%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 16:43:19 EDT 2022
% Result : Unsatisfiable 0.76s 1.14s
% Output : Refutation 0.76s
% Verified :
% SZS Type : ERROR: Analysing output (Cycle in a tree)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(f(f(A,B),f(A,C)),f(A,f(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(2,plain,
equal(f(t,t),tt),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(f(t,s),ts),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(f(tt,ts),tt_ts),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(f(t,k),tk),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(6,plain,
equal(f(ts,k),tsk),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(7,plain,
~ equal(f(tt_ts,tk),f(t,tsk)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
equal(f(tt,f(t,A)),f(t,f(t,A))),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(17,plain,
equal(f(f(t,A),tk),f(t,f(A,k))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(21,plain,
equal(f(t,ts),tt_ts),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,10]),4,3]),1]),
[iquote('para(3,10),demod([4,3]),flip(1)')] ).
cnf(75,plain,
equal(f(tt_ts,tk),f(t,tsk)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,17]),6]),
[iquote('para(21,17),demod([6])')] ).
cnf(76,plain,
$false,
inference(conflict,[status(thm)],[75,7]),
[iquote('conflict(75,7)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 03:54:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.76/1.14 ----- EQP 0.9e, May 2009 -----
% 0.76/1.14 The job began on n023.cluster.edu, Mon May 30 03:54:28 2022
% 0.76/1.14 The command was "./eqp09e".
% 0.76/1.14
% 0.76/1.14 set(prolog_style_variables).
% 0.76/1.14 set(lrpo).
% 0.76/1.14 set(basic_paramod).
% 0.76/1.14 set(functional_subsume).
% 0.76/1.14 set(ordered_paramod).
% 0.76/1.14 set(prime_paramod).
% 0.76/1.14 set(para_pairs).
% 0.76/1.14 assign(pick_given_ratio,4).
% 0.76/1.14 clear(print_kept).
% 0.76/1.14 clear(print_new_demod).
% 0.76/1.14 clear(print_back_demod).
% 0.76/1.14 clear(print_given).
% 0.76/1.14 assign(max_mem,64000).
% 0.76/1.14 end_of_commands.
% 0.76/1.14
% 0.76/1.14 Usable:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Sos:
% 0.76/1.14 0 (wt=-1) [] f(A,f(B,C)) = f(f(A,B),f(A,C)).
% 0.76/1.14 0 (wt=-1) [] tt = f(t,t).
% 0.76/1.14 0 (wt=-1) [] ts = f(t,s).
% 0.76/1.14 0 (wt=-1) [] tt_ts = f(tt,ts).
% 0.76/1.14 0 (wt=-1) [] tk = f(t,k).
% 0.76/1.14 0 (wt=-1) [] tsk = f(ts,k).
% 0.76/1.14 0 (wt=-1) [] -(f(t,tsk) = f(tt_ts,tk)).
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Demodulators:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Passive:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Starting to process input.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 1 (wt=13) [flip(1)] f(f(A,B),f(A,C)) = f(A,f(B,C)).
% 0.76/1.14 1 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 2 (wt=5) [flip(1)] f(t,t) = tt.
% 0.76/1.14 2 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 3 (wt=5) [flip(1)] f(t,s) = ts.
% 0.76/1.14 3 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 4 (wt=5) [flip(1)] f(tt,ts) = tt_ts.
% 0.76/1.14 4 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 5 (wt=5) [flip(1)] f(t,k) = tk.
% 0.76/1.14 5 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 6 (wt=5) [flip(1)] f(ts,k) = tsk.
% 0.76/1.14 6 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 7 (wt=7) [flip(1)] -(f(tt_ts,tk) = f(t,tsk)).
% 0.76/1.14 ---------------- PROOF FOUND ----------------
% 0.76/1.14 % SZS status Unsatisfiable
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 After processing input:
% 0.76/1.14
% 0.76/1.14 Usable:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Sos:
% 0.76/1.14 2 (wt=5) [flip(1)] f(t,t) = tt.
% 0.76/1.14 3 (wt=5) [flip(1)] f(t,s) = ts.
% 0.76/1.14 4 (wt=5) [flip(1)] f(tt,ts) = tt_ts.
% 0.76/1.14 5 (wt=5) [flip(1)] f(t,k) = tk.
% 0.76/1.14 6 (wt=5) [flip(1)] f(ts,k) = tsk.
% 0.76/1.14 7 (wt=7) [flip(1)] -(f(tt_ts,tk) = f(t,tsk)).
% 0.76/1.14 1 (wt=13) [flip(1)] f(f(A,B),f(A,C)) = f(A,f(B,C)).
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Demodulators:
% 0.76/1.14 1 (wt=13) [flip(1)] f(f(A,B),f(A,C)) = f(A,f(B,C)).
% 0.76/1.14 2 (wt=5) [flip(1)] f(t,t) = tt.
% 0.76/1.14 3 (wt=5) [flip(1)] f(t,s) = ts.
% 0.76/1.14 4 (wt=5) [flip(1)] f(tt,ts) = tt_ts.
% 0.76/1.14 5 (wt=5) [flip(1)] f(t,k) = tk.
% 0.76/1.14 6 (wt=5) [flip(1)] f(ts,k) = tsk.
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Passive:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 UNIT CONFLICT from 75 and 7 at 0.01 seconds.
% 0.76/1.14
% 0.76/1.14 ---------------- PROOF ----------------
% 0.76/1.14 % SZS output start Refutation
% See solution above
% 0.76/1.14 ------------ end of proof -------------
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 ------------- memory usage ------------
% 0.76/1.14 Memory dynamically allocated (tp_alloc): 488.
% 0.76/1.14 type (bytes each) gets frees in use avail bytes
% 0.76/1.14 sym_ent ( 96) 60 0 60 0 5.6 K
% 0.76/1.14 term ( 16) 4355 3000 1355 25 26.7 K
% 0.76/1.14 gen_ptr ( 8) 5604 391 5213 11 40.8 K
% 0.76/1.14 context ( 808) 4833 4831 2 3 3.9 K
% 0.76/1.14 trail ( 12) 126 126 0 6 0.1 K
% 0.76/1.14 bt_node ( 68) 2176 2173 3 8 0.7 K
% 0.76/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.76/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.76/1.14 ac_match_free_vars_pos (4020)
% 0.76/1.14 0 0 0 0 0.0 K
% 0.76/1.14 discrim ( 12) 1331 0 1331 0 15.6 K
% 0.76/1.14 flat ( 40) 7800 7800 0 39 1.5 K
% 0.76/1.14 discrim_pos ( 12) 102 102 0 1 0.0 K
% 0.76/1.14 fpa_head ( 12) 378 0 378 0 4.4 K
% 0.76/1.14 fpa_tree ( 28) 246 246 0 7 0.2 K
% 0.76/1.14 fpa_pos ( 36) 140 140 0 1 0.0 K
% 0.76/1.14 literal ( 12) 217 142 75 1 0.9 K
% 0.76/1.14 clause ( 24) 217 142 75 1 1.8 K
% 0.76/1.14 list ( 12) 124 68 56 3 0.7 K
% 0.76/1.14 list_pos ( 20) 294 7 287 0 5.6 K
% 0.76/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.76/1.14
% 0.76/1.14 -------------- statistics -------------
% 0.76/1.14 Clauses input 7
% 0.76/1.14 Usable input 0
% 0.76/1.14 Sos input 7
% 0.76/1.14 Demodulators input 0
% 0.76/1.14 Passive input 0
% 0.76/1.14
% 0.76/1.14 Processed BS (before search) 7
% 0.76/1.14 Forward subsumed BS 0
% 0.76/1.14 Kept BS 7
% 0.76/1.14 New demodulators BS 6
% 0.76/1.14 Back demodulated BS 0
% 0.76/1.14
% 0.76/1.14 Clauses or pairs given 253
% 0.76/1.14 Clauses generated 126
% 0.76/1.14 Forward subsumed 58
% 0.76/1.14 Deleted by weight 0
% 0.76/1.14 Deleted by variable count 0
% 0.76/1.14 Kept 68
% 0.76/1.14 New demodulators 59
% 0.76/1.14 Back demodulated 0
% 0.76/1.14 Ordered paramod prunes 0
% 0.76/1.14 Basic paramod prunes 134
% 0.76/1.14 Prime paramod prunes 0
% 0.76/1.14 Semantic prunes 0
% 0.76/1.14
% 0.76/1.14 Rewrite attmepts 1903
% 0.76/1.14 Rewrites 98
% 0.76/1.14
% 0.76/1.14 FPA overloads 0
% 0.76/1.14 FPA underloads 0
% 0.76/1.14
% 0.76/1.14 Usable size 0
% 0.76/1.14 Sos size 74
% 0.76/1.14 Demodulators size 65
% 0.76/1.14 Passive size 0
% 0.76/1.14 Disabled size 0
% 0.76/1.14
% 0.76/1.14 Proofs found 1
% 0.76/1.14
% 0.76/1.14 ----------- times (seconds) ----------- Mon May 30 03:54:28 2022
% 0.76/1.14
% 0.76/1.14 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.76/1.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.76/1.14 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.76/1.14 input time 0.00
% 0.76/1.14 paramodulation time 0.00
% 0.76/1.14 demodulation time 0.00
% 0.76/1.14 orient time 0.00
% 0.76/1.14 weigh time 0.00
% 0.76/1.14 forward subsume time 0.00
% 0.76/1.14 back demod find time 0.00
% 0.76/1.14 conflict time 0.00
% 0.76/1.14 LRPO time 0.00
% 0.76/1.14 store clause time 0.00
% 0.76/1.14 disable clause time 0.00
% 0.76/1.14 prime paramod time 0.00
% 0.76/1.14 semantics time 0.00
% 0.76/1.14
% 0.76/1.14 EQP interrupted
%------------------------------------------------------------------------------