TSTP Solution File: RNG004-10 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n027.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 20:25:28 EDT 2022
% Result : Unsatisfiable 24.81s 25.20s
% Output : Refutation 24.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 9 RR)
% Number of literals : 64 ( 0 equ; 1 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 : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 153 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(ifeq2(A,A,B,C),B),
file('RNG004-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('RNG004-10.p',unknown),
[] ).
cnf(3,plain,
equal(sum(additive_identity,A,A),true),
file('RNG004-10.p',unknown),
[] ).
cnf(4,plain,
equal(sum(A,additive_identity,A),true),
file('RNG004-10.p',unknown),
[] ).
cnf(5,plain,
equal(product(A,B,multiply(A,B)),true),
file('RNG004-10.p',unknown),
[] ).
cnf(6,plain,
equal(sum(A,B,add(A,B)),true),
file('RNG004-10.p',unknown),
[] ).
cnf(7,plain,
equal(sum(additive_inverse(A),A,additive_identity),true),
file('RNG004-10.p',unknown),
[] ).
cnf(9,plain,
equal(ifeq(sum(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(F,D,A),true,sum(F,E,C),true),true),true),true),
file('RNG004-10.p',unknown),
[] ).
cnf(11,plain,
equal(ifeq(sum(A,B,C),true,sum(B,A,C),true),true),
file('RNG004-10.p',unknown),
[] ).
cnf(14,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true),true),
file('RNG004-10.p',unknown),
[] ).
cnf(16,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true),true),
file('RNG004-10.p',unknown),
[] ).
cnf(18,plain,
equal(ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C),C),
file('RNG004-10.p',unknown),
[] ).
cnf(19,plain,
equal(ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C),C),
file('RNG004-10.p',unknown),
[] ).
cnf(20,plain,
equal(product(a,b,c),true),
file('RNG004-10.p',unknown),
[] ).
cnf(21,plain,
equal(product(additive_inverse(a),additive_inverse(b),d),true),
file('RNG004-10.p',unknown),
[] ).
cnf(22,plain,
~ equal(d,c),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(23,plain,
equal(ifeq(sum(A,B,C),true,ifeq(sum(D,A,additive_identity),true,sum(D,C,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,9]),2]),
[iquote('para(3,9),demod([2])')] ).
cnf(31,plain,
equal(sum(A,B,add(B,A)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,11]),2]),
[iquote('para(6,11),demod([2])')] ).
cnf(44,plain,
equal(ifeq2(sum(additive_identity,A,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,18]),1]),
[iquote('para(3,18),demod([1])')] ).
cnf(70,plain,
equal(add(A,additive_identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,44]),1]),
[iquote('para(31,44),demod([1])')] ).
cnf(75,plain,
equal(ifeq2(sum(A,additive_identity,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,18]),1]),
[iquote('para(4,18),demod([1])')] ).
cnf(81,plain,
equal(ifeq2(product(a,b,A),true,A,c),c),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,19]),1]),
[iquote('para(20,19),demod([1])')] ).
cnf(83,plain,
equal(multiply(a,b),c),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,81]),1]),
[iquote('para(5,81),demod([1])')] ).
cnf(84,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,B,D),true,ifeq(product(A,additive_identity,E),true,sum(E,D,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,14]),2]),
[iquote('para(3,14),demod([2])')] ).
cnf(88,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,B,F),true,sum(E,C,multiply(A,F)),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,14]),2]),
[iquote('para(5,14),demod([2])')] ).
cnf(112,plain,
equal(ifeq2(sum(additive_inverse(A),A,B),true,B,additive_identity),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,18]),1]),
[iquote('para(7,18),demod([1])')] ).
cnf(114,plain,
equal(add(additive_inverse(A),A),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,112]),1]),
[iquote('para(6,112),demod([1])')] ).
cnf(115,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,B,D),true,ifeq(product(additive_identity,B,E),true,sum(E,D,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,16]),2]),
[iquote('para(3,16),demod([2])')] ).
cnf(119,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(D,A,F),true,sum(E,C,multiply(F,B)),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,16]),2]),
[iquote('para(5,16),demod([2])')] ).
cnf(146,plain,
equal(ifeq2(sum(A,B,C),true,add(A,B),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,18]),1]),
[iquote('para(6,18),demod([1])')] ).
cnf(147,plain,
equal(add(A,B),add(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,146]),1]),
[iquote('para(31,146),demod([1])')] ).
cnf(149,plain,
equal(ifeq2(product(A,B,C),true,multiply(A,B),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,19]),1]),
[iquote('para(5,19),demod([1])')] ).
cnf(151,plain,
equal(multiply(additive_inverse(a),additive_inverse(b)),d),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,149]),1]),
[iquote('para(21,149),demod([1])')] ).
cnf(203,plain,
equal(ifeq(sum(A,additive_inverse(B),additive_identity),true,sum(A,additive_identity,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,23]),2]),
[iquote('para(7,23),demod([2])')] ).
cnf(204,plain,
equal(ifeq(sum(A,B,C),true,sum(additive_inverse(A),C,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,23]),2]),
[iquote('para(7,23),demod([2])')] ).
cnf(221,plain,
equal(sum(additive_inverse(additive_inverse(A)),additive_identity,A),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,203]),2]),
[iquote('para(7,203),demod([2])')] ).
cnf(230,plain,
equal(additive_inverse(additive_inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[221,75]),1]),1]),
[iquote('para(221,75),demod([1]),flip(1)')] ).
cnf(248,plain,
equal(sum(additive_inverse(A),add(A,B),B),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,204]),2]),
[iquote('para(6,204),demod([2])')] ).
cnf(265,plain,
equal(add(additive_inverse(A),add(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[248,146]),1]),
[iquote('para(248,146),demod([1])')] ).
cnf(813,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,D),true,sum(D,C,multiply(A,B)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,84]),2]),
[iquote('para(5,84),demod([2])')] ).
cnf(883,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(B,D,E),true,sum(C,multiply(A,D),multiply(A,E)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,88]),2]),
[iquote('para(5,88),demod([2])')] ).
cnf(1288,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(additive_identity,B,D),true,sum(D,C,multiply(A,B)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,115]),2]),
[iquote('para(5,115),demod([2])')] ).
cnf(1378,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(A,D,E),true,sum(C,multiply(D,B),multiply(E,B)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,119]),2]),
[iquote('para(5,119),demod([2])')] ).
cnf(18025,plain,
equal(ifeq(product(A,additive_identity,B),true,sum(B,multiply(A,C),multiply(A,C)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,813]),2]),
[iquote('para(5,813),demod([2])')] ).
cnf(18824,plain,
equal(sum(multiply(A,additive_identity),multiply(A,B),multiply(A,B)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,18025]),2]),
[iquote('para(5,18025),demod([2])')] ).
cnf(18827,plain,
equal(add(multiply(A,additive_identity),multiply(A,B)),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18824,146]),1]),
[iquote('para(18824,146),demod([1])')] ).
cnf(18830,plain,
equal(add(additive_inverse(multiply(A,additive_identity)),multiply(A,B)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[18827,265]),
[iquote('para(18827,265)')] ).
cnf(18831,plain,
equal(multiply(A,additive_identity),additive_identity),
inference(para,[status(thm),theory(equality)],[18830,114]),
[iquote('para(18830,114)')] ).
cnf(19222,plain,
equal(ifeq(product(A,additive_inverse(B),C),true,sum(C,multiply(A,B),additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,883]),18831,2]),
[iquote('para(7,883),demod([18831,2])')] ).
cnf(20495,plain,
equal(sum(multiply(A,additive_inverse(B)),multiply(A,B),additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,19222]),2]),
[iquote('para(5,19222),demod([2])')] ).
cnf(20583,plain,
equal(add(multiply(A,additive_inverse(B)),multiply(A,B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20495,146]),1]),
[iquote('para(20495,146),demod([1])')] ).
cnf(20589,plain,
equal(additive_inverse(multiply(A,additive_inverse(B))),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20583,265]),70]),
[iquote('para(20583,265),demod([70])')] ).
cnf(20590,plain,
equal(additive_inverse(multiply(A,B)),multiply(A,additive_inverse(B))),
inference(para,[status(thm),theory(equality)],[230,20589]),
[iquote('para(230,20589)')] ).
cnf(30809,plain,
equal(ifeq(product(additive_identity,A,B),true,sum(B,multiply(C,A),multiply(C,A)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,1288]),2]),
[iquote('para(5,1288),demod([2])')] ).
cnf(30812,plain,
equal(sum(multiply(additive_identity,A),multiply(B,A),multiply(B,A)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,30809]),2]),
[iquote('para(5,30809),demod([2])')] ).
cnf(30827,plain,
equal(add(multiply(additive_identity,A),multiply(B,A)),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30812,146]),1]),
[iquote('para(30812,146),demod([1])')] ).
cnf(30828,plain,
equal(add(multiply(A,B),multiply(additive_identity,B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30827,147]),1]),
[iquote('para(30827,147),flip(1)')] ).
cnf(30832,plain,
equal(multiply(additive_identity,A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30828,265]),20590,20583]),1]),
[iquote('para(30828,265),demod([20590,20583]),flip(1)')] ).
cnf(33468,plain,
equal(ifeq(product(additive_inverse(A),B,C),true,sum(C,multiply(A,B),additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,1378]),30832,2]),
[iquote('para(7,1378),demod([30832,2])')] ).
cnf(33470,plain,
equal(ifeq(product(additive_inverse(a),b,A),true,sum(A,c,additive_identity),true),true),
inference(para,[status(thm),theory(equality)],[83,33468]),
[iquote('para(83,33468)')] ).
cnf(33471,plain,
equal(sum(multiply(additive_inverse(a),b),c,additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,33470]),2]),
[iquote('para(5,33470),demod([2])')] ).
cnf(33474,plain,
equal(add(multiply(additive_inverse(a),b),c),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33471,146]),1]),
[iquote('para(33471,146),demod([1])')] ).
cnf(33495,plain,
equal(d,c),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33474,265]),20590,151,70]),
[iquote('para(33474,265),demod([20590,151,70])')] ).
cnf(33496,plain,
$false,
inference(conflict,[status(thm)],[33495,22]),
[iquote('conflict(33495,22)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 05:58:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.40/1.05 ----- EQP 0.9e, May 2009 -----
% 0.40/1.05 The job began on n027.cluster.edu, Mon May 30 05:58:31 2022
% 0.40/1.05 The command was "./eqp09e".
% 0.40/1.05
% 0.40/1.05 set(prolog_style_variables).
% 0.40/1.05 set(lrpo).
% 0.40/1.05 set(basic_paramod).
% 0.40/1.05 set(functional_subsume).
% 0.40/1.05 set(ordered_paramod).
% 0.40/1.05 set(prime_paramod).
% 0.40/1.05 set(para_pairs).
% 0.40/1.05 assign(pick_given_ratio,4).
% 0.40/1.05 clear(print_kept).
% 0.40/1.05 clear(print_new_demod).
% 0.40/1.05 clear(print_back_demod).
% 0.40/1.05 clear(print_given).
% 0.40/1.05 assign(max_mem,64000).
% 0.40/1.05 end_of_commands.
% 0.40/1.05
% 0.40/1.05 Usable:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Sos:
% 0.40/1.05 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.40/1.05 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.40/1.05 0 (wt=-1) [] sum(additive_identity,A,A) = true.
% 0.40/1.05 0 (wt=-1) [] sum(A,additive_identity,A) = true.
% 0.40/1.05 0 (wt=-1) [] product(A,B,multiply(A,B)) = true.
% 0.40/1.05 0 (wt=-1) [] sum(A,B,add(A,B)) = true.
% 0.40/1.05 0 (wt=-1) [] sum(additive_inverse(A),A,additive_identity) = true.
% 0.40/1.05 0 (wt=-1) [] sum(A,additive_inverse(A),additive_identity) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(sum(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(F,D,A),true,sum(F,E,C),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(sum(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,A,F),true,sum(F,B,E),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 0.40/1.05 0 (wt=-1) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.40/1.05 0 (wt=-1) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.40/1.05 0 (wt=-1) [] product(a,b,c) = true.
% 0.40/1.05 0 (wt=-1) [] product(additive_inverse(a),additive_inverse(b),d) = true.
% 0.40/1.05 0 (wt=-1) [] -(c = d).
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Demodulators:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Passive:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Starting to process input.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.40/1.05 1 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.40/1.05 2 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 3 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.40/1.05 3 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 4 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.40/1.05 4 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 5 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.40/1.05 5 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 6 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.40/1.05 6 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 7 (wt=7) [] sum(additive_inverse(A),A,additive_identity) = true.
% 0.40/1.05 7 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 8 (wt=7) [] sum(A,additive_inverse(A),additive_identity) = true.
% 0.40/1.05 8 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 9 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(F,D,A),true,sum(F,E,C),true),true),true) = true.
% 0.40/1.05 9 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 10 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,A,F),true,sum(F,B,E),true),true),true) = true.
% 0.40/1.05 10 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 11 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.40/1.05 11 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 12 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 0.40/1.05 12 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 13 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 0.40/1.05 13 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 0.40/1.05 14 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 0.40/1.05 15 is a new demodulator.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 24.81/25.20 16 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 24.81/25.20 17 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 18 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 24.81/25.20 18 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 19 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 24.81/25.20 19 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 20 (wt=6) [] product(a,b,c) = true.
% 24.81/25.20 20 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 21 (wt=8) [] product(additive_inverse(a),additive_inverse(b),d) = true.
% 24.81/25.20 21 is a new demodulator.
% 24.81/25.20
% 24.81/25.20 ** KEPT: 22 (wt=3) [flip(1)] -(d = c).
% 24.81/25.20 ---------------- PROOF FOUND ----------------
% 24.81/25.20 % SZS status Unsatisfiable
% 24.81/25.20
% 24.81/25.20
% 24.81/25.20 After processing input:
% 24.81/25.20
% 24.81/25.20 Usable:
% 24.81/25.20 end_of_list.
% 24.81/25.20
% 24.81/25.20 Sos:
% 24.81/25.20 22 (wt=3) [flip(1)] -(d = c).
% 24.81/25.20 3 (wt=6) [] sum(additive_identity,A,A) = true.
% 24.81/25.20 4 (wt=6) [] sum(A,additive_identity,A) = true.
% 24.81/25.20 20 (wt=6) [] product(a,b,c) = true.
% 24.81/25.20 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 24.81/25.20 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 24.81/25.20 7 (wt=7) [] sum(additive_inverse(A),A,additive_identity) = true.
% 24.81/25.20 8 (wt=7) [] sum(A,additive_inverse(A),additive_identity) = true.
% 24.81/25.20 5 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 24.81/25.20 6 (wt=8) [] sum(A,B,add(A,B)) = true.
% 24.81/25.20 21 (wt=8) [] product(additive_inverse(a),additive_inverse(b),d) = true.
% 24.81/25.20 11 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 24.81/25.20 18 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 24.81/25.20 19 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 24.81/25.20 9 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(F,D,A),true,sum(F,E,C),true),true),true) = true.
% 24.81/25.20 10 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,A,F),true,sum(F,B,E),true),true),true) = true.
% 24.81/25.20 12 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 24.81/25.20 13 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 24.81/25.20 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 24.81/25.20 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 24.81/25.20 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 24.81/25.20 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 24.81/25.20 end_of_list.
% 24.81/25.20
% 24.81/25.20 Demodulators:
% 24.81/25.20 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 24.81/25.20 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 24.81/25.20 3 (wt=6) [] sum(additive_identity,A,A) = true.
% 24.81/25.20 4 (wt=6) [] sum(A,additive_identity,A) = true.
% 24.81/25.20 5 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 24.81/25.20 6 (wt=8) [] sum(A,B,add(A,B)) = true.
% 24.81/25.20 7 (wt=7) [] sum(additive_inverse(A),A,additive_identity) = true.
% 24.81/25.20 8 (wt=7) [] sum(A,additive_inverse(A),additive_identity) = true.
% 24.81/25.20 9 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(F,D,A),true,sum(F,E,C),true),true),true) = true.
% 24.81/25.20 10 (wt=27) [] ifeq(sum(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,A,F),true,sum(F,B,E),true),true),true) = true.
% 24.81/25.20 11 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 24.81/25.20 12 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 24.81/25.20 13 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 24.81/25.20 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 24.81/25.20 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 24.81/25.20 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 24.81/25.20 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 24.81/25.20 18 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 24.81/25.20 19 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 24.81/25.20 20 (wt=6) [] product(a,b,c) = true.
% 24.81/25.20 21 (wt=8) [] product(additive_inverse(a),additive_inverse(b),d) = true.
% 24.81/25.20 end_of_list.
% 24.81/25.20
% 24.81/25.20 Passive:
% 24.81/25.20 end_of_list.
% 24.81/25.20
% 24.81/25.20 UNIT CONFLICT from 33495 and 22 at 17.61 seconds.
% 24.81/25.20
% 24.81/25.20 ---------------- PROOF ----------------
% 24.81/25.20 % SZS output start Refutation
% See solution above
% 24.81/25.20 ------------ end of proof -------------
% 24.81/25.20
% 24.81/25.20
% 24.81/25.20 ------------- memory usage ------------
% 24.81/25.20 Memory dynamically allocated (tp_alloc): 47851.
% 24.81/25.20 type (bytes each) gets frees in use avail bytes
% 24.81/25.20 sym_ent ( 96) 74 0 74 0 6.9 K
% 24.81/25.20 term ( 16) 6371523 5672473 699050 42 13523.3 K
% 24.81/25.20 gen_ptr ( 8) 4973405 2024293 2949112 63 23040.4 K
% 24.81/25.20 context ( 808) 38738957 38738955 2 6 6.3 K
% 24.81/25.20 trail ( 12) 619055 619055 0 8 0.1 K
% 24.81/25.20 bt_node ( 68) 25515795 25515792 3 29 2.1 K
% 24.81/25.20 ac_position (285432) 0 0 0 0 0.0 K
% 24.81/25.20 ac_match_pos (14044) 0 0 0 0 0.0 K
% 24.81/25.20 ac_match_free_vars_pos (4020)
% 24.81/25.20 0 0 0 0 0.0 K
% 24.81/25.20 discrim ( 12) 550543 322424 228119 173046 4701.2 K
% 24.81/25.20 flat ( 40) 11989975 11989975 0 42 1.6 K
% 24.81/25.20 discrim_pos ( 12) 449080 449080 0 1 0.0 K
% 24.81/25.20 fpa_head ( 12) 13546 0 13546 0 158.7 K
% 24.81/25.20 fpa_tree ( 28) 419699 419699 0 29 0.8 K
% 24.81/25.20 fpa_pos ( 36) 66769 66769 0 1 0.0 K
% 24.81/25.20 literal ( 12) 245180 211685 33495 1 392.5 K
% 24.81/25.20 clause ( 24) 245180 211685 33495 1 785.1 K
% 24.81/25.20 list ( 12) 33333 33277 56 20 0.9 K
% 24.81/25.20 list_pos ( 20) 184306 109068 75238 30579 2066.7 K
% 24.81/25.20 pair_index ( 40) 2 0 2 0 0.1 K
% 24.81/25.20
% 24.81/25.20 -------------- statistics -------------
% 24.81/25.20 Clauses input 22
% 24.81/25.20 Usable input 0
% 24.81/25.20 Sos input 22
% 24.81/25.20 Demodulators input 0
% 24.81/25.20 Passive input 0
% 24.81/25.20
% 24.81/25.20 Processed BS (before search) 22
% 24.81/25.20 Forward subsumed BS 0
% 24.81/25.20 Kept BS 22
% 24.81/25.20 New demodulators BS 21
% 24.81/25.20 Back demodulated BS 0
% 24.81/25.20
% 24.81/25.20 Clauses or pairs given 1861421
% 24.81/25.20 Clauses generated 207826
% 24.81/25.20 Forward subsumed 174353
% 24.81/25.20 Deleted by weight 0
% 24.81/25.20 Deleted by variable count 0
% 24.81/25.20 Kept 33473
% 24.81/25.20 New demodulators 33253
% 24.81/25.20 Back demodulated 19530
% 24.81/25.20 Ordered paramod prunes 0
% 24.81/25.20 Basic paramod prunes 10280266
% 24.81/25.20 Prime paramod prunes 39161
% 24.81/25.20 Semantic prunes 0
% 24.81/25.20
% 24.81/25.20 Rewrite attmepts 3018209
% 24.81/25.20 Rewrites 406656
% 24.81/25.20
% 24.81/25.20 FPA overloads 0
% 24.81/25.20 FPA underloads 0
% 24.81/25.20
% 24.81/25.20 Usable size 0
% 24.81/25.20 Sos size 13964
% 24.81/25.20 Demodulators size 13816
% 24.81/25.20 Passive size 0
% 24.81/25.20 Disabled size 19530
% 24.81/25.20
% 24.81/25.20 Proofs found 1
% 24.81/25.20
% 24.81/25.20 ----------- times (seconds) ----------- Mon May 30 05:58:56 2022
% 24.81/25.20
% 24.81/25.20 user CPU time 17.61 (0 hr, 0 min, 17 sec)
% 24.81/25.20 system CPU time 6.53 (0 hr, 0 min, 6 sec)
% 24.81/25.20 wall-clock time 25 (0 hr, 0 min, 25 sec)
% 24.81/25.20 input time 0.00
% 24.81/25.20 paramodulation time 2.13
% 24.81/25.20 demodulation time 0.49
% 24.81/25.20 orient time 0.29
% 24.81/25.20 weigh time 0.05
% 24.81/25.20 forward subsume time 0.12
% 24.81/25.20 back demod find time 3.75
% 24.81/25.20 conflict time 0.02
% 24.81/25.20 LRPO time 0.12
% 24.81/25.20 store clause time 4.13
% 24.81/25.20 disable clause time 4.72
% 24.81/25.20 prime paramod time 0.21
% 24.81/25.20 semantics time 0.00
% 24.81/25.20
% 24.81/25.20 EQP interrupted
%------------------------------------------------------------------------------