TSTP Solution File: ALG298^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG298^5 : 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 : n007.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 18:36:54 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 47 ( 14 unt; 23 typ; 0 def)
% Number of atoms : 387 ( 62 equ; 0 cnn)
% Maximal formula atoms : 10 ( 16 avg)
% Number of connectives : 51 ( 12 ~; 0 |; 33 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 49 ( 48 >; 1 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 3 con; 0-6 aty)
% Number of variables : 128 ( 0 ^ 89 !; 33 ?; 128 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
c: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
c: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_3,type,
c_starc: c > c > c ).
thf(func_def_4,type,
c_starb: b > b > b ).
thf(func_def_5,type,
c_stara: a > a > a ).
thf(func_def_9,type,
sK0: a > b ).
thf(func_def_10,type,
sK1: a > c ).
thf(func_def_11,type,
sK2: b > c ).
thf(func_def_12,type,
sK3: b ).
thf(func_def_13,type,
sK4: b ).
thf(func_def_14,type,
sK5: b > a ).
thf(func_def_15,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_16,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_17,type,
vAND: $o > $o > $o ).
thf(func_def_18,type,
vOR: $o > $o > $o ).
thf(func_def_19,type,
vIMP: $o > $o > $o ).
thf(func_def_20,type,
vNOT: $o > $o ).
thf(func_def_21,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f88,plain,
$false,
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4)) != vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4)),
inference(superposition,[],[f17,f77]) ).
thf(f77,plain,
! [X0: b,X1: b] : ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X1),X0)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X1)),vAPP(b,c,sK2,X0)) ),
inference(forward_demodulation,[],[f73,f48]) ).
thf(f48,plain,
! [X0: b] : ( vAPP(a,c,sK1,vAPP(b,a,sK5,X0)) = vAPP(b,c,sK2,X0) ),
inference(superposition,[],[f13,f14]) ).
thf(f14,plain,
! [X9: b] : ( vAPP(a,b,sK0,vAPP(b,a,sK5,X9)) = X9 ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4)) )
& ! [X5: a,X6: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X5)),vAPP(a,c,sK1,X6)) )
& ! [X7: a,X8: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X7),X8)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X7)),vAPP(a,b,sK0,X8)) )
& ! [X9: b] : ( vAPP(a,b,sK0,vAPP(b,a,sK5,X9)) = X9 )
& ! [X11: a] : ( vAPP(b,c,sK2,vAPP(a,b,sK0,X11)) = vAPP(a,c,sK1,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X3: b,X4: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4)) )
& ! [X5: a,X6: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X5)),vAPP(a,c,X1,X6)) )
& ! [X7: a,X8: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X7),X8)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X7)),vAPP(a,b,X0,X8)) )
& ! [X9: b] :
? [X10: a] : ( vAPP(a,b,X0,X10) = X9 )
& ! [X11: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X11)) = vAPP(a,c,X1,X11) ) )
=> ( ? [X4: b,X3: b] : ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X3)),vAPP(b,c,sK2,X4)) )
& ! [X6: a,X5: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X5)),vAPP(a,c,sK1,X6)) )
& ! [X8: a,X7: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X7),X8)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X7)),vAPP(a,b,sK0,X8)) )
& ! [X9: b] :
? [X10: a] : ( vAPP(a,b,sK0,X10) = X9 )
& ! [X11: a] : ( vAPP(b,c,sK2,vAPP(a,b,sK0,X11)) = vAPP(a,c,sK1,X11) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X4: b,X3: b] : ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X3)),vAPP(b,c,sK2,X4)) )
=> ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4)) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X9: b] :
( ? [X10: a] : ( vAPP(a,b,sK0,X10) = X9 )
=> ( vAPP(a,b,sK0,vAPP(b,a,sK5,X9)) = X9 ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X3: b,X4: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4)) )
& ! [X5: a,X6: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X5)),vAPP(a,c,X1,X6)) )
& ! [X7: a,X8: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X7),X8)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X7)),vAPP(a,b,X0,X8)) )
& ! [X9: b] :
? [X10: a] : ( vAPP(a,b,X0,X10) = X9 )
& ! [X11: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X11)) = vAPP(a,c,X1,X11) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X10: b,X11: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X10),X11)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X10)),vAPP(b,c,X2,X11)) )
& ! [X3: a,X4: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4)) )
& ! [X5: a,X6: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X5)),vAPP(a,b,X0,X6)) )
& ! [X7: b] :
? [X8: a] : ( vAPP(a,b,X0,X8) = X7 )
& ! [X9: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X9)) = vAPP(a,c,X1,X9) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X10: b,X11: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X10),X11)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X10)),vAPP(b,c,X2,X11)) )
& ! [X3: a,X4: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4)) )
& ! [X5: a,X6: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X5)),vAPP(a,b,X0,X6)) )
& ! [X7: b] :
? [X8: a] : ( vAPP(a,b,X0,X8) = X7 )
& ! [X9: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X9)) = vAPP(a,c,X1,X9) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X4: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4)) )
& ! [X5: a,X6: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X5)),vAPP(a,b,X0,X6)) )
& ! [X7: b] :
? [X8: a] : ( vAPP(a,b,X0,X8) = X7 )
& ! [X9: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X9)) = vAPP(a,c,X1,X9) ) )
=> ! [X10: b,X11: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X10),X11)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X10)),vAPP(b,c,X2,X11)) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X4: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4)) )
& ! [X3: a,X4: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X3)),vAPP(a,b,X0,X4)) )
& ! [X4: b] :
? [X3: a] : ( vAPP(a,b,X0,X3) = X4 )
& ! [X3: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X3)) = vAPP(a,c,X1,X3) ) )
=> ! [X3: b,X4: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4)) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X4: a] : ( vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4)) )
& ! [X3: a,X4: a] : ( vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X3)),vAPP(a,b,X0,X4)) )
& ! [X4: b] :
? [X3: a] : ( vAPP(a,b,X0,X3) = X4 )
& ! [X3: a] : ( vAPP(b,c,X2,vAPP(a,b,X0,X3)) = vAPP(a,c,X1,X3) ) )
=> ! [X3: b,X4: b] : ( vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM270_pme) ).
thf(f13,plain,
! [X11: a] : ( vAPP(b,c,sK2,vAPP(a,b,sK0,X11)) = vAPP(a,c,sK1,X11) ),
inference(cnf_transformation,[],[f12]) ).
thf(f73,plain,
! [X0: b,X1: b] : ( vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X1)),vAPP(a,c,sK1,vAPP(b,a,sK5,X0))) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X1),X0)) ),
inference(superposition,[],[f56,f14]) ).
thf(f56,plain,
! [X0: b,X1: a] : ( vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X0)),vAPP(a,c,sK1,X1)) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1))) ),
inference(forward_demodulation,[],[f55,f51]) ).
thf(f51,plain,
! [X0: b,X1: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK5,X0)),X1)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X0)),vAPP(a,c,sK1,X1)) ),
inference(superposition,[],[f16,f48]) ).
thf(f16,plain,
! [X6: a,X5: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X5),X6)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X5)),vAPP(a,c,sK1,X6)) ),
inference(cnf_transformation,[],[f12]) ).
thf(f55,plain,
! [X0: b,X1: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK5,X0)),X1)) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1))) ),
inference(superposition,[],[f13,f49]) ).
thf(f49,plain,
! [X0: b,X1: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK5,X0)),X1)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1)) ),
inference(superposition,[],[f15,f14]) ).
thf(f15,plain,
! [X8: a,X7: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X7),X8)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X7)),vAPP(a,b,sK0,X8)) ),
inference(cnf_transformation,[],[f12]) ).
thf(f17,plain,
vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4)) != vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4)),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG298^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.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 : Sat May 18 23:38:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (7247)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (7250)WARNING: value z3 for option sas not known
% 0.14/0.40 % (7248)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % (7251)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (7249)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (7254)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)
% 0.14/0.40 % (7253)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)
% 0.14/0.40 % (7252)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)
% 0.14/0.40 % (7250)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)
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.40 % (7254)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.40 % Exception at run slice level
% 0.14/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.41 % (7254)First to succeed.
% 0.14/0.41 % (7253)Also succeeded, but the first one will report.
% 0.14/0.41 % (7254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7247"
% 0.14/0.41 % (7254)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (7254)------------------------------
% 0.14/0.41 % (7254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (7254)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (7254)Memory used [KB]: 868
% 0.14/0.41 % (7254)Time elapsed: 0.012 s
% 0.14/0.41 % (7254)Instructions burned: 13 (million)
% 0.14/0.41 % (7247)Success in time 0.037 s
%------------------------------------------------------------------------------