TSTP Solution File: SYO091^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO091^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 09:02:54 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 454 ( 150 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 310 ( 113 ~; 144 |; 25 &)
% ( 26 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 318 ( 214 fml; 104 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 26 ( 13 !; 12 ?; 26 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
vEPSILON:
!>[X0: $tType] : sTfun(sTfun(X0,$o),X0) ).
tff(f122,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f37,f38,f39,f40,f41,f42,f43,f75,f78,f91,f93,f97,f99,f101,f110,f121]) ).
tff(f121,plain,
( ~ spl3_6
| ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f116,f29,f21,f52]) ).
tff(f52,plain,
( spl3_6
<=> ( sK0 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f21,plain,
( spl3_1
<=> ( sK2 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f29,plain,
( spl3_3
<=> ( sK2 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f116,plain,
( ( sK0 != $true )
| ~ spl3_1
| spl3_3 ),
inference(superposition,[],[f30,f22]) ).
tff(f22,plain,
( ( sK2 = sK0 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f30,plain,
( ( sK2 != $true )
| spl3_3 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f110,plain,
( ~ spl3_6
| ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f106,f33,f25,f52]) ).
tff(f25,plain,
( spl3_2
<=> ( sK1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f33,plain,
( spl3_4
<=> ( sK1 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f106,plain,
( ( sK0 != $true )
| ~ spl3_2
| spl3_4 ),
inference(superposition,[],[f34,f26]) ).
tff(f26,plain,
( ( sK1 = sK0 )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f34,plain,
( ( sK1 != $true )
| spl3_4 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f101,plain,
( ~ spl3_6
| spl3_2
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f100,f33,f25,f52]) ).
tff(f100,plain,
( ( sK0 != $true )
| spl3_2
| ~ spl3_4 ),
inference(forward_demodulation,[],[f27,f35]) ).
tff(f35,plain,
( ( sK1 = $true )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f27,plain,
( ( sK1 != sK0 )
| spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f99,plain,
( spl3_6
| ~ spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f98,f29,f21,f52]) ).
tff(f98,plain,
( ( sK0 = $true )
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_demodulation,[],[f22,f31]) ).
tff(f31,plain,
( ( sK2 = $true )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f97,plain,
( ~ spl3_6
| spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f94,f29,f21,f52]) ).
tff(f94,plain,
( ( sK0 != $true )
| spl3_1
| ~ spl3_3 ),
inference(backward_demodulation,[],[f23,f31]) ).
tff(f23,plain,
( ( sK2 != sK0 )
| spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f93,plain,
( spl3_6
| ~ spl3_2
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f92,f33,f25,f52]) ).
tff(f92,plain,
( ( sK0 = $true )
| ~ spl3_2
| ~ spl3_4 ),
inference(forward_demodulation,[],[f26,f35]) ).
tff(f91,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f90,f47,f52]) ).
tff(f47,plain,
( spl3_5
<=> ( $false = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f90,plain,
( ( sK0 = $true )
| spl3_5 ),
inference(trivial_inequality_removal,[],[f88]) ).
tff(f88,plain,
( ( sK0 = $true )
| ( $false != $false )
| spl3_5 ),
inference(superposition,[],[f49,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f49,plain,
( ( $false != sK0 )
| spl3_5 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f78,plain,
( spl3_4
| ~ spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f76,f25,f47,f33]) ).
tff(f76,plain,
( ( $false != sK0 )
| ( sK1 = $true )
| spl3_2 ),
inference(superposition,[],[f27,f4]) ).
tff(f75,plain,
( spl3_3
| ~ spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f72,f21,f47,f29]) ).
tff(f72,plain,
( ( sK2 = $true )
| ( $false != sK0 )
| spl3_1 ),
inference(superposition,[],[f23,f4]) ).
tff(f43,plain,
( ~ spl3_4
| spl3_1
| spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f15,f25,f29,f21,f33]) ).
tff(f15,plain,
( ( sK2 = $true )
| ( sK1 != $true )
| ( sK1 != sK0 )
| ( sK2 = sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( ( ( ( sK1 != sK0 )
| ( sK2 != $true ) )
& ( ( sK1 = sK0 )
| ( sK2 = $true ) ) )
| ( ( ( sK1 != $true )
| ( sK2 != sK0 ) )
& ( ( sK1 = $true )
| ( sK2 = sK0 ) ) ) )
& ( ( ( ( sK2 = $true )
| ( sK1 != sK0 ) )
& ( ( sK1 = sK0 )
| ( sK2 != $true ) ) )
| ( ( ( sK2 = sK0 )
| ( sK1 != $true ) )
& ( ( sK1 = $true )
| ( sK2 != sK0 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f10]) ).
tff(f10,plain,
( ? [X0: $o,X1: $o,X2: $o] :
( ( ( ( ( (X0) != (X1) )
| ( $true != (X2) ) )
& ( ( (X0) = (X1) )
| ( $true = (X2) ) ) )
| ( ( ( $true != (X1) )
| ( (X0) != (X2) ) )
& ( ( $true = (X1) )
| ( (X0) = (X2) ) ) ) )
& ( ( ( ( $true = (X2) )
| ( (X0) != (X1) ) )
& ( ( (X0) = (X1) )
| ( $true != (X2) ) ) )
| ( ( ( (X0) = (X2) )
| ( $true != (X1) ) )
& ( ( $true = (X1) )
| ( (X0) != (X2) ) ) ) ) )
=> ( ( ( ( ( sK1 != sK0 )
| ( sK2 != $true ) )
& ( ( sK1 = sK0 )
| ( sK2 = $true ) ) )
| ( ( ( sK1 != $true )
| ( sK2 != sK0 ) )
& ( ( sK1 = $true )
| ( sK2 = sK0 ) ) ) )
& ( ( ( ( sK2 = $true )
| ( sK1 != sK0 ) )
& ( ( sK1 = sK0 )
| ( sK2 != $true ) ) )
| ( ( ( sK2 = sK0 )
| ( sK1 != $true ) )
& ( ( sK1 = $true )
| ( sK2 != sK0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f9,plain,
? [X0: $o,X1: $o,X2: $o] :
( ( ( ( ( (X0) != (X1) )
| ( $true != (X2) ) )
& ( ( (X0) = (X1) )
| ( $true = (X2) ) ) )
| ( ( ( $true != (X1) )
| ( (X0) != (X2) ) )
& ( ( $true = (X1) )
| ( (X0) = (X2) ) ) ) )
& ( ( ( ( $true = (X2) )
| ( (X0) != (X1) ) )
& ( ( (X0) = (X1) )
| ( $true != (X2) ) ) )
| ( ( ( (X0) = (X2) )
| ( $true != (X1) ) )
& ( ( $true = (X1) )
| ( (X0) != (X2) ) ) ) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
? [X0: $o,X2: $o,X1: $o] :
( ( ( ( ( (X0) != (X2) )
| ( $true != (X1) ) )
& ( ( (X0) = (X2) )
| ( $true = (X1) ) ) )
| ( ( ( $true != (X2) )
| ( (X0) != (X1) ) )
& ( ( $true = (X2) )
| ( (X0) = (X1) ) ) ) )
& ( ( ( ( $true = (X1) )
| ( (X0) != (X2) ) )
& ( ( (X0) = (X2) )
| ( $true != (X1) ) ) )
| ( ( ( (X0) = (X1) )
| ( $true != (X2) ) )
& ( ( $true = (X2) )
| ( (X0) != (X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,plain,
? [X0: $o,X2: $o,X1: $o] :
( ( ( (X0) = (X1) )
<=> ( $true = (X2) ) )
<~> ( ( $true = (X1) )
<=> ( (X0) = (X2) ) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
~ ! [X1: $o,X0: $o,X2: $o] :
( ( ( (X0) = (X1) )
<=> ( $true = (X2) ) )
<=> ( ( $true = (X1) )
<=> ( (X0) = (X2) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o,X2: $o] :
( ( ( (X0)
<=> (X1) )
<=> (X2) )
<=> ( (X1)
<=> ( (X2)
<=> (X0) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $o,X0: $o,X2: $o] :
( ( ( (X1)
<=> (X0) )
<=> (X2) )
<=> ( (X0)
<=> ( (X2)
<=> (X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $o,X0: $o,X2: $o] :
( ( ( (X1)
<=> (X0) )
<=> (X2) )
<=> ( (X0)
<=> ( (X2)
<=> (X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM50Q) ).
tff(f42,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f18,f33,f29,f25,f21]) ).
tff(f18,plain,
( ( sK1 != sK0 )
| ( sK1 = $true )
| ( sK2 != $true )
| ( sK2 = sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f41,plain,
( spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f17,f21,f33,f29,f25]) ).
tff(f17,plain,
( ( sK2 != sK0 )
| ( sK1 = sK0 )
| ( sK1 != $true )
| ( sK2 = $true ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f40,plain,
( ~ spl3_4
| ~ spl3_3
| spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f13,f21,f25,f29,f33]) ).
tff(f13,plain,
( ( sK2 != $true )
| ( sK2 = sK0 )
| ( sK1 != $true )
| ( sK1 = sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f39,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f19,f29,f21,f33,f25]) ).
tff(f19,plain,
( ( sK1 != $true )
| ( sK2 != $true )
| ( sK1 != sK0 )
| ( sK2 != sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f38,plain,
( spl3_4
| spl3_2
| spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f16,f29,f21,f25,f33]) ).
tff(f16,plain,
( ( sK1 = sK0 )
| ( sK1 = $true )
| ( sK2 = sK0 )
| ( sK2 = $true ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f37,plain,
( ~ spl3_3
| spl3_2
| ~ spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f12,f33,f21,f25,f29]) ).
tff(f12,plain,
( ( sK2 != sK0 )
| ( sK2 != $true )
| ( sK1 = sK0 )
| ( sK1 = $true ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f36,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f14,f33,f29,f25,f21]) ).
tff(f14,plain,
( ( sK1 != sK0 )
| ( sK2 = $true )
| ( sK1 = $true )
| ( sK2 != sK0 ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO091^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n005.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 : Mon May 20 10:52:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % (26936)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.37 % (26938)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.15/0.37 % (26939)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.37 % (26940)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.37 % (26941)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.37 % (26942)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.37 % (26941)Refutation not found, incomplete strategy
% 0.15/0.37 % (26941)------------------------------
% 0.15/0.37 % (26941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (26941)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37
% 0.15/0.37 % (26941)Memory used [KB]: 5500
% 0.15/0.37 % (26941)Time elapsed: 0.003 s
% 0.15/0.37 % (26941)Instructions burned: 2 (million)
% 0.15/0.37 % (26941)------------------------------
% 0.15/0.37 % (26941)------------------------------
% 0.15/0.37 % (26939)Instruction limit reached!
% 0.15/0.37 % (26939)------------------------------
% 0.15/0.37 % (26939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (26939)Termination reason: Unknown
% 0.15/0.37 % (26939)Termination phase: Saturation
% 0.15/0.37 % (26940)Instruction limit reached!
% 0.15/0.37 % (26940)------------------------------
% 0.15/0.37 % (26940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (26940)Termination reason: Unknown
% 0.15/0.37 % (26940)Termination phase: Saturation
% 0.15/0.37
% 0.15/0.37 % (26940)Memory used [KB]: 5500
% 0.15/0.37 % (26940)Time elapsed: 0.004 s
% 0.15/0.37 % (26940)Instructions burned: 3 (million)
% 0.15/0.37 % (26940)------------------------------
% 0.15/0.37 % (26940)------------------------------
% 0.15/0.37
% 0.15/0.37 % (26939)Memory used [KB]: 5500
% 0.15/0.37 % (26939)Time elapsed: 0.004 s
% 0.15/0.37 % (26939)Instructions burned: 3 (million)
% 0.15/0.37 % (26939)------------------------------
% 0.15/0.37 % (26939)------------------------------
% 0.15/0.37 % (26938)First to succeed.
% 0.15/0.37 % (26942)Also succeeded, but the first one will report.
% 0.15/0.37 % (26938)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (26938)------------------------------
% 0.15/0.38 % (26938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26938)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (26938)Memory used [KB]: 5500
% 0.15/0.38 % (26938)Time elapsed: 0.006 s
% 0.15/0.38 % (26938)Instructions burned: 3 (million)
% 0.15/0.38 % (26938)------------------------------
% 0.15/0.38 % (26938)------------------------------
% 0.15/0.38 % (26935)Success in time 0.007 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------