TSTP Solution File: ROB002-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 20:51:35 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 0 equ; 3 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,B),add(B,A)),
file('ROB002-1.p',unknown),
[] ).
cnf(3,plain,
equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A),
file('ROB002-1.p',unknown),
[] ).
cnf(4,plain,
equal(negate(negate(A)),A),
file('ROB002-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),b),
file('ROB002-1.p',unknown),
[] ).
cnf(9,plain,
equal(add(negate(add(A,B)),negate(add(A,negate(B)))),negate(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4]),1]),
[iquote('para(3,4),flip(1)')] ).
cnf(11,plain,
~ equal(add(negate(add(negate(b),a)),negate(add(negate(a),negate(b)))),b),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(14,plain,
~ equal(b,b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,11]),9,4]),
[iquote('para(1,11),demod([9,4])')] ).
cnf(15,plain,
$false,
inference(conflict,[status(thm)],[14]),
[iquote('xx_conflict(14)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 16:12:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.09 ----- EQP 0.9e, May 2009 -----
% 0.72/1.09 The job began on n029.cluster.edu, Thu Jun 9 16:12:37 2022
% 0.72/1.09 The command was "./eqp09e".
% 0.72/1.09
% 0.72/1.09 set(prolog_style_variables).
% 0.72/1.09 set(lrpo).
% 0.72/1.09 set(basic_paramod).
% 0.72/1.09 set(functional_subsume).
% 0.72/1.09 set(ordered_paramod).
% 0.72/1.09 set(prime_paramod).
% 0.72/1.09 set(para_pairs).
% 0.72/1.09 assign(pick_given_ratio,4).
% 0.72/1.09 clear(print_kept).
% 0.72/1.09 clear(print_new_demod).
% 0.72/1.09 clear(print_back_demod).
% 0.72/1.09 clear(print_given).
% 0.72/1.09 assign(max_mem,64000).
% 0.72/1.09 end_of_commands.
% 0.72/1.09
% 0.72/1.09 Usable:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Sos:
% 0.72/1.09 0 (wt=-1) [] add(A,B) = add(B,A).
% 0.72/1.09 0 (wt=-1) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.72/1.09 0 (wt=-1) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.72/1.09 0 (wt=-1) [] negate(negate(A)) = A.
% 0.72/1.09 0 (wt=-1) [] -(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b).
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Demodulators:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Passive:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Starting to process input.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.72/1.09 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.72/1.09
% 0.72/1.09 ** KEPT: 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.72/1.09 2 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.72/1.09 3 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 4 (wt=5) [] negate(negate(A)) = A.
% 0.72/1.09 4 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 5 (wt=14) [] -(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b).
% 0.72/1.09 ---------------- PROOF FOUND ----------------
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 After processing input:
% 0.72/1.09
% 0.72/1.09 Usable:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Sos:
% 0.72/1.09 4 (wt=5) [] negate(negate(A)) = A.
% 0.72/1.09 1 (wt=7) [] add(A,B) = add(B,A).
% 0.72/1.09 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.72/1.09 3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.72/1.09 5 (wt=14) [] -(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b).
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Demodulators:
% 0.72/1.09 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.72/1.09 3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.72/1.09 4 (wt=5) [] negate(negate(A)) = A.
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Passive:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 UNIT CONFLICT from 14 and x=x at 0.00 seconds.
% 0.72/1.09
% 0.72/1.09 ---------------- PROOF ----------------
% 0.72/1.09 % SZS output start Refutation
% See solution above
% 0.72/1.09 ------------ end of proof -------------
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 ------------- memory usage ------------
% 0.72/1.09 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.09 type (bytes each) gets frees in use avail bytes
% 0.72/1.09 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.72/1.09 term ( 16) 1059 902 157 16 3.3 K
% 0.72/1.09 gen_ptr ( 8) 756 198 558 9 4.4 K
% 0.72/1.09 context ( 808) 552 550 2 3 3.9 K
% 0.72/1.09 trail ( 12) 22 22 0 3 0.0 K
% 0.72/1.09 bt_node ( 68) 170 167 3 2 0.3 K
% 0.72/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.09 ac_match_free_vars_pos (4020)
% 0.72/1.09 0 0 0 0 0.0 K
% 0.72/1.09 discrim ( 12) 149 42 107 21 1.5 K
% 0.72/1.09 flat ( 40) 908 908 0 14 0.5 K
% 0.72/1.09 discrim_pos ( 12) 25 25 0 1 0.0 K
% 0.72/1.09 fpa_head ( 12) 134 0 134 0 1.6 K
% 0.72/1.09 fpa_tree ( 28) 51 51 0 13 0.4 K
% 0.72/1.09 fpa_pos ( 36) 19 19 0 1 0.0 K
% 0.72/1.09 literal ( 12) 51 37 14 0 0.2 K
% 0.72/1.09 clause ( 24) 51 37 14 0 0.3 K
% 0.72/1.09 list ( 12) 65 9 56 3 0.7 K
% 0.72/1.09 list_pos ( 20) 54 15 39 4 0.8 K
% 0.72/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.09
% 0.72/1.09 -------------- statistics -------------
% 0.72/1.09 Clauses input 5
% 0.72/1.09 Usable input 0
% 0.72/1.09 Sos input 5
% 0.72/1.09 Demodulators input 0
% 0.72/1.09 Passive input 0
% 0.72/1.09
% 0.72/1.09 Processed BS (before search) 6
% 0.72/1.09 Forward subsumed BS 1
% 0.72/1.09 Kept BS 5
% 0.72/1.09 New demodulators BS 3
% 0.72/1.09 Back demodulated BS 0
% 0.72/1.09
% 0.72/1.09 Clauses or pairs given 24
% 0.72/1.09 Clauses generated 27
% 0.72/1.09 Forward subsumed 18
% 0.72/1.09 Deleted by weight 0
% 0.72/1.09 Deleted by variable count 0
% 0.72/1.09 Kept 9
% 0.72/1.09 New demodulators 3
% 0.72/1.09 Back demodulated 2
% 0.72/1.09 Ordered paramod prunes 0
% 0.72/1.09 Basic paramod prunes 37
% 0.72/1.09 Prime paramod prunes 0
% 0.72/1.09 Semantic prunes 0
% 0.72/1.09
% 0.72/1.09 Rewrite attmepts 243
% 0.72/1.09 Rewrites 17
% 0.72/1.09
% 0.72/1.09 FPA overloads 0
% 0.72/1.09 FPA underloads 0
% 0.72/1.09
% 0.72/1.09 Usable size 0
% 0.72/1.09 Sos size 11
% 0.72/1.09 Demodulators size 4
% 0.72/1.09 Passive size 0
% 0.72/1.09 Disabled size 2
% 0.72/1.09
% 0.72/1.09 Proofs found 1
% 0.72/1.09
% 0.72/1.09 ----------- times (seconds) ----------- Thu Jun 9 16:12:37 2022
% 0.72/1.09
% 0.72/1.09 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.72/1.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.72/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.09 input time 0.00
% 0.72/1.09 paramodulation time 0.00
% 0.72/1.09 demodulation time 0.00
% 0.72/1.09 orient time 0.00
% 0.72/1.09 weigh time 0.00
% 0.72/1.09 forward subsume time 0.00
% 0.72/1.09 back demod find time 0.00
% 0.72/1.09 conflict time 0.00
% 0.72/1.09 LRPO time 0.00
% 0.72/1.09 store clause time 0.00
% 0.72/1.09 disable clause time 0.00
% 0.72/1.09 prime paramod time 0.00
% 0.72/1.09 semantics time 0.00
% 0.72/1.09
% 0.72/1.09 EQP interrupted
%------------------------------------------------------------------------------