TSTP Solution File: SWV099+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV099+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 : Wed Jul 20 21:10:31 EDT 2022
% Result : Theorem 15.94s 16.26s
% Output : Refutation 15.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV099+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n015.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 : Thu Jun 16 03:31:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 ============================== Prover9 ===============================
% 0.43/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.07 Process 11295 was started by sandbox2 on n015.cluster.edu,
% 0.43/1.07 Thu Jun 16 03:31:11 2022
% 0.43/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11142_n015.cluster.edu".
% 0.43/1.07 ============================== end of head ===========================
% 0.43/1.07
% 0.43/1.07 ============================== INPUT =================================
% 0.43/1.07
% 0.43/1.07 % Reading from file /tmp/Prover9_11142_n015.cluster.edu
% 0.43/1.07
% 0.43/1.07 set(prolog_style_variables).
% 0.43/1.07 set(auto2).
% 0.43/1.07 % set(auto2) -> set(auto).
% 0.43/1.07 % set(auto) -> set(auto_inference).
% 0.43/1.07 % set(auto) -> set(auto_setup).
% 0.43/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.07 % set(auto) -> set(auto_limits).
% 0.43/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.07 % set(auto) -> set(auto_denials).
% 0.43/1.07 % set(auto) -> set(auto_process).
% 0.43/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.07 % set(auto2) -> assign(stats, some).
% 0.43/1.07 % set(auto2) -> clear(echo_input).
% 0.43/1.07 % set(auto2) -> set(quiet).
% 0.43/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.07 % set(auto2) -> clear(print_given).
% 0.43/1.07 assign(lrs_ticks,-1).
% 0.43/1.07 assign(sos_limit,10000).
% 0.43/1.07 assign(order,kbo).
% 0.43/1.07 set(lex_order_vars).
% 0.43/1.07 clear(print_given).
% 0.43/1.07
% 0.43/1.07 % formulas(sos). % not echoed (92 formulas)
% 0.43/1.07
% 0.43/1.07 ============================== end of input ==========================
% 0.43/1.07
% 0.43/1.07 % From the command line: assign(max_seconds, 300).
% 0.43/1.07
% 0.43/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.07
% 0.43/1.07 % Formulas that are not ordinary clauses:
% 0.43/1.07 1 (all X all Y (gt(X,Y) | gt(Y,X) | X = Y)) # label(totality) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 2 (all X all Y all Z (gt(X,Y) & gt(Y,Z) -> gt(X,Z))) # label(transitivity_gt) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 3 (all X -gt(X,X)) # label(irreflexivity_gt) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 4 (all X leq(X,X)) # label(reflexivity_leq) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 5 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(transitivity_leq) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 6 (all X all Y (lt(X,Y) <-> gt(Y,X))) # label(lt_gt) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 7 (all X all Y (geq(X,Y) <-> leq(Y,X))) # label(leq_geq) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 8 (all X all Y (gt(Y,X) -> leq(X,Y))) # label(leq_gt1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 9 (all X all Y (leq(X,Y) & X != Y -> gt(Y,X))) # label(leq_gt2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 10 (all X all Y (leq(X,pred(Y)) <-> gt(Y,X))) # label(leq_gt_pred) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 11 (all X gt(succ(X),X)) # label(gt_succ) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 12 (all X all Y (leq(X,Y) -> leq(X,succ(Y)))) # label(leq_succ) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 13 (all X all Y (leq(X,Y) <-> gt(succ(Y),X))) # label(leq_succ_gt_equiv) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 14 (all X all C (leq(n0,X) -> leq(uniform_int_rnd(C,X),X))) # label(uniform_int_rand_ranges_hi) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 15 (all X all C (leq(n0,X) -> leq(n0,uniform_int_rnd(C,X)))) # label(uniform_int_rand_ranges_lo) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 16 (all I all L all U all Val (leq(L,I) & leq(I,U) -> a_select2(tptp_const_array1(dim(L,U),Val),I) = Val)) # label(const_array1_select) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 17 (all I all L1 all U1 all J all L2 all U2 all Val (leq(L1,I) & leq(I,U1) & leq(L2,J) & leq(J,U2) -> a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val)) # label(const_array2_select) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 18 (all A all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(trans(A),I,J) = a_select3(trans(A),J,I))))) # label(matrix_symm_trans) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 19 (all A all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(inv(A),I,J) = a_select3(inv(A),J,I))))) # label(matrix_symm_inv) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 20 (all A all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) -> (all I all J all K all VAL (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) & leq(n0,K) & leq(K,N) -> a_select3(tptp_update3(A,K,K,VAL),I,J) = a_select3(tptp_update3(A,K,K,VAL),J,I))))) # label(matrix_symm_update_diagonal) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 21 (all A all B all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) & (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(B,I,J) = a_select3(B,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(tptp_madd(A,B),I,J) = a_select3(tptp_madd(A,B),J,I))))) # label(matrix_symm_add) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 22 (all A all B all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) & (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(B,I,J) = a_select3(B,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(tptp_msub(A,B),I,J) = a_select3(tptp_msub(A,B),J,I))))) # label(matrix_symm_sub) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 23 (all A all B all N ((all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(B,I,J) = a_select3(B,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I))))) # label(matrix_symm_aba1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 24 (all A all B all N all M ((all I all J (leq(n0,I) & leq(I,M) & leq(n0,J) & leq(J,M) -> a_select3(B,I,J) = a_select3(B,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I))))) # label(matrix_symm_aba2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 25 (all A all B all C all D all E all F all N all M ((all I all J (leq(n0,I) & leq(I,M) & leq(n0,J) & leq(J,M) -> a_select3(D,I,J) = a_select3(D,J,I))) & (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) & (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(F,I,J) = a_select3(F,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(n0,J) & leq(J,N) -> a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I))))) # label(matrix_symm_joseph_update) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 26 (all Body sum(n0,tptp_minus_1,Body) = n0) # label(sum_plus_base) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 27 (all Body tptp_float_0_0 = sum(n0,tptp_minus_1,Body)) # label(sum_plus_base_float) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 28 (all X plus(X,n1) = succ(X)) # label(succ_plus_1_r) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 29 (all X plus(n1,X) = succ(X)) # label(succ_plus_1_l) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 30 (all X plus(X,n2) = succ(succ(X))) # label(succ_plus_2_r) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 31 (all X plus(n2,X) = succ(succ(X))) # label(succ_plus_2_l) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 32 (all X plus(X,n3) = succ(succ(succ(X)))) # label(succ_plus_3_r) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 33 (all X plus(n3,X) = succ(succ(succ(X)))) # label(succ_plus_3_l) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 34 (all X plus(X,n4) = succ(succ(succ(succ(X))))) # label(succ_plus_4_r) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 35 (all X plus(n4,X) = succ(succ(succ(succ(X))))) # label(succ_plus_4_l) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 36 (all X plus(X,n5) = succ(succ(succ(succ(succ(X)))))) # label(succ_plus_5_r) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 37 (all X plus(n5,X) = succ(succ(succ(succ(succ(X)))))) # label(succ_plus_5_l) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 38 (all X minus(X,n1) = pred(X)) # label(pred_minus_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 39 (all X pred(succ(X)) = X) # label(pred_succ) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 40 (all X succ(pred(X)) = X) # label(succ_pred) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 41 (all X all Y (leq(succ(X),succ(Y)) <-> leq(X,Y))) # label(leq_succ_succ) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 42 (all X all Y (leq(succ(X),Y) -> gt(Y,X))) # label(leq_succ_gt) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 43 (all X all Y (leq(minus(X,Y),X) -> leq(n0,Y))) # label(leq_minus) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 44 (all X all U all V all VAL a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL) # label(sel3_update_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 45 (all I all J all U all V all X all VAL all VAL2 (I != U & J = V & a_select3(X,U,V) = VAL -> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL)) # label(sel3_update_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 46 (all I all J all U all V all X all VAL ((all I0 all J0 (leq(n0,I0) & leq(n0,J0) & leq(I0,U) & leq(J0,V) -> a_select3(X,I0,J0) = VAL)) & leq(n0,I) & leq(I,U) & leq(n0,J) & leq(J,V) -> a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL)) # label(sel3_update_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 47 (all X all U all VAL a_select2(tptp_update2(X,U,VAL),U) = VAL) # label(sel2_update_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 48 (all I all U all X all VAL all VAL2 (I != U & a_select2(X,U) = VAL -> a_select2(tptp_update2(X,I,VAL2),U) = VAL)) # label(sel2_update_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 49 (all I all U all X all VAL ((all I0 (leq(n0,I0) & leq(I0,U) -> a_select2(X,I0) = VAL)) & leq(n0,I) & leq(I,U) -> a_select2(tptp_update2(X,U,VAL),I) = VAL)) # label(sel2_update_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 50 (all X (leq(n0,X) & leq(X,n4) -> X = n0 | X = n1 | X = n2 | X = n3 | X = n4)) # label(finite_domain_4) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 51 (all X (leq(n0,X) & leq(X,n5) -> X = n0 | X = n1 | X = n2 | X = n3 | X = n4 | X = n5)) # label(finite_domain_5) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 52 (all X (leq(n0,X) & leq(X,n0) -> X = n0)) # label(finite_domain_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 53 (all X (leq(n0,X) & leq(X,n1) -> X = n0 | X = n1)) # label(finite_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 54 (all X (leq(n0,X) & leq(X,n2) -> X = n0 | X = n1 | X = n2)) # label(finite_domain_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 55 (all X (leq(n0,X) & leq(X,n3) -> X = n0 | X = n1 | X = n2 | X = n3)) # label(finite_domain_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.08 56 -(a_select2(rho_defuse,n0) = use & a_select2(rho_defuse,n1) = use & a_select2(rho_defuse,n2) = use & a_select2(sigma_defuse,n0) = use & a_select2(sigma_defuse,n1) = use & a_select2(sigma_defuse,n2) = use & a_select2(sigma_defuse,n3) = use & a_select2(sigma_defuse,n4) = use & a_select2(sigma_defuse,n5) = use & a_select3(u_defuse,n0,n0) = use & a_select3(u_defuse,n1,n0) = use & a_select3(u_defuse,n2,n0) = use & a_select2(xinit_defuse,n3) = use & a_select2(xinit_defuse,n4) = use & a_select2(xinit_defuse,n5) = use & a_select2(xinit_mean_defuse,n0) = use & a_select2(xinit_mean_defuse,n1) = use & a_select2(xinit_mean_defuse,n2) = use & a_select2(xinit_mean_defuse,n3) = use & a_select2(xinit_mean_defuse,n4) = use & a_select2(xinit_mean_defuse,n5) = use & a_select2(xinit_noise_defuse,n0) = use & a_select2(xinit_noise_defuse,n1) = use & a_select2(xinit_noise_defuse,n2) = use & a_select2(xinit_noise_defuse,n3) = use & a_select2(xinit_noise_defuse,n4) = use & a_select2(xinit_noise_defuse,n5) = use & leq(n0,pv5) & leq(pv5,minus(n999,n1)) & (all A all B (leq(n0,A) & leq(n0,B) & leq(A,n2) & leq(B,minus(pv5,n1)) -> a_select3(u_defuse,A,B) = use & a_select3(z_defuse,A,B) = use)) -> a_select2(rho_defuse,n0) = use & a_select2(rho_defuse,n1) = use & a_select2(rho_defuse,n2) = use & a_select2(sigma_defuse,n0) = use & a_select2(sigma_defuse,n1) = use & a_select2(sigma_defuse,n2) = use & a_select2(sigma_defuse,n3) = use & a_select2(sigma_defuse,n4) = use & a_select2(sigma_defuse,n5) = use & a_select3(u_defuse,n0,n0) = use & a_select3(u_defuse,n1,n0) = use & a_select3(u_defuse,n2,n0) = use & a_select2(xinit_defuse,n3) = use & a_select2(xinit_defuse,n4) = use & a_select2(xinit_defuse,n5) = use & a_select2(xinit_mean_defuse,n0) = use & a_select2(xinit_mean_defuse,n1) = use & a_select2(xinit_mean_defuse,n2) = use & a_select2(xinit_mean_defuse,n3) = use & a_select2(xinit_mean_defuse,n4) = use & a_select2(xinit_mean_defuse,n5) = use & a_select2(xinit_noise_defuse,n0) = use & a_select2(xinit_noise_defuse,n1) = use & a_select2(xinit_noise_defuse,n2) = use & a_select2(xinit_noise_defuse,n3) = use & a_select2(xinit_noise_defuse,n4) = use & a_select2(xinit_noise_defuse,n5) = use & leq(n0,pv5) & leq(pv5,minus(n999,n1)) & (all C all D (leq(n0,C) & leq(n0,D) & leq(C,n2) & leq(D,minus(pv5,n1)) -> a_select3(u_defuse,C,D) = use & a_select3(z_defuse,C,D) = use))) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture) # label(non_clause). [assumption].
% 2.64/2.92
% 2.64/2.92 ============================== end of process non-clausal formulas ===
% 2.64/2.92
% 2.64/2.92 ============================== PROCESS INITIAL CLAUSES ===============
% 2.64/2.92
% 2.64/2.92 ============================== PREDICATE ELIMINATION =================
% 2.64/2.92 57 lt(A,B) | -gt(B,A) # label(lt_gt) # label(axiom). [clausify(6)].
% 2.64/2.92 58 -lt(A,B) | gt(B,A) # label(lt_gt) # label(axiom). [clausify(6)].
% 2.64/2.92 59 geq(A,B) | -leq(B,A) # label(leq_geq) # label(axiom). [clausify(7)].
% 2.64/2.92 60 -geq(A,B) | leq(B,A) # label(leq_geq) # label(axiom). [clausify(7)].
% 2.64/2.92
% 2.64/2.92 ============================== end predicate elimination =============
% 2.64/2.92
% 2.64/2.92 Auto_denials: (non-Horn, no changes).
% 2.64/2.92
% 2.64/2.92 Term ordering decisions:
% 2.64/2.92 Function symbol KB weights: n0=1. use=1. n1=1. n2=1. n3=1. n4=1. n5=1. sigma_defuse=1. xinit_mean_defuse=1. xinit_noise_defuse=1. u_defuse=1. rho_defuse=1. xinit_defuse=1. pv5=1. n999=1. tptp_minus_1=1. tptp_float_0_0=1. z_defuse=1. def=1. c1=1. c2=1. tptp_mmul=1. tptp_madd=1. a_select2=1. tptp_msub=1. minus=1. plus=1. dim=1. uniform_int_rnd=1. tptp_const_array1=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. trans=1. succ=1. inv=1. pred=1. a_select3=1. tptp_update2=1. sum=1. tptp_const_array2=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. tptp_update3=1. f17=1. f18=1. f27=1. f25=1. f26=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1.
% 2.64/2.92
% 2.64/2.92 ============================== end of process initial clauses ========
% 2.64/2.92
% 2.64/2.92 ============================== CLAUSES FOR SEARCH ====================
% 2.64/2.92
% 2.64/2.92 ============================== end of clauses for search =============
% 2.64/2.92
% 2.64/2.92 ============================== SEARCH ================================
% 2.64/2.92
% 2.64/2.92 % Starting search at 0.25 seconds.
% 2.64/2.92
% 2.64/2.92 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 868 (0.00 of 1.15 sec).
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=176.000, iters=3492
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=146.000, iters=3425
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=119.000, iters=3461
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=113.000, iters=3541
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=89.000, iters=3526
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=86.000, iters=3493
% 2.64/2.92
% 2.64/2.92 Low Water (keep): wt=80.000, iters=3409
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=58.000, iters=3440
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=55.000, iters=3526
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=50.000, iters=3486
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=49.000, iters=3480
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=40.000, iters=3333
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=37.000, iters=3510
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=35.000, iters=3348
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=4707, wt=189.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=3697, wt=179.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=10954, wt=34.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=10959, wt=25.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=34.000, iters=3522
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=11670, wt=22.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=11961, wt=19.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=32.000, iters=3341
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=31.000, iters=3374
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=30.000, iters=3340
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=28.000, iters=3362
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=14261, wt=18.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=14575, wt=17.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=26.000, iters=3415
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=25.000, iters=3381
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=16324, wt=16.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=16452, wt=11.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=17988, wt=10.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=18584, wt=7.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=24.000, iters=3353
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=22.000, iters=3338
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=20668, wt=6.000
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=23167, wt=5.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=21.000, iters=3333
% 15.94/16.26
% 15.94/16.26 Low Water (displace): id=27778, wt=4.000
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=20.000, iters=3341
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=19.000, iters=3345
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=18.000, iters=3346
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=17.000, iters=3333
% 15.94/16.26
% 15.94/16.26 Low Water (keep): wt=16.000, iters=3351
% 15.94/16.26
% 15.94/16.26 ============================== PROOF =================================
% 15.94/16.26 % SZS status Theorem
% 15.94/16.26 % SZS output start Refutation
% 15.94/16.26
% 15.94/16.26 % Proof 1 at 14.90 (+ 0.32) seconds.
% 15.94/16.26 % Length of proof is 52.
% 15.94/16.26 % Level of proof is 7.
% 15.94/16.26 % Maximum clause weight is 19.000.
% 15.94/16.26 % Given clauses 2597.
% 15.94/16.26
% 15.94/16.26 38 (all X minus(X,n1) = pred(X)) # label(pred_minus_1) # label(axiom) # label(non_clause). [assumption].
% 15.94/16.26 56 -(a_select2(rho_defuse,n0) = use & a_select2(rho_defuse,n1) = use & a_select2(rho_defuse,n2) = use & a_select2(sigma_defuse,n0) = use & a_select2(sigma_defuse,n1) = use & a_select2(sigma_defuse,n2) = use & a_select2(sigma_defuse,n3) = use & a_select2(sigma_defuse,n4) = use & a_select2(sigma_defuse,n5) = use & a_select3(u_defuse,n0,n0) = use & a_select3(u_defuse,n1,n0) = use & a_select3(u_defuse,n2,n0) = use & a_select2(xinit_defuse,n3) = use & a_select2(xinit_defuse,n4) = use & a_select2(xinit_defuse,n5) = use & a_select2(xinit_mean_defuse,n0) = use & a_select2(xinit_mean_defuse,n1) = use & a_select2(xinit_mean_defuse,n2) = use & a_select2(xinit_mean_defuse,n3) = use & a_select2(xinit_mean_defuse,n4) = use & a_select2(xinit_mean_defuse,n5) = use & a_select2(xinit_noise_defuse,n0) = use & a_select2(xinit_noise_defuse,n1) = use & a_select2(xinit_noise_defuse,n2) = use & a_select2(xinit_noise_defuse,n3) = use & a_select2(xinit_noise_defuse,n4) = use & a_select2(xinit_noise_defuse,n5) = use & leq(n0,pv5) & leq(pv5,minus(n999,n1)) & (all A all B (leq(n0,A) & leq(n0,B) & leq(A,n2) & leq(B,minus(pv5,n1)) -> a_select3(u_defuse,A,B) = use & a_select3(z_defuse,A,B) = use)) -> a_select2(rho_defuse,n0) = use & a_select2(rho_defuse,n1) = use & a_select2(rho_defuse,n2) = use & a_select2(sigma_defuse,n0) = use & a_select2(sigma_defuse,n1) = use & a_select2(sigma_defuse,n2) = use & a_select2(sigma_defuse,n3) = use & a_select2(sigma_defuse,n4) = use & a_select2(sigma_defuse,n5) = use & a_select3(u_defuse,n0,n0) = use & a_select3(u_defuse,n1,n0) = use & a_select3(u_defuse,n2,n0) = use & a_select2(xinit_defuse,n3) = use & a_select2(xinit_defuse,n4) = use & a_select2(xinit_defuse,n5) = use & a_select2(xinit_mean_defuse,n0) = use & a_select2(xinit_mean_defuse,n1) = use & a_select2(xinit_mean_defuse,n2) = use & a_select2(xinit_mean_defuse,n3) = use & a_select2(xinit_mean_defuse,n4) = use & a_select2(xinit_mean_defuse,n5) = use & a_select2(xinit_noise_defuse,n0) = use & a_select2(xinit_noise_defuse,n1) = use & a_select2(xinit_noise_defuse,n2) = use & a_select2(xinit_noise_defuse,n3) = use & a_select2(xinit_noise_defuse,n4) = use & a_select2(xinit_noise_defuse,n5) = use & leq(n0,pv5) & leq(pv5,minus(n999,n1)) & (all C all D (leq(n0,C) & leq(n0,D) & leq(C,n2) & leq(D,minus(pv5,n1)) -> a_select3(u_defuse,C,D) = use & a_select3(z_defuse,C,D) = use))) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture) # label(non_clause). [assumption].
% 15.94/16.26 300 minus(A,n1) = pred(A) # label(pred_minus_1) # label(axiom). [clausify(38)].
% 15.94/16.26 364 a_select2(rho_defuse,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 365 a_select2(rho_defuse,n1) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 366 a_select2(rho_defuse,n2) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 367 a_select2(sigma_defuse,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 368 a_select2(sigma_defuse,n1) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 369 a_select2(sigma_defuse,n2) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 370 a_select2(sigma_defuse,n3) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 371 a_select2(sigma_defuse,n4) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 372 a_select2(sigma_defuse,n5) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 373 a_select3(u_defuse,n0,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 374 a_select3(u_defuse,n1,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 375 a_select3(u_defuse,n2,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 376 a_select2(xinit_defuse,n3) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 377 a_select2(xinit_defuse,n4) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 378 a_select2(xinit_defuse,n5) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 379 a_select2(xinit_mean_defuse,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 380 a_select2(xinit_mean_defuse,n1) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 381 a_select2(xinit_mean_defuse,n2) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 382 a_select2(xinit_mean_defuse,n3) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 383 a_select2(xinit_mean_defuse,n4) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 384 a_select2(xinit_mean_defuse,n5) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 385 a_select2(xinit_noise_defuse,n0) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 386 a_select2(xinit_noise_defuse,n1) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 387 a_select2(xinit_noise_defuse,n2) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 388 a_select2(xinit_noise_defuse,n3) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 389 a_select2(xinit_noise_defuse,n4) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 390 a_select2(xinit_noise_defuse,n5) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 391 leq(n0,pv5) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 392 leq(pv5,minus(n999,n1)) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 393 leq(pv5,pred(n999)). [copy(392),rewrite([300(4)])].
% 15.94/16.26 394 -leq(n0,A) | -leq(n0,B) | -leq(A,n2) | -leq(B,minus(pv5,n1)) | a_select3(u_defuse,A,B) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 395 -leq(n0,A) | -leq(n0,B) | -leq(A,n2) | -leq(B,pred(pv5)) | a_select3(u_defuse,A,B) = use. [copy(394),rewrite([300(9)])].
% 15.94/16.26 396 -leq(n0,A) | -leq(n0,B) | -leq(A,n2) | -leq(B,minus(pv5,n1)) | a_select3(z_defuse,A,B) = use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 397 -leq(n0,A) | -leq(n0,B) | -leq(A,n2) | -leq(B,pred(pv5)) | a_select3(z_defuse,A,B) = use. [copy(396),rewrite([300(9)])].
% 15.94/16.26 398 a_select2(rho_defuse,n0) != use | a_select2(rho_defuse,n1) != use | a_select2(rho_defuse,n2) != use | a_select2(sigma_defuse,n0) != use | a_select2(sigma_defuse,n1) != use | a_select2(sigma_defuse,n2) != use | a_select2(sigma_defuse,n3) != use | a_select2(sigma_defuse,n4) != use | a_select2(sigma_defuse,n5) != use | a_select3(u_defuse,n0,n0) != use | a_select3(u_defuse,n1,n0) != use | a_select3(u_defuse,n2,n0) != use | a_select2(xinit_defuse,n3) != use | a_select2(xinit_defuse,n4) != use | a_select2(xinit_defuse,n5) != use | a_select2(xinit_mean_defuse,n0) != use | a_select2(xinit_mean_defuse,n1) != use | a_select2(xinit_mean_defuse,n2) != use | a_select2(xinit_mean_defuse,n3) != use | a_select2(xinit_mean_defuse,n4) != use | a_select2(xinit_mean_defuse,n5) != use | a_select2(xinit_noise_defuse,n0) != use | a_select2(xinit_noise_defuse,n1) != use | a_select2(xinit_noise_defuse,n2) != use | a_select2(xinit_noise_defuse,n3) != use | a_select2(xinit_noise_defuse,n4) != use | a_select2(xinit_noise_defuse,n5) != use | -leq(n0,pv5) | -leq(pv5,minus(n999,n1)) | leq(n0,c1) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 399 leq(n0,c1). [copy(398),rewrite([364(3),365(6),366(9),367(12),368(15),369(18),370(21),371(24),372(27),373(31),374(34),375(37),376(39),377(42),378(45),379(48),380(51),381(54),382(57),383(60),384(63),385(66),386(69),387(72),388(75),389(78),390(81),300(88)]),xx(a),xx(b),xx(c),xx(d),xx(e),xx(f),xx(g),xx(h),xx(i),xx(j),xx(k),xx(l),xx(m),xx(n),xx(o),xx(p),xx(q),xx(r),xx(s),xx(t),xx(u),xx(v),xx(w),xx(x),xx(y),xx(z),xx(A),unit_del(a,391),unit_del(b,393)].
% 15.94/16.26 400 a_select2(rho_defuse,n0) != use | a_select2(rho_defuse,n1) != use | a_select2(rho_defuse,n2) != use | a_select2(sigma_defuse,n0) != use | a_select2(sigma_defuse,n1) != use | a_select2(sigma_defuse,n2) != use | a_select2(sigma_defuse,n3) != use | a_select2(sigma_defuse,n4) != use | a_select2(sigma_defuse,n5) != use | a_select3(u_defuse,n0,n0) != use | a_select3(u_defuse,n1,n0) != use | a_select3(u_defuse,n2,n0) != use | a_select2(xinit_defuse,n3) != use | a_select2(xinit_defuse,n4) != use | a_select2(xinit_defuse,n5) != use | a_select2(xinit_mean_defuse,n0) != use | a_select2(xinit_mean_defuse,n1) != use | a_select2(xinit_mean_defuse,n2) != use | a_select2(xinit_mean_defuse,n3) != use | a_select2(xinit_mean_defuse,n4) != use | a_select2(xinit_mean_defuse,n5) != use | a_select2(xinit_noise_defuse,n0) != use | a_select2(xinit_noise_defuse,n1) != use | a_select2(xinit_noise_defuse,n2) != use | a_select2(xinit_noise_defuse,n3) != use | a_select2(xinit_noise_defuse,n4) != use | a_select2(xinit_noise_defuse,n5) != use | -leq(n0,pv5) | -leq(pv5,minus(n999,n1)) | leq(n0,c2) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 401 leq(n0,c2). [copy(400),rewrite([364(3),365(6),366(9),367(12),368(15),369(18),370(21),371(24),372(27),373(31),374(34),375(37),376(39),377(42),378(45),379(48),380(51),381(54),382(57),383(60),384(63),385(66),386(69),387(72),388(75),389(78),390(81),300(88)]),xx(a),xx(b),xx(c),xx(d),xx(e),xx(f),xx(g),xx(h),xx(i),xx(j),xx(k),xx(l),xx(m),xx(n),xx(o),xx(p),xx(q),xx(r),xx(s),xx(t),xx(u),xx(v),xx(w),xx(x),xx(y),xx(z),xx(A),unit_del(a,391),unit_del(b,393)].
% 15.94/16.26 402 a_select2(rho_defuse,n0) != use | a_select2(rho_defuse,n1) != use | a_select2(rho_defuse,n2) != use | a_select2(sigma_defuse,n0) != use | a_select2(sigma_defuse,n1) != use | a_select2(sigma_defuse,n2) != use | a_select2(sigma_defuse,n3) != use | a_select2(sigma_defuse,n4) != use | a_select2(sigma_defuse,n5) != use | a_select3(u_defuse,n0,n0) != use | a_select3(u_defuse,n1,n0) != use | a_select3(u_defuse,n2,n0) != use | a_select2(xinit_defuse,n3) != use | a_select2(xinit_defuse,n4) != use | a_select2(xinit_defuse,n5) != use | a_select2(xinit_mean_defuse,n0) != use | a_select2(xinit_mean_defuse,n1) != use | a_select2(xinit_mean_defuse,n2) != use | a_select2(xinit_mean_defuse,n3) != use | a_select2(xinit_mean_defuse,n4) != use | a_select2(xinit_mean_defuse,n5) != use | a_select2(xinit_noise_defuse,n0) != use | a_select2(xinit_noise_defuse,n1) != use | a_select2(xinit_noise_defuse,n2) != use | a_select2(xinit_noise_defuse,n3) != use | a_select2(xinit_noise_defuse,n4) != use | a_select2(xinit_noise_defuse,n5) != use | -leq(n0,pv5) | -leq(pv5,minus(n999,n1)) | leq(c1,n2) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 403 leq(c1,n2). [copy(402),rewrite([364(3),365(6),366(9),367(12),368(15),369(18),370(21),371(24),372(27),373(31),374(34),375(37),376(39),377(42),378(45),379(48),380(51),381(54),382(57),383(60),384(63),385(66),386(69),387(72),388(75),389(78),390(81),300(88)]),xx(a),xx(b),xx(c),xx(d),xx(e),xx(f),xx(g),xx(h),xx(i),xx(j),xx(k),xx(l),xx(m),xx(n),xx(o),xx(p),xx(q),xx(r),xx(s),xx(t),xx(u),xx(v),xx(w),xx(x),xx(y),xx(z),xx(A),unit_del(a,391),unit_del(b,393)].
% 15.94/16.26 404 a_select2(rho_defuse,n0) != use | a_select2(rho_defuse,n1) != use | a_select2(rho_defuse,n2) != use | a_select2(sigma_defuse,n0) != use | a_select2(sigma_defuse,n1) != use | a_select2(sigma_defuse,n2) != use | a_select2(sigma_defuse,n3) != use | a_select2(sigma_defuse,n4) != use | a_select2(sigma_defuse,n5) != use | a_select3(u_defuse,n0,n0) != use | a_select3(u_defuse,n1,n0) != use | a_select3(u_defuse,n2,n0) != use | a_select2(xinit_defuse,n3) != use | a_select2(xinit_defuse,n4) != use | a_select2(xinit_defuse,n5) != use | a_select2(xinit_mean_defuse,n0) != use | a_select2(xinit_mean_defuse,n1) != use | a_select2(xinit_mean_defuse,n2) != use | a_select2(xinit_mean_defuse,n3) != use | a_select2(xinit_mean_defuse,n4) != use | a_select2(xinit_mean_defuse,n5) != use | a_select2(xinit_noise_defuse,n0) != use | a_select2(xinit_noise_defuse,n1) != use | a_select2(xinit_noise_defuse,n2) != use | a_select2(xinit_noise_defuse,n3) != use | a_select2(xinit_noise_defuse,n4) != use | a_select2(xinit_noise_defuse,n5) != use | -leq(n0,pv5) | -leq(pv5,minus(n999,n1)) | leq(c2,minus(pv5,n1)) # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 405 leq(c2,pred(pv5)). [copy(404),rewrite([364(3),365(6),366(9),367(12),368(15),369(18),370(21),371(24),372(27),373(31),374(34),375(37),376(39),377(42),378(45),379(48),380(51),381(54),382(57),383(60),384(63),385(66),386(69),387(72),388(75),389(78),390(81),300(88),300(92)]),xx(a),xx(b),xx(c),xx(d),xx(e),xx(f),xx(g),xx(h),xx(i),xx(j),xx(k),xx(l),xx(m),xx(n),xx(o),xx(p),xx(q),xx(r),xx(s),xx(t),xx(u),xx(v),xx(w),xx(x),xx(y),xx(z),xx(A),unit_del(a,391),unit_del(b,393)].
% 15.94/16.26 406 a_select2(rho_defuse,n0) != use | a_select2(rho_defuse,n1) != use | a_select2(rho_defuse,n2) != use | a_select2(sigma_defuse,n0) != use | a_select2(sigma_defuse,n1) != use | a_select2(sigma_defuse,n2) != use | a_select2(sigma_defuse,n3) != use | a_select2(sigma_defuse,n4) != use | a_select2(sigma_defuse,n5) != use | a_select3(u_defuse,n0,n0) != use | a_select3(u_defuse,n1,n0) != use | a_select3(u_defuse,n2,n0) != use | a_select2(xinit_defuse,n3) != use | a_select2(xinit_defuse,n4) != use | a_select2(xinit_defuse,n5) != use | a_select2(xinit_mean_defuse,n0) != use | a_select2(xinit_mean_defuse,n1) != use | a_select2(xinit_mean_defuse,n2) != use | a_select2(xinit_mean_defuse,n3) != use | a_select2(xinit_mean_defuse,n4) != use | a_select2(xinit_mean_defuse,n5) != use | a_select2(xinit_noise_defuse,n0) != use | a_select2(xinit_noise_defuse,n1) != use | a_select2(xinit_noise_defuse,n2) != use | a_select2(xinit_noise_defuse,n3) != use | a_select2(xinit_noise_defuse,n4) != use | a_select2(xinit_noise_defuse,n5) != use | -leq(n0,pv5) | -leq(pv5,minus(n999,n1)) | a_select3(u_defuse,c1,c2) != use | a_select3(z_defuse,c1,c2) != use # label(quaternion_ds1_inuse_0011) # label(negated_conjecture). [clausify(56)].
% 15.94/16.26 407 a_select3(u_defuse,c1,c2) != use | a_select3(z_defuse,c1,c2) != use. [copy(406),rewrite([364(3),365(6),366(9),367(12),368(15),369(18),370(21),371(24),372(27),373(31),374(34),375(37),376(39),377(42),378(45),379(48),380(51),381(54),382(57),383(60),384(63),385(66),386(69),387(72),388(75),389(78),390(81),300(88)]),xx(a),xx(b),xx(c),xx(d),xx(e),xx(f),xx(g),xx(h),xx(i),xx(j),xx(k),xx(l),xx(m),xx(n),xx(o),xx(p),xx(q),xx(r),xx(s),xx(t),xx(u),xx(v),xx(w),xx(x),xx(y),xx(z),xx(A),unit_del(a,391),unit_del(b,393)].
% 15.94/16.26 2909 -leq(n0,A) | -leq(A,pred(pv5)) | a_select3(z_defuse,c1,A) = use. [resolve(399,a,397,a),unit_del(b,403)].
% 15.94/16.26 2910 -leq(n0,A) | -leq(A,pred(pv5)) | a_select3(u_defuse,c1,A) = use. [resolve(399,a,395,a),unit_del(b,403)].
% 15.94/16.26 38448 a_select3(z_defuse,c1,c2) = use. [resolve(2909,b,405,a),unit_del(a,401)].
% 15.94/16.26 38450 a_select3(u_defuse,c1,c2) != use. [back_rewrite(407),rewrite([38448(10)]),xx(b)].
% 15.94/16.26 38534 $F. [resolve(2910,b,405,a),unit_del(a,401),unit_del(b,38450)].
% 15.94/16.26
% 15.94/16.26 % SZS output end Refutation
% 15.94/16.26 ============================== end of proof ==========================
% 15.94/16.26
% 15.94/16.26 ============================== STATISTICS ============================
% 15.94/16.26
% 15.94/16.26 Given=2597. Generated=606652. Kept=38452. proofs=1.
% 15.94/16.26 Usable=2565. Sos=9999. Demods=1420. Limbo=9, Disabled=26209. Hints=0.
% 15.94/16.26 Megabytes=37.39.
% 15.94/16.26 User_CPU=14.90, System_CPU=0.32, Wall_clock=15.
% 15.94/16.26
% 15.94/16.26 ============================== end of statistics =====================
% 15.94/16.26
% 15.94/16.26 ============================== end of search =========================
% 15.94/16.26
% 15.94/16.26 THEOREM PROVED
% 15.94/16.26 % SZS status Theorem
% 15.94/16.26
% 15.94/16.26 Exiting with 1 proof.
% 15.94/16.26
% 15.94/16.26 Process 11295 exit (max_proofs) Thu Jun 16 03:31:26 2022
% 15.94/16.26 Prover9 interrupted
%------------------------------------------------------------------------------