TSTP Solution File: BOO072-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Thu Jul 14 23:48:07 EDT 2022
% Result : Unsatisfiable 0.87s 1.16s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.28 % Computer : n027.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 1 20:34:04 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.87/1.16 ============================== Prover9 ===============================
% 0.87/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.87/1.16 Process 7933 was started by sandbox2 on n027.cluster.edu,
% 0.87/1.16 Wed Jun 1 20:34:04 2022
% 0.87/1.16 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7779_n027.cluster.edu".
% 0.87/1.16 ============================== end of head ===========================
% 0.87/1.16
% 0.87/1.16 ============================== INPUT =================================
% 0.87/1.16
% 0.87/1.16 % Reading from file /tmp/Prover9_7779_n027.cluster.edu
% 0.87/1.16
% 0.87/1.16 set(prolog_style_variables).
% 0.87/1.16 set(auto2).
% 0.87/1.16 % set(auto2) -> set(auto).
% 0.87/1.16 % set(auto) -> set(auto_inference).
% 0.87/1.16 % set(auto) -> set(auto_setup).
% 0.87/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.87/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.87/1.16 % set(auto) -> set(auto_limits).
% 0.87/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.87/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.87/1.16 % set(auto) -> set(auto_denials).
% 0.87/1.16 % set(auto) -> set(auto_process).
% 0.87/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.87/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.87/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.87/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.87/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.87/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.87/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.87/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.87/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.87/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.87/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.87/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.87/1.16 % set(auto2) -> assign(stats, some).
% 0.87/1.16 % set(auto2) -> clear(echo_input).
% 0.87/1.16 % set(auto2) -> set(quiet).
% 0.87/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.87/1.16 % set(auto2) -> clear(print_given).
% 0.87/1.16 assign(lrs_ticks,-1).
% 0.87/1.16 assign(sos_limit,10000).
% 0.87/1.16 assign(order,kbo).
% 0.87/1.16 set(lex_order_vars).
% 0.87/1.16 clear(print_given).
% 0.87/1.16
% 0.87/1.16 % formulas(sos). % not echoed (2 formulas)
% 0.87/1.16
% 0.87/1.16 ============================== end of input ==========================
% 0.87/1.16
% 0.87/1.16 % From the command line: assign(max_seconds, 300).
% 0.87/1.16
% 0.87/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.87/1.16
% 0.87/1.16 % Formulas that are not ordinary clauses:
% 0.87/1.16
% 0.87/1.16 ============================== end of process non-clausal formulas ===
% 0.87/1.16
% 0.87/1.16 ============================== PROCESS INITIAL CLAUSES ===============
% 0.87/1.16
% 0.87/1.16 ============================== PREDICATE ELIMINATION =================
% 0.87/1.16
% 0.87/1.16 ============================== end predicate elimination =============
% 0.87/1.16
% 0.87/1.16 Auto_denials:
% 0.87/1.16 % copying label huntinton_1 to answer in negative clause
% 0.87/1.16
% 0.87/1.16 Term ordering decisions:
% 0.87/1.16
% 0.87/1.16 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 0.87/1.16 Function symbol KB weights: a=1. b=1. add=1. inverse=0.
% 0.87/1.16
% 0.87/1.16 ============================== end of process initial clauses ========
% 0.87/1.16
% 0.87/1.16 ============================== CLAUSES FOR SEARCH ====================
% 0.87/1.16
% 0.87/1.16 ============================== end of clauses for search =============
% 0.87/1.16
% 0.87/1.16 ============================== SEARCH ================================
% 0.87/1.16
% 0.87/1.16 % Starting search at 0.01 seconds.
% 0.87/1.16
% 0.87/1.16 ============================== PROOF =================================
% 0.87/1.16 % SZS status Unsatisfiable
% 0.87/1.16 % SZS output start Refutation
% 0.87/1.16
% 0.87/1.16 % Proof 1 at 0.26 (+ 0.00) seconds: huntinton_1.
% 0.87/1.16 % Length of proof is 32.
% 0.87/1.16 % Level of proof is 14.
% 0.87/1.16 % Maximum clause weight is 28.000.
% 0.87/1.16 % Given clauses 80.
% 0.87/1.16
% 0.87/1.16 1 inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = C # label(dn1) # label(axiom). [assumption].
% 0.87/1.16 2 add(b,a) != add(a,b) # label(huntinton_1) # label(negated_conjecture) # answer(huntinton_1). [assumption].
% 0.87/1.16 3 add(b,a) = c_0. [new_symbol(2)].
% 0.87/1.16 4 add(a,b) != c_0 # answer(huntinton_1). [back_rewrite(2),rewrite([3(3)]),flip(a)].
% 0.87/1.16 5 inverse(add(inverse(add(A,B)),inverse(add(inverse(add(inverse(add(C,D)),A)),inverse(add(inverse(B),inverse(add(B,E)))))))) = B. [para(1(a,1),1(a,1,1,1,1,1))].
% 0.87/1.16 11 inverse(add(inverse(add(inverse(add(A,B)),b)),inverse(add(A,inverse(add(inverse(b),inverse(c_0))))))) = b. [para(3(a,1),1(a,1,1,2,1,2,1,2,1))].
% 0.87/1.16 20 inverse(add(inverse(add(A,inverse(A))),A)) = inverse(A). [para(1(a,1),5(a,1,1,2))].
% 0.87/1.16 26 inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(A,B)))))))) = A. [para(20(a,1),1(a,1,1,1))].
% 0.87/1.16 35 inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C. [para(26(a,1),1(a,1,1,2,1,2))].
% 0.87/1.16 53 inverse(add(A,inverse(add(inverse(add(B,C)),inverse(add(inverse(inverse(add(B,A))),inverse(add(inverse(add(B,A)),D)))))))) = inverse(add(B,A)). [para(35(a,1),1(a,1,1,1))].
% 0.87/1.16 59 inverse(add(inverse(add(inverse(c_0),A)),inverse(add(b,A)))) = A. [para(3(a,1),35(a,1,1,1,1,1,1))].
% 0.87/1.16 60 inverse(add(inverse(add(inverse(add(b,A)),a)),inverse(c_0))) = a. [para(3(a,1),35(a,1,1,2,1))].
% 0.87/1.16 65 inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))) = B. [para(26(a,1),35(a,1,1,1,1,1))].
% 0.87/1.16 108 inverse(add(inverse(add(inverse(c_0),a)),inverse(c_0))) = a. [para(3(a,1),59(a,1,1,2,1))].
% 0.87/1.16 129 inverse(add(a,inverse(add(inverse(c_0),inverse(c_0))))) = inverse(c_0). [para(108(a,1),35(a,1,1,1))].
% 0.87/1.16 149 inverse(add(a,inverse(add(inverse(add(b,A)),inverse(c_0))))) = inverse(c_0). [para(60(a,1),35(a,1,1,1))].
% 0.87/1.16 212 inverse(add(inverse(add(add(A,inverse(A)),A)),inverse(A))) = A. [para(20(a,1),65(a,1,1,2))].
% 0.87/1.16 223 inverse(add(A,inverse(add(B,inverse(add(inverse(B),A)))))) = inverse(add(inverse(B),A)). [para(65(a,1),35(a,1,1,1))].
% 0.87/1.16 308 inverse(add(A,inverse(add(add(A,inverse(A)),inverse(A))))) = inverse(A). [para(212(a,1),35(a,1,1,1))].
% 0.87/1.16 486 inverse(add(inverse(A),inverse(A))) = A. [para(308(a,1),26(a,1,1,2,1,2,1,2)),rewrite([223(9)])].
% 0.87/1.16 503 inverse(add(a,c_0)) = inverse(c_0). [para(129(a,1),308(a,2)),rewrite([486(7),486(10),486(13),486(18),308(19)])].
% 0.87/1.16 529 inverse(add(a,inverse(add(inverse(b),inverse(c_0))))) = inverse(c_0). [para(308(a,1),149(a,1,1,2,1,1))].
% 0.87/1.16 556 add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) = inverse(add(C,C)). [para(1(a,1),486(a,1,1,1)),rewrite([1(13)]),flip(a)].
% 0.87/1.16 595 add(a,inverse(add(inverse(add(b,A)),inverse(c_0)))) = c_0. [para(149(a,1),486(a,1,1,1)),rewrite([149(12),486(6)]),flip(a)].
% 0.87/1.16 603 add(a,c_0) = c_0. [para(503(a,1),486(a,1,1,1)),rewrite([503(6),486(6)]),flip(a)].
% 0.87/1.16 604 inverse(add(A,A)) = add(inverse(A),inverse(A)). [para(486(a,1),486(a,1,1,1)),rewrite([486(4)])].
% 0.87/1.16 636 add(inverse(inverse(A)),inverse(inverse(A))) = A. [back_rewrite(1),rewrite([556(12),604(2),604(4)])].
% 0.87/1.16 678 inverse(add(inverse(add(inverse(c_0),b)),inverse(c_0))) = b. [para(603(a,1),11(a,1,1,1,1,1,1)),rewrite([529(14)])].
% 0.87/1.16 790 add(inverse(add(inverse(c_0),b)),inverse(c_0)) = add(inverse(b),inverse(b)). [para(678(a,1),636(a,1,1,1)),rewrite([678(11)]),flip(a)].
% 0.87/1.16 911 add(a,inverse(add(inverse(add(A,b)),inverse(c_0)))) = c_0. [para(53(a,1),595(a,1,2,1,1))].
% 0.87/1.16 954 add(a,b) = c_0. [para(790(a,1),911(a,1,2,1)),rewrite([604(7),636(8)])].
% 0.87/1.16 955 $F # answer(huntinton_1). [resolve(954,a,4,a)].
% 0.87/1.16
% 0.87/1.16 % SZS output end Refutation
% 0.87/1.16 ============================== end of proof ==========================
% 0.87/1.16
% 0.87/1.16 ============================== STATISTICS ============================
% 0.87/1.16
% 0.87/1.16 Given=80. Generated=2897. Kept=954. proofs=1.
% 0.87/1.16 Usable=25. Sos=439. Demods=463. Limbo=0, Disabled=491. Hints=0.
% 0.87/1.16 Megabytes=2.26.
% 0.87/1.16 User_CPU=0.26, System_CPU=0.00, Wall_clock=1.
% 0.87/1.16
% 0.87/1.16 ============================== end of statistics =====================
% 0.87/1.16
% 0.87/1.16 ============================== end of search =========================
% 0.87/1.16
% 0.87/1.16 THEOREM PROVED
% 0.87/1.16 % SZS status Unsatisfiable
% 0.87/1.16
% 0.87/1.16 Exiting with 1 proof.
% 0.87/1.16
% 0.87/1.16 Process 7933 exit (max_proofs) Wed Jun 1 20:34:05 2022
% 0.87/1.16 Prover9 interrupted
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