TSTP Solution File: SEU844^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU844^5 : 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 : n021.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 04:06:52 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 5 unt; 15 typ; 0 def)
% Number of atoms : 225 ( 61 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 74 ( 25 ~; 14 |; 21 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 41 ( 40 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-6 aty)
% Number of variables : 44 ( 0 ^ 29 !; 9 ?; 44 :)
% ( 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,
cS: a > $o ).
thf(func_def_2,type,
cT: a > $o ).
thf(func_def_6,type,
sP0: $o ).
thf(func_def_7,type,
sK1: a ).
thf(func_def_8,type,
sK2: a ).
thf(func_def_9,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_10,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vOR: $o > $o > $o ).
thf(func_def_13,type,
vIMP: $o > $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f104,plain,
$false,
inference(unit_resulting_resolution,[],[f58,f71,f18]) ).
thf(f18,plain,
( ( $true != vAPP(a,$o,cT,sK1) )
| ( $true != sP0 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( ( $true != vAPP(a,$o,cT,sK1) )
& ( $true = vAPP(a,$o,cS,sK1) ) )
| ( $true != sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f12]) ).
thf(f12,plain,
( ? [X0: a] :
( ( $true != vAPP(a,$o,cT,X0) )
& ( $true = vAPP(a,$o,cS,X0) ) )
=> ( ( $true != vAPP(a,$o,cT,sK1) )
& ( $true = vAPP(a,$o,cS,sK1) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X0: a] :
( ( $true != vAPP(a,$o,cT,X0) )
& ( $true = vAPP(a,$o,cS,X0) ) )
| ( $true != sP0 ) ),
inference(rectify,[],[f10]) ).
thf(f10,plain,
( ? [X3: a] :
( ( $true != vAPP(a,$o,cT,X3) )
& ( $true = vAPP(a,$o,cS,X3) ) )
| ( $true != sP0 ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f8,plain,
( ? [X3: a] :
( ( $true != vAPP(a,$o,cT,X3) )
& ( $true = vAPP(a,$o,cS,X3) ) )
| ( $true != sP0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).
thf(f71,plain,
! [X0: a > $o] : ( $true = vAPP(a,$o,X0,sK1) ),
inference(superposition,[],[f66,f19]) ).
thf(f19,plain,
! [X2: a > $o,X1: a > $o] : ( X1 = X2 ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ( ( $true != vAPP(a,$o,cS,sK2) )
& ( $true = vAPP(a,$o,cT,sK2) ) )
| ( $true = sP0 ) )
& ! [X1: a > $o,X2: a > $o] : ( X1 = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f14,f15]) ).
thf(f15,plain,
( ? [X0: a] :
( ( $true != vAPP(a,$o,cS,X0) )
& ( $true = vAPP(a,$o,cT,X0) ) )
=> ( ( $true != vAPP(a,$o,cS,sK2) )
& ( $true = vAPP(a,$o,cT,sK2) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ( ? [X0: a] :
( ( $true != vAPP(a,$o,cS,X0) )
& ( $true = vAPP(a,$o,cT,X0) ) )
| ( $true = sP0 ) )
& ! [X1: a > $o,X2: a > $o] : ( X1 = X2 ) ),
inference(rectify,[],[f9]) ).
thf(f9,plain,
( ( ? [X2: a] :
( ( vAPP(a,$o,cS,X2) != $true )
& ( vAPP(a,$o,cT,X2) = $true ) )
| ( $true = sP0 ) )
& ! [X0: a > $o,X1: a > $o] : ( X0 = X1 ) ),
inference(definition_folding,[],[f7,f8]) ).
thf(f7,plain,
( ( ? [X2: a] :
( ( vAPP(a,$o,cS,X2) != $true )
& ( vAPP(a,$o,cT,X2) = $true ) )
| ? [X3: a] :
( ( $true != vAPP(a,$o,cT,X3) )
& ( $true = vAPP(a,$o,cS,X3) ) ) )
& ! [X0: a > $o,X1: a > $o] : ( X0 = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( ( vAPP(a,$o,cT,X2) = $true )
=> ( vAPP(a,$o,cS,X2) = $true ) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,cS,X3) )
=> ( $true = vAPP(a,$o,cT,X3) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( vAPP(a,$o,cT,X2)
=> vAPP(a,$o,cS,X2) )
& ! [X3: a] :
( vAPP(a,$o,cS,X3)
=> vAPP(a,$o,cT,X3) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( vAPP(a,$o,cT,X2)
=> vAPP(a,$o,cS,X2) )
& ! [X2: a] :
( vAPP(a,$o,cS,X2)
=> vAPP(a,$o,cT,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > $o,X1: a > $o] : ( X0 = X1 )
=> ( ! [X2: a] :
( vAPP(a,$o,cT,X2)
=> vAPP(a,$o,cS,X2) )
& ! [X2: a] :
( vAPP(a,$o,cS,X2)
=> vAPP(a,$o,cT,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM8_pme) ).
thf(f66,plain,
$true = vAPP(a,$o,cS,sK1),
inference(unit_resulting_resolution,[],[f58,f17]) ).
thf(f17,plain,
( ( $true != sP0 )
| ( $true = vAPP(a,$o,cS,sK1) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f58,plain,
$true = sP0,
inference(subsumption_resolution,[],[f54,f52]) ).
thf(f52,plain,
! [X0: a > $o] :
( ( $true = vAPP(a,$o,X0,sK2) )
| ( $true = sP0 ) ),
inference(superposition,[],[f20,f19]) ).
thf(f20,plain,
( ( $true = vAPP(a,$o,cT,sK2) )
| ( $true = sP0 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f54,plain,
! [X0: a > $o] :
( ( $true != vAPP(a,$o,X0,sK2) )
| ( $true = sP0 ) ),
inference(superposition,[],[f21,f19]) ).
thf(f21,plain,
( ( $true != vAPP(a,$o,cS,sK2) )
| ( $true = sP0 ) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU844^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.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 : Sun May 19 17:35:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9564)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (9567)WARNING: value z3 for option sas not known
% 0.14/0.38 % (9568)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (9566)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 % (9565)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9569)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 % (9570)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 % (9567)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 % (9571)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 % (9571)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 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38
% 0.14/0.38 % Exception at run slice levelUser error:
% 0.14/0.38 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (9571)First to succeed.
% 0.14/0.38 % (9571)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9564"
% 0.14/0.38 % (9569)Also succeeded, but the first one will report.
% 0.14/0.38 % (9571)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (9571)------------------------------
% 0.14/0.38 % (9571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (9571)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (9571)Memory used [KB]: 765
% 0.14/0.38 % (9571)Time elapsed: 0.006 s
% 0.14/0.38 % (9571)Instructions burned: 6 (million)
% 0.14/0.38 % (9564)Success in time 0.02 s
%------------------------------------------------------------------------------