TSTP Solution File: SWV055+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : 300s
% DateTime : Thu Sep 29 15:09:47 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n018.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 : 300
% 0.13/0.33 % DateTime : Sun Sep 4 01:18:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % SZS output start Proof
% 0.20/0.46 tff(gt_type, type, (
% 0.20/0.46 gt: ( $i * $i ) > $o)).
% 0.20/0.46 tff(succ_type, type, (
% 0.20/0.46 succ: $i > $i)).
% 0.20/0.46 tff(tptp_minus_1_type, type, (
% 0.20/0.46 tptp_minus_1: $i)).
% 0.20/0.46 tff(leq_type, type, (
% 0.20/0.46 leq: ( $i * $i ) > $o)).
% 0.20/0.46 tff(tptp_fun_C_14_type, type, (
% 0.20/0.46 tptp_fun_C_14: $i)).
% 0.20/0.46 tff(minus_type, type, (
% 0.20/0.46 minus: ( $i * $i ) > $i)).
% 0.20/0.46 tff(pred_type, type, (
% 0.20/0.46 pred: $i > $i)).
% 0.20/0.46 tff(n1_type, type, (
% 0.20/0.46 n1: $i)).
% 0.20/0.46 tff(divide_type, type, (
% 0.20/0.46 divide: ( $i * $i ) > $i)).
% 0.20/0.46 tff(sum_type, type, (
% 0.20/0.46 sum: ( $i * $i * $i ) > $i)).
% 0.20/0.46 tff(sqrt_type, type, (
% 0.20/0.46 sqrt: $i > $i)).
% 0.20/0.46 tff(times_type, type, (
% 0.20/0.46 times: ( $i * $i ) > $i)).
% 0.20/0.46 tff(a_select2_type, type, (
% 0.20/0.46 a_select2: ( $i * $i ) > $i)).
% 0.20/0.46 tff(pv10_type, type, (
% 0.20/0.46 pv10: $i)).
% 0.20/0.46 tff(x_type, type, (
% 0.20/0.46 x: $i)).
% 0.20/0.46 tff(a_select3_type, type, (
% 0.20/0.46 a_select3: ( $i * $i * $i ) > $i)).
% 0.20/0.46 tff(tptp_fun_D_13_type, type, (
% 0.20/0.46 tptp_fun_D_13: $i)).
% 0.20/0.46 tff(center_type, type, (
% 0.20/0.46 center: $i)).
% 0.20/0.46 tff(q_type, type, (
% 0.20/0.46 q: $i)).
% 0.20/0.46 tff(tptp_fun_E_16_type, type, (
% 0.20/0.46 tptp_fun_E_16: $i)).
% 0.20/0.46 tff(tptp_fun_F_15_type, type, (
% 0.20/0.46 tptp_fun_F_15: $i)).
% 0.20/0.46 tff(n5_type, type, (
% 0.20/0.46 n5: $i)).
% 0.20/0.46 tff(n0_type, type, (
% 0.20/0.46 n0: $i)).
% 0.20/0.46 tff(n135300_type, type, (
% 0.20/0.46 n135300: $i)).
% 0.20/0.46 tff(1,plain,
% 0.20/0.46 (^[X: $i] : refl((minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(2,plain,
% 0.20/0.46 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.46 tff(3,plain,
% 0.20/0.46 (^[X: $i] : rewrite((minus(X, n1) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(4,plain,
% 0.20/0.46 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.46 tff(5,plain,
% 0.20/0.46 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(6,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.20/0.46 tff(7,plain,
% 0.20/0.46 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.46 tff(8,plain,
% 0.20/0.46 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.20/0.46 tff(9,plain,(
% 0.20/0.46 ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.46 inference(skolemize,[status(sab)],[8])).
% 0.20/0.46 tff(10,plain,
% 0.20/0.46 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.46 tff(11,plain,
% 0.20/0.46 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))) = pred(succ(tptp_minus_1)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(12,plain,
% 0.20/0.46 (minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))) = pred(succ(tptp_minus_1))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.20/0.46 tff(13,plain,
% 0.20/0.46 (pred(succ(tptp_minus_1)) = minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.20/0.46 inference(symmetry,[status(thm)],[12])).
% 0.20/0.46 tff(14,plain,
% 0.20/0.46 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(15,plain,
% 0.20/0.46 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(16,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 0.20/0.46 tff(17,plain,
% 0.20/0.46 (![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.46 tff(18,plain,(
% 0.20/0.46 ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.46 inference(skolemize,[status(sab)],[17])).
% 0.20/0.46 tff(19,plain,
% 0.20/0.46 (![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.20/0.46 tff(20,plain,
% 0.20/0.46 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(tptp_minus_1)) = tptp_minus_1)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(21,plain,
% 0.20/0.46 (pred(succ(tptp_minus_1)) = tptp_minus_1),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.20/0.46 tff(22,plain,
% 0.20/0.47 (tptp_minus_1 = pred(succ(tptp_minus_1))),
% 0.20/0.47 inference(symmetry,[status(thm)],[21])).
% 0.20/0.47 tff(23,plain,
% 0.20/0.47 (tptp_minus_1 = minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.20/0.47 inference(transitivity,[status(thm)],[22, 13])).
% 0.20/0.47 tff(24,plain,
% 0.20/0.47 (leq(C!14, tptp_minus_1) <=> leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[23])).
% 0.20/0.47 tff(25,plain,
% 0.20/0.47 (leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) <=> leq(C!14, tptp_minus_1)),
% 0.20/0.47 inference(symmetry,[status(thm)],[24])).
% 0.20/0.47 tff(26,assumption,(~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.20/0.47 tff(27,plain,
% 0.20/0.47 (((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(28,plain,
% 0.20/0.47 (leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.20/0.47 tff(29,plain,
% 0.20/0.47 (((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), E!16)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(30,plain,
% 0.20/0.47 (leq(succ(tptp_minus_1), E!16)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[29, 26])).
% 0.20/0.47 tff(31,plain,
% 0.20/0.47 (((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (~(sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(32,plain,
% 0.20/0.47 (~(sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[31, 26])).
% 0.20/0.47 tff(33,plain,
% 0.20/0.47 (^[A: $i, B: $i] : refl(((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(34,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.47 tff(35,plain,
% 0.20/0.47 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))), ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))) <=> (((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))))), rewrite((((~leq(succ(tptp_minus_1), A)) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))) <=> ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))), (((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))) <=> ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(36,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[35])).
% 0.20/0.47 tff(37,plain,
% 0.20/0.47 (^[A: $i, B: $i] : rewrite(((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1)) <=> ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(38,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1)) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[37])).
% 0.20/0.47 tff(39,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1)) <=> ![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(40,plain,
% 0.20/0.47 ((~(((leq(n0, pv10) & leq(pv10, minus(n135300, n1))) & ![A: $i, B: $i] : ((leq(n0, A) & leq(A, minus(pv10, n1))) => (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))) => (((leq(n0, pv10) & leq(pv10, minus(n135300, n1))) & ![C: $i, D: $i] : ((leq(n0, C) & leq(C, minus(n0, n1))) => (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10))))))))) & ![E: $i, F: $i] : ((leq(n0, E) & leq(E, minus(pv10, n1))) => (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))) <=> (~((~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1)))) | (leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(41,axiom,(~(((leq(n0, pv10) & leq(pv10, minus(n135300, n1))) & ![A: $i, B: $i] : ((leq(n0, A) & leq(A, minus(pv10, n1))) => (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))) => (((leq(n0, pv10) & leq(pv10, minus(n135300, n1))) & ![C: $i, D: $i] : ((leq(n0, C) & leq(C, minus(n0, n1))) => (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10))))))))) & ![E: $i, F: $i] : ((leq(n0, E) & leq(E, minus(pv10, n1))) => (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cl5_nebula_norm_0037')).
% 0.20/0.47 tff(42,plain,
% 0.20/0.47 (~((~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1)))) | (leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.47 tff(43,plain,
% 0.20/0.47 (leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))),
% 0.20/0.47 inference(or_elim,[status(thm)],[42])).
% 0.20/0.47 tff(44,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))),
% 0.20/0.47 inference(and_elim,[status(thm)],[43])).
% 0.20/0.47 tff(45,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(n0, A) & leq(A, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, A, B)) = n1))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[44, 39])).
% 0.20/0.47 tff(46,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.20/0.47 tff(47,plain,(
% 0.20/0.47 ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[46])).
% 0.20/0.47 tff(48,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[47, 36])).
% 0.20/0.47 tff(49,plain,
% 0.20/0.47 (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[48, 34])).
% 0.20/0.47 tff(50,plain,
% 0.20/0.47 (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | ((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(51,plain,
% 0.20/0.47 (((~leq(succ(tptp_minus_1), E!16)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) <=> ((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(52,plain,
% 0.20/0.47 (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | ((~leq(succ(tptp_minus_1), E!16)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | ((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[51])).
% 0.20/0.47 tff(53,plain,
% 0.20/0.47 (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | ((~leq(succ(tptp_minus_1), E!16)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[52, 50])).
% 0.20/0.47 tff(54,plain,
% 0.20/0.47 ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | ((~leq(succ(tptp_minus_1), E!16)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(55,plain,
% 0.20/0.47 ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, A, B)) = succ(succ(tptp_minus_1))) | (~leq(A, minus(pv10, succ(succ(tptp_minus_1))))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.47 tff(56,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[55, 49, 32, 30, 28])).
% 0.20/0.47 tff(57,plain,((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(58,plain,
% 0.20/0.47 (((~((a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))))) <=> ((~((a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(59,plain,
% 0.20/0.47 ((~((~(leq(succ(tptp_minus_1), E!16) & leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))))) <=> (~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(60,plain,
% 0.20/0.47 ((~((~(leq(succ(tptp_minus_1), C!14) & leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))))) <=> (~((a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(61,plain,
% 0.20/0.48 (((~((~(leq(succ(tptp_minus_1), C!14) & leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))))) | (~((~(leq(succ(tptp_minus_1), E!16) & leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1)))))) <=> ((~((a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[60, 59])).
% 0.20/0.48 tff(62,plain,
% 0.20/0.48 (((~((~(leq(succ(tptp_minus_1), C!14) & leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))))) | (~((~(leq(succ(tptp_minus_1), E!16) & leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1)))))) <=> ((~((a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(E!16, minus(pv10, succ(succ(tptp_minus_1))))))))),
% 0.20/0.48 inference(transitivity,[status(thm)],[61, 58])).
% 0.20/0.48 tff(63,plain,
% 0.20/0.48 (((~((~(leq(succ(tptp_minus_1), C!14) & leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))))) | (~((~(leq(succ(tptp_minus_1), E!16) & leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1)))))) <=> ((~((~(leq(succ(tptp_minus_1), C!14) & leq(C!14, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C!14) = divide(sqrt(times(minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C!14, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D!13, succ(tptp_minus_1)), a_select2(x, pv10))))))))) | (~((~(leq(succ(tptp_minus_1), E!16) & leq(E!16, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E!16, F!15)) = succ(succ(tptp_minus_1))))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(64,plain,
% 0.20/0.48 ((![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1))))) <=> (![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(65,plain,
% 0.20/0.48 ((~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))) <=> (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1))))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[64])).
% 0.20/0.48 tff(66,plain,
% 0.20/0.48 ((~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))) <=> (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1))))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(67,plain,
% 0.20/0.48 ((![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))) <=> (![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(68,plain,
% 0.20/0.48 ((~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))) <=> (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[67])).
% 0.20/0.49 tff(69,plain,
% 0.20/0.49 ((~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))) <=> (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(70,plain,
% 0.20/0.49 ((~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))) <=> (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(71,plain,
% 0.20/0.49 ((leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))) <=> (leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(72,plain,
% 0.20/0.49 ((~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))) <=> (~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[71])).
% 0.20/0.49 tff(73,plain,
% 0.20/0.49 (~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(or_elim,[status(thm)],[42])).
% 0.20/0.49 tff(74,plain,
% 0.20/0.49 (~(leq(n0, pv10) & leq(pv10, minus(n135300, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.20/0.49 tff(75,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.20/0.49 tff(76,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[75, 69])).
% 0.20/0.49 tff(77,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(n0, C) & leq(C, minus(n0, n1)))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, n0), a_select2(x, pv10)), minus(a_select3(center, C, n0), a_select2(x, pv10)))), sum(n0, minus(n5, n1), sqrt(times(minus(a_select3(center, D, n0), a_select2(x, pv10)), minus(a_select3(center, D, n0), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(E, minus(pv10, n1)))) | (sum(n0, minus(n5, n1), a_select3(q, E, F)) = n1)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[76, 68])).
% 0.20/0.49 tff(78,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[77, 66])).
% 0.20/0.49 tff(79,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[78, 65])).
% 0.20/0.49 tff(80,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[79, 65])).
% 0.20/0.49 tff(81,plain,
% 0.20/0.49 (~(![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select3(q, pv10, C) = divide(sqrt(times(minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, C, succ(tptp_minus_1)), a_select2(x, pv10)))), sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), sqrt(times(minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)), minus(a_select3(center, D, succ(tptp_minus_1)), a_select2(x, pv10)))))))) & ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(pv10, succ(succ(tptp_minus_1)))))) | (sum(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1))), a_select3(q, E, F)) = succ(succ(tptp_minus_1)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[80, 65])).
% 0.20/0.49 unexpected number of arguments: (let ((a!1 (forall ((C $i) (D $i))
% 0.20/0.49 (let ((a!1 (leq C
% 0.20/0.49 (minus (succ tptp_minus_1)
% 0.20/0.49 (succ (succ tptp_minus_1)))))
% 0.20/0.49 (a!3 (times (minus (a_select3 center C (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))
% 0.20/0.49 (minus (a_select3 center C (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))))
% 0.20/0.49 (a!4 (succ (succ (succ (succ tptp_minus_1)))))
% 0.20/0.49 (a!5 (times (minus (a_select3 center D (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))
% 0.20/0.49 (minus (a_select3 center D (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10)))))
% 0.20/0.49 (let ((a!2 (not (and (leq (succ tptp_minus_1) C) a!1)))
% 0.20/0.49 (a!6 (sum (succ tptp_minus_1)
% 0.20/0.49 (minus (succ (succ a!4))
% 0.20/0.49 (succ (succ tptp_minus_1)))
% 0.20/0.49 (sqrt a!5))))
% 0.20/0.49 (or a!2 (= (a_select3 q pv10 C) (divide (sqrt a!3) a!6)))))))
% 0.20/0.49 (a!2 (leq C!14 (minus (succ tptp_minus_1) (succ (succ tptp_minus_1)))))
% 0.20/0.49 (a!4 (times (minus (a_select3 center C!14 (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))
% 0.20/0.49 (minus (a_select3 center C!14 (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))))
% 0.20/0.49 (a!5 (succ (succ (succ (succ tptp_minus_1)))))
% 0.20/0.49 (a!6 (times (minus (a_select3 center D!13 (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))
% 0.20/0.49 (minus (a_select3 center D!13 (succ tptp_minus_1))
% 0.20/0.49 (a_select2 x pv10))))
% 0.20/0.49 (a!9 (forall ((E $i) (F $i))
% 0.20/0.49 (let ((a!1 (leq E (minus pv10 (succ (succ tptp_minus_1)))))
% 0.20/0.49 (a!3 (succ (succ (succ (succ tptp_minus_1))))))
% 0.20/0.49 (let ((a!2 (not (and (leq (succ tptp_minus_1) E) a!1)))
% 0.20/0.49 (a!4 (sum (succ tptp_minus_1)
% 0.20/0.49 (minus (succ (succ a!3))
% 0.20/0.49 (succ (succ tptp_minus_1)))
% 0.20/0.49 (a_select3 q E F))))
% 0.20/0.49 (or a!2 (= a!4 (succ (succ tptp_minus_1))))))))
% 0.20/0.49 (a!10 (leq E!16 (minus pv10 (succ (succ tptp_minus_1))))))
% 0.20/0.49 (let ((a!3 (not (and (leq (succ tptp_minus_1) C!14) a!2)))
% 0.20/0.49 (a!7 (sum (succ tptp_minus_1)
% 0.20/0.49 (minus (succ (succ a!5)) (succ (succ tptp_minus_1)))
% 0.20/0.49 (sqrt a!6)))
% 0.20/0.49 (a!11 (not (and (leq (succ tptp_minus_1) E!16) a!10)))
% 0.20/0.49 (a!12 (sum (succ tptp_minus_1)
% 0.20/0.49 (minus (succ (succ a!5)) (succ (succ tptp_minus_1)))
% 0.20/0.49 (a_select3 q E!16 F!15))))
% 0.20/0.49 (let ((a!8 (or a!3 (= (a_select3 q pv10 C!14) (divide (sqrt a!4) a!7))))
% 0.20/0.49 (a!13 (or a!11 (= a!12 (succ (succ tptp_minus_1))))))
% 0.20/0.49 (nnf-neg (sk (~ (not a!1) (not a!8)))
% 0.20/0.49 (sk (~ (not a!9) (not a!13)))
% 0.20/0.49 (~ (not (and a!1 a!9)) (or (not a!8) (not a!13)))))))
% 0.20/0.49 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------