TSTP Solution File: GRP346-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP346-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 11:18:42 EDT 2022
% Result : Unsatisfiable 75.43s 75.77s
% Output : Refutation 75.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP346-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n024.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 : Tue Jun 14 08:33:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 75.43/75.77 ============================== Prover9 ===============================
% 75.43/75.77 Prover9 (32) version 2009-11A, November 2009.
% 75.43/75.77 Process 26373 was started by sandbox on n024.cluster.edu,
% 75.43/75.77 Tue Jun 14 08:33:04 2022
% 75.43/75.77 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26220_n024.cluster.edu".
% 75.43/75.77 ============================== end of head ===========================
% 75.43/75.77
% 75.43/75.77 ============================== INPUT =================================
% 75.43/75.77
% 75.43/75.77 % Reading from file /tmp/Prover9_26220_n024.cluster.edu
% 75.43/75.77
% 75.43/75.77 set(prolog_style_variables).
% 75.43/75.77 set(auto2).
% 75.43/75.77 % set(auto2) -> set(auto).
% 75.43/75.77 % set(auto) -> set(auto_inference).
% 75.43/75.77 % set(auto) -> set(auto_setup).
% 75.43/75.77 % set(auto_setup) -> set(predicate_elim).
% 75.43/75.77 % set(auto_setup) -> assign(eq_defs, unfold).
% 75.43/75.77 % set(auto) -> set(auto_limits).
% 75.43/75.77 % set(auto_limits) -> assign(max_weight, "100.000").
% 75.43/75.77 % set(auto_limits) -> assign(sos_limit, 20000).
% 75.43/75.77 % set(auto) -> set(auto_denials).
% 75.43/75.77 % set(auto) -> set(auto_process).
% 75.43/75.77 % set(auto2) -> assign(new_constants, 1).
% 75.43/75.77 % set(auto2) -> assign(fold_denial_max, 3).
% 75.43/75.77 % set(auto2) -> assign(max_weight, "200.000").
% 75.43/75.77 % set(auto2) -> assign(max_hours, 1).
% 75.43/75.77 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 75.43/75.77 % set(auto2) -> assign(max_seconds, 0).
% 75.43/75.77 % set(auto2) -> assign(max_minutes, 5).
% 75.43/75.77 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 75.43/75.77 % set(auto2) -> set(sort_initial_sos).
% 75.43/75.77 % set(auto2) -> assign(sos_limit, -1).
% 75.43/75.77 % set(auto2) -> assign(lrs_ticks, 3000).
% 75.43/75.77 % set(auto2) -> assign(max_megs, 400).
% 75.43/75.77 % set(auto2) -> assign(stats, some).
% 75.43/75.77 % set(auto2) -> clear(echo_input).
% 75.43/75.77 % set(auto2) -> set(quiet).
% 75.43/75.77 % set(auto2) -> clear(print_initial_clauses).
% 75.43/75.77 % set(auto2) -> clear(print_given).
% 75.43/75.77 assign(lrs_ticks,-1).
% 75.43/75.77 assign(sos_limit,10000).
% 75.43/75.77 assign(order,kbo).
% 75.43/75.77 set(lex_order_vars).
% 75.43/75.77 clear(print_given).
% 75.43/75.77
% 75.43/75.77 % formulas(sos). % not echoed (39 formulas)
% 75.43/75.77
% 75.43/75.77 ============================== end of input ==========================
% 75.43/75.77
% 75.43/75.77 % From the command line: assign(max_seconds, 300).
% 75.43/75.77
% 75.43/75.77 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 75.43/75.77
% 75.43/75.77 % Formulas that are not ordinary clauses:
% 75.43/75.77
% 75.43/75.77 ============================== end of process non-clausal formulas ===
% 75.43/75.77
% 75.43/75.77 ============================== PROCESS INITIAL CLAUSES ===============
% 75.43/75.77
% 75.43/75.77 ============================== PREDICATE ELIMINATION =================
% 75.43/75.77
% 75.43/75.77 ============================== end predicate elimination =============
% 75.43/75.77
% 75.43/75.77 Auto_denials: (non-Horn, no changes).
% 75.43/75.77
% 75.43/75.77 Term ordering decisions:
% 75.43/75.77
% 75.43/75.77 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 75.43/75.77 Function symbol KB weights: sk_c7=1. sk_c6=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 75.43/75.77
% 75.43/75.77 ============================== end of process initial clauses ========
% 75.43/75.77
% 75.43/75.77 ============================== CLAUSES FOR SEARCH ====================
% 75.43/75.77
% 75.43/75.77 ============================== end of clauses for search =============
% 75.43/75.77
% 75.43/75.77 ============================== SEARCH ================================
% 75.43/75.77
% 75.43/75.77 % Starting search at 0.02 seconds.
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=56.000, iters=3646
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=51.000, iters=3533
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=48.000, iters=3361
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=47.000, iters=3402
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=46.000, iters=3361
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=45.000, iters=3343
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=44.000, iters=3334
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=43.000, iters=3391
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=42.000, iters=3345
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=41.000, iters=3343
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=40.000, iters=3377
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=39.000, iters=3360
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=38.000, iters=3404
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=37.000, iters=3362
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=36.000, iters=3339
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=35.000, iters=3355
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=17.000, iters=3385
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=16.000, iters=3522
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=15.000, iters=3342
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=14.000, iters=3341
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=13.000, iters=3333
% 75.43/75.77
% 75.43/75.77 Low Water (displace): id=4243, wt=57.000
% 75.43/75.77
% 75.43/75.77 Low Water (displace): id=3930, wt=56.000
% 75.43/75.77
% 75.43/75.77 Low Water (displace): id=16870, wt=12.000
% 75.43/75.77
% 75.43/75.77 Low Water (displace): id=17027, wt=11.000
% 75.43/75.77
% 75.43/75.77 Low Water (keep): wt=12.000, iters=3333
% 75.43/75.77
% 75.43/75.77 ============================== PROOF =================================
% 75.43/75.77 % SZS status Unsatisfiable
% 75.43/75.77 % SZS output start Refutation
% 75.43/75.77
% 75.43/75.77 % Proof 1 at 72.98 (+ 1.77) seconds.
% 75.43/75.77 % Length of proof is 184.
% 75.43/75.77 % Level of proof is 33.
% 75.43/75.77 % Maximum clause weight is 55.000.
% 75.43/75.77 % Given clauses 6215.
% 75.43/75.77
% 75.43/75.77 1 multiply(identity,A) = A # label(left_identity) # label(axiom). [assumption].
% 75.43/75.77 2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom). [assumption].
% 75.43/75.77 3 inverse(sk_c1) = sk_c7 | inverse(sk_c7) = sk_c5 # label(prove_this_10) # label(negated_conjecture). [assumption].
% 75.43/75.77 4 inverse(sk_c1) = sk_c7 | inverse(sk_c3) = sk_c6 # label(prove_this_12) # label(negated_conjecture). [assumption].
% 75.43/75.77 5 inverse(sk_c1) = sk_c7 | inverse(sk_c4) = sk_c7 # label(prove_this_14) # label(negated_conjecture). [assumption].
% 75.43/75.77 6 inverse(sk_c2) = sk_c6 | inverse(sk_c7) = sk_c5 # label(prove_this_24) # label(negated_conjecture). [assumption].
% 75.43/75.77 7 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = sk_c6 # label(prove_this_26) # label(negated_conjecture). [assumption].
% 75.43/75.77 8 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c7 # label(prove_this_28) # label(negated_conjecture). [assumption].
% 75.43/75.77 9 multiply(sk_c6,sk_c7) = sk_c5 | inverse(sk_c7) = sk_c5 # label(prove_this_3) # label(negated_conjecture). [assumption].
% 75.43/75.77 12 inverse(sk_c1) = sk_c7 | multiply(sk_c6,sk_c5) = sk_c7 # label(prove_this_8) # label(negated_conjecture). [assumption].
% 75.43/75.77 14 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_11) # label(negated_conjecture). [assumption].
% 75.43/75.77 15 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c7) = sk_c5 # label(prove_this_13) # label(negated_conjecture). [assumption].
% 75.43/75.77 16 multiply(sk_c1,sk_c6) = sk_c7 | inverse(sk_c7) = sk_c5 # label(prove_this_17) # label(negated_conjecture). [assumption].
% 75.43/75.77 19 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c5) = sk_c7 # label(prove_this_22) # label(negated_conjecture). [assumption].
% 75.43/75.77 21 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = sk_c7 # label(prove_this_25) # label(negated_conjecture). [assumption].
% 75.43/75.77 22 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c7) = sk_c5 # label(prove_this_27) # label(negated_conjecture). [assumption].
% 75.43/75.77 23 multiply(sk_c2,sk_c5) = sk_c6 | inverse(sk_c7) = sk_c5 # label(prove_this_31) # label(negated_conjecture). [assumption].
% 75.43/75.77 25 multiply(sk_c2,sk_c5) = sk_c6 | inverse(sk_c4) = sk_c7 # label(prove_this_35) # label(negated_conjecture). [assumption].
% 75.43/75.77 26 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c6,sk_c5) = sk_c7 # label(prove_this_1) # label(negated_conjecture). [assumption].
% 75.43/75.77 27 multiply(sk_c6,sk_c7) = sk_c5 | multiply(sk_c7,sk_c5) = sk_c6 # label(prove_this_2) # label(negated_conjecture). [assumption].
% 75.43/75.77 31 multiply(sk_c1,sk_c6) = sk_c7 | multiply(sk_c7,sk_c5) = sk_c6 # label(prove_this_16) # label(negated_conjecture). [assumption].
% 75.43/75.77 35 multiply(sk_c2,sk_c5) = sk_c6 | multiply(sk_c7,sk_c5) = sk_c6 # label(prove_this_30) # label(negated_conjecture). [assumption].
% 75.43/75.77 37 multiply(sk_c2,sk_c5) = sk_c6 | multiply(sk_c4,sk_c7) = sk_c5 # label(prove_this_34) # label(negated_conjecture). [assumption].
% 75.43/75.77 38 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom). [assumption].
% 75.43/75.77 39 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | multiply(C,sk_c6) != sk_c7 | inverse(C) != sk_c6 | multiply(D,sk_c7) != sk_c5 | inverse(D) != sk_c7 # label(prove_this_36) # label(negated_conjecture). [assumption].
% 75.43/75.77 70 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c1) = identity. [para(3(a,1),2(a,1,1))].
% 75.43/75.77 73 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c2) = identity. [para(6(a,1),2(a,1,1))].
% 75.43/75.77 74 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c3) = identity. [para(7(b,1),2(a,1,1))].
% 75.43/75.77 75 inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c4) = identity. [para(8(b,1),2(a,1,1))].
% 75.43/75.77 76 multiply(inverse(A),multiply(A,B)) = B. [para(2(a,1),38(a,1,1)),rewrite([1(2)]),flip(a)].
% 75.43/75.77 77 inverse(sk_c7) = sk_c5 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(9(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 88 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c3,sk_c6)) = multiply(A,sk_c7). [para(14(b,1),38(a,2,2)),rewrite([38(8)])].
% 75.43/75.77 90 inverse(sk_c1) = sk_c7 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5). [para(15(b,1),38(a,2,2)),rewrite([38(8)])].
% 75.43/75.77 91 inverse(sk_c7) = sk_c5 | multiply(sk_c1,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(16(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 92 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c1,sk_c6)) = multiply(A,sk_c7). [para(16(a,1),38(a,2,2)),rewrite([38(8)])].
% 75.43/75.77 97 inverse(sk_c2) = sk_c6 | multiply(sk_c6,multiply(sk_c5,A)) = multiply(sk_c7,A). [para(19(b,1),38(a,1,1)),flip(b)].
% 75.43/75.77 101 inverse(sk_c2) = sk_c6 | multiply(sk_c3,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(21(b,1),38(a,1,1)),flip(b)].
% 75.43/75.77 102 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c3,sk_c6)) = multiply(A,sk_c7). [para(21(b,1),38(a,2,2)),rewrite([38(8)])].
% 75.43/75.77 103 inverse(sk_c2) = sk_c6 | multiply(sk_c4,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(22(b,1),38(a,1,1)),flip(b)].
% 75.43/75.77 104 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5). [para(22(b,1),38(a,2,2)),rewrite([38(8)])].
% 75.43/75.77 105 inverse(sk_c7) = sk_c5 | multiply(sk_c2,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(23(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 109 inverse(sk_c4) = sk_c7 | multiply(sk_c2,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(25(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 113 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A). [para(27(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 121 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c1,multiply(sk_c6,A)) = multiply(sk_c7,A). [para(31(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 129 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c2,multiply(sk_c5,A)) = multiply(sk_c6,A). [para(35(a,1),38(a,1,1)),flip(b)].
% 75.43/75.77 161 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | inverse(inverse(sk_c6)) != sk_c6 | multiply(C,sk_c7) != sk_c5 | inverse(C) != sk_c7. [para(2(a,1),39(i,1))].
% 75.43/75.77 679 multiply(inverse(inverse(A)),identity) = A. [para(2(a,1),76(a,1,2))].
% 75.43/75.77 683 inverse(sk_c2) = sk_c6 | multiply(sk_c6,multiply(sk_c3,A)) = A. [para(7(b,1),76(a,1,1))].
% 75.43/75.77 685 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c6),sk_c5) = sk_c7. [para(9(a,1),76(a,1,2))].
% 75.43/75.77 688 inverse(sk_c1) = sk_c7 | multiply(inverse(sk_c6),sk_c7) = sk_c5. [para(12(b,1),76(a,1,2))].
% 75.43/75.77 695 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c6),sk_c7) = sk_c5. [para(19(b,1),76(a,1,2))].
% 75.43/75.77 702 multiply(sk_c6,sk_c7) = sk_c5 | multiply(inverse(sk_c6),sk_c7) = sk_c5. [para(26(b,1),76(a,1,2))].
% 75.43/75.77 715 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),identity) = sk_c1. [para(70(b,1),76(a,1,2))].
% 75.43/75.77 716 multiply(inverse(inverse(A)),B) = multiply(A,B). [para(76(a,1),76(a,1,2))].
% 75.43/75.77 717 multiply(A,identity) = A. [back_rewrite(679),rewrite([716(4)])].
% 75.43/75.77 718 inverse(sk_c7) = sk_c5 | inverse(sk_c7) = sk_c1. [back_rewrite(715),rewrite([717(8)])].
% 75.43/75.77 720 inverse(identity) = identity. [para(717(a,1),2(a,1))].
% 75.43/75.77 790 inverse(sk_c7) = sk_c5 | multiply(A,multiply(sk_c6,sk_c2)) = A. [para(73(b,1),38(a,2,2)),rewrite([38(8),717(10)])].
% 75.43/75.77 791 inverse(sk_c7) = sk_c5 | inverse(sk_c6) = sk_c2. [para(73(b,1),76(a,1,2)),rewrite([717(8)])].
% 75.43/75.77 801 inverse(sk_c7) = sk_c5 | multiply(sk_c2,multiply(sk_c6,A)) = A. [para(791(b,1),76(a,1,1))].
% 75.43/75.77 804 inverse(sk_c2) = sk_c6 | multiply(A,multiply(sk_c7,sk_c4)) = A. [para(75(b,1),38(a,2,2)),rewrite([38(8),717(10)])].
% 75.43/75.77 809 inverse(sk_c7) = sk_c5 | multiply(sk_c5,sk_c1) = sk_c6. [para(70(b,1),77(b,1,2)),rewrite([717(11)]),flip(c),merge(b)].
% 75.43/75.77 819 multiply(A,inverse(A)) = identity. [para(716(a,1),2(a,1))].
% 75.43/75.77 820 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),A) = multiply(sk_c1,A). [para(3(a,1),716(a,1,1,1))].
% 75.43/75.77 875 multiply(A,multiply(inverse(A),B)) = B. [para(716(a,1),76(a,1))].
% 75.43/75.77 876 inverse(inverse(A)) = A. [para(716(a,1),717(a,1)),rewrite([717(2)]),flip(a)].
% 75.43/75.77 925 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | multiply(C,sk_c7) != sk_c5 | inverse(C) != sk_c7. [back_rewrite(161),rewrite([876(39)]),xx(j)].
% 75.43/75.77 930 inverse(sk_c1) = sk_c7 | multiply(sk_c3,sk_c6) = identity. [para(4(b,1),819(a,1,2))].
% 75.43/75.77 931 inverse(sk_c1) = sk_c7 | multiply(sk_c4,sk_c7) = identity. [para(5(b,1),819(a,1,2))].
% 75.43/75.77 932 inverse(sk_c2) = sk_c6 | multiply(sk_c3,sk_c6) = identity. [para(7(b,1),819(a,1,2))].
% 75.43/75.77 933 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c7) = identity. [para(8(b,1),819(a,1,2))].
% 75.43/75.77 934 multiply(A,multiply(B,inverse(multiply(A,B)))) = identity. [para(819(a,1),38(a,1)),flip(a)].
% 75.43/75.77 1051 inverse(sk_c7) = sk_c5 | multiply(sk_c5,multiply(sk_c1,A)) = multiply(sk_c6,A). [para(809(b,1),38(a,1,1)),flip(b)].
% 75.43/75.77 1417 inverse(sk_c1) = sk_c7 | multiply(A,sk_c7) = A. [para(930(b,1),88(b,1,2)),rewrite([717(10)]),flip(c),merge(b)].
% 75.43/75.77 1629 inverse(sk_c1) = sk_c7 | multiply(A,sk_c5) = A. [para(931(b,1),90(b,1,2)),rewrite([717(10)]),flip(c),merge(b)].
% 75.43/75.77 1697 inverse(sk_c7) = sk_c5 | multiply(sk_c7,sk_c2) = sk_c1. [para(73(b,1),91(b,1,2)),rewrite([717(11)]),flip(c),merge(b)].
% 75.43/75.77 1811 inverse(sk_c1) = sk_c7 | inverse(sk_c5) = identity. [para(1629(b,1),2(a,1))].
% 75.43/75.77 1937 inverse(sk_c5) = identity | inverse(sk_c7) = sk_c1. [para(1811(a,1),876(a,1,1))].
% 75.43/75.77 2013 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c7),sk_c1) = sk_c2. [para(1697(b,1),76(a,1,2))].
% 75.43/75.77 2241 inverse(sk_c7) = sk_c5 | multiply(sk_c2,sk_c5) = sk_c7. [para(791(b,1),685(b,1,1)),merge(b)].
% 75.43/75.77 2296 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c2),sk_c7) = sk_c5. [para(2241(b,1),76(a,1,2))].
% 75.43/75.77 2332 inverse(sk_c2) = sk_c6 | multiply(sk_c7,inverse(sk_c5)) = sk_c6. [para(819(a,1),97(b,1,2)),rewrite([717(7)]),flip(b)].
% 75.43/75.77 2616 inverse(sk_c1) = sk_c7 | inverse(sk_c6) = sk_c5. [para(688(b,1),1417(b,1)),flip(c),merge(b)].
% 75.43/75.77 2619 inverse(sk_c6) = sk_c5 | inverse(sk_c7) = sk_c1. [para(2616(a,1),876(a,1,1))].
% 75.43/75.77 2624 inverse(sk_c7) = sk_c1 | inverse(sk_c5) = sk_c6. [para(2619(a,1),876(a,1,1))].
% 75.43/75.77 2814 inverse(sk_c7) = sk_c1 | identity = sk_c6. [para(2624(b,1),1937(a,1)),flip(b),merge(c)].
% 75.43/75.77 2829 identity = sk_c6 | multiply(sk_c7,sk_c1) = identity. [para(2814(a,1),819(a,1,2))].
% 75.43/75.77 2830 identity = sk_c6 | multiply(sk_c7,multiply(sk_c1,A)) = A. [para(2814(a,1),875(a,1,2,1))].
% 75.43/75.77 3258 inverse(sk_c2) = sk_c6 | multiply(A,sk_c7) = A. [para(932(b,1),102(b,1,2)),rewrite([717(10)]),flip(c),merge(b)].
% 75.43/75.77 3729 inverse(sk_c2) = sk_c6 | multiply(A,sk_c5) = A. [para(933(b,1),104(b,1,2)),rewrite([717(10)]),flip(c),merge(b)].
% 75.43/75.77 3999 inverse(sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c5)) = sk_c2. [para(819(a,1),105(b,1,2)),rewrite([717(7)]),flip(b)].
% 75.43/75.77 4895 inverse(sk_c4) = sk_c7 | multiply(sk_c6,inverse(sk_c5)) = sk_c2. [para(819(a,1),109(b,1,2)),rewrite([717(7)]),flip(b)].
% 75.43/75.77 5120 inverse(sk_c2) = sk_c6 | inverse(sk_c6) = sk_c5. [para(695(b,1),3258(b,1)),flip(c),merge(b)].
% 75.43/75.77 5124 inverse(sk_c6) = sk_c5 | inverse(sk_c6) = sk_c2. [para(5120(a,1),876(a,1,1))].
% 75.43/75.77 5553 identity = sk_c6 | multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c5,sk_c1) = sk_c6. [para(2829(b,1),113(b,1,2)),rewrite([717(11)]),flip(c)].
% 75.43/75.77 5591 multiply(A,inverse(multiply(B,A))) = inverse(B). [para(934(a,1),76(a,1,2)),rewrite([717(3)]),flip(a)].
% 75.43/75.77 5686 multiply(sk_c2,sk_c5) = sk_c6 | multiply(sk_c7,inverse(sk_c5)) = inverse(sk_c4). [para(37(b,1),5591(a,1,2,1))].
% 75.43/75.77 5690 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(5591(a,1),76(a,1,2)),flip(a)].
% 75.43/75.77 8666 inverse(sk_c7) = sk_c5 | multiply(sk_c1,sk_c1) = sk_c2. [para(718(b,1),2013(b,1,1)),merge(b)].
% 75.43/75.77 8669 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c1),sk_c2) = sk_c1. [para(8666(b,1),76(a,1,2))].
% 75.43/75.77 8701 multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c2,multiply(sk_c5,sk_c7)) = sk_c5. [para(27(a,1),129(b,2)),merge(b)].
% 75.43/75.77 9117 inverse(sk_c2) = sk_c6 | multiply(sk_c4,sk_c6) = identity. [para(2332(b,1),103(b,1,2)),rewrite([819(15)]),merge(b)].
% 75.43/75.77 9120 inverse(sk_c2) = sk_c6 | inverse(sk_c4) = sk_c6. [para(9117(b,1),76(a,1,2)),rewrite([717(8)])].
% 75.43/75.77 9122 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c4) = identity. [para(9120(b,1),2(a,1,1))].
% 75.43/75.77 9280 inverse(sk_c2) = sk_c6 | multiply(sk_c7,sk_c4) = sk_c3. [para(9122(b,1),101(b,1,2)),rewrite([717(11)]),flip(c),merge(b)].
% 75.43/75.77 9497 multiply(sk_c7,sk_c5) = sk_c6 | identity = sk_c6 | multiply(sk_c7,sk_c7) = sk_c6. [para(31(a,1),2830(b,1,2))].
% 75.43/75.77 11427 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c3) = sk_c7. [para(3258(b,1),683(b,1,2)),merge(b)].
% 75.43/75.77 11429 inverse(sk_c2) = sk_c6 | multiply(sk_c6,sk_c3) = sk_c5. [para(3729(b,1),683(b,1,2)),merge(b)].
% 75.43/75.77 11456 inverse(sk_c2) = sk_c6 | sk_c5 = sk_c7. [para(11429(b,1),11427(b,1)),merge(b)].
% 75.43/75.77 11459 sk_c5 = sk_c7 | inverse(sk_c6) = sk_c2. [para(11456(a,1),876(a,1,1))].
% 75.43/75.77 14410 inverse(sk_c2) = sk_c6 | multiply(A,sk_c3) = A. [para(9280(b,1),804(b,1,2)),merge(b)].
% 75.43/75.77 14411 inverse(sk_c2) = sk_c6 | inverse(sk_c3) = identity. [para(14410(b,1),2(a,1))].
% 75.43/75.77 14414 inverse(sk_c2) = sk_c6 | identity = sk_c6. [para(14410(b,1),74(b,1)),flip(c),merge(b)].
% 75.43/75.77 14437 identity = sk_c6 | multiply(sk_c6,sk_c2) = identity. [para(14414(a,1),2(a,1,1))].
% 75.43/75.77 14485 inverse(sk_c2) = sk_c6 | multiply(sk_c3,A) = A. [para(14411(b,1),76(a,1,1)),rewrite([1(8)])].
% 75.43/75.77 14506 identity = sk_c6 | multiply(sk_c7,sk_c5) = sk_c6 | multiply(sk_c7,sk_c2) = sk_c1. [para(14437(b,1),121(b,1,2)),rewrite([717(11)]),flip(c)].
% 75.43/75.77 14616 inverse(sk_c2) = sk_c6 | multiply(sk_c6,A) = A. [para(14485(b,1),683(b,1,2)),merge(b)].
% 75.43/75.77 14661 inverse(sk_c2) = sk_c6 | multiply(inverse(sk_c6),A) = A. [para(14616(b,1),76(a,1,2))].
% 75.43/75.77 15231 inverse(sk_c2) = sk_c6 | inverse(sk_c6) = sk_c7. [para(14661(b,1),3258(b,1)),flip(c),merge(b)].
% 75.43/75.77 15239 inverse(sk_c6) = sk_c7 | inverse(sk_c6) = sk_c2. [para(15231(a,1),876(a,1,1))].
% 75.43/75.77 15627 multiply(sk_c6,sk_c7) != sk_c5 | inverse(A) != sk_c7 | multiply(A,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(1(a,1),925(j,1)),rewrite([720(41)]),flip(j),merge(k)].
% 75.43/75.77 15648 multiply(sk_c6,sk_c7) != sk_c5 | multiply(inverse(A),inverse(B)) != sk_c7 | multiply(B,multiply(A,sk_c6)) != sk_c7 | inverse(C) != sk_c6 | multiply(C,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(38(a,1),15627(c,1)),rewrite([5690(7)])].
% 75.43/75.77 15745 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,inverse(A)) != sk_c7 | sk_c7 != A | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(2(a,1),15648(c,1,2)),rewrite([876(8),717(12)]),flip(c)].
% 75.43/75.77 15749 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,A) != sk_c7 | inverse(A) != sk_c7 | inverse(B) != sk_c6 | multiply(B,sk_c5) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(876(a,1),15745(b,1,2)),flip(c)].
% 75.43/75.77 15751 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | inverse(A) != sk_c6 | multiply(A,sk_c5) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [factor(15749,b,f)].
% 75.43/75.77 15753 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(inverse(A),inverse(B)) != sk_c6 | multiply(B,multiply(A,sk_c5)) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(38(a,1),15751(e,1)),rewrite([5690(16)])].
% 75.43/75.77 15773 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,inverse(A)) != sk_c6 | sk_c6 != A | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(2(a,1),15753(e,1,2)),rewrite([876(17),717(21)]),flip(e)].
% 75.43/75.77 15807 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(sk_c5,A) != sk_c6 | inverse(A) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(876(a,1),15773(d,1,2)),flip(e)].
% 75.43/75.77 15809 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | sk_c6 != A | multiply(inverse(A),sk_c5) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(875(a,1),15807(d,1)),rewrite([5690(20),876(20)]),flip(d)].
% 75.43/75.77 15810 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(A,B) != sk_c6 | multiply(inverse(B),multiply(inverse(A),sk_c5)) != sk_c6 | multiply(sk_c7,sk_c5) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [para(5690(a,1),15809(e,1,1)),rewrite([38(22)]),flip(d)].
% 75.43/75.77 15811 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | multiply(inverse(sk_c5),multiply(inverse(sk_c7),sk_c5)) != sk_c6 | inverse(sk_c7) != sk_c5 | identity != sk_c7 | sk_c5 != sk_c7. [factor(15810,d,f)].
% 75.43/75.77 20414 inverse(sk_c7) = sk_c5 | multiply(sk_c6,inverse(sk_c1)) = sk_c5. [para(819(a,1),1051(b,1,2)),rewrite([717(7)]),flip(b)].
% 75.43/75.77 20440 inverse(sk_c7) = sk_c5 | multiply(sk_c2,sk_c5) = inverse(sk_c1). [para(20414(b,1),801(b,1,2)),merge(b)].
% 75.43/75.77 20441 inverse(sk_c7) = sk_c5 | inverse(sk_c1) = sk_c6. [para(20440(b,1),23(a,1)),merge(c)].
% 75.43/75.77 20445 inverse(sk_c7) = sk_c5 | inverse(sk_c6) = sk_c1. [para(20441(b,1),876(a,1,1))].
% 75.43/75.77 20446 inverse(sk_c7) = sk_c5 | multiply(sk_c1,sk_c6) = identity. [para(20441(b,1),819(a,1,2))].
% 75.43/75.77 20454 inverse(sk_c7) = sk_c5 | multiply(sk_c1,sk_c5) = sk_c7. [para(20445(b,1),685(b,1,1)),merge(b)].
% 75.43/75.77 20510 inverse(sk_c7) = sk_c5 | multiply(A,sk_c7) = A. [para(20446(b,1),92(b,1,2)),rewrite([717(10)]),flip(c),merge(b)].
% 75.43/75.77 20889 inverse(sk_c7) = sk_c5 | multiply(inverse(sk_c1),sk_c7) = sk_c5. [para(20454(b,1),76(a,1,2))].
% 75.43/75.77 20965 inverse(sk_c7) = sk_c5 | inverse(sk_c2) = sk_c5. [para(20510(b,1),2296(b,1)),merge(b)].
% 75.43/75.77 20970 inverse(sk_c7) = sk_c5 | multiply(sk_c1,sk_c7) = inverse(sk_c7). [para(20510(b,1),820(b,1)),flip(c),merge(b)].
% 75.43/75.77 21031 inverse(sk_c7) = sk_c5 | inverse(sk_c5) = sk_c2. [para(20965(b,1),876(a,1,1))].
% 75.43/75.77 21045 inverse(sk_c7) = sk_c5 | multiply(sk_c6,sk_c2) = sk_c2. [para(21031(b,1),3999(b,1,2)),merge(b)].
% 75.43/75.77 22633 inverse(sk_c7) = sk_c5 | multiply(A,sk_c2) = A. [para(21045(b,1),790(b,1,2)),merge(b)].
% 75.43/75.77 23138 inverse(sk_c7) = sk_c5 | inverse(sk_c1) = sk_c1. [para(22633(b,1),8669(b,1)),merge(b)].
% 75.43/75.77 24088 inverse(sk_c7) = sk_c5 | multiply(sk_c1,sk_c7) = sk_c5. [para(23138(b,1),20889(b,1,1)),merge(b)].
% 75.43/75.77 24304 inverse(sk_c7) = sk_c5. [para(20970(b,1),24088(b,1)),merge(b),merge(c)].
% 75.43/75.77 26015 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c5) != sk_c7 | multiply(sk_c7,sk_c5) != sk_c6 | sk_c5 != sk_c6 | identity != sk_c7 | sk_c5 != sk_c7. [back_rewrite(15811),rewrite([24304(23),76(25),24304(24)]),xx(f)].
% 75.43/75.77 29114 multiply(sk_c5,sk_c7) = identity. [para(24304(a,1),2(a,1,1))].
% 75.43/75.77 29116 inverse(sk_c5) = sk_c7. [para(24304(a,1),876(a,1,1))].
% 75.43/75.77 29117 multiply(sk_c7,sk_c5) = identity. [para(24304(a,1),819(a,1,2))].
% 75.43/75.77 29131 identity = sk_c6 | sk_c2 = sk_c5. [back_rewrite(8701),rewrite([29117(3),29114(7),717(6)])].
% 75.43/75.77 29318 multiply(sk_c6,sk_c7) != sk_c5 | multiply(sk_c6,sk_c5) != sk_c7 | identity != sk_c6 | sk_c5 != sk_c6 | identity != sk_c7 | sk_c5 != sk_c7. [back_rewrite(26015),rewrite([29116(12),29117(16)]),xx(c)].
% 75.43/75.77 29701 multiply(sk_c2,sk_c5) = sk_c6 | multiply(sk_c7,sk_c7) = inverse(sk_c4). [back_rewrite(5686),rewrite([29116(8)])].
% 75.43/75.77 29719 inverse(sk_c4) = sk_c7 | multiply(sk_c6,sk_c7) = sk_c2. [back_rewrite(4895),rewrite([29116(7)])].
% 75.43/75.77 30497 identity = sk_c6 | multiply(sk_c7,sk_c2) = sk_c1. [back_rewrite(14506),rewrite([29117(6)]),merge(b)].
% 75.43/75.77 30548 identity = sk_c6 | multiply(sk_c7,sk_c7) = sk_c6. [back_rewrite(9497),rewrite([29117(3)]),merge(b)].
% 75.43/75.77 30755 identity = sk_c6 | multiply(sk_c5,sk_c1) = sk_c6. [back_rewrite(5553),rewrite([29117(6)]),merge(b)].
% 75.43/75.77 30803 sk_c2 = sk_c5 | multiply(sk_c6,A) = A. [para(29131(a,1),1(a,1,1))].
% 75.43/75.77 30805 sk_c2 = sk_c5 | inverse(sk_c6) = identity. [para(29131(a,1),720(a,1,1))].
% 75.43/75.77 31053 sk_c2 = sk_c5 | inverse(sk_c6) = sk_c6. [para(29131(a,1),30805(b,2)),merge(b)].
% 75.43/75.77 31269 sk_c2 = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5. [para(31053(b,1),702(b,1,1)),merge(c)].
% 75.43/75.77 31327 identity = sk_c6 | multiply(sk_c5,sk_c1) = sk_c2. [para(30497(b,1),76(a,1,2)),rewrite([24304(5)])].
% 75.43/75.77 32008 sk_c2 = sk_c5 | sk_c5 = sk_c7. [para(31269(b,1),30803(b,1)),merge(b)].
% 75.43/75.77 32027 sk_c5 = sk_c7 | inverse(sk_c6) = sk_c5. [para(32008(a,1),5124(b,2)),merge(c)].
% 75.43/75.77 32158 identity = sk_c6 | sk_c2 = sk_c6. [para(31327(b,1),30755(b,1)),merge(b)].
% 75.43/75.77 32162 sk_c2 = sk_c6 | inverse(sk_c6) = identity. [para(32158(a,1),720(a,1,1))].
% 75.43/75.77 32252 sk_c2 = sk_c6 | inverse(sk_c6) = sk_c6. [para(32158(a,1),32162(b,2)),merge(b)].
% 75.43/75.77 32262 sk_c2 = sk_c6 | sk_c5 = sk_c7. [para(32252(b,1),11459(b,1)),flip(c),merge(c)].
% 75.43/75.77 32270 sk_c2 = sk_c6 | inverse(sk_c6) = sk_c7. [para(32252(b,1),15239(b,1)),flip(c),merge(c)].
% 75.43/75.77 32335 sk_c5 = sk_c7 | sk_c5 = sk_c6. [para(32262(a,1),32008(a,1)),flip(b),merge(c)].
% 75.43/75.77 32388 sk_c5 = sk_c7 | inverse(sk_c6) = sk_c7. [para(32335(b,1),29116(a,1,1))].
% 75.43/75.77 32421 sk_c2 = sk_c6 | multiply(sk_c6,sk_c7) = identity. [para(32270(b,1),819(a,1,2))].
% 75.43/75.77 32465 sk_c5 = sk_c7. [para(32388(b,1),32027(b,1)),flip(c),merge(b),merge(c)].
% 75.43/75.77 33464 multiply(sk_c2,sk_c7) = sk_c6 | multiply(sk_c7,sk_c7) = inverse(sk_c4). [back_rewrite(29701),rewrite([32465(2)])].
% 75.43/75.77 33663 multiply(sk_c6,sk_c7) != sk_c7 | identity != sk_c6 | sk_c6 != sk_c7 | identity != sk_c7. [back_rewrite(29318),rewrite([32465(4),32465(7),32465(14),32465(20)]),flip(d),xx(f),merge(b)].
% 75.43/75.77 33714 multiply(sk_c7,sk_c7) = identity. [back_rewrite(29117),rewrite([32465(2)])].
% 75.43/75.77 34957 multiply(sk_c6,sk_c7) = sk_c7. [back_rewrite(26),rewrite([32465(4),32465(7)]),merge(b)].
% 75.43/75.77 35076 multiply(sk_c2,sk_c7) = sk_c6 | inverse(sk_c4) = identity. [back_rewrite(33464),rewrite([33714(8)]),flip(b)].
% 75.43/75.77 35082 identity = sk_c6. [back_rewrite(30548),rewrite([33714(6)]),merge(b)].
% 75.43/75.77 35122 sk_c6 != sk_c7. [back_rewrite(33663),rewrite([34957(3),35082(4),35082(10)]),xx(a),xx(b),merge(b)].
% 75.43/75.77 35279 sk_c2 = sk_c6. [back_rewrite(32421),rewrite([34957(6),35082(5)]),flip(b),unit_del(b,35122)].
% 75.43/75.77 35282 inverse(sk_c4) = sk_c7. [back_rewrite(29719),rewrite([34957(7),35279(6)]),flip(b),unit_del(b,35122)].
% 75.43/75.77 35288 $F. [back_rewrite(35076),rewrite([35279(1),34957(3),35282(5),35082(5)]),flip(a),flip(b),merge(b),unit_del(a,35122)].
% 75.43/75.77
% 75.43/75.77 % SZS output end Refutation
% 75.43/75.77 ============================== end of proof ==========================
% 75.43/75.77
% 75.43/75.77 ============================== STATISTICS ============================
% 75.43/75.77
% 75.43/75.77 Given=6215. Generated=3254883. Kept=35287. proofs=1.
% 75.43/75.77 Usable=821. Sos=3064. Demods=21. Limbo=206, Disabled=31235. Hints=0.
% 75.43/75.77 Megabytes=33.87.
% 75.43/75.77 User_CPU=72.98, System_CPU=1.77, Wall_clock=75.
% 75.43/75.77
% 75.43/75.77 ============================== end of statistics =====================
% 75.43/75.77
% 75.43/75.77 ============================== end of search =========================
% 75.43/75.77
% 75.43/75.77 THEOREM PROVED
% 75.43/75.77 % SZS status Unsatisfiable
% 75.43/75.77
% 75.43/75.77 Exiting with 1 proof.
% 75.43/75.77
% 75.43/75.77 Process 26373 exit (max_proofs) Tue Jun 14 08:34:19 2022
% 75.43/75.77 Prover9 interrupted
%------------------------------------------------------------------------------