TSTP Solution File: SWW949+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW949+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 : Tue Aug 22 11:08:23 EDT 2023
% Result : Theorem 48.10s 35.74s
% Output : CNFRefutation 48.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 103 ( 41 unt; 32 typ; 0 def)
% Number of atoms : 111 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 43 ~; 30 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 17 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 88 (; 88 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pred_mess > pred_equal > pred_attacker > tuple_knowledge_from_1st_round_out_2 > tuple_R_in_2 > constr_xor > constr_f > #nlpp > tuple_knowledge_from_1st_round_out_3 > tuple_knowledge_from_1st_round_out_1 > tuple_R_out_4 > tuple_R_out_3 > tuple_R_out_1 > name_new0x2Dname > constr_cyc_shr_quart_len > constr_cyc_shr_half_len > constr_cyc_shl_quart_len > constr_cyc_shl_half_len > tuple_true > tuple_false > name_u > name_t > name_r2_from_1st > name_r1_from_1st > name_r1 > name_objective > name_c > constr_ZERO > constr_CONST_4 > constr_CONST_3 > constr_CONST_2 > constr_CONST_1 > constr_CONST_0x30
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(constr_cyc_shl_half_len,type,
constr_cyc_shl_half_len: $i > $i ).
tff(pred_mess,type,
pred_mess: ( $i * $i ) > $o ).
tff(name_c,type,
name_c: $i ).
tff(pred_equal,type,
pred_equal: ( $i * $i ) > $o ).
tff(name_objective,type,
name_objective: $i ).
tff(tuple_knowledge_from_1st_round_out_1,type,
tuple_knowledge_from_1st_round_out_1: $i > $i ).
tff(tuple_knowledge_from_1st_round_out_3,type,
tuple_knowledge_from_1st_round_out_3: $i > $i ).
tff(constr_cyc_shr_quart_len,type,
constr_cyc_shr_quart_len: $i > $i ).
tff(tuple_R_in_2,type,
tuple_R_in_2: ( $i * $i ) > $i ).
tff(constr_CONST_2,type,
constr_CONST_2: $i ).
tff(name_r2_from_1st,type,
name_r2_from_1st: $i ).
tff(tuple_R_out_3,type,
tuple_R_out_3: $i > $i ).
tff(constr_cyc_shl_quart_len,type,
constr_cyc_shl_quart_len: $i > $i ).
tff(pred_attacker,type,
pred_attacker: $i > $o ).
tff(tuple_false,type,
tuple_false: $i ).
tff(tuple_knowledge_from_1st_round_out_2,type,
tuple_knowledge_from_1st_round_out_2: ( $i * $i ) > $i ).
tff(name_u,type,
name_u: $i ).
tff(constr_cyc_shr_half_len,type,
constr_cyc_shr_half_len: $i > $i ).
tff(name_t,type,
name_t: $i ).
tff(tuple_R_out_4,type,
tuple_R_out_4: $i > $i ).
tff(name_r1,type,
name_r1: $i ).
tff(name_r1_from_1st,type,
name_r1_from_1st: $i ).
tff(constr_ZERO,type,
constr_ZERO: $i ).
tff(constr_CONST_4,type,
constr_CONST_4: $i ).
tff(constr_f,type,
constr_f: ( $i * $i ) > $i ).
tff(constr_CONST_0x30,type,
constr_CONST_0x30: $i ).
tff(tuple_R_out_1,type,
tuple_R_out_1: $i > $i ).
tff(constr_CONST_3,type,
constr_CONST_3: $i ).
tff(constr_CONST_1,type,
constr_CONST_1: $i ).
tff(constr_xor,type,
constr_xor: ( $i * $i ) > $i ).
tff(name_new0x2Dname,type,
name_new0x2Dname: $i > $i ).
tff(tuple_true,type,
tuple_true: $i ).
tff(f_328,negated_conjecture,
~ pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
tff(f_315,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r1_from_1st)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
tff(f_230,axiom,
! [VAR_V_59] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(VAR_V_59))
=> pred_attacker(VAR_V_59) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
tff(f_191,axiom,
! [VAR_X_7,VAR_Y_8] : ( constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
tff(f_316,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_2(constr_xor(name_t,name_r2_from_1st),constr_f(constr_xor(name_r1_from_1st,name_r2_from_1st),name_t))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
tff(f_222,axiom,
! [VAR_V_52,VAR_V_53] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(VAR_V_52,VAR_V_53))
=> pred_attacker(VAR_V_53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
tff(f_189,axiom,
! [VAR_X_9] : ( constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
tff(f_187,axiom,
! [VAR_X_10X30] : ( constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
tff(f_193,axiom,
! [VAR_X_0X30,VAR_Y_0X30,VAR_Z_0X30] : ( constr_xor(VAR_X_0X30,constr_xor(VAR_Y_0X30,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_0X30,VAR_Y_0X30),VAR_Z_0X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
tff(f_218,axiom,
! [VAR_V_49,VAR_V_50X30] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(VAR_V_49,VAR_V_50X30))
=> pred_attacker(VAR_V_49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
tff(f_199,axiom,
! [VAR_V_30X30,VAR_V_31] :
( ( pred_attacker(VAR_V_30X30)
& pred_attacker(VAR_V_31) )
=> pred_attacker(constr_xor(VAR_V_30X30,VAR_V_31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
tff(f_318,axiom,
pred_attacker(tuple_R_out_1(name_r1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
tff(f_278,axiom,
! [VAR_V_89] :
( pred_attacker(tuple_R_out_1(VAR_V_89))
=> pred_attacker(VAR_V_89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
tff(f_284,axiom,
! [VAR_V_93,VAR_V_94] :
( ( pred_attacker(VAR_V_93)
& pred_attacker(VAR_V_94) )
=> pred_attacker(tuple_R_in_2(VAR_V_93,VAR_V_94)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
tff(f_326,axiom,
! [VAR_M1_IN_250X30] :
( pred_attacker(tuple_R_in_2(VAR_M1_IN_250X30,constr_f(constr_xor(name_r1,constr_xor(VAR_M1_IN_250X30,name_t)),name_t)))
=> pred_attacker(tuple_R_out_4(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
tff(f_262,axiom,
! [VAR_V_77] :
( pred_attacker(tuple_R_out_4(VAR_V_77))
=> pred_attacker(VAR_V_77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
tff(c_248,plain,
~ pred_attacker(name_objective),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_236,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r1_from_1st)),
inference(cnfTransformation,[status(thm)],[f_315]) ).
tff(c_288,plain,
! [VAR_V_59_56] :
( pred_attacker(VAR_V_59_56)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(VAR_V_59_56)) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_296,plain,
pred_attacker(name_r1_from_1st),
inference(resolution,[status(thm)],[c_236,c_288]) ).
tff(c_162,plain,
! [VAR_Y_8_4,VAR_X_7_3] : ( constr_xor(VAR_Y_8_4,VAR_X_7_3) = constr_xor(VAR_X_7_3,VAR_Y_8_4) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_238,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(constr_xor(name_t,name_r2_from_1st),constr_f(constr_xor(name_r1_from_1st,name_r2_from_1st),name_t))),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_249,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(constr_xor(name_r2_from_1st,name_t),constr_f(constr_xor(name_r1_from_1st,name_r2_from_1st),name_t))),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_238]) ).
tff(c_178,plain,
! [VAR_V_53_17,VAR_V_52_16] :
( pred_attacker(VAR_V_53_17)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(VAR_V_52_16,VAR_V_53_17)) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_905,plain,
pred_attacker(constr_f(constr_xor(name_r1_from_1st,name_r2_from_1st),name_t)),
inference(resolution,[status(thm)],[c_249,c_178]) ).
tff(c_321,plain,
! [VAR_Y_8_66,VAR_X_7_67] : ( constr_xor(VAR_Y_8_66,VAR_X_7_67) = constr_xor(VAR_X_7_67,VAR_Y_8_66) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_160,plain,
! [VAR_X_9_2] : ( constr_xor(VAR_X_9_2,constr_ZERO) = VAR_X_9_2 ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_337,plain,
! [VAR_X_7_67] : ( constr_xor(constr_ZERO,VAR_X_7_67) = VAR_X_7_67 ),
inference(superposition,[status(thm),theory(equality)],[c_321,c_160]) ).
tff(c_158,plain,
! [VAR_X_10X30_1] : ( constr_xor(VAR_X_10X30_1,VAR_X_10X30_1) = constr_ZERO ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_471,plain,
! [VAR_X_0X30_87,VAR_Y_0X30_88,VAR_Z_0X30_89] : ( constr_xor(constr_xor(VAR_X_0X30_87,VAR_Y_0X30_88),VAR_Z_0X30_89) = constr_xor(VAR_X_0X30_87,constr_xor(VAR_Y_0X30_88,VAR_Z_0X30_89)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_527,plain,
! [VAR_X_10X30_1,VAR_Z_0X30_89] : ( constr_xor(VAR_X_10X30_1,constr_xor(VAR_X_10X30_1,VAR_Z_0X30_89)) = constr_xor(constr_ZERO,VAR_Z_0X30_89) ),
inference(superposition,[status(thm),theory(equality)],[c_158,c_471]) ).
tff(c_541,plain,
! [VAR_X_10X30_90,VAR_Z_0X30_91] : ( constr_xor(VAR_X_10X30_90,constr_xor(VAR_X_10X30_90,VAR_Z_0X30_91)) = VAR_Z_0X30_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_337,c_527]) ).
tff(c_584,plain,
! [VAR_X_7_3,VAR_Y_8_4] : ( constr_xor(VAR_X_7_3,constr_xor(VAR_Y_8_4,VAR_X_7_3)) = VAR_Y_8_4 ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_541]) ).
tff(c_540,plain,
! [VAR_X_10X30_1,VAR_Z_0X30_89] : ( constr_xor(VAR_X_10X30_1,constr_xor(VAR_X_10X30_1,VAR_Z_0X30_89)) = VAR_Z_0X30_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_337,c_527]) ).
tff(c_607,plain,
! [VAR_X_7_92,VAR_Y_8_93] : ( constr_xor(VAR_X_7_92,constr_xor(VAR_Y_8_93,VAR_X_7_92)) = VAR_Y_8_93 ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_541]) ).
tff(c_610,plain,
! [VAR_Y_8_93,VAR_X_7_92] : ( constr_xor(constr_xor(VAR_Y_8_93,VAR_X_7_92),VAR_Y_8_93) = VAR_X_7_92 ),
inference(superposition,[status(thm),theory(equality)],[c_607,c_584]) ).
tff(c_176,plain,
! [VAR_V_49_14,VAR_V_50X30_15] :
( pred_attacker(VAR_V_49_14)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(VAR_V_49_14,VAR_V_50X30_15)) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_904,plain,
pred_attacker(constr_xor(name_r2_from_1st,name_t)),
inference(resolution,[status(thm)],[c_249,c_176]) ).
tff(c_166,plain,
! [VAR_V_30X30_8,VAR_V_31_9] :
( pred_attacker(constr_xor(VAR_V_30X30_8,VAR_V_31_9))
| ~ pred_attacker(VAR_V_31_9)
| ~ pred_attacker(VAR_V_30X30_8) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_4190,plain,
! [VAR_X_0X30_132,VAR_Y_0X30_133,VAR_Z_0X30_134] :
( pred_attacker(constr_xor(VAR_X_0X30_132,constr_xor(VAR_Y_0X30_133,VAR_Z_0X30_134)))
| ~ pred_attacker(VAR_Z_0X30_134)
| ~ pred_attacker(constr_xor(VAR_X_0X30_132,VAR_Y_0X30_133)) ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_166]) ).
tff(c_14334,plain,
! [VAR_X_0X30_188,VAR_Z_0X30_189,VAR_X_10X30_190] :
( pred_attacker(constr_xor(VAR_X_0X30_188,VAR_Z_0X30_189))
| ~ pred_attacker(constr_xor(VAR_X_10X30_190,VAR_Z_0X30_189))
| ~ pred_attacker(constr_xor(VAR_X_0X30_188,VAR_X_10X30_190)) ),
inference(superposition,[status(thm),theory(equality)],[c_540,c_4190]) ).
tff(c_14429,plain,
! [VAR_X_0X30_191] :
( pred_attacker(constr_xor(VAR_X_0X30_191,name_t))
| ~ pred_attacker(constr_xor(VAR_X_0X30_191,name_r2_from_1st)) ),
inference(resolution,[status(thm)],[c_904,c_14334]) ).
tff(c_14458,plain,
! [VAR_X_7_92] :
( pred_attacker(VAR_X_7_92)
| ~ pred_attacker(constr_xor(constr_xor(name_t,VAR_X_7_92),name_r2_from_1st)) ),
inference(superposition,[status(thm),theory(equality)],[c_610,c_14429]) ).
tff(c_15211,plain,
! [VAR_X_7_201] :
( pred_attacker(VAR_X_7_201)
| ~ pred_attacker(constr_xor(name_r2_from_1st,constr_xor(name_t,VAR_X_7_201))) ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_14458]) ).
tff(c_15315,plain,
! [VAR_Z_0X30_89] :
( pred_attacker(constr_xor(name_t,VAR_Z_0X30_89))
| ~ pred_attacker(constr_xor(name_r2_from_1st,VAR_Z_0X30_89)) ),
inference(superposition,[status(thm),theory(equality)],[c_540,c_15211]) ).
tff(c_242,plain,
pred_attacker(tuple_R_out_1(name_r1)),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_281,plain,
! [VAR_V_89_53] :
( pred_attacker(VAR_V_89_53)
| ~ pred_attacker(tuple_R_out_1(VAR_V_89_53)) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_285,plain,
pred_attacker(name_r1),
inference(resolution,[status(thm)],[c_242,c_281]) ).
tff(c_164,plain,
! [VAR_X_0X30_5,VAR_Y_0X30_6,VAR_Z_0X30_7] : ( constr_xor(constr_xor(VAR_X_0X30_5,VAR_Y_0X30_6),VAR_Z_0X30_7) = constr_xor(VAR_X_0X30_5,constr_xor(VAR_Y_0X30_6,VAR_Z_0X30_7)) ),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_16995,plain,
! [VAR_X_0X30_218,VAR_X_7_219,VAR_Y_8_220] :
( pred_attacker(constr_xor(VAR_X_0X30_218,constr_xor(VAR_X_7_219,VAR_Y_8_220)))
| ~ pred_attacker(VAR_X_7_219)
| ~ pred_attacker(constr_xor(VAR_X_0X30_218,VAR_Y_8_220)) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_4190]) ).
tff(c_17243,plain,
! [VAR_X_7_219,VAR_Y_8_220,VAR_X_7_3] :
( pred_attacker(constr_xor(constr_xor(VAR_X_7_219,VAR_Y_8_220),VAR_X_7_3))
| ~ pred_attacker(VAR_X_7_219)
| ~ pred_attacker(constr_xor(VAR_X_7_3,VAR_Y_8_220)) ),
inference(superposition,[status(thm),theory(equality)],[c_162,c_16995]) ).
tff(c_17308,plain,
! [VAR_X_7_219,VAR_Y_8_220,VAR_X_7_3] :
( pred_attacker(constr_xor(VAR_X_7_219,constr_xor(VAR_Y_8_220,VAR_X_7_3)))
| ~ pred_attacker(VAR_X_7_219)
| ~ pred_attacker(constr_xor(VAR_X_7_3,VAR_Y_8_220)) ),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_17243]) ).
tff(c_210,plain,
! [VAR_V_93_32,VAR_V_94_33] :
( pred_attacker(tuple_R_in_2(VAR_V_93_32,VAR_V_94_33))
| ~ pred_attacker(VAR_V_94_33)
| ~ pred_attacker(VAR_V_93_32) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_483,plain,
! [VAR_Z_0X30_89,VAR_X_0X30_87,VAR_Y_0X30_88] : ( constr_xor(VAR_Z_0X30_89,constr_xor(VAR_X_0X30_87,VAR_Y_0X30_88)) = constr_xor(VAR_X_0X30_87,constr_xor(VAR_Y_0X30_88,VAR_Z_0X30_89)) ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_162]) ).
tff(c_246,plain,
! [VAR_M1_IN_250X30_45] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(VAR_M1_IN_250X30_45,constr_f(constr_xor(name_r1,constr_xor(VAR_M1_IN_250X30_45,name_t)),name_t))) ),
inference(cnfTransformation,[status(thm)],[f_326]) ).
tff(c_1002,plain,
! [VAR_M1_IN_250X30_101] : ~ pred_attacker(tuple_R_in_2(VAR_M1_IN_250X30_101,constr_f(constr_xor(name_r1,constr_xor(VAR_M1_IN_250X30_101,name_t)),name_t))),
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_2304,plain,
! [VAR_X_7_118] : ~ pred_attacker(tuple_R_in_2(VAR_X_7_118,constr_f(constr_xor(name_r1,constr_xor(name_t,VAR_X_7_118)),name_t))),
inference(superposition,[status(thm),theory(equality)],[c_162,c_1002]) ).
tff(c_7929,plain,
! [VAR_Z_0X30_160] : ~ pred_attacker(tuple_R_in_2(constr_xor(name_t,VAR_Z_0X30_160),constr_f(constr_xor(name_r1,VAR_Z_0X30_160),name_t))),
inference(superposition,[status(thm),theory(equality)],[c_540,c_2304]) ).
tff(c_8009,plain,
! [VAR_Z_0X30_89] : ~ pred_attacker(tuple_R_in_2(constr_xor(name_t,constr_xor(name_r1,VAR_Z_0X30_89)),constr_f(VAR_Z_0X30_89,name_t))),
inference(superposition,[status(thm),theory(equality)],[c_540,c_7929]) ).
tff(c_71643,plain,
! [VAR_Z_0X30_344] : ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,constr_xor(VAR_Z_0X30_344,name_t)),constr_f(VAR_Z_0X30_344,name_t))),
inference(demodulation,[status(thm),theory(equality)],[c_483,c_8009]) ).
tff(c_98296,plain,
! [VAR_Z_0X30_418] :
( ~ pred_attacker(constr_f(VAR_Z_0X30_418,name_t))
| ~ pred_attacker(constr_xor(name_r1,constr_xor(VAR_Z_0X30_418,name_t))) ),
inference(resolution,[status(thm)],[c_210,c_71643]) ).
tff(c_98300,plain,
! [VAR_Y_8_220] :
( ~ pred_attacker(constr_f(VAR_Y_8_220,name_t))
| ~ pred_attacker(name_r1)
| ~ pred_attacker(constr_xor(name_t,VAR_Y_8_220)) ),
inference(resolution,[status(thm)],[c_17308,c_98296]) ).
tff(c_98445,plain,
! [VAR_Y_8_419] :
( ~ pred_attacker(constr_f(VAR_Y_8_419,name_t))
| ~ pred_attacker(constr_xor(name_t,VAR_Y_8_419)) ),
inference(demodulation,[status(thm),theory(equality)],[c_285,c_98300]) ).
tff(c_98777,plain,
! [VAR_Z_0X30_421] :
( ~ pred_attacker(constr_f(VAR_Z_0X30_421,name_t))
| ~ pred_attacker(constr_xor(name_r2_from_1st,VAR_Z_0X30_421)) ),
inference(resolution,[status(thm)],[c_15315,c_98445]) ).
tff(c_99331,plain,
! [VAR_Y_8_425] :
( ~ pred_attacker(constr_f(constr_xor(VAR_Y_8_425,name_r2_from_1st),name_t))
| ~ pred_attacker(VAR_Y_8_425) ),
inference(superposition,[status(thm),theory(equality)],[c_584,c_98777]) ).
tff(c_99382,plain,
~ pred_attacker(name_r1_from_1st),
inference(resolution,[status(thm)],[c_905,c_99331]) ).
tff(c_99417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_296,c_99382]) ).
tff(c_99418,plain,
pred_attacker(tuple_R_out_4(name_objective)),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_200,plain,
! [VAR_V_77_27] :
( pred_attacker(VAR_V_77_27)
| ~ pred_attacker(tuple_R_out_4(VAR_V_77_27)) ),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_99421,plain,
pred_attacker(name_objective),
inference(resolution,[status(thm)],[c_99418,c_200]) ).
tff(c_99425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_99421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW949+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 19:22:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 48.10/35.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.10/35.76
% 48.10/35.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 48.34/35.79
% 48.34/35.79 Inference rules
% 48.34/35.79 ----------------------
% 48.34/35.79 #Ref : 0
% 48.34/35.79 #Sup : 24543
% 48.34/35.79 #Fact : 0
% 48.34/35.79 #Define : 0
% 48.34/35.79 #Split : 6
% 48.34/35.79 #Chain : 0
% 48.34/35.79 #Close : 0
% 48.34/35.79
% 48.34/35.79 Ordering : KBO
% 48.34/35.79
% 48.34/35.79 Simplification rules
% 48.34/35.79 ----------------------
% 48.34/35.79 #Subsume : 4739
% 48.34/35.79 #Demod : 40097
% 48.34/35.79 #Tautology : 5359
% 48.34/35.79 #SimpNegUnit : 83
% 48.34/35.79 #BackRed : 1
% 48.34/35.79
% 48.34/35.79 #Partial instantiations: 0
% 48.34/35.79 #Strategies tried : 1
% 48.34/35.79
% 48.34/35.79 Timing (in seconds)
% 48.34/35.79 ----------------------
% 48.34/35.79 Preprocessing : 0.60
% 48.34/35.79 Parsing : 0.32
% 48.34/35.79 CNF conversion : 0.04
% 48.34/35.79 Main loop : 34.11
% 48.34/35.79 Inferencing : 2.05
% 48.34/35.79 Reduction : 28.34
% 48.34/35.79 Demodulation : 27.33
% 48.34/35.79 BG Simplification : 0.29
% 48.34/35.79 Subsumption : 2.62
% 48.34/35.79 Abstraction : 0.49
% 48.34/35.79 MUC search : 0.00
% 48.34/35.79 Cooper : 0.00
% 48.34/35.79 Total : 34.78
% 48.34/35.79 Index Insertion : 0.00
% 48.34/35.79 Index Deletion : 0.00
% 48.34/35.79 Index Matching : 0.00
% 48.34/35.79 BG Taut test : 0.00
%------------------------------------------------------------------------------