TSTP Solution File: ROB005-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ROB005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %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 20:55:27 EDT 2022
% Result : Unsatisfiable 3.77s 4.03s
% Output : Refutation 3.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n027.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 : Thu Jun 9 14:49:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.77/4.03 ============================== Prover9 ===============================
% 3.77/4.03 Prover9 (32) version 2009-11A, November 2009.
% 3.77/4.03 Process 3464 was started by sandbox on n027.cluster.edu,
% 3.77/4.03 Thu Jun 9 14:49:13 2022
% 3.77/4.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3308_n027.cluster.edu".
% 3.77/4.03 ============================== end of head ===========================
% 3.77/4.03
% 3.77/4.03 ============================== INPUT =================================
% 3.77/4.03
% 3.77/4.03 % Reading from file /tmp/Prover9_3308_n027.cluster.edu
% 3.77/4.03
% 3.77/4.03 set(prolog_style_variables).
% 3.77/4.03 set(auto2).
% 3.77/4.03 % set(auto2) -> set(auto).
% 3.77/4.03 % set(auto) -> set(auto_inference).
% 3.77/4.03 % set(auto) -> set(auto_setup).
% 3.77/4.03 % set(auto_setup) -> set(predicate_elim).
% 3.77/4.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.77/4.03 % set(auto) -> set(auto_limits).
% 3.77/4.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.77/4.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.77/4.03 % set(auto) -> set(auto_denials).
% 3.77/4.03 % set(auto) -> set(auto_process).
% 3.77/4.03 % set(auto2) -> assign(new_constants, 1).
% 3.77/4.03 % set(auto2) -> assign(fold_denial_max, 3).
% 3.77/4.03 % set(auto2) -> assign(max_weight, "200.000").
% 3.77/4.03 % set(auto2) -> assign(max_hours, 1).
% 3.77/4.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.77/4.03 % set(auto2) -> assign(max_seconds, 0).
% 3.77/4.03 % set(auto2) -> assign(max_minutes, 5).
% 3.77/4.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.77/4.03 % set(auto2) -> set(sort_initial_sos).
% 3.77/4.03 % set(auto2) -> assign(sos_limit, -1).
% 3.77/4.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.77/4.03 % set(auto2) -> assign(max_megs, 400).
% 3.77/4.03 % set(auto2) -> assign(stats, some).
% 3.77/4.03 % set(auto2) -> clear(echo_input).
% 3.77/4.03 % set(auto2) -> set(quiet).
% 3.77/4.03 % set(auto2) -> clear(print_initial_clauses).
% 3.77/4.03 % set(auto2) -> clear(print_given).
% 3.77/4.03 assign(lrs_ticks,-1).
% 3.77/4.03 assign(sos_limit,10000).
% 3.77/4.03 assign(order,kbo).
% 3.77/4.03 set(lex_order_vars).
% 3.77/4.03 clear(print_given).
% 3.77/4.03
% 3.77/4.03 % formulas(sos). % not echoed (5 formulas)
% 3.77/4.03
% 3.77/4.03 ============================== end of input ==========================
% 3.77/4.03
% 3.77/4.03 % From the command line: assign(max_seconds, 300).
% 3.77/4.03
% 3.77/4.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.77/4.03
% 3.77/4.03 % Formulas that are not ordinary clauses:
% 3.77/4.03
% 3.77/4.03 ============================== end of process non-clausal formulas ===
% 3.77/4.03
% 3.77/4.03 ============================== PROCESS INITIAL CLAUSES ===============
% 3.77/4.03
% 3.77/4.03 ============================== PREDICATE ELIMINATION =================
% 3.77/4.03
% 3.77/4.03 ============================== end predicate elimination =============
% 3.77/4.03
% 3.77/4.03 Auto_denials:
% 3.77/4.03 % copying label prove_huntingtons_axiom to answer in negative clause
% 3.77/4.03
% 3.77/4.03 Term ordering decisions:
% 3.77/4.03
% 3.77/4.03 % Assigning unary symbol negate kb_weight 0 and highest precedence (6).
% 3.77/4.03 Function symbol KB weights: c=1. a=1. b=1. add=1. negate=0.
% 3.77/4.03
% 3.77/4.03 ============================== end of process initial clauses ========
% 3.77/4.03
% 3.77/4.03 ============================== CLAUSES FOR SEARCH ====================
% 3.77/4.03
% 3.77/4.03 ============================== end of clauses for search =============
% 3.77/4.03
% 3.77/4.03 ============================== SEARCH ================================
% 3.77/4.03
% 3.77/4.03 % Starting search at 0.01 seconds.
% 3.77/4.03
% 3.77/4.03 ============================== PROOF =================================
% 3.77/4.03 % SZS status Unsatisfiable
% 3.77/4.04 % SZS output start Refutation
% 3.77/4.04
% 3.77/4.04 % Proof 1 at 3.07 (+ 0.03) seconds: prove_huntingtons_axiom.
% 3.77/4.04 % Length of proof is 87.
% 3.77/4.04 % Level of proof is 28.
% 3.77/4.04 % Maximum clause weight is 37.000.
% 3.77/4.04 % Given clauses 232.
% 3.77/4.04
% 3.77/4.04 1 add(c,c) = c # label(idempotence) # label(hypothesis). [assumption].
% 3.77/4.04 2 add(A,B) = add(B,A) # label(commutativity_of_add) # label(axiom). [assumption].
% 3.77/4.04 3 add(add(A,B),C) = add(A,add(B,C)) # label(associativity_of_add) # label(axiom). [assumption].
% 3.77/4.04 4 add(A,add(B,C)) = add(C,add(A,B)). [copy(3),rewrite([2(2)]),flip(a)].
% 3.77/4.04 5 negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A # label(robbins_axiom) # label(axiom). [assumption].
% 3.77/4.04 6 add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b # label(prove_huntingtons_axiom) # label(negated_conjecture) # answer(prove_huntingtons_axiom). [assumption].
% 3.77/4.04 7 negate(add(negate(c),negate(add(c,negate(c))))) = c. [para(1(a,1),5(a,1,1,1,1))].
% 3.77/4.04 8 negate(add(negate(add(A,B)),negate(add(B,negate(A))))) = B. [para(2(a,1),5(a,1,1,1,1))].
% 3.77/4.04 9 negate(add(negate(add(A,add(B,C))),negate(add(B,negate(add(A,C)))))) = B. [para(4(a,1),5(a,1,1,1,1)),rewrite([2(4)])].
% 3.77/4.04 10 negate(add(negate(add(A,add(B,C))),negate(add(C,negate(add(A,B)))))) = C. [para(4(a,2),5(a,1,1,1,1))].
% 3.77/4.04 11 negate(add(A,negate(add(negate(add(A,B)),negate(negate(add(A,negate(B)))))))) = negate(add(A,B)). [para(5(a,1),5(a,1,1,1))].
% 3.77/4.04 12 negate(add(negate(add(A,B)),negate(add(A,add(negate(add(B,C)),negate(add(B,negate(C)))))))) = A. [para(5(a,1),5(a,1,1,2,1,2)),rewrite([2(11)])].
% 3.77/4.04 15 negate(add(negate(add(A,c)),negate(add(A,add(negate(c),negate(add(c,negate(c)))))))) = A. [para(7(a,1),5(a,1,1,2,1,2)),rewrite([2(14)])].
% 3.77/4.04 16 negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(c). [para(7(a,1),5(a,1,1,2)),rewrite([4(7,R),2(10)])].
% 3.77/4.04 17 negate(add(negate(add(A,add(B,C))),negate(add(add(A,C),negate(B))))) = add(A,C). [para(4(a,1),8(a,1,1,1,1)),rewrite([2(4),2(10)])].
% 3.77/4.04 19 negate(add(negate(add(A,B)),negate(add(A,add(negate(add(C,B)),negate(add(B,negate(C)))))))) = A. [para(8(a,1),5(a,1,1,2,1,2)),rewrite([2(11)])].
% 3.77/4.04 20 negate(add(A,negate(add(add(A,negate(B)),negate(add(B,A)))))) = negate(add(B,A)). [para(8(a,1),5(a,1,1,2)),rewrite([2(5),2(7)])].
% 3.77/4.04 22 negate(add(negate(add(A,B)),negate(add(B,add(negate(add(A,C)),negate(add(A,negate(C)))))))) = B. [para(5(a,1),8(a,1,1,2,1,2)),rewrite([2(7),2(9),2(11)])].
% 3.77/4.04 26 negate(add(negate(add(A,negate(c))),negate(add(A,add(c,negate(add(c,add(negate(c),negate(c))))))))) = A. [para(16(a,1),5(a,1,1,2,1,2)),rewrite([2(17)])].
% 3.77/4.04 27 negate(add(negate(c),negate(add(c,add(c,add(negate(c),negate(c))))))) = c. [para(16(a,1),5(a,1,1,2)),rewrite([2(13)])].
% 3.77/4.04 28 negate(add(negate(c),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))) = negate(add(c,add(negate(c),negate(c)))). [para(16(a,1),8(a,1,1,1)),rewrite([2(13)])].
% 3.77/4.04 33 negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) = c. [para(4(a,1),27(a,1,1,2,1)),rewrite([1(10),2(9)])].
% 3.77/4.04 36 negate(add(c,negate(add(c,add(c,add(negate(c),add(negate(c),negate(c)))))))) = negate(c). [para(27(a,1),5(a,1,1,2)),rewrite([4(12,R),2(11),4(11,R),2(10),2(15)])].
% 3.77/4.04 38 negate(add(c,add(negate(c),negate(c)))) = negate(add(c,negate(c))). [back_rewrite(28),rewrite([33(14),2(4)]),flip(a)].
% 3.77/4.04 39 negate(add(negate(add(A,negate(c))),negate(add(A,add(c,negate(add(c,negate(c)))))))) = A. [back_rewrite(26),rewrite([38(13)])].
% 3.77/4.04 41 negate(add(c,negate(add(c,negate(c))))) = negate(c). [back_rewrite(16),rewrite([38(9)])].
% 3.77/4.04 47 negate(add(A,negate(add(A,add(negate(B),negate(add(A,B))))))) = negate(add(A,B)). [para(5(a,1),9(a,1,1,2)),rewrite([2(4),2(7)])].
% 3.77/4.04 49 negate(add(negate(c),negate(add(c,add(c,negate(c)))))) = c. [para(41(a,1),5(a,1,1,2)),rewrite([2(10)])].
% 3.77/4.04 52 negate(add(c,negate(add(c,add(c,add(negate(c),negate(c))))))) = negate(c). [para(49(a,1),5(a,1,1,2)),rewrite([4(9,R),2(8),4(8,R),2(12)])].
% 3.77/4.04 72 negate(add(negate(c),negate(add(c,add(c,add(c,add(negate(c),negate(c)))))))) = c. [para(52(a,1),5(a,1,1,2)),rewrite([2(15)])].
% 3.77/4.04 73 negate(add(c,add(c,add(negate(c),negate(c))))) = negate(add(c,negate(c))). [para(52(a,1),8(a,1,1,1)),rewrite([2(15),27(16),2(4)]),flip(a)].
% 3.77/4.04 75 negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = add(c,add(negate(c),negate(c))). [para(73(a,1),8(a,1,1,1)),rewrite([2(15),4(15,R),2(14)])].
% 3.77/4.04 145 negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))))) = negate(c). [para(41(a,1),20(a,1,1,2,1,2)),rewrite([2(13),2(16),41(27)])].
% 3.77/4.04 156 negate(add(negate(add(A,B)),negate(add(A,add(A,add(negate(B),negate(add(A,B)))))))) = A. [para(47(a,1),5(a,1,1,2)),rewrite([2(10)])].
% 3.77/4.04 306 negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = c. [para(1(a,1),15(a,1,1,1,1))].
% 3.77/4.04 323 negate(add(negate(add(A,add(B,C))),negate(add(A,add(C,negate(B)))))) = add(A,C). [para(2(a,1),17(a,1,1,2,1)),rewrite([4(6),2(5),4(6,R),2(5)])].
% 3.77/4.04 375 negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(add(c,negate(c))))))))) = negate(c). [para(306(a,1),5(a,1,1,2)),rewrite([4(13,R),2(12),2(16)])].
% 3.77/4.04 487 negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(c). [para(4(a,1),36(a,1,1,2,1)),rewrite([1(12),2(11)])].
% 3.77/4.04 491 negate(add(negate(c),negate(add(negate(c),negate(add(c,add(c,add(negate(c),add(negate(c),negate(c)))))))))) = negate(add(c,add(c,add(negate(c),add(negate(c),negate(c)))))). [para(36(a,1),8(a,1,1,1)),rewrite([2(18)])].
% 3.77/4.04 508 negate(add(negate(c),negate(add(c,add(c,add(negate(c),add(negate(c),negate(c)))))))) = c. [para(487(a,1),5(a,1,1,2)),rewrite([2(16)])].
% 3.77/4.04 524 negate(add(c,add(c,add(negate(c),add(negate(c),negate(c)))))) = negate(add(c,negate(c))). [back_rewrite(491),rewrite([508(19),2(4)]),flip(a)].
% 3.77/4.04 704 negate(add(negate(add(c,negate(c))),negate(add(c,add(c,negate(c)))))) = add(c,negate(c)). [para(38(a,1),323(a,1,1,2)),rewrite([2(13)])].
% 3.77/4.04 850 negate(add(negate(add(A,B)),negate(add(A,add(negate(add(B,C)),negate(add(B,add(negate(add(D,C)),negate(add(C,add(negate(add(D,E)),negate(add(D,negate(E)))))))))))))) = A. [para(22(a,1),12(a,1,1,2,1,2,2,1,2)),rewrite([2(18)])].
% 3.77/4.04 1065 negate(add(c,add(negate(c),add(negate(c),negate(c))))) = negate(add(c,negate(c))). [para(4(a,1),524(a,1,1)),rewrite([1(11),2(10)])].
% 3.77/4.04 1084 negate(add(negate(add(c,negate(c))),negate(add(c,negate(c))))) = add(c,add(negate(c),negate(c))). [back_rewrite(75),rewrite([1065(16)])].
% 3.77/4.04 1086 negate(add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = add(negate(c),negate(c)). [para(1065(a,1),10(a,1,1,1))].
% 3.77/4.04 1213 add(c,add(negate(c),negate(c))) = add(c,negate(c)). [para(4(a,1),704(a,1,1,2,1)),rewrite([1(10),2(9),1084(12)])].
% 3.77/4.04 1239 negate(add(negate(add(c,negate(c))),negate(add(c,negate(c))))) = add(c,negate(c)). [back_rewrite(1084),rewrite([1213(19)])].
% 3.77/4.04 1274 negate(add(c,add(c,negate(c)))) = negate(add(c,negate(c))). [back_rewrite(73),rewrite([1213(8)])].
% 3.77/4.04 1275 negate(add(negate(c),negate(add(c,add(c,add(c,negate(c))))))) = c. [back_rewrite(72),rewrite([1213(11)])].
% 3.77/4.04 1327 negate(add(c,add(c,add(c,negate(c))))) = negate(add(c,negate(c))). [para(1275(a,1),11(a,1,1,2,1,2,1)),rewrite([4(13,R),2(12),4(12,R),2(11),4(11,R),1213(11),2(14),1275(15),2(4),4(16,R),2(15),4(15,R),2(14),4(14,R),1213(14)]),flip(a)].
% 3.77/4.04 1330 add(c,add(c,negate(c))) = add(c,negate(c)). [para(1327(a,1),8(a,1,1,1)),rewrite([2(14),4(14,R),2(13),4(13,R),1213(13),1274(12),1239(12)]),flip(a)].
% 3.77/4.04 1622 negate(add(negate(add(A,B)),negate(add(B,add(B,add(negate(A),negate(add(A,B)))))))) = B. [para(2(a,1),156(a,1,1,1,1)),rewrite([2(4)])].
% 3.77/4.04 1704 negate(add(c,negate(add(c,add(add(negate(c),negate(c)),negate(add(c,negate(c)))))))) = negate(c). [para(4(a,1),375(a,1,1,2,1,2)),rewrite([2(13)])].
% 3.77/4.04 2996 negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(add(c,negate(c)),add(add(c,negate(c)),negate(add(c,negate(c))))))))) = add(c,negate(c)). [para(1330(a,1),1622(a,1,1,1,1)),rewrite([1330(21),4(22,R),2(21),4(23,R),2(22)])].
% 3.77/4.04 3045 negate(add(negate(c),negate(add(negate(c),negate(add(c,add(add(negate(c),negate(c)),negate(add(c,negate(c)))))))))) = negate(add(c,add(add(negate(c),negate(c)),negate(add(c,negate(c)))))). [para(1704(a,1),8(a,1,1,1)),rewrite([2(19)])].
% 3.77/4.04 5449 add(negate(c),negate(c)) = negate(c). [para(4(a,1),145(a,1,1,2,1)),rewrite([2(16),1086(19)])].
% 3.77/4.04 5552 negate(add(c,add(negate(c),negate(add(c,negate(c)))))) = negate(add(c,negate(c))). [back_rewrite(3045),rewrite([5449(10),306(17),2(4),5449(11)]),flip(a)].
% 3.77/4.04 6156 add(negate(c),negate(add(c,negate(c)))) = negate(c). [para(5552(a,1),8(a,1,1,1)),rewrite([2(16),145(19)]),flip(a)].
% 3.77/4.04 6158 negate(negate(c)) = c. [para(5552(a,1),15(a,1,1,2)),rewrite([1(3),6156(8)])].
% 3.77/4.04 6159 add(c,negate(add(c,negate(c)))) = c. [para(5552(a,1),17(a,1,1,1)),rewrite([6158(15),2(14),39(17)]),flip(a)].
% 3.77/4.04 6364 add(A,negate(add(c,negate(c)))) = A. [para(6159(a,1),17(a,1,1,1,1,2)),rewrite([2(12),4(12,R),2(11),6156(11),5(9)]),flip(a)].
% 3.77/4.04 6391 negate(negate(add(c,negate(c)))) = add(c,negate(c)). [back_rewrite(2996),rewrite([6364(21),4(16),2(15),1330(15),4(14,R),5449(13),4(12,R),5449(11),6364(11)])].
% 3.77/4.04 6410 negate(add(negate(A),negate(negate(A)))) = negate(add(c,negate(c))). [para(6364(a,1),8(a,1,1,1,1)),rewrite([2(8),6364(8)])].
% 3.77/4.04 6810 negate(negate(add(negate(A),negate(A)))) = negate(A). [para(6410(a,1),5(a,1,1,2)),rewrite([6364(10)])].
% 3.77/4.04 6813 negate(add(c,negate(c))) = negate(add(A,negate(A))). [para(5(a,1),6410(a,1,1,1)),rewrite([5(7)]),flip(a)].
% 3.77/4.04 6880 add(A,negate(add(negate(B),negate(negate(B))))) = A. [para(6410(a,2),6364(a,1,2))].
% 3.77/4.04 6885 negate(negate(add(negate(A),negate(negate(A))))) = add(c,negate(c)). [para(6410(a,2),6391(a,1,1))].
% 3.77/4.04 6888 negate(add(negate(A),negate(negate(A)))) = negate(add(negate(B),negate(negate(B)))). [para(6410(a,2),6410(a,2))].
% 3.77/4.04 6893 negate(add(negate(A),negate(negate(A)))) = c_0. [new_symbol(6888)].
% 3.77/4.04 6895 add(c,negate(c)) = negate(c_0). [back_rewrite(6885),rewrite([6893(5)]),flip(a)].
% 3.77/4.04 6898 add(A,c_0) = A. [back_rewrite(6880),rewrite([6893(5)])].
% 3.77/4.04 6914 negate(negate(c_0)) = c_0. [back_rewrite(6410),rewrite([6893(5),6895(5)]),flip(a)].
% 3.77/4.04 6927 negate(add(A,negate(A))) = c_0. [back_rewrite(6813),rewrite([6895(4),6914(3)]),flip(a)].
% 3.77/4.04 7514 negate(add(c_0,negate(add(A,negate(negate(A)))))) = A. [para(6927(a,1),5(a,1,1,1))].
% 3.77/4.04 7516 negate(add(c_0,negate(add(A,A)))) = A. [para(6927(a,1),5(a,1,1,2)),rewrite([2(4)])].
% 3.77/4.04 7519 negate(add(A,add(negate(add(B,A)),negate(add(A,negate(B)))))) = c_0. [para(8(a,1),6927(a,1,1,2)),rewrite([2(7)])].
% 3.77/4.04 7553 negate(add(c_0,negate(add(negate(A),add(negate(add(A,B)),negate(add(A,negate(B)))))))) = negate(A). [para(6927(a,1),22(a,1,1,1))].
% 3.77/4.04 7703 negate(add(A,negate(add(A,A)))) = c_0. [para(7516(a,1),5(a,1,1,2)),rewrite([4(3),2(2),6898(2),2(3)])].
% 3.77/4.04 7828 negate(add(c_0,negate(add(A,add(A,A))))) = A. [para(7703(a,1),5(a,1,1,2)),rewrite([2(5)])].
% 3.77/4.04 7889 negate(negate(add(A,A))) = A. [para(5(a,1),6810(a,1,1,1,1)),rewrite([5(7),5(10)])].
% 3.77/4.04 8328 add(negate(add(A,B)),negate(add(A,negate(B)))) = negate(A). [para(5(a,1),7514(a,1,1,2,1,2,1)),rewrite([2(9),7553(12)]),flip(a)].
% 3.77/4.04 8449 add(A,A) = A. [para(7889(a,1),7514(a,1,1,2,1,2)),rewrite([2(3),7828(6)]),flip(a)].
% 3.77/4.04 8539 negate(negate(A)) = A. [back_rewrite(850),rewrite([2(5),8328(12),8328(10),8328(8),8328(6)])].
% 3.77/4.04 9111 add(negate(add(A,B)),negate(add(B,negate(A)))) = negate(B). [para(8449(a,1),19(a,1,1,2,1)),rewrite([2(7),7519(8),8(8),2(2),6898(2)]),flip(a)].
% 3.77/4.04 10098 add(negate(add(A,negate(B))),negate(add(negate(A),negate(B)))) = B. [para(8539(a,1),9111(a,2)),rewrite([2(6)])].
% 3.77/4.04 10099 $F # answer(prove_huntingtons_axiom). [resolve(10098,a,6,a)].
% 3.77/4.04
% 3.77/4.04 % SZS output end Refutation
% 3.77/4.04 ============================== end of proof ==========================
% 3.77/4.04
% 3.77/4.04 ============================== STATISTICS ============================
% 3.77/4.04
% 3.77/4.04 Given=232. Generated=39161. Kept=10097. proofs=1.
% 3.77/4.04 Usable=39. Sos=353. Demods=394. Limbo=3, Disabled=9706. Hints=0.
% 3.77/4.04 Megabytes=17.08.
% 3.77/4.04 User_CPU=3.07, System_CPU=0.03, Wall_clock=3.
% 3.77/4.04
% 3.77/4.04 ============================== end of statistics =====================
% 3.77/4.04
% 3.77/4.04 ============================== end of search =========================
% 3.77/4.04
% 3.77/4.04 THEOREM PROVED
% 3.77/4.04 % SZS status Unsatisfiable
% 3.77/4.04
% 3.77/4.04 Exiting with 1 proof.
% 3.77/4.04
% 3.77/4.04 Process 3464 exit (max_proofs) Thu Jun 9 14:49:16 2022
% 3.77/4.04 Prover9 interrupted
%------------------------------------------------------------------------------