TSTP Solution File: SEU935^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU935^5 : 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 : n010.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 04:07:04 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 36 ( 6 unt; 19 typ; 0 def)
% Number of atoms : 94 ( 38 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 35 ( 13 ~; 0 |; 15 &; 0 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 36 ( 35 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-6 aty)
% Number of variables : 83 ( 0 ^ 42 !; 35 ?; 83 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
c: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
c: $tType ).
thf(func_def_6,type,
sK0: a > b ).
thf(func_def_7,type,
sK1: b > c ).
thf(func_def_8,type,
sK2: c ).
thf(func_def_9,type,
sK3: c > b ).
thf(func_def_10,type,
sK4: b > 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(f47,plain,
$false,
inference(equality_resolution,[],[f46]) ).
thf(f46,plain,
! [X0: c] : ( sK2 != X0 ),
inference(superposition,[],[f45,f15]) ).
thf(f15,plain,
! [X4: c] : ( vAPP(b,c,sK1,vAPP(c,b,sK3,X4)) = X4 ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ! [X3: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X3)) != sK2 )
& ! [X4: c] : ( vAPP(b,c,sK1,vAPP(c,b,sK3,X4)) = X4 )
& ! [X6: b] : ( vAPP(a,b,sK0,vAPP(b,a,sK4,X6)) = X6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > b,X1: b > c] :
( ? [X2: c] :
! [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) != X2 )
& ! [X4: c] :
? [X5: b] : ( vAPP(b,c,X1,X5) = X4 )
& ! [X6: b] :
? [X7: a] : ( vAPP(a,b,X0,X7) = X6 ) )
=> ( ? [X2: c] :
! [X3: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X3)) != X2 )
& ! [X4: c] :
? [X5: b] : ( vAPP(b,c,sK1,X5) = X4 )
& ! [X6: b] :
? [X7: a] : ( vAPP(a,b,sK0,X7) = X6 ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X2: c] :
! [X3: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X3)) != X2 )
=> ! [X3: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X3)) != sK2 ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X4: c] :
( ? [X5: b] : ( vAPP(b,c,sK1,X5) = X4 )
=> ( vAPP(b,c,sK1,vAPP(c,b,sK3,X4)) = X4 ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X6: b] :
( ? [X7: a] : ( vAPP(a,b,sK0,X7) = X6 )
=> ( vAPP(a,b,sK0,vAPP(b,a,sK4,X6)) = X6 ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > b,X1: b > c] :
( ? [X2: c] :
! [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) != X2 )
& ! [X4: c] :
? [X5: b] : ( vAPP(b,c,X1,X5) = X4 )
& ! [X6: b] :
? [X7: a] : ( vAPP(a,b,X0,X7) = X6 ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > b,X1: b > c] :
( ? [X6: c] :
! [X7: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X7)) != X6 )
& ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 )
& ! [X4: b] :
? [X5: a] : ( vAPP(a,b,X0,X5) = X4 ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a > b,X1: b > c] :
( ? [X6: c] :
! [X7: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X7)) != X6 )
& ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 )
& ! [X4: b] :
? [X5: a] : ( vAPP(a,b,X0,X5) = X4 ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b,X1: b > c] :
( ( ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 )
& ! [X4: b] :
? [X5: a] : ( vAPP(a,b,X0,X5) = X4 ) )
=> ! [X6: c] :
? [X7: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X7)) = X6 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: b > c] :
( ( ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 )
& ! [X2: b] :
? [X3: a] : ( vAPP(a,b,X0,X3) = X2 ) )
=> ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: b > c] :
( ( ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 )
& ! [X2: b] :
? [X3: a] : ( vAPP(a,b,X0,X3) = X2 ) )
=> ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cFN_THM_2_pme) ).
thf(f45,plain,
! [X0: b] : ( sK2 != vAPP(b,c,sK1,X0) ),
inference(superposition,[],[f16,f14]) ).
thf(f14,plain,
! [X6: b] : ( vAPP(a,b,sK0,vAPP(b,a,sK4,X6)) = X6 ),
inference(cnf_transformation,[],[f13]) ).
thf(f16,plain,
! [X3: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X3)) != sK2 ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU935^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 16:31:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (25417)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (25423)WARNING: value z3 for option sas not known
% 0.15/0.37 % (25422)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (25421)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (25424)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (25425)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)
% 0.15/0.37 % (25426)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)
% 0.15/0.37 % (25423)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (25426)First to succeed.
% 0.15/0.38 % (25425)Also succeeded, but the first one will report.
% 0.15/0.38 % (25426)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25417"
% 0.15/0.38 % (25423)Also succeeded, but the first one will report.
% 0.15/0.38 % (25426)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (25426)------------------------------
% 0.15/0.38 % (25426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (25426)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (25426)Memory used [KB]: 773
% 0.15/0.38 % (25426)Time elapsed: 0.005 s
% 0.15/0.38 % (25426)Instructions burned: 5 (million)
% 0.15/0.38 % (25417)Success in time 0.019 s
%------------------------------------------------------------------------------