TSTP Solution File: GRP208-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP208-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 11:18:10 EDT 2022
% Result : Unsatisfiable 53.51s 53.77s
% Output : Refutation 53.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP208-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 17:44:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 53.51/53.77 ============================== Prover9 ===============================
% 53.51/53.77 Prover9 (32) version 2009-11A, November 2009.
% 53.51/53.77 Process 18907 was started by sandbox2 on n026.cluster.edu,
% 53.51/53.77 Mon Jun 13 17:44:51 2022
% 53.51/53.77 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18753_n026.cluster.edu".
% 53.51/53.77 ============================== end of head ===========================
% 53.51/53.77
% 53.51/53.77 ============================== INPUT =================================
% 53.51/53.77
% 53.51/53.77 % Reading from file /tmp/Prover9_18753_n026.cluster.edu
% 53.51/53.77
% 53.51/53.77 set(prolog_style_variables).
% 53.51/53.77 set(auto2).
% 53.51/53.77 % set(auto2) -> set(auto).
% 53.51/53.77 % set(auto) -> set(auto_inference).
% 53.51/53.77 % set(auto) -> set(auto_setup).
% 53.51/53.77 % set(auto_setup) -> set(predicate_elim).
% 53.51/53.77 % set(auto_setup) -> assign(eq_defs, unfold).
% 53.51/53.77 % set(auto) -> set(auto_limits).
% 53.51/53.77 % set(auto_limits) -> assign(max_weight, "100.000").
% 53.51/53.77 % set(auto_limits) -> assign(sos_limit, 20000).
% 53.51/53.77 % set(auto) -> set(auto_denials).
% 53.51/53.77 % set(auto) -> set(auto_process).
% 53.51/53.77 % set(auto2) -> assign(new_constants, 1).
% 53.51/53.77 % set(auto2) -> assign(fold_denial_max, 3).
% 53.51/53.77 % set(auto2) -> assign(max_weight, "200.000").
% 53.51/53.77 % set(auto2) -> assign(max_hours, 1).
% 53.51/53.77 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 53.51/53.77 % set(auto2) -> assign(max_seconds, 0).
% 53.51/53.77 % set(auto2) -> assign(max_minutes, 5).
% 53.51/53.77 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 53.51/53.77 % set(auto2) -> set(sort_initial_sos).
% 53.51/53.77 % set(auto2) -> assign(sos_limit, -1).
% 53.51/53.77 % set(auto2) -> assign(lrs_ticks, 3000).
% 53.51/53.77 % set(auto2) -> assign(max_megs, 400).
% 53.51/53.77 % set(auto2) -> assign(stats, some).
% 53.51/53.77 % set(auto2) -> clear(echo_input).
% 53.51/53.77 % set(auto2) -> set(quiet).
% 53.51/53.77 % set(auto2) -> clear(print_initial_clauses).
% 53.51/53.77 % set(auto2) -> clear(print_given).
% 53.51/53.77 assign(lrs_ticks,-1).
% 53.51/53.77 assign(sos_limit,10000).
% 53.51/53.77 assign(order,kbo).
% 53.51/53.77 set(lex_order_vars).
% 53.51/53.77 clear(print_given).
% 53.51/53.77
% 53.51/53.77 % formulas(sos). % not echoed (64 formulas)
% 53.51/53.77
% 53.51/53.77 ============================== end of input ==========================
% 53.51/53.77
% 53.51/53.77 % From the command line: assign(max_seconds, 300).
% 53.51/53.77
% 53.51/53.77 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 53.51/53.77
% 53.51/53.77 % Formulas that are not ordinary clauses:
% 53.51/53.77
% 53.51/53.77 ============================== end of process non-clausal formulas ===
% 53.51/53.77
% 53.51/53.77 ============================== PROCESS INITIAL CLAUSES ===============
% 53.51/53.77
% 53.51/53.77 ============================== PREDICATE ELIMINATION =================
% 53.51/53.77
% 53.51/53.77 ============================== end predicate elimination =============
% 53.51/53.77
% 53.51/53.77 Auto_denials: (non-Horn, no changes).
% 53.51/53.77
% 53.51/53.77 Term ordering decisions:
% 53.51/53.77
% 53.51/53.77 % Assigning unary symbol inverse kb_weight 0 and highest precedence (16).
% 53.51/53.77 Function symbol KB weights: sk_c12=1. sk_c11=1. sk_c2=1. sk_c1=1. sk_c3=1. sk_c4=1. sk_c6=1. sk_c9=1. sk_c10=1. sk_c5=1. sk_c7=1. sk_c8=1. identity=1. multiply=1. inverse=0.
% 53.51/53.77
% 53.51/53.77 ============================== end of process initial clauses ========
% 53.51/53.77
% 53.51/53.77 ============================== CLAUSES FOR SEARCH ====================
% 53.51/53.77
% 53.51/53.77 ============================== end of clauses for search =============
% 53.51/53.77
% 53.51/53.77 ============================== SEARCH ================================
% 53.51/53.77
% 53.51/53.77 % Starting search at 0.41 seconds.
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=1046, wt=63.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=10221, wt=50.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=10501, wt=49.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=10942, wt=47.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=10983, wt=46.000
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=50.000, iters=4609
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=17445, wt=45.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=18290, wt=42.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=20512, wt=41.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=26187, wt=40.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=35513, wt=39.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=38190, wt=37.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=39194, wt=36.000
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=41.000, iters=3467
% 53.51/53.77
% 53.51/53.77 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 99 (0.00 of 42.19 sec).
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=101935, wt=34.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=102011, wt=33.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=102058, wt=27.000
% 53.51/53.77
% 53.51/53.77 Low Water (displace): id=102082, wt=25.000
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=39.000, iters=3489
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=38.000, iters=3337
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=37.000, iters=3969
% 53.51/53.77
% 53.51/53.77 Low Water (keep): wt=36.000, iters=3462
% 53.51/53.77
% 53.51/53.77 ============================== PROOF =================================
% 53.51/53.77 % SZS status Unsatisfiable
% 53.51/53.77 % SZS output start Refutation
% 53.51/53.77
% 53.51/53.77 % Proof 1 at 52.34 (+ 0.39) seconds.
% 53.51/53.77 % Length of proof is 64.
% 53.51/53.77 % Level of proof is 17.
% 53.51/53.77 % Maximum clause weight is 74.000.
% 53.51/53.77 % Given clauses 892.
% 53.51/53.77
% 53.51/53.77 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 53.51/53.77 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 53.51/53.77 3 inverse(sk_c1) = sk_c2 | inverse(sk_c5) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 53.51/53.77 8 inverse(sk_c3) = sk_c12 | inverse(sk_c7) = sk_c12 # label(prove_this_54) # label(negated_conjecture). [assumption].
% 53.51/53.77 11 multiply(sk_c1,sk_c2) = sk_c12 | inverse(sk_c5) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 53.51/53.77 15 inverse(sk_c1) = sk_c2 | multiply(sk_c5,sk_c6) = sk_c12 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 53.51/53.77 26 multiply(sk_c12,sk_c4) = sk_c11 | inverse(sk_c7) = sk_c12 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 53.51/53.77 30 multiply(sk_c3,sk_c12) = sk_c4 | inverse(sk_c7) = sk_c12 # label(prove_this_44) # label(negated_conjecture). [assumption].
% 53.51/53.77 35 inverse(sk_c3) = sk_c12 | multiply(sk_c7,sk_c11) = sk_c12 # label(prove_this_55) # label(negated_conjecture). [assumption].
% 53.51/53.77 39 multiply(sk_c1,sk_c2) = sk_c12 | multiply(sk_c5,sk_c6) = sk_c12 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 53.51/53.77 53 multiply(sk_c12,sk_c4) = sk_c11 | multiply(sk_c7,sk_c11) = sk_c12 # label(prove_this_35) # label(negated_conjecture). [assumption].
% 53.51/53.77 59 multiply(sk_c3,sk_c12) = sk_c4 | multiply(sk_c7,sk_c11) = sk_c12 # label(prove_this_45) # label(negated_conjecture). [assumption].
% 53.51/53.77 63 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 53.51/53.77 64 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | multiply(D,sk_c12) != C | inverse(D) != sk_c12 | multiply(E,F) != sk_c12 | inverse(E) != F | multiply(F,sk_c11) != sk_c12 | inverse(V6) != sk_c12 | multiply(V6,sk_c11) != sk_c12 | multiply(V7,V8) != sk_c11 | inverse(V7) != V8 | multiply(V8,sk_c12) != sk_c11 | inverse(V9) != sk_c11 | multiply(V9,sk_c12) != sk_c11 # label(prove_this_61) # label(negated_conjecture). [assumption].
% 53.51/53.77 67 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | multiply(D,sk_c12) != C | inverse(D) != sk_c12 | inverse(E) != sk_c12 | multiply(E,sk_c11) != sk_c12 | multiply(F,V6) != sk_c11 | inverse(F) != V6 | multiply(V6,sk_c12) != sk_c11 | inverse(V7) != sk_c11 | multiply(V7,sk_c12) != sk_c11. [factor(64,a,g),merge(g),merge(h)].
% 53.51/53.77 710 inverse(sk_c1) = sk_c2 | multiply(sk_c6,sk_c5) = identity. [para(3(b,1),2(a,1,1))].
% 53.51/53.77 715 inverse(sk_c3) = sk_c12 | multiply(sk_c12,sk_c7) = identity. [para(8(b,1),2(a,1,1))].
% 53.51/53.77 718 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),63(a,1,1)),rewrite([1(2)]),flip(a)].
% 53.51/53.77 955 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | sk_c12 != C | inverse(identity) != sk_c12 | inverse(D) != sk_c12 | multiply(D,sk_c11) != sk_c12 | multiply(E,F) != sk_c11 | inverse(E) != F | multiply(F,sk_c12) != sk_c11 | inverse(V6) != sk_c11 | multiply(V6,sk_c12) != sk_c11. [para(1(a,1),67(e,1))].
% 53.51/53.77 2966 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | sk_c12 != C | inverse(identity) != sk_c12 | inverse(D) != sk_c12 | multiply(D,sk_c11) != sk_c12 | multiply(A,B) != sk_c11 | multiply(B,sk_c12) != sk_c11 | inverse(E) != sk_c11 | multiply(E,sk_c12) != sk_c11. [factor(955,b,j)].
% 53.51/53.77 11642 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | sk_c12 != C | inverse(identity) != sk_c12 | inverse(B) != sk_c12 | multiply(A,B) != sk_c11 | multiply(B,sk_c12) != sk_c11 | inverse(D) != sk_c11 | multiply(D,sk_c12) != sk_c11. [factor(2966,c,h)].
% 53.51/53.77 26804 multiply(A,B) != sk_c12 | inverse(A) != B | multiply(B,sk_c11) != sk_c12 | multiply(sk_c12,C) != sk_c11 | sk_c12 != C | inverse(identity) != sk_c12 | inverse(B) != sk_c12 | multiply(A,B) != sk_c11 | multiply(B,sk_c12) != sk_c11 | inverse(B) != sk_c11. [factor(11642,i,k)].
% 53.51/53.77 39284 multiply(A,identity) != sk_c12 | inverse(A) != identity | sk_c11 != sk_c12 | multiply(sk_c12,B) != sk_c11 | sk_c12 != B | inverse(identity) != sk_c12 | multiply(A,identity) != sk_c11 | inverse(identity) != sk_c11. [factor(26804,f,g),rewrite([1(10),1(27)]),flip(h),merge(h)].
% 53.51/53.77 90831 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),718(a,1,2))].
% 53.51/53.77 90854 inverse(sk_c7) = sk_c12 | multiply(inverse(sk_c12),sk_c11) = sk_c4. [para(26(a,1),718(a,1,2))].
% 53.51/53.77 90858 inverse(sk_c7) = sk_c12 | multiply(inverse(sk_c3),sk_c4) = sk_c12. [para(30(a,1),718(a,1,2))].
% 53.51/53.77 90881 multiply(sk_c12,sk_c4) = sk_c11 | multiply(inverse(sk_c7),sk_c12) = sk_c11. [para(53(b,1),718(a,1,2))].
% 53.51/53.77 90887 multiply(sk_c3,sk_c12) = sk_c4 | multiply(inverse(sk_c7),sk_c12) = sk_c11. [para(59(b,1),718(a,1,2))].
% 53.51/53.77 91175 inverse(sk_c1) = sk_c2 | multiply(inverse(sk_c6),identity) = sk_c5. [para(710(b,1),718(a,1,2))].
% 53.51/53.77 91176 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(718(a,1),718(a,1,2))].
% 53.51/53.77 91928 multiply(A,identity) = A. [back_rewrite(90831),rewrite([91176(4)])].
% 53.51/53.77 92449 inverse(sk_c1) = sk_c2 | inverse(sk_c6) = sk_c5. [back_rewrite(91175),rewrite([91928(8)])].
% 53.51/53.77 92505 sk_c12 != A | inverse(A) != identity | sk_c11 != sk_c12 | multiply(sk_c12,B) != sk_c11 | sk_c12 != B | inverse(identity) != sk_c12 | sk_c11 != A | inverse(identity) != sk_c11. [back_rewrite(39284),rewrite([91928(2),91928(20)]),flip(a),flip(g)].
% 53.51/53.77 92673 sk_c12 != A | inverse(A) != identity | sk_c11 != sk_c12 | multiply(sk_c12,A) != sk_c11 | inverse(identity) != sk_c12 | sk_c11 != A | inverse(identity) != sk_c11. [factor(92505,a,e)].
% 53.51/53.77 93063 inverse(identity) = identity. [para(91928(a,1),2(a,1))].
% 53.51/53.77 93787 sk_c12 != A | inverse(A) != identity | sk_c11 != sk_c12 | multiply(sk_c12,A) != sk_c11 | identity != sk_c12 | sk_c11 != A | identity != sk_c11. [back_rewrite(92673),rewrite([93063(14),93063(19)])].
% 53.51/53.77 94361 inverse(sk_c1) = sk_c2 | multiply(sk_c5,sk_c6) = identity. [para(92449(b,1),2(a,1,1))].
% 53.51/53.77 94482 inverse(sk_c3) = sk_c12 | inverse(sk_c12) = sk_c7. [para(715(b,1),718(a,1,2)),rewrite([91928(8)])].
% 53.51/53.77 94483 inverse(sk_c12) = sk_c7 | multiply(sk_c12,sk_c3) = identity. [para(94482(a,1),2(a,1,1))].
% 53.51/53.77 94926 multiply(A,inverse(A)) = identity. [para(91176(a,1),2(a,1))].
% 53.51/53.77 96465 inverse(inverse(A)) = A. [para(91176(a,1),91928(a,1)),rewrite([91928(2)]),flip(a)].
% 53.51/53.77 101700 inverse(sk_c1) = sk_c2 | identity = sk_c12. [para(94361(b,1),15(b,1)),merge(b)].
% 53.51/53.77 101706 identity = sk_c12 | multiply(sk_c1,sk_c2) = identity. [para(101700(a,1),94926(a,1,2))].
% 53.51/53.77 101765 identity = sk_c12 | inverse(sk_c5) = sk_c6. [para(101706(b,1),11(a,1)),merge(b)].
% 53.51/53.77 101774 identity = sk_c12 | multiply(sk_c5,sk_c6) = identity. [para(101765(b,1),94926(a,1,2))].
% 53.51/53.77 101817 identity != sk_c12 | sk_c11 != sk_c12 | identity != sk_c11. [para(91928(a,1),93787(d,1)),rewrite([93063(5)]),flip(a),flip(d),flip(f),xx(b),merge(c),merge(d),merge(f)].
% 53.51/53.77 101863 identity = sk_c12 | multiply(sk_c1,sk_c2) = sk_c12. [para(101774(b,1),39(b,1)),merge(c)].
% 53.51/53.77 102151 identity = sk_c12. [para(101863(b,1),101706(b,1)),flip(c),merge(b),merge(c)].
% 53.51/53.77 102234 sk_c11 != sk_c12. [back_rewrite(101817),rewrite([102151(1),102151(7)]),flip(c),xx(a),merge(b)].
% 53.51/53.77 102313 inverse(sk_c12) = sk_c7 | multiply(sk_c12,sk_c3) = sk_c12. [back_rewrite(94483),rewrite([102151(8)])].
% 53.51/53.77 102348 inverse(sk_c12) = sk_c12. [back_rewrite(93063),rewrite([102151(1),102151(3)])].
% 53.51/53.77 102349 multiply(A,sk_c12) = A. [back_rewrite(91928),rewrite([102151(1)])].
% 53.51/53.77 102359 multiply(sk_c12,A) = A. [back_rewrite(1),rewrite([102151(1)])].
% 53.51/53.77 102361 sk_c7 = sk_c12 | sk_c3 = sk_c12. [back_rewrite(102313),rewrite([102348(2),102359(6)]),flip(a)].
% 53.51/53.77 102391 inverse(sk_c7) = sk_c12 | sk_c4 = sk_c11. [back_rewrite(90854),rewrite([102348(6),102359(7)]),flip(b)].
% 53.51/53.77 102996 sk_c4 = sk_c3 | inverse(sk_c7) = sk_c11. [back_rewrite(90887),rewrite([102349(3),102349(7)]),flip(a)].
% 53.51/53.77 102999 sk_c4 = sk_c11 | inverse(sk_c7) = sk_c11. [back_rewrite(90881),rewrite([102359(3),102349(7)])].
% 53.51/53.77 107695 sk_c3 = sk_c12 | inverse(sk_c3) = sk_c12. [para(102361(a,1),35(b,1,1)),rewrite([102359(10)]),unit_del(c,102234)].
% 53.51/53.77 108288 sk_c4 = sk_c11. [para(102999(b,1),102391(a,1)),merge(c),unit_del(b,102234)].
% 53.51/53.77 108598 sk_c3 = sk_c11 | inverse(sk_c7) = sk_c11. [back_rewrite(102996),rewrite([108288(1)]),flip(a)].
% 53.51/53.77 108616 inverse(sk_c7) = sk_c12 | multiply(inverse(sk_c3),sk_c11) = sk_c12. [back_rewrite(90858),rewrite([108288(7)])].
% 53.51/53.77 109065 sk_c3 = sk_c12. [para(107695(b,1),96465(a,1,1)),rewrite([102348(5)]),flip(b),merge(b)].
% 53.51/53.77 109070 inverse(sk_c7) = sk_c12. [back_rewrite(108616),rewrite([109065(5),102348(6),102359(7)]),unit_del(b,102234)].
% 53.51/53.77 109083 $F. [back_rewrite(108598),rewrite([109065(1),109070(5)]),flip(a),flip(b),merge(b),unit_del(a,102234)].
% 53.51/53.77
% 53.51/53.77 % SZS output end Refutation
% 53.51/53.77 ============================== end of proof ==========================
% 53.51/53.77
% 53.51/53.77 ============================== STATISTICS ============================
% 53.51/53.77
% 53.51/53.77 Given=892. Generated=542600. Kept=109082. proofs=1.
% 53.51/53.77 Usable=139. Sos=4888. Demods=22. Limbo=18, Disabled=104101. Hints=0.
% 53.51/53.77 Megabytes=132.04.
% 53.51/53.77 User_CPU=52.34, System_CPU=0.39, Wall_clock=53.
% 53.51/53.77
% 53.51/53.77 ============================== end of statistics =====================
% 53.51/53.77
% 53.51/53.77 ============================== end of search =========================
% 53.51/53.77
% 53.51/53.77 THEOREM PROVED
% 53.51/53.77 % SZS status Unsatisfiable
% 53.51/53.77
% 53.51/53.77 Exiting with 1 proof.
% 53.51/53.77
% 53.51/53.77 Process 18907 exit (max_proofs) Mon Jun 13 17:45:44 2022
% 53.51/53.77 Prover9 interrupted
%------------------------------------------------------------------------------