TSTP Solution File: LCL110-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LCL110-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 : Sun Jul 17 09:41:04 EDT 2022
% Result : Unsatisfiable 0.70s 1.13s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(implies(truth,A),A),
file('LCL110-2.p',unknown),
[] ).
cnf(2,plain,
equal(implies(implies(A,B),implies(implies(B,C),implies(A,C))),truth),
file('LCL110-2.p',unknown),
[] ).
cnf(3,plain,
equal(implies(implies(A,B),B),implies(implies(B,A),A)),
file('LCL110-2.p',unknown),
[] ).
cnf(4,plain,
equal(implies(implies(not(A),not(B)),implies(B,A)),truth),
file('LCL110-2.p',unknown),
[] ).
cnf(5,plain,
~ equal(implies(not(not(x)),x),truth),
file('LCL110-2.p',unknown),
[] ).
cnf(6,plain,
equal(implies(implies(A,truth),truth),implies(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),1]),
[iquote('para(1,3),flip(1)')] ).
cnf(7,plain,
equal(implies(A,implies(implies(A,B),B)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),1]),
[iquote('para(1,2),demod([1])')] ).
cnf(8,plain,
equal(implies(implies(A,truth),implies(B,implies(A,B))),truth),
inference(para,[status(thm),theory(equality)],[1,2]),
[iquote('para(1,2)')] ).
cnf(9,plain,
equal(implies(A,A),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),1]),
[iquote('para(1,7),demod([1])')] ).
cnf(10,plain,
equal(implies(implies(A,truth),truth),truth),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),9]),
[iquote('back_demod(6),demod([9])')] ).
cnf(19,plain,
equal(implies(A,truth),truth),
inference(para,[status(thm),theory(equality)],[10,7]),
[iquote('para(10,7)')] ).
cnf(20,plain,
equal(implies(A,implies(B,A)),truth),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),19,1]),
[iquote('back_demod(8),demod([19,1])')] ).
cnf(21,plain,
equal(implies(implies(implies(A,B),B),A),implies(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,3]),20,1]),
[iquote('para(3,3),demod([20,1])')] ).
cnf(22,plain,
equal(implies(implies(not(A),not(truth)),A),truth),
inference(para,[status(thm),theory(equality)],[1,4]),
[iquote('para(1,4)')] ).
cnf(41,plain,
equal(implies(implies(A,implies(not(A),not(truth))),implies(not(A),not(truth))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,3]),1]),1]),
[iquote('para(22,3),demod([1]),flip(1)')] ).
cnf(44,plain,
equal(implies(not(truth),not(not(truth))),not(not(truth))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,21]),1]),1]),
[iquote('para(22,21),demod([1]),flip(1)')] ).
cnf(57,plain,
equal(implies(implies(implies(A,B),C),implies(B,C)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,2]),1]),
[iquote('para(20,2),demod([1])')] ).
cnf(72,plain,
equal(implies(not(truth),A),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,57]),1]),
[iquote('para(22,57),demod([1])')] ).
cnf(73,plain,
equal(not(not(truth)),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[44]),72]),1]),
[iquote('back_demod(44),demod([72]),flip(1)')] ).
cnf(78,plain,
equal(implies(not(A),implies(A,not(truth))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,4]),1]),
[iquote('para(73,4),demod([1])')] ).
cnf(85,plain,
equal(implies(implies(A,not(truth)),not(truth)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[72,3]),1]),1]),
[iquote('para(72,3),demod([1]),flip(1)')] ).
cnf(91,plain,
equal(implies(not(implies(A,not(truth))),A),truth),
inference(para,[status(thm),theory(equality)],[85,78]),
[iquote('para(85,78)')] ).
cnf(157,plain,
equal(implies(A,implies(not(A),not(truth))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[91,4]),1]),
[iquote('para(91,4),demod([1])')] ).
cnf(158,plain,
equal(implies(not(A),not(truth)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),157,1]),
[iquote('back_demod(41),demod([157,1])')] ).
cnf(159,plain,
equal(implies(not(not(A)),A),truth),
inference(para,[status(thm),theory(equality)],[158,78]),
[iquote('para(158,78)')] ).
cnf(160,plain,
$false,
inference(conflict,[status(thm)],[159,5]),
[iquote('conflict(159,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL110-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 19:56:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.13 ----- EQP 0.9e, May 2009 -----
% 0.70/1.13 The job began on n026.cluster.edu, Mon Jul 4 19:56:38 2022
% 0.70/1.13 The command was "./eqp09e".
% 0.70/1.13
% 0.70/1.13 set(prolog_style_variables).
% 0.70/1.13 set(lrpo).
% 0.70/1.13 set(basic_paramod).
% 0.70/1.13 set(functional_subsume).
% 0.70/1.13 set(ordered_paramod).
% 0.70/1.13 set(prime_paramod).
% 0.70/1.13 set(para_pairs).
% 0.70/1.13 assign(pick_given_ratio,4).
% 0.70/1.13 clear(print_kept).
% 0.70/1.13 clear(print_new_demod).
% 0.70/1.13 clear(print_back_demod).
% 0.70/1.13 clear(print_given).
% 0.70/1.13 assign(max_mem,64000).
% 0.70/1.13 end_of_commands.
% 0.70/1.13
% 0.70/1.13 Usable:
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Sos:
% 0.70/1.13 0 (wt=-1) [] implies(truth,A) = A.
% 0.70/1.13 0 (wt=-1) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.70/1.13 0 (wt=-1) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.70/1.13 0 (wt=-1) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.70/1.13 0 (wt=-1) [] -(implies(not(not(x)),x) = truth).
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Demodulators:
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Passive:
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Starting to process input.
% 0.70/1.13
% 0.70/1.13 ** KEPT: 1 (wt=5) [] implies(truth,A) = A.
% 0.70/1.13 1 is a new demodulator.
% 0.70/1.13
% 0.70/1.13 ** KEPT: 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.70/1.13 2 is a new demodulator.
% 0.70/1.13
% 0.70/1.13 ** KEPT: 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.70/1.13 clause forward subsumed: 0 (wt=11) [flip(3)] implies(implies(B,A),A) = implies(implies(A,B),B).
% 0.70/1.13
% 0.70/1.13 ** KEPT: 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.70/1.13 4 is a new demodulator.
% 0.70/1.13
% 0.70/1.13 ** KEPT: 5 (wt=7) [] -(implies(not(not(x)),x) = truth).
% 0.70/1.13 ---------------- PROOF FOUND ----------------
% 0.70/1.13 % SZS status Unsatisfiable
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 After processing input:
% 0.70/1.13
% 0.70/1.13 Usable:
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Sos:
% 0.70/1.13 1 (wt=5) [] implies(truth,A) = A.
% 0.70/1.13 5 (wt=7) [] -(implies(not(not(x)),x) = truth).
% 0.70/1.13 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.70/1.13 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.70/1.13 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Demodulators:
% 0.70/1.13 1 (wt=5) [] implies(truth,A) = A.
% 0.70/1.13 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.70/1.13 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 Passive:
% 0.70/1.13 end_of_list.
% 0.70/1.13
% 0.70/1.13 UNIT CONFLICT from 159 and 5 at 0.01 seconds.
% 0.70/1.13
% 0.70/1.13 ---------------- PROOF ----------------
% 0.70/1.13 % SZS output start Refutation
% See solution above
% 0.70/1.13 ------------ end of proof -------------
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 ------------- memory usage ------------
% 0.70/1.13 Memory dynamically allocated (tp_alloc): 488.
% 0.70/1.13 type (bytes each) gets frees in use avail bytes
% 0.70/1.13 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.70/1.13 term ( 16) 22559 19263 3296 23 64.2 K
% 0.70/1.13 gen_ptr ( 8) 19709 4416 15293 25 119.7 K
% 0.70/1.13 context ( 808) 15522 15520 2 2 3.2 K
% 0.70/1.13 trail ( 12) 1527 1527 0 6 0.1 K
% 0.70/1.13 bt_node ( 68) 6136 6132 4 13 1.1 K
% 0.70/1.13 ac_position (285432) 0 0 0 0 0.0 K
% 0.70/1.13 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.70/1.13 ac_match_free_vars_pos (4020)
% 0.70/1.13 0 0 0 0 0.0 K
% 0.70/1.13 discrim ( 12) 3765 134 3631 33 42.9 K
% 0.70/1.13 flat ( 40) 40912 40912 0 37 1.4 K
% 0.70/1.13 discrim_pos ( 12) 1323 1323 0 1 0.0 K
% 0.70/1.13 fpa_head ( 12) 643 0 643 0 7.5 K
% 0.70/1.13 fpa_tree ( 28) 957 957 0 17 0.5 K
% 0.70/1.13 fpa_pos ( 36) 315 315 0 1 0.0 K
% 0.70/1.13 literal ( 12) 929 770 159 1 1.9 K
% 0.70/1.13 clause ( 24) 929 770 159 1 3.8 K
% 0.70/1.13 list ( 12) 215 159 56 3 0.7 K
% 0.70/1.13 list_pos ( 20) 661 70 591 12 11.8 K
% 0.70/1.13 pair_index ( 40) 2 0 2 0 0.1 K
% 0.70/1.13
% 0.70/1.13 -------------- statistics -------------
% 0.70/1.13 Clauses input 5
% 0.70/1.13 Usable input 0
% 0.70/1.13 Sos input 5
% 0.70/1.13 Demodulators input 0
% 0.70/1.13 Passive input 0
% 0.70/1.13
% 0.70/1.13 Processed BS (before search) 6
% 0.70/1.13 Forward subsumed BS 1
% 0.70/1.13 Kept BS 5
% 0.70/1.13 New demodulators BS 3
% 0.70/1.13 Back demodulated BS 0
% 0.70/1.13
% 0.70/1.13 Clauses or pairs given 392
% 0.70/1.13 Clauses generated 761
% 0.70/1.13 Forward subsumed 607
% 0.70/1.13 Deleted by weight 0
% 0.70/1.13 Deleted by variable count 0
% 0.70/1.13 Kept 154
% 0.70/1.13 New demodulators 153
% 0.70/1.13 Back demodulated 13
% 0.70/1.13 Ordered paramod prunes 0
% 0.70/1.13 Basic paramod prunes 635
% 0.70/1.13 Prime paramod prunes 72
% 0.70/1.13 Semantic prunes 0
% 0.70/1.13
% 0.70/1.13 Rewrite attmepts 8132
% 0.70/1.13 Rewrites 1249
% 0.70/1.13
% 0.70/1.13 FPA overloads 0
% 0.70/1.13 FPA underloads 0
% 0.70/1.13
% 0.70/1.13 Usable size 0
% 0.70/1.13 Sos size 145
% 0.70/1.13 Demodulators size 143
% 0.70/1.13 Passive size 0
% 0.70/1.13 Disabled size 13
% 0.70/1.13
% 0.70/1.13 Proofs found 1
% 0.70/1.13
% 0.70/1.13 ----------- times (seconds) ----------- Mon Jul 4 19:56:38 2022
% 0.70/1.13
% 0.70/1.13 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.70/1.13 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.70/1.13 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.70/1.13 input time 0.00
% 0.70/1.13 paramodulation time 0.00
% 0.70/1.13 demodulation time 0.00
% 0.70/1.13 orient time 0.00
% 0.70/1.13 weigh time 0.00
% 0.70/1.13 forward subsume time 0.00
% 0.70/1.13 back demod find time 0.00
% 0.70/1.13 conflict time 0.00
% 0.70/1.13 LRPO time 0.00
% 0.70/1.13 store clause time 0.00
% 0.70/1.13 disable clause time 0.00
% 0.70/1.13 prime paramod time 0.00
% 0.70/1.13 semantics time 0.00
% 0.70/1.13
% 0.70/1.13 EQP interrupted
%------------------------------------------------------------------------------