TSTP Solution File: CSR119_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR119_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Mon May 20 19:46:02 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 231 ( 31 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 65 ( 27 ~; 29 |; 7 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 160 ( 158 fml; 2 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 12 ( 9 !; 3 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_7,type,
bG0: $i > $o ).
tff(func_def_8,type,
bG1: $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f74,plain,
$false,
inference(subsumption_resolution,[],[f72,f57]) ).
tff(f57,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(backward_demodulation,[],[f20,f54]) ).
tff(f54,plain,
$false = bG1,
inference(subsumption_resolution,[],[f48,f24]) ).
tff(f24,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ( $false = bG1 ) ),
inference(superposition,[],[f20,f5]) ).
tff(f5,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f48,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ( $false = bG1 ) ),
inference(superposition,[],[f19,f35]) ).
tff(f35,plain,
( ( $true = bG0(lMary_THFTYPE_i) )
| ( $false = bG1 ) ),
inference(resolution,[],[f17,f32]) ).
tff(f32,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( $false = bG1 ) ),
inference(trivial_inequality_removal,[],[f31]) ).
tff(f31,plain,
( ( $true != $true )
| likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( $false = bG1 ) ),
inference(superposition,[],[f15,f5]) ).
tff(f15,plain,
( ( $true != bG1 )
| likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f17,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $true = bG0(X0) ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0] :
( ( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $true != bG0(X0) ) )
& ( ( $true = bG0(X0) )
| ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
! [X0] :
( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
<=> ( $true = bG0(X0) ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f19,plain,
! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(fool_elimination,[],[f3,f6]) ).
tff(f3,negated_conjecture,
~ ? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
? [X0] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f20,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1),
inference(fool_elimination,[],[f1,f8]) ).
tff(f1,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f72,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(superposition,[],[f19,f69]) ).
tff(f69,plain,
$false = bG0(lMary_THFTYPE_i),
inference(subsumption_resolution,[],[f67,f57]) ).
tff(f67,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ( $false = bG0(lMary_THFTYPE_i) ) ),
inference(superposition,[],[f19,f64]) ).
tff(f64,plain,
( ( $false = bG0(lSue_THFTYPE_i) )
| ( $false = bG0(lMary_THFTYPE_i) ) ),
inference(resolution,[],[f63,f39]) ).
tff(f39,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $false = bG0(X0) ) ),
inference(trivial_inequality_removal,[],[f38]) ).
tff(f38,plain,
! [X0: $i] :
( ( $true != $true )
| likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $false = bG0(X0) ) ),
inference(superposition,[],[f18,f5]) ).
tff(f18,plain,
! [X0: $i] :
( ( $true != bG0(X0) )
| likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f13]) ).
tff(f63,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( $false = bG0(lSue_THFTYPE_i) ) ),
inference(resolution,[],[f62,f39]) ).
tff(f62,plain,
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(trivial_inequality_removal,[],[f61]) ).
tff(f61,plain,
( ( $true = $false )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(forward_demodulation,[],[f14,f54]) ).
tff(f14,plain,
( ( $true = bG1 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR119_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 02:32:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (6236)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (6237)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (6241)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (6240)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (6238)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (6242)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [max,2]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [1,2,max,1,2]
% 0.13/0.37 Detected maximum model sizes of [1,2,max,1,2]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,1,1,1,1]
% 0.13/0.37 TRYING [1,1,1,1,1]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [1,1,1,1,2]
% 0.13/0.37 TRYING [1,1,1,1,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [1,2,2,1,2]
% 0.13/0.37 TRYING [1,2,2,1,2]
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 % (6241)First to succeed.
% 0.13/0.37 % (6237)Refutation not found, incomplete strategy% (6237)------------------------------
% 0.13/0.37 % (6237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (6237)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (6237)Memory used [KB]: 728
% 0.13/0.37 % (6237)Time elapsed: 0.004 s
% 0.13/0.37 % (6237)Instructions burned: 4 (million)
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 % (6240)Refutation not found, incomplete strategy% (6240)------------------------------
% 0.13/0.37 % (6240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (6240)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (6240)Memory used [KB]: 731
% 0.13/0.37 % (6240)Time elapsed: 0.004 s
% 0.13/0.37 % (6240)Instructions burned: 4 (million)
% 0.13/0.37 % (6238)Refutation not found, incomplete strategy% (6238)------------------------------
% 0.13/0.37 % (6238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (6238)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (6238)Memory used [KB]: 731
% 0.13/0.37 % (6238)Time elapsed: 0.005 s
% 0.13/0.37 % (6237)------------------------------
% 0.13/0.37 % (6237)------------------------------
% 0.13/0.37 % (6238)Instructions burned: 4 (million)
% 0.13/0.37 % (6240)------------------------------
% 0.13/0.37 % (6240)------------------------------
% 0.13/0.37 % (6241)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6236"
% 0.13/0.37 % (6238)------------------------------
% 0.13/0.37 % (6238)------------------------------
% 0.13/0.37 % (6241)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (6241)------------------------------
% 0.13/0.37 % (6241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (6241)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (6241)Memory used [KB]: 760
% 0.13/0.37 % (6241)Time elapsed: 0.005 s
% 0.13/0.37 % (6241)Instructions burned: 5 (million)
% 0.13/0.37 % (6236)Success in time 0.009 s
%------------------------------------------------------------------------------