TSTP Solution File: GRP268-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP268-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 16:21:06 EDT 2022
% Result : Unsatisfiable 2.34s 0.69s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 172 ( 23 unt; 0 def)
% Number of atoms : 463 ( 202 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 553 ( 262 ~; 274 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f777,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f81,f86,f98,f105,f110,f111,f112,f116,f117,f129,f169,f308,f374,f376,f409,f413,f454,f483,f487,f621,f668,f732]) ).
fof(f732,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| spl10_14
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| spl10_14
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f730,f684]) ).
fof(f684,plain,
( identity != sk_c6
| spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f145,f163]) ).
fof(f163,plain,
( identity = sk_c7
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl10_18
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f145,plain,
( sk_c7 != sk_c6
| spl10_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl10_14
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f730,plain,
( identity = sk_c6
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_18 ),
inference(forward_demodulation,[],[f729,f698]) ).
fof(f698,plain,
( identity = multiply(sk_c6,identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_18 ),
inference(backward_demodulation,[],[f692,f696]) ).
fof(f696,plain,
( identity = sk_c4
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f694,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f694,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_5
| ~ spl10_7 ),
inference(backward_demodulation,[],[f688,f90]) ).
fof(f90,plain,
( sk_c6 = sF6
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl10_7
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f688,plain,
( sk_c4 = multiply(inverse(sF6),sk_c6)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f260,f80]) ).
fof(f80,plain,
( sk_c4 = sF9
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl10_5
<=> sk_c4 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f260,plain,
sF9 = multiply(inverse(sF6),sk_c6),
inference(superposition,[],[f186,f226]) ).
fof(f226,plain,
sk_c6 = multiply(sF6,sF9),
inference(forward_demodulation,[],[f218,f37]) ).
fof(f37,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f218,plain,
sk_c6 = multiply(inverse(sk_c3),sF9),
inference(superposition,[],[f186,f43]) ).
fof(f43,plain,
multiply(sk_c3,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f186,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f179,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f179,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f692,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl10_3
| ~ spl10_18 ),
inference(forward_demodulation,[],[f35,f584]) ).
fof(f584,plain,
( identity = sF5
| ~ spl10_3
| ~ spl10_18 ),
inference(backward_demodulation,[],[f71,f163]) ).
fof(f71,plain,
( sk_c7 = sF5
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_3
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f35,plain,
multiply(sk_c6,sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f729,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f728,f90]) ).
fof(f728,plain,
( sk_c6 = multiply(sF6,identity)
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f523,f696]) ).
fof(f523,plain,
( sk_c6 = multiply(sF6,sk_c4)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f226,f80]) ).
fof(f668,plain,
( ~ spl10_1
| spl10_2
| ~ spl10_14
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl10_1
| spl10_2
| ~ spl10_14
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f666,f659]) ).
fof(f659,plain,
( identity != sF0
| spl10_2
| ~ spl10_18 ),
inference(forward_demodulation,[],[f65,f163]) ).
fof(f65,plain,
( sk_c7 != sF0
| spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl10_2
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f666,plain,
( identity = sF0
| ~ spl10_1
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f665,f643]) ).
fof(f643,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_14
| ~ spl10_18 ),
inference(backward_demodulation,[],[f634,f641]) ).
fof(f641,plain,
( identity = sk_c2
| ~ spl10_1
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f640,f2]) ).
fof(f640,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl10_1
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f561,f163]) ).
fof(f561,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_demodulation,[],[f219,f477]) ).
fof(f477,plain,
( sk_c7 = sF4
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_demodulation,[],[f62,f144]) ).
fof(f144,plain,
( sk_c7 = sk_c6
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f62,plain,
( sk_c6 = sF4
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl10_1
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f219,plain,
sk_c2 = multiply(inverse(sF4),identity),
inference(superposition,[],[f186,f136]) ).
fof(f136,plain,
identity = multiply(sF4,sk_c2),
inference(superposition,[],[f2,f33]) ).
fof(f33,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f634,plain,
( identity = inverse(sk_c2)
| ~ spl10_1
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f478,f163]) ).
fof(f478,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_demodulation,[],[f33,f477]) ).
fof(f665,plain,
( sF0 = inverse(identity)
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f27,f586]) ).
fof(f586,plain,
( identity = sk_c6
| ~ spl10_14
| ~ spl10_18 ),
inference(backward_demodulation,[],[f144,f163]) ).
fof(f27,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f621,plain,
( ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f619,f589]) ).
fof(f589,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_14
| ~ spl10_18 ),
inference(backward_demodulation,[],[f479,f163]) ).
fof(f479,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl10_2
| ~ spl10_14 ),
inference(forward_demodulation,[],[f132,f144]) ).
fof(f132,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f27,f66]) ).
fof(f66,plain,
( sk_c7 = sF0
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f619,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f618,f589]) ).
fof(f618,plain,
( identity != inverse(inverse(identity))
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f616,f1]) ).
fof(f616,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(superposition,[],[f603,f2]) ).
fof(f603,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_demodulation,[],[f595,f163]) ).
fof(f595,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| sk_c7 != inverse(X6) )
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(backward_demodulation,[],[f576,f163]) ).
fof(f576,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
| ~ spl10_13
| ~ spl10_14 ),
inference(forward_demodulation,[],[f575,f144]) ).
fof(f575,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c7 != inverse(X6) )
| ~ spl10_13
| ~ spl10_14 ),
inference(forward_demodulation,[],[f128,f144]) ).
fof(f128,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl10_13
<=> ! [X6] :
( sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f487,plain,
( spl10_23
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f430,f107,f406]) ).
fof(f406,plain,
( spl10_23
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f107,plain,
( spl10_10
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f430,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f40,f109]) ).
fof(f109,plain,
( sk_c8 = sF8
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f40,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f483,plain,
( spl10_18
| ~ spl10_6
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f482,f402,f83,f162]) ).
fof(f83,plain,
( spl10_6
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f402,plain,
( spl10_22
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f482,plain,
( identity = sk_c7
| ~ spl10_6
| ~ spl10_22 ),
inference(backward_demodulation,[],[f85,f403]) ).
fof(f403,plain,
( identity = sF3
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f85,plain,
( sk_c7 = sF3
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f454,plain,
( spl10_22
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f453,f107,f402]) ).
fof(f453,plain,
( identity = sF3
| ~ spl10_10 ),
inference(forward_demodulation,[],[f436,f2]) ).
fof(f436,plain,
( sF3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f258,f109]) ).
fof(f258,plain,
multiply(inverse(sF8),sk_c8) = sF3,
inference(superposition,[],[f186,f225]) ).
fof(f225,plain,
sk_c8 = multiply(sF8,sF3),
inference(forward_demodulation,[],[f211,f40]) ).
fof(f211,plain,
sk_c8 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f186,f31]) ).
fof(f31,plain,
multiply(sk_c1,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f413,plain,
( ~ spl10_4
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl10_4
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f399,f131]) ).
fof(f131,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f38,f95]) ).
fof(f95,plain,
( sk_c8 = sF7
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl10_8
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f38,plain,
inverse(sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f399,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl10_4
| ~ spl10_12
| ~ spl10_18 ),
inference(trivial_inequality_removal,[],[f398]) ).
fof(f398,plain,
( sk_c8 != inverse(sk_c5)
| identity != identity
| ~ spl10_4
| ~ spl10_12
| ~ spl10_18 ),
inference(superposition,[],[f377,f312]) ).
fof(f312,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl10_4
| ~ spl10_18 ),
inference(backward_demodulation,[],[f130,f163]) ).
fof(f130,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f30,f75]) ).
fof(f75,plain,
( sk_c7 = sF2
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl10_4
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f30,plain,
multiply(sk_c5,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f377,plain,
( ! [X7] :
( identity != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl10_12
| ~ spl10_18 ),
inference(forward_demodulation,[],[f125,f163]) ).
fof(f125,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl10_12
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f409,plain,
( ~ spl10_22
| ~ spl10_23
| ~ spl10_12
| ~ spl10_18 ),
inference(avatar_split_clause,[],[f397,f162,f124,f406,f402]) ).
fof(f397,plain,
( sk_c8 != inverse(sk_c1)
| identity != sF3
| ~ spl10_12
| ~ spl10_18 ),
inference(superposition,[],[f377,f31]) ).
fof(f376,plain,
( ~ spl10_2
| spl10_14
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f375,plain,
( $false
| ~ spl10_2
| spl10_14
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f315,f331]) ).
fof(f331,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_18 ),
inference(forward_demodulation,[],[f320,f2]) ).
fof(f320,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl10_2
| ~ spl10_18 ),
inference(backward_demodulation,[],[f214,f163]) ).
fof(f214,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl10_2 ),
inference(superposition,[],[f186,f135]) ).
fof(f135,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl10_2 ),
inference(superposition,[],[f2,f132]) ).
fof(f315,plain,
( identity != sk_c6
| spl10_14
| ~ spl10_18 ),
inference(backward_demodulation,[],[f145,f163]) ).
fof(f374,plain,
( ~ spl10_2
| ~ spl10_18
| spl10_19 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl10_2
| ~ spl10_18
| spl10_19 ),
inference(subsumption_resolution,[],[f372,f331]) ).
fof(f372,plain,
( identity != sk_c6
| ~ spl10_2
| ~ spl10_18
| spl10_19 ),
inference(forward_demodulation,[],[f316,f370]) ).
fof(f370,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_18 ),
inference(forward_demodulation,[],[f313,f331]) ).
fof(f313,plain,
( identity = inverse(sk_c6)
| ~ spl10_2
| ~ spl10_18 ),
inference(backward_demodulation,[],[f132,f163]) ).
fof(f316,plain,
( sk_c6 != inverse(identity)
| ~ spl10_18
| spl10_19 ),
inference(backward_demodulation,[],[f168,f163]) ).
fof(f168,plain,
( sk_c6 != inverse(sk_c7)
| spl10_19 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl10_19
<=> sk_c6 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f308,plain,
( ~ spl10_4
| ~ spl10_8
| spl10_18 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl10_4
| ~ spl10_8
| spl10_18 ),
inference(subsumption_resolution,[],[f306,f164]) ).
fof(f164,plain,
( identity != sk_c7
| spl10_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f306,plain,
( identity = sk_c7
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_demodulation,[],[f302,f2]) ).
fof(f302,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl10_4
| ~ spl10_8 ),
inference(superposition,[],[f186,f199]) ).
fof(f199,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl10_4
| ~ spl10_8 ),
inference(superposition,[],[f189,f130]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl10_8 ),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f188,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl10_8 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl10_8 ),
inference(superposition,[],[f2,f131]) ).
fof(f169,plain,
( ~ spl10_18
| ~ spl10_19
| ~ spl10_2
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f160,f121,f64,f166,f162]) ).
fof(f121,plain,
( spl10_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f160,plain,
( sk_c6 != inverse(sk_c7)
| identity != sk_c7
| ~ spl10_2
| ~ spl10_11 ),
inference(forward_demodulation,[],[f139,f132]) ).
fof(f139,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != sk_c7
| ~ spl10_11 ),
inference(superposition,[],[f122,f2]) ).
fof(f122,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f129,plain,
( spl10_11
| ~ spl10_2
| spl10_12
| spl10_12
| spl10_13 ),
inference(avatar_split_clause,[],[f58,f127,f124,f124,f64,f121]) ).
fof(f58,plain,
! [X3,X6,X7,X4] :
( sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != sF0
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X3,sk_c8) ),
inference(definition_folding,[],[f26,f27]) ).
fof(f26,plain,
! [X3,X6,X7,X4] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(sk_c6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6)
| sk_c8 != inverse(X7) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X3)
| multiply(X6,sk_c6) != X5
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(sk_c6)
| sk_c7 != multiply(sk_c6,X5)
| sk_c6 != inverse(X6)
| sk_c8 != inverse(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f117,plain,
( spl10_10
| spl10_2 ),
inference(avatar_split_clause,[],[f41,f64,f107]) ).
fof(f41,plain,
( sk_c7 = sF0
| sk_c8 = sF8 ),
inference(definition_folding,[],[f9,f40,f27]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f116,plain,
( spl10_6
| spl10_8 ),
inference(avatar_split_clause,[],[f47,f93,f83]) ).
fof(f47,plain,
( sk_c8 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f5,f38,f31]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f112,plain,
( spl10_10
| spl10_8 ),
inference(avatar_split_clause,[],[f57,f93,f107]) ).
fof(f57,plain,
( sk_c8 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f8,f40,f38]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f111,plain,
( spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f49,f69,f64]) ).
fof(f49,plain,
( sk_c7 = sF5
| sk_c7 = sF0 ),
inference(definition_folding,[],[f18,f27,f35]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c6,sk_c4)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f110,plain,
( spl10_10
| spl10_4 ),
inference(avatar_split_clause,[],[f50,f73,f107]) ).
fof(f50,plain,
( sk_c7 = sF2
| sk_c8 = sF8 ),
inference(definition_folding,[],[f7,f30,f40]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f105,plain,
( spl10_2
| spl10_6 ),
inference(avatar_split_clause,[],[f56,f83,f64]) ).
fof(f56,plain,
( sk_c7 = sF3
| sk_c7 = sF0 ),
inference(definition_folding,[],[f6,f27,f31]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f98,plain,
( spl10_2
| spl10_7 ),
inference(avatar_split_clause,[],[f54,f88,f64]) ).
fof(f54,plain,
( sk_c6 = sF6
| sk_c7 = sF0 ),
inference(definition_folding,[],[f24,f27,f37]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f86,plain,
( spl10_6
| spl10_4 ),
inference(avatar_split_clause,[],[f32,f73,f83]) ).
fof(f32,plain,
( sk_c7 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f4,f31,f30]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f81,plain,
( spl10_5
| spl10_2 ),
inference(avatar_split_clause,[],[f51,f64,f78]) ).
fof(f51,plain,
( sk_c7 = sF0
| sk_c4 = sF9 ),
inference(definition_folding,[],[f21,f43,f27]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f67,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f48,f64,f60]) ).
fof(f48,plain,
( sk_c7 = sF0
| sk_c6 = sF4 ),
inference(definition_folding,[],[f15,f27,f33]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP268-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:32:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (26664)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (26664)Instruction limit reached!
% 0.20/0.55 % (26664)------------------------------
% 0.20/0.55 % (26664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26668)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (26680)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (26672)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (26676)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.57 % (26664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.57 % (26664)Termination reason: Unknown
% 1.67/0.57 % (26664)Termination phase: Saturation
% 1.67/0.57
% 1.67/0.57 % (26664)Memory used [KB]: 5628
% 1.67/0.57 % (26664)Time elapsed: 0.128 s
% 1.67/0.57 % (26664)Instructions burned: 8 (million)
% 1.67/0.57 % (26664)------------------------------
% 1.67/0.57 % (26664)------------------------------
% 1.67/0.57 % (26684)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.84/0.60 % (26661)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.61 % (26674)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.61 % (26657)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.84/0.61 % (26677)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.84/0.61 TRYING [1]
% 1.84/0.61 TRYING [2]
% 1.84/0.61 % (26675)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.62 % (26678)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.84/0.62 % (26669)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.84/0.62 % (26679)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.84/0.62 % (26683)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.84/0.62 % (26686)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.84/0.62 % (26662)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.84/0.62 % (26682)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.84/0.63 % (26671)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.84/0.63 % (26667)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.63 % (26660)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.63 % (26663)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.63 % (26685)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.84/0.63 TRYING [1]
% 1.84/0.63 % (26670)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.84/0.63 TRYING [2]
% 1.84/0.64 TRYING [1]
% 1.84/0.64 TRYING [2]
% 1.84/0.64 TRYING [3]
% 1.84/0.64 TRYING [3]
% 1.84/0.64 % (26666)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.64 % (26665)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.64 % (26665)Instruction limit reached!
% 1.84/0.64 % (26665)------------------------------
% 1.84/0.64 % (26665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (26665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (26665)Termination reason: Unknown
% 1.84/0.64 % (26665)Termination phase: Saturation
% 1.84/0.64
% 1.84/0.64 % (26665)Memory used [KB]: 5373
% 1.84/0.64 % (26665)Time elapsed: 0.004 s
% 1.84/0.64 % (26665)Instructions burned: 2 (million)
% 1.84/0.64 % (26665)------------------------------
% 1.84/0.64 % (26665)------------------------------
% 1.84/0.64 % (26658)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.65 % (26659)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.84/0.65 % (26681)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.30/0.65 % (26673)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.34/0.66 TRYING [3]
% 2.34/0.67 TRYING [4]
% 2.34/0.67 % (26675)First to succeed.
% 2.34/0.67 TRYING [4]
% 2.34/0.68 TRYING [4]
% 2.34/0.69 % (26675)Refutation found. Thanks to Tanya!
% 2.34/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.34/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.69 % (26675)------------------------------
% 2.34/0.69 % (26675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (26675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (26675)Termination reason: Refutation
% 2.34/0.69
% 2.34/0.69 % (26675)Memory used [KB]: 5756
% 2.34/0.69 % (26675)Time elapsed: 0.252 s
% 2.34/0.69 % (26675)Instructions burned: 23 (million)
% 2.34/0.69 % (26675)------------------------------
% 2.34/0.69 % (26675)------------------------------
% 2.34/0.69 % (26656)Success in time 0.336 s
%------------------------------------------------------------------------------