TSTP Solution File: SEV060^5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV060^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 09:43:48 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 52 ( 12 unt; 18 typ; 0 def)
% Number of atoms : 368 ( 103 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 122 ( 37 ~; 32 |; 36 &; 0 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 58 ( 57 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 91 ( 0 ^ 57 !; 28 ?; 91 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_5,type,
sK0: b ).
thf(func_def_6,type,
sK1: a ).
thf(func_def_7,type,
sK2: b > a > $o ).
thf(func_def_8,type,
sK3: b > a > $o ).
thf(func_def_9,type,
sK4: b ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f77,plain,
$false,
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
$true = $false,
inference(forward_demodulation,[],[f74,f48]) ).
thf(f48,plain,
$false = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1) ) ),
inference(superposition,[],[f16,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f16,plain,
$true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5) )
& ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1) )
& ! [X6: b,X7: a] :
( ( ( sK1 = X7 )
& ( sK0 = X6 ) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f10,f12,f11]) ).
thf(f11,plain,
( ? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) != $true )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X6: b,X7: a] :
( ( ( X1 = X7 )
& ( X0 = X6 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) != $true ) ) )
=> ( ? [X5: a,X4: b] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X4),X5) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X4),X5) ) )
& ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1) )
& ! [X7: a,X6: b] :
( ( ( sK1 = X7 )
& ( sK0 = X6 ) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X5: a,X4: b] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X4),X5) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X4),X5) ) )
=> ( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) != $true )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X6: b,X7: a] :
( ( ( X1 = X7 )
& ( X0 = X6 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) != $true ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) != $true )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) != $true ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) != $true )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) != $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true )
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true ) ) ) )
=> ! [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true )
=> ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1) != $true )
& ! [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true )
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true ) ) ) )
=> ! [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true )
=> ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ( ~ vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1)
& ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) ) )
=> ! [X6: b,X7: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7)
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ( ~ vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1)
& ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) ) )
=> ! [X6: b,X7: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7)
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ( ~ vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X0),X1)
& ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) ) )
=> ! [X6: b,X7: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7)
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM173_pme) ).
thf(f74,plain,
$true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK1),
inference(backward_demodulation,[],[f65,f73]) ).
thf(f73,plain,
sK1 = sK5,
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( $true = $false )
| ( sK1 = sK5 ) ),
inference(forward_demodulation,[],[f71,f64]) ).
thf(f64,plain,
$false = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK0),sK5),
inference(backward_demodulation,[],[f51,f63]) ).
thf(f63,plain,
sK0 = sK4,
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
( ( $true = $false )
| ( sK0 = sK4 ) ),
inference(forward_demodulation,[],[f61,f51]) ).
thf(f61,plain,
( ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
| ( sK0 = sK4 ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f57,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
| ( sK0 = sK4 ) ),
inference(superposition,[],[f14,f17]) ).
thf(f17,plain,
$true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5),
inference(cnf_transformation,[],[f13]) ).
thf(f14,plain,
! [X6: b,X7: a] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( sK0 = X6 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f51,plain,
$false = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) ) ),
inference(superposition,[],[f18,f4]) ).
thf(f18,plain,
$true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5),
inference(cnf_transformation,[],[f13]) ).
thf(f71,plain,
( ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK0),sK5) )
| ( sK1 = sK5 ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f68,plain,
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK0),sK5) )
| ( sK1 = sK5 ) ),
inference(superposition,[],[f15,f65]) ).
thf(f15,plain,
! [X6: b,X7: a] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( sK1 = X7 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f65,plain,
$true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK0),sK5),
inference(backward_demodulation,[],[f17,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV060^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 12:04:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13091)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (13095)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13094)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13095)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)
% 0.14/0.38 % (13093)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13096)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13097)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)
% 0.14/0.38 % (13098)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)
% 0.14/0.38 % (13100)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)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (13100)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (13098)First to succeed.
% 0.14/0.38 % (13100)Also succeeded, but the first one will report.
% 0.14/0.38 % (13097)Also succeeded, but the first one will report.
% 0.14/0.38 % (13095)Also succeeded, but the first one will report.
% 0.14/0.39 % (13098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13091"
% 0.14/0.39 % (13098)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (13098)------------------------------
% 0.14/0.39 % (13098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (13098)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (13098)Memory used [KB]: 777
% 0.14/0.39 % (13098)Time elapsed: 0.006 s
% 0.14/0.39 % (13098)Instructions burned: 7 (million)
% 0.14/0.39 % (13091)Success in time 0.019 s
%------------------------------------------------------------------------------