TSTP Solution File: CSR124_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR124_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 05:03:37 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 63 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 287 ( 34 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 120 ( 51 ~; 52 |; 8 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 161 ( 159 fml; 2 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 19 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_7,type,
bG0: $o ).
tff(func_def_8,type,
bG1: $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f88,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f32,f37,f43,f44,f62,f63,f68,f69,f79,f82,f87]) ).
tff(f87,plain,
( ~ spl2_3
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f86]) ).
tff(f86,plain,
( $false
| ~ spl2_3
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f83]) ).
tff(f83,plain,
( ( $true = $false )
| ~ spl2_3
| ~ spl2_7 ),
inference(backward_demodulation,[],[f35,f67]) ).
tff(f67,plain,
( ( $false = bG0 )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f65,plain,
( spl2_7
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f35,plain,
( ( $true = bG0 )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f34,plain,
( spl2_3
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f82,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f81]) ).
tff(f81,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f80]) ).
tff(f80,plain,
( ( $true = $false )
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f25,f57]) ).
tff(f57,plain,
( ( $false = bG1 )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f55,plain,
( spl2_5
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f25,plain,
( ( $true = bG1 )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f24,plain,
( spl2_1
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f79,plain,
( ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f78]) ).
tff(f78,plain,
( $false
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f74,f70]) ).
tff(f70,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl2_7 ),
inference(backward_demodulation,[],[f20,f67]) ).
tff(f20,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(flattening,[],[f8]) ).
tff(f8,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(fool_elimination,[],[f4,f7]) ).
tff(f7,plain,
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f4,negated_conjecture,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f74,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl2_5 ),
inference(backward_demodulation,[],[f22,f57]) ).
tff(f22,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(fool_elimination,[],[f2,f9]) ).
tff(f9,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f2,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
tff(f69,plain,
( spl2_7
| spl2_3 ),
inference(avatar_split_clause,[],[f52,f34,f65]) ).
tff(f52,plain,
( ( $false = bG0 )
| spl2_3 ),
inference(trivial_inequality_removal,[],[f50]) ).
tff(f50,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl2_3 ),
inference(superposition,[],[f36,f6]) ).
tff(f6,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f36,plain,
( ( $true != bG0 )
| spl2_3 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f68,plain,
( spl2_7
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f49,f59,f65]) ).
tff(f59,plain,
( spl2_6
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f49,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ( $false = bG0 ) ),
inference(superposition,[],[f20,f6]) ).
tff(f63,plain,
( spl2_5
| spl2_1 ),
inference(avatar_split_clause,[],[f53,f24,f55]) ).
tff(f53,plain,
( ( $false = bG1 )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f48]) ).
tff(f48,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl2_1 ),
inference(superposition,[],[f26,f6]) ).
tff(f26,plain,
( ( $true != bG1 )
| spl2_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f62,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f47,f59,f55]) ).
tff(f47,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ( $false = bG1 ) ),
inference(superposition,[],[f22,f6]) ).
tff(f44,plain,
spl2_4,
inference(avatar_split_clause,[],[f21,f39]) ).
tff(f39,plain,
( spl2_4
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f21,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
tff(f43,plain,
( ~ spl2_4
| ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f17,f34,f28,f39]) ).
tff(f28,plain,
( spl2_2
<=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f17,plain,
( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(flattening,[],[f13]) ).
tff(f13,plain,
( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f37,plain,
( ~ spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f19,f28,f34]) ).
tff(f19,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f32,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f15,f24,f28]) ).
tff(f15,plain,
( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f31,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f16,f28,f24]) ).
tff(f16,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR124_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Fri May 3 20:23:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7641)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7645)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (7647)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (7644)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (7642)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (7646)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (7643)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (7648)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,4]
% 0.15/0.38 Detected maximum model sizes of [1,2,max,1,4]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [1,2,max,1,4]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,4]
% 0.15/0.38 TRYING [1,1,1,1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1,1,1,2]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 TRYING [1,1,1,1,2]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [1,1,1,1,3]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [1,1,1,1,3]
% 0.15/0.38 TRYING [1,2,2,1,2]
% 0.15/0.38 TRYING [1,2,2,1,2]
% 0.15/0.38 TRYING [1,3]
% 0.15/0.38 TRYING [1,3]
% 0.15/0.38 % (7647)First to succeed.
% 0.15/0.38 % (7646)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2,3]
% 0.15/0.38 TRYING [1,1,1,1,4]
% 0.15/0.38 TRYING [2,3]
% 0.15/0.38 TRYING [1,1,1,1,4]
% 0.15/0.38 % (7644)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1,2,2,1,3]
% 0.15/0.38 TRYING [1,4]
% 0.15/0.38 TRYING [1,4]
% 0.15/0.38 TRYING [1,2,2,1,3]
% 0.15/0.38 TRYING [2,4]
% 0.15/0.38 TRYING [1,2,2,1,4]
% 0.15/0.38 TRYING [2,4]
% 0.15/0.38 TRYING [1,2,2,1,4]
% 0.15/0.38 % (7647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7641"
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (7642)Refutation not found, incomplete strategy% (7642)------------------------------
% 0.15/0.38 % (7642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7642)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (7642)Memory used [KB]: 728
% 0.15/0.38 % (7642)Time elapsed: 0.005 s
% 0.15/0.38 % (7642)Instructions burned: 6 (million)
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (7645)Refutation not found, incomplete strategy% (7645)------------------------------
% 0.15/0.38 % (7645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7645)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (7645)Memory used [KB]: 729
% 0.15/0.38 % (7645)Time elapsed: 0.005 s
% 0.15/0.38 % (7645)Instructions burned: 6 (million)
% 0.15/0.38 % (7648)Refutation not found, incomplete strategy% (7648)------------------------------
% 0.15/0.38 % (7648)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7648)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (7648)Memory used [KB]: 729
% 0.15/0.38 % (7648)Time elapsed: 0.005 s
% 0.15/0.38 % (7648)Instructions burned: 6 (million)
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (7643)Refutation not found, incomplete strategy% (7643)------------------------------
% 0.15/0.38 % (7643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7643)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (7643)Memory used [KB]: 729
% 0.15/0.38 % (7643)Time elapsed: 0.006 s
% 0.15/0.38 % (7643)Instructions burned: 6 (million)
% 0.15/0.38 % (7642)------------------------------
% 0.15/0.38 % (7642)------------------------------
% 0.15/0.38 % (7645)------------------------------
% 0.15/0.38 % (7645)------------------------------
% 0.15/0.38 % (7648)------------------------------
% 0.15/0.38 % (7648)------------------------------
% 0.15/0.38 % (7643)------------------------------
% 0.15/0.38 % (7643)------------------------------
% 0.15/0.38 % (7647)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (7647)------------------------------
% 0.15/0.38 % (7647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7647)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (7647)Memory used [KB]: 754
% 0.15/0.38 % (7647)Time elapsed: 0.005 s
% 0.15/0.38 % (7647)Instructions burned: 4 (million)
% 0.15/0.38 % (7641)Success in time 0.01 s
%------------------------------------------------------------------------------