TSTP Solution File: ITP001^3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 22:41:59 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 40 ( 12 unt; 21 typ; 0 def)
% Number of atoms : 50 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 11 ~; 3 |; 1 &; 0 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 36 >; 2 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 5 con; 0-6 aty)
% Number of variables : 16 ( 4 ^ 0 !; 0 ?; 16 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
tyop_2Emin_2Ebool: $tType ).
thf(func_def_1,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
c_2Ebool_2E_21:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_4,type,
c_2Emin_2E_3D:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_5,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_6,type,
c_2Ebool_2E_3F:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
c_2Ebool_2ET: $o ).
thf(func_def_8,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_9,type,
c_2Ebool_2E_7E: $o > $o ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(func_def_14,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_15,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_16,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_18,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_19,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_20,type,
vAND: $o > $o > $o ).
thf(func_def_21,type,
vOR: $o > $o > $o ).
thf(func_def_22,type,
vIMP: $o > $o > $o ).
thf(func_def_23,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f91,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f89,f90]) ).
thf(f90,plain,
spl2_1,
inference(avatar_split_clause,[],[f79,f81]) ).
thf(f81,plain,
( spl2_1
<=> ( c_2Ebool_2ET = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
thf(f79,plain,
c_2Ebool_2ET = $true,
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
( ( c_2Ebool_2ET = $true )
| ( iCOMB != iCOMB ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f33,plain,
( ( ( c_2Ebool_2ET = $true )
| ( iCOMB != iCOMB ) )
& ( ( iCOMB = iCOMB )
| ( c_2Ebool_2ET != $true ) ) ),
inference(nnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( c_2Ebool_2ET = $true )
<=> ( iCOMB = iCOMB ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
( c_2Ebool_2ET
<=> ( ( ^ [X0: $o] : X0 )
= ( ^ [X1: $o] : X1 ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,axiom,
( c_2Ebool_2ET
<=> ( ( ^ [X5: $o] : X5 )
= ( ^ [X4: $o] : X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(f89,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f11,f86]) ).
thf(f86,plain,
( spl2_2
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
thf(f11,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f84,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f49,f81]) ).
thf(f49,plain,
c_2Ebool_2ET != $true,
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
c_2Ebool_2ET != $true,
inference(flattening,[],[f14]) ).
thf(f14,plain,
c_2Ebool_2ET != $true,
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
~ c_2Ebool_2ET,
inference(rectify,[],[f10]) ).
thf(f10,negated_conjecture,
~ c_2Ebool_2ET,
inference(negated_conjecture,[],[f9]) ).
thf(f9,conjecture,
c_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP001^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 16:32:22 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7401)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7404)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7406)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)
% 0.15/0.38 % (7403)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7404)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)
% 0.15/0.38 % (7402)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7406)First to succeed.
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (7406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7401"
% 0.15/0.38 % (7406)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 % (7406)------------------------------
% 0.15/0.38 % (7406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7406)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (7406)Memory used [KB]: 779
% 0.15/0.38 % (7406)Time elapsed: 0.004 s
% 0.15/0.38 % (7406)Instructions burned: 5 (million)
% 0.15/0.38 % (7401)Success in time 0.006 s
%------------------------------------------------------------------------------