TSTP Solution File: NUM653^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 08:41:40 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 237 ( 59 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 100 ( 58 ~; 14 |; 4 &; 0 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 4 con; 0-6 aty)
% Number of variables : 26 ( 0 ^ 20 !; 0 ?; 26 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
less: nat > nat > $o ).
thf(func_def_5,type,
more: nat > nat > $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(f84,plain,
$false,
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
$true = $false,
inference(forward_demodulation,[],[f81,f65]) ).
thf(f65,plain,
! [X0: nat] : ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X0) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f64,plain,
! [X0: nat] :
( ( $true != $true )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X0) ) ),
inference(superposition,[],[f32,f7]) ).
thf(f7,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f32,plain,
! [X1: nat] : ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X1),X1) ),
inference(equality_resolution,[],[f27]) ).
thf(f27,plain,
! [X0: nat,X1: nat] :
( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) )
& ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ) )
& ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
| ( X0 != X1 ) ) ),
inference(flattening,[],[f22]) ).
thf(f22,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) )
& ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ) )
& ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ) )
=> ( ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
=> ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) )
=> ~ ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) ) )
=> ~ ~ ( ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
=> ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) )
=> ~ ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
=> ( X0 != X1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
=> ~ ~ ( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1)
=> ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) )
=> ~ ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1)
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X1),X2) )
=> ~ ~ ( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X1),X2)
=> ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2) )
=> ~ ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X1),X2)
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10b) ).
thf(f81,plain,
$true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),x),
inference(backward_demodulation,[],[f24,f79]) ).
thf(f79,plain,
x = y,
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
( ( $true != $true )
| ( x = y ) ),
inference(superposition,[],[f75,f25]) ).
thf(f25,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) = $true )
| ( x = y ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( ( x = y )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) = $true ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) != $true )
=> ( x = y ) ),
inference(flattening,[],[f11]) ).
thf(f11,plain,
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) != $true )
=> ( x = y ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
( ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y)
=> ( x = y ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y)
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(f75,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) != $true,
inference(trivial_inequality_removal,[],[f71]) ).
thf(f71,plain,
( ( $true != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,x),y) != $true ) ),
inference(superposition,[],[f28,f24]) ).
thf(f28,plain,
! [X0: nat,X1: nat] :
( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,X0),X1) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),less,X0),X1) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f24,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) = $true,
inference(flattening,[],[f9]) ).
thf(f9,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y) != $true,
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
~ ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),more,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n002.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 : Fri May 3 14:53:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1926)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1927)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1928)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)
% 0.13/0.37 % (1924)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1925)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1929)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)
% 0.13/0.37 % (1926)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)
% 0.13/0.37 % (1930)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)
% 0.13/0.37 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.13/0.37
% 0.13/0.37 User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (1930)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (1929)First to succeed.
% 0.13/0.37 % (1928)Also succeeded, but the first one will report.
% 0.13/0.37 % (1930)Also succeeded, but the first one will report.
% 0.13/0.37 % (1926)Also succeeded, but the first one will report.
% 0.13/0.37 % (1929)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1923"
% 0.13/0.37 % (1929)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 % (1929)------------------------------
% 0.13/0.37 % (1929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1929)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (1929)Memory used [KB]: 774
% 0.13/0.37 % (1929)Time elapsed: 0.005 s
% 0.13/0.37 % (1929)Instructions burned: 6 (million)
% 0.13/0.37 % (1923)Success in time 0.009 s
%------------------------------------------------------------------------------