TSTP Solution File: COL002-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL002-1 : 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 : Fri Jul 15 00:23:07 EDT 2022
% Result : Unsatisfiable 0.52s 0.94s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 2 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL002-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL002-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(apply(c,A),B),C),apply(apply(A,C),B)),
file('COL002-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(apply(A,B),C),apply(apply(apply(c,A),C),B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
equal(apply(i,A),A),
file('COL002-1.p',unknown),
[] ).
cnf(7,plain,
~ equal(apply(fixed_pt,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(apply(A,B),apply(apply(apply(c,i),B),A)),
inference(para,[status(thm),theory(equality)],[6,5]),
[iquote('para(6,5)')] ).
cnf(67,plain,
equal(apply(apply(apply(c,apply(b,A)),B),C),apply(A,apply(C,B))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(68,plain,
equal(apply(A,apply(B,C)),apply(apply(apply(c,apply(b,A)),C),B)),
inference(flip,[status(thm),theory(equality)],[67]),
[iquote('flip(67)')] ).
cnf(83,plain,
equal(apply(apply(apply(c,i),A),apply(apply(s,B),C)),apply(apply(B,A),apply(C,A))),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(84,plain,
equal(apply(apply(A,B),apply(C,B)),apply(apply(apply(c,i),B),apply(apply(s,A),C))),
inference(flip,[status(thm),theory(equality)],[83]),
[iquote('flip(83)')] ).
cnf(105,plain,
~ equal(apply(apply(apply(c,apply(b,fixed_pt)),A),B),apply(B,A)),
inference(para,[status(thm),theory(equality)],[68,7]),
[iquote('para(68,7)')] ).
cnf(106,plain,
$false,
inference(conflict,[status(thm)],[105,84]),
[iquote('conflict(105,84)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11 % Command : tptp2X_and_run_eqp %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue May 31 13:30:43 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.52/0.94 ----- EQP 0.9e, May 2009 -----
% 0.52/0.94 The job began on n032.cluster.edu, Tue May 31 13:30:44 2022
% 0.52/0.94 The command was "./eqp09e".
% 0.52/0.94
% 0.52/0.94 set(prolog_style_variables).
% 0.52/0.94 set(lrpo).
% 0.52/0.94 set(basic_paramod).
% 0.52/0.94 set(functional_subsume).
% 0.52/0.94 set(ordered_paramod).
% 0.52/0.94 set(prime_paramod).
% 0.52/0.94 set(para_pairs).
% 0.52/0.94 assign(pick_given_ratio,4).
% 0.52/0.94 clear(print_kept).
% 0.52/0.94 clear(print_new_demod).
% 0.52/0.94 clear(print_back_demod).
% 0.52/0.94 clear(print_given).
% 0.52/0.94 assign(max_mem,64000).
% 0.52/0.94 end_of_commands.
% 0.52/0.94
% 0.52/0.94 Usable:
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Sos:
% 0.52/0.94 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.52/0.94 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.52/0.94 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.52/0.94 0 (wt=-1) [] apply(i,A) = A.
% 0.52/0.94 0 (wt=-1) [] -(A = apply(fixed_pt,A)).
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Demodulators:
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Passive:
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Starting to process input.
% 0.52/0.94
% 0.52/0.94 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.52/0.94
% 0.52/0.94 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.52/0.94 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.52/0.94
% 0.52/0.94 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.52/0.94 3 is a new demodulator.
% 0.52/0.94
% 0.52/0.94 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.52/0.94
% 0.52/0.94 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.52/0.94 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 0.52/0.94
% 0.52/0.94 ** KEPT: 6 (wt=5) [] apply(i,A) = A.
% 0.52/0.94 6 is a new demodulator.
% 0.52/0.94
% 0.52/0.94 ** KEPT: 7 (wt=5) [flip(1)] -(apply(fixed_pt,A) = A).
% 0.52/0.94 ---------------- PROOF FOUND ----------------
% 0.52/0.94 % SZS status Unsatisfiable
% 0.52/0.94
% 0.52/0.94
% 0.52/0.94 After processing input:
% 0.52/0.94
% 0.52/0.94 Usable:
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Sos:
% 0.52/0.94 6 (wt=5) [] apply(i,A) = A.
% 0.52/0.94 7 (wt=5) [flip(1)] -(apply(fixed_pt,A) = A).
% 0.52/0.94 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.52/0.94 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.52/0.94 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.52/0.94 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.52/0.94 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Demodulators:
% 0.52/0.94 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.52/0.94 6 (wt=5) [] apply(i,A) = A.
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 Passive:
% 0.52/0.94 end_of_list.
% 0.52/0.94
% 0.52/0.94 UNIT CONFLICT from 105 and 84 at 0.00 seconds.
% 0.52/0.94
% 0.52/0.94 ---------------- PROOF ----------------
% 0.52/0.94 % SZS output start Refutation
% See solution above
% 0.52/0.94 ------------ end of proof -------------
% 0.52/0.94
% 0.52/0.94
% 0.52/0.94 ------------- memory usage ------------
% 0.52/0.94 Memory dynamically allocated (tp_alloc): 488.
% 0.52/0.94 type (bytes each) gets frees in use avail bytes
% 0.52/0.94 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.52/0.94 term ( 16) 3957 2164 1793 20 35.0 K
% 0.52/0.94 gen_ptr ( 8) 6822 210 6612 12 51.8 K
% 0.52/0.94 context ( 808) 2875 2873 2 2 3.2 K
% 0.52/0.94 trail ( 12) 171 171 0 5 0.1 K
% 0.52/0.94 bt_node ( 68) 913 910 3 4 0.5 K
% 0.52/0.94 ac_position (285432) 0 0 0 0 0.0 K
% 0.52/0.94 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.52/0.94 ac_match_free_vars_pos (4020)
% 0.52/0.94 0 0 0 0 0.0 K
% 0.52/0.94 discrim ( 12) 1131 0 1131 0 13.3 K
% 0.52/0.94 flat ( 40) 8424 8424 0 25 1.0 K
% 0.52/0.94 discrim_pos ( 12) 52 52 0 1 0.0 K
% 0.52/0.94 fpa_head ( 12) 265 0 265 0 3.1 K
% 0.52/0.94 fpa_tree ( 28) 433 433 0 27 0.7 K
% 0.52/0.94 fpa_pos ( 36) 119 119 0 1 0.0 K
% 0.52/0.94 literal ( 12) 318 213 105 1 1.2 K
% 0.52/0.94 clause ( 24) 318 213 105 1 2.5 K
% 0.52/0.94 list ( 12) 73 17 56 3 0.7 K
% 0.52/0.94 list_pos ( 20) 331 5 326 0 6.4 K
% 0.52/0.94 pair_index ( 40) 2 0 2 0 0.1 K
% 0.52/0.94
% 0.52/0.94 -------------- statistics -------------
% 0.52/0.94 Clauses input 5
% 0.52/0.94 Usable input 0
% 0.52/0.94 Sos input 5
% 0.52/0.94 Demodulators input 0
% 0.52/0.94 Passive input 0
% 0.52/0.94
% 0.52/0.94 Processed BS (before search) 9
% 0.52/0.94 Forward subsumed BS 2
% 0.52/0.94 Kept BS 7
% 0.52/0.94 New demodulators BS 2
% 0.52/0.94 Back demodulated BS 0
% 0.52/0.94
% 0.52/0.94 Clauses or pairs given 97
% 0.52/0.94 Clauses generated 153
% 0.52/0.94 Forward subsumed 55
% 0.52/0.94 Deleted by weight 0
% 0.52/0.94 Deleted by variable count 0
% 0.52/0.94 Kept 98
% 0.52/0.94 New demodulators 12
% 0.52/0.94 Back demodulated 0
% 0.52/0.94 Ordered paramod prunes 0
% 0.52/0.94 Basic paramod prunes 97
% 0.52/0.94 Prime paramod prunes 0
% 0.52/0.94 Semantic prunes 0
% 0.52/0.94
% 0.52/0.94 Rewrite attmepts 1676
% 0.52/0.94 Rewrites 5
% 0.52/0.94
% 0.52/0.94 FPA overloads 0
% 0.52/0.94 FPA underloads 0
% 0.52/0.94
% 0.52/0.94 Usable size 0
% 0.52/0.94 Sos size 104
% 0.52/0.94 Demodulators size 14
% 0.52/0.94 Passive size 0
% 0.52/0.94 Disabled size 0
% 0.52/0.94
% 0.52/0.94 Proofs found 1
% 0.52/0.94
% 0.52/0.94 ----------- times (seconds) ----------- Tue May 31 13:30:44 2022
% 0.52/0.94
% 0.52/0.94 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.52/0.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.52/0.94 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.52/0.94 input time 0.00
% 0.52/0.94 paramodulation time 0.00
% 0.52/0.94 demodulation time 0.00
% 0.52/0.94 orient time 0.00
% 0.52/0.94 weigh time 0.00
% 0.52/0.94 forward subsume time 0.00
% 0.52/0.94 back demod find time 0.00
% 0.52/0.94 conflict time 0.00
% 0.52/0.94 LRPO time 0.00
% 0.52/0.94 store clause time 0.00
% 0.52/0.94 disable clause time 0.00
% 0.52/0.94 prime paramod time 0.00
% 0.52/0.94 semantics time 0.00
% 0.52/0.94
% 0.52/0.94 EQP interrupted
%------------------------------------------------------------------------------