TSTP Solution File: SYO499^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO499^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 May 21 09:05:28 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 363 ( 89 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 254 ( 64 ~; 98 |; 5 &; 78 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 1 ( 0 ^ 0 !; 0 ?; 1 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
f: $o > $i ).
thf(func_def_4,type,
f1: $o > $i ).
thf(func_def_5,type,
f2: $o > $i ).
thf(func_def_6,type,
g: $o > $i ).
thf(func_def_7,type,
g1: $o > $i ).
thf(func_def_8,type,
g2: $o > $i ).
thf(func_def_13,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f35,f47,f52,f60,f61,f65,f66,f75,f82,f91,f100,f109,f111,f114]) ).
thf(f114,plain,
( spl0_1
| spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f113]) ).
thf(f113,plain,
( $false
| spl0_1
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f112,f41]) ).
thf(f41,plain,
( ( a != $true )
| spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f40,plain,
( spl0_6
<=> ( a = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f112,plain,
( ( a = $true )
| spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f73,f16]) ).
thf(f16,plain,
( ( b != $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
thf(f15,plain,
( spl0_1
<=> ( b = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f73,plain,
( ( b = $true )
| ( a = $true )
| spl0_7 ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
( ( a != b )
| spl0_7 ),
inference(equality_resolution,[],[f46]) ).
thf(f46,plain,
( ( ( f @ a )
!= ( f @ b ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f44,plain,
( spl0_7
<=> ( ( f @ a )
= ( f @ b ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f111,plain,
( spl0_4
| spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f110,f57,f49,f28]) ).
thf(f28,plain,
( spl0_4
<=> ( c = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f49,plain,
( spl0_8
<=> ( a = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
thf(f57,plain,
( spl0_9
<=> ( ( f1 @ a )
= ( f1 @ c ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f110,plain,
( ( c = $false )
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f81,f50]) ).
thf(f50,plain,
( ( a != $false )
| spl0_8 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f81,plain,
( ( a = $false )
| ( c = $false )
| spl0_9 ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
( ( a != c )
| spl0_9 ),
inference(equality_resolution,[],[f59]) ).
thf(f59,plain,
( ( ( f1 @ a )
!= ( f1 @ c ) )
| spl0_9 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f109,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f108]) ).
thf(f108,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f103,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f17,f34]) ).
thf(f34,plain,
( ( b = $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f32,plain,
( spl0_5
<=> ( b = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f17,plain,
( ( b = $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
thf(f100,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f99]) ).
thf(f99,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f51,f42]) ).
thf(f42,plain,
( ( a = $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f51,plain,
( ( a = $false )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f91,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f90]) ).
thf(f90,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f85,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f30,f21]) ).
thf(f21,plain,
( ( c = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f19,plain,
( spl0_2
<=> ( c = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f30,plain,
( ( c = $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f82,plain,
( spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f80,f57,f40,f19]) ).
thf(f80,plain,
( ( a = $true )
| ( c = $true )
| spl0_9 ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f75,plain,
( spl0_8
| spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f44,f32,f49]) ).
thf(f74,plain,
( ( b = $false )
| ( a = $false )
| spl0_7 ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f66,plain,
( spl0_5
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f64,f23,f28,f32]) ).
thf(f23,plain,
( spl0_3
<=> ( ( f2 @ b )
= ( f2 @ c ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f64,plain,
( ( c = $false )
| ( b = $false )
| spl0_3 ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( b != c )
| spl0_3 ),
inference(equality_resolution,[],[f25]) ).
thf(f25,plain,
( ( ( f2 @ b )
!= ( f2 @ c ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f65,plain,
( spl0_2
| spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f63,f23,f15,f19]) ).
thf(f63,plain,
( ( c = $true )
| ( b = $true )
| spl0_3 ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f61,plain,
( ~ spl0_9
| spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f55,f28,f49,f57]) ).
thf(f55,plain,
( ( c = $false )
| ( ( f1 @ a )
!= ( f1 @ c ) )
| ( a = $false ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( ( f1 @ a )
!= ( f1 @ c ) )
| ( a != c ) ),
inference(constrained_superposition,[],[f10,f6]) ).
thf(f6,plain,
( ( f1 @ c )
= ( g1 @ a ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,plain,
( ( ( f1 @ a )
!= ( g1 @ c ) )
& ( ( f @ b )
= ( g @ a ) )
& ( ( f2 @ c )
= ( g2 @ b ) )
& ( ( f @ a )
!= ( g @ b ) )
& ( ( f1 @ c )
= ( g1 @ a ) )
& ( ( f2 @ b )
!= ( g2 @ c ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f @ a )
= ( g @ b ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ( f1 @ c )
!= ( g1 @ a ) )
| ( ( f1 @ a )
= ( g1 @ c ) )
| ( ( f @ b )
!= ( g @ a ) )
| ( ( f @ a )
= ( g @ b ) )
| ( ( f2 @ b )
= ( g2 @ c ) )
| ( ( f2 @ c )
!= ( g2 @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f10,plain,
( ( f1 @ a )
!= ( g1 @ c ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f60,plain,
( ~ spl0_9
| spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f54,f19,f40,f57]) ).
thf(f54,plain,
( ( a = $true )
| ( c = $true )
| ( ( f1 @ a )
!= ( f1 @ c ) ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f52,plain,
( ~ spl0_7
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f32,f49,f44]) ).
thf(f38,plain,
( ( ( f @ a )
!= ( f @ b ) )
| ( b = $false )
| ( a = $false ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( f @ a )
!= ( f @ b ) )
| ( a != b ) ),
inference(constrained_superposition,[],[f7,f9]) ).
thf(f9,plain,
( ( f @ b )
= ( g @ a ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
( ( f @ a )
!= ( g @ b ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f47,plain,
( spl0_6
| ~ spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f37,f15,f44,f40]) ).
thf(f37,plain,
( ( a = $true )
| ( ( f @ a )
!= ( f @ b ) )
| ( b = $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f35,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f32,f28,f23]) ).
thf(f13,plain,
( ( b = $false )
| ( c = $false )
| ( ( f2 @ b )
!= ( f2 @ c ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( b != c )
| ( ( f2 @ b )
!= ( f2 @ c ) ) ),
inference(constrained_superposition,[],[f5,f8]) ).
thf(f8,plain,
( ( f2 @ c )
= ( g2 @ b ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f5,plain,
( ( f2 @ b )
!= ( g2 @ c ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f26,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f23,f19,f15]) ).
thf(f12,plain,
( ( b = $true )
| ( c = $true )
| ( ( f2 @ b )
!= ( f2 @ c ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO499^1 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:15:07 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % (7676)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.37 % (7675)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (7676)Instruction limit reached!
% 0.14/0.37 % (7676)------------------------------
% 0.14/0.37 % (7676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (7676)Termination reason: Unknown
% 0.14/0.37 % (7676)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (7676)Memory used [KB]: 5500
% 0.14/0.37 % (7676)Time elapsed: 0.006 s
% 0.14/0.37 % (7676)Instructions burned: 5 (million)
% 0.14/0.37 % (7676)------------------------------
% 0.14/0.37 % (7676)------------------------------
% 0.14/0.37 % (7675)First to succeed.
% 0.14/0.38 % (7675)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (7675)------------------------------
% 0.14/0.38 % (7675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (7675)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (7675)Memory used [KB]: 5500
% 0.14/0.38 % (7675)Time elapsed: 0.007 s
% 0.14/0.38 % (7675)Instructions burned: 5 (million)
% 0.14/0.38 % (7675)------------------------------
% 0.14/0.38 % (7675)------------------------------
% 0.14/0.38 % (7674)Success in time 0.019 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------