
[iquote('back_demod(16),demod([100,100])')] ).
cnf(130,plain,
$false,
inference(conflict,[status(thm)],[129]),
[iquote('xx_conflict(129)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.09 % Command : tptp2X_and_run_eqp %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon May 30 13:22:27 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.47/0.90 ----- EQP 0.9e, May 2009 -----
% 0.47/0.90 The job began on n032.cluster.edu, Mon May 30 13:22:28 2022
% 0.47/0.90 The command was "./eqp09e".
% 0.47/0.90
% 0.47/0.90 set(prolog_style_variables).
% 0.47/0.90 set(lrpo).
% 0.47/0.90 set(basic_paramod).
% 0.47/0.90 set(functional_subsume).
% 0.47/0.90 set(ordered_paramod).
% 0.47/0.90 set(prime_paramod).
% 0.47/0.90 set(para_pairs).
% 0.47/0.90 assign(pick_given_ratio,4).
% 0.47/0.90 clear(print_kept).
% 0.47/0.90 clear(print_new_demod).
% 0.47/0.90 clear(print_back_demod).
% 0.47/0.90 clear(print_given).
% 0.47/0.90 assign(max_mem,64000).
% 0.47/0.90 end_of_commands.
% 0.47/0.90
% 0.47/0.90 Usable:
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Sos:
% 0.47/0.90 0 (wt=-1) [] add(additive_identity,A) = A.
% 0.47/0.90 0 (wt=-1) [] add(A,additive_identity) = A.
% 0.47/0.90 0 (wt=-1) [] multiply(additive_identity,A) = additive_identity.
% 0.47/0.90 0 (wt=-1) [] multiply(A,additive_identity) = additive_identity.
% 0.47/0.90 0 (wt=-1) [] add(additive_inverse(A),A) = additive_identity.
% 0.47/0.90 0 (wt=-1) [] add(A,additive_inverse(A)) = additive_identity.
% 0.47/0.90 0 (wt=-1) [] additive_inverse(additive_inverse(A)) = A.
% 0.47/0.90 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.47/0.90 0 (wt=-1) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.47/0.90 0 (wt=-1) [] add(A,B) = add(B,A).
% 0.47/0.90 0 (wt=-1) [] add(A,add(B,C)) = add(add(A,B),C).
% 0.47/0.90 0 (wt=-1) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.47/0.90 0 (wt=-1) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 0.47/0.90 0 (wt=-1) [] associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))).
% 0.47/0.90 0 (wt=-1) [] commutator(A,B) = add(multiply(B,A),additive_inverse(multiply(A,B))).
% 0.47/0.90 0 (wt=-1) [] -(multiply(add(x,y),additive_inverse(z)) = add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z)))).
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Demodulators:
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Passive:
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Starting to process input.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 1 (wt=5) [] add(additive_identity,A) = A.
% 0.47/0.90 1 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 2 (wt=5) [] add(A,additive_identity) = A.
% 0.47/0.90 2 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 0.47/0.90 3 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 0.47/0.90 4 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 0.47/0.90 5 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 0.47/0.90 6 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 0.47/0.90 7 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.47/0.90 8 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.47/0.90 9 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 10 (wt=7) [] add(A,B) = add(B,A).
% 0.47/0.90 clause forward subsumed: 0 (wt=7) [flip(10)] add(B,A) = add(A,B).
% 0.47/0.90
% 0.47/0.90 ** KEPT: 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/0.90 11 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.47/0.90 12 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 0.47/0.90 13 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 0.47/0.90 14 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 0.47/0.90 15 is a new demodulator.
% 0.47/0.90
% 0.47/0.90 ** KEPT: 16 (wt=19) [demod([9]),flip(1)] -(add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))) = add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z)))).
% 0.47/0.90 ---------------- PROOF FOUND ----------------
% 0.47/0.90 % SZS status Unsatisfiable
% 0.47/0.90
% 0.47/0.90
% 0.47/0.90 After processing input:
% 0.47/0.90
% 0.47/0.90 Usable:
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Sos:
% 0.47/0.90 1 (wt=5) [] add(additive_identity,A) = A.
% 0.47/0.90 2 (wt=5) [] add(A,additive_identity) = A.
% 0.47/0.90 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 0.47/0.90 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 0.47/0.90 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 0.47/0.90 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 0.47/0.90 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 0.47/0.90 10 (wt=7) [] add(A,B) = add(B,A).
% 0.47/0.90 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/0.90 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.47/0.90 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 0.47/0.90 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 0.47/0.90 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.47/0.90 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.47/0.90 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 0.47/0.90 16 (wt=19) [demod([9]),flip(1)] -(add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))) = add(multiply(x,additive_inverse(z)),multiply(y,additive_inverse(z)))).
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Demodulators:
% 0.47/0.90 1 (wt=5) [] add(additive_identity,A) = A.
% 0.47/0.90 2 (wt=5) [] add(A,additive_identity) = A.
% 0.47/0.90 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 0.47/0.90 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 0.47/0.90 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 0.47/0.90 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 0.47/0.90 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 0.47/0.90 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.47/0.90 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.47/0.90 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/0.90 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.47/0.90 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 0.47/0.90 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 0.47/0.90 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 Passive:
% 0.47/0.90 end_of_list.
% 0.47/0.90
% 0.47/0.90 UNIT CONFLICT from 129 and x=x at 0.01 seconds.
% 0.47/0.90
% 0.47/0.90 ---------------- PROOF ----------------
% 0.47/0.90 % SZS output start Refutation
% See solution above
% 0.47/0.90 ------------ end of proof -------------
% 0.47/0.90
% 0.47/0.90
% 0.47/0.90 ------------- memory usage ------------
% 0.47/0.90 Memory dynamically allocated (tp_alloc): 488.
% 0.47/0.90 type (bytes each) gets frees in use avail bytes
% 0.47/0.90 sym_ent ( 96) 60 0 60 0 5.6 K
% 0.47/0.90 term ( 16) 8749 6660 2089 20 40.7 K
% 0.47/0.90 gen_ptr ( 8) 10535 2551 7984 15 62.5 K
% 0.47/0.90 context ( 808) 6970 6968 2 5 5.5 K
% 0.47/0.90 trail ( 12) 579 579 0 4 0.0 K
% 0.47/0.90 bt_node ( 68) 2550 2547 3 9 0.8 K
% 0.47/0.90 ac_position (285432) 0 0 0 0 0.0 K
% 0.47/0.90 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.47/0.90 ac_match_free_vars_pos (4020)
% 0.47/0.90 0 0 0 0 0.0 K
% 0.47/0.90 discrim ( 12) 2045 773 1272 82 15.9 K
% 0.47/0.90 flat ( 40) 11501 11501 0 31 1.2 K
% 0.47/0.90 discrim_pos ( 12) 477 477 0 1 0.0 K
% 0.47/0.90 fpa_head ( 12) 844 0 844 0 9.9 K
% 0.47/0.90 fpa_tree ( 28) 360 360 0 25 0.7 K
% 0.47/0.90 fpa_pos ( 36) 237 237 0 1 0.0 K
% 0.47/0.90 literal ( 12) 471 342 129 0 1.5 K
% 0.47/0.90 clause ( 24) 471 342 129 0 3.0 K
% 0.47/0.90 list ( 12) 168 111 57 2 0.7 K
% 0.47/0.90 list_pos ( 20) 595 219 376 6 7.5 K
% 0.47/0.90 pair_index ( 40) 2 0 2 0 0.1 K
% 0.47/0.90
% 0.47/0.90 -------------- statistics -------------
% 0.47/0.90 Clauses input 16
% 0.47/0.90 Usable input 0
% 0.47/0.90 Sos input 16
% 0.47/0.90 Demodulators input 0
% 0.47/0.90 Passive input 0
% 0.47/0.90
% 0.47/0.90 Processed BS (before search) 17
% 0.47/0.90 Forward subsumed BS 1
% 0.47/0.90 Kept BS 16
% 0.47/0.90 New demodulators BS 14
% 0.47/0.90 Back demodulated BS 0
% 0.47/0.90
% 0.47/0.90 Clauses or pairs given 620
% 0.47/0.90 Clauses generated 301
% 0.47/0.90 Forward subsumed 188
% 0.47/0.90 Deleted by weight 0
% 0.47/0.90 Deleted by variable count 0
% 0.47/0.90 Kept 113
% 0.47/0.90 New demodulators 95
% 0.47/0.90 Back demodulated 42
% 0.47/0.90 Ordered paramod prunes 0
% 0.47/0.90 Basic paramod prunes 701
% 0.47/0.90 Prime paramod prunes 22
% 0.47/0.90 Semantic prunes 0
% 0.47/0.90
% 0.47/0.90 Rewrite attmepts 2756
% 0.47/0.90 Rewrites 434
% 0.47/0.90
% 0.47/0.90 FPA overloads 0
% 0.47/0.90 FPA underloads 0
% 0.47/0.90
% 0.47/0.90 Usable size 0
% 0.47/0.90 Sos size 86
% 0.47/0.90 Demodulators size 74
% 0.47/0.90 Passive size 0
% 0.47/0.90 Disabled size 42
% 0.47/0.90
% 0.47/0.90 Proofs found 1
% 0.47/0.90
% 0.47/0.90 ----------- times (seconds) ----------- Mon May 30 13:22:28 2022
% 0.47/0.90
% 0.47/0.90 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.47/0.90 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.47/0.90 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.47/0.90 input time 0.00
% 0.47/0.90 paramodulation time 0.00
% 0.47/0.90 demodulation time 0.00
% 0.47/0.90 orient time 0.00
% 0.47/0.90 weigh time 0.00
% 0.47/0.90 forward subsume time 0.00
% 0.47/0.90 back demod find time 0.00
% 0.47/0.90 conflict time 0.00
% 0.47/0.90 LRPO time 0.00
% 0.47/0.90 store clause time 0.00
% 0.47/0.90 disable clause time 0.00
% 0.47/0.90 prime paramod time 0.00
% 0.47/0.90 semantics time 0.00
% 0.47/0.90
% 0.47/0.90 EQP interrupted
%------------------------------------------------------------------------------