TSTP Solution File: LCL111-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.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 09:41:05 EDT 2022
% Result : Unsatisfiable 0.73s 1.14s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(implies(truth,A),A),
file('LCL111-2.p',unknown),
[] ).
cnf(2,plain,
equal(implies(implies(A,B),implies(implies(B,C),implies(A,C))),truth),
file('LCL111-2.p',unknown),
[] ).
cnf(5,plain,
~ equal(implies(implies(x,y),implies(implies(z,x),implies(z,y))),truth),
file('LCL111-2.p',unknown),
[] ).
cnf(8,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(12,plain,
equal(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,2]),1]),
[iquote('para(2,2),demod([1])')] ).
cnf(33,plain,
equal(implies(implies(implies(implies(A,B),B),C),implies(A,C)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,2]),1]),
[iquote('para(8,2),demod([1])')] ).
cnf(331,plain,
equal(implies(implies(A,B),implies(implies(C,A),implies(C,B))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,33]),1]),
[iquote('para(12,33),demod([1])')] ).
cnf(332,plain,
$false,
inference(conflict,[status(thm)],[331,5]),
[iquote('conflict(331,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL111-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 12:10:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.14 ----- EQP 0.9e, May 2009 -----
% 0.73/1.14 The job began on n018.cluster.edu, Mon Jul 4 12:10:51 2022
% 0.73/1.14 The command was "./eqp09e".
% 0.73/1.14
% 0.73/1.14 set(prolog_style_variables).
% 0.73/1.14 set(lrpo).
% 0.73/1.14 set(basic_paramod).
% 0.73/1.14 set(functional_subsume).
% 0.73/1.14 set(ordered_paramod).
% 0.73/1.14 set(prime_paramod).
% 0.73/1.14 set(para_pairs).
% 0.73/1.14 assign(pick_given_ratio,4).
% 0.73/1.14 clear(print_kept).
% 0.73/1.14 clear(print_new_demod).
% 0.73/1.14 clear(print_back_demod).
% 0.73/1.14 clear(print_given).
% 0.73/1.14 assign(max_mem,64000).
% 0.73/1.14 end_of_commands.
% 0.73/1.14
% 0.73/1.14 Usable:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Sos:
% 0.73/1.14 0 (wt=-1) [] implies(truth,A) = A.
% 0.73/1.14 0 (wt=-1) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.73/1.14 0 (wt=-1) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.73/1.14 0 (wt=-1) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.73/1.14 0 (wt=-1) [] -(implies(implies(x,y),implies(implies(z,x),implies(z,y))) = truth).
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Demodulators:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Passive:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Starting to process input.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 1 (wt=5) [] implies(truth,A) = A.
% 0.73/1.14 1 is a new demodulator.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.73/1.14 2 is a new demodulator.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.73/1.14 clause forward subsumed: 0 (wt=11) [flip(3)] implies(implies(B,A),A) = implies(implies(A,B),B).
% 0.73/1.14
% 0.73/1.14 ** KEPT: 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.73/1.14 4 is a new demodulator.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 5 (wt=13) [] -(implies(implies(x,y),implies(implies(z,x),implies(z,y))) = truth).
% 0.73/1.14 ---------------- PROOF FOUND ----------------
% 0.73/1.14 % SZS status Unsatisfiable
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 After processing input:
% 0.73/1.14
% 0.73/1.14 Usable:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Sos:
% 0.73/1.14 1 (wt=5) [] implies(truth,A) = A.
% 0.73/1.14 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.73/1.14 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.73/1.14 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.73/1.14 5 (wt=13) [] -(implies(implies(x,y),implies(implies(z,x),implies(z,y))) = truth).
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Demodulators:
% 0.73/1.14 1 (wt=5) [] implies(truth,A) = A.
% 0.73/1.14 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.73/1.14 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Passive:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 UNIT CONFLICT from 331 and 5 at 0.03 seconds.
% 0.73/1.14
% 0.73/1.14 ---------------- PROOF ----------------
% 0.73/1.14 % SZS output start Refutation
% See solution above
% 0.73/1.14 ------------ end of proof -------------
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 ------------- memory usage ------------
% 0.73/1.14 Memory dynamically allocated (tp_alloc): 976.
% 0.73/1.14 type (bytes each) gets frees in use avail bytes
% 0.73/1.14 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.73/1.14 term ( 16) 42166 35730 6436 29 125.0 K
% 0.73/1.14 gen_ptr ( 8) 39036 9620 29416 48 230.2 K
% 0.73/1.14 context ( 808) 31455 31453 2 2 3.2 K
% 0.73/1.14 trail ( 12) 3891 3891 0 6 0.1 K
% 0.73/1.14 bt_node ( 68) 12576 12569 7 10 1.1 K
% 0.73/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.14 ac_match_free_vars_pos (4020)
% 0.73/1.14 0 0 0 0 0.0 K
% 0.73/1.14 discrim ( 12) 6783 984 5799 460 73.3 K
% 0.73/1.14 flat ( 40) 78492 78492 0 37 1.4 K
% 0.73/1.14 discrim_pos ( 12) 2536 2536 0 1 0.0 K
% 0.73/1.14 fpa_head ( 12) 1174 0 1174 0 13.8 K
% 0.73/1.14 fpa_tree ( 28) 1902 1902 0 21 0.6 K
% 0.73/1.14 fpa_pos ( 36) 645 645 0 1 0.0 K
% 0.73/1.14 literal ( 12) 1887 1556 331 1 3.9 K
% 0.73/1.14 clause ( 24) 1887 1556 331 1 7.8 K
% 0.73/1.14 list ( 12) 373 317 56 3 0.7 K
% 0.73/1.14 list_pos ( 20) 1407 250 1157 40 23.4 K
% 0.73/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.14
% 0.73/1.14 -------------- statistics -------------
% 0.73/1.14 Clauses input 5
% 0.73/1.14 Usable input 0
% 0.73/1.14 Sos input 5
% 0.73/1.14 Demodulators input 0
% 0.73/1.14 Passive input 0
% 0.73/1.14
% 0.73/1.14 Processed BS (before search) 6
% 0.73/1.14 Forward subsumed BS 1
% 0.73/1.14 Kept BS 5
% 0.73/1.14 New demodulators BS 3
% 0.73/1.14 Back demodulated BS 0
% 0.73/1.14
% 0.73/1.14 Clauses or pairs given 930
% 0.73/1.14 Clauses generated 1519
% 0.73/1.14 Forward subsumed 1193
% 0.73/1.14 Deleted by weight 0
% 0.73/1.14 Deleted by variable count 0
% 0.73/1.14 Kept 326
% 0.73/1.14 New demodulators 311
% 0.73/1.14 Back demodulated 49
% 0.73/1.14 Ordered paramod prunes 0
% 0.73/1.14 Basic paramod prunes 1383
% 0.73/1.14 Prime paramod prunes 157
% 0.73/1.14 Semantic prunes 0
% 0.73/1.14
% 0.73/1.14 Rewrite attmepts 15887
% 0.73/1.14 Rewrites 2349
% 0.73/1.14
% 0.73/1.14 FPA overloads 0
% 0.73/1.14 FPA underloads 0
% 0.73/1.14
% 0.73/1.14 Usable size 0
% 0.73/1.14 Sos size 281
% 0.73/1.14 Demodulators size 265
% 0.73/1.14 Passive size 0
% 0.73/1.14 Disabled size 49
% 0.73/1.14
% 0.73/1.14 Proofs found 1
% 0.73/1.14
% 0.73/1.14 ----------- times (seconds) ----------- Mon Jul 4 12:10:51 2022
% 0.73/1.14
% 0.73/1.14 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.73/1.14 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.73/1.14 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.14 input time 0.00
% 0.73/1.14 paramodulation time 0.01
% 0.73/1.14 demodulation time 0.00
% 0.73/1.14 orient time 0.01
% 0.73/1.14 weigh time 0.00
% 0.73/1.14 forward subsume time 0.00
% 0.73/1.14 back demod find time 0.00
% 0.73/1.14 conflict time 0.00
% 0.73/1.14 LRPO time 0.00
% 0.73/1.14 store clause time 0.00
% 0.73/1.14 disable clause time 0.00
% 0.73/1.14 prime paramod time 0.00
% 0.73/1.14 semantics time 0.00
% 0.73/1.14
% 0.73/1.14 EQP interrupted
%------------------------------------------------------------------------------