TSTP Solution File: BOO004-10 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 : Thu Jul 14 23:37:03 EDT 2022
% Result : Unsatisfiable 0.71s 1.37s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 5 RR)
% Number of literals : 31 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 71 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(ifeq2(A,A,B,C),B),
file('BOO004-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('BOO004-10.p',unknown),
[] ).
cnf(3,plain,
equal(sum(A,B,add(A,B)),true),
file('BOO004-10.p',unknown),
[] ).
cnf(5,plain,
equal(ifeq(sum(A,B,C),true,sum(B,A,C),true),true),
file('BOO004-10.p',unknown),
[] ).
cnf(7,plain,
equal(sum(additive_identity,A,A),true),
file('BOO004-10.p',unknown),
[] ).
cnf(8,plain,
equal(sum(A,additive_identity,A),true),
file('BOO004-10.p',unknown),
[] ).
cnf(10,plain,
equal(product(A,multiplicative_identity,A),true),
file('BOO004-10.p',unknown),
[] ).
cnf(11,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('BOO004-10.p',unknown),
[] ).
cnf(15,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true),true),
file('BOO004-10.p',unknown),
[] ).
cnf(20,plain,
equal(sum(A,inverse(A),multiplicative_identity),true),
file('BOO004-10.p',unknown),
[] ).
cnf(21,plain,
equal(product(inverse(A),A,additive_identity),true),
file('BOO004-10.p',unknown),
[] ).
cnf(23,plain,
equal(ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C),C),
file('BOO004-10.p',unknown),
[] ).
cnf(24,plain,
equal(ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C),C),
file('BOO004-10.p',unknown),
[] ).
cnf(25,plain,
~ equal(sum(x,x,x),true),
file('BOO004-10.p',unknown),
[] ).
cnf(26,plain,
equal(sum(A,B,add(B,A)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),2]),
[iquote('para(3,5),demod([2])')] ).
cnf(33,plain,
equal(ifeq2(sum(additive_identity,A,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,23]),1]),
[iquote('para(7,23),demod([1])')] ).
cnf(40,plain,
equal(inverse(additive_identity),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,33]),1]),1]),
[iquote('para(20,33),demod([1]),flip(1)')] ).
cnf(44,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,B,multiplicative_identity),true,sum(E,C,A),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,11]),2]),
[iquote('para(10,11),demod([2])')] ).
cnf(60,plain,
equal(add(A,additive_identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,33]),1]),
[iquote('para(26,33),demod([1])')] ).
cnf(100,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(D,B,E),true,ifeq(sum(D,A,F),true,product(F,E,add(D,C)),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,15]),2]),
[iquote('para(3,15),demod([2])')] ).
cnf(133,plain,
equal(ifeq2(product(A,multiplicative_identity,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,24]),1]),
[iquote('para(10,24),demod([1])')] ).
cnf(513,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(B,multiplicative_identity,multiplicative_identity),true,sum(C,A,A),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,44]),2]),
[iquote('para(10,44),demod([2])')] ).
cnf(961,plain,
equal(ifeq(sum(multiplicative_identity,multiplicative_identity,multiplicative_identity),true,sum(A,A,A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,513]),2]),
[iquote('para(10,513),demod([2])')] ).
cnf(1257,plain,
equal(ifeq(sum(A,B,C),true,ifeq(sum(A,inverse(B),D),true,product(D,C,A),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,100]),60,2]),
[iquote('para(21,100),demod([60,2])')] ).
cnf(1262,plain,
equal(ifeq(sum(A,additive_identity,B),true,ifeq(sum(A,multiplicative_identity,C),true,product(C,B,A),true),true),true),
inference(para,[status(thm),theory(equality)],[40,1257]),
[iquote('para(40,1257)')] ).
cnf(1396,plain,
equal(ifeq(sum(A,multiplicative_identity,B),true,product(B,A,A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,1262]),2]),
[iquote('para(8,1262),demod([2])')] ).
cnf(1397,plain,
equal(product(add(A,multiplicative_identity),A,A),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,1396]),2]),
[iquote('para(3,1396),demod([2])')] ).
cnf(1399,plain,
equal(add(multiplicative_identity,multiplicative_identity),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1397,133]),1]),1]),
[iquote('para(1397,133),demod([1]),flip(1)')] ).
cnf(1400,plain,
equal(sum(multiplicative_identity,multiplicative_identity,multiplicative_identity),true),
inference(para,[status(thm),theory(equality)],[1399,3]),
[iquote('para(1399,3)')] ).
cnf(1401,plain,
equal(sum(A,A,A),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[961]),1400,2]),
[iquote('back_demod(961),demod([1400,2])')] ).
cnf(1402,plain,
$false,
inference(conflict,[status(thm)],[1401,25]),
[iquote('conflict(1401,25)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n021.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 : Wed Jun 1 23:14:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.07 ----- EQP 0.9e, May 2009 -----
% 0.41/1.07 The job began on n021.cluster.edu, Wed Jun 1 23:14:47 2022
% 0.41/1.07 The command was "./eqp09e".
% 0.41/1.07
% 0.41/1.07 set(prolog_style_variables).
% 0.41/1.07 set(lrpo).
% 0.41/1.07 set(basic_paramod).
% 0.41/1.07 set(functional_subsume).
% 0.41/1.07 set(ordered_paramod).
% 0.41/1.07 set(prime_paramod).
% 0.41/1.07 set(para_pairs).
% 0.41/1.07 assign(pick_given_ratio,4).
% 0.41/1.07 clear(print_kept).
% 0.41/1.07 clear(print_new_demod).
% 0.41/1.07 clear(print_back_demod).
% 0.41/1.07 clear(print_given).
% 0.41/1.07 assign(max_mem,64000).
% 0.41/1.07 end_of_commands.
% 0.41/1.07
% 0.41/1.07 Usable:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Sos:
% 0.41/1.07 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.41/1.07 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.41/1.07 0 (wt=-1) [] sum(A,B,add(A,B)) = true.
% 0.41/1.07 0 (wt=-1) [] product(A,B,multiply(A,B)) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.41/1.07 0 (wt=-1) [] sum(additive_identity,A,A) = true.
% 0.41/1.07 0 (wt=-1) [] sum(A,additive_identity,A) = true.
% 0.41/1.07 0 (wt=-1) [] product(multiplicative_identity,A,A) = true.
% 0.41/1.07 0 (wt=-1) [] product(A,multiplicative_identity,A) = true.
% 0.41/1.07 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.
% 0.41/1.07 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.
% 0.41/1.07 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.
% 0.41/1.07 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.
% 0.41/1.07 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.41/1.07 0 (wt=-1) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.41/1.07 0 (wt=-1) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.41/1.07 0 (wt=-1) [] product(inverse(A),A,additive_identity) = true.
% 0.41/1.07 0 (wt=-1) [] product(A,inverse(A),additive_identity) = true.
% 0.41/1.07 0 (wt=-1) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.41/1.07 0 (wt=-1) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.41/1.07 0 (wt=-1) [] -(sum(x,x,x) = true).
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Demodulators:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Passive:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Starting to process input.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.41/1.07 1 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.41/1.07 2 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.41/1.07 3 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.41/1.07 4 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.41/1.07 5 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.41/1.07 6 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.41/1.07 7 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.41/1.07 8 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.41/1.07 9 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.41/1.07 10 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 11 (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.
% 0.41/1.07 11 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 12 (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.
% 0.41/1.07 12 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 13 (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.
% 0.41/1.07 13 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 14 (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.
% 0.41/1.07 14 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 15 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.41/1.07 16 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 17 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.41/1.07 18 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.41/1.07 19 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.41/1.07 20 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.41/1.07 21 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.41/1.07 22 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.41/1.07 23 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.41/1.07 24 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 25 (wt=6) [] -(sum(x,x,x) = true).
% 0.41/1.07
% 0.41/1.07 After processing input:
% 0.41/1.07
% 0.41/1.07 Usable:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Sos:
% 0.41/1.07 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.41/1.07 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.41/1.07 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.41/1.07 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.41/1.07 25 (wt=6) [] -(sum(x,x,x) = true).
% 0.41/1.07 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.41/1.07 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.41/1.07 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.41/1.07 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.41/1.07 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.41/1.07 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.41/1.07 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.41/1.07 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.41/1.07 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.41/1.07 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.41/1.07 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.41/1.07 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.41/1.07 11 (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.
% 0.41/1.07 12 (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.
% 0.41/1.07 13 (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.
% 0.41/1.07 14 (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.
% 0.41/1.07 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.41/1.07 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.41/1.07 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Demodulators:
% 0.41/1.07 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.41/1.07 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.41/1.07 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.41/1.07 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.41/1.07 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.41/1.07 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.41/1.07 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.41/1.07 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.71/1.37 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.71/1.37 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.71/1.37 11 (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.
% 0.71/1.37 12 (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.
% 0.71/1.37 13 (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.
% 0.71/1.37 14 (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.
% 0.71/1.37 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.71/1.37 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.71/1.37 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.71/1.37 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.71/1.37 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.71/1.37 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.71/1.37 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.71/1.37 22 (wt=7) [] ---------------- PROOF FOUND ----------------
% 0.71/1.37 % SZS status Unsatisfiable
% 0.71/1.37
% 0.71/1.37 product(A,inverse(A),additive_identity) = true.
% 0.71/1.37 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.71/1.37 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.71/1.37 end_of_list.
% 0.71/1.37
% 0.71/1.37 Passive:
% 0.71/1.37 end_of_list.
% 0.71/1.37
% 0.71/1.37 UNIT CONFLICT from 1401 and 25 at 0.15 seconds.
% 0.71/1.37
% 0.71/1.37 ---------------- PROOF ----------------
% 0.71/1.37 % SZS output start Refutation
% See solution above
% 0.71/1.38 ------------ end of proof -------------
% 0.71/1.38
% 0.71/1.38
% 0.71/1.38 ------------- memory usage ------------
% 0.71/1.38 Memory dynamically allocated (tp_alloc): 2441.
% 0.71/1.38 type (bytes each) gets frees in use avail bytes
% 0.71/1.38 sym_ent ( 96) 71 0 71 0 6.7 K
% 0.71/1.38 term ( 16) 125598 94275 31323 36 607.0 K
% 0.71/1.38 gen_ptr ( 8) 146391 19007 127384 30 995.4 K
% 0.71/1.38 context ( 808) 720533 720531 2 2 3.2 K
% 0.71/1.38 trail ( 12) 12257 12257 0 7 0.1 K
% 0.71/1.38 bt_node ( 68) 541218 541215 3 29 2.1 K
% 0.71/1.38 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.38 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.38 ac_match_free_vars_pos (4020)
% 0.71/1.38 0 0 0 0 0.0 K
% 0.71/1.38 discrim ( 12) 29239 908 28331 230 334.7 K
% 0.71/1.38 flat ( 40) 212039 212039 0 33 1.3 K
% 0.71/1.38 discrim_pos ( 12) 5843 5843 0 1 0.0 K
% 0.71/1.38 fpa_head ( 12) 1449 0 1449 0 17.0 K
% 0.71/1.38 fpa_tree ( 28) 21537 21537 0 25 0.7 K
% 0.71/1.38 fpa_pos ( 36) 2798 2798 0 1 0.0 K
% 0.71/1.38 literal ( 12) 5652 4251 1401 1 16.4 K
% 0.71/1.38 clause ( 24) 5652 4251 1401 1 32.9 K
% 0.71/1.38 list ( 12) 1456 1399 57 2 0.7 K
% 0.71/1.38 list_pos ( 20) 5750 345 5405 71 107.0 K
% 0.71/1.38 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.38
% 0.71/1.38 -------------- statistics -------------
% 0.71/1.38 Clauses input 25
% 0.71/1.38 Usable input 0
% 0.71/1.38 Sos input 25
% 0.71/1.38 Demodulators input 0
% 0.71/1.38 Passive input 0
% 0.71/1.38
% 0.71/1.38 Processed BS (before search) 25
% 0.71/1.38 Forward subsumed BS 0
% 0.71/1.38 Kept BS 25
% 0.71/1.38 New demodulators BS 24
% 0.71/1.38 Back demodulated BS 0
% 0.71/1.38
% 0.71/1.38 Clauses or pairs given 27398
% 0.71/1.38 Clauses generated 4215
% 0.71/1.38 Forward subsumed 2839
% 0.71/1.38 Deleted by weight 0
% 0.71/1.38 Deleted by variable count 0
% 0.71/1.38 Kept 1376
% 0.71/1.38 New demodulators 1373
% 0.71/1.38 Back demodulated 64
% 0.71/1.38 Ordered paramod prunes 0
% 0.71/1.38 Basic paramod prunes 46074
% 0.71/1.38 Prime paramod prunes 673
% 0.71/1.38 Semantic prunes 0
% 0.71/1.38
% 0.71/1.38 Rewrite attmepts 56247
% 0.71/1.38 Rewrites 5158
% 0.71/1.38
% 0.71/1.38 FPA overloads 0
% 0.71/1.38 FPA underloads 0
% 0.71/1.38
% 0.71/1.38 Usable size 0
% 0.71/1.38 Sos size 1336
% 0.71/1.38 Demodulators size 1333
% 0.71/1.38 Passive size 0
% 0.71/1.38 Disabled size 64
% 0.71/1.38
% 0.71/1.38 Proofs found 1
% 0.71/1.38
% 0.71/1.38 ----------- times (seconds) ----------- Wed Jun 1 23:14:47 2022
% 0.71/1.38
% 0.71/1.38 user CPU time 0.15 (0 hr, 0 min, 0 sec)
% 0.71/1.38 system CPU time 0.16 (0 hr, 0 min, 0 sec)
% 0.71/1.38 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.38 input time 0.00
% 0.71/1.38 paramodulation time 0.06
% 0.71/1.38 demodulation time 0.01
% 0.71/1.38 orient time 0.00
% 0.71/1.38 weigh time 0.00
% 0.71/1.38 forward subsume time 0.00
% 0.71/1.38 back demod find time 0.03
% 0.71/1.38 conflict time 0.00
% 0.71/1.38 LRPO time 0.00
% 0.71/1.38 store clause time 0.01
% 0.71/1.38 disable clause time 0.00
% 0.71/1.38 prime paramod time 0.01
% 0.71/1.38 semantics time 0.00
% 0.71/1.38
% 0.71/1.38 EQP interrupted
%------------------------------------------------------------------------------