TSTP Solution File: CSR128_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR128_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 : n023.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 05:03:39 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 13 unt; 5 typ; 0 def)
% Number of atoms : 341 ( 41 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 163 ( 73 ~; 70 |; 6 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 179 ( 177 fml; 2 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 20 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 43 ( 35 !; 8 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_7,type,
bG0: $i > $o ).
tff(func_def_8,type,
bG1: $o ).
tff(func_def_9,type,
bG2: $i > $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f122,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f40,f69,f79,f83,f99,f101,f104,f107,f121]) ).
tff(f121,plain,
( spl3_2
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f120]) ).
tff(f120,plain,
( $false
| spl3_2
| ~ spl3_7 ),
inference(resolution,[],[f118,f37]) ).
tff(f37,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| spl3_2 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f36,plain,
( spl3_2
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f118,plain,
( ! [X0: $i] : likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ spl3_7 ),
inference(trivial_inequality_removal,[],[f114]) ).
tff(f114,plain,
( ! [X0: $i] :
( ( $true = $false )
| likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl3_7 ),
inference(backward_demodulation,[],[f21,f68]) ).
tff(f68,plain,
( ! [X0: $i] : ( $false = bG2(X0) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f67,plain,
( spl3_7
<=> ! [X0] : ( $false = bG2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f21,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true = bG2(X0) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG2(X0) ) )
& ( ( $true = bG2(X0) )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG2(X0) ) )
& ( ( $true = bG2(X0) )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( $true = bG2(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( $true = bG2(X0) ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f107,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f106,f32,f57]) ).
tff(f57,plain,
( spl3_5
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f32,plain,
( spl3_1
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f106,plain,
( ( $false = bG1 )
| spl3_1 ),
inference(trivial_inequality_removal,[],[f105]) ).
tff(f105,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl3_1 ),
inference(superposition,[],[f34,f6]) ).
tff(f6,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f34,plain,
( ( $true != bG1 )
| spl3_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f104,plain,
( ~ spl3_4
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f102]) ).
tff(f102,plain,
( $false
| ~ spl3_4
| ~ spl3_6 ),
inference(resolution,[],[f54,f63]) ).
tff(f63,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f61,plain,
( spl3_6
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f54,plain,
( ! [X1: $i] : ~ holdsDuring_THFTYPE_IiooI(X1,$true)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f53,plain,
( spl3_4
<=> ! [X1] : ~ holdsDuring_THFTYPE_IiooI(X1,$true) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f101,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f100,f53,f50]) ).
tff(f50,plain,
( spl3_3
<=> ! [X0] : ( $false = bG0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f100,plain,
! [X0: $i,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(X1,$true)
| ( $false = bG0(X0) ) ),
inference(superposition,[],[f28,f6]) ).
tff(f28,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,bG0(X1)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0,X1] : ~ holdsDuring_THFTYPE_IiooI(X0,bG0(X1)),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
~ ? [X0,X1] : holdsDuring_THFTYPE_IiooI(X0,bG0(X1)),
inference(fool_elimination,[],[f7,f8]) ).
tff(f8,plain,
! [X1] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
<=> ( $true = bG0(X1) ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f7,plain,
~ ? [X0,X1] : holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ? [X1,X2] : holdsDuring_THFTYPE_IiooI(X1,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X2)),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
? [X1,X2] : holdsDuring_THFTYPE_IiooI(X1,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f99,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f98]) ).
tff(f98,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f96,f75]) ).
tff(f75,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$false)
| ~ spl3_3 ),
inference(backward_demodulation,[],[f28,f51]) ).
tff(f51,plain,
( ! [X0: $i] : ( $false = bG0(X0) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f96,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl3_2
| ~ spl3_3 ),
inference(superposition,[],[f30,f93]) ).
tff(f93,plain,
( ( $false = bG2(lBill_THFTYPE_i) )
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f91,f38]) ).
tff(f38,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f91,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $false = bG2(X0) ) )
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f90]) ).
tff(f90,plain,
( ! [X0: $i] :
( ( $true != $true )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $false = bG2(X0) ) )
| ~ spl3_3 ),
inference(superposition,[],[f89,f6]) ).
tff(f89,plain,
( ! [X0: $i] :
( ( $true != bG2(X0) )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f23,f86]) ).
tff(f86,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f85]) ).
tff(f85,plain,
( ! [X0: $i] :
( ( $true = $false )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl3_3 ),
inference(forward_demodulation,[],[f26,f51]) ).
tff(f26,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true = bG0(X0) ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true != bG0(X0) ) )
& ( ( $true = bG0(X0) )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
<=> ( $true = bG0(X0) ) ),
inference(rectify,[],[f8]) ).
tff(f23,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG2(X0) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f30,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG2(X0)),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG2(X0)),
inference(fool_elimination,[],[f2,f12]) ).
tff(f2,axiom,
! [X0] :
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
tff(f83,plain,
( spl3_6
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f82,f32,f61]) ).
tff(f82,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f29,f33]) ).
tff(f33,plain,
( ( $true = bG1 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f29,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(fool_elimination,[],[f1,f10]) ).
tff(f10,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f1,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f79,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f78]) ).
tff(f78,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(resolution,[],[f75,f71]) ).
tff(f71,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl3_5 ),
inference(backward_demodulation,[],[f29,f59]) ).
tff(f59,plain,
( ( $false = bG1 )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f69,plain,
( spl3_7
| spl3_6 ),
inference(avatar_split_clause,[],[f46,f61,f67]) ).
tff(f46,plain,
! [X0: $i] :
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ( $false = bG2(X0) ) ),
inference(superposition,[],[f30,f6]) ).
tff(f40,plain,
( ~ spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f24,f32,f36]) ).
tff(f24,plain,
( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f39,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f25,f36,f32]) ).
tff(f25,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR128_8 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.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 : Fri May 3 20:19:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (777)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (782)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (783)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (785)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)
% 0.14/0.37 % (779)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (780)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)
% 0.14/0.37 % (781)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [max,2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (785)Refutation not found, incomplete strategy% (785)------------------------------
% 0.14/0.37 % (785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (785)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (785)Memory used [KB]: 735
% 0.14/0.37 % (785)Time elapsed: 0.004 s
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [1,2,max,1,2]
% 0.14/0.37 % (785)Instructions burned: 5 (million)
% 0.14/0.37 TRYING [1,1,1,1,1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [1,2,max,1,2]
% 0.14/0.37 TRYING [1,1,1,1,1]
% 0.14/0.37 TRYING [1,1,1,1,2]
% 0.14/0.37 % (785)------------------------------
% 0.14/0.37 % (785)------------------------------
% 0.14/0.37 TRYING [1,1,1,1,2]
% 0.14/0.37 % (783)First to succeed.
% 0.14/0.37 TRYING [1,2,2,1,2]
% 0.14/0.37 TRYING [1,2,2,1,2]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (779)Refutation not found, incomplete strategy% (779)------------------------------
% 0.14/0.37 % (779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (779)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37 % (781)Refutation not found, incomplete strategy% (781)------------------------------
% 0.14/0.37 % (781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (781)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (781)Memory used [KB]: 734
% 0.14/0.37 % (781)Time elapsed: 0.004 s
% 0.14/0.37 % (781)Instructions burned: 5 (million)
% 0.14/0.37
% 0.14/0.37 % (779)Memory used [KB]: 734
% 0.14/0.37 % (779)Time elapsed: 0.004 s
% 0.14/0.37 % (779)Instructions burned: 5 (million)
% 0.14/0.37 % (781)------------------------------
% 0.14/0.37 % (781)------------------------------
% 0.14/0.37 % (779)------------------------------
% 0.14/0.37 % (779)------------------------------
% 0.14/0.37 % (778)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (783)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-777"
% 0.14/0.37 % (783)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (783)------------------------------
% 0.14/0.37 % (783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (783)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (783)Memory used [KB]: 777
% 0.14/0.37 % (783)Time elapsed: 0.005 s
% 0.14/0.37 % (783)Instructions burned: 6 (million)
% 0.14/0.37 % (777)Success in time 0.016 s
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