TSTP Solution File: SWW956+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 21:00:22 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 00:10:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(pred_attacker_type, type, (
% 0.19/0.39 pred_attacker: $i > $o)).
% 0.19/0.39 tff(constr_dec_type, type, (
% 0.19/0.39 constr_dec: ( $i * $i ) > $i)).
% 0.19/0.39 tff(constr_mod_type, type, (
% 0.19/0.39 constr_mod: ( $i * $i ) > $i)).
% 0.19/0.39 tff(name_P_7_type, type, (
% 0.19/0.39 name_P_7: $i)).
% 0.19/0.39 tff(constr_exp_type, type, (
% 0.19/0.39 constr_exp: ( $i * $i ) > $i)).
% 0.19/0.39 tff(name_Na_type, type, (
% 0.19/0.39 name_Na: $i)).
% 0.19/0.39 tff(name_G_8_type, type, (
% 0.19/0.39 name_G_8: $i)).
% 0.19/0.39 tff(constr_enc_type, type, (
% 0.19/0.39 constr_enc: ( $i * $i ) > $i)).
% 0.19/0.39 tff(name_objective_type, type, (
% 0.19/0.39 name_objective: $i)).
% 0.19/0.39 tff(tuple_A_out_4_type, type, (
% 0.19/0.39 tuple_A_out_4: $i > $i)).
% 0.19/0.39 tff(tuple_A_in_3_type, type, (
% 0.19/0.39 tuple_A_in_3: $i > $i)).
% 0.19/0.39 tff(tuple_A_out_1_type, type, (
% 0.19/0.39 tuple_A_out_1: ( $i * $i ) > $i)).
% 0.19/0.39 tff(tuple_A_out_2_type, type, (
% 0.19/0.39 tuple_A_out_2: $i > $i)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (^[VAR_K_0X30: $i, VAR_M_0X30: $i] : refl((constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30) <=> (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30) <=> ![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)),
% 0.19/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30) <=> ![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,axiom,(![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax55')).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.39 tff(6,plain,(
% 0.19/0.39 ![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)),
% 0.19/0.39 inference(skolemize,[status(sab)],[5])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 ((~![VAR_K_0X30: $i, VAR_M_0X30: $i] : (constr_dec(constr_enc(VAR_M_0X30, VAR_K_0X30), VAR_K_0X30) = VAR_M_0X30)) | (constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) = name_objective)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) = name_objective),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) <=> pred_attacker(name_objective)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[9])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (pred_attacker(name_objective) <=> pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.39 inference(symmetry,[status(thm)],[10])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 ((~pred_attacker(name_objective)) <=> (~pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[11])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(14,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co0')).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (~pred_attacker(name_objective)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.40 (~pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.19/0.40 tff(17,assumption,(~pred_attacker(tuple_A_in_3(name_G_8))), introduced(assumption)).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (pred_attacker(tuple_A_out_1(name_P_7, name_G_8)) <=> pred_attacker(tuple_A_out_1(name_P_7, name_G_8))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(19,axiom,(pred_attacker(tuple_A_out_1(name_P_7, name_G_8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax89')).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (pred_attacker(tuple_A_out_1(name_P_7, name_G_8))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (^[VAR_V_97: $i, VAR_V_98: $i] : refl((pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)))) <=> (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)))) <=> ![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[21])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)))) <=> ![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 (^[VAR_V_97: $i, VAR_V_98: $i] : rewrite((pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)) => pred_attacker(VAR_V_98)) <=> (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)) => pred_attacker(VAR_V_98)) <=> ![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.40 tff(26,axiom,(![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98)) => pred_attacker(VAR_V_98))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax81')).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.19/0.40 tff(29,plain,(
% 0.19/0.40 ![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[28])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 (![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 (((~![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))) | (pred_attacker(name_G_8) | (~pred_attacker(tuple_A_out_1(name_P_7, name_G_8))))) <=> ((~![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))) | pred_attacker(name_G_8) | (~pred_attacker(tuple_A_out_1(name_P_7, name_G_8))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 ((~![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))) | (pred_attacker(name_G_8) | (~pred_attacker(tuple_A_out_1(name_P_7, name_G_8))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 ((~![VAR_V_97: $i, VAR_V_98: $i] : (pred_attacker(VAR_V_98) | (~pred_attacker(tuple_A_out_1(VAR_V_97, VAR_V_98))))) | pred_attacker(name_G_8) | (~pred_attacker(tuple_A_out_1(name_P_7, name_G_8)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (pred_attacker(name_G_8)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[33, 30, 20])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 (^[VAR_V_10X301: $i] : refl(((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301))) <=> ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301))) <=> ![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[35])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301))) <=> ![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 (^[VAR_V_10X301: $i] : rewrite((pred_attacker(VAR_V_10X301) => pred_attacker(tuple_A_in_3(VAR_V_10X301))) <=> ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : (pred_attacker(VAR_V_10X301) => pred_attacker(tuple_A_in_3(VAR_V_10X301))) <=> ![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.19/0.40 tff(40,axiom,(![VAR_V_10X301: $i] : (pred_attacker(VAR_V_10X301) => pred_attacker(tuple_A_in_3(VAR_V_10X301)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax82')).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.19/0.40 tff(43,plain,(
% 0.19/0.40 ![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[42])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (((~![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))) | ((~pred_attacker(name_G_8)) | pred_attacker(tuple_A_in_3(name_G_8)))) <=> ((~![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))) | (~pred_attacker(name_G_8)) | pred_attacker(tuple_A_in_3(name_G_8)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 ((~![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))) | ((~pred_attacker(name_G_8)) | pred_attacker(tuple_A_in_3(name_G_8)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 ((~![VAR_V_10X301: $i] : ((~pred_attacker(VAR_V_10X301)) | pred_attacker(tuple_A_in_3(VAR_V_10X301)))) | (~pred_attacker(name_G_8)) | pred_attacker(tuple_A_in_3(name_G_8))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[47, 44, 34, 17])).
% 0.19/0.40 tff(49,plain,(pred_attacker(tuple_A_in_3(name_G_8))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (^[VAR_B_186: $i] : refl(((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))) <=> ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 (![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))) <=> ![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[50])).
% 0.19/0.40 tff(52,plain,
% 0.19/0.40 (![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))) <=> ![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (^[VAR_B_186: $i] : rewrite((pred_attacker(tuple_A_in_3(VAR_B_186)) => pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))) <=> ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(54,plain,
% 0.19/0.40 (![VAR_B_186: $i] : (pred_attacker(tuple_A_in_3(VAR_B_186)) => pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7))))) <=> ![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[53])).
% 0.19/0.40 tff(55,axiom,(![VAR_B_186: $i] : (pred_attacker(tuple_A_in_3(VAR_B_186)) => pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax91')).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 (![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 (![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.19/0.40 tff(58,plain,(
% 0.19/0.40 ![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[57])).
% 0.19/0.40 tff(59,plain,
% 0.19/0.40 (![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.19/0.40 tff(60,plain,
% 0.19/0.40 (((~![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))) | ((~pred_attacker(tuple_A_in_3(name_G_8))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))) <=> ((~![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))) | (~pred_attacker(tuple_A_in_3(name_G_8))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 ((~![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))) | ((~pred_attacker(tuple_A_in_3(name_G_8))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(62,plain,
% 0.19/0.40 ((~![VAR_B_186: $i] : ((~pred_attacker(tuple_A_in_3(VAR_B_186))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(VAR_B_186, name_Na), name_P_7)))))) | (~pred_attacker(tuple_A_in_3(name_G_8))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.19/0.40 tff(63,plain,
% 0.19/0.40 ((~pred_attacker(tuple_A_in_3(name_G_8))) | pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[62, 59])).
% 0.19/0.40 tff(64,plain,
% 0.19/0.40 (pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[63, 49])).
% 0.19/0.40 tff(65,plain,
% 0.19/0.40 (^[VAR_V_76: $i] : refl((pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76)))) <=> (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(66,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76)))) <=> ![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[65])).
% 0.19/0.40 tff(67,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76)))) <=> ![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(68,plain,
% 0.19/0.40 (^[VAR_V_76: $i] : rewrite((pred_attacker(tuple_A_out_4(VAR_V_76)) => pred_attacker(VAR_V_76)) <=> (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(69,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(tuple_A_out_4(VAR_V_76)) => pred_attacker(VAR_V_76)) <=> ![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[68])).
% 0.19/0.40 tff(70,axiom,(![VAR_V_76: $i] : (pred_attacker(tuple_A_out_4(VAR_V_76)) => pred_attacker(VAR_V_76))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax76')).
% 0.19/0.40 tff(71,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.19/0.40 tff(72,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.19/0.40 tff(73,plain,(
% 0.19/0.40 ![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[72])).
% 0.19/0.40 tff(74,plain,
% 0.19/0.40 (![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.19/0.40 tff(75,plain,
% 0.19/0.40 (((~![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))) | (pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))))) <=> ((~![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))) | pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(76,plain,
% 0.19/0.40 ((~![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))) | (pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(77,plain,
% 0.19/0.40 ((~![VAR_V_76: $i] : (pred_attacker(VAR_V_76) | (~pred_attacker(tuple_A_out_4(VAR_V_76))))) | pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(tuple_A_out_4(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.19/0.40 tff(78,plain,
% 0.19/0.40 (pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[77, 74, 64])).
% 0.19/0.40 tff(79,plain,
% 0.19/0.40 (pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) <=> pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(80,axiom,(pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax90')).
% 0.19/0.40 tff(81,plain,
% 0.19/0.40 (pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.40 tff(82,plain,
% 0.19/0.40 (^[VAR_V_82: $i] : refl((pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82)))) <=> (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(83,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82)))) <=> ![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[82])).
% 0.19/0.40 tff(84,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82)))) <=> ![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(85,plain,
% 0.19/0.40 (^[VAR_V_82: $i] : rewrite((pred_attacker(tuple_A_out_2(VAR_V_82)) => pred_attacker(VAR_V_82)) <=> (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(86,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(tuple_A_out_2(VAR_V_82)) => pred_attacker(VAR_V_82)) <=> ![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[85])).
% 0.19/0.40 tff(87,axiom,(![VAR_V_82: $i] : (pred_attacker(tuple_A_out_2(VAR_V_82)) => pred_attacker(VAR_V_82))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax78')).
% 0.19/0.40 tff(88,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.19/0.40 tff(89,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.19/0.40 tff(90,plain,(
% 0.19/0.40 ![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[89])).
% 0.19/0.40 tff(91,plain,
% 0.19/0.40 (![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.19/0.40 tff(92,plain,
% 0.19/0.40 (((~![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))) | (pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) | (~pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))) <=> ((~![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))) | pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) | (~pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(93,plain,
% 0.19/0.40 ((~![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))) | (pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) | (~pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(94,plain,
% 0.19/0.40 ((~![VAR_V_82: $i] : (pred_attacker(VAR_V_82) | (~pred_attacker(tuple_A_out_2(VAR_V_82))))) | pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7)) | (~pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.19/0.40 tff(95,plain,
% 0.19/0.40 (pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[94, 91, 81])).
% 0.19/0.40 tff(96,plain,
% 0.19/0.40 (^[VAR_V_42: $i, VAR_V_43: $i] : refl((pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))) <=> (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(97,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))) <=> ![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[96])).
% 0.19/0.40 tff(98,plain,
% 0.19/0.40 (^[VAR_V_42: $i, VAR_V_43: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)) <=> (~((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))))), ((~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))) <=> (~(~((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))))))), rewrite((~(~((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))))) <=> ((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))), ((~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))) <=> ((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42))))), ((pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)))) <=> (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | ((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))))), rewrite((pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | ((~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))) <=> (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))), ((pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)))) <=> (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(99,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)))) <=> ![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[98])).
% 0.19/0.40 tff(100,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)))) <=> ![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(101,plain,
% 0.19/0.40 (^[VAR_V_42: $i, VAR_V_43: $i] : rewrite(((pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)) => pred_attacker(constr_dec(VAR_V_42, VAR_V_43))) <=> (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(102,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : ((pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)) => pred_attacker(constr_dec(VAR_V_42, VAR_V_43))) <=> ![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[101])).
% 0.19/0.40 tff(103,axiom,(![VAR_V_42: $i, VAR_V_43: $i] : ((pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43)) => pred_attacker(constr_dec(VAR_V_42, VAR_V_43)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax62')).
% 0.19/0.40 tff(104,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.19/0.40 tff(105,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.19/0.40 tff(106,plain,(
% 0.19/0.40 ![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~(pred_attacker(VAR_V_42) & pred_attacker(VAR_V_43))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[105])).
% 0.19/0.40 tff(107,plain,
% 0.19/0.40 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[106, 99])).
% 0.19/0.41 tff(108,plain,
% 0.19/0.41 (![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[107, 97])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 (((~![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))) | (pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))) <=> ((~![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))) | pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 ((~![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))) | (pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 ((~![VAR_V_42: $i, VAR_V_43: $i] : (pred_attacker(constr_dec(VAR_V_42, VAR_V_43)) | (~pred_attacker(VAR_V_43)) | (~pred_attacker(VAR_V_42)))) | pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_mod(constr_exp(name_G_8, name_Na), name_P_7))) | (~pred_attacker(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.19/0.41 tff(112,plain,
% 0.19/0.41 (pred_attacker(constr_dec(constr_enc(name_objective, constr_mod(constr_exp(name_G_8, name_Na), name_P_7)), constr_mod(constr_exp(name_G_8, name_Na), name_P_7)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[111, 108, 95, 78])).
% 0.19/0.41 tff(113,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[112, 16])).
% 0.19/0.41 % SZS output end Proof
%------------------------------------------------------------------------------