TSTP Solution File: SEV241^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV241^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 04:15:30 EDT 2024
% Result : Theorem 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 36 ( 8 unt; 14 typ; 0 def)
% Number of atoms : 194 ( 59 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 59 ( 12 ~; 16 |; 21 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 30 ( 29 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 23 ( 0 ^ 9 !; 8 ?; 23 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cW: a > $o ).
thf(func_def_2,type,
cU: a > $o ).
thf(func_def_6,type,
sK0: a ).
thf(func_def_7,type,
sK1: a > $o ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
$true = $false,
inference(forward_demodulation,[],[f50,f28]) ).
thf(f28,plain,
$false = vAPP(a,$o,sK1,sK0),
inference(trivial_inequality_removal,[],[f26]) ).
thf(f26,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK0) ) ),
inference(superposition,[],[f15,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f15,plain,
$true != vAPP(a,$o,sK1,sK0),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ( $true != vAPP(a,$o,sK1,sK0) )
& ( ( cW = sK1 )
| ( cU = sK1 ) )
& ( $true = vAPP(a,$o,cW,sK0) )
& ( $true = vAPP(a,$o,cU,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a] :
( ? [X1: a > $o] :
( ( vAPP(a,$o,X1,X0) != $true )
& ( ( cW = X1 )
| ( cU = X1 ) ) )
& ( vAPP(a,$o,cW,X0) = $true )
& ( vAPP(a,$o,cU,X0) = $true ) )
=> ( ? [X1: a > $o] :
( ( $true != vAPP(a,$o,X1,sK0) )
& ( ( cW = X1 )
| ( cU = X1 ) ) )
& ( $true = vAPP(a,$o,cW,sK0) )
& ( $true = vAPP(a,$o,cU,sK0) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X1: a > $o] :
( ( $true != vAPP(a,$o,X1,sK0) )
& ( ( cW = X1 )
| ( cU = X1 ) ) )
=> ( ( $true != vAPP(a,$o,sK1,sK0) )
& ( ( cW = sK1 )
| ( cU = sK1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a] :
( ? [X1: a > $o] :
( ( vAPP(a,$o,X1,X0) != $true )
& ( ( cW = X1 )
| ( cU = X1 ) ) )
& ( vAPP(a,$o,cW,X0) = $true )
& ( vAPP(a,$o,cU,X0) = $true ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a] :
( ? [X1: a > $o] :
( ( vAPP(a,$o,X1,X0) != $true )
& ( ( cW = X1 )
| ( cU = X1 ) ) )
& ( vAPP(a,$o,cW,X0) = $true )
& ( vAPP(a,$o,cU,X0) = $true ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a] :
( ( ( vAPP(a,$o,cW,X0) = $true )
& ( vAPP(a,$o,cU,X0) = $true ) )
=> ! [X1: a > $o] :
( ( ( cW = X1 )
| ( cU = X1 ) )
=> ( vAPP(a,$o,X1,X0) = $true ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a] :
( ( vAPP(a,$o,cW,X0)
& vAPP(a,$o,cU,X0) )
=> ! [X1: a > $o] :
( ( ( cW = X1 )
| ( cU = X1 ) )
=> vAPP(a,$o,X1,X0) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a] :
( ( vAPP(a,$o,cW,X0)
& vAPP(a,$o,cU,X0) )
=> ! [X1: a > $o] :
( ( ( cW = X1 )
| ( cU = X1 ) )
=> vAPP(a,$o,X1,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a] :
( ( vAPP(a,$o,cW,X0)
& vAPP(a,$o,cU,X0) )
=> ! [X1: a > $o] :
( ( ( cW = X1 )
| ( cU = X1 ) )
=> vAPP(a,$o,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5201A_pme) ).
thf(f50,plain,
$true = vAPP(a,$o,sK1,sK0),
inference(backward_demodulation,[],[f13,f49]) ).
thf(f49,plain,
cW = sK1,
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
( ( $true = $false )
| ( cW = sK1 ) ),
inference(backward_demodulation,[],[f16,f28]) ).
thf(f16,plain,
( ( $true = vAPP(a,$o,sK1,sK0) )
| ( cW = sK1 ) ),
inference(superposition,[],[f12,f14]) ).
thf(f14,plain,
( ( cU = sK1 )
| ( cW = sK1 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f12,plain,
$true = vAPP(a,$o,cU,sK0),
inference(cnf_transformation,[],[f11]) ).
thf(f13,plain,
$true = vAPP(a,$o,cW,sK0),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEV241^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n004.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 18:55:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (8971)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (8974)WARNING: value z3 for option sas not known
% 0.16/0.39 % (8972)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (8975)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (8973)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (8974)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (8976)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.39 % (8977)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.39 % (8978)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.39 % Exception at run slice level% (8978)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.39 % Exception at run slice level
% 0.16/0.39 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39
% 0.16/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.39 % (8977)First to succeed.
% 0.16/0.39 % (8978)Also succeeded, but the first one will report.
% 0.16/0.39 % (8976)Also succeeded, but the first one will report.
% 0.16/0.39 % (8977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8971"
% 0.16/0.40 % (8974)Also succeeded, but the first one will report.
% 0.16/0.40 % (8977)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Theorem for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (8977)------------------------------
% 0.16/0.40 % (8977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (8977)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (8977)Memory used [KB]: 768
% 0.16/0.40 % (8977)Time elapsed: 0.004 s
% 0.16/0.40 % (8977)Instructions burned: 4 (million)
% 0.16/0.40 % (8971)Success in time 0.005 s
%------------------------------------------------------------------------------