TSTP Solution File: GRP748-5 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP748-5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 11:20:54 EDT 2022
% Result : Unsatisfiable 6.74s 7.01s
% Output : Refutation 6.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP748-5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n011.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 : Tue Jun 14 11:32:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.01/4.29 ============================== Prover9 ===============================
% 4.01/4.29 Prover9 (32) version 2009-11A, November 2009.
% 4.01/4.29 Process 15022 was started by sandbox2 on n011.cluster.edu,
% 4.01/4.29 Tue Jun 14 11:32:20 2022
% 4.01/4.29 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14869_n011.cluster.edu".
% 4.01/4.29 ============================== end of head ===========================
% 4.01/4.29
% 4.01/4.29 ============================== INPUT =================================
% 4.01/4.29
% 4.01/4.29 % Reading from file /tmp/Prover9_14869_n011.cluster.edu
% 4.01/4.29
% 4.01/4.29 set(prolog_style_variables).
% 4.01/4.29 set(auto2).
% 4.01/4.29 % set(auto2) -> set(auto).
% 4.01/4.29 % set(auto) -> set(auto_inference).
% 4.01/4.29 % set(auto) -> set(auto_setup).
% 4.01/4.29 % set(auto_setup) -> set(predicate_elim).
% 4.01/4.29 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.01/4.29 % set(auto) -> set(auto_limits).
% 4.01/4.29 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.01/4.29 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.01/4.29 % set(auto) -> set(auto_denials).
% 4.01/4.29 % set(auto) -> set(auto_process).
% 4.01/4.29 % set(auto2) -> assign(new_constants, 1).
% 4.01/4.29 % set(auto2) -> assign(fold_denial_max, 3).
% 4.01/4.29 % set(auto2) -> assign(max_weight, "200.000").
% 4.01/4.29 % set(auto2) -> assign(max_hours, 1).
% 4.01/4.29 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.01/4.29 % set(auto2) -> assign(max_seconds, 0).
% 4.01/4.29 % set(auto2) -> assign(max_minutes, 5).
% 4.01/4.29 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.01/4.29 % set(auto2) -> set(sort_initial_sos).
% 4.01/4.29 % set(auto2) -> assign(sos_limit, -1).
% 4.01/4.29 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.01/4.29 % set(auto2) -> assign(max_megs, 400).
% 4.01/4.29 % set(auto2) -> assign(stats, some).
% 4.01/4.29 % set(auto2) -> clear(echo_input).
% 4.01/4.29 % set(auto2) -> set(quiet).
% 4.01/4.29 % set(auto2) -> clear(print_initial_clauses).
% 4.01/4.29 % set(auto2) -> clear(print_given).
% 4.01/4.29 assign(lrs_ticks,-1).
% 4.01/4.29 assign(sos_limit,10000).
% 4.01/4.29 assign(order,kbo).
% 4.01/4.29 set(lex_order_vars).
% 4.01/4.29 clear(print_given).
% 4.01/4.29
% 4.01/4.29 % formulas(sos). % not echoed (12 formulas)
% 4.01/4.29
% 4.01/4.29 ============================== end of input ==========================
% 4.01/4.29
% 4.01/4.29 % From the command line: assign(max_seconds, 300).
% 4.01/4.29
% 4.01/4.29 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.01/4.29
% 4.01/4.29 % Formulas that are not ordinary clauses:
% 4.01/4.29
% 4.01/4.29 ============================== end of process non-clausal formulas ===
% 4.01/4.29
% 4.01/4.29 ============================== PROCESS INITIAL CLAUSES ===============
% 4.01/4.29
% 4.01/4.29 ============================== PREDICATE ELIMINATION =================
% 4.01/4.29
% 4.01/4.29 ============================== end predicate elimination =============
% 4.01/4.29
% 4.01/4.29 Auto_denials: (non-Horn, no changes).
% 4.01/4.29
% 4.01/4.29 Term ordering decisions:
% 4.01/4.29
% 4.01/4.29 % Assigning unary symbol i kb_weight 0 and highest precedence (9).
% 4.01/4.29 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0.
% 4.01/4.29
% 4.01/4.29 ============================== end of process initial clauses ========
% 4.01/4.29
% 4.01/4.29 ============================== CLAUSES FOR SEARCH ====================
% 4.01/4.29
% 4.01/4.29 ============================== end of clauses for search =============
% 4.01/4.29
% 4.01/4.29 ============================== SEARCH ================================
% 4.01/4.29
% 4.01/4.29 % Starting search at 0.01 seconds.
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=59.000, iters=3405
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=55.000, iters=3366
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=53.000, iters=3338
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=50.000, iters=3388
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=48.000, iters=3421
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=45.000, iters=3356
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=44.000, iters=3366
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=43.000, iters=3378
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=42.000, iters=3404
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=40.000, iters=3385
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=39.000, iters=3375
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=38.000, iters=3360
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=37.000, iters=3408
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=36.000, iters=3336
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=35.000, iters=3430
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=34.000, iters=3381
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=33.000, iters=3341
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=32.000, iters=3358
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=31.000, iters=3352
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=30.000, iters=3398
% 4.01/4.29
% 4.01/4.29 Low Water (keep): wt=29.000, iters=3342
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=2370, wt=109.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=2368, wt=101.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=2369, wt=97.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=2302, wt=95.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=5602, wt=93.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=6126, wt=89.000
% 4.01/4.29
% 4.01/4.29 Low Water (displace): id=5078, wt=87.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=6122, wt=85.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=5131, wt=83.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=4413, wt=81.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=11624, wt=28.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=11678, wt=25.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=11887, wt=24.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=11895, wt=23.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=12060, wt=22.000
% 6.74/7.01
% 6.74/7.01 Low Water (displace): id=12062, wt=21.000
% 6.74/7.01
% 6.74/7.01 Low Water (keep): wt=28.000, iters=3341
% 6.74/7.01
% 6.74/7.01 ============================== PROOF =================================
% 6.74/7.01 % SZS status Unsatisfiable
% 6.74/7.01 % SZS output start Refutation
% 6.74/7.01
% 6.74/7.01 % Proof 1 at 6.00 (+ 0.05) seconds.
% 6.74/7.01 % Length of proof is 41.
% 6.74/7.01 % Level of proof is 12.
% 6.74/7.01 % Maximum clause weight is 24.000.
% 6.74/7.01 % Given clauses 257.
% 6.74/7.01
% 6.74/7.01 2 mult(unit,A) = A # label(f06) # label(axiom). [assumption].
% 6.74/7.01 3 mult(A,i(A)) = unit # label(f09) # label(axiom). [assumption].
% 6.74/7.01 4 mult(i(A),A) = unit # label(f10) # label(axiom). [assumption].
% 6.74/7.01 5 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 6.74/7.01 6 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 6.74/7.01 7 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 6.74/7.01 9 mult(mult(A,B),i(B)) = A # label(f08) # label(axiom). [assumption].
% 6.74/7.01 10 mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) # label(f07) # label(axiom). [assumption].
% 6.74/7.01 11 mult(A,B) = mult(B,A) | mult(i(A),mult(A,B)) = B # label(f11) # label(axiom). [assumption].
% 6.74/7.01 12 mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)) # label(goals) # label(negated_conjecture). [assumption].
% 6.74/7.01 16 ld(A,unit) = i(A). [para(3(a,1),6(a,1,2))].
% 6.74/7.01 17 i(i(A)) = A. [para(4(a,1),6(a,1,2)),rewrite([16(3)])].
% 6.74/7.01 24 mult(A,i(ld(B,A))) = B. [para(5(a,1),9(a,1,1))].
% 6.74/7.01 26 rd(A,B) = mult(A,i(B)). [para(7(a,1),9(a,1,1)),flip(a)].
% 6.74/7.01 27 mult(mult(A,i(B)),B) = A. [back_rewrite(7),rewrite([26(1)])].
% 6.74/7.01 29 mult(A,mult(mult(i(A),B),i(A))) = mult(B,i(A)). [para(3(a,1),10(a,1,1,1)),rewrite([2(2)]),flip(a)].
% 6.74/7.01 30 mult(A,mult(mult(B,i(mult(A,B))),B)) = B. [para(3(a,1),10(a,1,1)),rewrite([2(2)]),flip(a)].
% 6.74/7.01 31 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(4(a,1),10(a,1,1,1)),rewrite([2(2)]),flip(a)].
% 6.74/7.01 33 mult(A,mult(mult(B,ld(mult(A,B),C)),B)) = mult(C,B). [para(5(a,1),10(a,1,1)),flip(a)].
% 6.74/7.01 40 mult(ld(A,B),A) = B | ld(A,B) = mult(i(A),B). [para(5(a,1),11(b,1,2)),rewrite([5(2)]),flip(a),flip(b)].
% 6.74/7.01 48 i(ld(A,B)) = ld(B,A). [para(24(a,1),6(a,1,2)),flip(a)].
% 6.74/7.01 115 mult(mult(A,i(mult(B,A))),A) = ld(B,A). [para(30(a,1),6(a,1,2)),flip(a)].
% 6.74/7.01 120 mult(ld(A,B),A) = mult(i(A),mult(B,A)). [para(5(a,1),31(a,1,2,1)),flip(a)].
% 6.74/7.01 122 ld(i(A),mult(B,A)) = mult(mult(A,B),A). [para(31(a,1),6(a,1,2))].
% 6.74/7.01 136 mult(i(A),mult(B,A)) = B | ld(A,B) = mult(i(A),B). [back_rewrite(40),rewrite([120(2)])].
% 6.74/7.01 197 mult(ld(A,i(B)),B) = mult(i(B),i(mult(A,i(B)))). [para(115(a,1),27(a,1,1))].
% 6.74/7.01 281 mult(mult(A,ld(mult(B,A),C)),A) = ld(B,mult(C,A)). [para(33(a,1),6(a,1,2)),flip(a)].
% 6.74/7.01 1959 mult(ld(mult(A,B),C),B) = mult(i(B),ld(A,mult(C,B))). [para(281(a,1),31(a,1,2)),flip(a)].
% 6.74/7.01 3534 ld(A,B) = mult(i(A),B) | mult(A,mult(B,i(A))) = B. [para(136(a,1),29(a,1,2,1)),rewrite([9(10)])].
% 6.74/7.01 3546 ld(A,B) = mult(i(A),B) | ld(A,B) = mult(B,i(A)). [para(136(a,1),122(a,2,1)),rewrite([17(6),9(7)])].
% 6.74/7.01 7475 mult(ld(mult(i(A),i(mult(B,i(A)))),C),A) = mult(i(A),ld(ld(B,i(A)),mult(C,A))). [para(197(a,1),1959(a,1,1,1))].
% 6.74/7.01 9490 mult(mult(A,B),i(A)) = B | mult(i(A),mult(A,B)) = B. [para(3546(a,1),6(a,1)),rewrite([6(2)]),flip(a)].
% 6.74/7.01 9696 ld(i(A),B) = mult(A,B) | ld(A,mult(B,A)) = B. [para(3534(b,1),3546(a,2)),rewrite([17(4),17(6),17(9),17(11),9(12)]),merge(c)].
% 6.74/7.01 11550 mult(i(A),mult(A,B)) = B | ld(i(A),B) = mult(A,B). [para(9490(a,1),9696(b,1,2)),rewrite([17(6),6(6)]),flip(b),merge(b)].
% 6.74/7.01 12411 ld(i(A),B) = mult(A,B). [para(11550(a,1),6(a,1,2)),merge(b)].
% 6.74/7.01 14830 mult(i(A),mult(A,B)) = B. [para(12411(a,1),5(a,1,2))].
% 6.74/7.01 14832 ld(A,B) = mult(i(A),B). [para(17(a,1),12411(a,1,1))].
% 6.74/7.01 14833 i(mult(A,B)) = mult(i(B),i(A)). [para(12411(a,1),48(a,1,1)),rewrite([14832(4)])].
% 6.74/7.01 16311 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [back_rewrite(7475),rewrite([14833(4),17(3),14830(4),14832(2),17(2),14832(5),14832(8),14833(7),17(5),17(5)]),flip(a)].
% 6.74/7.01 18677 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [para(16311(a,1),14830(a,1,2)),rewrite([17(2)]),flip(a)].
% 6.74/7.01 18678 $F. [resolve(18677,a,12,a)].
% 6.74/7.01
% 6.74/7.01 % SZS output end Refutation
% 6.74/7.01 ============================== end of proof ==========================
% 6.74/7.01
% 6.74/7.01 ============================== STATISTICS ============================
% 6.74/7.01
% 6.74/7.01 Given=257. Generated=57693. Kept=18677. proofs=1.
% 6.74/7.01 Usable=44. Sos=2283. Demods=2116. Limbo=17, Disabled=16344. Hints=0.
% 6.74/7.01 Megabytes=18.47.
% 6.74/7.01 User_CPU=6.00, System_CPU=0.05, Wall_clock=6.
% 6.74/7.01
% 6.74/7.01 ============================== end of statistics =====================
% 6.74/7.01
% 6.74/7.01 ============================== end of search =========================
% 6.74/7.01
% 6.74/7.01 THEOREM PROVED
% 6.74/7.01 % SZS status Unsatisfiable
% 6.74/7.01
% 6.74/7.01 Exiting with 1 proof.
% 6.74/7.01
% 6.74/7.01 Process 15022 exit (max_proofs) Tue Jun 14 11:32:26 2022
% 6.74/7.01 Prover9 interrupted
%------------------------------------------------------------------------------