%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sat Jul 16 08:45:57 EDT 2022
% Result : Unsatisfiable 0.45s 0.85s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP206-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,identity),A),
file('GRP206-1.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(A,multiply(multiply(B,C),A)),multiply(multiply(A,B),multiply(C,A))),
file('GRP206-1.p',unknown),
[] ).
cnf(11,plain,
~ equal(multiply(multiply(a,multiply(b,c)),a),multiply(multiply(a,b),multiply(c,a))),
file('GRP206-1.p',unknown),
[] ).
cnf(23,plain,
equal(multiply(multiply(A,B),A),multiply(A,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,9]),1]),1]),
[iquote('para(2,9),demod([1]),flip(1)')] ).
cnf(24,plain,
~ equal(multiply(a,multiply(multiply(b,c),a)),multiply(multiply(a,b),multiply(c,a))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),23]),
[iquote('back_demod(11),demod([23])')] ).
cnf(25,plain,
$false,
inference(conflict,[status(thm)],[24,9]),
[iquote('conflict(24,9)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 0.05/0.09 % Command : tptp2X_and_run_eqp %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jun 13 15:06:57 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.45/0.85 ----- EQP 0.9e, May 2009 -----
% 0.45/0.85 The job began on n032.cluster.edu, Mon Jun 13 15:06:57 2022
% 0.45/0.85 The command was "./eqp09e".
% 0.45/0.85
% 0.45/0.85 set(prolog_style_variables).
% 0.45/0.85 set(lrpo).
% 0.45/0.85 set(basic_paramod).
% 0.45/0.85 set(functional_subsume).
% 0.45/0.85 set(ordered_paramod).
% 0.45/0.85 set(prime_paramod).
% 0.45/0.85 set(para_pairs).
% 0.45/0.85 assign(pick_given_ratio,4).
% 0.45/0.85 clear(print_kept).
% 0.45/0.85 clear(print_new_demod).
% 0.45/0.85 clear(print_back_demod).
% 0.45/0.85 clear(print_given).
% 0.45/0.85 assign(max_mem,64000).
% 0.45/0.85 end_of_commands.
% 0.45/0.85
% 0.45/0.85 Usable:
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Sos:
% 0.45/0.85 0 (wt=-1) [] multiply(identity,A) = A.
% 0.45/0.85 0 (wt=-1) [] multiply(A,identity) = A.
% 0.45/0.85 0 (wt=-1) [] multiply(A,left_division(A,B)) = B.
% 0.45/0.85 0 (wt=-1) [] left_division(A,multiply(A,B)) = B.
% 0.45/0.85 0 (wt=-1) [] multiply(right_division(A,B),B) = A.
% 0.45/0.85 0 (wt=-1) [] right_division(multiply(A,B),B) = A.
% 0.45/0.85 0 (wt=-1) [] multiply(A,right_inverse(A)) = identity.
% 0.45/0.85 0 (wt=-1) [] multiply(left_inverse(A),A) = identity.
% 0.45/0.85 0 (wt=-1) [] multiply(A,multiply(multiply(B,C),A)) = multiply(multiply(A,B),multiply(C,A)).
% 0.45/0.85 0 (wt=-1) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Demodulators:
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Passive:
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Starting to process input.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.45/0.85 1 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 2 (wt=5) [] multiply(A,identity) = A.
% 0.45/0.85 2 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 0.45/0.85 3 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 0.45/0.85 4 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 0.45/0.85 5 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 0.45/0.85 6 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 0.45/0.85 7 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 0.45/0.85 8 is a new demodulator.
% 0.45/0.85
% 0.45/0.85 ** KEPT: 9 (wt=15) [] multiply(A,multiply(multiply(B,C),A)) = multiply(multiply(A,B),multiply(C,A)).
% 0.45/0.85
% 0.45/0.85 ** KEPT: 10 (wt=15) [flip(9)] multiply(multiply(A,B),multiply(C,A)) = multiply(A,multiply(multiply(B,C),A)).
% 0.45/0.85 clause forward subsumed: 0 (wt=15) [flip(10)] multiply(A,multiply(multiply(B,C),A)) = multiply(multiply(A,B),multiply(C,A)).
% 0.45/0.85
% 0.45/0.85 ** KEPT: 11 (wt=15) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 0.45/0.85 ---------------- PROOF FOUND ----------------
% 0.45/0.85 % SZS status Unsatisfiable
% 0.45/0.85
% 0.45/0.85
% 0.45/0.85 After processing input:
% 0.45/0.85
% 0.45/0.85 Usable:
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Sos:
% 0.45/0.85 1 (wt=5) [] multiply(identity,A) = A.
% 0.45/0.85 2 (wt=5) [] multiply(A,identity) = A.
% 0.45/0.85 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 0.45/0.85 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 0.45/0.85 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 0.45/0.85 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 0.45/0.85 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 0.45/0.85 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 0.45/0.85 9 (wt=15) [] multiply(A,multiply(multiply(B,C),A)) = multiply(multiply(A,B),multiply(C,A)).
% 0.45/0.85 10 (wt=15) [flip(9)] multiply(multiply(A,B),multiply(C,A)) = multiply(A,multiply(multiply(B,C),A)).
% 0.45/0.85 11 (wt=15) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Demodulators:
% 0.45/0.85 1 (wt=5) [] multiply(identity,A) = A.
% 0.45/0.85 2 (wt=5) [] multiply(A,identity) = A.
% 0.45/0.85 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 0.45/0.85 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 0.45/0.85 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 0.45/0.85 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 0.45/0.85 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 0.45/0.85 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 Passive:
% 0.45/0.85 end_of_list.
% 0.45/0.85
% 0.45/0.85 UNIT CONFLICT from 24 and 9 at 0.00 seconds.
% 0.45/0.85
% 0.45/0.85 ---------------- PROOF ----------------
% 0.45/0.85 % SZS output start Refutation
% See solution above
% 0.45/0.85 ------------ end of proof -------------
% 0.45/0.85
% 0.45/0.85
% 0.45/0.85 ------------- memory usage ------------
% 0.45/0.85 Memory dynamically allocated (tp_alloc): 488.
% 0.45/0.85 type (bytes each) gets frees in use avail bytes
% 0.45/0.85 sym_ent ( 96) 60 0 60 0 5.6 K
% 0.45/0.85 term ( 16) 1197 1012 185 16 3.8 K
% 0.45/0.85 gen_ptr ( 8) 771 270 501 12 4.0 K
% 0.45/0.85 context ( 808) 783 781 2 3 3.9 K
% 0.45/0.85 trail ( 12) 54 54 0 3 0.0 K
% 0.45/0.85 bt_node ( 68) 330 327 3 3 0.4 K
% 0.45/0.85 ac_position (285432) 0 0 0 0 0.0 K
% 0.45/0.85 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.45/0.85 ac_match_free_vars_pos (4020)
% 0.45/0.85 0 0 0 0 0.0 K
% 0.45/0.85 discrim ( 12) 175 40 135 22 1.8 K
% 0.45/0.85 flat ( 40) 572 572 0 15 0.6 K
% 0.45/0.85 discrim_pos ( 12) 21 21 0 1 0.0 K
% 0.45/0.85 fpa_head ( 12) 161 0 161 0 1.9 K
% 0.45/0.85 fpa_tree ( 28) 67 67 0 23 0.6 K
% 0.45/0.85 fpa_pos ( 36) 44 44 0 1 0.0 K
% 0.45/0.85 literal ( 12) 75 51 24 0 0.3 K
% 0.45/0.85 clause ( 24) 75 51 24 0 0.6 K
% 0.45/0.85 list ( 12) 79 22 57 2 0.7 K
% 0.45/0.85 list_pos ( 20) 111 39 72 10 1.6 K
% 0.45/0.85 pair_index ( 40) 2 0 2 0 0.1 K
% 0.45/0.85
% 0.45/0.85 -------------- statistics -------------
% 0.45/0.85 Clauses input 10
% 0.45/0.85 Usable input 0
% 0.45/0.85 Sos input 10
% 0.45/0.85 Demodulators input 0
% 0.45/0.85 Passive input 0
% 0.45/0.85
% 0.45/0.85 Processed BS (before search) 12
% 0.45/0.85 Forward subsumed BS 1
% 0.45/0.85 Kept BS 11
% 0.45/0.85 New demodulators BS 8
% 0.45/0.85 Back demodulated BS 0
% 0.45/0.85
% 0.45/0.85 Clauses or pairs given 130
% 0.45/0.85 Clauses generated 40
% 0.45/0.85 Forward subsumed 27
% 0.45/0.85 Deleted by weight 0
% 0.45/0.85 Deleted by variable count 0
% 0.45/0.85 Kept 13
% 0.45/0.85 New demodulators 12
% 0.45/0.85 Back demodulated 6
% 0.45/0.85 Ordered paramod prunes 0
% 0.45/0.85 Basic paramod prunes 175
% 0.45/0.85 Prime paramod prunes 1
% 0.45/0.85 Semantic prunes 0
% 0.45/0.85
% 0.45/0.85 Rewrite attmepts 218
% 0.45/0.85 Rewrites 19
% 0.45/0.85
% 0.45/0.85 FPA overloads 0
% 0.45/0.85 FPA underloads 0
% 0.45/0.85
% 0.45/0.85 Usable size 0
% 0.45/0.85 Sos size 17
% 0.45/0.85 Demodulators size 15
% 0.45/0.85 Passive size 0
% 0.45/0.85 Disabled size 6
% 0.45/0.85
% 0.45/0.85 Proofs found 1
% 0.45/0.85
% 0.45/0.85 ----------- times (seconds) ----------- Mon Jun 13 15:06:57 2022
% 0.45/0.85
% 0.45/0.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.45/0.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.45/0.85 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.45/0.85 input time 0.00
% 0.45/0.85 paramodulation time 0.00
% 0.45/0.85 demodulation time 0.00
% 0.45/0.85 orient time 0.00
% 0.45/0.85 weigh time 0.00
% 0.45/0.85 forward subsume time 0.00
% 0.45/0.85 back demod find time 0.00
% 0.45/0.85 conflict time 0.00
% 0.45/0.85 LRPO time 0.00
% 0.45/0.85 store clause time 0.00
% 0.45/0.85 disable clause time 0.00
% 0.45/0.85 prime paramod time 0.00
% 0.45/0.85 semantics time 0.00
% 0.45/0.85
% 0.45/0.85 EQP interrupted
%------------------------------------------------------------------------------